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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO626+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 : n011.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 2.38s 0.94s
% Output   : Refutation 2.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   82 (  19 unt;   0 def)
%            Number of atoms       :  219 (   0 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  216 (  79   ~;  75   |;  46   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :  324 ( 300   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( coll(X0,X1,X2)
        & coll(X0,X1,X3) )
     => coll(X2,X3,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

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(f14,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).

fof(f15,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

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(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(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(f44,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( cyclic(X0,X1,X2,X3)
        & cyclic(X0,X1,X2,X4)
        & cyclic(X0,X1,X2,X5)
        & eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
     => cong(X0,X1,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

fof(f57,axiom,
    ! [X0,X1,X2,X3] :
      ( ( cong(X0,X2,X1,X2)
        & cong(X0,X3,X1,X3) )
     => perp(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( circle(X3,X0,X1,X2)
        & circle(X3,X0,X4,X9)
        & perp(X5,X4,X0,X1)
        & coll(X5,X0,X1)
        & perp(X6,X4,X0,X2)
        & coll(X6,X0,X2)
        & circle(X3,X4,X7,X10)
        & coll(X7,X4,X5)
        & circle(X3,X4,X8,X11)
        & coll(X8,X4,X6) )
     => para(X7,X2,X8,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110990) ).

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

fof(f99,plain,
    ! [X0,X1,X2] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f100,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X2)
      | ~ coll(X0,X1,X3) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f101,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X2)
      | ~ coll(X0,X1,X3) ),
    inference(flattening,[],[f100]) ).

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(f117,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X3,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f118,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X2,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f15]) ).

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(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(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(f155,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f156,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
    inference(flattening,[],[f155]) ).

fof(f180,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f181,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3) ),
    inference(flattening,[],[f180]) ).

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

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

fof(f252,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X1,X0,X2) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f253,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2)
      | coll(X2,X3,X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f258,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f259,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5)
      | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f264,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f265,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f266,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X0,X2,X3) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f267,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(f269,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(f290,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(f291,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f293,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f294,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cong(X0,X1,X3,X4) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f307,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3)
      | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f366,plain,
    coll(sK27,sK24,sK25),
    inference(cnf_transformation,[],[f250]) ).

fof(f371,plain,
    perp(sK25,sK24,sK20,sK21),
    inference(cnf_transformation,[],[f250]) ).

fof(f374,plain,
    ~ para(sK27,sK22,sK28,sK21),
    inference(cnf_transformation,[],[f250]) ).

fof(f390,plain,
    coll(sK24,sK27,sK25),
    inference(resolution,[],[f252,f366]) ).

fof(f452,plain,
    perp(sK20,sK21,sK25,sK24),
    inference(resolution,[],[f258,f371]) ).

fof(f485,plain,
    ! [X0] :
      ( ~ coll(sK24,sK27,X0)
      | coll(X0,sK25,sK24) ),
    inference(resolution,[],[f253,f390]) ).

fof(f876,plain,
    coll(sK25,sK25,sK24),
    inference(resolution,[],[f485,f390]) ).

fof(f924,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X2,X3,X4,X5)
      | eqangle(X0,X1,X2,X3,X0,X1,X4,X5) ),
    inference(resolution,[],[f269,f290]) ).

fof(f1872,plain,
    ! [X0,X1] :
      ( ~ perp(sK20,sK21,X0,X1)
      | para(sK25,sK24,X0,X1) ),
    inference(resolution,[],[f259,f371]) ).

fof(f9226,plain,
    para(sK25,sK24,sK25,sK24),
    inference(resolution,[],[f1872,f452]) ).

fof(f11384,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X1)
      | ~ cyclic(X0,X1,X2,X0)
      | cong(X0,X1,X0,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f294,f291]) ).

fof(f11446,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X1)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X0)
      | cong(X0,X1,X0,X1) ),
    inference(duplicate_literal_removal,[],[f11384]) ).

fof(f13860,plain,
    ! [X0,X1] : eqangle(X0,X1,sK25,sK24,X0,X1,sK25,sK24),
    inference(resolution,[],[f924,f9226]) ).

fof(f13884,plain,
    ! [X0] :
      ( ~ coll(sK25,sK25,sK24)
      | cyclic(X0,sK24,sK25,sK25) ),
    inference(resolution,[],[f13860,f293]) ).

fof(f13888,plain,
    ! [X0] : cyclic(X0,sK24,sK25,sK25),
    inference(forward_subsumption_resolution,[],[f13884,f876]) ).

fof(f16019,plain,
    ! [X0] : cyclic(sK24,X0,sK25,sK25),
    inference(resolution,[],[f13888,f266]) ).

fof(f16120,plain,
    ! [X0] : cyclic(sK24,sK25,X0,sK25),
    inference(resolution,[],[f16019,f265]) ).

fof(f17392,plain,
    ! [X0] : cyclic(sK24,sK25,sK25,X0),
    inference(resolution,[],[f16120,f264]) ).

fof(f17476,plain,
    ! [X0,X1] :
      ( ~ cyclic(sK24,sK25,sK25,X0)
      | cyclic(sK25,sK25,X0,X1) ),
    inference(resolution,[],[f17392,f267]) ).

fof(f17498,plain,
    ! [X0,X1] : cyclic(sK25,sK25,X0,X1),
    inference(forward_subsumption_resolution,[],[f17476,f17392]) ).

fof(f17562,plain,
    ! [X0,X1] : cyclic(sK25,X0,sK25,X1),
    inference(resolution,[],[f17498,f265]) ).

fof(f17876,plain,
    ! [X0,X1] :
      ( ~ cyclic(sK25,X0,sK25,X1)
      | ~ cyclic(sK25,X0,sK25,sK25)
      | cong(sK25,X0,sK25,X0) ),
    inference(resolution,[],[f17562,f11446]) ).

fof(f17892,plain,
    ! [X0,X1] :
      ( ~ cyclic(sK25,X0,sK25,X1)
      | cong(sK25,X0,sK25,X0) ),
    inference(forward_subsumption_resolution,[],[f17876,f17562]) ).

fof(f17894,plain,
    ! [X0] : cong(sK25,X0,sK25,X0),
    inference(forward_subsumption_resolution,[],[f17892,f17562]) ).

fof(f18236,plain,
    ! [X0,X1] :
      ( ~ cong(sK25,X0,sK25,X0)
      | perp(sK25,sK25,X1,X0) ),
    inference(resolution,[],[f17894,f307]) ).

fof(f18287,plain,
    ! [X0,X1] : perp(sK25,sK25,X1,X0),
    inference(forward_subsumption_resolution,[],[f18236,f17894]) ).

fof(f19332,plain,
    ! [X0,X1] : perp(X0,X1,sK25,sK25),
    inference(resolution,[],[f18287,f258]) ).

fof(f19691,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(sK25,sK25,X0,X1)
      | para(X2,X3,X0,X1) ),
    inference(resolution,[],[f19332,f259]) ).

fof(f19728,plain,
    ! [X2,X3,X0,X1] : para(X2,X3,X0,X1),
    inference(forward_subsumption_resolution,[],[f19691,f18287]) ).

fof(f20229,plain,
    $false,
    inference(resolution,[],[f19728,f374]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO626+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37  % Computer : n011.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 08:40:15 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41  Running first-order model finding
% 0.14/0.41  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
% 2.38/0.94  % (2101420)Will run a generic schedule for satisfiability detection.
% 2.38/0.94  % (2101425)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2962750588_2999 on theBenchmark for (2999ds/0Mi)
% 2.38/0.94  % TRYING [1]
% 2.38/0.94  % TRYING [2]
% 2.38/0.94  % (2101427)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2608852751:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.38/0.94  % (2101428)dis+10_1_sil=32000:sp=arity:random_seed=869718285:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.38/0.94  % (2101429)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2117205265:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.38/0.94  % (2101430)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2728476993:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.38/0.94  % (2101431)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1535585990:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.38/0.94  % (2101426)% WARNING: option uhcvi not known.
% 2.38/0.94  % (2101426)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3893685233:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.38/0.94  % TRYING [3]
% 2.38/0.94  % (2101428)Instruction limit reached! 
% 2.38/0.94  % (2101428)------------------------------
% 2.38/0.94  % (2101428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.94  % (2101428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.94  % (2101428)CaDiCaL version: 2.1.3
% 2.38/0.94  % (2101428)Termination reason: Instruction limit
% 2.38/0.94  % (2101428)Termination phase: Saturation
% 2.38/0.94  % (2101428)Time elapsed: 0.068 s
% 2.38/0.94  % (2101428)Peak memory usage: 13 MB
% 2.38/0.94  % (2101428)Instructions burned: 103 (million)
% 2.38/0.94  % (2101429)Instruction limit reached! 
% 2.38/0.94  % (2101429)------------------------------
% 2.38/0.94  % (2101429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.94  % (2101429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.94  % (2101429)CaDiCaL version: 2.1.3
% 2.38/0.94  % (2101429)Termination reason: Instruction limit
% 2.38/0.94  % (2101429)Termination phase: Saturation
% 2.38/0.94  % (2101429)Time elapsed: 0.070 s
% 2.38/0.94  % (2101429)Peak memory usage: 13 MB
% 2.38/0.94  % (2101429)Instructions burned: 116 (million)
% 2.38/0.94  % (2101430)Instruction limit reached! 
% 2.38/0.94  % (2101430)------------------------------
% 2.38/0.94  % (2101430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.94  % (2101430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.94  % (2101430)CaDiCaL version: 2.1.3
% 2.38/0.94  % (2101430)Termination reason: Instruction limit
% 2.38/0.94  % (2101430)Termination phase: Saturation
% 2.38/0.94  % (2101430)Time elapsed: 0.085 s
% 2.38/0.94  % (2101430)Peak memory usage: 14 MB
% 2.38/0.94  % (2101430)Instructions burned: 132 (million)
% 2.38/0.94  % (2101439)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1479690183:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.38/0.94  % (2101440)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1158515709:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.38/0.94  % (2101431)Instruction limit reached! 
% 2.38/0.94  % (2101431)------------------------------
% 2.38/0.94  % (2101431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.94  % (2101431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.94  % (2101431)CaDiCaL version: 2.1.3
% 2.38/0.94  % (2101431)Termination reason: Instruction limit
% 2.38/0.94  % (2101431)Termination phase: Saturation
% 2.38/0.94  % (2101431)Time elapsed: 0.093 s
% 2.38/0.94  % (2101431)Peak memory usage: 14 MB
% 2.38/0.94  % (2101431)Instructions burned: 159 (million)
% 2.38/0.94  % TRYING [1]
% 2.38/0.94  % TRYING [2]
% 2.38/0.94  % (2101441)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=323413030:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.38/0.94  % (2101444)ott-21_1_sil=16000:fs=off:random_seed=4220402657:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.38/0.94  % TRYING [3]
% 2.38/0.94  % (2101440)Instruction limit reached! 
% 2.38/0.94  % (2101440)------------------------------
% 2.38/0.94  % (2101440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.94  % (2101440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.94  % (2101440)CaDiCaL version: 2.1.3
% 2.38/0.94  % (2101440)Termination reason: Instruction limit
% 2.38/0.94  % (2101440)Termination phase: Saturation
% 2.38/0.94  % (2101440)Time elapsed: 0.085 s
% 2.38/0.94  % (2101440)Peak memory usage: 14 MB
% 2.38/0.94  % (2101440)Instructions burned: 132 (million)
% 2.38/0.94  % (2101447)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=687179857:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.38/0.94  % (2101444)Instruction limit reached! 
% 2.38/0.94  % (2101444)------------------------------
% 2.38/0.94  % (2101444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.94  % (2101444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.94  % (2101444)CaDiCaL version: 2.1.3
% 2.38/0.94  % (2101444)Termination reason: Instruction limit
% 2.38/0.94  % (2101444)Termination phase: Saturation
% 2.38/0.94  % (2101444)Time elapsed: 0.096 s
% 2.38/0.94  % (2101444)Peak memory usage: 13 MB
% 2.38/0.94  % (2101444)Instructions burned: 181 (million)
% 2.38/0.94  % (2101449)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=916916531:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.38/0.94  % TRYING [1]
% 2.38/0.94  % TRYING [2]
% 2.38/0.94  % TRYING [3]
% 2.38/0.94  % (2101439)Instruction limit reached! 
% 2.38/0.94  % (2101439)------------------------------
% 2.38/0.94  % (2101439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.94  % (2101439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.94  % (2101439)CaDiCaL version: 2.1.3
% 2.38/0.94  % (2101439)Termination reason: Instruction limit
% 2.38/0.94  % (2101439)Termination phase: Finite model building constraint generation
% 2.38/0.94  % (2101439)Time elapsed: 0.250 s
% 2.38/0.94  % (2101439)Peak memory usage: 24 MB
% 2.38/0.94  % (2101439)Instructions burned: 716 (million)
% 2.38/0.94  % (2101451)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3832259860:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 2.38/0.94  % (2101441) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2101420-2101441"...
% 2.38/0.94  % (2101441)...printing done.
% 2.38/0.94  % (2101441)Refutation found. Thanks to Tanya!
% 2.38/0.94  % SZS status Theorem for theBenchmark
% 2.38/0.94  % SZS output start Proof for theBenchmark
% See solution above
% 2.38/0.94  % (2101441)------------------------------
% 2.38/0.94  % (2101441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.94  % (2101441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.94  % (2101441)CaDiCaL version: 2.1.3
% 2.38/0.94  % (2101441)Termination reason: Refutation
% 2.38/0.94  % (2101441)Time elapsed: 0.351 s
% 2.38/0.94  % (2101441)Peak memory usage: 17 MB
% 2.38/0.94  % (2101441)Instructions burned: 595 (million)
% 2.38/0.94  % (2101420)Success in time 0.519 s
% 2.38/0.94  % Vampire exiting
%------------------------------------------------------------------------------