TSTP Solution File: GEO547+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO547+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 : Tue Apr 30 20:18:13 EDT 2024

% Result   : Theorem 0.13s 0.43s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  117 (  18 unt;   0 def)
%            Number of atoms       :  267 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  249 (  99   ~;  94   |;  39   &)
%                                         (  12 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   16 (  15 usr;  13 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :  100 (  82   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] :
      ( coll(A,B,C)
     => coll(A,C,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B,C] :
      ( coll(A,B,C)
     => coll(B,A,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A,B,C,D] :
      ( ( coll(A,B,C)
        & coll(A,B,D) )
     => coll(C,D,A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f95,conjecture,
    ! [A,B,C,O,D,E,F,G,NWPNT1] :
      ( ( circle(O,A,B,C)
        & circle(O,A,D,NWPNT1)
        & perp(E,D,B,C)
        & coll(E,B,C)
        & perp(F,D,A,C)
        & coll(F,A,C)
        & perp(G,D,A,B)
        & coll(G,A,B) )
     => coll(E,F,G) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f96,negated_conjecture,
    ~ ! [A,B,C,O,D,E,F,G,NWPNT1] :
        ( ( circle(O,A,B,C)
          & circle(O,A,D,NWPNT1)
          & perp(E,D,B,C)
          & coll(E,B,C)
          & perp(F,D,A,C)
          & coll(F,A,C)
          & perp(G,D,A,B)
          & coll(G,A,B) )
       => coll(E,F,G) ),
    inference(negated_conjecture,[status(cth)],[f95]) ).

fof(f97,plain,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | coll(A,C,B) ),
    inference(pre_NNF_transformation,[status(esa)],[f1]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f97]) ).

fof(f99,plain,
    ! [A,B,C] :
      ( ~ coll(A,B,C)
      | coll(B,A,C) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f100,plain,
    ! [X0,X1,X2] :
      ( ~ coll(X0,X1,X2)
      | coll(X1,X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f99]) ).

fof(f101,plain,
    ! [A,B,C,D] :
      ( ~ coll(A,B,C)
      | ~ coll(A,B,D)
      | coll(C,D,A) ),
    inference(pre_NNF_transformation,[status(esa)],[f3]) ).

fof(f102,plain,
    ! [A,C,D] :
      ( ! [B] :
          ( ~ coll(A,B,C)
          | ~ coll(A,B,D) )
      | coll(C,D,A) ),
    inference(miniscoping,[status(esa)],[f101]) ).

fof(f103,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X0,X1,X2)
      | ~ coll(X0,X1,X3)
      | coll(X2,X3,X0) ),
    inference(cnf_transformation,[status(esa)],[f102]) ).

fof(f369,plain,
    ? [A,B,C,O,D,E,F,G,NWPNT1] :
      ( circle(O,A,B,C)
      & circle(O,A,D,NWPNT1)
      & perp(E,D,B,C)
      & coll(E,B,C)
      & perp(F,D,A,C)
      & coll(F,A,C)
      & perp(G,D,A,B)
      & coll(G,A,B)
      & ~ coll(E,F,G) ),
    inference(pre_NNF_transformation,[status(esa)],[f96]) ).

fof(f370,plain,
    ? [E,F,G] :
      ( ? [A,B] :
          ( ? [D] :
              ( ? [C] :
                  ( ? [O] :
                      ( circle(O,A,B,C)
                      & ? [NWPNT1] : circle(O,A,D,NWPNT1) )
                  & perp(E,D,B,C)
                  & coll(E,B,C)
                  & perp(F,D,A,C)
                  & coll(F,A,C) )
              & perp(G,D,A,B) )
          & coll(G,A,B) )
      & ~ coll(E,F,G) ),
    inference(miniscoping,[status(esa)],[f369]) ).

fof(f371,plain,
    ( circle(sk0_27,sk0_23,sk0_24,sk0_26)
    & circle(sk0_27,sk0_23,sk0_25,sk0_28)
    & perp(sk0_20,sk0_25,sk0_24,sk0_26)
    & coll(sk0_20,sk0_24,sk0_26)
    & perp(sk0_21,sk0_25,sk0_23,sk0_26)
    & coll(sk0_21,sk0_23,sk0_26)
    & perp(sk0_22,sk0_25,sk0_23,sk0_24)
    & coll(sk0_22,sk0_23,sk0_24)
    & ~ coll(sk0_20,sk0_21,sk0_22) ),
    inference(skolemization,[status(esa)],[f370]) ).

fof(f375,plain,
    coll(sk0_20,sk0_24,sk0_26),
    inference(cnf_transformation,[status(esa)],[f371]) ).

fof(f377,plain,
    coll(sk0_21,sk0_23,sk0_26),
    inference(cnf_transformation,[status(esa)],[f371]) ).

fof(f379,plain,
    coll(sk0_22,sk0_23,sk0_24),
    inference(cnf_transformation,[status(esa)],[f371]) ).

fof(f380,plain,
    ~ coll(sk0_20,sk0_21,sk0_22),
    inference(cnf_transformation,[status(esa)],[f371]) ).

fof(f381,plain,
    ~ coll(sk0_20,sk0_22,sk0_21),
    inference(resolution,[status(thm)],[f98,f380]) ).

fof(f383,plain,
    ~ coll(sk0_22,sk0_20,sk0_21),
    inference(resolution,[status(thm)],[f100,f381]) ).

fof(f386,plain,
    ~ coll(sk0_22,sk0_21,sk0_20),
    inference(resolution,[status(thm)],[f383,f98]) ).

fof(f393,plain,
    ! [X0] :
      ( ~ coll(sk0_22,sk0_23,X0)
      | coll(X0,sk0_24,sk0_22) ),
    inference(resolution,[status(thm)],[f103,f379]) ).

fof(f394,plain,
    ! [X0] :
      ( ~ coll(sk0_21,sk0_23,X0)
      | coll(X0,sk0_26,sk0_21) ),
    inference(resolution,[status(thm)],[f103,f377]) ).

fof(f395,plain,
    ! [X0] :
      ( ~ coll(sk0_20,sk0_24,X0)
      | coll(X0,sk0_26,sk0_20) ),
    inference(resolution,[status(thm)],[f103,f375]) ).

fof(f396,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X0,X1,X2)
      | coll(X2,X3,X0)
      | ~ coll(X1,X0,X3) ),
    inference(resolution,[status(thm)],[f103,f100]) ).

fof(f400,plain,
    ! [X0,X1] :
      ( ~ coll(sk0_22,sk0_23,X0)
      | ~ coll(X0,sk0_24,X1)
      | coll(X1,sk0_22,X0) ),
    inference(resolution,[status(thm)],[f393,f103]) ).

fof(f405,plain,
    ! [X0,X1] :
      ( ~ coll(sk0_21,sk0_23,X0)
      | ~ coll(X0,sk0_26,X1)
      | coll(X1,sk0_21,X0) ),
    inference(resolution,[status(thm)],[f394,f103]) ).

fof(f406,plain,
    ! [X0,X1] :
      ( ~ coll(sk0_20,sk0_24,X0)
      | ~ coll(X0,sk0_26,X1)
      | coll(X1,sk0_20,X0) ),
    inference(resolution,[status(thm)],[f395,f103]) ).

fof(f407,plain,
    ! [X0] :
      ( ~ coll(sk0_24,sk0_24,X0)
      | coll(X0,sk0_22,sk0_24) ),
    inference(resolution,[status(thm)],[f400,f379]) ).

fof(f411,plain,
    ! [X0] :
      ( ~ coll(sk0_26,sk0_26,X0)
      | coll(X0,sk0_21,sk0_26) ),
    inference(resolution,[status(thm)],[f405,f377]) ).

fof(f414,plain,
    ( spl0_0
  <=> coll(sk0_20,sk0_24,sk0_22) ),
    introduced(split_symbol_definition) ).

fof(f415,plain,
    ( coll(sk0_20,sk0_24,sk0_22)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f414]) ).

fof(f416,plain,
    ( ~ coll(sk0_20,sk0_24,sk0_22)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f414]) ).

fof(f422,plain,
    ( spl0_2
  <=> coll(sk0_20,sk0_24,sk0_21) ),
    introduced(split_symbol_definition) ).

fof(f423,plain,
    ( coll(sk0_20,sk0_24,sk0_21)
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f422]) ).

fof(f424,plain,
    ( ~ coll(sk0_20,sk0_24,sk0_21)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f422]) ).

fof(f432,plain,
    ( ~ coll(sk0_20,sk0_21,sk0_24)
    | spl0_2 ),
    inference(resolution,[status(thm)],[f424,f98]) ).

fof(f433,plain,
    ( ~ coll(sk0_22,sk0_23,sk0_20)
    | spl0_0 ),
    inference(resolution,[status(thm)],[f416,f393]) ).

fof(f443,plain,
    ( ~ coll(sk0_21,sk0_20,sk0_24)
    | spl0_2 ),
    inference(resolution,[status(thm)],[f432,f100]) ).

fof(f446,plain,
    ( ~ coll(sk0_22,sk0_20,sk0_23)
    | spl0_0 ),
    inference(resolution,[status(thm)],[f433,f98]) ).

fof(f459,plain,
    ( spl0_6
  <=> coll(sk0_20,sk0_24,sk0_24) ),
    introduced(split_symbol_definition) ).

fof(f461,plain,
    ( ~ coll(sk0_20,sk0_24,sk0_24)
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f459]) ).

fof(f462,plain,
    ( spl0_7
  <=> coll(sk0_24,sk0_26,sk0_21) ),
    introduced(split_symbol_definition) ).

fof(f464,plain,
    ( ~ coll(sk0_24,sk0_26,sk0_21)
    | spl0_7 ),
    inference(component_clause,[status(thm)],[f462]) ).

fof(f465,plain,
    ( ~ coll(sk0_20,sk0_24,sk0_24)
    | ~ coll(sk0_24,sk0_26,sk0_21)
    | spl0_2 ),
    inference(resolution,[status(thm)],[f443,f406]) ).

fof(f466,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f465,f459,f462,f422]) ).

fof(f475,plain,
    ( spl0_8
  <=> coll(sk0_20,sk0_24,sk0_23) ),
    introduced(split_symbol_definition) ).

fof(f477,plain,
    ( ~ coll(sk0_20,sk0_24,sk0_23)
    | spl0_8 ),
    inference(component_clause,[status(thm)],[f475]) ).

fof(f478,plain,
    ( spl0_9
  <=> coll(sk0_23,sk0_26,sk0_22) ),
    introduced(split_symbol_definition) ).

fof(f480,plain,
    ( ~ coll(sk0_23,sk0_26,sk0_22)
    | spl0_9 ),
    inference(component_clause,[status(thm)],[f478]) ).

fof(f481,plain,
    ( ~ coll(sk0_20,sk0_24,sk0_23)
    | ~ coll(sk0_23,sk0_26,sk0_22)
    | spl0_0 ),
    inference(resolution,[status(thm)],[f446,f406]) ).

fof(f482,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f481,f475,f478,f414]) ).

fof(f487,plain,
    ( ~ coll(sk0_24,sk0_21,sk0_26)
    | spl0_7 ),
    inference(resolution,[status(thm)],[f464,f98]) ).

fof(f493,plain,
    ( ~ coll(sk0_23,sk0_22,sk0_26)
    | spl0_9 ),
    inference(resolution,[status(thm)],[f480,f98]) ).

fof(f495,plain,
    ( ~ coll(sk0_20,sk0_23,sk0_24)
    | spl0_8 ),
    inference(resolution,[status(thm)],[f477,f98]) ).

fof(f507,plain,
    ( ~ coll(sk0_22,sk0_23,sk0_26)
    | spl0_9 ),
    inference(resolution,[status(thm)],[f493,f100]) ).

fof(f522,plain,
    ( ~ coll(sk0_26,sk0_26,sk0_24)
    | spl0_7 ),
    inference(resolution,[status(thm)],[f411,f487]) ).

fof(f574,plain,
    ! [X0] :
      ( ~ coll(sk0_23,sk0_22,X0)
      | coll(X0,sk0_24,sk0_23) ),
    inference(resolution,[status(thm)],[f396,f379]) ).

fof(f575,plain,
    ! [X0] :
      ( ~ coll(sk0_23,sk0_21,X0)
      | coll(X0,sk0_26,sk0_23) ),
    inference(resolution,[status(thm)],[f396,f377]) ).

fof(f576,plain,
    ! [X0] :
      ( ~ coll(sk0_24,sk0_20,X0)
      | coll(X0,sk0_26,sk0_24) ),
    inference(resolution,[status(thm)],[f396,f375]) ).

fof(f587,plain,
    ! [X0] :
      ( coll(X0,sk0_24,sk0_23)
      | ~ coll(sk0_22,sk0_23,X0) ),
    inference(resolution,[status(thm)],[f574,f100]) ).

fof(f591,plain,
    ! [X0] :
      ( coll(X0,sk0_26,sk0_23)
      | ~ coll(sk0_21,sk0_23,X0) ),
    inference(resolution,[status(thm)],[f575,f100]) ).

fof(f595,plain,
    coll(sk0_24,sk0_24,sk0_23),
    inference(resolution,[status(thm)],[f587,f379]) ).

fof(f601,plain,
    ! [X0] :
      ( ~ coll(sk0_24,sk0_24,X0)
      | coll(X0,sk0_23,sk0_24) ),
    inference(resolution,[status(thm)],[f595,f396]) ).

fof(f615,plain,
    coll(sk0_26,sk0_26,sk0_23),
    inference(resolution,[status(thm)],[f591,f377]) ).

fof(f620,plain,
    ! [X0] :
      ( ~ coll(sk0_26,sk0_26,X0)
      | coll(X0,sk0_23,sk0_26) ),
    inference(resolution,[status(thm)],[f615,f396]) ).

fof(f641,plain,
    coll(sk0_23,sk0_23,sk0_24),
    inference(resolution,[status(thm)],[f601,f595]) ).

fof(f646,plain,
    ! [X0] :
      ( ~ coll(sk0_23,sk0_23,X0)
      | coll(X0,sk0_24,sk0_23) ),
    inference(resolution,[status(thm)],[f641,f396]) ).

fof(f656,plain,
    coll(sk0_23,sk0_23,sk0_26),
    inference(resolution,[status(thm)],[f620,f615]) ).

fof(f660,plain,
    ( spl0_26
  <=> coll(sk0_24,sk0_20,sk0_26) ),
    introduced(split_symbol_definition) ).

fof(f662,plain,
    ( ~ coll(sk0_24,sk0_20,sk0_26)
    | spl0_26 ),
    inference(component_clause,[status(thm)],[f660]) ).

fof(f668,plain,
    ( spl0_28
  <=> coll(sk0_20,sk0_24,sk0_26) ),
    introduced(split_symbol_definition) ).

fof(f670,plain,
    ( ~ coll(sk0_20,sk0_24,sk0_26)
    | spl0_28 ),
    inference(component_clause,[status(thm)],[f668]) ).

fof(f680,plain,
    ( $false
    | spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f670,f375]) ).

fof(f681,plain,
    spl0_28,
    inference(contradiction_clause,[status(thm)],[f680]) ).

fof(f691,plain,
    ( spl0_31
  <=> coll(sk0_24,sk0_26,sk0_24) ),
    introduced(split_symbol_definition) ).

fof(f693,plain,
    ( ~ coll(sk0_24,sk0_26,sk0_24)
    | spl0_31 ),
    inference(component_clause,[status(thm)],[f691]) ).

fof(f704,plain,
    ( spl0_34
  <=> coll(sk0_24,sk0_20,sk0_24) ),
    introduced(split_symbol_definition) ).

fof(f706,plain,
    ( ~ coll(sk0_24,sk0_20,sk0_24)
    | spl0_34 ),
    inference(component_clause,[status(thm)],[f704]) ).

fof(f711,plain,
    coll(sk0_26,sk0_24,sk0_23),
    inference(resolution,[status(thm)],[f646,f656]) ).

fof(f715,plain,
    ! [X0] :
      ( ~ coll(sk0_24,sk0_26,X0)
      | coll(X0,sk0_23,sk0_24) ),
    inference(resolution,[status(thm)],[f711,f396]) ).

fof(f716,plain,
    ! [X0] :
      ( ~ coll(sk0_26,sk0_24,X0)
      | coll(X0,sk0_23,sk0_26) ),
    inference(resolution,[status(thm)],[f711,f103]) ).

fof(f851,plain,
    ! [X0] :
      ( coll(X0,sk0_23,sk0_24)
      | ~ coll(sk0_24,X0,sk0_26) ),
    inference(resolution,[status(thm)],[f715,f98]) ).

fof(f853,plain,
    ( spl0_41
  <=> coll(sk0_22,sk0_23,sk0_26) ),
    introduced(split_symbol_definition) ).

fof(f854,plain,
    ( coll(sk0_22,sk0_23,sk0_26)
    | ~ spl0_41 ),
    inference(component_clause,[status(thm)],[f853]) ).

fof(f859,plain,
    ! [X0] :
      ( coll(X0,sk0_23,sk0_26)
      | ~ coll(sk0_26,X0,sk0_24) ),
    inference(resolution,[status(thm)],[f716,f98]) ).

fof(f892,plain,
    ! [X0] :
      ( coll(X0,sk0_23,sk0_24)
      | ~ coll(X0,sk0_24,sk0_26) ),
    inference(resolution,[status(thm)],[f851,f100]) ).

fof(f908,plain,
    ( spl0_46
  <=> coll(sk0_24,sk0_24,sk0_26) ),
    introduced(split_symbol_definition) ).

fof(f910,plain,
    ( ~ coll(sk0_24,sk0_24,sk0_26)
    | spl0_46 ),
    inference(component_clause,[status(thm)],[f908]) ).

fof(f911,plain,
    ( coll(sk0_22,sk0_23,sk0_26)
    | ~ coll(sk0_24,sk0_24,sk0_26) ),
    inference(resolution,[status(thm)],[f859,f407]) ).

fof(f912,plain,
    ( spl0_41
    | ~ spl0_46 ),
    inference(split_clause,[status(thm)],[f911,f853,f908]) ).

fof(f953,plain,
    coll(sk0_20,sk0_23,sk0_24),
    inference(resolution,[status(thm)],[f892,f375]) ).

fof(f955,plain,
    ! [X0] :
      ( ~ coll(sk0_20,sk0_23,X0)
      | coll(X0,sk0_24,sk0_20) ),
    inference(resolution,[status(thm)],[f953,f103]) ).

fof(f995,plain,
    coll(sk0_24,sk0_24,sk0_20),
    inference(resolution,[status(thm)],[f955,f953]) ).

fof(f1033,plain,
    ( ~ coll(sk0_20,sk0_24,sk0_26)
    | spl0_26 ),
    inference(resolution,[status(thm)],[f662,f100]) ).

fof(f1034,plain,
    ( ~ spl0_28
    | spl0_26 ),
    inference(split_clause,[status(thm)],[f1033,f668,f660]) ).

fof(f1036,plain,
    ( ~ coll(sk0_24,sk0_20,sk0_26)
    | spl0_7 ),
    inference(resolution,[status(thm)],[f522,f576]) ).

fof(f1037,plain,
    ( ~ spl0_26
    | spl0_7 ),
    inference(split_clause,[status(thm)],[f1036,f660,f462]) ).

fof(f1043,plain,
    ( ~ coll(sk0_24,sk0_24,sk0_20)
    | spl0_34 ),
    inference(resolution,[status(thm)],[f706,f98]) ).

fof(f1044,plain,
    ( $false
    | spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1043,f995]) ).

fof(f1045,plain,
    spl0_34,
    inference(contradiction_clause,[status(thm)],[f1044]) ).

fof(f1046,plain,
    ( ~ coll(sk0_24,sk0_20,sk0_24)
    | spl0_31 ),
    inference(resolution,[status(thm)],[f693,f576]) ).

fof(f1047,plain,
    ( ~ spl0_34
    | spl0_31 ),
    inference(split_clause,[status(thm)],[f1046,f704,f691]) ).

fof(f1056,plain,
    ! [X0] :
      ( ~ coll(sk0_20,sk0_24,X0)
      | coll(X0,sk0_21,sk0_20)
      | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f423,f103]) ).

fof(f1070,plain,
    ( $false
    | spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f495,f953]) ).

fof(f1071,plain,
    spl0_8,
    inference(contradiction_clause,[status(thm)],[f1070]) ).

fof(f1075,plain,
    ( ~ coll(sk0_24,sk0_26,sk0_24)
    | spl0_46 ),
    inference(resolution,[status(thm)],[f910,f98]) ).

fof(f1076,plain,
    ( ~ spl0_31
    | spl0_46 ),
    inference(split_clause,[status(thm)],[f1075,f691,f908]) ).

fof(f1077,plain,
    ( $false
    | spl0_9
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[status(thm)],[f854,f507]) ).

fof(f1078,plain,
    ( spl0_9
    | ~ spl0_41 ),
    inference(contradiction_clause,[status(thm)],[f1077]) ).

fof(f1079,plain,
    ( ~ coll(sk0_24,sk0_20,sk0_24)
    | spl0_6 ),
    inference(resolution,[status(thm)],[f461,f100]) ).

fof(f1080,plain,
    ( ~ spl0_34
    | spl0_6 ),
    inference(split_clause,[status(thm)],[f1079,f704,f459]) ).

fof(f1130,plain,
    ( coll(sk0_22,sk0_21,sk0_20)
    | ~ spl0_2
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f1056,f415]) ).

fof(f1131,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1130,f386]) ).

fof(f1132,plain,
    ( ~ spl0_2
    | ~ spl0_0 ),
    inference(contradiction_clause,[status(thm)],[f1131]) ).

fof(f1133,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f466,f482,f681,f912,f1034,f1037,f1045,f1047,f1071,f1076,f1078,f1080,f1132]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GEO547+1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Apr 30 01:28:58 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.13/0.43  % Refutation found
% 0.13/0.43  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.43  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.44  % Elapsed time: 0.091997 seconds
% 0.20/0.44  % CPU time: 0.582006 seconds
% 0.20/0.44  % Total memory used: 59.242 MB
% 0.20/0.44  % Net memory used: 58.639 MB
%------------------------------------------------------------------------------