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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO552+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% 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 09:54:43 AM UTC 2026

% Result   : Theorem 8.15s 1.68s
% Output   : Refutation 8.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  148 (  46 unt;   0 def)
%            Number of atoms       :  325 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  294 ( 117   ~; 112   |;  40   &)
%                                         (   0 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :  465 ( 449   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X1,X0,X2) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

fof(f5,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( midp(X2,X1,X0)
     => midp(X2,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

fof(f23,axiom,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X2,X3)
     => cong(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).

fof(f24,axiom,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X2,X3)
     => cong(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).

fof(f25,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( cong(X0,X1,X2,X3)
        & cong(X2,X3,X4,X5) )
     => cong(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).

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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

fof(f45,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X3,X0,X1)
        & midp(X4,X0,X2) )
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).

fof(f46,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X3,X0,X1)
        & para(X3,X4,X1,X2)
        & coll(X4,X0,X2) )
     => midp(X4,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).

fof(f53,axiom,
    ! [X0,X1,X2,X3] :
      ( ( perp(X0,X1,X1,X2)
        & midp(X3,X0,X2) )
     => cong(X0,X3,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(f67,axiom,
    ! [X0,X1,X2] :
      ( para(X0,X1,X0,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

fof(f69,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => cong(X0,X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

fof(f70,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( circle(X3,X0,X1,X2)
        & perp(X0,X2,X1,X4)
        & circle(X3,X0,X4,X7)
        & coll(X5,X0,X2)
        & coll(X5,X1,X4)
        & midp(X6,X1,X0) )
     => perp(X6,X5,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012012) ).

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

fof(f98,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f1]) ).

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(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(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(f112,plain,
    ! [X0,X1,X2] :
      ( midp(X2,X0,X1)
      | ~ midp(X2,X1,X0) ),
    inference(ennf_transformation,[],[f11]) ).

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(f128,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X3,X2)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f129,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X2,X3,X0,X1)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f130,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X4,X5)
      | ~ cong(X0,X1,X2,X3)
      | ~ cong(X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f131,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X4,X5)
      | ~ cong(X0,X1,X2,X3)
      | ~ cong(X2,X3,X4,X5) ),
    inference(flattening,[],[f130]) ).

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(f157,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1)
      | ~ midp(X4,X0,X2) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f158,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1)
      | ~ midp(X4,X0,X2) ),
    inference(flattening,[],[f157]) ).

fof(f159,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X0,X2)
      | ~ midp(X3,X0,X1)
      | ~ para(X3,X4,X1,X2)
      | ~ coll(X4,X0,X2) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f160,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X0,X2)
      | ~ midp(X3,X0,X1)
      | ~ para(X3,X4,X1,X2)
      | ~ coll(X4,X0,X2) ),
    inference(flattening,[],[f159]) ).

fof(f172,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X3,X1,X3)
      | ~ perp(X0,X1,X1,X2)
      | ~ midp(X3,X0,X2) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f173,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X3,X1,X3)
      | ~ perp(X0,X1,X1,X2)
      | ~ midp(X3,X0,X2) ),
    inference(flattening,[],[f172]) ).

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(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(f201,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f70]) ).

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

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

fof(f270,plain,
    ( ~ perp(sK26,sK25,sK22,sK24)
    & circle(sK23,sK20,sK21,sK22)
    & perp(sK20,sK22,sK21,sK24)
    & circle(sK23,sK20,sK24,sK27)
    & coll(sK25,sK20,sK22)
    & coll(sK25,sK21,sK24)
    & midp(sK26,sK21,sK20) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[f250]) ).

fof(f271,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f272,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X1,X0,X2) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f273,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2)
      | coll(X2,X3,X0) ),
    inference(cnf_transformation,[],[f101]) ).

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(f280,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | perp(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f281,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X2,X1,X0)
      | midp(X2,X0,X1) ),
    inference(cnf_transformation,[],[f112]) ).

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(f293,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f294,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f295,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3)
      | cong(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f131]) ).

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

fof(f315,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1)
      | para(X3,X4,X1,X2) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f316,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X3,X0,X1)
      | midp(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ coll(X4,X0,X2) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f323,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X1,X2)
      | cong(X0,X3,X1,X3)
      | ~ midp(X3,X0,X2) ),
    inference(cnf_transformation,[],[f173]) ).

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(f335,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X0,X1)
      | midp(X4,X2,X3)
      | ~ para(X0,X2,X1,X3)
      | ~ para(X0,X3,X1,X2) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f337,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f338,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X2)
      | midp(X0,X1,X2)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f339,plain,
    ! [X2,X0,X1] :
      ( cong(X0,X1,X0,X2)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f200]) ).

fof(f340,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f384,plain,
    midp(sK26,sK21,sK20),
    inference(cnf_transformation,[],[f270]) ).

fof(f388,plain,
    perp(sK20,sK22,sK21,sK24),
    inference(cnf_transformation,[],[f270]) ).

fof(f390,plain,
    ~ perp(sK26,sK25,sK22,sK24),
    inference(cnf_transformation,[],[f270]) ).

fof(f413,plain,
    midp(sK26,sK20,sK21),
    inference(resolution,[],[f281,f384]) ).

fof(f417,plain,
    coll(sK26,sK21,sK20),
    inference(resolution,[],[f340,f384]) ).

fof(f419,plain,
    coll(sK21,sK26,sK20),
    inference(resolution,[],[f417,f272]) ).

fof(f424,plain,
    coll(sK21,sK20,sK26),
    inference(resolution,[],[f419,f271]) ).

fof(f433,plain,
    perp(sK21,sK24,sK20,sK22),
    inference(resolution,[],[f278,f388]) ).

fof(f449,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X2,X1)
      | cong(X0,X1,X0,X2) ),
    inference(resolution,[],[f294,f339]) ).

fof(f451,plain,
    cong(sK26,sK20,sK26,sK21),
    inference(resolution,[],[f449,f384]) ).

fof(f452,plain,
    cong(sK26,sK21,sK26,sK20),
    inference(resolution,[],[f449,f413]) ).

fof(f456,plain,
    cong(sK26,sK21,sK20,sK26),
    inference(resolution,[],[f452,f293]) ).

fof(f459,plain,
    cong(sK20,sK26,sK26,sK21),
    inference(resolution,[],[f456,f294]) ).

fof(f465,plain,
    ! [X0] :
      ( ~ coll(sK21,sK20,X0)
      | coll(X0,sK26,sK21) ),
    inference(resolution,[],[f273,f424]) ).

fof(f477,plain,
    ! [X0] :
      ( ~ coll(sK26,sK21,X0)
      | coll(X0,sK20,sK26) ),
    inference(resolution,[],[f273,f417]) ).

fof(f573,plain,
    coll(sK20,sK20,sK26),
    inference(resolution,[],[f477,f417]) ).

fof(f576,plain,
    coll(sK20,sK26,sK20),
    inference(resolution,[],[f573,f271]) ).

fof(f578,plain,
    coll(sK26,sK20,sK20),
    inference(resolution,[],[f576,f272]) ).

fof(f681,plain,
    coll(sK26,sK26,sK21),
    inference(resolution,[],[f465,f424]) ).

fof(f686,plain,
    coll(sK26,sK21,sK26),
    inference(resolution,[],[f681,f271]) ).

fof(f687,plain,
    coll(sK26,sK20,sK26),
    inference(resolution,[],[f686,f477]) ).

fof(f693,plain,
    coll(sK20,sK26,sK26),
    inference(resolution,[],[f687,f272]) ).

fof(f1908,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK20,sK22)
      | para(X0,X1,sK21,sK24) ),
    inference(resolution,[],[f279,f388]) ).

fof(f2311,plain,
    ! [X0,X1] :
      ( ~ cong(X0,X1,sK26,sK21)
      | cong(X0,X1,sK26,sK20) ),
    inference(resolution,[],[f295,f452]) ).

fof(f2616,plain,
    para(sK21,sK24,sK21,sK24),
    inference(resolution,[],[f1908,f433]) ).

fof(f2621,plain,
    ! [X0,X1] : eqangle(sK21,sK24,X0,X1,sK21,sK24,X0,X1),
    inference(resolution,[],[f2616,f310]) ).

fof(f2832,plain,
    cong(sK20,sK26,sK26,sK20),
    inference(resolution,[],[f2311,f459]) ).

fof(f2834,plain,
    cong(sK26,sK20,sK26,sK20),
    inference(resolution,[],[f2311,f451]) ).

fof(f2842,plain,
    ( midp(sK26,sK20,sK20)
    | ~ coll(sK26,sK20,sK20) ),
    inference(resolution,[],[f2834,f338]) ).

fof(f2843,plain,
    midp(sK26,sK20,sK20),
    inference(forward_subsumption_resolution,[],[f2842,f578]) ).

fof(f2859,plain,
    cong(sK20,sK26,sK20,sK26),
    inference(resolution,[],[f2832,f293]) ).

fof(f2880,plain,
    ( midp(sK20,sK26,sK26)
    | ~ coll(sK20,sK26,sK26) ),
    inference(resolution,[],[f2859,f338]) ).

fof(f2881,plain,
    midp(sK20,sK26,sK26),
    inference(forward_subsumption_resolution,[],[f2880,f693]) ).

fof(f2885,plain,
    ! [X0,X1] :
      ( ~ midp(X0,sK26,X1)
      | para(X0,sK20,X1,sK26) ),
    inference(resolution,[],[f2881,f315]) ).

fof(f3167,plain,
    ! [X0,X1] : eqangle(X0,X1,sK21,sK24,X0,X1,sK21,sK24),
    inference(resolution,[],[f289,f2621]) ).

fof(f4255,plain,
    ! [X0,X1] :
      ( midp(sK26,X0,X1)
      | ~ para(sK20,X0,sK20,X1)
      | ~ para(sK20,X1,sK20,X0) ),
    inference(resolution,[],[f335,f2843]) ).

fof(f4260,plain,
    ! [X0,X1] :
      ( ~ para(sK20,X1,sK20,X0)
      | midp(sK26,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f4255,f275]) ).

fof(f4746,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f3167,f309]) ).

fof(f4754,plain,
    ! [X0,X1] : coll(X0,X1,X1),
    inference(resolution,[],[f4746,f337]) ).

fof(f4763,plain,
    ! [X0,X1] : coll(X0,X1,X0),
    inference(resolution,[],[f4754,f272]) ).

fof(f5110,plain,
    ! [X0,X1] : coll(X0,X0,X1),
    inference(resolution,[],[f4763,f271]) ).

fof(f5454,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X0,X1)
      | coll(X1,X2,X0) ),
    inference(resolution,[],[f5110,f273]) ).

fof(f5506,plain,
    ! [X2,X0,X1] : coll(X1,X2,X0),
    inference(forward_subsumption_resolution,[],[f5454,f5110]) ).

fof(f8842,plain,
    ! [X0] : midp(sK26,X0,X0),
    inference(resolution,[],[f4260,f4746]) ).

fof(f8858,plain,
    ! [X0] : cong(sK26,X0,sK26,X0),
    inference(resolution,[],[f8842,f449]) ).

fof(f8863,plain,
    para(sK26,sK20,sK26,sK26),
    inference(resolution,[],[f8842,f2885]) ).

fof(f8890,plain,
    ! [X0,X1] :
      ( ~ cong(sK26,X0,sK26,X0)
      | perp(sK26,sK26,X0,X1) ),
    inference(resolution,[],[f8858,f327]) ).

fof(f8895,plain,
    ! [X0,X1] : perp(sK26,sK26,X0,X1),
    inference(forward_subsumption_resolution,[],[f8890,f8858]) ).

fof(f8898,plain,
    ! [X0,X1] :
      ( perp(sK26,sK20,X0,X1)
      | ~ perp(sK26,sK26,X0,X1) ),
    inference(resolution,[],[f8863,f280]) ).

fof(f8903,plain,
    ! [X0,X1] : perp(sK26,sK20,X0,X1),
    inference(forward_subsumption_resolution,[],[f8898,f8895]) ).

fof(f8937,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,sK26,sK26)
      | para(X0,X1,X2,X3) ),
    inference(resolution,[],[f8895,f279]) ).

fof(f8938,plain,
    ! [X0,X1] : perp(X0,X1,sK26,sK26),
    inference(resolution,[],[f8895,f278]) ).

fof(f8946,plain,
    ! [X2,X3,X0,X1] : para(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f8937,f8938]) ).

fof(f8961,plain,
    ! [X0,X1] : perp(X0,X1,sK26,sK20),
    inference(resolution,[],[f8903,f278]) ).

fof(f9057,plain,
    ! [X0,X1] : midp(sK26,X0,X1),
    inference(resolution,[],[f8946,f4260]) ).

fof(f9066,plain,
    ! [X2,X3,X0,X1] :
      ( midp(X0,X1,X2)
      | ~ para(sK26,X0,X3,X2)
      | ~ coll(X0,X1,X2) ),
    inference(resolution,[],[f9057,f316]) ).

fof(f9088,plain,
    ! [X2,X0,X1] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[],[f9066,f8946]) ).

fof(f9089,plain,
    ! [X2,X0,X1] : midp(X0,X1,X2),
    inference(forward_subsumption_resolution,[],[f9088,f5506]) ).

fof(f9123,plain,
    ! [X0,X1] :
      ( cong(X0,X1,sK26,X1)
      | ~ midp(X1,X0,sK20) ),
    inference(resolution,[],[f8961,f323]) ).

fof(f9134,plain,
    ! [X0,X1] : cong(X0,X1,sK26,X1),
    inference(forward_subsumption_resolution,[],[f9123,f9089]) ).

fof(f9212,plain,
    ! [X0,X1] : cong(sK26,X0,X1,X0),
    inference(resolution,[],[f9134,f294]) ).

fof(f9467,plain,
    ! [X2,X0,X1] :
      ( ~ cong(sK26,X0,X1,X0)
      | perp(sK26,X1,X0,X2) ),
    inference(resolution,[],[f9212,f327]) ).

fof(f9474,plain,
    ! [X2,X0,X1] : perp(sK26,X1,X0,X2),
    inference(forward_subsumption_resolution,[],[f9467,f9212]) ).

fof(f9895,plain,
    $false,
    inference(resolution,[],[f9474,f390]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO552+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36  % Computer : n016.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 27 08:34:31 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39  Running first-order model finding
% 0.10/0.39  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.15/1.68  % (2321464)Will run a generic schedule for satisfiability detection.
% 8.15/1.68  % (2321470)% WARNING: option uhcvi not known.
% 8.15/1.68  % (2321470)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1732754461:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.15/1.68  % (2321469)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4178042073_2999 on theBenchmark for (2999ds/0Mi)
% 8.15/1.68  % (2321475)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1316248744:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.15/1.68  % (2321472)dis+10_1_sil=32000:sp=arity:random_seed=3332327604:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.15/1.68  % (2321471)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=519147221:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.15/1.68  % (2321473)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1471911951:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.15/1.68  % (2321474)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2010038774:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.15/1.68  % TRYING [1]
% 8.15/1.68  % TRYING [2]
% 8.15/1.68  % TRYING [3]
% 8.15/1.68  % (2321472)Instruction limit reached! 
% 8.15/1.68  % (2321472)------------------------------
% 8.15/1.68  % (2321472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.68  % (2321472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.68  % (2321472)CaDiCaL version: 2.1.3
% 8.15/1.68  % (2321472)Termination reason: Instruction limit
% 8.15/1.68  % (2321472)Termination phase: Saturation
% 8.15/1.68  % (2321472)Time elapsed: 0.065 s
% 8.15/1.68  % (2321472)Peak memory usage: 13 MB
% 8.15/1.68  % (2321472)Instructions burned: 103 (million)
% 8.15/1.68  % (2321473)Instruction limit reached! 
% 8.15/1.68  % (2321473)------------------------------
% 8.15/1.68  % (2321473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.68  % (2321473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.68  % (2321473)CaDiCaL version: 2.1.3
% 8.15/1.68  % (2321473)Termination reason: Instruction limit
% 8.15/1.68  % (2321473)Termination phase: Saturation
% 8.15/1.68  % (2321473)Time elapsed: 0.069 s
% 8.15/1.68  % (2321473)Peak memory usage: 13 MB
% 8.15/1.68  % (2321473)Instructions burned: 116 (million)
% 8.15/1.68  % (2321474)Instruction limit reached! 
% 8.15/1.68  % (2321474)------------------------------
% 8.15/1.68  % (2321474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.68  % (2321474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.68  % (2321474)CaDiCaL version: 2.1.3
% 8.15/1.68  % (2321474)Termination reason: Instruction limit
% 8.15/1.68  % (2321474)Termination phase: Saturation
% 8.15/1.68  % (2321474)Time elapsed: 0.082 s
% 8.15/1.68  % (2321474)Peak memory usage: 14 MB
% 8.15/1.68  % (2321474)Instructions burned: 131 (million)
% 8.15/1.68  % (2321483)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=299879422:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.15/1.68  % (2321484)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=26390407:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.15/1.68  % (2321475)Instruction limit reached! 
% 8.15/1.68  % (2321475)------------------------------
% 8.15/1.68  % (2321475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.68  % (2321475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.68  % (2321475)CaDiCaL version: 2.1.3
% 8.15/1.68  % (2321475)Termination reason: Instruction limit
% 8.15/1.68  % (2321475)Termination phase: Saturation
% 8.15/1.68  % (2321475)Time elapsed: 0.096 s
% 8.15/1.68  % (2321475)Peak memory usage: 14 MB
% 8.15/1.68  % (2321475)Instructions burned: 160 (million)
% 8.15/1.68  % TRYING [1]
% 8.15/1.68  % TRYING [2]
% 8.15/1.68  % (2321485)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=2379526246:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.15/1.68  % (2321488)ott-21_1_sil=16000:fs=off:random_seed=2184344678:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.15/1.68  % TRYING [3]
% 8.15/1.68  % (2321484)Instruction limit reached! 
% 8.15/1.68  % (2321484)------------------------------
% 8.15/1.68  % (2321484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.68  % (2321484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.68  % (2321484)CaDiCaL version: 2.1.3
% 8.15/1.68  % (2321484)Termination reason: Instruction limit
% 8.15/1.68  % (2321484)Termination phase: Saturation
% 8.15/1.68  % (2321484)Time elapsed: 0.090 s
% 8.15/1.68  % (2321484)Peak memory usage: 15 MB
% 8.15/1.68  % (2321484)Instructions burned: 132 (million)
% 8.15/1.68  % (2321491)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3261341175:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.15/1.68  % (2321488)Instruction limit reached! 
% 8.15/1.68  % (2321488)------------------------------
% 8.15/1.68  % (2321488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.68  % (2321488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.68  % (2321488)CaDiCaL version: 2.1.3
% 8.15/1.68  % (2321488)Termination reason: Instruction limit
% 8.15/1.68  % (2321488)Termination phase: Saturation
% 8.15/1.68  % (2321488)Time elapsed: 0.096 s
% 8.15/1.68  % (2321488)Peak memory usage: 13 MB
% 8.15/1.68  % (2321488)Instructions burned: 182 (million)
% 8.15/1.68  % (2321493)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=118128665:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.15/1.68  % TRYING [1]
% 8.15/1.68  % TRYING [2]
% 8.15/1.68  % TRYING [3]
% 8.15/1.68  % (2321483)Instruction limit reached! 
% 8.15/1.68  % (2321483)------------------------------
% 8.15/1.68  % (2321483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.68  % (2321483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.68  % (2321483)CaDiCaL version: 2.1.3
% 8.15/1.68  % (2321483)Termination reason: Instruction limit
% 8.15/1.68  % (2321483)Termination phase: Finite model building constraint generation
% 8.15/1.68  % (2321483)Time elapsed: 0.247 s
% 8.15/1.68  % (2321483)Peak memory usage: 25 MB
% 8.15/1.68  % (2321483)Instructions burned: 714 (million)
% 8.15/1.68  % (2321495)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3557791513:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 8.15/1.68  % (2321485)Instruction limit reached! 
% 8.15/1.68  % (2321485)------------------------------
% 8.15/1.68  % (2321485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.68  % (2321485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.68  % (2321485)CaDiCaL version: 2.1.3
% 8.15/1.68  % (2321485)Termination reason: Instruction limit
% 8.15/1.68  % (2321485)Termination phase: Saturation
% 8.15/1.68  % (2321485)Time elapsed: 0.401 s
% 8.15/1.68  % (2321485)Peak memory usage: 19 MB
% 8.15/1.68  % (2321485)Instructions burned: 684 (million)
% 8.15/1.68  % (2321491)Instruction limit reached! 
% 8.15/1.68  % (2321491)------------------------------
% 8.15/1.68  % (2321491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.68  % (2321491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.68  % (2321491)CaDiCaL version: 2.1.3
% 8.15/1.68  % (2321491)Termination reason: Instruction limit
% 8.15/1.68  % (2321491)Termination phase: Saturation
% 8.15/1.68  % (2321491)Time elapsed: 0.311 s
% 8.15/1.68  % (2321491)Peak memory usage: 15 MB
% 8.15/1.68  % (2321491)Instructions burned: 477 (million)
% 8.15/1.68  % (2321497)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3992643664:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 8.15/1.68  % (2321497)Cannot represent all propositional literals internally
% 8.15/1.68  % (2321497)Refutation not found, incomplete strategy
% 8.15/1.68  % (2321497)------------------------------
% 8.15/1.68  % (2321497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.68  % (2321497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.68  % (2321493)Instruction limit reached! 
% 8.15/1.68  % (2321493)------------------------------
% 8.15/1.68  % (2321493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.68  % (2321497)CaDiCaL version: 2.1.3
% 8.15/1.68  % (2321497)Termination reason: Refutation not found, incomplete strategy
% 8.15/1.68  % (2321497)Time elapsed: 0.006 s
% 8.15/1.68  % (2321497)Peak memory usage: 11 MB
% 8.15/1.68  % (2321493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.68  % (2321497)Instructions burned: 12 (million)
% 8.15/1.68  % (2321493)CaDiCaL version: 2.1.3
% 8.15/1.68  % (2321493)Termination reason: Instruction limit
% 8.15/1.68  % (2321493)Termination phase: Finite model building constraint generation
% 8.15/1.68  % (2321493)Time elapsed: 0.300 s
% 8.15/1.68  % (2321493)Peak memory usage: 51 MB
% 8.15/1.68  % (2321493)Instructions burned: 866 (million)
% 8.15/1.68  % (2321498)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=4281518141:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 8.15/1.68  % (2321497)------------------------------
% 8.15/1.68  % (2321497)------------------------------
% 8.15/1.68  % (2321501)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=501608984:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 8.15/1.68  % (2321502)fmb+10_1_sil=64000:random_seed=3796512977:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 8.15/1.68  % TRYING [1]
% 8.15/1.68  % TRYING [2]
% 8.15/1.68  % TRYING [3]
% 8.15/1.68  % (2321498)Instruction limit reached! 
% 8.15/1.68  % (2321498)------------------------------
% 8.15/1.68  % (2321498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.68  % (2321498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.68  % (2321498)CaDiCaL version: 2.1.3
% 8.15/1.68  % (2321498)Termination reason: Instruction limit
% 8.15/1.68  % (2321498)Termination phase: Saturation
% 8.15/1.68  % (2321498)Time elapsed: 0.429 s
% 8.15/1.68  % (2321498)Peak memory usage: 23 MB
% 8.15/1.68  % (2321498)Instructions burned: 692 (million)
% 8.15/1.68  % (2321505)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1593461647:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.15/1.68  % (2321505)Cannot represent all propositional literals internally
% 8.15/1.68  % (2321505)Refutation not found, incomplete strategy
% 8.15/1.68  % (2321505)------------------------------
% 8.15/1.68  % (2321505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.68  % (2321505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.68  % (2321505)CaDiCaL version: 2.1.3
% 8.15/1.68  % (2321505)Termination reason: Refutation not found, incomplete strategy
% 8.15/1.68  % (2321505)Time elapsed: 0.006 s
% 8.15/1.68  % (2321505)Peak memory usage: 11 MB
% 8.15/1.68  % (2321505)Instructions burned: 12 (million)
% 8.15/1.68  % (2321505)------------------------------
% 8.15/1.68  % (2321505)------------------------------
% 8.15/1.68  % (2321507)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3381551246:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 8.15/1.68  % TRYING [8]
% 8.15/1.68  % (2321501)Instruction limit reached! 
% 8.15/1.68  % (2321501)------------------------------
% 8.15/1.68  % (2321501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.68  % (2321501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.68  % (2321501)CaDiCaL version: 2.1.3
% 8.15/1.68  % (2321501)Termination reason: Instruction limit
% 8.15/1.68  % (2321501)Termination phase: Saturation
% 8.15/1.68  % (2321501)Time elapsed: 0.505 s
% 8.15/1.68  % (2321501)Peak memory usage: 18 MB
% 8.15/1.68  % (2321501)Instructions burned: 881 (million)
% 8.15/1.68  % (2321509)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3477863886:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 8.15/1.68  % (2321495)Instruction limit reached! 
% 8.15/1.68  % (2321495)------------------------------
% 8.15/1.68  % (2321495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.68  % (2321495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.68  % (2321495)CaDiCaL version: 2.1.3
% 8.15/1.68  % (2321495)Termination reason: Instruction limit
% 8.15/1.68  % (2321495)Termination phase: Saturation
% 8.15/1.68  % (2321495)Time elapsed: 0.733 s
% 8.15/1.68  % (2321495)Peak memory usage: 23 MB
% 8.15/1.68  % (2321495)Instructions burned: 1179 (million)
% 8.15/1.68  % (2321511)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3006872052:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 8.15/1.68  % (2321511) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2321464-2321511"...
% 8.15/1.68  % (2321511)...printing done.
% 8.15/1.68  % (2321511)Refutation found. Thanks to Tanya!
% 8.15/1.68  % SZS status Theorem for theBenchmark
% 8.15/1.68  % SZS output start Proof for theBenchmark
% See solution above
% 8.15/1.68  % (2321511)------------------------------
% 8.15/1.68  % (2321511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.68  % (2321511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.68  % (2321511)CaDiCaL version: 2.1.3
% 8.15/1.68  % (2321511)Termination reason: Refutation
% 8.15/1.68  % (2321511)Time elapsed: 0.108 s
% 8.15/1.68  % (2321511)Peak memory usage: 14 MB
% 8.15/1.68  % (2321511)Instructions burned: 179 (million)
% 8.15/1.68  % (2321464)Success in time 1.284 s
% 8.15/1.68  % Vampire exiting
%------------------------------------------------------------------------------