↑ 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  : GEO630+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 : n005.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 2.41s 0.93s
% Output   : Refutation 2.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  160 (  11 unt;   3 def)
%            Number of atoms       :  433 (   0 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  467 ( 194   ~; 187   |;  59   &)
%                                         (   3 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   4 prp; 0-8 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :  654 (   0 sgn 630   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

fof(f7,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).

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(f10,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( para(X0,X1,X2,X3)
        & perp(X2,X3,X4,X5) )
     => perp(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).

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(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(f18,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).

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(f20,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).

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(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(f47,axiom,
    ! [X0,X1,X2] :
      ( cong(X2,X0,X2,X1)
     => eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).

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(f58,axiom,
    ! [X0,X1,X2,X3] :
      ( ( cong(X0,X2,X1,X2)
        & cong(X0,X3,X1,X3)
        & cyclic(X0,X1,X2,X3) )
     => perp(X2,X0,X0,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).

fof(f65,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X0,X1)
        & para(X0,X2,X1,X3)
        & para(X0,X3,X1,X2) )
     => midp(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(f67,axiom,
    ! [X0,X1,X2] :
      ( para(X0,X1,X0,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

fof(f68,axiom,
    ! [X0,X1,X2] :
      ( ( cong(X0,X1,X0,X2)
        & coll(X0,X1,X2) )
     => midp(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

fof(f69,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => cong(X0,X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( circle(X3,X0,X1,X2)
        & circle(X3,X0,X4,X10)
        & circle(X3,X4,X5,X11)
        & coll(X5,X4,X3)
        & perp(X6,X5,X0,X2)
        & coll(X6,X0,X2)
        & perp(X7,X5,X0,X1)
        & coll(X7,X0,X1)
        & perp(X8,X4,X0,X1)
        & coll(X8,X0,X1)
        & perp(X9,X4,X0,X2)
        & coll(X9,X0,X2) )
     => perp(X8,X9,X7,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110993) ).

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,X10)
          & circle(X3,X4,X5,X11)
          & coll(X5,X4,X3)
          & perp(X6,X5,X0,X2)
          & coll(X6,X0,X2)
          & perp(X7,X5,X0,X1)
          & coll(X7,X0,X1)
          & perp(X8,X4,X0,X1)
          & coll(X8,X0,X1)
          & perp(X9,X4,X0,X2)
          & coll(X9,X0,X2) )
       => perp(X8,X9,X7,X6) ),
    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(f106,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X3,X2)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f7]) ).

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(f110,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f111,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(flattening,[],[f110]) ).

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

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(f122,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f18]) ).

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(f124,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f20]) ).

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(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(f161,plain,
    ! [X0,X1,X2] :
      ( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
      | ~ cong(X2,X0,X2,X1) ),
    inference(ennf_transformation,[],[f47]) ).

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(f182,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X0,X0,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f183,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X0,X0,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(flattening,[],[f182]) ).

fof(f193,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | ~ para(X0,X2,X1,X3)
      | ~ para(X0,X3,X1,X2) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f194,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | ~ para(X0,X2,X1,X3)
      | ~ para(X0,X3,X1,X2) ),
    inference(flattening,[],[f193]) ).

fof(f197,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ para(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f198,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f199,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(flattening,[],[f198]) ).

fof(f200,plain,
    ! [X0,X1,X2] :
      ( cong(X0,X1,X0,X2)
      | ~ midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f69]) ).

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

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

fof(f255,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f257,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f106]) ).

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(f260,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5)
      | perp(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f111]) ).

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

fof(f267,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f268,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f122]) ).

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(f270,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f271,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(f289,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(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(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(f297,plain,
    ! [X2,X0,X1] :
      ( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
      | ~ cong(X2,X0,X2,X1) ),
    inference(cnf_transformation,[],[f161]) ).

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(f308,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X2,X0,X0,X3) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f315,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X0,X1)
      | ~ para(X0,X2,X1,X3)
      | ~ para(X0,X3,X1,X2)
      | midp(X4,X2,X3) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f317,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f318,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X2)
      | ~ coll(X0,X1,X2)
      | midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f319,plain,
    ! [X2,X0,X1] :
      ( cong(X0,X1,X0,X2)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f200]) ).

fof(f365,plain,
    perp(sK29,sK24,sK20,sK22),
    inference(cnf_transformation,[],[f250]) ).

fof(f376,plain,
    ~ perp(sK28,sK29,sK27,sK26),
    inference(cnf_transformation,[],[f250]) ).

fof(f469,plain,
    perp(sK20,sK22,sK29,sK24),
    inference(resolution,[],[f258,f365]) ).

fof(f478,plain,
    perp(sK20,sK22,sK24,sK29),
    inference(resolution,[],[f469,f257]) ).

fof(f503,plain,
    ! [X0,X1] :
      ( ~ cong(X0,X0,X0,X1)
      | para(X0,X0,X0,X1) ),
    inference(resolution,[],[f297,f289]) ).

fof(f505,plain,
    ! [X0,X1] :
      ( para(X0,X0,X0,X1)
      | ~ midp(X0,X0,X1) ),
    inference(resolution,[],[f503,f319]) ).

fof(f526,plain,
    ! [X0,X1] :
      ( para(X0,X1,X0,X0)
      | ~ midp(X0,X0,X1) ),
    inference(resolution,[],[f505,f255]) ).

fof(f699,plain,
    ! [X0,X1] :
      ( ~ perp(sK20,sK22,X0,X1)
      | para(sK29,sK24,X0,X1) ),
    inference(resolution,[],[f259,f365]) ).

fof(f752,plain,
    ! [X2,X3,X0,X1] :
      ( ~ midp(X0,X0,X3)
      | perp(X0,X3,X1,X2)
      | ~ perp(X0,X0,X1,X2) ),
    inference(resolution,[],[f260,f526]) ).

fof(f920,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
      | ~ para(X1,X0,X4,X5) ),
    inference(resolution,[],[f268,f290]) ).

fof(f950,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
      | ~ para(X3,X2,X4,X5) ),
    inference(resolution,[],[f269,f920]) ).

fof(f951,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
      | ~ para(X2,X3,X4,X5) ),
    inference(resolution,[],[f269,f290]) ).

fof(f961,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X4,X5,X0,X1,X5,X4,X2,X3)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f951,f268]) ).

fof(f963,definition,
    ( spl32_7
  <=> ! [X2,X3] : para(X2,X3,X2,X3) ),
    introduced(definition,[new_symbols(definition,[spl32_7])],[avatar_definition]) ).

fof(f964,plain,
    ( ! [X2,X3] : para(X2,X3,X2,X3)
    | ~ spl32_7 ),
    inference(avatar_component_clause,[],[f963]) ).

fof(f966,definition,
    ( spl32_8
  <=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
    introduced(definition,[new_symbols(definition,[spl32_8])],[avatar_definition]) ).

fof(f967,plain,
    ( ! [X0,X1] : ~ para(X0,X1,X0,X1)
    | ~ spl32_8 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f1151,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X1,X0)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f950,f289]) ).

fof(f1154,plain,
    ( ! [X0,X1] : ~ para(X0,X1,X1,X0)
    | ~ spl32_8 ),
    inference(forward_subsumption_resolution,[],[f1151,f967]) ).

fof(f1210,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X5,X4)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f961,f269]) ).

fof(f1255,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
      | ~ para(X5,X4,X0,X1) ),
    inference(resolution,[],[f270,f920]) ).

fof(f1261,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X1,X0,X4,X5)
      | ~ para(X4,X5,X2,X3) ),
    inference(resolution,[],[f270,f961]) ).

fof(f1321,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X5,X4)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f271,f1210]) ).

fof(f1378,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X2,X3,X1,X0,X4,X5,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f1255,f271]) ).

fof(f1381,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X3,X2,X4,X5,X1,X0,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f1255,f268]) ).

fof(f1584,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X3,X2) ),
    inference(resolution,[],[f1261,f289]) ).

fof(f1673,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X3,X2,X1,X0,X4,X5,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f1378,f268]) ).

fof(f1676,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X1,X0,X4,X5,X3,X2,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f1381,f270]) ).

fof(f1677,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X4,X5,X3,X2,X4,X5,X1,X0)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f1381,f269]) ).

fof(f2016,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X4,X5,X4,X5,X3,X2,X1,X0) ),
    inference(resolution,[],[f1673,f270]) ).

fof(f2083,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X4,X5,X1,X0,X4,X5,X3,X2) ),
    inference(resolution,[],[f1676,f269]) ).

fof(f2097,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f1677,f289]) ).

fof(f2742,plain,
    ! [X0,X1] :
      ( ~ coll(X0,X1,X1)
      | cyclic(X1,X1,X0,X1)
      | ~ para(X0,X1,X0,X1) ),
    inference(resolution,[],[f293,f1321]) ).

fof(f7374,plain,
    para(sK29,sK24,sK24,sK29),
    inference(resolution,[],[f699,f478]) ).

fof(f7380,plain,
    ( $false
    | ~ spl32_8 ),
    inference(forward_subsumption_resolution,[],[f7374,f1154]) ).

fof(f7381,plain,
    ~ spl32_8,
    inference(avatar_contradiction_clause,[],[f7380]) ).

fof(f7387,definition,
    ( spl32_205
  <=> ! [X2,X3] : para(X2,X3,X3,X2) ),
    introduced(definition,[new_symbols(definition,[spl32_205])],[avatar_definition]) ).

fof(f7388,plain,
    ( ! [X2,X3] : para(X2,X3,X3,X2)
    | ~ spl32_205 ),
    inference(avatar_component_clause,[],[f7387]) ).

fof(f7393,plain,
    ( spl32_205
    | spl32_8 ),
    inference(avatar_split_clause,[],[f1584,f966,f7387]) ).

fof(f7396,plain,
    ( spl32_7
    | spl32_8 ),
    inference(avatar_split_clause,[],[f2097,f966,f963]) ).

fof(f7399,plain,
    ! [X0,X1] :
      ( cyclic(X1,X1,X0,X1)
      | ~ para(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f2742,f317]) ).

fof(f7401,plain,
    ( ! [X0,X1] : coll(X0,X1,X1)
    | ~ spl32_7 ),
    inference(resolution,[],[f964,f317]) ).

fof(f7412,plain,
    ( ! [X2,X3,X0,X1] : eqangle(X0,X1,X0,X1,X2,X3,X2,X3)
    | ~ spl32_7 ),
    inference(resolution,[],[f964,f2016]) ).

fof(f7415,plain,
    ( ! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3)
    | ~ spl32_7 ),
    inference(resolution,[],[f964,f2083]) ).

fof(f7863,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ perp(X0,X1,X2,X3)
        | perp(X1,X0,X2,X3) )
    | ~ spl32_205 ),
    inference(resolution,[],[f7388,f260]) ).

fof(f7931,plain,
    ( ! [X0,X1] : cyclic(X1,X1,X0,X1)
    | ~ spl32_7 ),
    inference(forward_subsumption_resolution,[],[f7399,f964]) ).

fof(f7932,plain,
    ( ! [X0,X1] : cyclic(X0,X0,X0,X1)
    | ~ spl32_7 ),
    inference(resolution,[],[f7931,f264]) ).

fof(f7937,plain,
    ( ! [X0,X1] :
        ( ~ cong(X0,X0,X0,X0)
        | ~ cong(X0,X1,X0,X1)
        | perp(X1,X0,X0,X0) )
    | ~ spl32_7 ),
    inference(resolution,[],[f7931,f308]) ).

fof(f7946,plain,
    ( ! [X2,X0,X1] :
        ( ~ cyclic(X0,X0,X0,X1)
        | cyclic(X0,X0,X2,X1) )
    | ~ spl32_7 ),
    inference(resolution,[],[f7932,f267]) ).

fof(f7954,plain,
    ( ! [X2,X0,X1] : cyclic(X0,X0,X2,X1)
    | ~ spl32_7 ),
    inference(forward_subsumption_resolution,[],[f7946,f7932]) ).

fof(f7970,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cyclic(X0,X0,X1,X2)
        | cyclic(X0,X1,X3,X2) )
    | ~ spl32_7 ),
    inference(resolution,[],[f7954,f267]) ).

fof(f7978,plain,
    ( ! [X2,X3,X0,X1] : cyclic(X0,X1,X3,X2)
    | ~ spl32_7 ),
    inference(forward_subsumption_resolution,[],[f7970,f7954]) ).

fof(f18947,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)
        | cong(X0,X1,X3,X4) )
    | ~ spl32_7 ),
    inference(forward_subsumption_resolution,[],[f294,f7978]) ).

fof(f18948,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
        | ~ cyclic(X0,X1,X2,X5)
        | cong(X0,X1,X3,X4) )
    | ~ spl32_7 ),
    inference(forward_subsumption_resolution,[],[f18947,f7978]) ).

fof(f18949,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
        | cong(X0,X1,X3,X4) )
    | ~ spl32_7 ),
    inference(forward_subsumption_resolution,[],[f18948,f7978]) ).

fof(f18998,plain,
    ( ! [X0,X1] : cong(X0,X0,X1,X1)
    | ~ spl32_7 ),
    inference(resolution,[],[f18949,f7412]) ).

fof(f19071,plain,
    ( ! [X0,X1] : cong(X0,X1,X0,X1)
    | ~ spl32_7 ),
    inference(resolution,[],[f18949,f7415]) ).

fof(f19189,plain,
    ( ! [X0] :
        ( ~ coll(X0,X0,X0)
        | midp(X0,X0,X0) )
    | ~ spl32_7 ),
    inference(resolution,[],[f18998,f318]) ).

fof(f19257,plain,
    ( ! [X0] : midp(X0,X0,X0)
    | ~ spl32_7 ),
    inference(forward_subsumption_resolution,[],[f19189,f7401]) ).

fof(f19330,plain,
    ( ! [X2,X0,X1] :
        ( ~ para(X0,X1,X0,X2)
        | ~ para(X0,X2,X0,X1)
        | midp(X0,X1,X2) )
    | ~ spl32_7 ),
    inference(resolution,[],[f19257,f315]) ).

fof(f19530,plain,
    ( ! [X2,X0,X1] :
        ( ~ para(X0,X2,X0,X1)
        | midp(X0,X1,X2) )
    | ~ spl32_7 ),
    inference(forward_subsumption_resolution,[],[f19330,f255]) ).

fof(f19593,plain,
    ( ! [X2,X0,X1] :
        ( ~ cong(X0,X1,X0,X1)
        | perp(X0,X0,X2,X1) )
    | ~ spl32_7 ),
    inference(resolution,[],[f19071,f307]) ).

fof(f19658,plain,
    ( ! [X0,X1] :
        ( ~ cong(X0,X1,X0,X1)
        | perp(X1,X0,X0,X0) )
    | ~ spl32_7 ),
    inference(resolution,[],[f19071,f7937]) ).

fof(f19667,plain,
    ( ! [X0,X1] : perp(X1,X0,X0,X0)
    | ~ spl32_7 ),
    inference(forward_subsumption_resolution,[],[f19658,f19071]) ).

fof(f19670,plain,
    ( ! [X2,X0,X1] : perp(X0,X0,X2,X1)
    | ~ spl32_7 ),
    inference(forward_subsumption_resolution,[],[f19593,f19071]) ).

fof(f20103,plain,
    ( ! [X0,X1] : perp(X0,X1,X0,X0)
    | ~ spl32_7
    | ~ spl32_205 ),
    inference(resolution,[],[f19667,f7863]) ).

fof(f20450,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ perp(X0,X0,X1,X2)
        | para(X0,X3,X1,X2) )
    | ~ spl32_7
    | ~ spl32_205 ),
    inference(resolution,[],[f20103,f259]) ).

fof(f20496,plain,
    ( ! [X2,X3,X0,X1] : para(X0,X3,X1,X2)
    | ~ spl32_7
    | ~ spl32_205 ),
    inference(forward_subsumption_resolution,[],[f20450,f19670]) ).

fof(f20964,plain,
    ( ! [X2,X0,X1] : midp(X0,X1,X2)
    | ~ spl32_7
    | ~ spl32_205 ),
    inference(forward_subsumption_resolution,[],[f19530,f20496]) ).

fof(f21060,plain,
    ( ! [X2,X3,X0,X1] :
        ( perp(X0,X1,X2,X3)
        | ~ perp(X0,X0,X2,X3) )
    | ~ spl32_7
    | ~ spl32_205 ),
    inference(resolution,[],[f20964,f752]) ).

fof(f21172,plain,
    ( ! [X2,X3,X0,X1] : perp(X0,X1,X2,X3)
    | ~ spl32_7
    | ~ spl32_205 ),
    inference(forward_subsumption_resolution,[],[f21060,f19670]) ).

fof(f21391,plain,
    ( $false
    | ~ spl32_7
    | ~ spl32_205 ),
    inference(resolution,[],[f21172,f376]) ).

fof(f21392,plain,
    ( ~ spl32_7
    | ~ spl32_205 ),
    inference(avatar_contradiction_clause,[],[f21391]) ).

cnf(s133,plain,
    ~ spl32_8,
    inference(sat_conversion,[],[f7381]) ).

cnf(s139,plain,
    ( spl32_8
    | spl32_205 ),
    inference(sat_conversion,[],[f7393]) ).

cnf(s142,plain,
    ( spl32_7
    | spl32_8 ),
    inference(sat_conversion,[],[f7396]) ).

cnf(s487,plain,
    ( ~ spl32_7
    | ~ spl32_205 ),
    inference(sat_conversion,[],[f21392]) ).

cnf(s488,plain,
    spl32_7,
    inference(rat,[],[s142,s133]) ).

cnf(s489,plain,
    spl32_205,
    inference(rat,[],[s139,s133]) ).

cnf(s490,plain,
    $false,
    inference(rat,[],[s487,s489,s488]) ).

fof(f21394,plain,
    $false,
    inference(avatar_sat_refutation,[],[s490]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO630+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40  % Computer : n005.cluster.edu
% 0.13/0.40  % Model    : x86_64 x86_64
% 0.13/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40  % Memory   : 8046.5625MB
% 0.13/0.40  % OS       : Linux 6.8.0-71-generic
% 0.13/0.40  % CPULimit : 300
% 0.13/0.40  % WCLimit  : 300
% 0.13/0.40  % DateTime : Sun Sep 27 08:40:17 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42  Running first-order model finding
% 0.13/0.42  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.41/0.93  % (3685812)Will run a generic schedule for satisfiability detection.
% 2.41/0.93  % (3685820)dis+10_1_sil=32000:sp=arity:random_seed=1225913995:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.41/0.93  % (3685818)% WARNING: option uhcvi not known.
% 2.41/0.93  % (3685817)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2009758033_2999 on theBenchmark for (2999ds/0Mi)
% 2.41/0.93  % (3685818)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2339736340:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.41/0.93  % (3685819)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=853761977:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.41/0.93  % (3685822)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=453306640:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.41/0.93  % (3685821)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2792114110:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.41/0.93  % (3685823)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1790323205:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.41/0.93  % TRYING [1]
% 2.41/0.93  % TRYING [2]
% 2.41/0.93  % (3685820)Instruction limit reached! 
% 2.41/0.93  % (3685820)------------------------------
% 2.41/0.93  % (3685820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.93  % (3685820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.93  % (3685820)CaDiCaL version: 2.1.3
% 2.41/0.93  % (3685820)Termination reason: Instruction limit
% 2.41/0.93  % (3685820)Termination phase: Saturation
% 2.41/0.93  % (3685820)Time elapsed: 0.037 s
% 2.41/0.93  % (3685820)Peak memory usage: 13 MB
% 2.41/0.93  % (3685820)Instructions burned: 103 (million)
% 2.41/0.93  % TRYING [3]
% 2.41/0.93  % (3685831)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=336927378:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.41/0.93  % TRYING [1]
% 2.41/0.93  % TRYING [2]
% 2.41/0.93  % (3685821)Instruction limit reached! 
% 2.41/0.93  % (3685821)------------------------------
% 2.41/0.93  % (3685821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.93  % (3685821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.93  % (3685821)CaDiCaL version: 2.1.3
% 2.41/0.93  % (3685821)Termination reason: Instruction limit
% 2.41/0.93  % (3685821)Termination phase: Saturation
% 2.41/0.93  % (3685821)Time elapsed: 0.069 s
% 2.41/0.93  % (3685821)Peak memory usage: 13 MB
% 2.41/0.93  % (3685821)Instructions burned: 117 (million)
% 2.41/0.93  % TRYING [3]
% 2.41/0.93  % (3685822)Instruction limit reached! 
% 2.41/0.93  % (3685822)------------------------------
% 2.41/0.93  % (3685822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.93  % (3685822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.93  % (3685822)CaDiCaL version: 2.1.3
% 2.41/0.93  % (3685822)Termination reason: Instruction limit
% 2.41/0.93  % (3685822)Termination phase: Saturation
% 2.41/0.93  % (3685822)Time elapsed: 0.081 s
% 2.41/0.93  % (3685822)Peak memory usage: 14 MB
% 2.41/0.93  % (3685822)Instructions burned: 132 (million)
% 2.41/0.93  % (3685833)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1687946448:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.41/0.93  % (3685823)Instruction limit reached! 
% 2.41/0.93  % (3685823)------------------------------
% 2.41/0.93  % (3685823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.93  % (3685823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.93  % (3685823)CaDiCaL version: 2.1.3
% 2.41/0.93  % (3685823)Termination reason: Instruction limit
% 2.41/0.93  % (3685823)Termination phase: Saturation
% 2.41/0.93  % (3685823)Time elapsed: 0.089 s
% 2.41/0.93  % (3685823)Peak memory usage: 16 MB
% 2.41/0.93  % (3685823)Instructions burned: 160 (million)
% 2.41/0.93  % (3685834)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=3065706714:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.41/0.93  % (3685836)ott-21_1_sil=16000:fs=off:random_seed=2930328614:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.41/0.93  % (3685833)Instruction limit reached! 
% 2.41/0.93  % (3685833)------------------------------
% 2.41/0.93  % (3685833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.93  % (3685833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.93  % (3685833)CaDiCaL version: 2.1.3
% 2.41/0.93  % (3685833)Termination reason: Instruction limit
% 2.41/0.93  % (3685833)Termination phase: Saturation
% 2.41/0.93  % (3685833)Time elapsed: 0.081 s
% 2.41/0.93  % (3685833)Peak memory usage: 14 MB
% 2.41/0.93  % (3685833)Instructions burned: 131 (million)
% 2.41/0.93  % (3685831)Instruction limit reached! 
% 2.41/0.93  % (3685831)------------------------------
% 2.41/0.93  % (3685831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.93  % (3685831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.93  % (3685831)CaDiCaL version: 2.1.3
% 2.41/0.93  % (3685831)Termination reason: Instruction limit
% 2.41/0.93  % (3685831)Termination phase: Finite model building constraint generation
% 2.41/0.93  % (3685831)Time elapsed: 0.133 s
% 2.41/0.93  % (3685831)Peak memory usage: 24 MB
% 2.41/0.93  % (3685831)Instructions burned: 716 (million)
% 2.41/0.93  % (3685840)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2869393947:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.41/0.93  % (3685839)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=835679701:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.41/0.93  % TRYING [1]
% 2.41/0.93  % TRYING [2]
% 2.41/0.93  % (3685836)Instruction limit reached! 
% 2.41/0.93  % (3685836)------------------------------
% 2.41/0.93  % (3685836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.93  % (3685836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.93  % (3685836)CaDiCaL version: 2.1.3
% 2.41/0.93  % (3685836)Termination reason: Instruction limit
% 2.41/0.93  % (3685836)Termination phase: Saturation
% 2.41/0.93  % (3685836)Time elapsed: 0.094 s
% 2.41/0.93  % (3685836)Peak memory usage: 13 MB
% 2.41/0.93  % (3685836)Instructions burned: 180 (million)
% 2.41/0.93  % (3685843)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2966759643:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.41/0.93  % TRYING [3]
% 2.41/0.93  % (3685840)Instruction limit reached! 
% 2.41/0.93  % (3685840)------------------------------
% 2.41/0.93  % (3685840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.93  % (3685840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.93  % (3685840)CaDiCaL version: 2.1.3
% 2.41/0.93  % (3685840)Termination reason: Instruction limit
% 2.41/0.93  % (3685840)Termination phase: Finite model building constraint generation
% 2.41/0.93  % (3685840)Time elapsed: 0.171 s
% 2.41/0.93  % (3685840)Peak memory usage: 51 MB
% 2.41/0.93  % (3685840)Instructions burned: 868 (million)
% 2.41/0.93  % (3685845)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=565388221:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.41/0.93  % (3685845)Cannot represent all propositional literals internally
% 2.41/0.93  % (3685845)Refutation not found, incomplete strategy
% 2.41/0.93  % (3685845)------------------------------
% 2.41/0.93  % (3685845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.93  % (3685845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.93  % (3685845)CaDiCaL version: 2.1.3
% 2.41/0.93  % (3685845)Termination reason: Refutation not found, incomplete strategy
% 2.41/0.93  % (3685845)Time elapsed: 0.003 s
% 2.41/0.93  % (3685845)Peak memory usage: 10 MB
% 2.41/0.93  % (3685845)Instructions burned: 13 (million)
% 2.41/0.93  % (3685845)------------------------------
% 2.41/0.93  % (3685845)------------------------------
% 2.41/0.93  % (3685847)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=1894048861:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 2.41/0.93  % (3685834) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3685812-3685834"...
% 2.41/0.93  % (3685834)...printing done.
% 2.41/0.93  % (3685834)Refutation found. Thanks to Tanya!
% 2.41/0.93  % SZS status Theorem for theBenchmark
% 2.41/0.93  % SZS output start Proof for theBenchmark
% See solution above
% 2.41/0.93  % (3685834)------------------------------
% 2.41/0.93  % (3685834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.93  % (3685834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.93  % (3685834)CaDiCaL version: 2.1.3
% 2.41/0.93  % (3685834)Termination reason: Refutation
% 2.41/0.93  % (3685834)Time elapsed: 0.345 s
% 2.41/0.93  % (3685834)Peak memory usage: 18 MB
% 2.41/0.93  % (3685834)Instructions burned: 601 (million)
% 2.41/0.93  % (3685812)Success in time 0.498 s
% 2.41/0.93  % Vampire exiting
%------------------------------------------------------------------------------