TSTP Solution File: GEO607+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO607+1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 20:32:54 EDT 2024

% Result   : Theorem 10.83s 1.95s
% Output   : Refutation 10.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  225 ( 117 unt;   0 def)
%            Number of atoms       :  433 (   0 equ)
%            Maximal formula atoms :   10 (   1 avg)
%            Number of connectives :  335 ( 127   ~; 115   |;  53   &)
%                                         (   0 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-4 aty)
%            Number of variables   :  463 ( 441   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f81285,plain,
    $false,
    inference(subsumption_resolution,[],[f81041,f55773]) ).

fof(f55773,plain,
    ~ para(sK7,sK8,sK6,sK6),
    inference(unit_resulting_resolution,[],[f563,f42347,f463]) ).

fof(f463,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | perp(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f279]) ).

fof(f279,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(flattening,[],[f278]) ).

fof(f278,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X2,X3,X4,X5)
        & para(X0,X1,X2,X3) )
     => perp(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD10) ).

fof(f42347,plain,
    perp(sK6,sK6,sK9,sK7),
    inference(unit_resulting_resolution,[],[f1890,f34210,f408]) ).

fof(f408,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X3,X1,X3)
      | perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f207,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(flattening,[],[f206]) ).

fof(f206,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(ennf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1,X2,X3] :
      ( ( cong(X0,X3,X1,X3)
        & cong(X0,X2,X1,X2) )
     => perp(X0,X1,X2,X3) ),
    inference(rectify,[],[f57]) ).

fof(f57,axiom,
    ! [X0,X1,X8,X9] :
      ( ( cong(X0,X9,X1,X9)
        & cong(X0,X8,X1,X8) )
     => perp(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).

fof(f34210,plain,
    cong(sK6,sK9,sK6,sK9),
    inference(unit_resulting_resolution,[],[f33344,f382]) ).

fof(f382,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X2)
      | cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f171,plain,
    ! [X0,X1,X2] :
      ( cong(X0,X1,X0,X2)
      | ~ midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => cong(X0,X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD68) ).

fof(f33344,plain,
    midp(sK6,sK9,sK9),
    inference(unit_resulting_resolution,[],[f1661,f4512,f4512,f431]) ).

fof(f431,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ para(X0,X3,X1,X2)
      | midp(X4,X2,X3)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(cnf_transformation,[],[f236]) ).

fof(f236,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X2,X3)
      | ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(flattening,[],[f235]) ).

fof(f235,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X2,X3)
      | ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(ennf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( para(X0,X3,X1,X2)
        & para(X0,X2,X1,X3)
        & midp(X4,X0,X1) )
     => midp(X4,X2,X3) ),
    inference(rectify,[],[f65]) ).

fof(f65,axiom,
    ! [X0,X1,X2,X3,X6] :
      ( ( para(X0,X3,X1,X2)
        & para(X0,X2,X1,X3)
        & midp(X6,X0,X1) )
     => midp(X6,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD64) ).

fof(f4512,plain,
    para(sK5,sK9,sK5,sK9),
    inference(unit_resulting_resolution,[],[f1182,f1173,f464]) ).

fof(f464,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f281]) ).

fof(f281,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(flattening,[],[f280]) ).

fof(f280,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X2,X3,X4,X5)
        & perp(X0,X1,X2,X3) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).

fof(f1173,plain,
    perp(sK11(sK5,sK7,sK6,sK9),sK5,sK5,sK9),
    inference(unit_resulting_resolution,[],[f378,f413]) ).

fof(f413,plain,
    ! [X2,X3,X0,X1] :
      ( ~ circle(X3,X0,X1,X2)
      | perp(sK11(X0,X1,X2,X3),X0,X0,X3) ),
    inference(cnf_transformation,[],[f333]) ).

fof(f333,plain,
    ! [X0,X1,X2,X3] :
      ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f216,f332]) ).

fof(f332,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( perp(X4,X0,X0,X3)
          | ~ circle(X3,X0,X1,X2) )
     => ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
        | ~ circle(X3,X0,X1,X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f216,plain,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( perp(X4,X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( circle(X3,X0,X1,X2)
     => perp(X4,X0,X0,X3) ),
    inference(rectify,[],[f87]) ).

fof(f87,axiom,
    ! [X0,X1,X2,X7] :
    ? [X8] :
      ( circle(X7,X0,X1,X2)
     => perp(X8,X0,X0,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).

fof(f378,plain,
    circle(sK9,sK5,sK7,sK6),
    inference(cnf_transformation,[],[f329]) ).

fof(f329,plain,
    ( ~ perp(sK8,sK7,sK7,sK9)
    & circle(sK9,sK5,sK7,sK6)
    & circle(sK8,sK4,sK6,sK7)
    & perp(sK7,sK4,sK7,sK5)
    & midp(sK6,sK5,sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9])],[f168,f328]) ).

fof(f328,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( ~ perp(X4,X3,X3,X5)
        & circle(X5,X1,X3,X2)
        & circle(X4,X0,X2,X3)
        & perp(X3,X0,X3,X1)
        & midp(X2,X1,X0) )
   => ( ~ perp(sK8,sK7,sK7,sK9)
      & circle(sK9,sK5,sK7,sK6)
      & circle(sK8,sK4,sK6,sK7)
      & perp(sK7,sK4,sK7,sK5)
      & midp(sK6,sK5,sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f168,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X4,X3,X3,X5)
      & circle(X5,X1,X3,X2)
      & circle(X4,X0,X2,X3)
      & perp(X3,X0,X3,X1)
      & midp(X2,X1,X0) ),
    inference(flattening,[],[f167]) ).

fof(f167,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X4,X3,X3,X5)
      & circle(X5,X1,X3,X2)
      & circle(X4,X0,X2,X3)
      & perp(X3,X0,X3,X1)
      & midp(X2,X1,X0) ),
    inference(ennf_transformation,[],[f96]) ).

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

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( circle(X5,X1,X3,X2)
        & circle(X4,X0,X2,X3)
        & perp(X3,X0,X3,X1)
        & midp(X2,X1,X0) )
     => perp(X4,X3,X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618069) ).

fof(f1182,plain,
    perp(sK5,sK9,sK11(sK5,sK7,sK6,sK9),sK5),
    inference(unit_resulting_resolution,[],[f1173,f398]) ).

fof(f398,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f189,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).

fof(f1661,plain,
    midp(sK6,sK5,sK5),
    inference(unit_resulting_resolution,[],[f693,f1475,f387]) ).

fof(f387,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X2)
      | ~ coll(X0,X1,X2)
      | midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f177,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(flattening,[],[f176]) ).

fof(f176,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0,X1,X2] :
      ( ( coll(X0,X1,X2)
        & cong(X0,X1,X0,X2) )
     => midp(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD67) ).

fof(f1475,plain,
    cong(sK6,sK5,sK6,sK5),
    inference(unit_resulting_resolution,[],[f1405,f1430,f405]) ).

fof(f405,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X1,X2)
      | ~ midp(X3,X0,X2)
      | cong(X0,X3,X1,X3) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f201,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X3,X1,X3)
      | ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2) ),
    inference(flattening,[],[f200]) ).

fof(f200,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X3,X1,X3)
      | ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2) ),
    inference(ennf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1,X2,X3] :
      ( ( midp(X3,X0,X2)
        & perp(X0,X1,X1,X2) )
     => cong(X0,X3,X1,X3) ),
    inference(rectify,[],[f53]) ).

fof(f53,axiom,
    ! [X0,X1,X2,X6] :
      ( ( midp(X6,X0,X2)
        & perp(X0,X1,X1,X2) )
     => cong(X0,X6,X1,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD52) ).

fof(f1430,plain,
    perp(sK6,sK6,sK6,sK6),
    inference(unit_resulting_resolution,[],[f747,f1372,f403]) ).

fof(f403,plain,
    ! [X2,X3,X0,X1] :
      ( ~ circle(X3,X0,X1,X2)
      | ~ coll(X3,X0,X2)
      | perp(X0,X1,X1,X2) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f197,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X1,X2)
      | ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(flattening,[],[f196]) ).

fof(f196,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X1,X2)
      | ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1,X2,X3] :
      ( ( coll(X3,X0,X2)
        & circle(X3,X0,X1,X2) )
     => perp(X0,X1,X1,X2) ),
    inference(rectify,[],[f54]) ).

fof(f54,axiom,
    ! [X0,X1,X2,X7] :
      ( ( coll(X7,X0,X2)
        & circle(X7,X0,X1,X2) )
     => perp(X0,X1,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD53) ).

fof(f1372,plain,
    circle(sK4,sK6,sK6,sK6),
    inference(unit_resulting_resolution,[],[f1352,f1352,f406]) ).

fof(f406,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X3,X0,X3,X2)
      | circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f203,plain,
    ! [X0,X1,X2,X3] :
      ( circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1) ),
    inference(flattening,[],[f202]) ).

fof(f202,plain,
    ! [X0,X1,X2,X3] :
      ( circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1) ),
    inference(ennf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1,X2,X3] :
      ( ( cong(X3,X0,X3,X2)
        & cong(X3,X0,X3,X1) )
     => circle(X3,X0,X1,X2) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1,X2,X7] :
      ( ( cong(X7,X0,X7,X2)
        & cong(X7,X0,X7,X1) )
     => circle(X7,X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD12) ).

fof(f1352,plain,
    cong(sK4,sK6,sK4,sK6),
    inference(unit_resulting_resolution,[],[f497,f1341,f405]) ).

fof(f1341,plain,
    perp(sK4,sK4,sK4,sK5),
    inference(unit_resulting_resolution,[],[f1326,f397]) ).

fof(f397,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f188,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X3,X2)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).

fof(f1326,plain,
    perp(sK4,sK4,sK5,sK4),
    inference(unit_resulting_resolution,[],[f1319,f398]) ).

fof(f1319,plain,
    perp(sK5,sK4,sK4,sK4),
    inference(unit_resulting_resolution,[],[f501,f1300,f403]) ).

fof(f1300,plain,
    circle(sK6,sK5,sK4,sK4),
    inference(unit_resulting_resolution,[],[f529,f529,f406]) ).

fof(f529,plain,
    cong(sK6,sK5,sK6,sK4),
    inference(unit_resulting_resolution,[],[f375,f382]) ).

fof(f375,plain,
    midp(sK6,sK5,sK4),
    inference(cnf_transformation,[],[f329]) ).

fof(f501,plain,
    coll(sK6,sK5,sK4),
    inference(unit_resulting_resolution,[],[f375,f381]) ).

fof(f381,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f170,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD69) ).

fof(f497,plain,
    midp(sK6,sK4,sK5),
    inference(unit_resulting_resolution,[],[f375,f380]) ).

fof(f380,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X2,X1,X0)
      | midp(X2,X0,X1) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ! [X0,X1,X2] :
      ( midp(X2,X0,X1)
      | ~ midp(X2,X1,X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( midp(X2,X1,X0)
     => midp(X2,X0,X1) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1,X6] :
      ( midp(X6,X1,X0)
     => midp(X6,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD11) ).

fof(f747,plain,
    coll(sK4,sK6,sK6),
    inference(unit_resulting_resolution,[],[f501,f676,f402]) ).

fof(f402,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X0,X1,X3)
      | coll(X2,X3,X0)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f195]) ).

fof(f195,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(flattening,[],[f194]) ).

fof(f194,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( coll(X0,X1,X3)
        & coll(X0,X1,X2) )
     => coll(X2,X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).

fof(f676,plain,
    coll(sK6,sK5,sK6),
    inference(unit_resulting_resolution,[],[f632,f383]) ).

fof(f383,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f172,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).

fof(f632,plain,
    coll(sK6,sK6,sK5),
    inference(unit_resulting_resolution,[],[f514,f514,f402]) ).

fof(f514,plain,
    coll(sK5,sK4,sK6),
    inference(unit_resulting_resolution,[],[f509,f383]) ).

fof(f509,plain,
    coll(sK5,sK6,sK4),
    inference(unit_resulting_resolution,[],[f501,f384]) ).

fof(f384,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X1,X0,X2) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f173,plain,
    ! [X0,X1,X2] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).

fof(f1405,plain,
    midp(sK5,sK6,sK6),
    inference(unit_resulting_resolution,[],[f749,f1359,f387]) ).

fof(f1359,plain,
    cong(sK5,sK6,sK5,sK6),
    inference(unit_resulting_resolution,[],[f375,f1346,f405]) ).

fof(f1346,plain,
    perp(sK5,sK5,sK5,sK4),
    inference(unit_resulting_resolution,[],[f1333,f397]) ).

fof(f1333,plain,
    perp(sK5,sK5,sK4,sK5),
    inference(unit_resulting_resolution,[],[f1323,f398]) ).

fof(f1323,plain,
    perp(sK4,sK5,sK5,sK5),
    inference(unit_resulting_resolution,[],[f502,f1304,f403]) ).

fof(f1304,plain,
    circle(sK6,sK4,sK5,sK5),
    inference(unit_resulting_resolution,[],[f530,f530,f406]) ).

fof(f530,plain,
    cong(sK6,sK4,sK6,sK5),
    inference(unit_resulting_resolution,[],[f497,f382]) ).

fof(f502,plain,
    coll(sK6,sK4,sK5),
    inference(unit_resulting_resolution,[],[f497,f381]) ).

fof(f749,plain,
    coll(sK5,sK6,sK6),
    inference(unit_resulting_resolution,[],[f676,f384]) ).

fof(f693,plain,
    coll(sK6,sK5,sK5),
    inference(unit_resulting_resolution,[],[f651,f384]) ).

fof(f651,plain,
    coll(sK5,sK6,sK5),
    inference(unit_resulting_resolution,[],[f630,f383]) ).

fof(f630,plain,
    coll(sK5,sK5,sK6),
    inference(unit_resulting_resolution,[],[f502,f502,f402]) ).

fof(f1890,plain,
    cong(sK6,sK7,sK6,sK7),
    inference(unit_resulting_resolution,[],[f1763,f399]) ).

fof(f399,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f190]) ).

fof(f190,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X3,X2)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X2,X3)
     => cong(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD23) ).

fof(f1763,plain,
    cong(sK6,sK7,sK7,sK6),
    inference(unit_resulting_resolution,[],[f1695,f400]) ).

fof(f400,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X2,X3,X0,X1)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X2,X3)
     => cong(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD24) ).

fof(f1695,plain,
    cong(sK7,sK6,sK6,sK7),
    inference(unit_resulting_resolution,[],[f1519,f399]) ).

fof(f1519,plain,
    cong(sK7,sK6,sK7,sK6),
    inference(unit_resulting_resolution,[],[f1405,f1493,f401]) ).

fof(f401,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X3,X2,X0,X1)
      | cong(X3,X0,X3,X1)
      | ~ midp(X2,X0,X1) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f193,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X3,X0,X3,X1)
      | ~ perp(X3,X2,X0,X1)
      | ~ midp(X2,X0,X1) ),
    inference(flattening,[],[f192]) ).

fof(f192,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X3,X0,X3,X1)
      | ~ perp(X3,X2,X0,X1)
      | ~ midp(X2,X0,X1) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1,X2,X3] :
      ( ( perp(X3,X2,X0,X1)
        & midp(X2,X0,X1) )
     => cong(X3,X0,X3,X1) ),
    inference(rectify,[],[f56]) ).

fof(f56,axiom,
    ! [X0,X1,X6,X7] :
      ( ( perp(X7,X6,X0,X1)
        & midp(X6,X0,X1) )
     => cong(X7,X0,X7,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD55) ).

fof(f1493,plain,
    perp(sK7,sK5,sK6,sK6),
    inference(unit_resulting_resolution,[],[f1092,f1092,f408]) ).

fof(f1092,plain,
    cong(sK7,sK6,sK5,sK6),
    inference(unit_resulting_resolution,[],[f1088,f400]) ).

fof(f1088,plain,
    cong(sK5,sK6,sK7,sK6),
    inference(unit_resulting_resolution,[],[f375,f542,f405]) ).

fof(f542,plain,
    perp(sK5,sK7,sK7,sK4),
    inference(unit_resulting_resolution,[],[f534,f398]) ).

fof(f534,plain,
    perp(sK7,sK4,sK5,sK7),
    inference(unit_resulting_resolution,[],[f376,f397]) ).

fof(f376,plain,
    perp(sK7,sK4,sK7,sK5),
    inference(cnf_transformation,[],[f329]) ).

fof(f563,plain,
    ~ perp(sK7,sK8,sK9,sK7),
    inference(unit_resulting_resolution,[],[f552,f398]) ).

fof(f552,plain,
    ~ perp(sK9,sK7,sK7,sK8),
    inference(unit_resulting_resolution,[],[f540,f397]) ).

fof(f540,plain,
    ~ perp(sK9,sK7,sK8,sK7),
    inference(unit_resulting_resolution,[],[f533,f398]) ).

fof(f533,plain,
    ~ perp(sK8,sK7,sK9,sK7),
    inference(unit_resulting_resolution,[],[f379,f397]) ).

fof(f379,plain,
    ~ perp(sK8,sK7,sK7,sK9),
    inference(cnf_transformation,[],[f329]) ).

fof(f81041,plain,
    para(sK7,sK8,sK6,sK6),
    inference(unit_resulting_resolution,[],[f11353,f80223,f428]) ).

fof(f428,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X0,X2)
      | para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1) ),
    inference(cnf_transformation,[],[f230]) ).

fof(f230,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(flattening,[],[f229]) ).

fof(f229,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(ennf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X0,X2)
        & midp(X3,X0,X1) )
     => para(X3,X4,X1,X2) ),
    inference(rectify,[],[f45]) ).

fof(f45,axiom,
    ! [X0,X1,X2,X4,X5] :
      ( ( midp(X5,X0,X2)
        & midp(X4,X0,X1) )
     => para(X4,X5,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD44) ).

fof(f80223,plain,
    midp(sK8,sK4,sK6),
    inference(unit_resulting_resolution,[],[f9726,f9664,f80120,f431]) ).

fof(f80120,plain,
    midp(sK8,sK4,sK4),
    inference(unit_resulting_resolution,[],[f12277,f55246,f55246,f431]) ).

fof(f55246,plain,
    para(sK4,sK4,sK8,sK4),
    inference(unit_resulting_resolution,[],[f1487,f42315,f464]) ).

fof(f42315,plain,
    perp(sK6,sK6,sK8,sK4),
    inference(unit_resulting_resolution,[],[f1469,f33980,f408]) ).

fof(f33980,plain,
    cong(sK6,sK8,sK6,sK8),
    inference(unit_resulting_resolution,[],[f33192,f382]) ).

fof(f33192,plain,
    midp(sK6,sK8,sK8),
    inference(unit_resulting_resolution,[],[f1616,f4500,f4500,f431]) ).

fof(f4500,plain,
    para(sK4,sK8,sK4,sK8),
    inference(unit_resulting_resolution,[],[f1176,f1172,f464]) ).

fof(f1172,plain,
    perp(sK11(sK4,sK6,sK7,sK8),sK4,sK4,sK8),
    inference(unit_resulting_resolution,[],[f377,f413]) ).

fof(f377,plain,
    circle(sK8,sK4,sK6,sK7),
    inference(cnf_transformation,[],[f329]) ).

fof(f1176,plain,
    perp(sK4,sK8,sK11(sK4,sK6,sK7,sK8),sK4),
    inference(unit_resulting_resolution,[],[f1172,f398]) ).

fof(f1616,plain,
    midp(sK6,sK4,sK4),
    inference(unit_resulting_resolution,[],[f668,f1469,f387]) ).

fof(f668,plain,
    coll(sK6,sK4,sK4),
    inference(unit_resulting_resolution,[],[f644,f384]) ).

fof(f644,plain,
    coll(sK4,sK6,sK4),
    inference(unit_resulting_resolution,[],[f629,f383]) ).

fof(f629,plain,
    coll(sK4,sK4,sK6),
    inference(unit_resulting_resolution,[],[f501,f501,f402]) ).

fof(f1469,plain,
    cong(sK6,sK4,sK6,sK4),
    inference(unit_resulting_resolution,[],[f1425,f399]) ).

fof(f1425,plain,
    cong(sK6,sK4,sK4,sK6),
    inference(unit_resulting_resolution,[],[f1370,f400]) ).

fof(f1370,plain,
    cong(sK4,sK6,sK6,sK4),
    inference(unit_resulting_resolution,[],[f1352,f399]) ).

fof(f1487,plain,
    perp(sK4,sK4,sK6,sK6),
    inference(unit_resulting_resolution,[],[f1352,f1352,f408]) ).

fof(f12277,plain,
    midp(sK8,sK4,sK8),
    inference(unit_resulting_resolution,[],[f5536,f4500,f11164,f430]) ).

fof(f430,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ para(X3,X4,X1,X2)
      | ~ coll(X4,X0,X2)
      | midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f234,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X0,X2)
      | ~ coll(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1) ),
    inference(flattening,[],[f233]) ).

fof(f233,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X0,X2)
      | ~ coll(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1) ),
    inference(ennf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( coll(X4,X0,X2)
        & para(X3,X4,X1,X2)
        & midp(X3,X0,X1) )
     => midp(X4,X0,X2) ),
    inference(rectify,[],[f46]) ).

fof(f46,axiom,
    ! [X0,X1,X2,X4,X5] :
      ( ( coll(X5,X0,X2)
        & para(X4,X5,X1,X2)
        & midp(X4,X0,X1) )
     => midp(X5,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD45) ).

fof(f11164,plain,
    midp(sK4,sK4,sK4),
    inference(unit_resulting_resolution,[],[f9622,f667,f4529,f430]) ).

fof(f4529,plain,
    para(sK6,sK4,sK6,sK4),
    inference(unit_resulting_resolution,[],[f2075,f1429,f464]) ).

fof(f1429,plain,
    perp(sK11(sK6,sK6,sK6,sK4),sK6,sK6,sK4),
    inference(unit_resulting_resolution,[],[f1372,f413]) ).

fof(f2075,plain,
    perp(sK6,sK4,sK11(sK6,sK6,sK6,sK4),sK6),
    inference(unit_resulting_resolution,[],[f1429,f398]) ).

fof(f667,plain,
    coll(sK4,sK4,sK4),
    inference(unit_resulting_resolution,[],[f644,f644,f402]) ).

fof(f9622,plain,
    midp(sK6,sK4,sK6),
    inference(unit_resulting_resolution,[],[f741,f8518,f387]) ).

fof(f8518,plain,
    cong(sK6,sK4,sK6,sK6),
    inference(unit_resulting_resolution,[],[f1425,f8349,f465]) ).

fof(f465,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ cong(X2,X3,X4,X5)
      | cong(X0,X1,X4,X5)
      | ~ cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f283]) ).

fof(f283,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X4,X5)
      | ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3) ),
    inference(flattening,[],[f282]) ).

fof(f282,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X4,X5)
      | ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f25]) ).

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

fof(f8349,plain,
    cong(sK4,sK6,sK6,sK6),
    inference(unit_resulting_resolution,[],[f4891,f5670,f405]) ).

fof(f5670,plain,
    perp(sK4,sK6,sK6,sK7),
    inference(unit_resulting_resolution,[],[f377,f5611,f403]) ).

fof(f5611,plain,
    coll(sK8,sK4,sK7),
    inference(unit_resulting_resolution,[],[f5561,f383]) ).

fof(f5561,plain,
    coll(sK8,sK7,sK4),
    inference(unit_resulting_resolution,[],[f4765,f5542,f402]) ).

fof(f5542,plain,
    coll(sK4,sK4,sK8),
    inference(unit_resulting_resolution,[],[f5535,f5535,f402]) ).

fof(f5535,plain,
    coll(sK8,sK8,sK4),
    inference(unit_resulting_resolution,[],[f5521,f5521,f402]) ).

fof(f5521,plain,
    coll(sK4,sK8,sK8),
    inference(unit_resulting_resolution,[],[f4500,f385]) ).

fof(f385,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f174,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ para(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ! [X0,X1,X2] :
      ( para(X0,X1,X0,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).

fof(f4765,plain,
    coll(sK4,sK4,sK7),
    inference(unit_resulting_resolution,[],[f4744,f4744,f402]) ).

fof(f4744,plain,
    coll(sK7,sK4,sK4),
    inference(unit_resulting_resolution,[],[f4408,f385]) ).

fof(f4408,plain,
    para(sK7,sK4,sK7,sK4),
    inference(unit_resulting_resolution,[],[f376,f541,f464]) ).

fof(f541,plain,
    perp(sK7,sK5,sK7,sK4),
    inference(unit_resulting_resolution,[],[f376,f398]) ).

fof(f4891,plain,
    midp(sK6,sK4,sK7),
    inference(unit_resulting_resolution,[],[f1144,f4828,f387]) ).

fof(f4828,plain,
    coll(sK6,sK4,sK7),
    inference(unit_resulting_resolution,[],[f4780,f383]) ).

fof(f4780,plain,
    coll(sK6,sK7,sK4),
    inference(unit_resulting_resolution,[],[f629,f4765,f402]) ).

fof(f1144,plain,
    cong(sK6,sK4,sK6,sK7),
    inference(unit_resulting_resolution,[],[f1124,f399]) ).

fof(f1124,plain,
    cong(sK6,sK4,sK7,sK6),
    inference(unit_resulting_resolution,[],[f1109,f400]) ).

fof(f1109,plain,
    cong(sK7,sK6,sK6,sK4),
    inference(unit_resulting_resolution,[],[f1096,f399]) ).

fof(f1096,plain,
    cong(sK7,sK6,sK4,sK6),
    inference(unit_resulting_resolution,[],[f1089,f400]) ).

fof(f1089,plain,
    cong(sK4,sK6,sK7,sK6),
    inference(unit_resulting_resolution,[],[f497,f559,f405]) ).

fof(f559,plain,
    perp(sK4,sK7,sK7,sK5),
    inference(unit_resulting_resolution,[],[f548,f398]) ).

fof(f548,plain,
    perp(sK7,sK5,sK4,sK7),
    inference(unit_resulting_resolution,[],[f541,f397]) ).

fof(f741,plain,
    coll(sK6,sK4,sK6),
    inference(unit_resulting_resolution,[],[f634,f383]) ).

fof(f634,plain,
    coll(sK6,sK6,sK4),
    inference(unit_resulting_resolution,[],[f518,f518,f402]) ).

fof(f518,plain,
    coll(sK4,sK5,sK6),
    inference(unit_resulting_resolution,[],[f510,f383]) ).

fof(f510,plain,
    coll(sK4,sK6,sK5),
    inference(unit_resulting_resolution,[],[f502,f384]) ).

fof(f5536,plain,
    coll(sK8,sK4,sK8),
    inference(unit_resulting_resolution,[],[f5521,f384]) ).

fof(f9664,plain,
    para(sK4,sK4,sK4,sK6),
    inference(unit_resulting_resolution,[],[f1616,f9622,f429]) ).

fof(f429,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X2,X3)
      | para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f232,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X0,X2,X1,X3)
      | ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(flattening,[],[f231]) ).

fof(f231,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X0,X2,X1,X3)
      | ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(ennf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X2,X3)
        & midp(X4,X0,X1) )
     => para(X0,X2,X1,X3) ),
    inference(rectify,[],[f64]) ).

fof(f64,axiom,
    ! [X0,X1,X2,X3,X6] :
      ( ( midp(X6,X2,X3)
        & midp(X6,X0,X1) )
     => para(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD63) ).

fof(f9726,plain,
    para(sK4,sK6,sK4,sK4),
    inference(unit_resulting_resolution,[],[f1616,f9637,f429]) ).

fof(f9637,plain,
    midp(sK6,sK6,sK4),
    inference(unit_resulting_resolution,[],[f9622,f380]) ).

fof(f11353,plain,
    midp(sK7,sK4,sK6),
    inference(unit_resulting_resolution,[],[f4807,f4394,f11167,f430]) ).

fof(f11167,plain,
    midp(sK4,sK4,sK6),
    inference(unit_resulting_resolution,[],[f1616,f629,f4533,f430]) ).

fof(f4533,plain,
    para(sK6,sK4,sK4,sK6),
    inference(unit_resulting_resolution,[],[f2075,f2076,f464]) ).

fof(f2076,plain,
    perp(sK11(sK6,sK6,sK6,sK4),sK6,sK4,sK6),
    inference(unit_resulting_resolution,[],[f1429,f397]) ).

fof(f4394,plain,
    para(sK4,sK7,sK6,sK6),
    inference(unit_resulting_resolution,[],[f559,f1493,f464]) ).

fof(f4807,plain,
    coll(sK7,sK4,sK6),
    inference(unit_resulting_resolution,[],[f4776,f383]) ).

fof(f4776,plain,
    coll(sK7,sK6,sK4),
    inference(unit_resulting_resolution,[],[f629,f4765,f402]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : GEO607+1 : TPTP v8.2.0. Released v7.5.0.
% 0.11/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun May 19 14:14:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (3610)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (3613)WARNING: value z3 for option sas not known
% 0.14/0.38  % (3613)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (3615)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38  % (3614)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (3617)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38  % (3616)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38  % (3611)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (3612)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39  TRYING [1]
% 0.14/0.40  TRYING [2]
% 0.21/0.46  TRYING [3]
% 0.21/0.48  TRYING [1]
% 0.21/0.51  TRYING [2]
% 6.78/1.35  TRYING [1]
% 6.78/1.35  TRYING [2]
% 7.24/1.43  TRYING [3]
% 8.88/1.62  TRYING [3]
% 10.83/1.94  % (3617)First to succeed.
% 10.83/1.94  % (3617)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3610"
% 10.83/1.95  % (3617)Refutation found. Thanks to Tanya!
% 10.83/1.95  % SZS status Theorem for theBenchmark
% 10.83/1.95  % SZS output start Proof for theBenchmark
% See solution above
% 10.83/1.95  % (3617)------------------------------
% 10.83/1.95  % (3617)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 10.83/1.95  % (3617)Termination reason: Refutation
% 10.83/1.95  
% 10.83/1.95  % (3617)Memory used [KB]: 17213
% 10.83/1.95  % (3617)Time elapsed: 1.559 s
% 10.83/1.95  % (3617)Instructions burned: 2530 (million)
% 10.83/1.95  % (3610)Success in time 1.581 s
%------------------------------------------------------------------------------