↑ 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  : GEO635+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 : n006.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 09:54:55 AM UTC 2026

% Result   : Theorem 13.78s 2.73s
% Output   : Refutation 13.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   86 (  13 unt;   0 def)
%            Number of atoms       :  228 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  232 (  90   ~;  88   |;  37   &)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :  438 ( 420   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
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(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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',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/sandbox2/benchmark/Axioms/GEO012+0.ax',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/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(f41,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).

fof(f42,axiom,
    ! [X0,X1,X2,X3] :
      ( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
        & ~ coll(X2,X3,X0) )
     => cyclic(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).

fof(f43,axiom,
    ! [X0,X1,X2,X3] :
      ( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
        & coll(X2,X3,X1) )
     => cyclic(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

fof(f57,axiom,
    ! [X0,X1,X2,X3] :
      ( ( cong(X0,X2,X1,X2)
        & cong(X0,X3,X1,X3) )
     => perp(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( circle(X3,X0,X1,X2)
        & coll(X4,X0,X1)
        & circle(X3,X0,X5,X7)
        & eqangle(X0,X2,X2,X4,X5,X2,X2,X1)
        & circle(X3,X2,X6,X8)
        & coll(X6,X2,X4) )
     => para(X0,X1,X6,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110998) ).

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

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

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

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

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(f288,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(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(f290,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(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(f386,plain,
    eqangle(sK20,sK22,sK22,sK24,sK25,sK22,sK22,sK21),
    inference(cnf_transformation,[],[f270]) ).

fof(f390,plain,
    ~ para(sK20,sK21,sK26,sK25),
    inference(cnf_transformation,[],[f270]) ).

fof(f551,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X0,X1,X1,X2,X3,X0,X3,X2)
      | ~ cyclic(X0,X2,X1,X3) ),
    inference(resolution,[],[f288,f311]) ).

fof(f558,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(f566,plain,
    eqangle(sK25,sK22,sK22,sK21,sK20,sK22,sK22,sK24),
    inference(resolution,[],[f290,f386]) ).

fof(f576,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(f938,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X0,X1,X2,X3,sK20,sK22,sK22,sK24)
      | eqangle(X0,X1,X2,X3,sK25,sK22,sK22,sK21) ),
    inference(resolution,[],[f292,f386]) ).

fof(f1225,plain,
    eqangle(sK25,sK22,sK22,sK21,sK25,sK22,sK22,sK21),
    inference(resolution,[],[f938,f566]) ).

fof(f1507,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X3,X0,X3,X1,X0,X2,X2,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f551,f290]) ).

fof(f1570,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f558,f309]) ).

fof(f1776,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | ~ coll(X0,X2,X1) ),
    inference(resolution,[],[f576,f313]) ).

fof(f1777,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | coll(X0,X2,X1) ),
    inference(resolution,[],[f576,f312]) ).

fof(f1787,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2) ),
    inference(forward_subsumption_resolution,[],[f1776,f1777]) ).

fof(f3667,plain,
    para(sK25,sK22,sK25,sK22),
    inference(resolution,[],[f1225,f309]) ).

fof(f11174,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f1570,f3667]) ).

fof(f11692,plain,
    ! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
    inference(resolution,[],[f1787,f11174]) ).

fof(f14714,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f11692,f287]) ).

fof(f14747,plain,
    ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f14714,f11692]) ).

fof(f15169,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | ~ cyclic(X0,X1,X2,X0)
      | ~ cyclic(X0,X1,X2,X1)
      | ~ cyclic(X0,X1,X2,X0)
      | cong(X0,X1,X0,X1) ),
    inference(resolution,[],[f1507,f314]) ).

fof(f15180,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | ~ cyclic(X0,X1,X2,X0)
      | ~ cyclic(X0,X1,X2,X1)
      | cong(X0,X1,X0,X1) ),
    inference(duplicate_literal_removal,[],[f15169]) ).

fof(f15181,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | ~ cyclic(X0,X1,X2,X0)
      | cong(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f15180,f14747]) ).

fof(f15192,plain,
    ! [X2,X0,X1] :
      ( ~ cyclic(X0,X1,X0,X2)
      | cong(X0,X1,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f15181,f14747]) ).

fof(f15194,plain,
    ! [X0,X1] : cong(X0,X1,X0,X1),
    inference(forward_subsumption_resolution,[],[f15192,f14747]) ).

fof(f15480,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X1)
      | perp(X0,X0,X1,X2) ),
    inference(resolution,[],[f15194,f327]) ).

fof(f15517,plain,
    ! [X2,X0,X1] : perp(X0,X0,X1,X2),
    inference(forward_subsumption_resolution,[],[f15480,f15194]) ).

fof(f15733,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ perp(X0,X1,X2,X2)
      | para(X0,X1,X3,X4) ),
    inference(resolution,[],[f15517,f279]) ).

fof(f15735,plain,
    ! [X2,X0,X1] : perp(X0,X1,X2,X2),
    inference(resolution,[],[f15517,f278]) ).

fof(f15746,plain,
    ! [X3,X0,X1,X4] : para(X0,X1,X3,X4),
    inference(forward_subsumption_resolution,[],[f15733,f15735]) ).

fof(f16915,plain,
    $false,
    inference(resolution,[],[f15746,f390]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO635+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39  % Computer : n006.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Sun Sep 27 08:41:11 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42  Running first-order model finding
% 0.13/0.42  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
% 6.72/1.47  % (2690744)Will run a generic schedule for satisfiability detection.
% 6.72/1.47  % (2690753)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2664584828:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.72/1.47  % (2690750)% WARNING: option uhcvi not known.
% 6.72/1.47  % (2690750)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1892656608:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.72/1.47  % (2690749)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2501464803_2999 on theBenchmark for (2999ds/0Mi)
% 6.72/1.47  % (2690751)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1487937976:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.72/1.47  % (2690752)dis+10_1_sil=32000:sp=arity:random_seed=2868585485:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.72/1.47  % (2690754)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2194798972:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.72/1.47  % (2690755)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1963031932:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.72/1.47  % TRYING [1]
% 6.72/1.47  % TRYING [2]
% 6.72/1.47  % (2690753)Instruction limit reached! 
% 6.72/1.47  % (2690753)------------------------------
% 6.72/1.47  % (2690753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/1.47  % (2690753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/1.47  % (2690753)CaDiCaL version: 2.1.3
% 6.72/1.47  % (2690753)Termination reason: Instruction limit
% 6.72/1.47  % (2690753)Termination phase: Saturation
% 6.72/1.47  % (2690753)Time elapsed: 0.038 s
% 6.72/1.47  % (2690753)Peak memory usage: 13 MB
% 6.72/1.47  % (2690753)Instructions burned: 117 (million)
% 6.72/1.47  % TRYING [3]
% 6.72/1.47  % (2690763)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1920027429:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.72/1.47  % TRYING [1]
% 6.72/1.47  % TRYING [2]
% 6.72/1.47  % (2690752)Instruction limit reached! 
% 6.72/1.47  % (2690752)------------------------------
% 6.72/1.47  % (2690752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/1.47  % (2690752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/1.47  % (2690752)CaDiCaL version: 2.1.3
% 6.72/1.47  % (2690752)Termination reason: Instruction limit
% 6.72/1.47  % (2690752)Termination phase: Saturation
% 6.72/1.47  % (2690752)Time elapsed: 0.066 s
% 6.72/1.47  % (2690752)Peak memory usage: 13 MB
% 6.72/1.47  % (2690752)Instructions burned: 104 (million)
% 6.72/1.47  % TRYING [3]
% 6.72/1.47  % (2690754)Instruction limit reached! 
% 6.72/1.47  % (2690754)------------------------------
% 6.72/1.47  % (2690754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/1.47  % (2690754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/1.47  % (2690754)CaDiCaL version: 2.1.3
% 6.72/1.47  % (2690754)Termination reason: Instruction limit
% 6.72/1.47  % (2690754)Termination phase: Saturation
% 6.72/1.47  % (2690754)Time elapsed: 0.082 s
% 6.72/1.47  % (2690754)Peak memory usage: 14 MB
% 6.72/1.47  % (2690754)Instructions burned: 132 (million)
% 6.72/1.47  % (2690765)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2579177474:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.72/1.47  % (2690755)Instruction limit reached! 
% 6.72/1.47  % (2690755)------------------------------
% 6.72/1.47  % (2690755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/1.47  % (2690755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.72/1.47  % (2690755)CaDiCaL version: 2.1.3
% 6.72/1.47  % (2690755)Termination reason: Instruction limit
% 6.72/1.47  % (2690755)Termination phase: Saturation
% 6.72/1.47  % (2690755)Time elapsed: 0.088 s
% 6.72/1.47  % (2690755)Peak memory usage: 14 MB
% 6.72/1.47  % (2690755)Instructions burned: 159 (million)
% 6.72/1.47  % (2690766)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=3573191980:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.72/1.47  % (2690768)ott-21_1_sil=16000:fs=off:random_seed=350748912:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.72/1.47  % (2690765)Instruction limit reached! 
% 6.72/1.47  % (2690765)------------------------------
% 6.72/1.47  % (2690765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.72/1.47  % (2690765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.73  % (2690765)CaDiCaL version: 2.1.3
% 13.78/2.73  % (2690765)Termination reason: Instruction limit
% 13.78/2.73  % (2690765)Termination phase: Saturation
% 13.78/2.73  % (2690765)Time elapsed: 0.084 s
% 13.78/2.73  % (2690765)Peak memory usage: 14 MB
% 13.78/2.73  % (2690765)Instructions burned: 132 (million)
% 13.78/2.73  % (2690763)Instruction limit reached! 
% 13.78/2.73  % (2690763)------------------------------
% 13.78/2.73  % (2690763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.73  % (2690763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.73  % (2690763)CaDiCaL version: 2.1.3
% 13.78/2.73  % (2690763)Termination reason: Instruction limit
% 13.78/2.73  % (2690763)Termination phase: Finite model building constraint generation
% 13.78/2.73  % (2690763)Time elapsed: 0.134 s
% 13.78/2.73  % (2690763)Peak memory usage: 24 MB
% 13.78/2.73  % (2690763)Instructions burned: 719 (million)
% 13.78/2.73  % (2690772)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=111730257:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 13.78/2.73  % TRYING [1]
% 13.78/2.73  % (2690771)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2537122659:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 13.78/2.73  % TRYING [2]
% 13.78/2.73  % (2690768)Instruction limit reached! 
% 13.78/2.73  % (2690768)------------------------------
% 13.78/2.73  % (2690768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.73  % (2690768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.73  % (2690768)CaDiCaL version: 2.1.3
% 13.78/2.73  % (2690768)Termination reason: Instruction limit
% 13.78/2.73  % (2690768)Termination phase: Saturation
% 13.78/2.73  % (2690768)Time elapsed: 0.094 s
% 13.78/2.73  % (2690768)Peak memory usage: 13 MB
% 13.78/2.73  % (2690768)Instructions burned: 182 (million)
% 13.78/2.73  % (2690775)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1627393515:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 13.78/2.73  % TRYING [3]
% 13.78/2.73  % (2690772)Instruction limit reached! 
% 13.78/2.73  % (2690772)------------------------------
% 13.78/2.73  % (2690772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.73  % (2690772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.73  % (2690772)CaDiCaL version: 2.1.3
% 13.78/2.73  % (2690772)Termination reason: Instruction limit
% 13.78/2.73  % (2690772)Termination phase: Finite model building constraint generation
% 13.78/2.73  % (2690772)Time elapsed: 0.163 s
% 13.78/2.73  % (2690772)Peak memory usage: 51 MB
% 13.78/2.73  % (2690772)Instructions burned: 869 (million)
% 13.78/2.73  % (2690777)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1520827682:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 13.78/2.73  % (2690777)Cannot represent all propositional literals internally
% 13.78/2.73  % (2690777)Refutation not found, incomplete strategy
% 13.78/2.73  % (2690777)------------------------------
% 13.78/2.73  % (2690777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.73  % (2690777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.73  % (2690777)CaDiCaL version: 2.1.3
% 13.78/2.73  % (2690777)Termination reason: Refutation not found, incomplete strategy
% 13.78/2.73  % (2690777)Time elapsed: 0.003 s
% 13.78/2.73  % (2690777)Peak memory usage: 11 MB
% 13.78/2.73  % (2690777)Instructions burned: 12 (million)
% 13.78/2.73  % (2690777)------------------------------
% 13.78/2.73  % (2690777)------------------------------
% 13.78/2.73  % (2690779)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=3599414619: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)
% 13.78/2.73  % (2690771)Instruction limit reached! 
% 13.78/2.73  % (2690771)------------------------------
% 13.78/2.73  % (2690771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.73  % (2690771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.73  % (2690771)CaDiCaL version: 2.1.3
% 13.78/2.73  % (2690771)Termination reason: Instruction limit
% 13.78/2.73  % (2690771)Termination phase: Saturation
% 13.78/2.73  % (2690771)Time elapsed: 0.281 s
% 13.78/2.73  % (2690771)Peak memory usage: 15 MB
% 13.78/2.73  % (2690771)Instructions burned: 478 (million)
% 13.78/2.73  % (2690781)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=871687546:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 13.78/2.73  % (2690766)Instruction limit reached! 
% 13.78/2.73  % (2690766)------------------------------
% 13.78/2.73  % (2690766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.73  % (2690766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.73  % (2690766)CaDiCaL version: 2.1.3
% 13.78/2.73  % (2690766)Termination reason: Instruction limit
% 13.78/2.73  % (2690766)Termination phase: Saturation
% 13.78/2.73  % (2690766)Time elapsed: 0.411 s
% 13.78/2.73  % (2690766)Peak memory usage: 20 MB
% 13.78/2.73  % (2690766)Instructions burned: 685 (million)
% 13.78/2.73  % (2690783)fmb+10_1_sil=64000:random_seed=868618337:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 13.78/2.73  % TRYING [1]
% 13.78/2.73  % TRYING [2]
% 13.78/2.73  % (2690779)Instruction limit reached! 
% 13.78/2.73  % (2690779)------------------------------
% 13.78/2.73  % (2690779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.73  % (2690779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.73  % (2690779)CaDiCaL version: 2.1.3
% 13.78/2.73  % (2690779)Termination reason: Instruction limit
% 13.78/2.73  % (2690779)Termination phase: Saturation
% 13.78/2.73  % (2690779)Time elapsed: 0.222 s
% 13.78/2.73  % (2690779)Peak memory usage: 19 MB
% 13.78/2.73  % (2690779)Instructions burned: 694 (million)
% 13.78/2.73  % (2690785)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=634099343:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 13.78/2.73  % (2690785)Cannot represent all propositional literals internally
% 13.78/2.73  % (2690785)Refutation not found, incomplete strategy
% 13.78/2.73  % (2690785)------------------------------
% 13.78/2.73  % (2690785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.73  % (2690785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.73  % (2690785)CaDiCaL version: 2.1.3
% 13.78/2.73  % (2690785)Termination reason: Refutation not found, incomplete strategy
% 13.78/2.73  % (2690785)Time elapsed: 0.003 s
% 13.78/2.73  % (2690785)Peak memory usage: 11 MB
% 13.78/2.73  % (2690785)Instructions burned: 12 (million)
% 13.78/2.73  % (2690785)------------------------------
% 13.78/2.73  % (2690785)------------------------------
% 13.78/2.73  % (2690787)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=443110407:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 13.78/2.73  % TRYING [3]
% 13.78/2.73  % TRYING [8]
% 13.78/2.73  % (2690787)Instruction limit reached! 
% 13.78/2.73  % (2690787)------------------------------
% 13.78/2.73  % (2690787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.73  % (2690787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.73  % (2690787)CaDiCaL version: 2.1.3
% 13.78/2.73  % (2690787)Termination reason: Instruction limit
% 13.78/2.73  % (2690787)Termination phase: Finite model building constraint generation
% 13.78/2.73  % (2690787)Time elapsed: 0.157 s
% 13.78/2.73  % (2690787)Peak memory usage: 46 MB
% 13.78/2.73  % (2690787)Instructions burned: 921 (million)
% 13.78/2.73  % (2690789)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2535610470:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 13.78/2.73  % (2690775)Instruction limit reached! 
% 13.78/2.73  % (2690775)------------------------------
% 13.78/2.73  % (2690775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.73  % (2690775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.73  % (2690775)CaDiCaL version: 2.1.3
% 13.78/2.73  % (2690775)Termination reason: Instruction limit
% 13.78/2.73  % (2690775)Termination phase: Saturation
% 13.78/2.73  % (2690775)Time elapsed: 0.730 s
% 13.78/2.73  % (2690775)Peak memory usage: 24 MB
% 13.78/2.73  % (2690775)Instructions burned: 1180 (million)
% 13.78/2.73  % (2690791)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2429502448:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 13.78/2.73  % (2690781)Instruction limit reached! 
% 13.78/2.73  % (2690781)------------------------------
% 13.78/2.73  % (2690781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.73  % (2690781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.73  % (2690781)CaDiCaL version: 2.1.3
% 13.78/2.73  % (2690781)Termination reason: Instruction limit
% 13.78/2.73  % (2690781)Termination phase: Saturation
% 13.78/2.73  % (2690781)Time elapsed: 0.490 s
% 13.78/2.73  % (2690781)Peak memory usage: 18 MB
% 13.78/2.73  % (2690781)Instructions burned: 879 (million)
% 13.78/2.73  % (2690793)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3801615647:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 13.78/2.73  % (2690793)Cannot represent all propositional literals internally
% 13.78/2.73  % (2690793)Refutation not found, incomplete strategy
% 13.78/2.73  % (2690793)------------------------------
% 13.78/2.73  % (2690793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.73  % (2690793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.73  % (2690793)CaDiCaL version: 2.1.3
% 13.78/2.73  % (2690793)Termination reason: Refutation not found, incomplete strategy
% 13.78/2.73  % (2690793)Time elapsed: 0.008 s
% 13.78/2.73  % (2690793)Peak memory usage: 11 MB
% 13.78/2.73  % (2690793)Instructions burned: 15 (million)
% 13.78/2.73  % (2690793)------------------------------
% 13.78/2.73  % (2690793)------------------------------
% 13.78/2.73  % (2690795)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1803168171:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 13.78/2.73  % (2690795)Cannot represent all propositional literals internally
% 13.78/2.73  % (2690795)Refutation not found, incomplete strategy
% 13.78/2.73  % (2690795)------------------------------
% 13.78/2.73  % (2690795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.73  % (2690795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.73  % (2690795)CaDiCaL version: 2.1.3
% 13.78/2.73  % (2690795)Termination reason: Refutation not found, incomplete strategy
% 13.78/2.73  % (2690795)Time elapsed: 0.082 s
% 13.78/2.73  % (2690795)Peak memory usage: 13 MB
% 13.78/2.73  % (2690795)Instructions burned: 166 (million)
% 13.78/2.73  % (2690795)------------------------------
% 13.78/2.73  % (2690795)------------------------------
% 13.78/2.73  % (2690797)ott-2_1_sil=16000:newcnf=on:random_seed=626625594:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 13.78/2.73  % (2690797)Instruction limit reached! 
% 13.78/2.73  % (2690797)------------------------------
% 13.78/2.73  % (2690797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.73  % (2690797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.73  % (2690797)CaDiCaL version: 2.1.3
% 13.78/2.73  % (2690797)Termination reason: Instruction limit
% 13.78/2.73  % (2690797)Termination phase: Saturation
% 13.78/2.73  % (2690797)Time elapsed: 0.543 s
% 13.78/2.73  % (2690797)Peak memory usage: 18 MB
% 13.78/2.73  % (2690797)Instructions burned: 869 (million)
% 13.78/2.73  % (2690799)ott+10_1_sil=32000:tgt=ground:random_seed=1270923950:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 13.78/2.73  % (2690791)Instruction limit reached! 
% 13.78/2.73  % (2690791)------------------------------
% 13.78/2.73  % (2690791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.73  % (2690791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.73  % (2690791)CaDiCaL version: 2.1.3
% 13.78/2.73  % (2690791)Termination reason: Instruction limit
% 13.78/2.73  % (2690791)Termination phase: Saturation
% 13.78/2.73  % (2690791)Time elapsed: 0.964 s
% 13.78/2.73  % (2690791)Peak memory usage: 33 MB
% 13.78/2.73  % (2690791)Instructions burned: 1473 (million)
% 13.78/2.73  % (2690801)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1717919624:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 13.78/2.73  % TRYING [1]
% 13.78/2.73  % TRYING [2]
% 13.78/2.73  % TRYING [3]
% 13.78/2.73  % (2690799) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2690744-2690799"...
% 13.78/2.73  % (2690799)...printing done.
% 13.78/2.73  % (2690799)Refutation found. Thanks to Tanya!
% 13.78/2.73  % SZS status Theorem for theBenchmark
% 13.78/2.73  % SZS output start Proof for theBenchmark
% See solution above
% 13.78/2.73  % (2690799)------------------------------
% 13.78/2.73  % (2690799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.73  % (2690799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.73  % (2690799)CaDiCaL version: 2.1.3
% 13.78/2.73  % (2690799)Termination reason: Refutation
% 13.78/2.73  % (2690799)Time elapsed: 0.531 s
% 13.78/2.73  % (2690799)Peak memory usage: 22 MB
% 13.78/2.73  % (2690799)Instructions burned: 858 (million)
% 13.78/2.73  % (2690744)Success in time 2.3 s
% 13.78/2.73  % Vampire exiting
%------------------------------------------------------------------------------