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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUM856+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n014.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 12:25:56 PM UTC 2026

% Result   : Theorem 14.19s 3.83s
% Output   : Refutation 14.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   75 (  19 unt;   5 def)
%            Number of atoms       :  150 (  14 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  133 (  58   ~;  63   |;   3   &)
%                                         (   7 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   57 (   0 sgn  56   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    greater(vmul(vd517,vd519),vmul(vd518,vd520)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(scope(318)), 525, 0)') ).

fof(f2,negated_conjecture,
    ~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    ( ( greater(vd519,vd520)
      & geq(vd517,vd518) )
    | ( geq(vd519,vd520)
      & greater(vd517,vd518) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(antec(scope(318)))') ).

fof(f4,axiom,
    ! [X0,X1,X2,X3] :
      ( ( greater(X2,X3)
        & greater(X0,X1) )
     => greater(vmul(X0,X2),vmul(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(312, 0), 0)') ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( greater(X1,X2)
     => greater(vmul(X1,X0),vmul(X2,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).

fof(f12,axiom,
    ! [X0,X1,X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).

fof(f13,axiom,
    ! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).

fof(f29,axiom,
    ! [X0,X1] : greater(vplus(X0,X1),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).

fof(f36,axiom,
    ! [X0,X1] :
      ( geq(X1,X0)
    <=> ( greater(X1,X0)
        | X1 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).

fof(f44,axiom,
    ! [X0,X1] :
      ( greater(X1,X0)
    <=> ? [X2] : X1 = vplus(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).

fof(f61,plain,
    ~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
    inference(flattening,[],[f2]) ).

fof(f62,plain,
    ! [X0,X1,X2,X3] :
      ( greater(vmul(X0,X2),vmul(X1,X3))
      | ~ greater(X2,X3)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f63,plain,
    ! [X0,X1,X2,X3] :
      ( greater(vmul(X0,X2),vmul(X1,X3))
      | ~ greater(X2,X3)
      | ~ greater(X0,X1) ),
    inference(flattening,[],[f62]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( greater(vmul(X1,X0),vmul(X2,X0))
      | ~ greater(X1,X2) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f99,plain,
    ~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
    inference(cnf_transformation,[],[f61]) ).

fof(f101,plain,
    ( geq(vd519,vd520)
    | greater(vd519,vd520) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f102,plain,
    ( greater(vd517,vd518)
    | geq(vd517,vd518) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f103,plain,
    ( greater(vd517,vd518)
    | greater(vd519,vd520) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f104,plain,
    ! [X2,X3,X0,X1] :
      ( greater(vmul(X0,X2),vmul(X1,X3))
      | ~ greater(X2,X3)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f110,plain,
    ! [X2,X0,X1] :
      ( greater(vmul(X1,X0),vmul(X2,X0))
      | ~ greater(X1,X2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f112,plain,
    ! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
    inference(cnf_transformation,[],[f12]) ).

fof(f113,plain,
    ! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
    inference(cnf_transformation,[],[f13]) ).

fof(f131,plain,
    ! [X0,X1] : greater(vplus(X0,X1),X0),
    inference(cnf_transformation,[],[f29]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ~ geq(X1,X0)
      | greater(X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( geq(X1,X0)
      | ~ greater(X1,X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | vplus(X0,sK1(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f193,definition,
    ( spl4_1
  <=> geq(vd517,vd518) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

fof(f195,plain,
    ( geq(vd517,vd518)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f197,definition,
    ( spl4_2
  <=> geq(vd519,vd520) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

fof(f198,plain,
    ( ~ geq(vd519,vd520)
    | spl4_2 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f199,plain,
    ( geq(vd519,vd520)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f202,definition,
    ( spl4_3
  <=> greater(vd517,vd518) ),
    introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).

fof(f203,plain,
    ( ~ greater(vd517,vd518)
    | spl4_3 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f204,plain,
    ( greater(vd517,vd518)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f205,plain,
    ( spl4_1
    | spl4_3 ),
    inference(avatar_split_clause,[],[f102,f202,f193]) ).

fof(f207,definition,
    ( spl4_4
  <=> greater(vd519,vd520) ),
    introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).

fof(f209,plain,
    ( greater(vd519,vd520)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f210,plain,
    ( spl4_4
    | spl4_3 ),
    inference(avatar_split_clause,[],[f103,f202,f207]) ).

fof(f292,plain,
    ( greater(vd519,vd520)
    | vd519 = vd520
    | ~ spl4_2 ),
    inference(resolution,[],[f141,f199]) ).

fof(f293,plain,
    ( greater(vd517,vd518)
    | vd517 = vd518
    | ~ spl4_1 ),
    inference(resolution,[],[f141,f195]) ).

fof(f395,plain,
    ! [X2,X0,X1] :
      ( greater(vmul(X2,X0),vmul(X0,X1))
      | ~ greater(X2,X1) ),
    inference(superposition,[],[f110,f113]) ).

fof(f474,definition,
    ( spl4_5
  <=> vd519 = vd520 ),
    introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).

fof(f476,plain,
    ( vd519 = vd520
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f477,plain,
    ( spl4_5
    | spl4_4
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f292,f197,f207,f474]) ).

fof(f835,plain,
    ( ~ greater(vd519,vd520)
    | ~ greater(vd517,vd518) ),
    inference(resolution,[],[f104,f99]) ).

fof(f864,plain,
    ( ~ greater(vd519,vd520)
    | ~ spl4_3 ),
    inference(forward_subsumption_resolution,[],[f835,f204]) ).

fof(f865,plain,
    ( ~ spl4_4
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f864,f202,f207]) ).

fof(f870,plain,
    ( ~ greater(vmul(vd517,vd519),vmul(vd518,vd519))
    | ~ spl4_5 ),
    inference(superposition,[],[f99,f476]) ).

fof(f871,plain,
    ( ~ greater(vmul(vd517,vd519),vmul(vd519,vd518))
    | ~ spl4_5 ),
    inference(forward_demodulation,[],[f870,f113]) ).

fof(f900,plain,
    ! [X2,X0,X1] : greater(vmul(X0,vplus(X1,X2)),vmul(X0,X1)),
    inference(superposition,[],[f131,f112]) ).

fof(f3216,plain,
    ( ~ greater(vd517,vd518)
    | ~ spl4_5 ),
    inference(resolution,[],[f395,f871]) ).

fof(f3254,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_5 ),
    inference(forward_subsumption_resolution,[],[f3216,f204]) ).

fof(f3255,plain,
    ( ~ spl4_3
    | ~ spl4_5 ),
    inference(avatar_contradiction_clause,[],[f3254]) ).

fof(f3256,plain,
    geq(vd519,vd520),
    inference(forward_subsumption_resolution,[],[f101,f143]) ).

fof(f3267,plain,
    ( $false
    | spl4_2 ),
    inference(forward_subsumption_resolution,[],[f3256,f198]) ).

fof(f3268,plain,
    spl4_2,
    inference(avatar_contradiction_clause,[],[f3267]) ).

fof(f3282,plain,
    ( vd519 = vplus(vd520,sK1(vd520,vd519))
    | ~ spl4_4 ),
    inference(resolution,[],[f209,f153]) ).

fof(f3291,plain,
    ( vd517 = vd518
    | ~ spl4_1
    | spl4_3 ),
    inference(forward_subsumption_resolution,[],[f293,f203]) ).

fof(f3302,plain,
    ( ~ greater(vmul(vd517,vd519),vmul(vd517,vd520))
    | ~ spl4_1
    | spl4_3 ),
    inference(superposition,[],[f99,f3291]) ).

fof(f3376,plain,
    ( ! [X0] : greater(vmul(X0,vd519),vmul(X0,vd520))
    | ~ spl4_4 ),
    inference(superposition,[],[f900,f3282]) ).

fof(f68490,plain,
    ( $false
    | ~ spl4_1
    | spl4_3
    | ~ spl4_4 ),
    inference(resolution,[],[f3376,f3302]) ).

fof(f68537,plain,
    ( ~ spl4_1
    | spl4_3
    | ~ spl4_4 ),
    inference(avatar_contradiction_clause,[],[f68490]) ).

cnf(s2,plain,
    ( spl4_1
    | spl4_3 ),
    inference(sat_conversion,[],[f205]) ).

cnf(s3,plain,
    ( spl4_3
    | spl4_4 ),
    inference(sat_conversion,[],[f210]) ).

cnf(s4,plain,
    ( ~ spl4_2
    | spl4_4
    | spl4_5 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s6,plain,
    ( ~ spl4_3
    | ~ spl4_4 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s11,plain,
    ( ~ spl4_3
    | ~ spl4_5 ),
    inference(sat_conversion,[],[f3255]) ).

cnf(s12,plain,
    spl4_2,
    inference(sat_conversion,[],[f3268]) ).

cnf(s28,plain,
    ( ~ spl4_1
    | spl4_3
    | ~ spl4_4 ),
    inference(sat_conversion,[],[f68537]) ).

cnf(s30,plain,
    ( spl4_4
    | spl4_5 ),
    inference(rat,[],[s4,s12]) ).

cnf(s31,plain,
    ~ spl4_3,
    inference(rat,[],[s30,s6,s11]) ).

cnf(s32,plain,
    spl4_4,
    inference(rat,[],[s3,s31]) ).

cnf(s33,plain,
    spl4_1,
    inference(rat,[],[s2,s31]) ).

cnf(s35,plain,
    $false,
    inference(rat,[],[s28,s31,s32,s33]) ).

fof(f68630,plain,
    $false,
    inference(avatar_sat_refutation,[],[s35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM856+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39  % Computer : n014.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 21:31:32 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43  Running first-order model finding
% 0.11/0.43  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
% 16.01/2.77  % (1187137)Will run a generic schedule for satisfiability detection.
% 16.01/2.77  % (1187146)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3773785005:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.01/2.77  % (1187143)% WARNING: option uhcvi not known.
% 16.01/2.77  % (1187142)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1502057366_2999 on theBenchmark for (2999ds/0Mi)
% 16.01/2.77  % (1187143)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2325027462:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.01/2.77  % (1187144)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=981348408:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.01/2.77  % (1187145)dis+10_1_sil=32000:sp=arity:random_seed=1879368816:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.01/2.77  % (1187147)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=725639378:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.01/2.77  % (1187148)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1819266482:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.01/2.77  % TRYING [1]
% 16.01/2.77  % TRYING [2]
% 16.01/2.77  % TRYING [3]
% 16.01/2.77  % TRYING [4]
% 16.01/2.77  % (1187146)Instruction limit reached! 
% 16.01/2.77  % (1187146)------------------------------
% 16.01/2.77  % (1187146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.77  % (1187146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.77  % (1187146)CaDiCaL version: 2.1.3
% 16.01/2.77  % (1187146)Termination reason: Instruction limit
% 16.01/2.77  % (1187146)Termination phase: Saturation
% 16.01/2.77  % (1187146)Time elapsed: 0.042 s
% 16.01/2.77  % (1187146)Peak memory usage: 13 MB
% 16.01/2.77  % (1187146)Instructions burned: 116 (million)
% 16.01/2.77  % TRYING [5]
% 16.01/2.77  % (1187156)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1863192458:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.01/2.77  % TRYING [1]
% 16.01/2.77  % TRYING [2]
% 16.01/2.77  % TRYING [3]
% 16.01/2.77  % TRYING [4]
% 16.01/2.77  % (1187145)Instruction limit reached! 
% 16.01/2.77  % (1187145)------------------------------
% 16.01/2.77  % (1187145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.77  % (1187145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.77  % (1187145)CaDiCaL version: 2.1.3
% 16.01/2.77  % (1187145)Termination reason: Instruction limit
% 16.01/2.77  % (1187145)Termination phase: Saturation
% 16.01/2.77  % (1187145)Time elapsed: 0.066 s
% 16.01/2.77  % (1187145)Peak memory usage: 12 MB
% 16.01/2.77  % (1187145)Instructions burned: 103 (million)
% 16.01/2.77  % TRYING [5]
% 16.01/2.77  % (1187158)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4039968896:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.01/2.77  % (1187147)Instruction limit reached! 
% 16.01/2.77  % (1187147)------------------------------
% 16.01/2.77  % (1187147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.77  % (1187147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.77  % (1187147)CaDiCaL version: 2.1.3
% 16.01/2.77  % (1187147)Termination reason: Instruction limit
% 16.01/2.77  % (1187147)Termination phase: Saturation
% 16.01/2.77  % (1187147)Time elapsed: 0.089 s
% 16.01/2.77  % (1187147)Peak memory usage: 13 MB
% 16.01/2.77  % (1187147)Instructions burned: 131 (million)
% 16.01/2.77  % (1187160)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=4076625229:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.01/2.77  % TRYING [6]
% 16.01/2.77  % (1187148)Instruction limit reached! 
% 16.01/2.77  % (1187148)------------------------------
% 16.01/2.77  % (1187148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.01/2.77  % (1187148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.01/2.77  % (1187148)CaDiCaL version: 2.1.3
% 16.01/2.77  % (1187148)Termination reason: Instruction limit
% 16.01/2.77  % (1187148)Termination phase: Saturation
% 16.01/2.77  % (1187148)Time elapsed: 0.110 s
% 16.01/2.77  % (1187148)Peak memory usage: 14 MB
% 16.01/2.77  % (1187148)Instructions burned: 159 (million)
% 16.01/2.77  % TRYING [6]
% 16.01/2.77  % (1187162)ott-21_1_sil=16000:fs=off:random_seed=3389048143:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.01/2.77  % (1187158)Instruction limit reached! 
% 16.01/2.77  % (1187158)------------------------------
% 16.01/2.77  % (1187158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/3.83  % (1187158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.83  % (1187158)CaDiCaL version: 2.1.3
% 14.19/3.83  % (1187158)Termination reason: Instruction limit
% 14.19/3.83  % (1187158)Termination phase: Saturation
% 14.19/3.83  % (1187158)Time elapsed: 0.091 s
% 14.19/3.83  % (1187158)Peak memory usage: 13 MB
% 14.19/3.83  % (1187158)Instructions burned: 132 (million)
% 14.19/3.83  % (1187164)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1711696477:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 14.19/3.83  % (1187156)Instruction limit reached! 
% 14.19/3.83  % (1187156)------------------------------
% 14.19/3.83  % (1187156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/3.83  % (1187156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.83  % (1187156)CaDiCaL version: 2.1.3
% 14.19/3.83  % (1187156)Termination reason: Instruction limit
% 14.19/3.83  % (1187156)Termination phase: Finite model building constraint generation
% 14.19/3.83  % (1187156)Time elapsed: 0.152 s
% 14.19/3.83  % (1187156)Peak memory usage: 37 MB
% 14.19/3.83  % (1187156)Instructions burned: 720 (million)
% 14.19/3.83  % (1187166)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1420955365:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 14.19/3.83  % TRYING [1]
% 14.19/3.83  % TRYING [2]
% 14.19/3.83  % TRYING [3]
% 14.19/3.83  % (1187162)Instruction limit reached! 
% 14.19/3.83  % (1187162)------------------------------
% 14.19/3.83  % (1187162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/3.83  % (1187162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.83  % (1187162)CaDiCaL version: 2.1.3
% 14.19/3.83  % (1187162)Termination reason: Instruction limit
% 14.19/3.83  % (1187162)Termination phase: Saturation
% 14.19/3.83  % (1187162)Time elapsed: 0.095 s
% 14.19/3.83  % (1187162)Peak memory usage: 13 MB
% 14.19/3.83  % (1187162)Instructions burned: 180 (million)
% 14.19/3.83  % TRYING [4]
% 14.19/3.83  % (1187168)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=601878595:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 14.19/3.83  % TRYING [7]
% 14.19/3.83  % TRYING [5]
% 14.19/3.83  % TRYING [6]
% 14.19/3.83  % (1187166)Instruction limit reached! 
% 14.19/3.83  % (1187166)------------------------------
% 14.19/3.83  % (1187166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/3.83  % (1187166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.83  % (1187166)CaDiCaL version: 2.1.3
% 14.19/3.83  % (1187166)Termination reason: Instruction limit
% 14.19/3.83  % (1187166)Termination phase: Finite model building constraint generation
% 14.19/3.83  % (1187166)Time elapsed: 0.173 s
% 14.19/3.83  % (1187166)Peak memory usage: 27 MB
% 14.19/3.83  % (1187166)Instructions burned: 869 (million)
% 14.19/3.83  % (1187170)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=454350066:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 14.19/3.83  % TRYING [14]
% 14.19/3.83  % (1187164)Instruction limit reached! 
% 14.19/3.83  % (1187164)------------------------------
% 14.19/3.83  % (1187164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/3.83  % (1187164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.83  % (1187164)CaDiCaL version: 2.1.3
% 14.19/3.83  % (1187164)Termination reason: Instruction limit
% 14.19/3.83  % (1187164)Termination phase: Saturation
% 14.19/3.83  % (1187164)Time elapsed: 0.309 s
% 14.19/3.83  % (1187164)Peak memory usage: 14 MB
% 14.19/3.83  % (1187164)Instructions burned: 478 (million)
% 14.19/3.83  % (1187172)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=2274470520:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 14.19/3.83  % (1187160)Instruction limit reached! 
% 14.19/3.83  % (1187160)------------------------------
% 14.19/3.83  % (1187160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/3.83  % (1187160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.83  % (1187160)CaDiCaL version: 2.1.3
% 14.19/3.83  % (1187160)Termination reason: Instruction limit
% 14.19/3.83  % (1187160)Termination phase: Saturation
% 14.19/3.83  % (1187160)Time elapsed: 0.430 s
% 14.19/3.83  % (1187160)Peak memory usage: 17 MB
% 14.19/3.83  % (1187160)Instructions burned: 685 (million)
% 14.19/3.83  % TRYING [8]
% 14.19/3.83  % (1187174)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=967253634:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 14.19/3.83  % (1187170)Instruction limit reached! 
% 14.19/3.83  % (1187170)------------------------------
% 14.19/3.83  % (1187170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/3.83  % (1187170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.83  % (1187170)CaDiCaL version: 2.1.3
% 14.19/3.83  % (1187170)Termination reason: Instruction limit
% 14.19/3.83  % (1187170)Termination phase: Finite model building constraint generation
% 14.19/3.83  % (1187170)Time elapsed: 0.187 s
% 14.19/3.83  % (1187170)Peak memory usage: 81 MB
% 14.19/3.83  % (1187170)Instructions burned: 895 (million)
% 14.19/3.83  % (1187176)fmb+10_1_sil=64000:random_seed=2934571401:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 14.19/3.83  % TRYING [1]
% 14.19/3.83  % TRYING [2]
% 14.19/3.83  % TRYING [3]
% 14.19/3.83  % TRYING [4]
% 14.19/3.83  % TRYING [5]
% 14.19/3.83  % TRYING [6]
% 14.19/3.83  % TRYING [7]
% 14.19/3.83  % (1187172)Instruction limit reached! 
% 14.19/3.83  % (1187172)------------------------------
% 14.19/3.83  % (1187172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/3.83  % (1187172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.83  % (1187172)CaDiCaL version: 2.1.3
% 14.19/3.83  % (1187172)Termination reason: Instruction limit
% 14.19/3.83  % (1187172)Termination phase: Saturation
% 14.19/3.83  % (1187172)Time elapsed: 0.399 s
% 14.19/3.83  % (1187172)Peak memory usage: 19 MB
% 14.19/3.83  % (1187172)Instructions burned: 693 (million)
% 14.19/3.83  % (1187178)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3322046774:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 14.19/3.83  % TRYING [20]
% 14.19/3.83  % (1187168)Instruction limit reached! 
% 14.19/3.83  % (1187168)------------------------------
% 14.19/3.83  % (1187168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/3.83  % (1187168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.83  % (1187168)CaDiCaL version: 2.1.3
% 14.19/3.83  % (1187168)Termination reason: Instruction limit
% 14.19/3.83  % (1187168)Termination phase: Saturation
% 14.19/3.83  % (1187168)Time elapsed: 0.759 s
% 14.19/3.83  % (1187168)Peak memory usage: 20 MB
% 14.19/3.83  % (1187168)Instructions burned: 1179 (million)
% 14.19/3.83  % (1187180)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2449129116:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 14.19/3.83  % TRYING [8]
% 14.19/3.83  % TRYING [9]
% 14.19/3.83  % (1187174)Instruction limit reached! 
% 14.19/3.83  % (1187174)------------------------------
% 14.19/3.83  % (1187174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/3.83  % (1187174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.83  % (1187174)CaDiCaL version: 2.1.3
% 14.19/3.83  % (1187174)Termination reason: Instruction limit
% 14.19/3.83  % (1187174)Termination phase: Saturation
% 14.19/3.83  % (1187174)Time elapsed: 0.504 s
% 14.19/3.83  % (1187174)Peak memory usage: 19 MB
% 14.19/3.83  % (1187174)Instructions burned: 881 (million)
% 14.19/3.83  % (1187182)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2636365341:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 14.19/3.83  % (1187180)Instruction limit reached! 
% 14.19/3.83  % (1187180)------------------------------
% 14.19/3.83  % (1187180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/3.83  % (1187180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.83  % (1187180)CaDiCaL version: 2.1.3
% 14.19/3.83  % (1187180)Termination reason: Instruction limit
% 14.19/3.83  % (1187180)Termination phase: Finite model building constraint generation
% 14.19/3.83  % (1187180)Time elapsed: 0.354 s
% 14.19/3.83  % (1187180)Peak memory usage: 70 MB
% 14.19/3.83  % (1187180)Instructions burned: 921 (million)
% 14.19/3.83  % TRYING [8]
% 14.19/3.83  % (1187184)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4095100514:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 14.19/3.83  % TRYING [10]
% 14.19/3.83  % (1187184)Instruction limit reached! 
% 14.19/3.83  % (1187184)------------------------------
% 14.19/3.83  % (1187184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/3.83  % (1187184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.83  % (1187184)CaDiCaL version: 2.1.3
% 14.19/3.83  % (1187184)Termination reason: Instruction limit
% 14.19/3.83  % (1187184)Termination phase: Saturation
% 14.19/3.83  % (1187184)Time elapsed: 0.864 s
% 14.19/3.83  % (1187184)Peak memory usage: 33 MB
% 14.19/3.83  % (1187184)Instructions burned: 1473 (million)
% 14.19/3.83  % (1187186)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2528514555:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 14.19/3.83  % TRYING [77]
% 14.19/3.83  % TRYING [9]
% 14.19/3.83  % (1187182) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1187137-1187182"...
% 14.19/3.83  % (1187182)...printing done.
% 14.19/3.83  % (1187182)Refutation found. Thanks to Tanya!
% 14.19/3.83  % SZS status Theorem for theBenchmark
% 14.19/3.83  % SZS output start Proof for theBenchmark
% See solution above
% 14.19/3.83  % (1187182)------------------------------
% 14.19/3.83  % (1187182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/3.83  % (1187182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.83  % (1187182)CaDiCaL version: 2.1.3
% 14.19/3.83  % (1187182)Termination reason: Refutation
% 14.19/3.83  % (1187182)Time elapsed: 2.194 s
% 14.19/3.83  % (1187182)Peak memory usage: 37 MB
% 14.19/3.83  % (1187182)Instructions burned: 3954 (million)
% 14.19/3.83  % (1187137)Success in time 3.394 s
% 14.19/3.83  % Vampire exiting
%------------------------------------------------------------------------------