↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO632+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 09:53:07 AM UTC 2026

% Result   : Theorem 6.50s 1.94s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  104 (   8 unt;   2 def)
%            Number of atoms       :  291 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  314 ( 127   ~; 121   |;  47   &)
%                                         (   2 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   3 prp; 0-8 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-4 aty)
%            Number of variables   :  479 (   0 sgn 457   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD5) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',ruleD21) ).

fof(f22,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
        & eqangle(X4,X5,X6,X7,X8,X9,X10,X11) )
     => eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD22) ).

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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',ruleD56) ).

fof(f87,axiom,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( circle(X3,X0,X1,X2)
     => perp(X4,X0,X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX11) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( midp(X3,X2,X1)
        & eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
        & coll(X4,X1,X2)
        & circle(X5,X0,X1,X2)
        & circle(X5,X0,X6,X8)
        & coll(X6,X0,X3)
        & circle(X5,X0,X7,X9)
        & coll(X7,X0,X4) )
     => para(X1,X2,X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110995) ).

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

fof(f103,plain,
    ! [X0,X1,X2,X3] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f5]) ).

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(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(f126,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f127,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
    inference(flattening,[],[f126]) ).

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(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(f234,plain,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( perp(X4,X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f87]) ).

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

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

fof(f262,plain,
    ! [X0,X1,X2,X3] :
      ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X4,sK11(X0,X1,X2,X3))],[f234]) ).

fof(f270,plain,
    ( ~ para(sK21,sK22,sK26,sK27)
    & midp(sK23,sK22,sK21)
    & eqangle(sK24,sK20,sK20,sK21,sK22,sK20,sK20,sK23)
    & coll(sK24,sK21,sK22)
    & circle(sK25,sK20,sK21,sK22)
    & circle(sK25,sK20,sK26,sK28)
    & coll(sK26,sK20,sK23)
    & circle(sK25,sK20,sK27,sK29)
    & coll(sK27,sK20,sK24) ),
    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(f275,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

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(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(f292,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
    inference(cnf_transformation,[],[f127]) ).

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(f314,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | cong(X0,X1,X3,X4) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f327,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f370,plain,
    ! [X2,X3,X0,X1] :
      ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f262]) ).

fof(f388,plain,
    circle(sK25,sK20,sK21,sK22),
    inference(cnf_transformation,[],[f270]) ).

fof(f392,plain,
    ~ para(sK21,sK22,sK26,sK27),
    inference(cnf_transformation,[],[f270]) ).

fof(f393,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X0)
      | ~ cyclic(X0,X1,X2,X1)
      | ~ cyclic(X0,X1,X2,X3)
      | cong(X0,X1,X0,X1) ),
    inference(resolution,[],[f311,f314]) ).

fof(f394,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X0)
      | ~ cyclic(X0,X1,X2,X1)
      | cong(X0,X1,X0,X1) ),
    inference(duplicate_literal_removal,[],[f393]) ).

fof(f401,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(f405,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f291,f310]) ).

fof(f406,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X4,X5,sK11(X1,X2,X3,X0),X1)
      | ~ circle(X0,X1,X2,X3)
      | para(X4,X5,X1,X0) ),
    inference(resolution,[],[f370,f279]) ).

fof(f427,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f401,f309]) ).

fof(f433,definition,
    ( spl30_1
  <=> ! [X2,X3] : para(X2,X3,X2,X3) ),
    introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).

fof(f434,plain,
    ( ! [X2,X3] : para(X2,X3,X2,X3)
    | ~ spl30_1 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f436,definition,
    ( spl30_2
  <=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
    introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).

fof(f437,plain,
    ( ! [X0,X1] : ~ para(X0,X1,X0,X1)
    | ~ spl30_2 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f438,plain,
    ( spl30_1
    | spl30_2 ),
    inference(avatar_split_clause,[],[f427,f436,f433]) ).

fof(f448,plain,
    ! [X2,X0,X1] :
      ( cyclic(X0,X0,X1,X2)
      | ~ coll(X1,X2,X0)
      | ~ para(X1,X0,X1,X0) ),
    inference(resolution,[],[f313,f405]) ).

fof(f454,plain,
    ! [X2,X0,X1] :
      ( cyclic(X0,X0,X1,X2)
      | coll(X1,X2,X0)
      | ~ para(X1,X0,X1,X0) ),
    inference(resolution,[],[f312,f405]) ).

fof(f459,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X2,X3,X8,X9,X6,X7)
      | ~ para(X4,X5,X8,X9) ),
    inference(resolution,[],[f292,f310]) ).

fof(f466,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ para(X6,X7,X4,X5)
      | eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
      | ~ para(X0,X1,X6,X7) ),
    inference(resolution,[],[f459,f310]) ).

fof(f474,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X0,X1,sK11(X0,X2,X3,X1),X0)
      | ~ circle(X1,X0,X2,X3) ),
    inference(resolution,[],[f278,f370]) ).

fof(f476,plain,
    ! [X2,X3,X0,X1] :
      ( ~ circle(X0,X1,X2,X3)
      | ~ circle(X0,X1,X2,X3)
      | para(X1,X0,X1,X0) ),
    inference(resolution,[],[f474,f406]) ).

fof(f480,plain,
    ! [X2,X3,X0,X1] :
      ( ~ circle(X0,X1,X2,X3)
      | para(X1,X0,X1,X0) ),
    inference(duplicate_literal_removal,[],[f476]) ).

fof(f481,plain,
    ( ! [X2,X3,X0,X1] : ~ circle(X0,X1,X2,X3)
    | ~ spl30_2 ),
    inference(forward_subsumption_resolution,[],[f480,f437]) ).

fof(f482,plain,
    ( $false
    | ~ spl30_2 ),
    inference(resolution,[],[f481,f388]) ).

fof(f487,plain,
    ~ spl30_2,
    inference(avatar_contradiction_clause,[],[f482]) ).

fof(f489,plain,
    ( ! [X2,X0,X1] :
        ( cyclic(X0,X0,X1,X2)
        | ~ coll(X1,X2,X0) )
    | ~ spl30_1 ),
    inference(forward_subsumption_resolution,[],[f448,f434]) ).

fof(f493,plain,
    ( ! [X2,X0,X1] :
        ( cyclic(X0,X0,X1,X2)
        | coll(X1,X2,X0) )
    | ~ spl30_1 ),
    inference(forward_subsumption_resolution,[],[f454,f434]) ).

fof(f496,plain,
    ( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
    | ~ spl30_1 ),
    inference(forward_subsumption_resolution,[],[f493,f489]) ).

fof(f504,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cyclic(X0,X0,X1,X2)
        | cyclic(X0,X1,X2,X3) )
    | ~ spl30_1 ),
    inference(resolution,[],[f496,f287]) ).

fof(f510,plain,
    ( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
    | ~ spl30_1 ),
    inference(forward_subsumption_resolution,[],[f504,f496]) ).

fof(f516,plain,
    ( ! [X2,X0,X1] :
        ( ~ cyclic(X0,X1,X2,X0)
        | ~ cyclic(X0,X1,X2,X1)
        | cong(X0,X1,X0,X1) )
    | ~ spl30_1 ),
    inference(resolution,[],[f510,f394]) ).

fof(f519,plain,
    ( ! [X2,X0,X1] :
        ( ~ cyclic(X0,X1,X2,X0)
        | cong(X0,X1,X0,X1) )
    | ~ spl30_1 ),
    inference(forward_subsumption_resolution,[],[f516,f510]) ).

fof(f521,plain,
    ( ! [X0,X1] : cong(X0,X1,X0,X1)
    | ~ spl30_1 ),
    inference(forward_subsumption_resolution,[],[f519,f510]) ).

fof(f522,plain,
    ( ! [X2,X0,X1] :
        ( ~ cong(X0,X1,X0,X1)
        | perp(X0,X0,X1,X2) )
    | ~ spl30_1 ),
    inference(resolution,[],[f521,f327]) ).

fof(f523,plain,
    ( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
    | ~ spl30_1 ),
    inference(forward_subsumption_resolution,[],[f522,f521]) ).

fof(f526,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ perp(X0,X1,X2,X2)
        | para(X0,X1,X3,X4) )
    | ~ spl30_1 ),
    inference(resolution,[],[f523,f279]) ).

fof(f530,plain,
    ( ! [X2,X0,X1] : para(X0,X0,X1,X2)
    | ~ spl30_1 ),
    inference(resolution,[],[f526,f523]) ).

fof(f531,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] :
        ( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
        | ~ para(X0,X1,X6,X6) )
    | ~ spl30_1 ),
    inference(resolution,[],[f530,f466]) ).

fof(f532,plain,
    ( ! [X2,X0,X1] : para(X0,X1,X2,X2)
    | ~ spl30_1 ),
    inference(resolution,[],[f530,f275]) ).

fof(f535,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
    | ~ spl30_1 ),
    inference(forward_subsumption_resolution,[],[f531,f532]) ).

fof(f543,plain,
    ( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
    | ~ spl30_1 ),
    inference(resolution,[],[f535,f309]) ).

fof(f553,plain,
    ( $false
    | ~ spl30_1 ),
    inference(resolution,[],[f543,f392]) ).

fof(f558,plain,
    ~ spl30_1,
    inference(avatar_contradiction_clause,[],[f553]) ).

cnf(s1,plain,
    ( spl30_1
    | spl30_2 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s4,plain,
    ~ spl30_2,
    inference(sat_conversion,[],[f487]) ).

cnf(s5,plain,
    ~ spl30_1,
    inference(sat_conversion,[],[f558]) ).

cnf(s6,plain,
    $false,
    inference(rat,[],[s1,s4,s5]) ).

fof(f559,plain,
    $false,
    inference(avatar_sat_refutation,[],[s6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO632+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  % Computer : n016.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Sun Sep 27 08:46:17 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.50/1.94  % (2328460)Detected formulas, will run a generic FOF schedule.
% 6.50/1.94  % (2328468)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3696588910:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.50/1.94  % (2328468)Instruction limit reached! 
% 6.50/1.94  % (2328468)------------------------------
% 6.50/1.94  % (2328468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.94  % (2328468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.94  % (2328468)CaDiCaL version: 2.1.3
% 6.50/1.94  % (2328468)Termination reason: Instruction limit
% 6.50/1.94  % (2328468)Termination phase: Saturation
% 6.50/1.94  % (2328468)Time elapsed: 0.039 s
% 6.50/1.94  % (2328468)Peak memory usage: 89 MB
% 6.50/1.94  % (2328468)Instructions burned: 112 (million)
% 6.50/1.94  % (2328465)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1849288124:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.50/1.94  % (2328467)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2195207139:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.50/1.94  % (2328466)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3193083935:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.50/1.94  % (2328469)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1866646297:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.50/1.94  % (2328470)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2721395669:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.50/1.94  % (2328471)dis-21_1_sil=8000:lcm=predicate:random_seed=1727117685:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.50/1.94  % (2328469)Instruction limit reached! 
% 6.50/1.94  % (2328469)------------------------------
% 6.50/1.94  % (2328469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.94  % (2328469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.94  % (2328469)CaDiCaL version: 2.1.3
% 6.50/1.94  % (2328469)Termination reason: Instruction limit
% 6.50/1.94  % (2328469)Termination phase: Saturation
% 6.50/1.94  % (2328469)Time elapsed: 0.069 s
% 6.50/1.94  % (2328469)Peak memory usage: 88 MB
% 6.50/1.94  % (2328469)Instructions burned: 119 (million)
% 6.50/1.94  % (2328474)lrs+10_1_sil=8000:sp=occurrence:random_seed=1365984132:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.50/1.94  % (2328471)Instruction limit reached! 
% 6.50/1.94  % (2328471)------------------------------
% 6.50/1.94  % (2328471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.94  % (2328471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.94  % (2328471)CaDiCaL version: 2.1.3
% 6.50/1.94  % (2328471)Termination reason: Instruction limit
% 6.50/1.94  % (2328471)Termination phase: Saturation
% 6.50/1.94  % (2328471)Time elapsed: 0.074 s
% 6.50/1.94  % (2328471)Peak memory usage: 89 MB
% 6.50/1.94  % (2328471)Instructions burned: 129 (million)
% 6.50/1.94  % (2328470)Instruction limit reached! 
% 6.50/1.94  % (2328470)------------------------------
% 6.50/1.94  % (2328470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.94  % (2328470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.94  % (2328470)CaDiCaL version: 2.1.3
% 6.50/1.94  % (2328470)Termination reason: Instruction limit
% 6.50/1.94  % (2328470)Termination phase: Saturation
% 6.50/1.94  % (2328470)Time elapsed: 0.097 s
% 6.50/1.94  % (2328470)Peak memory usage: 90 MB
% 6.50/1.94  % (2328470)Instructions burned: 139 (million)
% 6.50/1.94  % (2328474)Instruction limit reached! 
% 6.50/1.94  % (2328474)------------------------------
% 6.50/1.94  % (2328474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.94  % (2328474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.94  % (2328474)CaDiCaL version: 2.1.3
% 6.50/1.94  % (2328474)Termination reason: Instruction limit
% 6.50/1.94  % (2328474)Termination phase: Saturation
% 6.50/1.94  % (2328474)Time elapsed: 0.101 s
% 6.50/1.94  % (2328474)Peak memory usage: 93 MB
% 6.50/1.94  % (2328474)Instructions burned: 287 (million)
% 6.50/1.94  % (2328482)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3638772969:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.50/1.94  % (2328481)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3142157126:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.50/1.94  % (2328483)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=515424254:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.50/1.94  % (2328484)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3288309694:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.50/1.94  % (2328481)Instruction limit reached! 
% 6.50/1.94  % (2328481)------------------------------
% 6.50/1.94  % (2328481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.94  % (2328481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.94  % (2328481)CaDiCaL version: 2.1.3
% 6.50/1.94  % (2328481)Termination reason: Instruction limit
% 6.50/1.94  % (2328481)Termination phase: Saturation
% 6.50/1.94  % (2328481)Time elapsed: 0.086 s
% 6.50/1.94  % (2328481)Peak memory usage: 90 MB
% 6.50/1.94  % (2328481)Instructions burned: 157 (million)
% 6.50/1.94  % (2328484)Instruction limit reached! 
% 6.50/1.94  % (2328484)------------------------------
% 6.50/1.94  % (2328484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.94  % (2328484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.94  % (2328484)CaDiCaL version: 2.1.3
% 6.50/1.94  % (2328484)Termination reason: Instruction limit
% 6.50/1.94  % (2328484)Termination phase: Saturation
% 6.50/1.94  % (2328484)Time elapsed: 0.087 s
% 6.50/1.94  % (2328484)Peak memory usage: 89 MB
% 6.50/1.94  % (2328484)Instructions burned: 296 (million)
% 6.50/1.94  % (2328483)Instruction limit reached! 
% 6.50/1.94  % (2328483)------------------------------
% 6.50/1.94  % (2328483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.94  % (2328483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.94  % (2328483)CaDiCaL version: 2.1.3
% 6.50/1.94  % (2328483)Termination reason: Instruction limit
% 6.50/1.94  % (2328483)Termination phase: Saturation
% 6.50/1.94  % (2328483)Time elapsed: 0.139 s
% 6.50/1.94  % (2328483)Peak memory usage: 90 MB
% 6.50/1.94  % (2328483)Instructions burned: 248 (million)
% 6.50/1.94  % (2328482)Instruction limit reached! 
% 6.50/1.94  % (2328482)------------------------------
% 6.50/1.94  % (2328482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.94  % (2328482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.94  % (2328482)CaDiCaL version: 2.1.3
% 6.50/1.94  % (2328482)Termination reason: Instruction limit
% 6.50/1.94  % (2328482)Termination phase: Saturation
% 6.50/1.94  % (2328482)Time elapsed: 0.172 s
% 6.50/1.94  % (2328482)Peak memory usage: 91 MB
% 6.50/1.94  % (2328482)Instructions burned: 325 (million)
% 6.50/1.94  % (2328489)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2356646356:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.50/1.94  % (2328490)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3845860219:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.50/1.94  % (2328490)Instruction limit reached! 
% 6.50/1.94  % (2328490)------------------------------
% 6.50/1.94  % (2328490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.94  % (2328490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.94  % (2328490)CaDiCaL version: 2.1.3
% 6.50/1.94  % (2328490)Termination reason: Instruction limit
% 6.50/1.94  % (2328490)Termination phase: Saturation
% 6.50/1.94  % (2328490)Time elapsed: 0.035 s
% 6.50/1.94  % (2328490)Peak memory usage: 89 MB
% 6.50/1.94  % (2328490)Instructions burned: 115 (million)
% 6.50/1.94  % (2328491)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=46098758:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.50/1.94  % (2328492)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=32480987:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.50/1.94  % (2328495)lrs+10_1_sil=8000:sp=occurrence:random_seed=2425834090:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.50/1.94  % (2328491)Instruction limit reached! 
% 6.50/1.94  % (2328491)------------------------------
% 6.50/1.94  % (2328491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.94  % (2328491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.94  % (2328491)CaDiCaL version: 2.1.3
% 6.50/1.94  % (2328491)Termination reason: Instruction limit
% 6.50/1.94  % (2328491)Termination phase: Saturation
% 6.50/1.94  % (2328491)Time elapsed: 0.072 s
% 6.50/1.94  % (2328491)Peak memory usage: 89 MB
% 6.50/1.94  % (2328491)Instructions burned: 127 (million)
% 6.50/1.94  % (2328492)Instruction limit reached! 
% 6.50/1.94  % (2328492)------------------------------
% 6.50/1.94  % (2328492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.94  % (2328492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.94  % (2328492)CaDiCaL version: 2.1.3
% 6.50/1.94  % (2328492)Termination reason: Instruction limit
% 6.50/1.94  % (2328492)Termination phase: Saturation
% 6.50/1.94  % (2328492)Time elapsed: 0.065 s
% 6.50/1.94  % (2328492)Peak memory usage: 89 MB
% 6.50/1.94  % (2328492)Instructions burned: 114 (million)
% 6.50/1.94  % (2328465)First to succeed.
% 6.50/1.94  % (2328465)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2328460"
% 6.50/1.94  % (2328499)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3637713070:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.50/1.94  % (2328500)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2221044275:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.50/1.94  % (2328466)Also succeeded, but the first one will report.
% 6.50/1.94  % (2328495)Instruction limit reached! 
% 6.50/1.94  % (2328495)------------------------------
% 6.50/1.94  % (2328495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.94  % (2328495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.94  % (2328495)CaDiCaL version: 2.1.3
% 6.50/1.94  % (2328495)Termination reason: Instruction limit
% 6.50/1.94  % (2328495)Termination phase: Saturation
% 6.50/1.94  % (2328495)Time elapsed: 0.312 s
% 6.50/1.94  % (2328495)Peak memory usage: 98 MB
% 6.50/1.94  % (2328495)Instructions burned: 908 (million)
% 6.50/1.94  % (2328465)Refutation found. Thanks to Tanya!
% 6.50/1.94  % SZS status Theorem for theBenchmark
% 6.50/1.94  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/2.13  % (2328465)------------------------------
% 0.19/2.13  % (2328465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.13  % (2328465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.13  % (2328465)CaDiCaL version: 2.1.3
% 0.19/2.13  % (2328465)Termination reason: Refutation
% 0.19/2.13  % (2328465)Time elapsed: 0.666 s
% 0.19/2.13  % (2328465)Peak memory usage: 131 MB
% 0.19/2.13  % (2328465)Instructions burned: 992 (million)
% 0.19/2.13  % (2328465)------------------------------
% 0.19/2.13  % (2328465)------------------------------
% 0.19/2.13  % (2328460)Success in time 1.077 s
% 0.19/2.13  % Vampire exiting
%------------------------------------------------------------------------------