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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO627+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n007.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 09:54:54 AM UTC 2026

% Result   : Theorem 6.70s 1.47s
% Output   : Refutation 6.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   45 (  10 unt;   0 def)
%            Number of atoms       :  156 (   0 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  148 (  37   ~;  35   |;  67   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   9 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-8 aty)
%            Number of functors    :   13 (  13 usr;  13 con; 0-0 aty)
%            Number of variables   :  201 ( 175   !;  26   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X0,X1,X2,X3)
        & perp(X2,X3,X4,X5) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

fof(f17,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( cyclic(X0,X1,X2,X3)
        & cyclic(X0,X1,X2,X4) )
     => cyclic(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

fof(f21,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

fof(f40,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

fof(f42,axiom,
    ! [X0,X1,X2,X3] :
      ( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
        & ~ coll(X2,X3,X0) )
     => cyclic(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).

fof(f43,axiom,
    ! [X0,X1,X2,X3] :
      ( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
        & coll(X2,X3,X1) )
     => cyclic(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ( circle(X3,X0,X1,X2)
        & circle(X3,X0,X4,X11)
        & perp(X5,X4,X0,X2)
        & coll(X5,X0,X2)
        & perp(X6,X4,X0,X1)
        & coll(X6,X0,X1)
        & circle(X3,X0,X7,X12)
        & perp(X8,X7,X0,X1)
        & coll(X8,X0,X1)
        & perp(X9,X7,X0,X2)
        & coll(X9,X0,X2)
        & perp(X5,X6,X7,X10)
        & perp(X8,X9,X4,X10) )
     => cyclic(X0,X4,X7,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110991F) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
        ( ( circle(X3,X0,X1,X2)
          & circle(X3,X0,X4,X11)
          & perp(X5,X4,X0,X2)
          & coll(X5,X0,X2)
          & perp(X6,X4,X0,X1)
          & coll(X6,X0,X1)
          & circle(X3,X0,X7,X12)
          & perp(X8,X7,X0,X1)
          & coll(X8,X0,X1)
          & perp(X9,X7,X0,X2)
          & coll(X9,X0,X2)
          & perp(X5,X6,X7,X10)
          & perp(X8,X9,X4,X10) )
       => cyclic(X0,X4,X7,X10) ),
    inference(negated_conjecture,[status(cth)],[f95]) ).

fof(f107,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f108,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f109,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(flattening,[],[f108]) ).

fof(f120,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(flattening,[],[f120]) ).

fof(f125,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f149,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f151,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | coll(X2,X3,X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f152,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | coll(X2,X3,X0) ),
    inference(flattening,[],[f151]) ).

fof(f153,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f154,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1) ),
    inference(flattening,[],[f153]) ).

fof(f249,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ cyclic(X0,X4,X7,X10)
      & circle(X3,X0,X1,X2)
      & circle(X3,X0,X4,X11)
      & perp(X5,X4,X0,X2)
      & coll(X5,X0,X2)
      & perp(X6,X4,X0,X1)
      & coll(X6,X0,X1)
      & circle(X3,X0,X7,X12)
      & perp(X8,X7,X0,X1)
      & coll(X8,X0,X1)
      & perp(X9,X7,X0,X2)
      & coll(X9,X0,X2)
      & perp(X5,X6,X7,X10)
      & perp(X8,X9,X4,X10) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f250,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ cyclic(X0,X4,X7,X10)
      & circle(X3,X0,X1,X2)
      & circle(X3,X0,X4,X11)
      & perp(X5,X4,X0,X2)
      & coll(X5,X0,X2)
      & perp(X6,X4,X0,X1)
      & coll(X6,X0,X1)
      & circle(X3,X0,X7,X12)
      & perp(X8,X7,X0,X1)
      & coll(X8,X0,X1)
      & perp(X9,X7,X0,X2)
      & coll(X9,X0,X2)
      & perp(X5,X6,X7,X10)
      & perp(X8,X9,X4,X10) ),
    inference(flattening,[],[f249]) ).

fof(f270,plain,
    ( ~ cyclic(sK20,sK24,sK27,sK30)
    & circle(sK23,sK20,sK21,sK22)
    & circle(sK23,sK20,sK24,sK31)
    & perp(sK25,sK24,sK20,sK22)
    & coll(sK25,sK20,sK22)
    & perp(sK26,sK24,sK20,sK21)
    & coll(sK26,sK20,sK21)
    & circle(sK23,sK20,sK27,sK32)
    & perp(sK28,sK27,sK20,sK21)
    & coll(sK28,sK20,sK21)
    & perp(sK29,sK27,sK20,sK22)
    & coll(sK29,sK20,sK22)
    & perp(sK25,sK26,sK27,sK30)
    & perp(sK28,sK29,sK24,sK30) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30),skolemize(X11,sK31),skolemize(X12,sK32)],[f250]) ).

fof(f278,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f279,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f287,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f291,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f310,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f312,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3)
      | coll(X2,X3,X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f313,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f392,plain,
    perp(sK26,sK24,sK20,sK21),
    inference(cnf_transformation,[],[f270]) ).

fof(f397,plain,
    ~ cyclic(sK20,sK24,sK27,sK30),
    inference(cnf_transformation,[],[f270]) ).

fof(f463,plain,
    perp(sK20,sK21,sK26,sK24),
    inference(resolution,[],[f278,f392]) ).

fof(f1775,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK26,sK24)
      | para(X0,X1,sK20,sK21) ),
    inference(resolution,[],[f279,f392]) ).

fof(f4013,plain,
    para(sK20,sK21,sK20,sK21),
    inference(resolution,[],[f1775,f463]) ).

fof(f4019,plain,
    ! [X0,X1] : eqangle(sK20,sK21,X0,X1,sK20,sK21,X0,X1),
    inference(resolution,[],[f4013,f310]) ).

fof(f4039,plain,
    ! [X0,X1] : eqangle(sK20,sK21,sK20,sK21,X0,X1,X0,X1),
    inference(resolution,[],[f4019,f291]) ).

fof(f4060,plain,
    ! [X0] :
      ( cyclic(sK21,sK21,sK20,X0)
      | ~ coll(sK20,X0,sK21) ),
    inference(resolution,[],[f4039,f313]) ).

fof(f4061,plain,
    ! [X0] :
      ( cyclic(sK21,sK21,sK20,X0)
      | coll(sK20,X0,sK21) ),
    inference(resolution,[],[f4039,f312]) ).

fof(f4062,plain,
    ! [X0] : cyclic(sK21,sK21,sK20,X0),
    inference(forward_subsumption_resolution,[],[f4060,f4061]) ).

fof(f4063,plain,
    ! [X0,X1] :
      ( ~ cyclic(sK21,sK21,sK20,X0)
      | cyclic(sK21,sK20,X0,X1) ),
    inference(resolution,[],[f4062,f287]) ).

fof(f4068,plain,
    ! [X0,X1] : cyclic(sK21,sK20,X0,X1),
    inference(forward_subsumption_resolution,[],[f4063,f4062]) ).

fof(f4080,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(sK21,sK20,X0,X1)
      | cyclic(sK20,X0,X1,X2) ),
    inference(resolution,[],[f4068,f287]) ).

fof(f4085,plain,
    ! [X2,X0,X1] : cyclic(sK20,X0,X1,X2),
    inference(forward_subsumption_resolution,[],[f4080,f4068]) ).

fof(f4110,plain,
    $false,
    inference(resolution,[],[f4085,f397]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO627+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n007.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 08:38:55 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42  Running first-order model finding
% 0.11/0.42  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
% 6.70/1.45  % (1109209)Will run a generic schedule for satisfiability detection.
% 6.70/1.45  % (1109219)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2329216766:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.70/1.45  % (1109215)% WARNING: option uhcvi not known.
% 6.70/1.45  % (1109214)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2123672581_2999 on theBenchmark for (2999ds/0Mi)
% 6.70/1.45  % (1109215)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=975381525:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.70/1.45  % (1109217)dis+10_1_sil=32000:sp=arity:random_seed=1675052575:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.70/1.45  % (1109216)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=571698551:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.70/1.45  % (1109218)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4233877127:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.70/1.45  % (1109220)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2161952815:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.70/1.45  % TRYING [1]
% 6.70/1.45  % TRYING [2]
% 6.70/1.45  % TRYING [3]
% 6.70/1.45  % (1109219)Instruction limit reached! 
% 6.70/1.45  % (1109219)------------------------------
% 6.70/1.45  % (1109219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.70/1.45  % (1109219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.45  % (1109219)CaDiCaL version: 2.1.3
% 6.70/1.45  % (1109219)Termination reason: Instruction limit
% 6.70/1.45  % (1109219)Termination phase: Saturation
% 6.70/1.45  % (1109219)Time elapsed: 0.045 s
% 6.70/1.45  % (1109219)Peak memory usage: 14 MB
% 6.70/1.45  % (1109219)Instructions burned: 131 (million)
% 6.70/1.45  % (1109228)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1623303402:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.70/1.45  % TRYING [1]
% 6.70/1.45  % TRYING [2]
% 6.70/1.45  % (1109217)Instruction limit reached! 
% 6.70/1.45  % (1109217)------------------------------
% 6.70/1.45  % (1109217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.70/1.45  % (1109217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.45  % (1109217)CaDiCaL version: 2.1.3
% 6.70/1.45  % (1109217)Termination reason: Instruction limit
% 6.70/1.45  % (1109217)Termination phase: Saturation
% 6.70/1.45  % (1109217)Time elapsed: 0.066 s
% 6.70/1.45  % (1109217)Peak memory usage: 13 MB
% 6.70/1.45  % (1109217)Instructions burned: 103 (million)
% 6.70/1.45  % (1109218)Instruction limit reached! 
% 6.70/1.45  % (1109218)------------------------------
% 6.70/1.45  % (1109218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.70/1.45  % (1109218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.45  % (1109218)CaDiCaL version: 2.1.3
% 6.70/1.45  % (1109218)Termination reason: Instruction limit
% 6.70/1.45  % (1109218)Termination phase: Saturation
% 6.70/1.45  % (1109218)Time elapsed: 0.069 s
% 6.70/1.45  % (1109218)Peak memory usage: 13 MB
% 6.70/1.45  % (1109218)Instructions burned: 117 (million)
% 6.70/1.45  % TRYING [3]
% 6.70/1.45  % (1109230)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=129827048:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.70/1.45  % (1109231)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=370001846:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.70/1.45  % (1109220)Instruction limit reached! 
% 6.70/1.45  % (1109220)------------------------------
% 6.70/1.45  % (1109220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.70/1.45  % (1109220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.45  % (1109220)CaDiCaL version: 2.1.3
% 6.70/1.45  % (1109220)Termination reason: Instruction limit
% 6.70/1.45  % (1109220)Termination phase: Saturation
% 6.70/1.45  % (1109220)Time elapsed: 0.089 s
% 6.70/1.45  % (1109220)Peak memory usage: 15 MB
% 6.70/1.45  % (1109220)Instructions burned: 160 (million)
% 6.70/1.45  % (1109234)ott-21_1_sil=16000:fs=off:random_seed=3698443383:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.70/1.45  % (1109230)Instruction limit reached! 
% 6.70/1.45  % (1109230)------------------------------
% 6.70/1.45  % (1109230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.70/1.45  % (1109230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.47  % (1109230)CaDiCaL version: 2.1.3
% 6.70/1.47  % (1109230)Termination reason: Instruction limit
% 6.70/1.47  % (1109230)Termination phase: Saturation
% 6.70/1.47  % (1109230)Time elapsed: 0.081 s
% 6.70/1.47  % (1109230)Peak memory usage: 15 MB
% 6.70/1.47  % (1109230)Instructions burned: 131 (million)
% 6.70/1.47  % (1109228)Instruction limit reached! 
% 6.70/1.47  % (1109228)------------------------------
% 6.70/1.47  % (1109228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.70/1.47  % (1109228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.47  % (1109228)CaDiCaL version: 2.1.3
% 6.70/1.47  % (1109228)Termination reason: Instruction limit
% 6.70/1.47  % (1109228)Termination phase: Finite model building constraint generation
% 6.70/1.47  % (1109228)Time elapsed: 0.131 s
% 6.70/1.47  % (1109228)Peak memory usage: 24 MB
% 6.70/1.47  % (1109228)Instructions burned: 715 (million)
% 6.70/1.47  % (1109236)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2058649601:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.70/1.47  % (1109237)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2411635057:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.70/1.47  % TRYING [1]
% 6.70/1.47  % TRYING [2]
% 6.70/1.47  % (1109234)Instruction limit reached! 
% 6.70/1.47  % (1109234)------------------------------
% 6.70/1.47  % (1109234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.70/1.47  % (1109234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.47  % (1109234)CaDiCaL version: 2.1.3
% 6.70/1.47  % (1109234)Termination reason: Instruction limit
% 6.70/1.47  % (1109234)Termination phase: Saturation
% 6.70/1.47  % (1109234)Time elapsed: 0.093 s
% 6.70/1.47  % (1109234)Peak memory usage: 13 MB
% 6.70/1.47  % (1109234)Instructions burned: 182 (million)
% 6.70/1.47  % (1109240)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2085553295:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.70/1.47  % TRYING [3]
% 6.70/1.47  % (1109237)Instruction limit reached! 
% 6.70/1.47  % (1109237)------------------------------
% 6.70/1.47  % (1109237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.70/1.47  % (1109237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.47  % (1109237)CaDiCaL version: 2.1.3
% 6.70/1.47  % (1109237)Termination reason: Instruction limit
% 6.70/1.47  % (1109237)Termination phase: Finite model building constraint generation
% 6.70/1.47  % (1109237)Time elapsed: 0.163 s
% 6.70/1.47  % (1109237)Peak memory usage: 50 MB
% 6.70/1.47  % (1109237)Instructions burned: 866 (million)
% 6.70/1.47  % (1109242)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2384100585:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 6.70/1.47  % (1109242)Cannot represent all propositional literals internally
% 6.70/1.47  % (1109242)Refutation not found, incomplete strategy
% 6.70/1.47  % (1109242)------------------------------
% 6.70/1.47  % (1109242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.70/1.47  % (1109242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.47  % (1109242)CaDiCaL version: 2.1.3
% 6.70/1.47  % (1109242)Termination reason: Refutation not found, incomplete strategy
% 6.70/1.47  % (1109242)Time elapsed: 0.003 s
% 6.70/1.47  % (1109242)Peak memory usage: 10 MB
% 6.70/1.47  % (1109242)Instructions burned: 13 (million)
% 6.70/1.47  % (1109242)------------------------------
% 6.70/1.47  % (1109242)------------------------------
% 6.70/1.47  % (1109244)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=1409669242:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 6.70/1.47  % (1109236)Instruction limit reached! 
% 6.70/1.47  % (1109236)------------------------------
% 6.70/1.47  % (1109236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.70/1.47  % (1109236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.47  % (1109236)CaDiCaL version: 2.1.3
% 6.70/1.47  % (1109236)Termination reason: Instruction limit
% 6.70/1.47  % (1109236)Termination phase: Saturation
% 6.70/1.47  % (1109236)Time elapsed: 0.272 s
% 6.70/1.47  % (1109236)Peak memory usage: 14 MB
% 6.70/1.47  % (1109236)Instructions burned: 477 (million)
% 6.70/1.47  % (1109246)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1203073522:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.70/1.47  % (1109231)Instruction limit reached! 
% 6.70/1.47  % (1109231)------------------------------
% 6.70/1.47  % (1109231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.70/1.47  % (1109231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.47  % (1109231)CaDiCaL version: 2.1.3
% 6.70/1.47  % (1109231)Termination reason: Instruction limit
% 6.70/1.47  % (1109231)Termination phase: Saturation
% 6.70/1.47  % (1109231)Time elapsed: 0.403 s
% 6.70/1.47  % (1109231)Peak memory usage: 19 MB
% 6.70/1.47  % (1109231)Instructions burned: 685 (million)
% 6.70/1.47  % (1109248)fmb+10_1_sil=64000:random_seed=3371969956:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 6.70/1.47  % TRYING [1]
% 6.70/1.47  % TRYING [2]
% 6.70/1.47  % TRYING [3]
% 6.70/1.47  % (1109244)Instruction limit reached! 
% 6.70/1.47  % (1109244)------------------------------
% 6.70/1.47  % (1109244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.70/1.47  % (1109244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.47  % (1109244)CaDiCaL version: 2.1.3
% 6.70/1.47  % (1109244)Termination reason: Instruction limit
% 6.70/1.47  % (1109244)Termination phase: Saturation
% 6.70/1.47  % (1109244)Time elapsed: 0.240 s
% 6.70/1.47  % (1109244)Peak memory usage: 21 MB
% 6.70/1.47  % (1109244)Instructions burned: 693 (million)
% 6.70/1.47  % (1109250)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2467021662:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 6.70/1.47  % (1109250)Cannot represent all propositional literals internally
% 6.70/1.47  % (1109250)Refutation not found, incomplete strategy
% 6.70/1.47  % (1109250)------------------------------
% 6.70/1.47  % (1109250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.70/1.47  % (1109250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.47  % (1109250)CaDiCaL version: 2.1.3
% 6.70/1.47  % (1109250)Termination reason: Refutation not found, incomplete strategy
% 6.70/1.47  % (1109250)Time elapsed: 0.003 s
% 6.70/1.47  % (1109250)Peak memory usage: 10 MB
% 6.70/1.47  % (1109250)Instructions burned: 13 (million)
% 6.70/1.47  % (1109250)------------------------------
% 6.70/1.47  % (1109250)------------------------------
% 6.70/1.47  % (1109252)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=751566076:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 6.70/1.47  % TRYING [8]
% 6.70/1.47  % (1109252)Instruction limit reached! 
% 6.70/1.47  % (1109252)------------------------------
% 6.70/1.47  % (1109252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.70/1.47  % (1109252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.47  % (1109252)CaDiCaL version: 2.1.3
% 6.70/1.47  % (1109252)Termination reason: Instruction limit
% 6.70/1.47  % (1109252)Termination phase: Finite model building constraint generation
% 6.70/1.47  % (1109252)Time elapsed: 0.152 s
% 6.70/1.47  % (1109252)Peak memory usage: 46 MB
% 6.70/1.47  % (1109252)Instructions burned: 920 (million)
% 6.70/1.47  % (1109254)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2285488692:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 6.70/1.47  % (1109240)Instruction limit reached! 
% 6.70/1.47  % (1109240)------------------------------
% 6.70/1.47  % (1109240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.70/1.47  % (1109240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.47  % (1109240)CaDiCaL version: 2.1.3
% 6.70/1.47  % (1109240)Termination reason: Instruction limit
% 6.70/1.47  % (1109240)Termination phase: Saturation
% 6.70/1.47  % (1109240)Time elapsed: 0.687 s
% 6.70/1.47  % (1109240)Peak memory usage: 24 MB
% 6.70/1.47  % (1109240)Instructions burned: 1179 (million)
% 6.70/1.47  % (1109256)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3505394665:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 6.70/1.47  % (1109246)Instruction limit reached! 
% 6.70/1.47  % (1109246)------------------------------
% 6.70/1.47  % (1109246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.70/1.47  % (1109246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.47  % (1109246)CaDiCaL version: 2.1.3
% 6.70/1.47  % (1109246)Termination reason: Instruction limit
% 6.70/1.47  % (1109246)Termination phase: Saturation
% 6.70/1.47  % (1109246)Time elapsed: 0.485 s
% 6.70/1.47  % (1109246)Peak memory usage: 18 MB
% 6.70/1.47  % (1109246)Instructions burned: 880 (million)
% 6.70/1.47  % (1109256) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1109209-1109256"...
% 6.70/1.47  % (1109256)...printing done.
% 6.70/1.47  % (1109256)Refutation found. Thanks to Tanya!
% 6.70/1.47  % SZS status Theorem for theBenchmark
% 6.70/1.47  % SZS output start Proof for theBenchmark
% See solution above
% 6.70/1.47  % (1109256)------------------------------
% 6.70/1.47  % (1109256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.70/1.47  % (1109256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/1.47  % (1109256)CaDiCaL version: 2.1.3
% 6.70/1.47  % (1109256)Termination reason: Refutation
% 6.70/1.47  % (1109256)Time elapsed: 0.046 s
% 6.70/1.47  % (1109256)Peak memory usage: 13 MB
% 6.70/1.47  % (1109256)Instructions burned: 81 (million)
% 6.70/1.47  % (1109209)Success in time 1.04 s
% 6.70/1.47  % Vampire exiting
%------------------------------------------------------------------------------