%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG170+1 : TPTP v9.2.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n003.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 May 5 04:07:44 PM UTC 2026
% Result : Theorem 1.75s 1.86s
% Output : CNFRefutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 11
% Syntax : Number of formulae : 326 ( 137 unt; 0 def)
% Number of atoms : 1651 (1416 equ)
% Maximal formula atoms : 250 ( 5 avg)
% Number of connectives : 2086 ( 761 ~; 874 |; 443 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax6,axiom,
( e0 = op(e4,op(e4,e4))
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),op(e4,e4))
& e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(ax3,axiom,
( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e4,e4),op(e4,e4)) = e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(ax4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(ax2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(ax5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(co1,conjecture,
~ ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 )
| ( op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != e3
& op(e4,e4) != e4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(c_0_7,plain,
e0 = op(e4,op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_8,plain,
e1 = op(e4,e4),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_9,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_10,plain,
op(e4,e1) = e0,
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
op(op(e0,e0),op(e0,e0)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_12,plain,
op(e0,e0) = e3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_8]),c_0_10]),c_0_8]),c_0_10]) ).
cnf(c_0_13,plain,
op(e3,e2) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_14,plain,
op(e3,e3) = e0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_12]) ).
cnf(c_0_15,plain,
op(e4,e1) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_16,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_17,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_18,plain,
op(e4,e0) != op(e4,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_19,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_20,plain,
op(e3,e2) != e0,
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,plain,
op(e4,e2) != e0,
inference(rw,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_22,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_23,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_24,plain,
op(e0,e1) = e2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_8]),c_0_10]),c_0_8]) ).
cnf(c_0_25,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_26,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_27,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_28,plain,
op(e3,e0) != e0,
inference(rw,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_29,plain,
op(e4,e0) != e0,
inference(rw,[status(thm)],[c_0_18,c_0_10]) ).
cnf(c_0_30,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_31,plain,
op(e0,e0) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_32,plain,
op(op(e2,e2),op(e2,e2)) = e2,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_33,plain,
( op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_34,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_35,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_36,plain,
op(e0,e3) != e0,
inference(rw,[status(thm)],[c_0_22,c_0_14]) ).
cnf(c_0_37,plain,
op(e0,e3) != e2,
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_38,plain,
op(e0,e3) != e3,
inference(rw,[status(thm)],[c_0_25,c_0_12]) ).
cnf(c_0_39,plain,
op(op(e2,e0),op(e0,e2)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_40,plain,
( op(e2,e0) = e0
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_12]),c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_41,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_42,plain,
op(e0,e2) != e2,
inference(rw,[status(thm)],[c_0_30,c_0_24]) ).
cnf(c_0_43,plain,
op(e0,e2) != e3,
inference(rw,[status(thm)],[c_0_31,c_0_12]) ).
cnf(c_0_44,plain,
op(e1,e0) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_45,plain,
( op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_12]),c_0_34]) ).
cnf(c_0_46,plain,
op(e0,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_47,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_48,plain,
( op(e0,e3) = e4
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38]) ).
cnf(c_0_49,plain,
op(e4,e0) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_50,plain,
( op(e0,op(e0,e2)) = e0
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_51,plain,
( op(e0,e2) = e4
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_52,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_53,plain,
( op(e0,e2) = e0
| op(e1,e0) != e0 ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_54,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_55,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_56,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_57,plain,
op(e0,e4) != e1,
inference(rw,[status(thm)],[c_0_46,c_0_8]) ).
cnf(c_0_58,plain,
op(op(e0,e3),op(e3,e0)) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_59,plain,
( op(e0,e3) = e4
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_60,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_61,plain,
op(e4,e0) != e1,
inference(rw,[status(thm)],[c_0_49,c_0_8]) ).
cnf(c_0_62,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_63,plain,
op(e0,e2) != op(e0,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_64,plain,
( op(e0,e2) = e4
| op(e0,e2) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_24]),c_0_52]),c_0_53]) ).
cnf(c_0_65,plain,
op(op(e3,e0),op(e0,e3)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_66,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_12]),c_0_24]),c_0_55]),c_0_56]),c_0_57]) ).
cnf(c_0_67,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_68,plain,
( op(e4,op(e3,e0)) = e3
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_69,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_12]),c_0_55]),c_0_61]) ).
cnf(c_0_70,plain,
( op(e0,e4) = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_12]),c_0_24]),c_0_27]),c_0_52]),c_0_36]) ).
fof(c_0_71,plain,
( epred2_0
<=> ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 ) ) ),
introduced(definition) ).
fof(c_0_72,plain,
( epred4_0
<=> ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 ) ) ),
introduced(definition) ).
cnf(c_0_73,plain,
op(op(e0,e2),op(e2,e0)) = e2,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_74,plain,
( op(e0,e2) = e4
| op(e0,e4) != e0 ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_75,plain,
( op(op(e3,e0),e1) = e0
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_76,plain,
op(e1,e1) = e4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_8]),c_0_8]) ).
cnf(c_0_77,plain,
e0 != e4,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_78,plain,
( op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e2) != e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_10]),c_0_27]) ).
cnf(c_0_79,plain,
op(e3,e3) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_80,plain,
( op(op(e2,e0),e0) = e0
| op(e0,e4) = e0 ),
inference(spm,[status(thm)],[c_0_39,c_0_70]) ).
fof(c_0_81,negated_conjecture,
~ ~ ( ( epred2_0
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ( epred4_0
| ( op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != e3
& op(e4,e4) != e4 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_71]),c_0_72]) ).
cnf(c_0_82,plain,
op(e0,e0) != op(e0,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_83,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_84,plain,
( op(e4,op(e2,e0)) = e2
| op(e0,e4) != e0 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_85,plain,
( op(e2,e0) = e1
| op(e1,e0) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_69]),c_0_76]),c_0_77]),c_0_78]) ).
cnf(c_0_86,plain,
op(e0,e1) != op(e0,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_87,plain,
( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_88,plain,
op(e3,e4) != e0,
inference(rw,[status(thm)],[c_0_79,c_0_14]) ).
cnf(c_0_89,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_90,plain,
op(e1,e0) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_91,plain,
( op(e1,e0) = e0
| op(e0,e4) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_40]),c_0_12]),c_0_27]) ).
fof(c_0_92,negated_conjecture,
( ( op(e0,e4) != e0
| epred2_0 )
& ( op(e1,e4) != e1
| epred2_0 )
& ( op(e2,e4) != e2
| epred2_0 )
& ( op(e3,e4) != e3
| epred2_0 )
& ( op(e4,e4) != e4
| epred2_0 )
& ( op(e4,e0) != e0
| epred4_0 )
& ( op(e4,e1) != e1
| epred4_0 )
& ( op(e4,e2) != e2
| epred4_0 )
& ( op(e4,e3) != e3
| epred4_0 )
& ( op(e4,e4) != e4
| epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])]) ).
cnf(c_0_93,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_94,plain,
op(e0,e4) != e3,
inference(rw,[status(thm)],[c_0_82,c_0_12]) ).
cnf(c_0_95,plain,
op(e1,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_96,plain,
op(e1,e1) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_97,plain,
op(op(e1,e0),e2) = e0,
inference(rw,[status(thm)],[c_0_83,c_0_24]) ).
cnf(c_0_98,plain,
( op(e1,e0) = e1
| op(e0,e4) != e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_10]),c_0_52]) ).
cnf(c_0_99,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_100,plain,
op(e0,e4) != e2,
inference(rw,[status(thm)],[c_0_86,c_0_24]) ).
cnf(c_0_101,plain,
( op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_8]),c_0_88]),c_0_89]) ).
cnf(c_0_102,plain,
( op(e0,e4) = e0
| op(e1,e4) != e0 ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_103,negated_conjecture,
( epred2_0
| op(e3,e4) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_104,plain,
( op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_8]),c_0_94]),c_0_55]) ).
cnf(c_0_105,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_106,plain,
op(e1,e4) != e1,
inference(rw,[status(thm)],[c_0_95,c_0_8]) ).
cnf(c_0_107,plain,
op(e1,e4) != e4,
inference(rw,[status(thm)],[c_0_96,c_0_76]) ).
cnf(c_0_108,plain,
op(e1,e2) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_109,plain,
( op(e1,e2) = e0
| op(e0,e4) != e0 ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_110,negated_conjecture,
( epred2_0
| op(e0,e4) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_111,plain,
( op(e0,e4) = e4
| op(e0,e4) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_99,c_0_57]),c_0_100]),c_0_94]) ).
cnf(c_0_112,plain,
op(e0,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_113,plain,
op(op(e1,e4),op(e4,e1)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_114,plain,
( op(e0,e4) = e0
| op(e2,e4) = e0 ),
inference(csr,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_115,negated_conjecture,
( op(e2,e4) = e3
| op(e1,e4) = e3
| epred2_0 ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_116,plain,
( op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_105,c_0_106]),c_0_107]) ).
cnf(c_0_117,plain,
op(e1,e4) != e0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_102]) ).
cnf(c_0_118,plain,
op(e2,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_119,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_120,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_121,negated_conjecture,
( op(e0,e4) = e4
| epred2_0 ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_122,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_123,plain,
op(e4,e0) != e3,
inference(rw,[status(thm)],[c_0_112,c_0_12]) ).
cnf(c_0_124,plain,
op(op(e1,e4),e0) = e4,
inference(rw,[status(thm)],[c_0_113,c_0_10]) ).
cnf(c_0_125,negated_conjecture,
( op(e1,e4) = e3
| epred2_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_27]),c_0_110]) ).
cnf(c_0_126,plain,
( op(e1,e4) = e3
| op(e1,e4) = e2 ),
inference(sr,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_127,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_128,plain,
op(e2,e1) != e0,
inference(rw,[status(thm)],[c_0_118,c_0_10]) ).
cnf(c_0_129,plain,
op(e2,e3) != e0,
inference(rw,[status(thm)],[c_0_119,c_0_14]) ).
cnf(c_0_130,negated_conjecture,
( op(e4,op(e4,e0)) = e4
| epred2_0 ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_131,plain,
( op(e4,e0) = e4
| op(e4,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_122,c_0_29]),c_0_61]),c_0_123]) ).
cnf(c_0_132,plain,
op(e3,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_133,negated_conjecture,
( op(e3,e0) = e4
| epred2_0 ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_134,plain,
( op(e1,e4) = e2
| op(e3,e0) = e4 ),
inference(spm,[status(thm)],[c_0_124,c_0_126]) ).
cnf(c_0_135,plain,
op(op(e4,e1),op(e1,e4)) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
fof(c_0_136,plain,
( epred3_0
<=> ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 ) ) ),
introduced(definition) ).
cnf(c_0_137,plain,
( op(e2,e4) = e0
| op(e2,e2) = e0
| op(e2,e0) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).
cnf(c_0_138,plain,
op(op(e4,e2),op(e2,e4)) = e2,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_139,negated_conjecture,
( op(e4,e0) = e4
| op(e4,e2) = e4
| epred2_0 ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_140,negated_conjecture,
( epred2_0
| op(e4,e0) != e4 ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_141,plain,
( op(e1,e4) = e2
| op(e0,e2) != e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_134]),c_0_8]),c_0_55]) ).
cnf(c_0_142,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_143,plain,
op(e0,op(e1,e4)) = e1,
inference(rw,[status(thm)],[c_0_135,c_0_10]) ).
cnf(c_0_144,plain,
( op(e1,e4) = e2
| op(e4,e0) != e4 ),
inference(spm,[status(thm)],[c_0_132,c_0_134]) ).
fof(c_0_145,plain,
( epred3_0
=> ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 ) ) ),
inference(split_equiv,[status(thm)],[c_0_136]) ).
cnf(c_0_146,plain,
op(e1,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_147,plain,
( op(e2,e4) = e0
| op(e2,e0) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_137]),c_0_12]),c_0_34]) ).
cnf(c_0_148,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_149,negated_conjecture,
( op(e4,op(e2,e4)) = e2
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]) ).
cnf(c_0_150,plain,
( op(e0,op(e2,e0)) = e2
| op(e0,e4) = e0 ),
inference(spm,[status(thm)],[c_0_73,c_0_70]) ).
cnf(c_0_151,plain,
( op(e2,e0) = e4
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_124,c_0_141]) ).
cnf(c_0_152,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_153,plain,
op(e3,e0) != e3,
inference(rw,[status(thm)],[c_0_142,c_0_12]) ).
cnf(c_0_154,plain,
( op(e0,e2) = e1
| op(e4,e0) != e4 ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_155,plain,
e1 != e4,
inference(split_conjunct,[status(thm)],[ax5]) ).
fof(c_0_156,plain,
( ( op(e1,e0) != e0
| op(e0,e0) != e0
| ~ epred3_0 )
& ( op(e1,e1) != e1
| op(e0,e0) != e0
| ~ epred3_0 )
& ( op(e1,e2) != e2
| op(e0,e0) != e0
| ~ epred3_0 )
& ( op(e1,e3) != e3
| op(e0,e0) != e0
| ~ epred3_0 )
& ( op(e1,e4) != e4
| op(e0,e0) != e0
| ~ epred3_0 )
& ( op(e1,e0) != e0
| op(e0,e1) != e1
| ~ epred3_0 )
& ( op(e1,e1) != e1
| op(e0,e1) != e1
| ~ epred3_0 )
& ( op(e1,e2) != e2
| op(e0,e1) != e1
| ~ epred3_0 )
& ( op(e1,e3) != e3
| op(e0,e1) != e1
| ~ epred3_0 )
& ( op(e1,e4) != e4
| op(e0,e1) != e1
| ~ epred3_0 )
& ( op(e1,e0) != e0
| op(e0,e2) != e2
| ~ epred3_0 )
& ( op(e1,e1) != e1
| op(e0,e2) != e2
| ~ epred3_0 )
& ( op(e1,e2) != e2
| op(e0,e2) != e2
| ~ epred3_0 )
& ( op(e1,e3) != e3
| op(e0,e2) != e2
| ~ epred3_0 )
& ( op(e1,e4) != e4
| op(e0,e2) != e2
| ~ epred3_0 )
& ( op(e1,e0) != e0
| op(e0,e3) != e3
| ~ epred3_0 )
& ( op(e1,e1) != e1
| op(e0,e3) != e3
| ~ epred3_0 )
& ( op(e1,e2) != e2
| op(e0,e3) != e3
| ~ epred3_0 )
& ( op(e1,e3) != e3
| op(e0,e3) != e3
| ~ epred3_0 )
& ( op(e1,e4) != e4
| op(e0,e3) != e3
| ~ epred3_0 )
& ( op(e1,e0) != e0
| op(e0,e4) != e4
| ~ epred3_0 )
& ( op(e1,e1) != e1
| op(e0,e4) != e4
| ~ epred3_0 )
& ( op(e1,e2) != e2
| op(e0,e4) != e4
| ~ epred3_0 )
& ( op(e1,e3) != e3
| op(e0,e4) != e4
| ~ epred3_0 )
& ( op(e1,e4) != e4
| op(e0,e4) != e4
| ~ epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_145])]) ).
cnf(c_0_157,plain,
op(e0,e4) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_158,plain,
( op(e2,e4) = e0
| op(e1,e0) != e0 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_159,plain,
( op(op(e0,e2),e0) = e2
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[c_0_73,c_0_40]) ).
cnf(c_0_160,plain,
op(e2,e0) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_161,negated_conjecture,
( op(op(e4,e0),e4) = e0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_148,c_0_121]) ).
cnf(c_0_162,negated_conjecture,
( op(e4,e0) = e2
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_114]),c_0_110]) ).
cnf(c_0_163,plain,
( op(op(e2,e0),e4) = e0
| op(e0,e4) != e0 ),
inference(spm,[status(thm)],[c_0_39,c_0_74]) ).
cnf(c_0_164,plain,
( op(e0,e4) = e0
| op(e0,e2) != e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_100]) ).
cnf(c_0_165,plain,
( op(e3,e0) = e4
| op(e3,e0) = e2
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_152,c_0_28]),c_0_153]) ).
cnf(c_0_166,plain,
op(e4,e0) != e4,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_154]),c_0_155]),c_0_89]) ).
cnf(c_0_167,plain,
( op(e1,e0) != e0
| op(e0,e4) != e4
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_168,plain,
( op(e0,e4) != e0
| op(e1,e0) != e0 ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_169,plain,
( op(e1,e0) = e0
| op(e4,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_74]),c_0_91]) ).
cnf(c_0_170,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_171,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_172,plain,
( op(e1,e0) = e0
| op(e2,e4) != e0 ),
inference(spm,[status(thm)],[c_0_160,c_0_40]) ).
cnf(c_0_173,negated_conjecture,
( op(e2,e4) = e0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_174,plain,
( op(e1,op(e3,e0)) = e3
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_58,c_0_66]) ).
cnf(c_0_175,plain,
op(e0,e2) != e1,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_151]),c_0_8]),c_0_89]),c_0_164]) ).
cnf(c_0_176,plain,
( op(e3,e0) = e4
| op(e3,e0) = e1
| op(e4,e0) != e2 ),
inference(spm,[status(thm)],[c_0_132,c_0_165]) ).
cnf(c_0_177,plain,
op(e4,e0) = e2,
inference(sr,[status(thm)],[c_0_131,c_0_166]) ).
cnf(c_0_178,plain,
op(e3,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_179,plain,
op(e0,e0) != op(e1,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_180,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_181,plain,
( op(e0,e4) = e0
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_91]),c_0_111]) ).
cnf(c_0_182,plain,
( op(e4,e0) = e2
| op(e0,e4) != e0 ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_183,plain,
op(e0,e3) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_184,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_76]),c_0_155]),c_0_106]) ).
cnf(c_0_185,plain,
op(e2,op(e1,e0)) = e1,
inference(rw,[status(thm)],[c_0_171,c_0_24]) ).
cnf(c_0_186,negated_conjecture,
( op(e1,e0) = e0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
fof(c_0_187,plain,
( epred1_0
<=> ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 ) ) ),
introduced(definition) ).
cnf(c_0_188,plain,
( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_189,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_190,plain,
op(e1,op(e3,e0)) = e3,
inference(sr,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_191,plain,
( op(e3,e0) = e1
| op(e3,e0) = e4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_177])]) ).
cnf(c_0_192,plain,
e3 != e4,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_193,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_194,plain,
op(e3,e4) != e1,
inference(rw,[status(thm)],[c_0_178,c_0_8]) ).
cnf(c_0_195,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_196,plain,
op(e1,e0) != e3,
inference(rw,[status(thm)],[c_0_179,c_0_12]) ).
cnf(c_0_197,plain,
op(e1,e0) != e4,
inference(rw,[status(thm)],[c_0_180,c_0_76]) ).
cnf(c_0_198,plain,
( op(op(e4,e0),e0) = e0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_148,c_0_181]) ).
cnf(c_0_199,plain,
( op(e4,e0) = e2
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_182,c_0_181]) ).
cnf(c_0_200,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_201,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_202,plain,
( op(e1,e2) = e1
| op(e1,e0) = e1
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_203,negated_conjecture,
( op(e0,e3) = e1
| epred2_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_125]) ).
cnf(c_0_204,negated_conjecture,
( op(e2,e0) = e1
| epred2_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_205,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_206,plain,
op(e1,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_207,plain,
( epred1_0
=> ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 ) ) ),
inference(split_equiv,[status(thm)],[c_0_187]) ).
cnf(c_0_208,plain,
op(e0,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_209,plain,
op(e3,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_210,plain,
( op(e3,e4) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_14]),c_0_153]),c_0_27]) ).
cnf(c_0_211,negated_conjecture,
( epred4_0
| op(e4,e3) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_212,plain,
( op(e4,e3) = e3
| op(e4,e2) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_10]),c_0_8]),c_0_123]),c_0_27]),c_0_55]) ).
cnf(c_0_213,plain,
op(e3,e0) = e4,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_76]),c_0_192]) ).
cnf(c_0_214,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_215,plain,
( op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_14]),c_0_89]),c_0_194]) ).
cnf(c_0_216,plain,
op(e1,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_217,plain,
( op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_195,c_0_196]),c_0_197]) ).
cnf(c_0_218,plain,
( op(e2,e0) = e0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_219,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_220,plain,
op(e1,e3) != e0,
inference(rw,[status(thm)],[c_0_200,c_0_14]) ).
cnf(c_0_221,plain,
op(e1,e3) != e4,
inference(rw,[status(thm)],[c_0_201,c_0_76]) ).
cnf(c_0_222,plain,
op(op(e1,e2),op(e2,e1)) = e2,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_223,negated_conjecture,
( op(e1,e0) = e1
| op(e1,e2) = e1
| epred2_0 ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_224,negated_conjecture,
( epred2_0
| op(e1,e0) != e1 ),
inference(spm,[status(thm)],[c_0_146,c_0_204]) ).
cnf(c_0_225,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_226,plain,
op(e2,e1) != e2,
inference(rw,[status(thm)],[c_0_205,c_0_24]) ).
cnf(c_0_227,plain,
op(e2,e1) != e4,
inference(rw,[status(thm)],[c_0_206,c_0_76]) ).
fof(c_0_228,plain,
( ( op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e1,e1) != e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e1) != e2
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e1) != e3
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e4,e1) != e4
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e1) != e0
| op(e1,e0) != e1
| ~ epred1_0 )
& ( op(e1,e1) != e1
| op(e1,e0) != e1
| ~ epred1_0 )
& ( op(e2,e1) != e2
| op(e1,e0) != e1
| ~ epred1_0 )
& ( op(e3,e1) != e3
| op(e1,e0) != e1
| ~ epred1_0 )
& ( op(e4,e1) != e4
| op(e1,e0) != e1
| ~ epred1_0 )
& ( op(e0,e1) != e0
| op(e2,e0) != e2
| ~ epred1_0 )
& ( op(e1,e1) != e1
| op(e2,e0) != e2
| ~ epred1_0 )
& ( op(e2,e1) != e2
| op(e2,e0) != e2
| ~ epred1_0 )
& ( op(e3,e1) != e3
| op(e2,e0) != e2
| ~ epred1_0 )
& ( op(e4,e1) != e4
| op(e2,e0) != e2
| ~ epred1_0 )
& ( op(e0,e1) != e0
| op(e3,e0) != e3
| ~ epred1_0 )
& ( op(e1,e1) != e1
| op(e3,e0) != e3
| ~ epred1_0 )
& ( op(e2,e1) != e2
| op(e3,e0) != e3
| ~ epred1_0 )
& ( op(e3,e1) != e3
| op(e3,e0) != e3
| ~ epred1_0 )
& ( op(e4,e1) != e4
| op(e3,e0) != e3
| ~ epred1_0 )
& ( op(e0,e1) != e0
| op(e4,e0) != e4
| ~ epred1_0 )
& ( op(e1,e1) != e1
| op(e4,e0) != e4
| ~ epred1_0 )
& ( op(e2,e1) != e2
| op(e4,e0) != e4
| ~ epred1_0 )
& ( op(e3,e1) != e3
| op(e4,e0) != e4
| ~ epred1_0 )
& ( op(e4,e1) != e4
| op(e4,e0) != e4
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_207])]) ).
cnf(c_0_229,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_230,plain,
( op(e4,e2) != e4
| op(e0,e4) != e0 ),
inference(spm,[status(thm)],[c_0_208,c_0_74]) ).
cnf(c_0_231,plain,
( op(e3,e4) = e3
| op(e3,e1) = e3
| op(e4,e2) != e3 ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_232,negated_conjecture,
( op(e4,e2) = e3
| epred4_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_233,plain,
op(e1,e4) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_234,plain,
op(e1,e4) = e3,
inference(rw,[status(thm)],[c_0_190,c_0_213]) ).
cnf(c_0_235,plain,
( op(e3,e1) = e1
| op(e3,e0) = e1
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_236,plain,
( op(e1,e0) = e1
| op(e1,e0) = e0
| op(e4,e0) != e2 ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_237,plain,
( op(e1,e0) != e0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_146,c_0_218]) ).
cnf(c_0_238,plain,
( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_239,plain,
op(e1,e3) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_240,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_219,c_0_220]),c_0_221]) ).
cnf(c_0_241,plain,
op(e0,e3) = e1,
inference(sr,[status(thm)],[c_0_66,c_0_175]) ).
cnf(c_0_242,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_243,plain,
op(op(e2,e1),op(e1,e2)) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_244,negated_conjecture,
( op(e1,op(e2,e1)) = e2
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]) ).
cnf(c_0_245,plain,
( op(e2,e1) = e3
| op(e2,e1) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_225,c_0_128]),c_0_226]),c_0_227]) ).
cnf(c_0_246,plain,
( op(e3,e1) != e3
| op(e1,e0) != e1
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_228]) ).
cnf(c_0_247,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_24]),c_0_76]),c_0_10]),c_0_34]),c_0_192]),c_0_27]) ).
cnf(c_0_248,plain,
( op(e0,e4) = e4
| op(e4,e2) != e4 ),
inference(spm,[status(thm)],[c_0_230,c_0_111]) ).
fof(c_0_249,plain,
( epred4_0
=> ( epred3_0
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_72]),c_0_136]) ).
cnf(c_0_250,negated_conjecture,
( op(e3,e1) = e3
| op(e3,e4) = e3
| epred4_0 ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_251,plain,
op(e3,e4) != e3,
inference(rw,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_252,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_253,plain,
( op(e3,e1) = e1
| op(e1,e2) != e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_213]),c_0_155]) ).
cnf(c_0_254,plain,
( op(e1,e0) = e1
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_199]),c_0_237]) ).
cnf(c_0_255,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_256,plain,
( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_238,c_0_88]),c_0_194]) ).
cnf(c_0_257,plain,
op(e3,e0) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_258,plain,
( op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e4) != e3 ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_259,plain,
op(e1,e3) != e1,
inference(rw,[status(thm)],[c_0_183,c_0_241]) ).
cnf(c_0_260,plain,
op(op(e3,e1),op(e1,e3)) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_261,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_24]),c_0_76]),c_0_10]),c_0_56]),c_0_155]),c_0_89]) ).
cnf(c_0_262,negated_conjecture,
( op(op(e2,e1),e1) = e1
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_223]),c_0_224]) ).
cnf(c_0_263,negated_conjecture,
( op(e2,e1) = e1
| op(e1,e3) = e2
| epred2_0 ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_264,plain,
( op(e2,e1) = e3
| op(e1,e0) != e1
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_265,plain,
( op(op(e1,e2),e3) = e2
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[c_0_222,c_0_245]) ).
cnf(c_0_266,plain,
( op(op(e4,e0),e4) = e0
| op(e4,e2) != e4 ),
inference(spm,[status(thm)],[c_0_148,c_0_248]) ).
fof(c_0_267,plain,
( ( op(e3,e0) != e0
| op(e2,e0) != e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e1) != e1
| op(e2,e0) != e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e2
| op(e2,e0) != e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) != e3
| op(e2,e0) != e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e4) != e4
| op(e2,e0) != e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e0) != e0
| op(e2,e1) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e1) != e1
| op(e2,e1) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e2
| op(e2,e1) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) != e3
| op(e2,e1) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e4) != e4
| op(e2,e1) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e0) != e0
| op(e2,e2) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e1) != e1
| op(e2,e2) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e2
| op(e2,e2) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) != e3
| op(e2,e2) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e4) != e4
| op(e2,e2) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e0) != e0
| op(e2,e3) != e3
| epred3_0
| ~ epred4_0 )
& ( op(e3,e1) != e1
| op(e2,e3) != e3
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e2
| op(e2,e3) != e3
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) != e3
| op(e2,e3) != e3
| epred3_0
| ~ epred4_0 )
& ( op(e3,e4) != e4
| op(e2,e3) != e3
| epred3_0
| ~ epred4_0 )
& ( op(e3,e0) != e0
| op(e2,e4) != e4
| epred3_0
| ~ epred4_0 )
& ( op(e3,e1) != e1
| op(e2,e4) != e4
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e2
| op(e2,e4) != e4
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) != e3
| op(e2,e4) != e4
| epred3_0
| ~ epred4_0 )
& ( op(e3,e4) != e4
| op(e2,e4) != e4
| epred3_0
| ~ epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_249])]) ).
cnf(c_0_268,negated_conjecture,
( op(e3,e1) = e3
| epred4_0 ),
inference(sr,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_269,plain,
( op(e2,e1) != e1
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_270,plain,
( op(e2,e1) = e1
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_254]) ).
cnf(c_0_271,plain,
op(e3,e2) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_272,plain,
( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2 ),
inference(sr,[status(thm)],[c_0_255,c_0_42]) ).
cnf(c_0_273,plain,
( op(e3,e4) = e4
| op(e3,e4) = e2
| op(e1,e4) != e3 ),
inference(spm,[status(thm)],[c_0_233,c_0_256]) ).
cnf(c_0_274,plain,
op(e3,e4) != e4,
inference(rw,[status(thm)],[c_0_257,c_0_213]) ).
cnf(c_0_275,plain,
op(e4,e0) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_276,plain,
op(e1,e2) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_277,plain,
op(e1,e3) = e2,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_258,c_0_234])]),c_0_259]) ).
cnf(c_0_278,plain,
( op(e1,op(e1,e3)) = e1
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_279,negated_conjecture,
( op(e1,e3) = e2
| epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_76]),c_0_155]) ).
cnf(c_0_280,plain,
( op(op(e1,e2),e3) = e2
| op(e1,e0) != e1
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_264]) ).
cnf(c_0_281,plain,
( op(op(e2,e1),e0) = e1
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_243,c_0_45]) ).
cnf(c_0_282,plain,
( op(e0,e2) = e0
| op(e2,e1) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_45]),c_0_37]) ).
cnf(c_0_283,plain,
( op(e2,e4) = e0
| op(e4,e2) != e4 ),
inference(rw,[status(thm)],[c_0_266,c_0_177]) ).
cnf(c_0_284,plain,
( epred3_0
| op(e3,e1) != e1
| op(e2,e2) != e2
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_267]) ).
cnf(c_0_285,negated_conjecture,
( epred4_0
| op(e1,e2) != e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_268]),c_0_55]) ).
cnf(c_0_286,plain,
( op(e1,e2) != e1
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_287,plain,
( op(e4,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e3,e4) != e2 ),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_288,plain,
op(e3,e4) = e2,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_234])]),c_0_274]) ).
cnf(c_0_289,plain,
op(e4,e2) != e2,
inference(rw,[status(thm)],[c_0_275,c_0_177]) ).
cnf(c_0_290,plain,
op(e1,e2) != e2,
inference(rw,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_291,plain,
( op(e3,op(e1,e3)) = e1
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_260,c_0_247]) ).
cnf(c_0_292,negated_conjecture,
( op(e2,e1) = e1
| op(e1,e2) = e1
| epred2_0 ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_293,plain,
( op(e0,e2) = e0
| op(e1,e0) != e1
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_45]),c_0_37]) ).
cnf(c_0_294,plain,
( op(e0,e2) = e0
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_295,plain,
( op(e1,e0) = e0
| op(e4,e2) != e4 ),
inference(spm,[status(thm)],[c_0_172,c_0_283]) ).
cnf(c_0_296,plain,
( op(e2,e2) != e2
| op(e1,e2) != e1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_253]),c_0_285]),c_0_286]) ).
cnf(c_0_297,plain,
op(e2,e2) = e2,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_287,c_0_288])]),c_0_289]),c_0_290]) ).
cnf(c_0_298,negated_conjecture,
( op(e2,e1) = e3
| op(e3,e2) = e1
| epred2_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_279]) ).
cnf(c_0_299,negated_conjecture,
( op(e1,e2) = e1
| epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_292]),c_0_76]),c_0_155]) ).
cnf(c_0_300,plain,
( op(e0,e2) = e0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_293,c_0_294]) ).
cnf(c_0_301,plain,
( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_302,plain,
( op(e2,e0) = e1
| op(e4,e2) != e4 ),
inference(spm,[status(thm)],[c_0_185,c_0_295]) ).
cnf(c_0_303,plain,
( op(e1,e0) = e1
| op(e1,e2) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_241])]) ).
cnf(c_0_304,plain,
op(e1,e2) != e1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_297])]) ).
cnf(c_0_305,negated_conjecture,
( op(e2,e1) = e3
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_298]),c_0_299]) ).
cnf(c_0_306,negated_conjecture,
( op(e4,e0) = e4
| epred4_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_139]),c_0_192]) ).
cnf(c_0_307,plain,
( op(e1,e0) = e0
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_300]),c_0_12]),c_0_27]) ).
fof(c_0_308,plain,
( epred2_0
=> ( epred1_0
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_71]),c_0_187]) ).
cnf(c_0_309,plain,
( op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e0) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_10]),c_0_8]),c_0_77]),c_0_155]) ).
cnf(c_0_310,plain,
( op(e1,e0) != e1
| op(e4,e2) != e4 ),
inference(spm,[status(thm)],[c_0_146,c_0_302]) ).
cnf(c_0_311,plain,
op(e1,e0) = e1,
inference(sr,[status(thm)],[c_0_303,c_0_304]) ).
cnf(c_0_312,negated_conjecture,
( op(e3,e1) = e1
| epred2_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_305]) ).
cnf(c_0_313,negated_conjecture,
( epred4_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_306]),c_0_8]),c_0_155]) ).
cnf(c_0_314,negated_conjecture,
( epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_110,c_0_181]) ).
cnf(c_0_315,plain,
( op(e2,e0) = e1
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_307]) ).
fof(c_0_316,plain,
( ( op(e0,e3) != e0
| op(e0,e2) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e3) != e1
| op(e0,e2) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e3) != e2
| op(e0,e2) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e3,e3) != e3
| op(e0,e2) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e4,e3) != e4
| op(e0,e2) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e3) != e0
| op(e1,e2) != e1
| epred1_0
| ~ epred2_0 )
& ( op(e1,e3) != e1
| op(e1,e2) != e1
| epred1_0
| ~ epred2_0 )
& ( op(e2,e3) != e2
| op(e1,e2) != e1
| epred1_0
| ~ epred2_0 )
& ( op(e3,e3) != e3
| op(e1,e2) != e1
| epred1_0
| ~ epred2_0 )
& ( op(e4,e3) != e4
| op(e1,e2) != e1
| epred1_0
| ~ epred2_0 )
& ( op(e0,e3) != e0
| op(e2,e2) != e2
| epred1_0
| ~ epred2_0 )
& ( op(e1,e3) != e1
| op(e2,e2) != e2
| epred1_0
| ~ epred2_0 )
& ( op(e2,e3) != e2
| op(e2,e2) != e2
| epred1_0
| ~ epred2_0 )
& ( op(e3,e3) != e3
| op(e2,e2) != e2
| epred1_0
| ~ epred2_0 )
& ( op(e4,e3) != e4
| op(e2,e2) != e2
| epred1_0
| ~ epred2_0 )
& ( op(e0,e3) != e0
| op(e3,e2) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e1,e3) != e1
| op(e3,e2) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e2,e3) != e2
| op(e3,e2) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e3,e3) != e3
| op(e3,e2) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e4,e3) != e4
| op(e3,e2) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e0,e3) != e0
| op(e4,e2) != e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e3) != e1
| op(e4,e2) != e4
| epred1_0
| ~ epred2_0 )
& ( op(e2,e3) != e2
| op(e4,e2) != e4
| epred1_0
| ~ epred2_0 )
& ( op(e3,e3) != e3
| op(e4,e2) != e4
| epred1_0
| ~ epred2_0 )
& ( op(e4,e3) != e4
| op(e4,e2) != e4
| epred1_0
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_308])]) ).
cnf(c_0_317,plain,
( op(e4,e3) = e4
| op(e4,e2) = e4 ),
inference(sr,[status(thm)],[c_0_309,c_0_166]) ).
cnf(c_0_318,plain,
op(e4,e2) != e4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_311])]) ).
cnf(c_0_319,plain,
( epred2_0
| op(e2,e2) != e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_312]),c_0_313]),c_0_314]) ).
cnf(c_0_320,plain,
( op(e1,e0) != e1
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_146,c_0_315]) ).
cnf(c_0_321,plain,
( epred1_0
| op(e4,e3) != e4
| op(e2,e2) != e2
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_316]) ).
cnf(c_0_322,plain,
op(e4,e3) = e4,
inference(sr,[status(thm)],[c_0_317,c_0_318]) ).
cnf(c_0_323,plain,
epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_319,c_0_297])]) ).
cnf(c_0_324,plain,
~ epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_320,c_0_311])]) ).
cnf(c_0_325,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_321,c_0_297])]),c_0_322]),c_0_323])]),c_0_324]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG170+1 : TPTP v9.2.1. Released v2.7.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.32 % Computer : n003.cluster.edu
% 0.17/0.32 % Model : x86_64 x86_64
% 0.17/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.32 % Memory : 8042.1875MB
% 0.17/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.32 % CPULimit : 300
% 0.17/0.32 % WCLimit : 300
% 0.17/0.32 % DateTime : Tue May 5 10:23:41 EDT 2026
% 0.17/0.32 % CPUTime :
% 0.17/0.33 % start to proof: theBenchmark
% 1.75/1.86 % Version : CSE_E---1.7
% 1.75/1.86 % Problem : theBenchmark.p
% 1.75/1.86 % SZS status Theorem for theBenchmark.p
% 1.75/1.86 % SZS output start CNFRefutation
% See solution above
% 1.75/1.86 % Total time : 1.369s
%------------------------------------------------------------------------------