%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG028+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 11:47:49 AM UTC 2026
% Result : Theorem 0.08s 0.41s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of formulae : 141 ( 52 unt; 21 def)
% Number of atoms : 710 ( 564 equ)
% Maximal formula atoms : 216 ( 5 avg)
% Number of connectives : 707 ( 138 ~; 151 |; 397 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 216 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
( op(op(e5,e5),e5) = op(e5,op(e5,e5))
& op(op(e5,e5),e4) = op(e5,op(e5,e4))
& op(op(e5,e5),e3) = op(e5,op(e5,e3))
& op(op(e5,e5),e2) = op(e5,op(e5,e2))
& op(op(e5,e5),e1) = op(e5,op(e5,e1))
& op(op(e5,e5),e0) = op(e5,op(e5,e0))
& op(op(e5,e4),e5) = op(e5,op(e4,e5))
& op(op(e5,e4),e4) = op(e5,op(e4,e4))
& op(op(e5,e4),e3) = op(e5,op(e4,e3))
& op(op(e5,e4),e2) = op(e5,op(e4,e2))
& op(op(e5,e4),e1) = op(e5,op(e4,e1))
& op(op(e5,e4),e0) = op(e5,op(e4,e0))
& op(op(e5,e3),e5) = op(e5,op(e3,e5))
& op(op(e5,e3),e4) = op(e5,op(e3,e4))
& op(op(e5,e3),e3) = op(e5,op(e3,e3))
& op(op(e5,e3),e2) = op(e5,op(e3,e2))
& op(op(e5,e3),e1) = op(e5,op(e3,e1))
& op(op(e5,e3),e0) = op(e5,op(e3,e0))
& op(op(e5,e2),e5) = op(e5,op(e2,e5))
& op(op(e5,e2),e4) = op(e5,op(e2,e4))
& op(op(e5,e2),e3) = op(e5,op(e2,e3))
& op(op(e5,e2),e2) = op(e5,op(e2,e2))
& op(op(e5,e2),e1) = op(e5,op(e2,e1))
& op(op(e5,e2),e0) = op(e5,op(e2,e0))
& op(op(e5,e1),e5) = op(e5,op(e1,e5))
& op(op(e5,e1),e4) = op(e5,op(e1,e4))
& op(op(e5,e1),e3) = op(e5,op(e1,e3))
& op(op(e5,e1),e2) = op(e5,op(e1,e2))
& op(op(e5,e1),e1) = op(e5,op(e1,e1))
& op(op(e5,e1),e0) = op(e5,op(e1,e0))
& op(op(e5,e0),e5) = op(e5,op(e0,e5))
& op(op(e5,e0),e4) = op(e5,op(e0,e4))
& op(op(e5,e0),e3) = op(e5,op(e0,e3))
& op(op(e5,e0),e2) = op(e5,op(e0,e2))
& op(op(e5,e0),e1) = op(e5,op(e0,e1))
& op(op(e5,e0),e0) = op(e5,op(e0,e0))
& op(op(e4,e5),e5) = op(e4,op(e5,e5))
& op(op(e4,e5),e4) = op(e4,op(e5,e4))
& op(op(e4,e5),e3) = op(e4,op(e5,e3))
& op(op(e4,e5),e2) = op(e4,op(e5,e2))
& op(op(e4,e5),e1) = op(e4,op(e5,e1))
& op(op(e4,e5),e0) = op(e4,op(e5,e0))
& op(op(e4,e4),e5) = op(e4,op(e4,e5))
& op(op(e4,e4),e4) = op(e4,op(e4,e4))
& op(op(e4,e4),e3) = op(e4,op(e4,e3))
& op(op(e4,e4),e2) = op(e4,op(e4,e2))
& op(op(e4,e4),e1) = op(e4,op(e4,e1))
& op(op(e4,e4),e0) = op(e4,op(e4,e0))
& op(op(e4,e3),e5) = op(e4,op(e3,e5))
& op(op(e4,e3),e4) = op(e4,op(e3,e4))
& op(op(e4,e3),e3) = op(e4,op(e3,e3))
& op(op(e4,e3),e2) = op(e4,op(e3,e2))
& op(op(e4,e3),e1) = op(e4,op(e3,e1))
& op(op(e4,e3),e0) = op(e4,op(e3,e0))
& op(op(e4,e2),e5) = op(e4,op(e2,e5))
& op(op(e4,e2),e4) = op(e4,op(e2,e4))
& op(op(e4,e2),e3) = op(e4,op(e2,e3))
& op(op(e4,e2),e2) = op(e4,op(e2,e2))
& op(op(e4,e2),e1) = op(e4,op(e2,e1))
& op(op(e4,e2),e0) = op(e4,op(e2,e0))
& op(op(e4,e1),e5) = op(e4,op(e1,e5))
& op(op(e4,e1),e4) = op(e4,op(e1,e4))
& op(op(e4,e1),e3) = op(e4,op(e1,e3))
& op(op(e4,e1),e2) = op(e4,op(e1,e2))
& op(op(e4,e1),e1) = op(e4,op(e1,e1))
& op(op(e4,e1),e0) = op(e4,op(e1,e0))
& op(op(e4,e0),e5) = op(e4,op(e0,e5))
& op(op(e4,e0),e4) = op(e4,op(e0,e4))
& op(op(e4,e0),e3) = op(e4,op(e0,e3))
& op(op(e4,e0),e2) = op(e4,op(e0,e2))
& op(op(e4,e0),e1) = op(e4,op(e0,e1))
& op(op(e4,e0),e0) = op(e4,op(e0,e0))
& op(op(e3,e5),e5) = op(e3,op(e5,e5))
& op(op(e3,e5),e4) = op(e3,op(e5,e4))
& op(op(e3,e5),e3) = op(e3,op(e5,e3))
& op(op(e3,e5),e2) = op(e3,op(e5,e2))
& op(op(e3,e5),e1) = op(e3,op(e5,e1))
& op(op(e3,e5),e0) = op(e3,op(e5,e0))
& op(op(e3,e4),e5) = op(e3,op(e4,e5))
& op(op(e3,e4),e4) = op(e3,op(e4,e4))
& op(op(e3,e4),e3) = op(e3,op(e4,e3))
& op(op(e3,e4),e2) = op(e3,op(e4,e2))
& op(op(e3,e4),e1) = op(e3,op(e4,e1))
& op(op(e3,e4),e0) = op(e3,op(e4,e0))
& op(op(e3,e3),e5) = op(e3,op(e3,e5))
& op(op(e3,e3),e4) = op(e3,op(e3,e4))
& op(op(e3,e3),e3) = op(e3,op(e3,e3))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e2),e5) = op(e3,op(e2,e5))
& op(op(e3,e2),e4) = op(e3,op(e2,e4))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e3,e1),e5) = op(e3,op(e1,e5))
& op(op(e3,e1),e4) = op(e3,op(e1,e4))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e0),e5) = op(e3,op(e0,e5))
& op(op(e3,e0),e4) = op(e3,op(e0,e4))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e2,e5),e5) = op(e2,op(e5,e5))
& op(op(e2,e5),e4) = op(e2,op(e5,e4))
& op(op(e2,e5),e3) = op(e2,op(e5,e3))
& op(op(e2,e5),e2) = op(e2,op(e5,e2))
& op(op(e2,e5),e1) = op(e2,op(e5,e1))
& op(op(e2,e5),e0) = op(e2,op(e5,e0))
& op(op(e2,e4),e5) = op(e2,op(e4,e5))
& op(op(e2,e4),e4) = op(e2,op(e4,e4))
& op(op(e2,e4),e3) = op(e2,op(e4,e3))
& op(op(e2,e4),e2) = op(e2,op(e4,e2))
& op(op(e2,e4),e1) = op(e2,op(e4,e1))
& op(op(e2,e4),e0) = op(e2,op(e4,e0))
& op(op(e2,e3),e5) = op(e2,op(e3,e5))
& op(op(e2,e3),e4) = op(e2,op(e3,e4))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e2,e2),e5) = op(e2,op(e2,e5))
& op(op(e2,e2),e4) = op(e2,op(e2,e4))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e1),e5) = op(e2,op(e1,e5))
& op(op(e2,e1),e4) = op(e2,op(e1,e4))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e0),e5) = op(e2,op(e0,e5))
& op(op(e2,e0),e4) = op(e2,op(e0,e4))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e1,e5),e5) = op(e1,op(e5,e5))
& op(op(e1,e5),e4) = op(e1,op(e5,e4))
& op(op(e1,e5),e3) = op(e1,op(e5,e3))
& op(op(e1,e5),e2) = op(e1,op(e5,e2))
& op(op(e1,e5),e1) = op(e1,op(e5,e1))
& op(op(e1,e5),e0) = op(e1,op(e5,e0))
& op(op(e1,e4),e5) = op(e1,op(e4,e5))
& op(op(e1,e4),e4) = op(e1,op(e4,e4))
& op(op(e1,e4),e3) = op(e1,op(e4,e3))
& op(op(e1,e4),e2) = op(e1,op(e4,e2))
& op(op(e1,e4),e1) = op(e1,op(e4,e1))
& op(op(e1,e4),e0) = op(e1,op(e4,e0))
& op(op(e1,e3),e5) = op(e1,op(e3,e5))
& op(op(e1,e3),e4) = op(e1,op(e3,e4))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e2),e5) = op(e1,op(e2,e5))
& op(op(e1,e2),e4) = op(e1,op(e2,e4))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e1),e5) = op(e1,op(e1,e5))
& op(op(e1,e1),e4) = op(e1,op(e1,e4))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e0),e5) = op(e1,op(e0,e5))
& op(op(e1,e0),e4) = op(e1,op(e0,e4))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e0,e5),e5) = op(e0,op(e5,e5))
& op(op(e0,e5),e4) = op(e0,op(e5,e4))
& op(op(e0,e5),e3) = op(e0,op(e5,e3))
& op(op(e0,e5),e2) = op(e0,op(e5,e2))
& op(op(e0,e5),e1) = op(e0,op(e5,e1))
& op(op(e0,e5),e0) = op(e0,op(e5,e0))
& op(op(e0,e4),e5) = op(e0,op(e4,e5))
& op(op(e0,e4),e4) = op(e0,op(e4,e4))
& op(op(e0,e4),e3) = op(e0,op(e4,e3))
& op(op(e0,e4),e2) = op(e0,op(e4,e2))
& op(op(e0,e4),e1) = op(e0,op(e4,e1))
& op(op(e0,e4),e0) = op(e0,op(e4,e0))
& op(op(e0,e3),e5) = op(e0,op(e3,e5))
& op(op(e0,e3),e4) = op(e0,op(e3,e4))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e0,e2),e5) = op(e0,op(e2,e5))
& op(op(e0,e2),e4) = op(e0,op(e2,e4))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e0,e1),e5) = op(e0,op(e1,e5))
& op(op(e0,e1),e4) = op(e0,op(e1,e4))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e0),e5) = op(e0,op(e0,e5))
& op(op(e0,e0),e4) = op(e0,op(e0,e4))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e0) = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( e5 = op(op(op(op(e4,e4),e4),e4),e4)
& e3 = op(e4,e4)
& e2 = op(op(op(e4,e4),e4),e4)
& e1 = op(op(e4,e4),e4)
& e0 = op(op(op(op(e4,e4),e4),e4),op(e4,e4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,conjecture,
~ ( ~ ( op(e5,e5) = op(e5,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e0) = op(e0,e5)
& op(e4,e5) = op(e5,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e0) = op(e0,e4)
& op(e3,e5) = op(e5,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e0) = op(e0,e3)
& op(e2,e5) = op(e5,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e0) = op(e0,e2)
& op(e1,e5) = op(e5,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e0) = op(e0,e1)
& op(e0,e5) = op(e5,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e0) = op(e0,e0) )
& op(e5,e5) = op(e5,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e0) = op(e0,e5)
& op(e4,e5) = op(e5,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e0) = op(e0,e4)
& op(e3,e5) = op(e5,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e0) = op(e0,e3)
& op(e2,e5) = op(e5,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e0) = op(e0,e2)
& op(e1,e5) = op(e5,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e0) = op(e0,e1)
& op(e0,e5) = op(e5,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e0) = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ ~ ( ~ ( op(e5,e5) = op(e5,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e0) = op(e0,e5)
& op(e4,e5) = op(e5,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e0) = op(e0,e4)
& op(e3,e5) = op(e5,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e0) = op(e0,e3)
& op(e2,e5) = op(e5,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e0) = op(e0,e2)
& op(e1,e5) = op(e5,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e0) = op(e0,e1)
& op(e0,e5) = op(e5,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e0) = op(e0,e0) )
& op(e5,e5) = op(e5,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e0) = op(e0,e5)
& op(e4,e5) = op(e5,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e0) = op(e0,e4)
& op(e3,e5) = op(e5,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e0) = op(e0,e3)
& op(e2,e5) = op(e5,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e0) = op(e0,e2)
& op(e1,e5) = op(e5,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e0) = op(e0,e1)
& op(e0,e5) = op(e5,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e0) = op(e0,e0) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f114,plain,
op(op(e1,e4),e4) = op(e1,op(e4,e4)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f222,plain,
op(op(e4,e4),e4) = op(e4,op(e4,e4)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f552,plain,
e1 = op(op(e4,e4),e4),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f553,plain,
e2 = op(op(op(e4,e4),e4),e4),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f554,plain,
e3 = op(e4,e4),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f555,plain,
e5 = op(op(op(op(e4,e4),e4),e4),e4),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f556,plain,
( ( op(e5,e5) != op(e5,e5)
| op(e5,e4) != op(e4,e5)
| op(e5,e3) != op(e3,e5)
| op(e5,e2) != op(e2,e5)
| op(e5,e1) != op(e1,e5)
| op(e5,e0) != op(e0,e5)
| op(e4,e5) != op(e5,e4)
| op(e4,e4) != op(e4,e4)
| op(e4,e3) != op(e3,e4)
| op(e4,e2) != op(e2,e4)
| op(e4,e1) != op(e1,e4)
| op(e4,e0) != op(e0,e4)
| op(e3,e5) != op(e5,e3)
| op(e3,e4) != op(e4,e3)
| op(e3,e3) != op(e3,e3)
| op(e3,e2) != op(e2,e3)
| op(e3,e1) != op(e1,e3)
| op(e3,e0) != op(e0,e3)
| op(e2,e5) != op(e5,e2)
| op(e2,e4) != op(e4,e2)
| op(e2,e3) != op(e3,e2)
| op(e2,e2) != op(e2,e2)
| op(e2,e1) != op(e1,e2)
| op(e2,e0) != op(e0,e2)
| op(e1,e5) != op(e5,e1)
| op(e1,e4) != op(e4,e1)
| op(e1,e3) != op(e3,e1)
| op(e1,e2) != op(e2,e1)
| op(e1,e1) != op(e1,e1)
| op(e1,e0) != op(e0,e1)
| op(e0,e5) != op(e5,e0)
| op(e0,e4) != op(e4,e0)
| op(e0,e3) != op(e3,e0)
| op(e0,e2) != op(e2,e0)
| op(e0,e1) != op(e1,e0)
| op(e0,e0) != op(e0,e0) )
& op(e5,e5) = op(e5,e5)
& op(e5,e4) = op(e4,e5)
& op(e5,e3) = op(e3,e5)
& op(e5,e2) = op(e2,e5)
& op(e5,e1) = op(e1,e5)
& op(e5,e0) = op(e0,e5)
& op(e4,e5) = op(e5,e4)
& op(e4,e4) = op(e4,e4)
& op(e4,e3) = op(e3,e4)
& op(e4,e2) = op(e2,e4)
& op(e4,e1) = op(e1,e4)
& op(e4,e0) = op(e0,e4)
& op(e3,e5) = op(e5,e3)
& op(e3,e4) = op(e4,e3)
& op(e3,e3) = op(e3,e3)
& op(e3,e2) = op(e2,e3)
& op(e3,e1) = op(e1,e3)
& op(e3,e0) = op(e0,e3)
& op(e2,e5) = op(e5,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e3) = op(e3,e2)
& op(e2,e2) = op(e2,e2)
& op(e2,e1) = op(e1,e2)
& op(e2,e0) = op(e0,e2)
& op(e1,e5) = op(e5,e1)
& op(e1,e4) = op(e4,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e2) = op(e2,e1)
& op(e1,e1) = op(e1,e1)
& op(e1,e0) = op(e0,e1)
& op(e0,e5) = op(e5,e0)
& op(e0,e4) = op(e4,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e1) = op(e1,e0)
& op(e0,e0) = op(e0,e0) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f558,plain,
op(e0,e1) = op(e1,e0),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f559,plain,
op(e0,e2) = op(e2,e0),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f560,plain,
op(e0,e3) = op(e3,e0),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f561,plain,
op(e0,e4) = op(e4,e0),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f562,plain,
op(e0,e5) = op(e5,e0),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f565,plain,
op(e1,e2) = op(e2,e1),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f566,plain,
op(e1,e3) = op(e3,e1),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f567,plain,
op(e1,e4) = op(e4,e1),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f568,plain,
op(e1,e5) = op(e5,e1),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f572,plain,
op(e2,e3) = op(e3,e2),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f573,plain,
op(e2,e4) = op(e4,e2),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f574,plain,
op(e2,e5) = op(e5,e2),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f579,plain,
op(e3,e4) = op(e4,e3),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f580,plain,
op(e3,e5) = op(e5,e3),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f586,plain,
op(e4,e5) = op(e5,e4),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f593,plain,
( op(e5,e5) != op(e5,e5)
| op(e5,e4) != op(e4,e5)
| op(e5,e3) != op(e3,e5)
| op(e5,e2) != op(e2,e5)
| op(e5,e1) != op(e1,e5)
| op(e5,e0) != op(e0,e5)
| op(e4,e5) != op(e5,e4)
| op(e4,e4) != op(e4,e4)
| op(e4,e3) != op(e3,e4)
| op(e4,e2) != op(e2,e4)
| op(e4,e1) != op(e1,e4)
| op(e4,e0) != op(e0,e4)
| op(e3,e5) != op(e5,e3)
| op(e3,e4) != op(e4,e3)
| op(e3,e3) != op(e3,e3)
| op(e3,e2) != op(e2,e3)
| op(e3,e1) != op(e1,e3)
| op(e3,e0) != op(e0,e3)
| op(e2,e5) != op(e5,e2)
| op(e2,e4) != op(e4,e2)
| op(e2,e3) != op(e3,e2)
| op(e2,e2) != op(e2,e2)
| op(e2,e1) != op(e1,e2)
| op(e2,e0) != op(e0,e2)
| op(e1,e5) != op(e5,e1)
| op(e1,e4) != op(e4,e1)
| op(e1,e3) != op(e3,e1)
| op(e1,e2) != op(e2,e1)
| op(e1,e1) != op(e1,e1)
| op(e1,e0) != op(e0,e1)
| op(e0,e5) != op(e5,e0)
| op(e0,e4) != op(e4,e0)
| op(e0,e3) != op(e3,e0)
| op(e0,e2) != op(e2,e0)
| op(e0,e1) != op(e1,e0)
| op(e0,e0) != op(e0,e0) ),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f1447,definition,
( sQ258_spl
<=> op(e0,e0) = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f1449,plain,
( sQ258_spl
| op(e0,e0) != op(e0,e0) ),
inference(component_clause,[status(thm)],[f1447]) ).
fof(f1450,definition,
( sQ259_spl
<=> op(e0,e1) = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f1452,plain,
( sQ259_spl
| op(e0,e1) != op(e1,e0) ),
inference(component_clause,[status(thm)],[f1450]) ).
fof(f1453,definition,
( sQ260_spl
<=> op(e0,e2) = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1455,plain,
( sQ260_spl
| op(e0,e2) != op(e2,e0) ),
inference(component_clause,[status(thm)],[f1453]) ).
fof(f1456,definition,
( sQ261_spl
<=> op(e0,e3) = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f1458,plain,
( sQ261_spl
| op(e0,e3) != op(e3,e0) ),
inference(component_clause,[status(thm)],[f1456]) ).
fof(f1459,definition,
( sQ262_spl
<=> op(e0,e4) = op(e4,e0) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f1461,plain,
( sQ262_spl
| op(e0,e4) != op(e4,e0) ),
inference(component_clause,[status(thm)],[f1459]) ).
fof(f1462,definition,
( sQ263_spl
<=> op(e0,e5) = op(e5,e0) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f1464,plain,
( sQ263_spl
| op(e0,e5) != op(e5,e0) ),
inference(component_clause,[status(thm)],[f1462]) ).
fof(f1465,definition,
( sQ264_spl
<=> op(e1,e1) = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f1467,plain,
( sQ264_spl
| op(e1,e1) != op(e1,e1) ),
inference(component_clause,[status(thm)],[f1465]) ).
fof(f1468,definition,
( sQ265_spl
<=> op(e1,e2) = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f1470,plain,
( sQ265_spl
| op(e1,e2) != op(e2,e1) ),
inference(component_clause,[status(thm)],[f1468]) ).
fof(f1471,definition,
( sQ266_spl
<=> op(e1,e3) = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f1473,plain,
( sQ266_spl
| op(e1,e3) != op(e3,e1) ),
inference(component_clause,[status(thm)],[f1471]) ).
fof(f1474,definition,
( sQ267_spl
<=> op(e1,e4) = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f1476,plain,
( sQ267_spl
| op(e1,e4) != op(e4,e1) ),
inference(component_clause,[status(thm)],[f1474]) ).
fof(f1477,definition,
( sQ268_spl
<=> op(e1,e5) = op(e5,e1) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f1479,plain,
( sQ268_spl
| op(e1,e5) != op(e5,e1) ),
inference(component_clause,[status(thm)],[f1477]) ).
fof(f1480,definition,
( sQ269_spl
<=> op(e2,e2) = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f1482,plain,
( sQ269_spl
| op(e2,e2) != op(e2,e2) ),
inference(component_clause,[status(thm)],[f1480]) ).
fof(f1483,definition,
( sQ270_spl
<=> op(e2,e3) = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f1485,plain,
( sQ270_spl
| op(e2,e3) != op(e3,e2) ),
inference(component_clause,[status(thm)],[f1483]) ).
fof(f1486,definition,
( sQ271_spl
<=> op(e2,e4) = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f1488,plain,
( sQ271_spl
| op(e2,e4) != op(e4,e2) ),
inference(component_clause,[status(thm)],[f1486]) ).
fof(f1489,definition,
( sQ272_spl
<=> op(e2,e5) = op(e5,e2) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f1491,plain,
( sQ272_spl
| op(e2,e5) != op(e5,e2) ),
inference(component_clause,[status(thm)],[f1489]) ).
fof(f1492,definition,
( sQ273_spl
<=> op(e3,e3) = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f1494,plain,
( sQ273_spl
| op(e3,e3) != op(e3,e3) ),
inference(component_clause,[status(thm)],[f1492]) ).
fof(f1495,definition,
( sQ274_spl
<=> op(e3,e4) = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f1497,plain,
( sQ274_spl
| op(e3,e4) != op(e4,e3) ),
inference(component_clause,[status(thm)],[f1495]) ).
fof(f1498,definition,
( sQ275_spl
<=> op(e3,e5) = op(e5,e3) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f1500,plain,
( sQ275_spl
| op(e3,e5) != op(e5,e3) ),
inference(component_clause,[status(thm)],[f1498]) ).
fof(f1501,definition,
( sQ276_spl
<=> op(e4,e4) = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f1503,plain,
( sQ276_spl
| op(e4,e4) != op(e4,e4) ),
inference(component_clause,[status(thm)],[f1501]) ).
fof(f1504,definition,
( sQ277_spl
<=> op(e4,e5) = op(e5,e4) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f1506,plain,
( sQ277_spl
| op(e4,e5) != op(e5,e4) ),
inference(component_clause,[status(thm)],[f1504]) ).
fof(f1507,definition,
( sQ278_spl
<=> op(e5,e5) = op(e5,e5) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f1509,plain,
( sQ278_spl
| op(e5,e5) != op(e5,e5) ),
inference(component_clause,[status(thm)],[f1507]) ).
fof(f1510,plain,
( ~ sQ278_spl
| ~ sQ277_spl
| ~ sQ276_spl
| ~ sQ275_spl
| ~ sQ274_spl
| ~ sQ273_spl
| ~ sQ272_spl
| ~ sQ271_spl
| ~ sQ270_spl
| ~ sQ269_spl
| ~ sQ268_spl
| ~ sQ267_spl
| ~ sQ266_spl
| ~ sQ265_spl
| ~ sQ264_spl
| ~ sQ263_spl
| ~ sQ262_spl
| ~ sQ261_spl
| ~ sQ260_spl
| ~ sQ259_spl
| ~ sQ258_spl ),
inference(split_clause,[status(thm)],[f593,f1447,f1450,f1453,f1456,f1459,f1462,f1465,f1468,f1471,f1474,f1477,f1480,f1483,f1486,f1489,f1492,f1495,f1498,f1501,f1504,f1507]) ).
fof(f1514,plain,
e1 = op(e4,op(e4,e4)),
inference(forward_demodulation,[status(thm)],[f222,f552]) ).
fof(f1515,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(forward_demodulation,[status(thm)],[f222,f553]) ).
fof(f1538,plain,
e2 = op(e1,e4),
inference(forward_demodulation,[status(thm)],[f1514,f1515]) ).
fof(f1558,plain,
e5 = op(op(op(e4,op(e4,e4)),e4),e4),
inference(forward_demodulation,[status(thm)],[f222,f555]) ).
fof(f1559,plain,
e5 = op(op(e1,e4),e4),
inference(forward_demodulation,[status(thm)],[f1514,f1558]) ).
fof(f1560,plain,
e5 = op(e1,op(e4,e4)),
inference(forward_demodulation,[status(thm)],[f114,f1559]) ).
fof(f1582,plain,
e5 = op(e1,e3),
inference(forward_demodulation,[status(thm)],[f554,f1560]) ).
fof(f1711,plain,
e5 = op(e3,e1),
inference(forward_demodulation,[status(thm)],[f1582,f566]) ).
fof(f1725,plain,
e2 = op(e4,e1),
inference(forward_demodulation,[status(thm)],[f1538,f567]) ).
fof(f1827,plain,
( sQ278_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1509]) ).
fof(f1828,plain,
sQ278_spl,
inference(contradiction_clause,[status(thm)],[f1827]) ).
fof(f1829,plain,
( sQ277_spl
| op(e4,e5) != op(e4,e5) ),
inference(forward_demodulation,[status(thm)],[f586,f1506]) ).
fof(f1830,plain,
( sQ277_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1829]) ).
fof(f1831,plain,
sQ277_spl,
inference(contradiction_clause,[status(thm)],[f1830]) ).
fof(f1832,plain,
( sQ276_spl
| e3 != op(e4,e4) ),
inference(forward_demodulation,[status(thm)],[f554,f1503]) ).
fof(f1833,plain,
( sQ276_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f554,f1832]) ).
fof(f1834,plain,
( sQ276_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1833]) ).
fof(f1835,plain,
sQ276_spl,
inference(contradiction_clause,[status(thm)],[f1834]) ).
fof(f1836,plain,
( sQ275_spl
| op(e3,e5) != op(e3,e5) ),
inference(forward_demodulation,[status(thm)],[f580,f1500]) ).
fof(f1837,plain,
( sQ275_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1836]) ).
fof(f1838,plain,
sQ275_spl,
inference(contradiction_clause,[status(thm)],[f1837]) ).
fof(f1839,plain,
( sQ274_spl
| op(e4,e3) != op(e4,e3) ),
inference(forward_demodulation,[status(thm)],[f579,f1497]) ).
fof(f1840,plain,
( sQ274_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1839]) ).
fof(f1841,plain,
sQ274_spl,
inference(contradiction_clause,[status(thm)],[f1840]) ).
fof(f1842,plain,
( sQ273_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1494]) ).
fof(f1843,plain,
sQ273_spl,
inference(contradiction_clause,[status(thm)],[f1842]) ).
fof(f1844,plain,
( sQ272_spl
| op(e2,e5) != op(e2,e5) ),
inference(forward_demodulation,[status(thm)],[f574,f1491]) ).
fof(f1845,plain,
( sQ272_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1844]) ).
fof(f1846,plain,
sQ272_spl,
inference(contradiction_clause,[status(thm)],[f1845]) ).
fof(f1847,plain,
( sQ271_spl
| op(e4,e2) != op(e4,e2) ),
inference(forward_demodulation,[status(thm)],[f573,f1488]) ).
fof(f1848,plain,
( sQ271_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1847]) ).
fof(f1849,plain,
sQ271_spl,
inference(contradiction_clause,[status(thm)],[f1848]) ).
fof(f1850,plain,
( sQ270_spl
| op(e2,e3) != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f572,f1485]) ).
fof(f1851,plain,
( sQ270_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1850]) ).
fof(f1852,plain,
sQ270_spl,
inference(contradiction_clause,[status(thm)],[f1851]) ).
fof(f1853,plain,
( sQ269_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1482]) ).
fof(f1854,plain,
sQ269_spl,
inference(contradiction_clause,[status(thm)],[f1853]) ).
fof(f1855,plain,
( sQ268_spl
| op(e1,e5) != op(e1,e5) ),
inference(forward_demodulation,[status(thm)],[f568,f1479]) ).
fof(f1856,plain,
( sQ268_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1855]) ).
fof(f1857,plain,
sQ268_spl,
inference(contradiction_clause,[status(thm)],[f1856]) ).
fof(f1858,plain,
( sQ267_spl
| e2 != op(e4,e1) ),
inference(forward_demodulation,[status(thm)],[f1538,f1476]) ).
fof(f1859,plain,
( sQ267_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1725,f1858]) ).
fof(f1860,plain,
( sQ267_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1859]) ).
fof(f1861,plain,
sQ267_spl,
inference(contradiction_clause,[status(thm)],[f1860]) ).
fof(f1862,plain,
( sQ266_spl
| e5 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f1582,f1473]) ).
fof(f1863,plain,
( sQ266_spl
| e5 != e5 ),
inference(forward_demodulation,[status(thm)],[f1711,f1862]) ).
fof(f1864,plain,
( sQ266_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1863]) ).
fof(f1865,plain,
sQ266_spl,
inference(contradiction_clause,[status(thm)],[f1864]) ).
fof(f1866,plain,
( sQ265_spl
| op(e1,e2) != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f565,f1470]) ).
fof(f1867,plain,
( sQ265_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1866]) ).
fof(f1868,plain,
sQ265_spl,
inference(contradiction_clause,[status(thm)],[f1867]) ).
fof(f1869,plain,
( sQ264_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1467]) ).
fof(f1870,plain,
sQ264_spl,
inference(contradiction_clause,[status(thm)],[f1869]) ).
fof(f1871,plain,
( sQ263_spl
| op(e0,e5) != op(e0,e5) ),
inference(forward_demodulation,[status(thm)],[f562,f1464]) ).
fof(f1872,plain,
( sQ263_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1871]) ).
fof(f1873,plain,
sQ263_spl,
inference(contradiction_clause,[status(thm)],[f1872]) ).
fof(f1874,plain,
( sQ262_spl
| op(e4,e0) != op(e4,e0) ),
inference(forward_demodulation,[status(thm)],[f561,f1461]) ).
fof(f1875,plain,
( sQ262_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1874]) ).
fof(f1876,plain,
sQ262_spl,
inference(contradiction_clause,[status(thm)],[f1875]) ).
fof(f1877,plain,
( sQ261_spl
| op(e0,e3) != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f560,f1458]) ).
fof(f1878,plain,
( sQ261_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1877]) ).
fof(f1879,plain,
sQ261_spl,
inference(contradiction_clause,[status(thm)],[f1878]) ).
fof(f1880,plain,
( sQ260_spl
| op(e0,e2) != op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f559,f1455]) ).
fof(f1881,plain,
( sQ260_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1880]) ).
fof(f1882,plain,
sQ260_spl,
inference(contradiction_clause,[status(thm)],[f1881]) ).
fof(f1883,plain,
( sQ259_spl
| op(e0,e1) != op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f558,f1452]) ).
fof(f1884,plain,
( sQ259_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1883]) ).
fof(f1885,plain,
sQ259_spl,
inference(contradiction_clause,[status(thm)],[f1884]) ).
fof(f1886,plain,
( sQ258_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1449]) ).
fof(f1887,plain,
sQ258_spl,
inference(contradiction_clause,[status(thm)],[f1886]) ).
fof(f1888,plain,
$false,
inference(sat_refutation,[status(thm)],[f1510,f1828,f1831,f1835,f1838,f1841,f1843,f1846,f1849,f1852,f1854,f1857,f1861,f1865,f1868,f1870,f1873,f1876,f1879,f1882,f1885,f1887]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG028+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 12:56:51 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.39 % Drodi V4.1.1
% 0.08/0.41 % Refutation found
% 0.08/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.43 % Elapsed time: 0.065074 seconds
% 0.08/0.43 % CPU time: 0.189283 seconds
% 0.08/0.43 % Total memory used: 75.216 MB
% 0.08/0.43 % Net memory used: 74.739 MB
%------------------------------------------------------------------------------