TSTP Solution File: GEO555+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO555+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 20:18:15 EDT 2024

% Result   : Theorem 5.62s 1.11s
% Output   : CNFRefutation 5.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   88 (  11 unt;   0 def)
%            Number of atoms       :  266 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  282 ( 104   ~;  87   |;  73   &)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-8 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :  410 ( 390   !;  20   ?)

% 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(f5,axiom,
    ! [A,B,C,D] :
      ( para(A,B,C,D)
     => para(C,D,A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A,B,C,D,E,F] :
      ( ( para(A,B,C,D)
        & para(C,D,E,F) )
     => para(A,B,E,F) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [A,B,C,D] :
      ( perp(A,B,C,D)
     => perp(C,D,A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [A,B,C,D,E,F] :
      ( ( perp(A,B,C,D)
        & perp(C,D,E,F) )
     => para(A,B,E,F) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [A,B,C,D] :
      ( cyclic(A,B,C,D)
     => cyclic(A,B,D,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [A,B,C,D] :
      ( cyclic(A,B,C,D)
     => cyclic(A,C,B,D) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [A,B,C,D] :
      ( cyclic(A,B,C,D)
     => cyclic(B,A,C,D) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [A,B,C,D,E] :
      ( ( cyclic(A,B,C,D)
        & cyclic(A,B,C,E) )
     => cyclic(B,C,D,E) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [A,B,C,D,P,Q,U,V] :
      ( eqangle(A,B,C,D,P,Q,U,V)
     => eqangle(C,D,A,B,U,V,P,Q) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f39,axiom,
    ! [A,B,C,D,P,Q] :
      ( eqangle(A,B,P,Q,C,D,P,Q)
     => para(A,B,C,D) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,axiom,
    ! [A,B,C,D,P,Q] :
      ( para(A,B,C,D)
     => eqangle(A,B,P,Q,C,D,P,Q) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f43,axiom,
    ! [A,B,P,Q] :
      ( ( eqangle(P,A,P,B,Q,A,Q,B)
        & coll(P,Q,B) )
     => cyclic(A,B,P,Q) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f67,axiom,
    ! [A,B,C] :
      ( para(A,B,A,C)
     => coll(A,B,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f96,negated_conjecture,
    ~ ! [A,B,C,D,E,F,G,H,K,I] :
        ( ( perp(D,A,B,C)
          & coll(D,B,C)
          & perp(E,B,A,C)
          & coll(E,A,C)
          & perp(F,C,A,B)
          & coll(F,A,B)
          & perp(G,F,B,C)
          & coll(G,B,C)
          & perp(H,F,A,C)
          & coll(H,A,C)
          & perp(K,E,A,B)
          & coll(K,A,B)
          & perp(I,D,A,B)
          & coll(I,A,B) )
       => cyclic(H,K,I,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(f106,plain,
    ! [A,B,C,D] :
      ( ~ para(A,B,C,D)
      | para(C,D,A,B) ),
    inference(pre_NNF_transformation,[status(esa)],[f5]) ).

fof(f107,plain,
    ! [X0,X1,X2,X3] :
      ( ~ para(X0,X1,X2,X3)
      | para(X2,X3,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f106]) ).

fof(f108,plain,
    ! [A,B,C,D,E,F] :
      ( ~ para(A,B,C,D)
      | ~ para(C,D,E,F)
      | para(A,B,E,F) ),
    inference(pre_NNF_transformation,[status(esa)],[f6]) ).

fof(f109,plain,
    ! [A,B,E,F] :
      ( ! [C,D] :
          ( ~ para(A,B,C,D)
          | ~ para(C,D,E,F) )
      | para(A,B,E,F) ),
    inference(miniscoping,[status(esa)],[f108]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | ~ para(X2,X3,X4,X5)
      | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[status(esa)],[f109]) ).

fof(f113,plain,
    ! [A,B,C,D] :
      ( ~ perp(A,B,C,D)
      | perp(C,D,A,B) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f114,plain,
    ! [X0,X1,X2,X3] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f115,plain,
    ! [A,B,C,D,E,F] :
      ( ~ perp(A,B,C,D)
      | ~ perp(C,D,E,F)
      | para(A,B,E,F) ),
    inference(pre_NNF_transformation,[status(esa)],[f9]) ).

fof(f116,plain,
    ! [A,B,E,F] :
      ( ! [C,D] :
          ( ~ perp(A,B,C,D)
          | ~ perp(C,D,E,F) )
      | para(A,B,E,F) ),
    inference(miniscoping,[status(esa)],[f115]) ).

fof(f117,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5)
      | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[status(esa)],[f116]) ).

fof(f128,plain,
    ! [A,B,C,D] :
      ( ~ cyclic(A,B,C,D)
      | cyclic(A,B,D,C) ),
    inference(pre_NNF_transformation,[status(esa)],[f14]) ).

fof(f129,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X1,X3,X2) ),
    inference(cnf_transformation,[status(esa)],[f128]) ).

fof(f130,plain,
    ! [A,B,C,D] :
      ( ~ cyclic(A,B,C,D)
      | cyclic(A,C,B,D) ),
    inference(pre_NNF_transformation,[status(esa)],[f15]) ).

fof(f131,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X2,X1,X3) ),
    inference(cnf_transformation,[status(esa)],[f130]) ).

fof(f132,plain,
    ! [A,B,C,D] :
      ( ~ cyclic(A,B,C,D)
      | cyclic(B,A,C,D) ),
    inference(pre_NNF_transformation,[status(esa)],[f16]) ).

fof(f133,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X0,X2,X3) ),
    inference(cnf_transformation,[status(esa)],[f132]) ).

fof(f134,plain,
    ! [A,B,C,D,E] :
      ( ~ cyclic(A,B,C,D)
      | ~ cyclic(A,B,C,E)
      | cyclic(B,C,D,E) ),
    inference(pre_NNF_transformation,[status(esa)],[f17]) ).

fof(f135,plain,
    ! [B,C,D,E] :
      ( ! [A] :
          ( ~ cyclic(A,B,C,D)
          | ~ cyclic(A,B,C,E) )
      | cyclic(B,C,D,E) ),
    inference(miniscoping,[status(esa)],[f134]) ).

fof(f136,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[status(esa)],[f135]) ).

fof(f139,plain,
    ! [A,B,C,D,P,Q,U,V] :
      ( ~ eqangle(A,B,C,D,P,Q,U,V)
      | eqangle(C,D,A,B,U,V,P,Q) ),
    inference(pre_NNF_transformation,[status(esa)],[f19]) ).

fof(f140,plain,
    ! [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) ),
    inference(cnf_transformation,[status(esa)],[f139]) ).

fof(f184,plain,
    ! [A,B,C,D,P,Q] :
      ( ~ eqangle(A,B,P,Q,C,D,P,Q)
      | para(A,B,C,D) ),
    inference(pre_NNF_transformation,[status(esa)],[f39]) ).

fof(f185,plain,
    ! [A,B,C,D] :
      ( ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q)
      | para(A,B,C,D) ),
    inference(miniscoping,[status(esa)],[f184]) ).

fof(f186,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[status(esa)],[f185]) ).

fof(f187,plain,
    ! [A,B,C,D,P,Q] :
      ( ~ para(A,B,C,D)
      | eqangle(A,B,P,Q,C,D,P,Q) ),
    inference(pre_NNF_transformation,[status(esa)],[f40]) ).

fof(f188,plain,
    ! [A,B,C,D] :
      ( ~ para(A,B,C,D)
      | ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
    inference(miniscoping,[status(esa)],[f187]) ).

fof(f189,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[status(esa)],[f188]) ).

fof(f194,plain,
    ! [A,B,P,Q] :
      ( ~ eqangle(P,A,P,B,Q,A,Q,B)
      | ~ coll(P,Q,B)
      | cyclic(A,B,P,Q) ),
    inference(pre_NNF_transformation,[status(esa)],[f43]) ).

fof(f195,plain,
    ! [X0,X1,X2,X3] :
      ( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
      | ~ coll(X0,X3,X2)
      | cyclic(X1,X2,X0,X3) ),
    inference(cnf_transformation,[status(esa)],[f194]) ).

fof(f255,plain,
    ! [A,B,C] :
      ( ~ para(A,B,A,C)
      | coll(A,B,C) ),
    inference(pre_NNF_transformation,[status(esa)],[f67]) ).

fof(f256,plain,
    ! [X0,X1,X2] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f255]) ).

fof(f369,plain,
    ? [A,B,C,D,E,F,G,H,K,I] :
      ( perp(D,A,B,C)
      & coll(D,B,C)
      & perp(E,B,A,C)
      & coll(E,A,C)
      & perp(F,C,A,B)
      & coll(F,A,B)
      & perp(G,F,B,C)
      & coll(G,B,C)
      & perp(H,F,A,C)
      & coll(H,A,C)
      & perp(K,E,A,B)
      & coll(K,A,B)
      & perp(I,D,A,B)
      & coll(I,A,B)
      & ~ cyclic(H,K,I,G) ),
    inference(pre_NNF_transformation,[status(esa)],[f96]) ).

fof(f370,plain,
    ? [G,H,K,I] :
      ( ? [A,B] :
          ( ? [D] :
              ( ? [E] :
                  ( ? [C] :
                      ( ? [F] :
                          ( perp(D,A,B,C)
                          & coll(D,B,C)
                          & perp(E,B,A,C)
                          & coll(E,A,C)
                          & perp(F,C,A,B)
                          & coll(F,A,B)
                          & perp(G,F,B,C)
                          & coll(G,B,C)
                          & perp(H,F,A,C) )
                      & coll(H,A,C) )
                  & perp(K,E,A,B) )
              & coll(K,A,B)
              & perp(I,D,A,B) )
          & coll(I,A,B) )
      & ~ cyclic(H,K,I,G) ),
    inference(miniscoping,[status(esa)],[f369]) ).

fof(f371,plain,
    ( perp(sk0_26,sk0_24,sk0_25,sk0_28)
    & coll(sk0_26,sk0_25,sk0_28)
    & perp(sk0_27,sk0_25,sk0_24,sk0_28)
    & coll(sk0_27,sk0_24,sk0_28)
    & perp(sk0_29,sk0_28,sk0_24,sk0_25)
    & coll(sk0_29,sk0_24,sk0_25)
    & perp(sk0_20,sk0_29,sk0_25,sk0_28)
    & coll(sk0_20,sk0_25,sk0_28)
    & perp(sk0_21,sk0_29,sk0_24,sk0_28)
    & coll(sk0_21,sk0_24,sk0_28)
    & perp(sk0_22,sk0_27,sk0_24,sk0_25)
    & coll(sk0_22,sk0_24,sk0_25)
    & perp(sk0_23,sk0_26,sk0_24,sk0_25)
    & coll(sk0_23,sk0_24,sk0_25)
    & ~ cyclic(sk0_21,sk0_22,sk0_23,sk0_20) ),
    inference(skolemization,[status(esa)],[f370]) ).

fof(f372,plain,
    perp(sk0_26,sk0_24,sk0_25,sk0_28),
    inference(cnf_transformation,[status(esa)],[f371]) ).

fof(f380,plain,
    perp(sk0_21,sk0_29,sk0_24,sk0_28),
    inference(cnf_transformation,[status(esa)],[f371]) ).

fof(f386,plain,
    ~ cyclic(sk0_21,sk0_22,sk0_23,sk0_20),
    inference(cnf_transformation,[status(esa)],[f371]) ).

fof(f543,plain,
    ! [X0,X1,X2,X3] :
      ( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
      | ~ coll(X0,X3,X1)
      | cyclic(X2,X1,X0,X3) ),
    inference(resolution,[status(thm)],[f140,f195]) ).

fof(f635,plain,
    ! [X0,X1,X2] :
      ( ~ coll(X0,X0,X1)
      | cyclic(X2,X1,X0,X0)
      | ~ para(X0,X1,X0,X1) ),
    inference(resolution,[status(thm)],[f543,f189]) ).

fof(f687,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X2)
      | ~ para(X2,X1,X2,X1)
      | ~ coll(X1,X3,X2)
      | ~ coll(X1,X3,X2) ),
    inference(resolution,[status(thm)],[f635,f103]) ).

fof(f688,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X2)
      | ~ para(X2,X1,X2,X1)
      | ~ coll(X1,X3,X2) ),
    inference(duplicate_literals_removal,[status(esa)],[f687]) ).

fof(f762,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cyclic(X0,X1,X2,X2)
      | ~ coll(X1,X3,X2)
      | ~ perp(X2,X1,X4,X5)
      | ~ perp(X4,X5,X2,X1) ),
    inference(resolution,[status(thm)],[f688,f117]) ).

fof(f763,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cyclic(X0,X1,X2,X2)
      | ~ coll(X1,X3,X2)
      | ~ perp(X2,X1,X4,X5) ),
    inference(forward_subsumption_resolution,[status(thm)],[f762,f114]) ).

fof(f818,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ coll(X0,X1,X2)
      | ~ perp(X2,X0,X3,X4)
      | cyclic(X0,X5,X2,X2) ),
    inference(resolution,[status(thm)],[f763,f133]) ).

fof(f848,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ coll(X0,X1,X2)
      | ~ perp(X2,X0,X3,X4)
      | cyclic(X0,X2,X5,X2) ),
    inference(resolution,[status(thm)],[f818,f131]) ).

fof(f909,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ coll(X0,X1,X2)
      | ~ perp(X2,X0,X3,X4)
      | cyclic(X0,X2,X2,X5) ),
    inference(resolution,[status(thm)],[f848,f129]) ).

fof(f972,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ coll(X0,X1,X2)
      | ~ perp(X2,X0,X3,X4)
      | ~ cyclic(X0,X2,X2,X5)
      | cyclic(X2,X2,X5,X6) ),
    inference(resolution,[status(thm)],[f909,f136]) ).

fof(f973,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ coll(X0,X1,X2)
      | ~ perp(X2,X0,X3,X4)
      | cyclic(X2,X2,X5,X6) ),
    inference(forward_subsumption_resolution,[status(thm)],[f972,f909]) ).

fof(f1031,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ coll(X0,X1,X2)
      | ~ perp(X2,X0,X3,X4)
      | ~ cyclic(X2,X2,X5,X6)
      | cyclic(X2,X5,X6,X7) ),
    inference(resolution,[status(thm)],[f973,f136]) ).

fof(f1032,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ coll(X0,X1,X2)
      | ~ perp(X2,X0,X3,X4)
      | cyclic(X2,X5,X6,X7) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1031,f973]) ).

fof(f1151,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X0,X1,sk0_21)
      | ~ perp(sk0_21,X0,X2,X3) ),
    inference(resolution,[status(thm)],[f1032,f386]) ).

fof(f1174,plain,
    ! [X0,X1,X2,X3] :
      ( ~ perp(sk0_21,X0,X1,X2)
      | ~ coll(X0,sk0_21,X3) ),
    inference(resolution,[status(thm)],[f1151,f98]) ).

fof(f1192,plain,
    ! [X0,X1,X2,X3] :
      ( ~ perp(sk0_21,X0,X1,X2)
      | ~ coll(sk0_21,X0,X3) ),
    inference(resolution,[status(thm)],[f1174,f100]) ).

fof(f1202,plain,
    ! [X0] : ~ coll(sk0_21,sk0_29,X0),
    inference(resolution,[status(thm)],[f1192,f380]) ).

fof(f1209,plain,
    ! [X0] : ~ para(sk0_21,sk0_29,sk0_21,X0),
    inference(resolution,[status(thm)],[f1202,f256]) ).

fof(f1478,plain,
    ! [X0,X1,X2] : ~ eqangle(sk0_21,sk0_29,X0,X1,sk0_21,X2,X0,X1),
    inference(resolution,[status(thm)],[f1209,f186]) ).

fof(f3525,plain,
    ! [X0,X1,X2] : ~ eqangle(X0,X1,sk0_21,sk0_29,X0,X1,sk0_21,X2),
    inference(resolution,[status(thm)],[f1478,f140]) ).

fof(f4134,plain,
    ! [X0,X1] : ~ para(X0,X1,X0,X1),
    inference(resolution,[status(thm)],[f3525,f189]) ).

fof(f4138,plain,
    ! [X0,X1,X2,X3] :
      ( ~ para(X0,X1,X2,X3)
      | ~ para(X2,X3,X0,X1) ),
    inference(resolution,[status(thm)],[f4134,f110]) ).

fof(f4139,plain,
    ! [X0,X1,X2,X3] : ~ para(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[status(thm)],[f4138,f107]) ).

fof(f5217,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(forward_subsumption_resolution,[status(thm)],[f117,f4139]) ).

fof(f5218,plain,
    ! [X0,X1,X2,X3] : ~ perp(X0,X1,X2,X3),
    inference(backward_subsumption_resolution,[status(thm)],[f114,f5217]) ).

fof(f5227,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f372,f5218]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : GEO555+1 : TPTP v8.1.2. Released v7.5.0.
% 0.05/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n014.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Tue Apr 30 01:31:04 EDT 2024
% 0.10/0.33  % CPUTime  : 
% 0.10/0.34  % Drodi V3.6.0
% 5.62/1.11  % Refutation found
% 5.62/1.11  % SZS status Theorem for theBenchmark: Theorem is valid
% 5.62/1.11  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.62/1.14  % Elapsed time: 0.807181 seconds
% 5.62/1.14  % CPU time: 6.189094 seconds
% 5.62/1.14  % Total memory used: 108.977 MB
% 5.62/1.14  % Net memory used: 104.532 MB
%------------------------------------------------------------------------------