↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO624+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 : n019.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 09:54:53 AM UTC 2026

% Result   : Theorem 18.35s 3.11s
% Output   : Refutation 18.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   59 (   9 unt;   0 def)
%            Number of atoms       :  187 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  182 (  54   ~;  53   |;  63   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-8 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :  267 ( 247   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( cong(X4,X0,X4,X1)
        & cong(X4,X0,X4,X2)
        & cong(X4,X0,X4,X3) )
     => cyclic(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD13) ).

fof(f16,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X1,X0,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).

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(f19,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

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(f39,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

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(f41,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).

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] :
      ( ( perp(X3,X2,X0,X1)
        & coll(X3,X0,X1)
        & perp(X5,X2,X0,X4)
        & coll(X5,X0,X4)
        & coll(X2,X3,X6)
        & cong(X2,X3,X2,X6)
        & coll(X2,X5,X7)
        & cong(X2,X5,X2,X7)
        & coll(X8,X2,X3)
        & coll(X8,X0,X4)
        & coll(X9,X0,X1)
        & coll(X9,X2,X5) )
     => cyclic(X0,X6,X7,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110988) ).

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

fof(f115,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X0,X1,X2,X3)
      | ~ cong(X4,X0,X4,X1)
      | ~ cong(X4,X0,X4,X2)
      | ~ cong(X4,X0,X4,X3) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f116,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X0,X1,X2,X3)
      | ~ cong(X4,X0,X4,X1)
      | ~ cong(X4,X0,X4,X2)
      | ~ cong(X4,X0,X4,X3) ),
    inference(flattening,[],[f115]) ).

fof(f119,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X1,X0,X2,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f16]) ).

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(f123,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f19]) ).

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(f148,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f39]) ).

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(f150,plain,
    ! [X0,X1,X2,X3] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f41]) ).

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] :
      ( ~ cyclic(X0,X6,X7,X9)
      & perp(X3,X2,X0,X1)
      & coll(X3,X0,X1)
      & perp(X5,X2,X0,X4)
      & coll(X5,X0,X4)
      & coll(X2,X3,X6)
      & cong(X2,X3,X2,X6)
      & coll(X2,X5,X7)
      & cong(X2,X5,X2,X7)
      & coll(X8,X2,X3)
      & coll(X8,X0,X4)
      & coll(X9,X0,X1)
      & coll(X9,X2,X5) ),
    inference(ennf_transformation,[],[f96]) ).

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

fof(f270,plain,
    ( ~ cyclic(sK20,sK26,sK27,sK29)
    & perp(sK23,sK22,sK20,sK21)
    & coll(sK23,sK20,sK21)
    & perp(sK25,sK22,sK20,sK24)
    & coll(sK25,sK20,sK24)
    & coll(sK22,sK23,sK26)
    & cong(sK22,sK23,sK22,sK26)
    & coll(sK22,sK25,sK27)
    & cong(sK22,sK25,sK22,sK27)
    & coll(sK28,sK22,sK23)
    & coll(sK28,sK20,sK24)
    & coll(sK29,sK20,sK21)
    & coll(sK29,sK22,sK25) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29]),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)],[f250]) ).

fof(f283,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cong(X4,X0,X4,X3)
      | ~ cong(X4,X0,X4,X1)
      | ~ cong(X4,X0,X4,X2)
      | cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f286,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X0,X2,X3) ),
    inference(cnf_transformation,[],[f119]) ).

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(f289,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(cnf_transformation,[],[f123]) ).

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(f309,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f148]) ).

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

fof(f311,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f150]) ).

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(f388,plain,
    cong(sK22,sK25,sK22,sK27),
    inference(cnf_transformation,[],[f270]) ).

fof(f396,plain,
    ~ cyclic(sK20,sK26,sK27,sK29),
    inference(cnf_transformation,[],[f270]) ).

fof(f523,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X2)
      | para(X2,X0,X2,X0) ),
    inference(resolution,[],[f311,f309]) ).

fof(f617,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
      | ~ para(X2,X3,X4,X5) ),
    inference(resolution,[],[f289,f310]) ).

fof(f875,plain,
    ! [X0,X1] :
      ( ~ cong(sK22,sK25,sK22,X1)
      | ~ cong(sK22,sK25,sK22,X0)
      | cyclic(sK25,X0,X1,sK27) ),
    inference(resolution,[],[f283,f388]) ).

fof(f1231,plain,
    ! [X0] :
      ( ~ cong(sK22,sK25,sK22,X0)
      | cyclic(sK25,X0,sK27,sK27) ),
    inference(resolution,[],[f875,f388]) ).

fof(f1589,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f617,f309]) ).

fof(f1593,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X4,X5,X4,X5,X0,X1,X2,X3)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f617,f291]) ).

fof(f5842,plain,
    cyclic(sK25,sK27,sK27,sK27),
    inference(resolution,[],[f1231,f388]) ).

fof(f8753,plain,
    cyclic(sK27,sK25,sK27,sK27),
    inference(resolution,[],[f5842,f286]) ).

fof(f9150,plain,
    para(sK27,sK27,sK27,sK27),
    inference(resolution,[],[f8753,f523]) ).

fof(f10811,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f1589,f9150]) ).

fof(f12377,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X2,X0)
      | ~ coll(X2,X0,X1) ),
    inference(resolution,[],[f1593,f313]) ).

fof(f12378,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X2,X0)
      | coll(X2,X0,X1) ),
    inference(resolution,[],[f1593,f312]) ).

fof(f12395,plain,
    ! [X2,X0,X1] :
      ( cyclic(X1,X1,X2,X0)
      | coll(X2,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f12378,f10811]) ).

fof(f12396,plain,
    ! [X2,X0,X1] :
      ( cyclic(X1,X1,X2,X0)
      | ~ coll(X2,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f12377,f10811]) ).

fof(f12397,plain,
    ! [X2,X0,X1] : cyclic(X1,X1,X2,X0),
    inference(forward_subsumption_resolution,[],[f12396,f12395]) ).

fof(f15216,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f12397,f287]) ).

fof(f15249,plain,
    ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f15216,f12397]) ).

fof(f16410,plain,
    $false,
    inference(resolution,[],[f15249,f396]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO624+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40  % Computer : n019.cluster.edu
% 0.10/0.40  % Model    : x86_64 x86_64
% 0.10/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40  % Memory   : 8046.5625MB
% 0.10/0.40  % OS       : Linux 6.8.0-71-generic
% 0.10/0.40  % CPULimit : 300
% 0.10/0.40  % WCLimit  : 300
% 0.10/0.40  % DateTime : Sun Sep 27 08:40:04 UTC 2026
% 0.10/0.40  % CPUTime  : 
% 0.10/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43  Running first-order model finding
% 0.10/0.43  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.66/1.77  % (2794204)Will run a generic schedule for satisfiability detection.
% 7.66/1.77  % (2794209)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3494332802_2999 on theBenchmark for (2999ds/0Mi)
% 7.66/1.77  % (2794210)% WARNING: option uhcvi not known.
% 7.66/1.77  % TRYING [1]
% 7.66/1.77  % TRYING [2]
% 7.66/1.77  % (2794210)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=843078297:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.66/1.77  % (2794211)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3041392211:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.66/1.77  % (2794214)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3304100832:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.66/1.77  % (2794212)dis+10_1_sil=32000:sp=arity:random_seed=2630781320:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.66/1.77  % (2794213)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=516567088:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.66/1.77  % (2794215)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1238690802:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.66/1.77  % TRYING [3]
% 7.66/1.77  % (2794212)Instruction limit reached! 
% 7.66/1.77  % (2794212)------------------------------
% 7.66/1.77  % (2794212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.66/1.77  % (2794212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.77  % (2794212)CaDiCaL version: 2.1.3
% 7.66/1.77  % (2794212)Termination reason: Instruction limit
% 7.66/1.77  % (2794212)Termination phase: Saturation
% 7.66/1.77  % (2794212)Time elapsed: 0.067 s
% 7.66/1.77  % (2794212)Peak memory usage: 12 MB
% 7.66/1.77  % (2794212)Instructions burned: 103 (million)
% 7.66/1.77  % (2794213)Instruction limit reached! 
% 7.66/1.77  % (2794213)------------------------------
% 7.66/1.77  % (2794213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.66/1.77  % (2794213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.77  % (2794213)CaDiCaL version: 2.1.3
% 7.66/1.77  % (2794213)Termination reason: Instruction limit
% 7.66/1.77  % (2794213)Termination phase: Saturation
% 7.66/1.77  % (2794213)Time elapsed: 0.068 s
% 7.66/1.77  % (2794213)Peak memory usage: 13 MB
% 7.66/1.77  % (2794213)Instructions burned: 117 (million)
% 7.66/1.77  % (2794214)Instruction limit reached! 
% 7.66/1.77  % (2794214)------------------------------
% 7.66/1.77  % (2794214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.66/1.77  % (2794214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.77  % (2794214)CaDiCaL version: 2.1.3
% 7.66/1.77  % (2794214)Termination reason: Instruction limit
% 7.66/1.77  % (2794214)Termination phase: Saturation
% 7.66/1.77  % (2794214)Time elapsed: 0.081 s
% 7.66/1.77  % (2794214)Peak memory usage: 14 MB
% 7.66/1.77  % (2794214)Instructions burned: 131 (million)
% 7.66/1.77  % (2794223)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3583082971:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.66/1.77  % (2794224)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4252916099:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.66/1.77  % (2794215)Instruction limit reached! 
% 7.66/1.77  % (2794215)------------------------------
% 7.66/1.77  % (2794215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.66/1.77  % (2794215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.77  % (2794215)CaDiCaL version: 2.1.3
% 7.66/1.77  % (2794215)Termination reason: Instruction limit
% 7.66/1.77  % (2794215)Termination phase: Saturation
% 7.66/1.77  % (2794215)Time elapsed: 0.096 s
% 7.66/1.77  % (2794215)Peak memory usage: 15 MB
% 7.66/1.77  % (2794215)Instructions burned: 160 (million)
% 7.66/1.77  % TRYING [1]
% 7.66/1.77  % (2794225)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=1017501711:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.66/1.77  % TRYING [2]
% 7.66/1.77  % (2794228)ott-21_1_sil=16000:fs=off:random_seed=3504861557:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.66/1.77  % TRYING [3]
% 7.66/1.77  % (2794224)Instruction limit reached! 
% 7.66/1.77  % (2794224)------------------------------
% 7.66/1.77  % (2794224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.66/1.77  % (2794224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.11  % (2794224)CaDiCaL version: 2.1.3
% 18.35/3.11  % (2794224)Termination reason: Instruction limit
% 18.35/3.11  % (2794224)Termination phase: Saturation
% 18.35/3.11  % (2794224)Time elapsed: 0.079 s
% 18.35/3.11  % (2794224)Peak memory usage: 14 MB
% 18.35/3.11  % (2794224)Instructions burned: 132 (million)
% 18.35/3.11  % (2794231)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2617532456:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 18.35/3.11  % (2794228)Instruction limit reached! 
% 18.35/3.11  % (2794228)------------------------------
% 18.35/3.11  % (2794228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.35/3.11  % (2794228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.11  % (2794228)CaDiCaL version: 2.1.3
% 18.35/3.11  % (2794228)Termination reason: Instruction limit
% 18.35/3.11  % (2794228)Termination phase: Saturation
% 18.35/3.11  % (2794228)Time elapsed: 0.093 s
% 18.35/3.11  % (2794228)Peak memory usage: 13 MB
% 18.35/3.11  % (2794228)Instructions burned: 182 (million)
% 18.35/3.11  % (2794233)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3672486491:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 18.35/3.11  % TRYING [1]
% 18.35/3.11  % TRYING [2]
% 18.35/3.11  % TRYING [3]
% 18.35/3.11  % (2794223)Instruction limit reached! 
% 18.35/3.11  % (2794223)------------------------------
% 18.35/3.11  % (2794223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.35/3.11  % (2794223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.11  % (2794223)CaDiCaL version: 2.1.3
% 18.35/3.11  % (2794223)Termination reason: Instruction limit
% 18.35/3.11  % (2794223)Termination phase: Finite model building constraint generation
% 18.35/3.11  % (2794223)Time elapsed: 0.248 s
% 18.35/3.11  % (2794223)Peak memory usage: 24 MB
% 18.35/3.11  % (2794223)Instructions burned: 715 (million)
% 18.35/3.11  % (2794235)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1791762794:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 18.35/3.11  % (2794225)Instruction limit reached! 
% 18.35/3.11  % (2794225)------------------------------
% 18.35/3.11  % (2794225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.35/3.11  % (2794225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.11  % (2794225)CaDiCaL version: 2.1.3
% 18.35/3.11  % (2794225)Termination reason: Instruction limit
% 18.35/3.11  % (2794225)Termination phase: Saturation
% 18.35/3.11  % (2794225)Time elapsed: 0.394 s
% 18.35/3.11  % (2794225)Peak memory usage: 18 MB
% 18.35/3.11  % (2794225)Instructions burned: 685 (million)
% 18.35/3.11  % (2794231)Instruction limit reached! 
% 18.35/3.11  % (2794231)------------------------------
% 18.35/3.11  % (2794231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.35/3.11  % (2794231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.11  % (2794231)CaDiCaL version: 2.1.3
% 18.35/3.11  % (2794231)Termination reason: Instruction limit
% 18.35/3.11  % (2794231)Termination phase: Saturation
% 18.35/3.11  % (2794231)Time elapsed: 0.308 s
% 18.35/3.11  % (2794231)Peak memory usage: 15 MB
% 18.35/3.11  % (2794231)Instructions burned: 477 (million)
% 18.35/3.11  % (2794237)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=589334633:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 18.35/3.11  % (2794238)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=1212829663: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)
% 18.35/3.11  % (2794237)Cannot represent all propositional literals internally
% 18.35/3.11  % (2794237)Refutation not found, incomplete strategy
% 18.35/3.11  % (2794237)------------------------------
% 18.35/3.11  % (2794237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.35/3.11  % (2794237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.11  % (2794237)CaDiCaL version: 2.1.3
% 18.35/3.11  % (2794237)Termination reason: Refutation not found, incomplete strategy
% 18.35/3.11  % (2794237)Time elapsed: 0.006 s
% 18.35/3.11  % (2794237)Peak memory usage: 10 MB
% 18.35/3.11  % (2794237)Instructions burned: 13 (million)
% 18.35/3.11  % (2794237)------------------------------
% 18.35/3.11  % (2794237)------------------------------
% 18.35/3.11  % (2794233)Instruction limit reached! 
% 18.35/3.11  % (2794233)------------------------------
% 18.35/3.11  % (2794233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.35/3.11  % (2794233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.11  % (2794233)CaDiCaL version: 2.1.3
% 18.35/3.11  % (2794233)Termination reason: Instruction limit
% 18.35/3.11  % (2794233)Termination phase: Finite model building constraint generation
% 18.35/3.11  % (2794233)Time elapsed: 0.300 s
% 18.35/3.11  % (2794233)Peak memory usage: 51 MB
% 18.35/3.11  % (2794233)Instructions burned: 866 (million)
% 18.35/3.11  % (2794241)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3120082970:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 18.35/3.11  % (2794242)fmb+10_1_sil=64000:random_seed=3280097340:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 18.35/3.11  % TRYING [1]
% 18.35/3.11  % TRYING [2]
% 18.35/3.11  % TRYING [3]
% 18.35/3.11  % (2794238)Instruction limit reached! 
% 18.35/3.11  % (2794238)------------------------------
% 18.35/3.11  % (2794238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.35/3.11  % (2794238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.11  % (2794238)CaDiCaL version: 2.1.3
% 18.35/3.11  % (2794238)Termination reason: Instruction limit
% 18.35/3.11  % (2794238)Termination phase: Saturation
% 18.35/3.11  % (2794238)Time elapsed: 0.424 s
% 18.35/3.11  % (2794238)Peak memory usage: 23 MB
% 18.35/3.11  % (2794238)Instructions burned: 692 (million)
% 18.35/3.11  % (2794245)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3334711201:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 18.35/3.11  % (2794245)Cannot represent all propositional literals internally
% 18.35/3.11  % (2794245)Refutation not found, incomplete strategy
% 18.35/3.11  % (2794245)------------------------------
% 18.35/3.11  % (2794245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.35/3.11  % (2794245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.11  % (2794245)CaDiCaL version: 2.1.3
% 18.35/3.11  % (2794245)Termination reason: Refutation not found, incomplete strategy
% 18.35/3.11  % (2794245)Time elapsed: 0.006 s
% 18.35/3.11  % (2794245)Peak memory usage: 10 MB
% 18.35/3.11  % (2794245)Instructions burned: 13 (million)
% 18.35/3.11  % (2794245)------------------------------
% 18.35/3.11  % (2794245)------------------------------
% 18.35/3.11  % (2794247)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=846752908:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 18.35/3.11  % TRYING [8]
% 18.35/3.11  % (2794241)Instruction limit reached! 
% 18.35/3.11  % (2794241)------------------------------
% 18.35/3.11  % (2794241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.35/3.11  % (2794241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.11  % (2794241)CaDiCaL version: 2.1.3
% 18.35/3.11  % (2794241)Termination reason: Instruction limit
% 18.35/3.11  % (2794241)Termination phase: Saturation
% 18.35/3.11  % (2794241)Time elapsed: 0.477 s
% 18.35/3.11  % (2794241)Peak memory usage: 18 MB
% 18.35/3.11  % (2794241)Instructions burned: 879 (million)
% 18.35/3.11  % (2794249)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3049619362:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 18.35/3.11  % (2794235)Instruction limit reached! 
% 18.35/3.11  % (2794235)------------------------------
% 18.35/3.11  % (2794235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.35/3.11  % (2794235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.11  % (2794235)CaDiCaL version: 2.1.3
% 18.35/3.11  % (2794235)Termination reason: Instruction limit
% 18.35/3.11  % (2794235)Termination phase: Saturation
% 18.35/3.11  % (2794235)Time elapsed: 0.741 s
% 18.35/3.11  % (2794235)Peak memory usage: 23 MB
% 18.35/3.11  % (2794235)Instructions burned: 1180 (million)
% 18.35/3.11  % (2794251)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2836733087:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 18.35/3.11  % (2794247)Instruction limit reached! 
% 18.35/3.11  % (2794247)------------------------------
% 18.35/3.11  % (2794247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.35/3.11  % (2794247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.11  % (2794247)CaDiCaL version: 2.1.3
% 18.35/3.11  % (2794247)Termination reason: Instruction limit
% 18.35/3.11  % (2794247)Termination phase: Finite model building constraint generation
% 18.35/3.11  % (2794247)Time elapsed: 0.282 s
% 18.35/3.11  % (2794247)Peak memory usage: 45 MB
% 18.35/3.11  % (2794247)Instructions burned: 920 (million)
% 18.35/3.11  % (2794253)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3428309693:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 18.35/3.11  % (2794253)Cannot represent all propositional literals internally
% 18.35/3.11  % (2794253)Refutation not found, incomplete strategy
% 18.35/3.11  % (2794253)------------------------------
% 18.35/3.11  % (2794253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.35/3.11  % (2794253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.11  % (2794253)CaDiCaL version: 2.1.3
% 18.35/3.11  % (2794253)Termination reason: Refutation not found, incomplete strategy
% 18.35/3.11  % (2794253)Time elapsed: 0.008 s
% 18.35/3.11  % (2794253)Peak memory usage: 11 MB
% 18.35/3.11  % (2794253)Instructions burned: 16 (million)
% 18.35/3.11  % (2794253)------------------------------
% 18.35/3.11  % (2794253)------------------------------
% 18.35/3.11  % (2794255)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3221014834:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 18.35/3.11  % (2794255)Cannot represent all propositional literals internally
% 18.35/3.11  % (2794255)Refutation not found, incomplete strategy
% 18.35/3.11  % (2794255)------------------------------
% 18.35/3.11  % (2794255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.35/3.11  % (2794255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.11  % (2794255)CaDiCaL version: 2.1.3
% 18.35/3.11  % (2794255)Termination reason: Refutation not found, incomplete strategy
% 18.35/3.11  % (2794255)Time elapsed: 0.083 s
% 18.35/3.11  % (2794255)Peak memory usage: 12 MB
% 18.35/3.11  % (2794255)Instructions burned: 166 (million)
% 18.35/3.11  % (2794255)------------------------------
% 18.35/3.11  % (2794255)------------------------------
% 18.35/3.11  % (2794257)ott-2_1_sil=16000:newcnf=on:random_seed=1834373559:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 18.35/3.11  % TRYING [4]
% 18.35/3.11  % (2794257)Instruction limit reached! 
% 18.35/3.11  % (2794257)------------------------------
% 18.35/3.11  % (2794257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.35/3.11  % (2794257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.11  % (2794257)CaDiCaL version: 2.1.3
% 18.35/3.11  % (2794257)Termination reason: Instruction limit
% 18.35/3.11  % (2794257)Termination phase: Saturation
% 18.35/3.11  % (2794257)Time elapsed: 0.533 s
% 18.35/3.11  % (2794257)Peak memory usage: 16 MB
% 18.35/3.11  % (2794257)Instructions burned: 870 (million)
% 18.35/3.11  % (2794259)ott+10_1_sil=32000:tgt=ground:random_seed=3584203525:i=5114:av=off_2980 on theBenchmark for (2980ds/5114Mi)
% 18.35/3.11  % (2794251)Instruction limit reached! 
% 18.35/3.11  % (2794251)------------------------------
% 18.35/3.11  % (2794251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.35/3.11  % (2794251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.11  % (2794251)CaDiCaL version: 2.1.3
% 18.35/3.11  % (2794251)Termination reason: Instruction limit
% 18.35/3.11  % (2794251)Termination phase: Saturation
% 18.35/3.11  % (2794251)Time elapsed: 0.927 s
% 18.35/3.11  % (2794251)Peak memory usage: 32 MB
% 18.35/3.11  % (2794251)Instructions burned: 1472 (million)
% 18.35/3.11  % (2794261)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1209408683:i=54282_2979 on theBenchmark for (2979ds/54282Mi)
% 18.35/3.11  % TRYING [1]
% 18.35/3.11  % TRYING [2]
% 18.35/3.11  % TRYING [3]
% 18.35/3.11  % (2794259) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2794204-2794259"...
% 18.35/3.11  % (2794259)...printing done.
% 18.35/3.11  % (2794259)Refutation found. Thanks to Tanya!
% 18.35/3.11  % SZS status Theorem for theBenchmark
% 18.35/3.11  % SZS output start Proof for theBenchmark
% See solution above
% 18.35/3.11  % (2794259)------------------------------
% 18.35/3.11  % (2794259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.35/3.11  % (2794259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.35/3.11  % (2794259)CaDiCaL version: 2.1.3
% 18.35/3.11  % (2794259)Termination reason: Refutation
% 18.35/3.11  % (2794259)Time elapsed: 0.618 s
% 18.35/3.11  % (2794259)Peak memory usage: 25 MB
% 18.35/3.11  % (2794259)Instructions burned: 974 (million)
% 18.35/3.11  % (2794204)Success in time 2.669 s
% 18.35/3.11  % Vampire exiting
%------------------------------------------------------------------------------