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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SYO630-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n008.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 : Thu Sep 24 03:42:51 PM UTC 2026

% Result   : Unsatisfiable 0.09s 0.40s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   80 (  13 unt;   0 def)
%            Number of atoms       :  217 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  234 (  97   ~; 137   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   6 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :  194 ( 194   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [E,A,LE] :
      ( 'LE'(f(A),s(s(s(s(s('0'))))))
      | 'E'(s(s(s(s(s('0'))))),f(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A_2] : iLEQ(A_2,g(A_2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A_14] : iLEQ(A_14,A_14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [E,A_8] : ~ 'E'(f(A_8),f(g(A_8))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [LE,A_13,B_8,E] :
      ( 'LE'(f(B_8),'0')
      | 'E'('0',f(B_8))
      | ~ iLEQ(A_13,B_8)
      | ~ 'LE'(f(A_13),s('0')) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [LE,A_15] : ~ 'LE'(f(A_15),'0'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [E,A_2] :
      ( 'E'(f(A_2),f(g(A_2)))
      | ~ 'E'(s(s(s(s(s('0'))))),f(g(A_2)))
      | ~ 'E'(s(s(s(s(s('0'))))),f(A_2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [E,A_8] :
      ( 'E'(f(A_8),f(g(A_8)))
      | ~ 'E'(s(s(s('0'))),f(g(A_8)))
      | ~ 'E'(s(s(s('0'))),f(A_8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [E,A_11] :
      ( 'E'(f(A_11),f(g(A_11)))
      | ~ 'E'(s(s('0')),f(g(A_11)))
      | ~ 'E'(s(s('0')),f(A_11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [E,A_14] :
      ( 'E'(f(A_14),f(g(A_14)))
      | ~ 'E'(s('0'),f(g(A_14)))
      | ~ 'E'(s('0'),f(A_14)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [LE,A_7,B_4,E] :
      ( 'LE'(f(B_4),s(s('0')))
      | 'E'(s(s('0')),f(B_4))
      | ~ iLEQ(A_7,B_4)
      | ~ 'LE'(f(A_7),s(s(s('0')))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [LE,A_1,B_0,E] :
      ( 'LE'(f(B_0),s(s(s(s('0')))))
      | 'E'(s(s(s(s('0')))),f(B_0))
      | ~ iLEQ(A_1,B_0)
      | ~ 'LE'(f(A_1),s(s(s(s(s('0')))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [LE,A_4,B_2,E] :
      ( 'LE'(f(B_2),s(s(s('0'))))
      | 'E'(s(s(s('0'))),f(B_2))
      | ~ iLEQ(A_4,B_2)
      | ~ 'LE'(f(A_4),s(s(s(s('0'))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ! [E,A_15] :
      ( 'E'(f(A_15),f(g(A_15)))
      | ~ 'E'('0',f(g(A_15)))
      | ~ 'E'('0',f(A_15)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    ! [E,A_5] :
      ( 'E'(f(A_5),f(g(A_5)))
      | ~ 'E'(s(s(s(s('0')))),f(g(A_5)))
      | ~ 'E'(s(s(s(s('0')))),f(A_5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,axiom,
    ! [LE,A_10,B_6,E] :
      ( 'LE'(f(B_6),s('0'))
      | 'E'(s('0'),f(B_6))
      | ~ iLEQ(A_10,B_6)
      | ~ 'LE'(f(A_10),s(s('0'))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,plain,
    ! [A] :
      ( 'LE'(f(A),s(s(s(s(s('0'))))))
      | 'E'(s(s(s(s(s('0'))))),f(A)) ),
    inference(miniscoping,[status(thm)],[f1]) ).

fof(f34,plain,
    ! [E,X0,LE] :
      ( 'LE'(f(X0),s(s(s(s(s('0'))))))
      | 'E'(s(s(s(s(s('0'))))),f(X0)) ),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f35,plain,
    ! [X0] : iLEQ(X0,g(X0)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f37,plain,
    ! [X0] : iLEQ(X0,X0),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f38,plain,
    ! [A_8] : ~ 'E'(f(A_8),f(g(A_8))),
    inference(miniscoping,[status(thm)],[f5]) ).

fof(f39,plain,
    ! [E,X0] : ~ 'E'(f(X0),f(g(X0))),
    inference(cnf_transformation,[status(thm)],[f38]) ).

fof(f40,plain,
    ! [B_8] :
      ( 'LE'(f(B_8),'0')
      | 'E'('0',f(B_8))
      | ! [A_13] :
          ( ~ iLEQ(A_13,B_8)
          | ~ 'LE'(f(A_13),s('0')) ) ),
    inference(miniscoping,[status(thm)],[f6]) ).

fof(f41,plain,
    ! [LE,X0,X1,E] :
      ( 'LE'(f(X1),'0')
      | 'E'('0',f(X1))
      | ~ iLEQ(X0,X1)
      | ~ 'LE'(f(X0),s('0')) ),
    inference(cnf_transformation,[status(thm)],[f40]) ).

fof(f42,plain,
    ! [A_15] : ~ 'LE'(f(A_15),'0'),
    inference(miniscoping,[status(thm)],[f7]) ).

fof(f43,plain,
    ! [LE,X0] : ~ 'LE'(f(X0),'0'),
    inference(cnf_transformation,[status(thm)],[f42]) ).

fof(f47,plain,
    ! [A_2] :
      ( 'E'(f(A_2),f(g(A_2)))
      | ~ 'E'(s(s(s(s(s('0'))))),f(g(A_2)))
      | ~ 'E'(s(s(s(s(s('0'))))),f(A_2)) ),
    inference(miniscoping,[status(thm)],[f10]) ).

fof(f48,plain,
    ! [E,X0] :
      ( 'E'(f(X0),f(g(X0)))
      | ~ 'E'(s(s(s(s(s('0'))))),f(g(X0)))
      | ~ 'E'(s(s(s(s(s('0'))))),f(X0)) ),
    inference(cnf_transformation,[status(thm)],[f47]) ).

fof(f49,plain,
    ! [A_8] :
      ( 'E'(f(A_8),f(g(A_8)))
      | ~ 'E'(s(s(s('0'))),f(g(A_8)))
      | ~ 'E'(s(s(s('0'))),f(A_8)) ),
    inference(miniscoping,[status(thm)],[f11]) ).

fof(f50,plain,
    ! [E,X0] :
      ( 'E'(f(X0),f(g(X0)))
      | ~ 'E'(s(s(s('0'))),f(g(X0)))
      | ~ 'E'(s(s(s('0'))),f(X0)) ),
    inference(cnf_transformation,[status(thm)],[f49]) ).

fof(f51,plain,
    ! [A_11] :
      ( 'E'(f(A_11),f(g(A_11)))
      | ~ 'E'(s(s('0')),f(g(A_11)))
      | ~ 'E'(s(s('0')),f(A_11)) ),
    inference(miniscoping,[status(thm)],[f12]) ).

fof(f52,plain,
    ! [E,X0] :
      ( 'E'(f(X0),f(g(X0)))
      | ~ 'E'(s(s('0')),f(g(X0)))
      | ~ 'E'(s(s('0')),f(X0)) ),
    inference(cnf_transformation,[status(thm)],[f51]) ).

fof(f53,plain,
    ! [A_14] :
      ( 'E'(f(A_14),f(g(A_14)))
      | ~ 'E'(s('0'),f(g(A_14)))
      | ~ 'E'(s('0'),f(A_14)) ),
    inference(miniscoping,[status(thm)],[f13]) ).

fof(f54,plain,
    ! [E,X0] :
      ( 'E'(f(X0),f(g(X0)))
      | ~ 'E'(s('0'),f(g(X0)))
      | ~ 'E'(s('0'),f(X0)) ),
    inference(cnf_transformation,[status(thm)],[f53]) ).

fof(f57,plain,
    ! [B_4] :
      ( 'LE'(f(B_4),s(s('0')))
      | 'E'(s(s('0')),f(B_4))
      | ! [A_7] :
          ( ~ iLEQ(A_7,B_4)
          | ~ 'LE'(f(A_7),s(s(s('0')))) ) ),
    inference(miniscoping,[status(thm)],[f15]) ).

fof(f58,plain,
    ! [LE,X0,X1,E] :
      ( 'LE'(f(X1),s(s('0')))
      | 'E'(s(s('0')),f(X1))
      | ~ iLEQ(X0,X1)
      | ~ 'LE'(f(X0),s(s(s('0')))) ),
    inference(cnf_transformation,[status(thm)],[f57]) ).

fof(f59,plain,
    ! [B_0] :
      ( 'LE'(f(B_0),s(s(s(s('0')))))
      | 'E'(s(s(s(s('0')))),f(B_0))
      | ! [A_1] :
          ( ~ iLEQ(A_1,B_0)
          | ~ 'LE'(f(A_1),s(s(s(s(s('0')))))) ) ),
    inference(miniscoping,[status(thm)],[f16]) ).

fof(f60,plain,
    ! [LE,X0,X1,E] :
      ( 'LE'(f(X1),s(s(s(s('0')))))
      | 'E'(s(s(s(s('0')))),f(X1))
      | ~ iLEQ(X0,X1)
      | ~ 'LE'(f(X0),s(s(s(s(s('0')))))) ),
    inference(cnf_transformation,[status(thm)],[f59]) ).

fof(f61,plain,
    ! [B_2] :
      ( 'LE'(f(B_2),s(s(s('0'))))
      | 'E'(s(s(s('0'))),f(B_2))
      | ! [A_4] :
          ( ~ iLEQ(A_4,B_2)
          | ~ 'LE'(f(A_4),s(s(s(s('0'))))) ) ),
    inference(miniscoping,[status(thm)],[f17]) ).

fof(f62,plain,
    ! [LE,X0,X1,E] :
      ( 'LE'(f(X1),s(s(s('0'))))
      | 'E'(s(s(s('0'))),f(X1))
      | ~ iLEQ(X0,X1)
      | ~ 'LE'(f(X0),s(s(s(s('0'))))) ),
    inference(cnf_transformation,[status(thm)],[f61]) ).

fof(f70,plain,
    ! [A_15] :
      ( 'E'(f(A_15),f(g(A_15)))
      | ~ 'E'('0',f(g(A_15)))
      | ~ 'E'('0',f(A_15)) ),
    inference(miniscoping,[status(thm)],[f24]) ).

fof(f71,plain,
    ! [E,X0] :
      ( 'E'(f(X0),f(g(X0)))
      | ~ 'E'('0',f(g(X0)))
      | ~ 'E'('0',f(X0)) ),
    inference(cnf_transformation,[status(thm)],[f70]) ).

fof(f79,plain,
    ! [A_5] :
      ( 'E'(f(A_5),f(g(A_5)))
      | ~ 'E'(s(s(s(s('0')))),f(g(A_5)))
      | ~ 'E'(s(s(s(s('0')))),f(A_5)) ),
    inference(miniscoping,[status(thm)],[f30]) ).

fof(f80,plain,
    ! [E,X0] :
      ( 'E'(f(X0),f(g(X0)))
      | ~ 'E'(s(s(s(s('0')))),f(g(X0)))
      | ~ 'E'(s(s(s(s('0')))),f(X0)) ),
    inference(cnf_transformation,[status(thm)],[f79]) ).

fof(f83,plain,
    ! [B_6] :
      ( 'LE'(f(B_6),s('0'))
      | 'E'(s('0'),f(B_6))
      | ! [A_10] :
          ( ~ iLEQ(A_10,B_6)
          | ~ 'LE'(f(A_10),s(s('0'))) ) ),
    inference(miniscoping,[status(thm)],[f32]) ).

fof(f84,plain,
    ! [LE,X0,X1,E] :
      ( 'LE'(f(X1),s('0'))
      | 'E'(s('0'),f(X1))
      | ~ iLEQ(X0,X1)
      | ~ 'LE'(f(X0),s(s('0'))) ),
    inference(cnf_transformation,[status(thm)],[f83]) ).

fof(f85,plain,
    ! [X0,X1,E,LE] :
      ( 'E'(s(s(s(s(s('0'))))),f(X0))
      | 'LE'(f(X1),s(s(s(s('0')))))
      | 'E'(s(s(s(s('0')))),f(X1))
      | ~ iLEQ(X0,X1) ),
    inference(resolution,[status(thm)],[f60,f34]) ).

fof(f86,plain,
    ! [E,X0,LE] :
      ( 'E'(s(s(s(s(s('0'))))),f(X0))
      | 'LE'(f(g(X0)),s(s(s(s('0')))))
      | 'E'(s(s(s(s('0')))),f(g(X0))) ),
    inference(resolution,[status(thm)],[f85,f35]) ).

fof(f87,plain,
    ! [E,X0,LE] :
      ( 'E'(s(s(s(s(s('0'))))),f(X0))
      | 'LE'(f(X0),s(s(s(s('0')))))
      | 'E'(s(s(s(s('0')))),f(X0)) ),
    inference(resolution,[status(thm)],[f85,f37]) ).

fof(f102,plain,
    ! [LE,X0,X1,E] :
      ( 'E'('0',f(X1))
      | ~ iLEQ(X0,X1)
      | ~ 'LE'(f(X0),s('0')) ),
    inference(backward_subsumption_resolution,[status(thm)],[f41,f43]) ).

fof(f106,plain,
    ! [E,X0] :
      ( ~ 'E'(s(s(s(s(s('0'))))),f(g(X0)))
      | ~ 'E'(s(s(s(s(s('0'))))),f(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f48,f39]) ).

fof(f112,plain,
    ! [E,X0,LE] :
      ( 'LE'(f(g(X0)),s(s(s(s('0')))))
      | 'E'(s(s(s(s('0')))),f(g(X0)))
      | ~ 'E'(s(s(s(s(s('0'))))),f(X0)) ),
    inference(resolution,[status(thm)],[f106,f87]) ).

fof(f113,plain,
    ! [E,X0,LE] :
      ( 'LE'(f(g(X0)),s(s(s(s('0')))))
      | 'E'(s(s(s(s('0')))),f(g(X0))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f112,f86]) ).

fof(f114,plain,
    ! [E,X0] :
      ( ~ 'E'(s(s(s('0'))),f(g(X0)))
      | ~ 'E'(s(s(s('0'))),f(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f50,f39]) ).

fof(f115,plain,
    ! [E,X0,X1,LE] :
      ( 'LE'(f(X1),s(s(s('0'))))
      | 'E'(s(s(s('0'))),f(X1))
      | ~ iLEQ(g(X0),X1)
      | 'E'(s(s(s(s('0')))),f(g(X0))) ),
    inference(resolution,[status(thm)],[f113,f62]) ).

fof(f116,plain,
    ! [E,X0,LE] :
      ( 'LE'(f(g(g(X0))),s(s(s('0'))))
      | 'E'(s(s(s('0'))),f(g(g(X0))))
      | 'E'(s(s(s(s('0')))),f(g(X0))) ),
    inference(resolution,[status(thm)],[f115,f35]) ).

fof(f117,plain,
    ! [E,X0,LE] :
      ( 'LE'(f(g(X0)),s(s(s('0'))))
      | 'E'(s(s(s('0'))),f(g(X0)))
      | 'E'(s(s(s(s('0')))),f(g(X0))) ),
    inference(resolution,[status(thm)],[f115,f37]) ).

fof(f132,plain,
    ! [E,X0] :
      ( ~ 'E'(s(s('0')),f(g(X0)))
      | ~ 'E'(s(s('0')),f(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f52,f39]) ).

fof(f135,plain,
    ! [E,X0] :
      ( ~ 'E'('0',f(g(X0)))
      | ~ 'E'('0',f(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f71,f39]) ).

fof(f136,plain,
    ! [E,X0] :
      ( ~ 'E'(s('0'),f(g(X0)))
      | ~ 'E'(s('0'),f(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f54,f39]) ).

fof(f137,plain,
    ! [E,X0] :
      ( ~ 'E'(s(s(s(s('0')))),f(g(X0)))
      | ~ 'E'(s(s(s(s('0')))),f(X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f80,f39]) ).

fof(f142,plain,
    ! [E,X0,LE] :
      ( 'LE'(f(g(X0)),s(s(s('0'))))
      | 'E'(s(s(s('0'))),f(g(X0)))
      | ~ 'E'(s(s(s(s('0')))),f(X0)) ),
    inference(resolution,[status(thm)],[f137,f117]) ).

fof(f143,plain,
    ! [E,X0,LE] :
      ( 'LE'(f(g(g(X0))),s(s(s('0'))))
      | 'E'(s(s(s('0'))),f(g(g(X0)))) ),
    inference(backward_subsumption_resolution,[status(thm)],[f116,f142]) ).

fof(f153,plain,
    ! [E,X0,X1,LE] :
      ( 'LE'(f(X1),s(s('0')))
      | 'E'(s(s('0')),f(X1))
      | ~ iLEQ(g(g(X0)),X1)
      | 'E'(s(s(s('0'))),f(g(g(X0)))) ),
    inference(resolution,[status(thm)],[f143,f58]) ).

fof(f154,plain,
    ! [E,X0,LE] :
      ( 'LE'(f(g(g(g(X0)))),s(s('0')))
      | 'E'(s(s('0')),f(g(g(g(X0)))))
      | 'E'(s(s(s('0'))),f(g(g(X0)))) ),
    inference(resolution,[status(thm)],[f153,f35]) ).

fof(f155,plain,
    ! [E,X0,LE] :
      ( 'LE'(f(g(g(X0))),s(s('0')))
      | 'E'(s(s('0')),f(g(g(X0))))
      | 'E'(s(s(s('0'))),f(g(g(X0)))) ),
    inference(resolution,[status(thm)],[f153,f37]) ).

fof(f157,plain,
    ! [E,X0,LE] :
      ( ~ 'E'(s(s(s('0'))),f(g(X0)))
      | 'LE'(f(g(g(X0))),s(s('0')))
      | 'E'(s(s('0')),f(g(g(X0)))) ),
    inference(resolution,[status(thm)],[f155,f114]) ).

fof(f158,plain,
    ! [E,X0,LE] :
      ( 'LE'(f(g(g(g(X0)))),s(s('0')))
      | 'E'(s(s('0')),f(g(g(g(X0))))) ),
    inference(backward_subsumption_resolution,[status(thm)],[f154,f157]) ).

fof(f160,plain,
    ! [E,X0,X1,LE] :
      ( 'LE'(f(X1),s('0'))
      | 'E'(s('0'),f(X1))
      | ~ iLEQ(g(g(g(X0))),X1)
      | 'E'(s(s('0')),f(g(g(g(X0))))) ),
    inference(resolution,[status(thm)],[f158,f84]) ).

fof(f161,plain,
    ! [E,X0,LE] :
      ( 'LE'(f(g(g(g(g(X0))))),s('0'))
      | 'E'(s('0'),f(g(g(g(g(X0))))))
      | 'E'(s(s('0')),f(g(g(g(X0))))) ),
    inference(resolution,[status(thm)],[f160,f35]) ).

fof(f162,plain,
    ! [E,X0,LE] :
      ( 'LE'(f(g(g(g(X0)))),s('0'))
      | 'E'(s('0'),f(g(g(g(X0)))))
      | 'E'(s(s('0')),f(g(g(g(X0))))) ),
    inference(resolution,[status(thm)],[f160,f37]) ).

fof(f163,plain,
    ! [E,X0,LE] :
      ( ~ 'E'(s(s('0')),f(g(g(X0))))
      | 'LE'(f(g(g(g(X0)))),s('0'))
      | 'E'(s('0'),f(g(g(g(X0))))) ),
    inference(resolution,[status(thm)],[f162,f132]) ).

fof(f166,plain,
    ! [E,X0,LE] :
      ( 'LE'(f(g(g(g(g(X0))))),s('0'))
      | 'E'(s('0'),f(g(g(g(g(X0)))))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f161,f163]) ).

fof(f167,plain,
    ! [E,X0,X1] :
      ( 'E'('0',f(X1))
      | ~ iLEQ(g(g(g(g(X0)))),X1)
      | 'E'(s('0'),f(g(g(g(g(X0)))))) ),
    inference(resolution,[status(thm)],[f166,f102]) ).

fof(f168,plain,
    ! [E,X0] :
      ( 'E'('0',f(g(g(g(g(g(X0)))))))
      | 'E'(s('0'),f(g(g(g(g(X0)))))) ),
    inference(resolution,[status(thm)],[f167,f35]) ).

fof(f169,plain,
    ! [E,X0] :
      ( 'E'('0',f(g(g(g(g(X0))))))
      | 'E'(s('0'),f(g(g(g(g(X0)))))) ),
    inference(resolution,[status(thm)],[f167,f37]) ).

fof(f170,plain,
    ! [E,X0] :
      ( ~ 'E'(s('0'),f(g(g(g(X0)))))
      | 'E'('0',f(g(g(g(g(X0)))))) ),
    inference(resolution,[status(thm)],[f169,f136]) ).

fof(f172,plain,
    ! [E,X0] : 'E'('0',f(g(g(g(g(g(X0))))))),
    inference(backward_subsumption_resolution,[status(thm)],[f168,f170]) ).

fof(f174,plain,
    ! [E,X0] : ~ 'E'('0',f(g(g(g(g(X0)))))),
    inference(resolution,[status(thm)],[f172,f135]) ).

fof(f178,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f172,f174]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO630-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n008.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 12:06:53 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  % Drodi V4.1.1
% 0.09/0.40  % Refutation found
% 0.09/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42  % Elapsed time: 0.047126 seconds
% 0.09/0.42  % CPU time: 0.158485 seconds
% 0.09/0.42  % Total memory used: 4.384 MB
% 0.09/0.42  % Net memory used: 4.063 MB
%------------------------------------------------------------------------------