%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG133+1 : TPTP v9.2.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:05:43 PM UTC 2026
% Result : Unsatisfiable 16.29s 9.96s
% Output : CNFRefutation 16.42s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(ax5,axiom,
( ( op(op(e0,e0),e0) = op(e0,e0)
| op(op(e1,e0),e1) = op(e1,e0)
| op(op(e2,e0),e2) = op(e2,e0)
| op(op(e3,e0),e3) = op(e3,e0) )
& ( op(op(e0,e1),e0) = op(e0,e1)
| op(op(e1,e1),e1) = op(e1,e1)
| op(op(e2,e1),e2) = op(e2,e1)
| op(op(e3,e1),e3) = op(e3,e1) )
& ( op(op(e0,e2),e0) = op(e0,e2)
| op(op(e1,e2),e1) = op(e1,e2)
| op(op(e2,e2),e2) = op(e2,e2)
| op(op(e3,e2),e3) = op(e3,e2) )
& ( op(op(e0,e3),e0) = op(e0,e3)
| op(op(e1,e3),e1) = op(e1,e3)
| op(op(e2,e3),e2) = op(e2,e3)
| op(op(e3,e3),e3) = op(e3,e3) )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) = e0
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) = e0
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) = e0
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) = e1
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) = e1
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) = e1
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) = e2
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) = e2
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e2,e2) = e3
& op(e2,e3) = e2
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 )
| ( op(e3,e3) = e0
& op(e3,e0) = e3
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e3,e3) = e1
& op(e3,e1) = e3
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
| ( op(e3,e3) = e2
& op(e3,e2) = e3
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(ax18,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e1 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(ax3,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(ax2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(ax4,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(ax1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(ax20,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(op(e3,e3),op(e3,e3))
& e0 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(ax14,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e0 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(ax12,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(op(e3,e3),op(e3,e3))
& e2 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(ax6,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(op(e3,e3),op(e3,e3))
& e2 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(ax8,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e1 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(ax13,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2))
& e3 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(ax16,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e0 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(ax24,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(ax26,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e0 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(ax10,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(ax7,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(op(e2,e2),op(e2,e2))
& e3 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(ax25,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(op(e1,e1),op(e1,e1))
& e2 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(ax28,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(ax19,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(ax22,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e0 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(ax11,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e2 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(ax9,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(ax27,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e2 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(ax29,axiom,
~ ( e3 = op(e0,e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e1 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(ax21,axiom,
~ ( e2 = op(e0,e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e3 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(ax23,axiom,
~ ( e2 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e1 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(ax17,axiom,
~ ( e1 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e2 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(ax15,axiom,
~ ( e1 = op(e0,e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e3 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(c_0_29,plain,
( epred7_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) = e0
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) = e0
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) = e0
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) = e1
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e1,e1) = e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) = e1
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) = e1
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) = e2
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) = e2
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
| ( op(e2,e2) = e2
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e2,e2) = e3
& op(e2,e3) = e2
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 )
| ( op(e3,e3) = e0
& op(e3,e0) = e3
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e3,e3) = e1
& op(e3,e1) = e3
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 ) ) ),
introduced(definition) ).
fof(c_0_30,plain,
( ( op(op(e0,e0),e0) = op(e0,e0)
| op(op(e1,e0),e1) = op(e1,e0)
| op(op(e2,e0),e2) = op(e2,e0)
| op(op(e3,e0),e3) = op(e3,e0) )
& ( op(op(e0,e1),e0) = op(e0,e1)
| op(op(e1,e1),e1) = op(e1,e1)
| op(op(e2,e1),e2) = op(e2,e1)
| op(op(e3,e1),e3) = op(e3,e1) )
& ( op(op(e0,e2),e0) = op(e0,e2)
| op(op(e1,e2),e1) = op(e1,e2)
| op(op(e2,e2),e2) = op(e2,e2)
| op(op(e3,e2),e3) = op(e3,e2) )
& ( op(op(e0,e3),e0) = op(e0,e3)
| op(op(e1,e3),e1) = op(e1,e3)
| op(op(e2,e3),e2) = op(e2,e3)
| op(op(e3,e3),e3) = op(e3,e3) )
& ( epred7_0
| ( op(e3,e3) = e2
& op(e3,e2) = e3
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e3,e3) = e3
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax5]),c_0_29]) ).
fof(c_0_31,plain,
( ( op(op(e0,e0),e0) = op(e0,e0)
| op(op(e1,e0),e1) = op(e1,e0)
| op(op(e2,e0),e2) = op(e2,e0)
| op(op(e3,e0),e3) = op(e3,e0) )
& ( op(op(e0,e1),e0) = op(e0,e1)
| op(op(e1,e1),e1) = op(e1,e1)
| op(op(e2,e1),e2) = op(e2,e1)
| op(op(e3,e1),e3) = op(e3,e1) )
& ( op(op(e0,e2),e0) = op(e0,e2)
| op(op(e1,e2),e1) = op(e1,e2)
| op(op(e2,e2),e2) = op(e2,e2)
| op(op(e3,e2),e3) = op(e3,e2) )
& ( op(op(e0,e3),e0) = op(e0,e3)
| op(op(e1,e3),e1) = op(e1,e3)
| op(op(e2,e3),e2) = op(e2,e3)
| op(op(e3,e3),e3) = op(e3,e3) )
& ( op(e3,e3) = e3
| op(e3,e3) = e2
| epred7_0 )
& ( op(e3,e0) != e0
| op(e3,e3) = e2
| epred7_0 )
& ( op(e3,e1) != e1
| op(e3,e3) = e2
| epred7_0 )
& ( op(e3,e2) != e2
| op(e3,e3) = e2
| epred7_0 )
& ( op(e3,e3) != e3
| op(e3,e3) = e2
| epred7_0 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| epred7_0 )
& ( op(e3,e0) != e0
| op(e3,e2) = e3
| epred7_0 )
& ( op(e3,e1) != e1
| op(e3,e2) = e3
| epred7_0 )
& ( op(e3,e2) != e2
| op(e3,e2) = e3
| epred7_0 )
& ( op(e3,e3) != e3
| op(e3,e2) = e3
| epred7_0 )
& ( op(e3,e3) = e3
| op(e2,e0) != e0
| epred7_0 )
& ( op(e3,e0) != e0
| op(e2,e0) != e0
| epred7_0 )
& ( op(e3,e1) != e1
| op(e2,e0) != e0
| epred7_0 )
& ( op(e3,e2) != e2
| op(e2,e0) != e0
| epred7_0 )
& ( op(e3,e3) != e3
| op(e2,e0) != e0
| epred7_0 )
& ( op(e3,e3) = e3
| op(e2,e1) != e1
| epred7_0 )
& ( op(e3,e0) != e0
| op(e2,e1) != e1
| epred7_0 )
& ( op(e3,e1) != e1
| op(e2,e1) != e1
| epred7_0 )
& ( op(e3,e2) != e2
| op(e2,e1) != e1
| epred7_0 )
& ( op(e3,e3) != e3
| op(e2,e1) != e1
| epred7_0 )
& ( op(e3,e3) = e3
| op(e2,e2) != e2
| epred7_0 )
& ( op(e3,e0) != e0
| op(e2,e2) != e2
| epred7_0 )
& ( op(e3,e1) != e1
| op(e2,e2) != e2
| epred7_0 )
& ( op(e3,e2) != e2
| op(e2,e2) != e2
| epred7_0 )
& ( op(e3,e3) != e3
| op(e2,e2) != e2
| epred7_0 )
& ( op(e3,e3) = e3
| op(e2,e3) != e3
| epred7_0 )
& ( op(e3,e0) != e0
| op(e2,e3) != e3
| epred7_0 )
& ( op(e3,e1) != e1
| op(e2,e3) != e3
| epred7_0 )
& ( op(e3,e2) != e2
| op(e2,e3) != e3
| epred7_0 )
& ( op(e3,e3) != e3
| op(e2,e3) != e3
| epred7_0 ) ),
inference(distribute,[status(thm)],[c_0_30]) ).
fof(c_0_32,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(e3,e3),e3) ),
inference(fof_nnf,[status(thm)],[ax18]) ).
cnf(c_0_33,plain,
( op(e3,e3) = e2
| epred7_0
| op(e3,e3) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_34,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(e3,e3),e3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_36,plain,
( op(e3,e3) = e2
| epred7_0 ),
inference(csr,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
( epred7_0
| op(e3,e3) != e3
| op(e2,e3) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
( op(e3,e3) = e3
| epred7_0
| op(e2,e3) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_40,plain,
( op(e3,e2) = e3
| epred7_0
| op(e3,e3) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,plain,
( epred7_0
| op(e3,e3) != e3
| op(e2,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,plain,
( op(e3,e3) = e3
| epred7_0
| op(e2,e0) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_44,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_45,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_46,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_47,plain,
( epred7_0
| op(e2,e2) != e0
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_48,plain,
( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_49,plain,
( epred7_0
| op(e2,e3) != e3 ),
inference(csr,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_50,plain,
( epred7_0
| op(e2,e3) != e2 ),
inference(spm,[status(thm)],[c_0_39,c_0_36]) ).
cnf(c_0_51,plain,
( epred7_0
| op(e3,e3) != e3
| op(e2,e2) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_52,plain,
( op(e3,e3) = e3
| epred7_0
| op(e2,e2) != e2 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_53,plain,
( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_54,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_55,plain,
op(e2,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_56,plain,
( op(e3,e2) = e3
| epred7_0 ),
inference(csr,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_57,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(e3,e3),e3) ),
inference(fof_nnf,[status(thm)],[ax20]) ).
cnf(c_0_58,plain,
( epred7_0
| op(e2,e0) != e0 ),
inference(csr,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_59,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e0) = e2
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_60,plain,
( op(e2,e3) = e0
| epred7_0
| op(e2,e2) != e0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50]) ).
cnf(c_0_61,plain,
( epred7_0
| op(e2,e2) != e2 ),
inference(csr,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_62,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e0) = e3
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_53]),c_0_54]) ).
cnf(c_0_63,plain,
( epred7_0
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_64,plain,
( epred6_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) = e0
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) = e0
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) = e0
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) = e1
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e1,e1) = e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) = e1
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) = e1
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) = e2
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) = e2
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
| ( op(e2,e2) = e2
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e2,e2) = e3
& op(e2,e3) = e2
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 ) ) ),
introduced(definition) ).
cnf(c_0_65,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(e3,e3),e3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_66,plain,
( op(e2,e3) = e0
| op(e2,e0) = e2
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_61]),c_0_50]) ).
cnf(c_0_67,plain,
( op(e2,e3) = e0
| op(e2,e0) = e3
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_62]),c_0_60]),c_0_63]),c_0_49]) ).
cnf(c_0_68,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_69,plain,
( epred7_0
=> ( epred6_0
| ( op(e3,e3) = e0
& op(e3,e0) = e3
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e3,e3) = e1
& op(e3,e1) = e3
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_29]),c_0_64]) ).
cnf(c_0_70,plain,
( epred7_0
| op(e2,e2) != e1
| op(e2,e3) != e0 ),
inference(spm,[status(thm)],[c_0_65,c_0_36]) ).
cnf(c_0_71,plain,
( op(e2,e3) = e0
| epred7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_72,plain,
op(e2,e2) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
fof(c_0_73,plain,
( ( op(e3,e3) = e1
| op(e3,e3) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e3,e1) = e3
| op(e3,e3) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e0) != e0
| op(e3,e3) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e3,e3) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e2) != e2
| op(e3,e3) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e3) != e3
| op(e3,e3) = e0
| epred6_0
| ~ epred7_0 )
& ( op(e3,e3) = e1
| op(e3,e0) = e3
| epred6_0
| ~ epred7_0 )
& ( op(e3,e1) = e3
| op(e3,e0) = e3
| epred6_0
| ~ epred7_0 )
& ( op(e1,e0) != e0
| op(e3,e0) = e3
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e3,e0) = e3
| epred6_0
| ~ epred7_0 )
& ( op(e1,e2) != e2
| op(e3,e0) = e3
| epred6_0
| ~ epred7_0 )
& ( op(e1,e3) != e3
| op(e3,e0) = e3
| epred6_0
| ~ epred7_0 )
& ( op(e3,e3) = e1
| op(e0,e0) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e3,e1) = e3
| op(e0,e0) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e0) != e0
| op(e0,e0) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e0,e0) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e2) != e2
| op(e0,e0) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e1,e3) != e3
| op(e0,e0) != e0
| epred6_0
| ~ epred7_0 )
& ( op(e3,e3) = e1
| op(e0,e1) != e1
| epred6_0
| ~ epred7_0 )
& ( op(e3,e1) = e3
| op(e0,e1) != e1
| epred6_0
| ~ epred7_0 )
& ( op(e1,e0) != e0
| op(e0,e1) != e1
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e0,e1) != e1
| epred6_0
| ~ epred7_0 )
& ( op(e1,e2) != e2
| op(e0,e1) != e1
| epred6_0
| ~ epred7_0 )
& ( op(e1,e3) != e3
| op(e0,e1) != e1
| epred6_0
| ~ epred7_0 )
& ( op(e3,e3) = e1
| op(e0,e2) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e3,e1) = e3
| op(e0,e2) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e1,e0) != e0
| op(e0,e2) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e0,e2) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e1,e2) != e2
| op(e0,e2) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e1,e3) != e3
| op(e0,e2) != e2
| epred6_0
| ~ epred7_0 )
& ( op(e3,e3) = e1
| op(e0,e3) != e3
| epred6_0
| ~ epred7_0 )
& ( op(e3,e1) = e3
| op(e0,e3) != e3
| epred6_0
| ~ epred7_0 )
& ( op(e1,e0) != e0
| op(e0,e3) != e3
| epred6_0
| ~ epred7_0 )
& ( op(e1,e1) != e1
| op(e0,e3) != e3
| epred6_0
| ~ epred7_0 )
& ( op(e1,e2) != e2
| op(e0,e3) != e3
| epred6_0
| ~ epred7_0 )
& ( op(e1,e3) != e3
| op(e0,e3) != e3
| epred6_0
| ~ epred7_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])]) ).
cnf(c_0_74,plain,
( epred7_0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_75,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_76,plain,
( epred7_0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_72,c_0_71]) ).
cnf(c_0_77,plain,
( op(e3,e3) = e0
| epred6_0
| op(e1,e1) != e1
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_78,plain,
epred7_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_63]),c_0_61]),c_0_76]) ).
fof(c_0_79,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(e3,e3),e3) ),
inference(fof_nnf,[status(thm)],[ax14]) ).
cnf(c_0_80,plain,
( op(e3,e3) = e1
| op(e3,e3) = e0
| epred6_0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_81,plain,
( op(e3,e3) = e0
| epred6_0
| op(e1,e1) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]) ).
cnf(c_0_82,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_83,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e0 != op(op(e3,e3),e3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_84,plain,
( op(e3,e3) = e1
| op(e3,e3) = e0
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_78])]) ).
cnf(c_0_85,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_86,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_87,plain,
( op(e3,e3) = e0
| epred6_0
| op(e1,e3) != e3
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
fof(c_0_88,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(op(e3,e3),e3) ),
inference(fof_nnf,[status(thm)],[ax12]) ).
cnf(c_0_89,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_90,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e0
| op(e3,e3) = e0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_91,plain,
( op(e3,e3) = e0
| epred6_0
| op(e1,e1) != e2
| op(e1,e3) != e0 ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_92,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e0
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_93,plain,
( op(e3,e3) = e0
| epred6_0
| op(e1,e3) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_78])]) ).
cnf(c_0_94,plain,
( e1 != op(e3,e3)
| e0 != op(op(e3,e3),op(e3,e3))
| e2 != op(op(e3,e3),e3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_95,plain,
( op(e3,e3) = e0
| op(e1,e1) = e3
| epred6_0
| op(e1,e3) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
cnf(c_0_96,plain,
( op(e3,e3) = e0
| op(e1,e3) = e0
| op(e1,e3) = e2
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_84]),c_0_93]) ).
cnf(c_0_97,plain,
( op(e3,e1) = e3
| op(e3,e3) = e0
| epred6_0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_98,plain,
( op(e3,e3) = e0
| epred6_0
| op(e1,e1) != e0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_94,c_0_84]) ).
cnf(c_0_99,plain,
op(e1,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_100,plain,
( op(e1,e3) = e2
| op(e1,e1) = e3
| op(e3,e3) = e0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,plain,
( op(e3,e3) = e0
| op(e3,e1) = e3
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_78])]) ).
cnf(c_0_102,plain,
( op(e1,e1) = e2
| op(e1,e1) = e3
| op(e3,e3) = e0
| epred6_0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_98,c_0_90]) ).
cnf(c_0_103,plain,
( op(e3,e3) = e0
| op(e1,e3) = e2
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
cnf(c_0_104,plain,
( op(e3,e3) = e1
| op(e3,e0) = e3
| epred6_0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_105,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_106,plain,
( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_107,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_108,plain,
( op(e3,e3) = e0
| op(e1,e1) = e3
| op(e1,e1) = e2
| epred6_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_109,plain,
( op(e3,e3) = e1
| op(e3,e0) = e3
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_78])]) ).
cnf(c_0_110,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e0) = e2
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]) ).
cnf(c_0_111,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_112,plain,
( op(e1,e1) = e2
| op(e3,e3) = e0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_108]),c_0_101]) ).
cnf(c_0_113,plain,
( op(e3,e2) = e1
| op(e3,e0) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e3) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
cnf(c_0_114,plain,
( op(e3,e3) = e0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_112]),c_0_103]) ).
cnf(c_0_115,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e3) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_113]),c_0_68]) ).
cnf(c_0_116,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_117,plain,
op(e3,e1) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_118,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_119,plain,
( op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e3) = e2
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_120,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_121,plain,
( op(e3,e2) = e2
| op(e3,e2) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_119]),c_0_46]) ).
cnf(c_0_122,plain,
op(e3,e1) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_123,plain,
( op(e3,e2) = e2
| op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e1) = e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_124,plain,
op(e3,e0) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_125,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e2) = e2
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_114]) ).
fof(c_0_126,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(op(e3,e3),e3) ),
inference(fof_nnf,[status(thm)],[ax6]) ).
cnf(c_0_127,plain,
( op(e3,e3) = e1
| epred6_0
| op(e0,e1) != e1
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
fof(c_0_128,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(e3,e3),e3) ),
inference(fof_nnf,[status(thm)],[ax8]) ).
cnf(c_0_129,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_130,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_131,plain,
( op(e3,e2) = e2
| op(e3,e1) = e2
| epred6_0
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_132,plain,
( op(e3,e3) = e1
| epred6_0
| op(e0,e2) != e2
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_133,plain,
( e0 != op(e3,e3)
| e1 != op(op(e3,e3),op(e3,e3))
| e2 != op(op(e3,e3),e3) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_134,plain,
( op(e3,e3) = e1
| epred6_0
| op(e0,e1) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_78])]) ).
cnf(c_0_135,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_136,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(e3,e3),e3) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_137,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e0) = e2
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_138,plain,
( op(e3,e3) = e1
| op(e3,e1) = e2
| op(e3,e2) = e2
| epred6_0 ),
inference(spm,[status(thm)],[c_0_131,c_0_109]) ).
cnf(c_0_139,plain,
( op(e3,e3) = e1
| epred6_0
| op(e0,e2) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_78])]) ).
cnf(c_0_140,plain,
( epred6_0
| op(e0,e0) != e1
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_133,c_0_114]) ).
cnf(c_0_141,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e0) = e1
| op(e3,e3) = e1
| epred6_0 ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_142,plain,
op(e0,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_143,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_144,plain,
( epred6_0
| op(e0,e0) != e2
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_136,c_0_114]) ).
cnf(c_0_145,plain,
( op(e3,e2) = e2
| op(e3,e3) = e1
| op(e0,e0) = e2
| op(e0,e3) = e2
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]) ).
cnf(c_0_146,plain,
( op(e3,e3) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| epred6_0
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_147,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_148,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_149,plain,
( op(e0,e3) = e2
| op(e3,e3) = e1
| op(e3,e2) = e2
| epred6_0
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_150,plain,
( op(e3,e2) = e2
| op(e3,e3) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| epred6_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_145]),c_0_107]),c_0_146]) ).
cnf(c_0_151,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e0) = e1
| op(e2,e1) != e1 ),
inference(spm,[status(thm)],[c_0_147,c_0_105]) ).
cnf(c_0_152,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_153,plain,
( op(e3,e2) = e2
| op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e2) = e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_148,c_0_121]) ).
cnf(c_0_154,plain,
( op(e0,e2) = e1
| op(e3,e2) = e2
| op(e3,e3) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_107]) ).
cnf(c_0_155,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_156,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_157,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_158,plain,
( op(e3,e3) = e1
| op(e3,e2) = e2
| epred6_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_116]),c_0_107]),c_0_111]) ).
cnf(c_0_159,plain,
( op(e3,e2) = e1
| op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_155]),c_0_111]) ).
cnf(c_0_160,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e0
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_161,plain,
op(e0,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_162,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_163,plain,
( op(e3,e2) = e2
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_158]),c_0_116]) ).
cnf(c_0_164,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e0) = e1
| op(e3,e2) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_159]),c_0_116]) ).
cnf(c_0_165,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_166,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_160,c_0_143]) ).
cnf(c_0_167,plain,
( op(e3,e3) = e1
| epred6_0
| op(e0,e0) != e0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_168,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e0
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_169,plain,
( op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_107]) ).
cnf(c_0_170,plain,
( op(e3,e3) = e1
| epred6_0
| op(e0,e3) != e3
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_171,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e3,e3) != e0 ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_172,plain,
( op(e3,e3) = e1
| epred6_0
| op(e0,e0) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_78])]) ).
cnf(c_0_173,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_174,plain,
( op(e3,e3) = e1
| epred6_0
| op(e0,e3) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_78])]) ).
cnf(c_0_175,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e0
| op(e0,e3) = e2
| op(e0,e3) = e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_171,c_0_114]) ).
cnf(c_0_176,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_177,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| epred6_0 ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_178,plain,
( op(e0,e3) = e2
| op(e0,e2) = e0
| op(e0,e2) = e3
| op(e3,e3) = e1
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_139]) ).
cnf(c_0_179,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e0,e0) = e2
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_109]) ).
cnf(c_0_180,plain,
( op(e3,e3) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| epred6_0
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_161,c_0_141]) ).
cnf(c_0_181,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_182,plain,
op(e0,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_183,plain,
( op(e0,e2) = e3
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e3,e3) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_178]),c_0_107]) ).
cnf(c_0_184,plain,
( op(e2,e2) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| epred6_0
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_144,c_0_179]) ).
cnf(c_0_185,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e3,e3) = e1
| epred6_0 ),
inference(spm,[status(thm)],[c_0_180,c_0_169]) ).
cnf(c_0_186,plain,
( op(e2,e2) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| epred6_0
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_181,c_0_179]) ).
cnf(c_0_187,plain,
( op(e3,e3) = e1
| op(e0,e2) = e0
| op(e0,e2) = e3
| epred6_0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_188,plain,
( op(e0,e2) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| epred6_0 ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_189,plain,
( op(e0,e2) = e3
| op(e0,e2) = e0
| op(e3,e3) = e1
| op(e2,e3) = e1
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_178]),c_0_187]) ).
cnf(c_0_190,plain,
( op(e0,e2) = e3
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_116]) ).
cnf(c_0_191,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_192,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_193,plain,
( op(e3,e1) = e3
| op(e3,e0) = e3
| epred6_0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_194,plain,
op(e0,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_195,plain,
( op(e2,e2) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_190]),c_0_111]) ).
cnf(c_0_196,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e0) = e3
| op(e2,e1) != e3 ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_197,plain,
( op(e3,e1) = e3
| op(e3,e0) = e3
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_78])]) ).
cnf(c_0_198,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e0
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_194,c_0_157]) ).
cnf(c_0_199,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_195]),c_0_116]) ).
cnf(c_0_200,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e0) = e3
| op(e0,e0) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_196,c_0_53]) ).
cnf(c_0_201,plain,
( op(e3,e0) = e3
| epred6_0
| op(e2,e1) != e3 ),
inference(spm,[status(thm)],[c_0_147,c_0_197]) ).
cnf(c_0_202,plain,
( op(e2,e2) = e1
| op(e0,e3) = e0
| op(e0,e3) = e2
| op(e0,e3) = e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_203,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e2,e0) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_176,c_0_200]) ).
cnf(c_0_204,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_201,c_0_53]) ).
cnf(c_0_205,plain,
op(e2,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_206,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e2,e2) = e1
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_202]),c_0_114]) ).
cnf(c_0_207,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e0) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_208,plain,
( op(e3,e3) = e1
| epred6_0
| op(e2,e0) != e3 ),
inference(spm,[status(thm)],[c_0_205,c_0_109]) ).
cnf(c_0_209,plain,
( op(e2,e2) = e1
| op(e0,e3) = e2
| op(e3,e3) = e1
| epred6_0 ),
inference(spm,[status(thm)],[c_0_174,c_0_206]) ).
cnf(c_0_210,plain,
( op(e3,e0) = e3
| epred6_0
| op(e1,e1) != e1
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_211,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_212,plain,
( op(e3,e0) = e3
| epred6_0
| op(e1,e3) != e3
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_213,plain,
( op(e0,e2) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e3,e3) = e1
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_207]),c_0_208]) ).
cnf(c_0_214,plain,
( op(e2,e2) = e1
| op(e0,e2) = e1
| op(e3,e3) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_209]),c_0_107]) ).
cnf(c_0_215,plain,
( op(e3,e0) = e3
| epred6_0
| op(e1,e1) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_78])]) ).
cnf(c_0_216,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_217,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e0) = e3
| op(e3,e1) != e3 ),
inference(spm,[status(thm)],[c_0_99,c_0_211]) ).
cnf(c_0_218,plain,
( op(e3,e0) = e3
| epred6_0
| op(e1,e3) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_78])]) ).
cnf(c_0_219,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e0
| epred6_0
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_140,c_0_162]) ).
cnf(c_0_220,plain,
( op(e2,e2) = e1
| op(e3,e3) = e1
| op(e2,e3) = e3
| op(e2,e2) = e3
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_111]) ).
cnf(c_0_221,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e0) = e1
| op(e3,e0) = e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_222,plain,
( op(e3,e0) = e3
| op(e1,e0) = e3
| op(e1,e2) = e3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_197]),c_0_218]) ).
cnf(c_0_223,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_209]),c_0_172]) ).
fof(c_0_224,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(e2,e2),e2) ),
inference(fof_nnf,[status(thm)],[ax13]) ).
cnf(c_0_225,plain,
( op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e2) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_220]),c_0_116]) ).
cnf(c_0_226,plain,
( op(e1,e2) = e3
| op(e3,e0) = e3
| op(e1,e2) = e1
| op(e1,e3) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_111]) ).
cnf(c_0_227,plain,
( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e3,e3) = e1
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_223]),c_0_109]) ).
cnf(c_0_228,plain,
( e1 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_224]) ).
cnf(c_0_229,plain,
( op(e2,e2) = e3
| op(e2,e2) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_225]),c_0_111]) ).
cnf(c_0_230,plain,
op(e1,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_231,plain,
( op(e1,e2) = e1
| op(e3,e0) = e3
| op(e1,e2) = e3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_226]),c_0_109]) ).
fof(c_0_232,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(op(e2,e2),e2) ),
inference(fof_nnf,[status(thm)],[ax16]) ).
cnf(c_0_233,plain,
( op(e3,e3) = e1
| op(e2,e2) = e1
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_227]),c_0_209]) ).
cnf(c_0_234,plain,
( op(e2,e2) = e3
| epred6_0
| op(e1,e1) != e0
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_235,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_236,plain,
( op(e1,e2) = e3
| op(e3,e0) = e3
| epred6_0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_237,plain,
( op(e3,e0) = e3
| epred6_0
| op(e1,e0) != e0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_238,plain,
( e1 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e0 != op(op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_232]) ).
cnf(c_0_239,plain,
( op(e2,e2) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_233]),c_0_116]) ).
cnf(c_0_240,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_241,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e0) = e0
| op(e2,e2) = e3
| epred6_0
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_242,plain,
( op(e2,e2) = e3
| op(e3,e0) = e3
| op(e1,e2) = e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_236,c_0_229]) ).
cnf(c_0_243,plain,
( op(e3,e0) = e3
| epred6_0
| op(e1,e0) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_78])]) ).
cnf(c_0_244,plain,
( epred6_0
| op(e1,e1) != e3
| op(e1,e2) != e0 ),
inference(spm,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_245,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_230,c_0_240]) ).
cnf(c_0_246,plain,
( op(e3,e0) = e3
| op(e2,e2) = e3
| op(e1,e3) = e0
| epred6_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_54]),c_0_243]) ).
cnf(c_0_247,plain,
op(e1,e1) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_248,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_249,plain,
( epred6_0
| op(e1,e1) != e0
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_228,c_0_239]) ).
cnf(c_0_250,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_251,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e0) = e3
| epred6_0
| op(e1,e2) != e0 ),
inference(spm,[status(thm)],[c_0_244,c_0_211]) ).
cnf(c_0_252,plain,
( op(e1,e2) = e0
| op(e1,e2) = e2
| op(e1,e2) = e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_245,c_0_239]) ).
cnf(c_0_253,plain,
( op(e3,e0) = e3
| op(e1,e2) = e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_236,c_0_239]) ).
cnf(c_0_254,plain,
( op(e2,e2) = e3
| op(e3,e0) = e3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_246]),c_0_114]) ).
cnf(c_0_255,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e0
| op(e1,e2) != e0 ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_256,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e0
| epred6_0
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_249,c_0_248]) ).
cnf(c_0_257,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e0,e1) = e3
| epred6_0
| op(e1,e2) != e0 ),
inference(spm,[status(thm)],[c_0_244,c_0_250]) ).
cnf(c_0_258,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e0,e1) = e3
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_247,c_0_250]) ).
cnf(c_0_259,plain,
( epred6_0
| op(e1,e3) != e3
| op(e0,e1) != e1
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_260,plain,
op(e1,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_261,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e0) = e3
| op(e1,e3) = e3
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_54]) ).
cnf(c_0_262,plain,
( op(e3,e0) = e3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_253]),c_0_254]) ).
cnf(c_0_263,plain,
( epred6_0
| op(e1,e2) != e2
| op(e0,e1) != e1
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_264,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_265,plain,
( op(e1,e2) = e2
| op(e0,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_252]),c_0_256]) ).
cnf(c_0_266,plain,
( op(e1,e2) = e2
| op(e0,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_252]),c_0_258]) ).
cnf(c_0_267,plain,
( epred6_0
| op(e0,e1) != e1
| op(e1,e3) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_259,c_0_78])]) ).
cnf(c_0_268,plain,
( op(e1,e3) = e3
| op(e1,e2) = e2
| op(e1,e2) = e3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_262]) ).
cnf(c_0_269,plain,
( epred6_0
| op(e0,e1) != e1
| op(e1,e2) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_78])]) ).
cnf(c_0_270,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e0) = e3
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_192]),c_0_68]) ).
cnf(c_0_271,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_163]) ).
cnf(c_0_272,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e0,e1) = e3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_266]),c_0_163]) ).
cnf(c_0_273,plain,
( op(e1,e2) = e3
| epred6_0
| op(e0,e1) != e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_269]) ).
cnf(c_0_274,plain,
( op(e0,e0) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_176,c_0_270]) ).
cnf(c_0_275,plain,
op(e3,e2) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_276,plain,
( op(e2,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e0
| op(e3,e1) = e0
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_54]) ).
cnf(c_0_277,plain,
( epred6_0
| op(e1,e0) != e0
| op(e0,e1) != e1
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_278,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e0) = e0
| epred6_0
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_249,c_0_235]) ).
cnf(c_0_279,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e0) = e1
| op(e1,e2) = e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_273,c_0_135]) ).
cnf(c_0_280,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e0) = e2
| epred6_0 ),
inference(spm,[status(thm)],[c_0_274,c_0_262]) ).
cnf(c_0_281,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_282,plain,
( epred6_0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_275,c_0_114]) ).
cnf(c_0_283,plain,
( epred6_0
| op(e1,e3) != e3
| op(e0,e0) != e0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_284,plain,
( epred6_0
| op(e1,e2) != e2
| op(e0,e0) != e0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_285,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_286,plain,
( op(e2,e1) = e0
| op(e3,e1) = e3
| op(e2,e1) = e3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_276]),c_0_114]) ).
cnf(c_0_287,plain,
( epred6_0
| op(e0,e1) != e1
| op(e1,e0) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_277,c_0_78])]) ).
cnf(c_0_288,plain,
( op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e1,e0) = e0
| op(e1,e3) = e0
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_54]) ).
cnf(c_0_289,plain,
( op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e2) = e3
| op(e0,e3) = e3
| epred6_0
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_144,c_0_280]) ).
cnf(c_0_290,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_182,c_0_143]) ).
cnf(c_0_291,plain,
( op(e2,e2) = e0
| op(e0,e2) = e0
| op(e1,e0) = e3
| op(e1,e3) = e3
| epred6_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_281]),c_0_54]),c_0_282]) ).
cnf(c_0_292,plain,
( epred6_0
| op(e0,e0) != e0
| op(e1,e3) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_283,c_0_78])]) ).
cnf(c_0_293,plain,
( epred6_0
| op(e0,e0) != e0
| op(e1,e2) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_284,c_0_78])]) ).
cnf(c_0_294,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e0) = e0
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_191,c_0_285]) ).
cnf(c_0_295,plain,
( op(e2,e1) = e3
| op(e2,e1) = e0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_286]),c_0_262]) ).
cnf(c_0_296,plain,
( op(e1,e3) = e0
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e0) = e1
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_135]) ).
cnf(c_0_297,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e0
| op(e0,e2) = e3
| op(e0,e2) = e2
| epred6_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_157]),c_0_107]),c_0_111]) ).
cnf(c_0_298,plain,
( op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e2) = e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_290,c_0_239]) ).
cnf(c_0_299,plain,
op(e1,e2) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_300,plain,
( op(e1,e3) = e3
| op(e0,e2) = e0
| op(e2,e2) = e0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_291]),c_0_262]) ).
cnf(c_0_301,plain,
( op(e1,e2) = e3
| epred6_0
| op(e0,e0) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_268]),c_0_293]) ).
cnf(c_0_302,plain,
( op(e2,e1) = e3
| op(e0,e0) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_294,c_0_295]) ).
cnf(c_0_303,plain,
op(e2,e1) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_304,plain,
( op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_296]),c_0_114]) ).
cnf(c_0_305,plain,
( op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e3) = e2
| op(e0,e3) = e3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_297]),c_0_298]) ).
cnf(c_0_306,plain,
( op(e2,e2) = e0
| op(e0,e2) = e0
| epred6_0
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_307,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e2,e1) = e3
| op(e1,e2) = e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_308,plain,
( op(e2,e1) = e3
| epred6_0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_303,c_0_295]) ).
cnf(c_0_309,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| epred6_0
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_140,c_0_304]) ).
cnf(c_0_310,plain,
( op(e0,e3) = e2
| op(e0,e2) = e3
| op(e3,e3) = e1
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_305]),c_0_139]) ).
cnf(c_0_311,plain,
( op(e2,e1) = e3
| op(e0,e3) = e0
| op(e0,e2) = e0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_308]) ).
cnf(c_0_312,plain,
( op(e3,e3) = e1
| op(e0,e2) = e3
| op(e0,e2) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_107]) ).
cnf(c_0_313,plain,
( op(e0,e2) = e0
| op(e2,e1) = e3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_311]),c_0_114]) ).
cnf(c_0_314,plain,
( op(e0,e2) = e3
| op(e3,e3) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_312]),c_0_116]),c_0_107]),c_0_111]) ).
cnf(c_0_315,plain,
op(e3,e0) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_316,plain,
( op(e3,e3) = e1
| op(e2,e1) = e3
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_54]) ).
cnf(c_0_317,plain,
( epred6_0
| op(e1,e0) != e0
| op(e0,e3) != e3
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_318,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_319,plain,
( epred6_0
| op(e3,e2) != e3 ),
inference(spm,[status(thm)],[c_0_315,c_0_262]) ).
cnf(c_0_320,plain,
( op(e2,e1) = e3
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_316]),c_0_116]) ).
cnf(c_0_321,plain,
op(e1,e0) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_322,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_323,plain,
( epred6_0
| op(e0,e3) != e3
| op(e1,e0) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_78])]) ).
cnf(c_0_324,plain,
( op(e2,e2) = e3
| op(e0,e2) = e3
| op(e1,e0) = e0
| op(e1,e3) = e0
| epred6_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_318]),c_0_54]),c_0_319]) ).
cnf(c_0_325,plain,
( op(e0,e0) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_320]) ).
cnf(c_0_326,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e0,e0) = e0
| op(e1,e2) != e0 ),
inference(spm,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_327,plain,
( op(e1,e3) = e0
| op(e0,e2) = e3
| op(e2,e2) = e3
| epred6_0
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_323,c_0_324]) ).
cnf(c_0_328,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_325]),c_0_262]) ).
cnf(c_0_329,plain,
( epred6_0
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_303,c_0_320]) ).
cnf(c_0_330,plain,
op(e0,e2) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_331,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e2,e0) = e0
| op(e3,e0) = e0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_252]),c_0_301]) ).
cnf(c_0_332,plain,
( op(e0,e2) = e3
| op(e1,e3) = e0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_329]) ).
cnf(c_0_333,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e2) = e2
| epred6_0
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_330,c_0_331]) ).
cnf(c_0_334,plain,
( op(e0,e2) = e3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_332]),c_0_114]) ).
cnf(c_0_335,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_336,plain,
op(e1,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_337,plain,
( op(e1,e2) = e2
| op(e2,e0) = e0
| op(e3,e0) = e0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_338,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e0) = e0
| op(e0,e1) != e0 ),
inference(spm,[status(thm)],[c_0_335,c_0_235]) ).
cnf(c_0_339,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e0) = e0
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_336,c_0_235]) ).
cnf(c_0_340,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e0) = e0
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_99,c_0_235]) ).
cnf(c_0_341,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_337]),c_0_163]) ).
cnf(c_0_342,plain,
op(e1,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_343,plain,
( op(e1,e0) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_271]),c_0_339]),c_0_340]) ).
cnf(c_0_344,plain,
( op(e2,e0) = e0
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_341]),c_0_54]) ).
cnf(c_0_345,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_344]) ).
cnf(c_0_346,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e0) = e3
| op(e2,e1) != e3 ),
inference(spm,[status(thm)],[c_0_336,c_0_211]) ).
cnf(c_0_347,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e0) = e2
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_130]),c_0_46]) ).
cnf(c_0_348,plain,
( op(e1,e2) = e0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_345]),c_0_114]) ).
cnf(c_0_349,plain,
( op(e1,e0) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_346,c_0_320]) ).
cnf(c_0_350,plain,
( op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e2,e0) != e0 ),
inference(spm,[status(thm)],[c_0_161,c_0_347]) ).
cnf(c_0_351,plain,
( epred6_0
| op(e0,e2) != e0 ),
inference(spm,[status(thm)],[c_0_330,c_0_348]) ).
cnf(c_0_352,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_353,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_349]),c_0_262]) ).
fof(c_0_354,plain,
( epred5_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) = e0
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) = e0
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) = e0
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) = e1
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e1,e1) = e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) = e1
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) = e1
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 )
| ( op(e2,e2) = e0
& op(e2,e0) = e2
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) = e2
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 ) ) ),
introduced(definition) ).
cnf(c_0_355,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e0) = e2
| op(e0,e3) = e0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_344]),c_0_351]) ).
cnf(c_0_356,plain,
( op(e1,e2) = e3
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e0,e3) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_111]) ).
fof(c_0_357,plain,
( epred6_0
=> ( epred5_0
| ( op(e2,e2) = e2
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e2,e2) = e3
& op(e2,e3) = e2
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_64]),c_0_354]) ).
cnf(c_0_358,plain,
op(e2,e1) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_359,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_72,c_0_48]) ).
cnf(c_0_360,plain,
( epred6_0
| op(e2,e3) != e0 ),
inference(spm,[status(thm)],[c_0_39,c_0_114]) ).
cnf(c_0_361,plain,
( op(e0,e3) = e0
| op(e0,e2) = e2
| op(e0,e3) = e2
| epred6_0
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_144,c_0_355]) ).
cnf(c_0_362,plain,
( op(e0,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_356]),c_0_334]) ).
fof(c_0_363,plain,
( ( op(e2,e2) = e3
| op(e2,e2) = e2
| epred5_0
| ~ epred6_0 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| epred5_0
| ~ epred6_0 )
& ( op(e3,e0) != e0
| op(e2,e2) = e2
| epred5_0
| ~ epred6_0 )
& ( op(e3,e1) != e1
| op(e2,e2) = e2
| epred5_0
| ~ epred6_0 )
& ( op(e3,e2) != e2
| op(e2,e2) = e2
| epred5_0
| ~ epred6_0 )
& ( op(e3,e3) != e3
| op(e2,e2) = e2
| epred5_0
| ~ epred6_0 )
& ( op(e2,e2) = e3
| op(e2,e0) != e0
| epred5_0
| ~ epred6_0 )
& ( op(e2,e3) = e2
| op(e2,e0) != e0
| epred5_0
| ~ epred6_0 )
& ( op(e3,e0) != e0
| op(e2,e0) != e0
| epred5_0
| ~ epred6_0 )
& ( op(e3,e1) != e1
| op(e2,e0) != e0
| epred5_0
| ~ epred6_0 )
& ( op(e3,e2) != e2
| op(e2,e0) != e0
| epred5_0
| ~ epred6_0 )
& ( op(e3,e3) != e3
| op(e2,e0) != e0
| epred5_0
| ~ epred6_0 )
& ( op(e2,e2) = e3
| op(e2,e1) != e1
| epred5_0
| ~ epred6_0 )
& ( op(e2,e3) = e2
| op(e2,e1) != e1
| epred5_0
| ~ epred6_0 )
& ( op(e3,e0) != e0
| op(e2,e1) != e1
| epred5_0
| ~ epred6_0 )
& ( op(e3,e1) != e1
| op(e2,e1) != e1
| epred5_0
| ~ epred6_0 )
& ( op(e3,e2) != e2
| op(e2,e1) != e1
| epred5_0
| ~ epred6_0 )
& ( op(e3,e3) != e3
| op(e2,e1) != e1
| epred5_0
| ~ epred6_0 )
& ( op(e2,e2) = e3
| op(e2,e2) != e2
| epred5_0
| ~ epred6_0 )
& ( op(e2,e3) = e2
| op(e2,e2) != e2
| epred5_0
| ~ epred6_0 )
& ( op(e3,e0) != e0
| op(e2,e2) != e2
| epred5_0
| ~ epred6_0 )
& ( op(e3,e1) != e1
| op(e2,e2) != e2
| epred5_0
| ~ epred6_0 )
& ( op(e3,e2) != e2
| op(e2,e2) != e2
| epred5_0
| ~ epred6_0 )
& ( op(e3,e3) != e3
| op(e2,e2) != e2
| epred5_0
| ~ epred6_0 )
& ( op(e2,e2) = e3
| op(e2,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e2,e3) = e2
| op(e2,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e3,e0) != e0
| op(e2,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e3,e1) != e1
| op(e2,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e3,e2) != e2
| op(e2,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e3,e3) != e3
| op(e2,e3) != e3
| epred5_0
| ~ epred6_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_357])]) ).
cnf(c_0_364,plain,
( epred6_0
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_358,c_0_320]) ).
cnf(c_0_365,plain,
( op(e2,e3) = e2
| op(e2,e3) = e3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_239]),c_0_360]) ).
cnf(c_0_366,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| epred6_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_362]),c_0_116]),c_0_107]),c_0_139]) ).
cnf(c_0_367,plain,
( op(e2,e2) = e3
| epred5_0
| op(e2,e2) != e2
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_363]) ).
cnf(c_0_368,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| epred5_0
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_363]) ).
cnf(c_0_369,plain,
( op(e2,e3) = e2
| epred6_0 ),
inference(spm,[status(thm)],[c_0_364,c_0_365]) ).
cnf(c_0_370,plain,
( op(e2,e3) = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_366]),c_0_116]) ).
fof(c_0_371,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(e2,e2),e2) ),
inference(fof_nnf,[status(thm)],[ax24]) ).
cnf(c_0_372,plain,
( op(e2,e2) = e3
| epred5_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[c_0_367,c_0_368]) ).
cnf(c_0_373,plain,
epred6_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_107]) ).
cnf(c_0_374,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_375,plain,
( op(e2,e2) = e2
| epred5_0
| op(e3,e3) != e3
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_363]) ).
cnf(c_0_376,plain,
( epred5_0
| op(e3,e3) != e3
| op(e2,e2) != e2
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_363]) ).
cnf(c_0_377,plain,
( op(e2,e2) = e2
| epred5_0
| op(e3,e2) != e2
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_363]) ).
cnf(c_0_378,plain,
( epred5_0
| op(e3,e2) != e2
| op(e2,e2) != e2
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_363]) ).
fof(c_0_379,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(op(e2,e2),e2) ),
inference(fof_nnf,[status(thm)],[ax26]) ).
cnf(c_0_380,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_371]) ).
cnf(c_0_381,plain,
( op(e2,e2) = e3
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_372,c_0_373])]) ).
cnf(c_0_382,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_275,c_0_374]) ).
cnf(c_0_383,plain,
( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_384,plain,
( epred5_0
| op(e3,e3) != e3
| ~ epred6_0 ),
inference(csr,[status(thm)],[c_0_375,c_0_376]) ).
cnf(c_0_385,plain,
( epred5_0
| op(e3,e2) != e2
| ~ epred6_0 ),
inference(csr,[status(thm)],[c_0_377,c_0_378]) ).
cnf(c_0_386,plain,
( op(e2,e3) = e2
| epred5_0
| op(e2,e2) != e2
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_363]) ).
cnf(c_0_387,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| epred5_0
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_363]) ).
cnf(c_0_388,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e0 != op(op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_379]) ).
cnf(c_0_389,plain,
( epred5_0
| op(e3,e3) != e0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_380,c_0_381]) ).
cnf(c_0_390,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(spm,[status(thm)],[c_0_382,c_0_383]) ).
cnf(c_0_391,plain,
( epred5_0
| op(e3,e3) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_384,c_0_373])]) ).
cnf(c_0_392,plain,
( epred5_0
| op(e3,e2) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_385,c_0_373])]) ).
cnf(c_0_393,plain,
( op(e2,e3) = e2
| epred5_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[c_0_386,c_0_387]) ).
cnf(c_0_394,plain,
( epred5_0
| op(e3,e3) != e1
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_388,c_0_381]) ).
cnf(c_0_395,plain,
( op(e3,e3) = e2
| op(e3,e2) = e0
| op(e3,e2) = e3
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_390]),c_0_383]),c_0_391]),c_0_392]) ).
cnf(c_0_396,plain,
( op(e2,e3) = e2
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_393,c_0_373])]) ).
cnf(c_0_397,plain,
( op(e3,e3) = e2
| op(e3,e3) = e0
| epred5_0
| op(e3,e2) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_374]),c_0_391]) ).
cnf(c_0_398,plain,
( op(e3,e2) = e3
| op(e3,e2) = e0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_395]),c_0_396]) ).
fof(c_0_399,plain,
( epred4_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) = e0
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) = e0
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) = e0
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) = e1
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e1,e1) = e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
| ( op(e1,e1) = e2
& op(e1,e2) = e1
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) = e1
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 ) ) ),
introduced(definition) ).
cnf(c_0_400,plain,
( op(e3,e2) = e3
| op(e3,e3) = e0
| op(e3,e3) = e2
| epred5_0 ),
inference(spm,[status(thm)],[c_0_397,c_0_398]) ).
fof(c_0_401,plain,
( epred5_0
=> ( epred4_0
| ( op(e2,e2) = e0
& op(e2,e0) = e2
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e2,e2) = e1
& op(e2,e1) = e2
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_354]),c_0_399]) ).
cnf(c_0_402,plain,
( op(e3,e3) = e2
| op(e3,e2) = e3
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_400]),c_0_398]) ).
fof(c_0_403,plain,
( ( op(e2,e2) = e1
| op(e2,e2) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e1) = e2
| op(e2,e2) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e1,e0) != e0
| op(e2,e2) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e1,e1) != e1
| op(e2,e2) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e1,e2) != e2
| op(e2,e2) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e1,e3) != e3
| op(e2,e2) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e1
| op(e2,e0) = e2
| epred4_0
| ~ epred5_0 )
& ( op(e2,e1) = e2
| op(e2,e0) = e2
| epred4_0
| ~ epred5_0 )
& ( op(e1,e0) != e0
| op(e2,e0) = e2
| epred4_0
| ~ epred5_0 )
& ( op(e1,e1) != e1
| op(e2,e0) = e2
| epred4_0
| ~ epred5_0 )
& ( op(e1,e2) != e2
| op(e2,e0) = e2
| epred4_0
| ~ epred5_0 )
& ( op(e1,e3) != e3
| op(e2,e0) = e2
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e1
| op(e0,e0) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e1) = e2
| op(e0,e0) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e1,e0) != e0
| op(e0,e0) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e1,e1) != e1
| op(e0,e0) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e1,e2) != e2
| op(e0,e0) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e1,e3) != e3
| op(e0,e0) != e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e1
| op(e0,e1) != e1
| epred4_0
| ~ epred5_0 )
& ( op(e2,e1) = e2
| op(e0,e1) != e1
| epred4_0
| ~ epred5_0 )
& ( op(e1,e0) != e0
| op(e0,e1) != e1
| epred4_0
| ~ epred5_0 )
& ( op(e1,e1) != e1
| op(e0,e1) != e1
| epred4_0
| ~ epred5_0 )
& ( op(e1,e2) != e2
| op(e0,e1) != e1
| epred4_0
| ~ epred5_0 )
& ( op(e1,e3) != e3
| op(e0,e1) != e1
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e1
| op(e0,e2) != e2
| epred4_0
| ~ epred5_0 )
& ( op(e2,e1) = e2
| op(e0,e2) != e2
| epred4_0
| ~ epred5_0 )
& ( op(e1,e0) != e0
| op(e0,e2) != e2
| epred4_0
| ~ epred5_0 )
& ( op(e1,e1) != e1
| op(e0,e2) != e2
| epred4_0
| ~ epred5_0 )
& ( op(e1,e2) != e2
| op(e0,e2) != e2
| epred4_0
| ~ epred5_0 )
& ( op(e1,e3) != e3
| op(e0,e2) != e2
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e1
| op(e0,e3) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e1) = e2
| op(e0,e3) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e1,e0) != e0
| op(e0,e3) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e1,e1) != e1
| op(e0,e3) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e1,e2) != e2
| op(e0,e3) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e1,e3) != e3
| op(e0,e3) != e3
| epred4_0
| ~ epred5_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_401])]) ).
cnf(c_0_404,plain,
( op(e3,e2) = e3
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_402]),c_0_396]) ).
cnf(c_0_405,plain,
( op(e2,e2) = e0
| epred4_0
| op(e1,e1) != e1
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_403]) ).
cnf(c_0_406,plain,
epred5_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_404]),c_0_381]) ).
cnf(c_0_407,plain,
( op(e2,e2) = e1
| op(e2,e2) = e0
| epred4_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_403]) ).
cnf(c_0_408,plain,
( op(e2,e2) = e0
| epred4_0
| op(e1,e1) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_405,c_0_406])]) ).
cnf(c_0_409,plain,
( op(e2,e2) = e1
| op(e2,e2) = e0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_407,c_0_406])]) ).
cnf(c_0_410,plain,
( op(e2,e2) = e0
| epred4_0
| op(e1,e2) != e2
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_403]) ).
cnf(c_0_411,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e0
| op(e2,e2) = e0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_408,c_0_82]) ).
cnf(c_0_412,plain,
( op(e2,e2) = e0
| epred4_0
| op(e1,e1) != e3
| op(e1,e2) != e0 ),
inference(spm,[status(thm)],[c_0_238,c_0_409]) ).
cnf(c_0_413,plain,
( op(e2,e2) = e0
| epred4_0
| op(e1,e2) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_410,c_0_406])]) ).
cnf(c_0_414,plain,
( op(e2,e2) = e0
| op(e1,e1) = e2
| epred4_0
| op(e1,e2) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_411]),c_0_412]) ).
cnf(c_0_415,plain,
( op(e2,e2) = e0
| op(e1,e2) = e0
| op(e1,e2) = e3
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_409]),c_0_413]) ).
cnf(c_0_416,plain,
( op(e2,e1) = e2
| op(e2,e2) = e0
| epred4_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_403]) ).
cnf(c_0_417,plain,
( op(e2,e2) = e0
| epred4_0
| op(e1,e1) != e0
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_228,c_0_409]) ).
cnf(c_0_418,plain,
( op(e1,e2) = e3
| op(e1,e1) = e2
| op(e2,e2) = e0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_414,c_0_415]) ).
cnf(c_0_419,plain,
( op(e2,e2) = e0
| op(e2,e1) = e2
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_416,c_0_406])]) ).
cnf(c_0_420,plain,
( op(e1,e1) = e2
| op(e1,e1) = e3
| op(e2,e2) = e0
| epred4_0
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_417,c_0_411]) ).
cnf(c_0_421,plain,
( op(e2,e2) = e0
| op(e1,e2) = e3
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_418]),c_0_419]) ).
cnf(c_0_422,plain,
( op(e2,e2) = e0
| op(e1,e1) = e3
| op(e1,e1) = e2
| epred4_0 ),
inference(spm,[status(thm)],[c_0_420,c_0_421]) ).
cnf(c_0_423,plain,
op(e0,e0) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
fof(c_0_424,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(e2,e2),e2) ),
inference(fof_nnf,[status(thm)],[ax10]) ).
cnf(c_0_425,plain,
( op(e1,e1) = e2
| op(e2,e2) = e0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_422]),c_0_421]) ).
cnf(c_0_426,plain,
( op(e2,e2) = e1
| epred4_0
| op(e0,e0) != e0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_403]) ).
cnf(c_0_427,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e0
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_423,c_0_162]) ).
cnf(c_0_428,plain,
( op(e2,e2) = e1
| epred4_0
| op(e0,e2) != e2
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_403]) ).
cnf(c_0_429,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_424]) ).
cnf(c_0_430,plain,
( op(e2,e2) = e0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_425]),c_0_419]) ).
cnf(c_0_431,plain,
( op(e2,e2) = e1
| epred4_0
| op(e0,e0) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_426,c_0_406])]) ).
cnf(c_0_432,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e0
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_427,c_0_143]) ).
cnf(c_0_433,plain,
( op(e2,e2) = e1
| epred4_0
| op(e0,e2) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_428,c_0_406])]) ).
cnf(c_0_434,plain,
( epred4_0
| op(e0,e0) != e3
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_429,c_0_430]) ).
cnf(c_0_435,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e2) = e0
| op(e0,e2) = e3
| op(e2,e2) = e1
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_432]),c_0_433]) ).
fof(c_0_436,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(e2,e2),e2) ),
inference(fof_nnf,[status(thm)],[ax7]) ).
cnf(c_0_437,plain,
( op(e2,e2) = e1
| epred4_0
| op(e0,e1) != e1
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_403]) ).
cnf(c_0_438,plain,
( op(e2,e2) = e1
| op(e0,e2) = e3
| op(e0,e2) = e0
| op(e0,e0) = e2
| epred4_0
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_434,c_0_435]) ).
cnf(c_0_439,plain,
( op(e2,e2) = e1
| op(e2,e0) = e2
| epred4_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_403]) ).
cnf(c_0_440,plain,
( e0 != op(e2,e2)
| e1 != op(op(e2,e2),op(e2,e2))
| e3 != op(op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_436]) ).
cnf(c_0_441,plain,
( op(e2,e2) = e1
| epred4_0
| op(e0,e1) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_437,c_0_406])]) ).
cnf(c_0_442,plain,
( op(e0,e2) = e3
| op(e0,e2) = e0
| op(e0,e0) = e2
| op(e2,e2) = e1
| epred4_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_143]),c_0_111]),c_0_116]),c_0_433]) ).
cnf(c_0_443,plain,
( op(e2,e2) = e1
| op(e2,e0) = e2
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_439,c_0_406])]) ).
cnf(c_0_444,plain,
( epred4_0
| op(e0,e0) != e1
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_440,c_0_430]) ).
cnf(c_0_445,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| epred4_0 ),
inference(spm,[status(thm)],[c_0_441,c_0_135]) ).
cnf(c_0_446,plain,
( op(e2,e2) = e1
| op(e0,e2) = e0
| op(e0,e2) = e3
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_442]),c_0_443]) ).
cnf(c_0_447,plain,
( op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e0) = e2
| op(e0,e3) = e2
| op(e2,e2) = e1
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_347]),c_0_433]) ).
cnf(c_0_448,plain,
( op(e2,e2) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| epred4_0
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_444,c_0_445]) ).
cnf(c_0_449,plain,
( op(e0,e2) = e3
| op(e2,e2) = e1
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_446]),c_0_430]) ).
fof(c_0_450,plain,
( epred3_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) = e0
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) = e0
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) = e0
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 )
| ( op(e1,e1) = e0
& op(e1,e0) = e1
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e1,e1) = e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 ) ) ),
introduced(definition) ).
cnf(c_0_451,plain,
( op(e2,e2) = e1
| op(e0,e3) = e2
| op(e0,e3) = e0
| op(e0,e2) = e0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_447]),c_0_443]) ).
cnf(c_0_452,plain,
( op(e0,e3) = e1
| op(e2,e2) = e1
| epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_449]),c_0_111]) ).
fof(c_0_453,plain,
( epred4_0
=> ( epred3_0
| ( op(e1,e1) = e2
& op(e1,e2) = e1
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e1,e1) = e3
& op(e1,e3) = e1
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_399]),c_0_450]) ).
cnf(c_0_454,plain,
( op(e0,e2) = e0
| op(e2,e2) = e1
| epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_452]),c_0_107]),c_0_116]) ).
fof(c_0_455,plain,
( ( op(e1,e1) = e3
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e1,e3) = e1
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e0) != e0
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e1) != e1
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) != e3
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e1,e1) = e3
| op(e1,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e0) != e0
| op(e1,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e1) != e1
| op(e1,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e2
| op(e1,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) != e3
| op(e1,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e1,e1) = e3
| op(e2,e0) != e0
| epred3_0
| ~ epred4_0 )
& ( op(e1,e3) = e1
| op(e2,e0) != e0
| epred3_0
| ~ epred4_0 )
& ( 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(e1,e1) = e3
| op(e2,e1) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e1,e3) = e1
| op(e2,e1) != e1
| 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(e1,e1) = e3
| op(e2,e2) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e1,e3) = e1
| op(e2,e2) != e2
| 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(e1,e1) = e3
| op(e2,e3) != e3
| epred3_0
| ~ epred4_0 )
& ( op(e1,e3) = e1
| op(e2,e3) != e3
| 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 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_453])]) ).
cnf(c_0_456,plain,
( op(e2,e2) = e1
| epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_454]),c_0_54]) ).
cnf(c_0_457,plain,
( op(e1,e3) = e1
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_455]) ).
cnf(c_0_458,plain,
epred4_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_456]),c_0_116]) ).
cnf(c_0_459,plain,
( op(e1,e3) = e1
| epred3_0
| op(e2,e1) != e1
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_455]) ).
cnf(c_0_460,plain,
( op(e1,e3) = e1
| op(e1,e1) = e2
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_457,c_0_458])]) ).
cnf(c_0_461,plain,
( op(e1,e1) = e3
| op(e1,e2) = e1
| epred3_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_455]) ).
cnf(c_0_462,plain,
( op(e1,e3) = e1
| epred3_0
| op(e2,e1) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_459,c_0_458])]) ).
cnf(c_0_463,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_464,plain,
( op(e1,e3) = e1
| epred3_0
| op(e2,e1) != e2 ),
inference(spm,[status(thm)],[c_0_336,c_0_460]) ).
cnf(c_0_465,plain,
( op(e1,e2) = e1
| epred3_0
| op(e3,e1) != e1
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_455]) ).
cnf(c_0_466,plain,
( op(e1,e2) = e1
| op(e1,e1) = e3
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_461,c_0_458])]) ).
cnf(c_0_467,plain,
( op(e2,e1) = e3
| op(e2,e1) = e0
| op(e1,e3) = e1
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_463]),c_0_464]) ).
cnf(c_0_468,plain,
( op(e1,e2) = e1
| epred3_0
| op(e3,e1) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_465,c_0_458])]) ).
cnf(c_0_469,plain,
( op(e1,e2) = e1
| epred3_0
| op(e3,e1) != e3 ),
inference(spm,[status(thm)],[c_0_99,c_0_466]) ).
cnf(c_0_470,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| epred3_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_455]) ).
cnf(c_0_471,plain,
( op(e1,e2) = e1
| epred3_0
| op(e3,e3) != e3
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_455]) ).
cnf(c_0_472,plain,
( op(e2,e1) = e0
| op(e2,e1) = e3
| epred3_0
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_299,c_0_467]) ).
cnf(c_0_473,plain,
( op(e3,e1) = e2
| op(e3,e1) = e0
| op(e1,e2) = e1
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_118]),c_0_469]) ).
cnf(c_0_474,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e0
| op(e1,e3) = e0
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(spm,[status(thm)],[c_0_92,c_0_374]) ).
cnf(c_0_475,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_470,c_0_458])]) ).
cnf(c_0_476,plain,
( op(e1,e2) = e1
| epred3_0
| op(e3,e3) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_471,c_0_458])]) ).
fof(c_0_477,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(e1,e1),e1) ),
inference(fof_nnf,[status(thm)],[ax25]) ).
cnf(c_0_478,plain,
( op(e3,e1) = e0
| op(e3,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_472,c_0_473]) ).
cnf(c_0_479,plain,
( op(e1,e2) = e1
| op(e3,e3) = e0
| op(e3,e3) = e2
| epred3_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_475]),c_0_116]),c_0_107]),c_0_111]),c_0_476]) ).
cnf(c_0_480,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(e1,e1),e1) ),
inference(split_conjunct,[status(thm)],[c_0_477]) ).
cnf(c_0_481,plain,
( op(e2,e1) = e0
| op(e2,e1) = e3
| op(e3,e1) = e2
| epred3_0
| op(e3,e3) != e0 ),
inference(spm,[status(thm)],[c_0_122,c_0_478]) ).
cnf(c_0_482,plain,
( op(e3,e3) = e2
| op(e3,e3) = e0
| op(e2,e1) = e3
| op(e2,e1) = e0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_472,c_0_479]) ).
fof(c_0_483,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(e1,e1),e1) ),
inference(fof_nnf,[status(thm)],[ax28]) ).
cnf(c_0_484,plain,
( op(e1,e2) = e1
| epred3_0
| op(e3,e3) != e0
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[c_0_480,c_0_466]) ).
cnf(c_0_485,plain,
( op(e3,e3) = e2
| op(e3,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_481,c_0_482]) ).
cnf(c_0_486,plain,
( op(e1,e2) = e1
| epred3_0
| op(e2,e1) != e3 ),
inference(spm,[status(thm)],[c_0_336,c_0_466]) ).
cnf(c_0_487,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(e1,e1),e1) ),
inference(split_conjunct,[status(thm)],[c_0_483]) ).
cnf(c_0_488,plain,
( op(e2,e1) = e0
| op(e3,e3) = e2
| op(e1,e2) = e1
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_482]),c_0_485]),c_0_486]) ).
cnf(c_0_489,plain,
( op(e1,e2) = e1
| epred3_0
| op(e3,e3) != e2
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_487,c_0_466]) ).
cnf(c_0_490,plain,
( op(e3,e3) = e2
| op(e2,e1) = e3
| op(e2,e1) = e0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_472,c_0_488]) ).
cnf(c_0_491,plain,
( op(e1,e3) = e1
| epred3_0
| op(e2,e2) != e2
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_455]) ).
cnf(c_0_492,plain,
( op(e2,e1) = e0
| op(e1,e2) = e1
| epred3_0
| op(e3,e1) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_490]),c_0_486]) ).
cnf(c_0_493,plain,
( op(e1,e3) = e1
| epred3_0
| op(e1,e2) != e2 ),
inference(spm,[status(thm)],[c_0_247,c_0_460]) ).
cnf(c_0_494,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_495,plain,
( op(e1,e3) = e1
| epred3_0
| op(e2,e2) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_491,c_0_458])]) ).
cnf(c_0_496,plain,
( op(e3,e1) = e2
| op(e1,e2) = e1
| op(e2,e1) = e0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_478]),c_0_486]) ).
cnf(c_0_497,plain,
( op(e3,e2) = e2
| op(e0,e2) = e2
| op(e1,e3) = e1
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_494]),c_0_495]) ).
cnf(c_0_498,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_499,plain,
( op(e3,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_472,c_0_496]) ).
cnf(c_0_500,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_455]) ).
cnf(c_0_501,plain,
( op(e0,e2) = e2
| op(e3,e2) = e2
| epred3_0
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_299,c_0_497]) ).
cnf(c_0_502,plain,
( epred3_0
| op(e3,e2) != e2
| op(e2,e2) != e2
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_455]) ).
cnf(c_0_503,plain,
( op(e1,e1) = e2
| epred3_0
| op(e3,e0) != e0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_455]) ).
cnf(c_0_504,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e0) = e0
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_147,c_0_498]) ).
cnf(c_0_505,plain,
( op(e2,e1) = e0
| op(e2,e1) = e3
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_499]),c_0_490]) ).
cnf(c_0_506,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_500,c_0_458])]) ).
cnf(c_0_507,plain,
( op(e3,e1) = e0
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e0,e2) = e2
| epred3_0 ),
inference(spm,[status(thm)],[c_0_501,c_0_473]) ).
cnf(c_0_508,plain,
( epred3_0
| op(e2,e2) != e2
| op(e3,e2) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_502,c_0_458])]) ).
cnf(c_0_509,plain,
( op(e1,e2) = e1
| epred3_0
| op(e3,e0) != e0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_455]) ).
fof(c_0_510,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(op(e1,e1),e1) ),
inference(fof_nnf,[status(thm)],[ax19]) ).
cnf(c_0_511,plain,
( op(e1,e1) = e2
| epred3_0
| op(e3,e0) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_503,c_0_458])]) ).
cnf(c_0_512,plain,
( op(e2,e1) = e3
| op(e3,e0) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_504,c_0_505]) ).
cnf(c_0_513,plain,
( op(e1,e1) = e2
| epred3_0
| op(e2,e1) != e3 ),
inference(spm,[status(thm)],[c_0_336,c_0_506]) ).
cnf(c_0_514,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(spm,[status(thm)],[c_0_245,c_0_75]) ).
cnf(c_0_515,plain,
( op(e3,e1) = e2
| op(e3,e1) = e0
| epred3_0
| op(e2,e2) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_507]),c_0_508]) ).
cnf(c_0_516,plain,
( op(e1,e2) = e1
| epred3_0
| op(e3,e0) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_509,c_0_458])]) ).
cnf(c_0_517,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,e1),op(e1,e1))
| e3 != op(op(e1,e1),e1) ),
inference(split_conjunct,[status(thm)],[c_0_510]) ).
cnf(c_0_518,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e1,e1) = e2
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_512]),c_0_513]) ).
cnf(c_0_519,plain,
( op(e2,e1) = e3
| epred3_0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_303,c_0_505]) ).
cnf(c_0_520,plain,
( op(e3,e1) = e0
| op(e3,e1) = e2
| op(e2,e2) = e0
| op(e2,e2) = e3
| epred3_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_473]),c_0_116]),c_0_107]),c_0_111]),c_0_515]) ).
cnf(c_0_521,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e1,e2) = e1
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_512]),c_0_486]) ).
cnf(c_0_522,plain,
( op(e3,e2) = e0
| op(e3,e3) = e0
| epred3_0
| op(e2,e2) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_518]),c_0_519]) ).
cnf(c_0_523,plain,
( op(e2,e2) = e3
| op(e2,e2) = e0
| op(e3,e1) = e2
| epred3_0
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_147,c_0_520]) ).
cnf(c_0_524,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e0,e2) = e0
| epred3_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_521]),c_0_116]),c_0_522]) ).
cnf(c_0_525,plain,
( op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e2) = e2
| op(e0,e2) = e2
| epred3_0 ),
inference(spm,[status(thm)],[c_0_501,c_0_521]) ).
cnf(c_0_526,plain,
( op(e1,e2) = e1
| epred3_0
| op(e3,e2) != e2
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_455]) ).
cnf(c_0_527,plain,
( op(e1,e3) = e1
| epred3_0
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[c_0_99,c_0_460]) ).
cnf(c_0_528,plain,
( op(e2,e1) = e3
| op(e3,e1) = e2
| op(e2,e2) = e3
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_505]),c_0_519]) ).
cnf(c_0_529,plain,
( op(e3,e2) = e2
| op(e3,e2) = e0
| op(e3,e3) = e0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_525]),c_0_46]) ).
cnf(c_0_530,plain,
( op(e1,e2) = e1
| epred3_0
| op(e3,e2) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_526,c_0_458])]) ).
cnf(c_0_531,plain,
( op(e2,e2) = e3
| op(e2,e1) = e3
| op(e1,e3) = e1
| epred3_0 ),
inference(spm,[status(thm)],[c_0_527,c_0_528]) ).
cnf(c_0_532,plain,
( op(e3,e2) = e0
| op(e1,e2) = e1
| epred3_0
| op(e3,e1) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_529]),c_0_530]) ).
cnf(c_0_533,plain,
( op(e2,e1) = e3
| op(e2,e2) = e3
| epred3_0
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_299,c_0_531]) ).
cnf(c_0_534,plain,
( op(e2,e2) = e3
| op(e2,e1) = e3
| epred3_0
| op(e3,e3) != e2 ),
inference(spm,[status(thm)],[c_0_122,c_0_528]) ).
cnf(c_0_535,plain,
( op(e2,e2) = e3
| op(e1,e2) = e1
| op(e3,e2) = e0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_528]),c_0_486]) ).
cnf(c_0_536,plain,
( op(e3,e3) = e0
| op(e2,e2) = e3
| op(e2,e1) = e3
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_479]),c_0_534]) ).
cnf(c_0_537,plain,
( op(e3,e2) = e0
| op(e2,e2) = e3
| op(e2,e1) = e3
| epred3_0 ),
inference(spm,[status(thm)],[c_0_533,c_0_535]) ).
cnf(c_0_538,plain,
( op(e2,e1) = e3
| op(e2,e2) = e3
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_536]),c_0_537]) ).
cnf(c_0_539,plain,
( op(e1,e1) = e2
| epred3_0
| op(e3,e1) != e1
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_455]) ).
fof(c_0_540,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(e1,e1),e1) ),
inference(fof_nnf,[status(thm)],[ax22]) ).
cnf(c_0_541,plain,
( op(e2,e2) = e3
| op(e1,e1) = e2
| epred3_0 ),
inference(spm,[status(thm)],[c_0_513,c_0_538]) ).
cnf(c_0_542,plain,
( op(e1,e1) = e2
| epred3_0
| op(e3,e1) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_539,c_0_458])]) ).
cnf(c_0_543,plain,
( op(e1,e1) = e2
| epred3_0
| op(e3,e1) != e3 ),
inference(spm,[status(thm)],[c_0_99,c_0_506]) ).
cnf(c_0_544,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(e1,e1),e1) ),
inference(split_conjunct,[status(thm)],[c_0_540]) ).
cnf(c_0_545,plain,
( op(e2,e2) = e3
| op(e1,e2) = e1
| epred3_0 ),
inference(spm,[status(thm)],[c_0_486,c_0_538]) ).
cnf(c_0_546,plain,
( op(e2,e2) = e3
| epred3_0
| op(e2,e2) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_541]),c_0_538]) ).
cnf(c_0_547,plain,
( op(e3,e1) = e2
| op(e3,e1) = e0
| op(e1,e1) = e2
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_118]),c_0_543]) ).
cnf(c_0_548,plain,
( op(e1,e3) = e1
| epred3_0
| op(e2,e2) != e3
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_544,c_0_460]) ).
cnf(c_0_549,plain,
( op(e2,e2) = e2
| op(e2,e2) = e3
| epred3_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_545]),c_0_116]),c_0_107]),c_0_111]),c_0_546]) ).
cnf(c_0_550,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e0
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_299,c_0_86]) ).
cnf(c_0_551,plain,
( op(e3,e1) = e0
| op(e3,e1) = e2
| epred3_0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_89,c_0_547]) ).
cnf(c_0_552,plain,
( op(e1,e3) = e1
| epred3_0
| op(e2,e1) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_549]),c_0_495]) ).
cnf(c_0_553,plain,
( op(e3,e1) = e0
| op(e3,e1) = e2
| op(e1,e3) = e0
| op(e1,e3) = e3
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_473]),c_0_551]) ).
cnf(c_0_554,plain,
( op(e2,e1) = e3
| op(e1,e3) = e1
| epred3_0 ),
inference(spm,[status(thm)],[c_0_552,c_0_505]) ).
cnf(c_0_555,plain,
( op(e2,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e0
| epred3_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_554]),c_0_116]),c_0_111]) ).
cnf(c_0_556,plain,
( op(e3,e1) = e2
| op(e2,e1) = e3
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_555]),c_0_505]) ).
fof(c_0_557,plain,
( epred2_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) = e0
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 )
| ( op(e0,e0) = e2
& op(e0,e2) = e0
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) = e0
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 ) ) ),
introduced(definition) ).
cnf(c_0_558,plain,
( op(e2,e1) = e3
| epred3_0
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_299,c_0_554]) ).
cnf(c_0_559,plain,
( op(e2,e1) = e3
| epred3_0
| op(e3,e3) != e2 ),
inference(spm,[status(thm)],[c_0_122,c_0_556]) ).
fof(c_0_560,plain,
( epred3_0
=> ( epred2_0
| ( op(e1,e1) = e0
& op(e1,e0) = e1
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e1,e1) = e1
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_450]),c_0_557]) ).
cnf(c_0_561,plain,
( op(e3,e3) = e0
| op(e2,e1) = e3
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_479]),c_0_559]) ).
cnf(c_0_562,plain,
( op(e2,e2) = e3
| op(e3,e2) = e2
| op(e0,e2) = e2
| epred3_0 ),
inference(spm,[status(thm)],[c_0_501,c_0_545]) ).
fof(c_0_563,plain,
( ( op(e1,e1) = e1
| op(e1,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e1,e0) != e0
| op(e1,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e1,e2) != e2
| op(e1,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e1,e3) != e3
| op(e1,e1) = e0
| epred2_0
| ~ epred3_0 )
& ( op(e1,e1) = e1
| op(e1,e0) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e0) != e0
| op(e1,e0) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e1) != e1
| op(e1,e0) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e2) != e2
| op(e1,e0) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e3) != e3
| op(e1,e0) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e1) = e1
| op(e0,e0) != e0
| epred2_0
| ~ epred3_0 )
& ( op(e1,e0) != e0
| op(e0,e0) != e0
| epred2_0
| ~ epred3_0 )
& ( op(e1,e1) != e1
| op(e0,e0) != e0
| epred2_0
| ~ epred3_0 )
& ( op(e1,e2) != e2
| op(e0,e0) != e0
| epred2_0
| ~ epred3_0 )
& ( op(e1,e3) != e3
| op(e0,e0) != e0
| epred2_0
| ~ epred3_0 )
& ( op(e1,e1) = e1
| op(e0,e1) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e0) != e0
| op(e0,e1) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e1) != e1
| op(e0,e1) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e2) != e2
| op(e0,e1) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e3) != e3
| op(e0,e1) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e1,e1) = e1
| op(e0,e2) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e1,e0) != e0
| op(e0,e2) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e1,e1) != e1
| op(e0,e2) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e1,e2) != e2
| op(e0,e2) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e1,e3) != e3
| op(e0,e2) != e2
| epred2_0
| ~ epred3_0 )
& ( op(e1,e1) = e1
| op(e0,e3) != e3
| epred2_0
| ~ epred3_0 )
& ( op(e1,e0) != e0
| op(e0,e3) != e3
| epred2_0
| ~ epred3_0 )
& ( op(e1,e1) != e1
| op(e0,e3) != e3
| epred2_0
| ~ epred3_0 )
& ( op(e1,e2) != e2
| op(e0,e3) != e3
| epred2_0
| ~ epred3_0 )
& ( op(e1,e3) != e3
| op(e0,e3) != e3
| epred2_0
| ~ epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_560])]) ).
cnf(c_0_564,plain,
( op(e1,e2) = e1
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_561]),c_0_556]),c_0_486]) ).
cnf(c_0_565,plain,
( op(e3,e2) = e2
| op(e2,e2) = e3
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_562]),c_0_549]) ).
cnf(c_0_566,plain,
( op(e1,e1) = e0
| epred2_0
| op(e1,e1) != e1
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_563]) ).
cnf(c_0_567,plain,
( op(e1,e1) = e1
| op(e1,e1) = e0
| epred2_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_563]) ).
cnf(c_0_568,plain,
( op(e2,e1) = e3
| epred3_0 ),
inference(spm,[status(thm)],[c_0_558,c_0_564]) ).
cnf(c_0_569,plain,
( op(e2,e2) = e3
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_565]),c_0_549]) ).
cnf(c_0_570,plain,
( op(e1,e1) = e1
| epred2_0
| op(e0,e1) != e1
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_563]) ).
cnf(c_0_571,plain,
( epred2_0
| op(e1,e1) != e1
| op(e0,e1) != e1
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_563]) ).
cnf(c_0_572,plain,
( op(e1,e1) = e0
| epred2_0
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_566,c_0_567]) ).
cnf(c_0_573,plain,
epred3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_568]),c_0_569]) ).
cnf(c_0_574,plain,
( epred2_0
| op(e0,e1) != e1
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_570,c_0_571]) ).
cnf(c_0_575,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_576,plain,
( op(e1,e1) = e0
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_572,c_0_573])]) ).
fof(c_0_577,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(e1,e1),e1) ),
inference(fof_nnf,[status(thm)],[ax11]) ).
fof(c_0_578,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(op(e1,e1),e1) ),
inference(fof_nnf,[status(thm)],[ax9]) ).
cnf(c_0_579,plain,
op(e0,e0) != op(e1,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_580,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_581,plain,
( op(e1,e0) = e1
| epred2_0
| op(e1,e1) != e1
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_563]) ).
cnf(c_0_582,plain,
( op(e1,e1) = e1
| op(e1,e0) = e1
| epred2_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_563]) ).
cnf(c_0_583,plain,
( op(e1,e1) = e1
| epred2_0
| op(e0,e0) != e0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_563]) ).
cnf(c_0_584,plain,
( epred2_0
| op(e1,e1) != e1
| op(e0,e0) != e0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_563]) ).
cnf(c_0_585,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e0
| epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_574,c_0_575]) ).
cnf(c_0_586,plain,
( epred2_0
| op(e0,e1) != e0 ),
inference(spm,[status(thm)],[c_0_335,c_0_576]) ).
cnf(c_0_587,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(e1,e1),e1) ),
inference(split_conjunct,[status(thm)],[c_0_577]) ).
fof(c_0_588,plain,
( epred1_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) = e0
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 ) ) ),
introduced(definition) ).
cnf(c_0_589,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(op(e1,e1),e1) ),
inference(split_conjunct,[status(thm)],[c_0_578]) ).
cnf(c_0_590,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e0
| op(e0,e0) != e1 ),
inference(spm,[status(thm)],[c_0_579,c_0_580]) ).
cnf(c_0_591,plain,
( op(e1,e0) = e1
| epred2_0
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_581,c_0_582]) ).
cnf(c_0_592,plain,
( epred2_0
| op(e0,e0) != e0
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_583,c_0_584]) ).
cnf(c_0_593,plain,
op(e0,e0) != op(e0,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_594,plain,
( op(e0,e1) = e2
| op(e0,e1) = e3
| epred2_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_585,c_0_573])]),c_0_586]) ).
cnf(c_0_595,plain,
( epred2_0
| op(e0,e0) != e3
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_587,c_0_576]) ).
fof(c_0_596,plain,
( epred1_0
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3 )
| ( op(e0,e0) = e1
& op(e0,e1) = e0
& op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3 ) ) ),
inference(split_equiv,[status(thm)],[c_0_588]) ).
cnf(c_0_597,plain,
( epred2_0
| op(e0,e0) != e2
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_589,c_0_576]) ).
cnf(c_0_598,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e0
| op(e1,e0) = e0
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[c_0_590,c_0_162]) ).
cnf(c_0_599,plain,
( op(e1,e0) = e1
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_591,c_0_573])]) ).
cnf(c_0_600,plain,
( epred2_0
| op(e0,e0) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_592,c_0_573])]) ).
cnf(c_0_601,plain,
( epred2_0
| op(e0,e0) != e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_593,c_0_594]),c_0_595]) ).
fof(c_0_602,plain,
( ( op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e1,e0) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e1,e1) != e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e1,e2) != e2
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e1,e3) != e3
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e1,e0) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e1,e1) != e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e1,e2) != e2
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e1,e3) != e3
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e1
| op(e0,e1) != e1
| ~ epred1_0 )
& ( op(e0,e1) = e0
| op(e0,e1) != e1
| ~ epred1_0 )
& ( op(e1,e0) != e0
| op(e0,e1) != e1
| ~ epred1_0 )
& ( op(e1,e1) != e1
| op(e0,e1) != e1
| ~ epred1_0 )
& ( op(e1,e2) != e2
| op(e0,e1) != e1
| ~ epred1_0 )
& ( op(e1,e3) != e3
| op(e0,e1) != e1
| ~ epred1_0 )
& ( op(e0,e0) = e1
| op(e0,e2) != e2
| ~ epred1_0 )
& ( op(e0,e1) = e0
| op(e0,e2) != e2
| ~ epred1_0 )
& ( op(e1,e0) != e0
| op(e0,e2) != e2
| ~ epred1_0 )
& ( op(e1,e1) != e1
| op(e0,e2) != e2
| ~ epred1_0 )
& ( op(e1,e2) != e2
| op(e0,e2) != e2
| ~ epred1_0 )
& ( op(e1,e3) != e3
| op(e0,e2) != e2
| ~ epred1_0 )
& ( op(e0,e0) = e1
| op(e0,e3) != e3
| ~ epred1_0 )
& ( op(e0,e1) = e0
| op(e0,e3) != e3
| ~ epred1_0 )
& ( op(e1,e0) != e0
| op(e0,e3) != e3
| ~ epred1_0 )
& ( op(e1,e1) != e1
| op(e0,e3) != e3
| ~ epred1_0 )
& ( op(e1,e2) != e2
| op(e0,e3) != e3
| ~ epred1_0 )
& ( op(e1,e3) != e3
| op(e0,e3) != e3
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_596])]) ).
fof(c_0_603,plain,
( epred2_0
=> ( epred1_0
| ( op(e0,e0) = e2
& op(e0,e2) = e0
& op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3 )
| ( op(e0,e0) = e3
& op(e0,e3) = e0
& op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_557]),c_0_588]) ).
cnf(c_0_604,plain,
( op(e0,e1) = e2
| epred2_0
| op(e0,e0) != e2 ),
inference(spm,[status(thm)],[c_0_597,c_0_594]) ).
cnf(c_0_605,plain,
( op(e0,e0) = e2
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_599]),c_0_116]),c_0_107]),c_0_111]),c_0_600]),c_0_601]) ).
cnf(c_0_606,plain,
( op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_607,plain,
( op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_608,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e0) = e2
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_130]),c_0_107]) ).
cnf(c_0_609,plain,
( op(e0,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_610,plain,
( op(e0,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
fof(c_0_611,plain,
( ( op(e0,e0) = e3
| op(e0,e0) = e2
| epred1_0
| ~ epred2_0 )
& ( op(e0,e3) = e0
| op(e0,e0) = e2
| epred1_0
| ~ epred2_0 )
& ( op(e3,e0) != e0
| op(e0,e0) = e2
| epred1_0
| ~ epred2_0 )
& ( op(e3,e1) != e1
| op(e0,e0) = e2
| epred1_0
| ~ epred2_0 )
& ( op(e3,e2) != e2
| op(e0,e0) = e2
| epred1_0
| ~ epred2_0 )
& ( op(e3,e3) != e3
| op(e0,e0) = e2
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) = e3
| op(e0,e2) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e3,e0) != e0
| op(e0,e2) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e3,e1) != e1
| op(e0,e2) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e3,e2) != e2
| op(e0,e2) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e3,e3) != e3
| op(e0,e2) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) = e3
| op(e2,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e3) = e0
| op(e2,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e3,e0) != e0
| op(e2,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e3,e1) != e1
| op(e2,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e3,e2) != e2
| op(e2,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e3,e3) != e3
| op(e2,e0) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) = e3
| op(e2,e1) != e1
| epred1_0
| ~ epred2_0 )
& ( op(e0,e3) = e0
| op(e2,e1) != e1
| epred1_0
| ~ epred2_0 )
& ( op(e3,e0) != e0
| op(e2,e1) != e1
| epred1_0
| ~ epred2_0 )
& ( op(e3,e1) != e1
| op(e2,e1) != e1
| epred1_0
| ~ epred2_0 )
& ( op(e3,e2) != e2
| op(e2,e1) != e1
| epred1_0
| ~ epred2_0 )
& ( op(e3,e3) != e3
| op(e2,e1) != e1
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) = e3
| op(e2,e2) != e2
| epred1_0
| ~ epred2_0 )
& ( op(e0,e3) = e0
| op(e2,e2) != e2
| epred1_0
| ~ epred2_0 )
& ( op(e3,e0) != e0
| op(e2,e2) != e2
| epred1_0
| ~ epred2_0 )
& ( op(e3,e1) != e1
| op(e2,e2) != e2
| epred1_0
| ~ epred2_0 )
& ( op(e3,e2) != e2
| op(e2,e2) != e2
| epred1_0
| ~ epred2_0 )
& ( op(e3,e3) != e3
| op(e2,e2) != e2
| epred1_0
| ~ epred2_0 )
& ( op(e0,e0) = e3
| op(e2,e3) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e0,e3) = e0
| op(e2,e3) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e3,e0) != e0
| op(e2,e3) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e3,e1) != e1
| op(e2,e3) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e3,e2) != e2
| op(e2,e3) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e3,e3) != e3
| op(e2,e3) != e3
| epred1_0
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_603])]) ).
cnf(c_0_612,plain,
( op(e0,e1) = e2
| epred2_0 ),
inference(spm,[status(thm)],[c_0_604,c_0_605]) ).
cnf(c_0_613,plain,
( op(e0,e0) = e1
| ~ epred1_0 ),
inference(csr,[status(thm)],[c_0_606,c_0_607]) ).
cnf(c_0_614,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e0) = e1
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_135]),c_0_116]) ).
cnf(c_0_615,plain,
( op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e0) = e2
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e2) = e2
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_608]),c_0_107]),c_0_116]) ).
cnf(c_0_616,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_617,plain,
( op(e0,e1) = e0
| ~ epred1_0 ),
inference(csr,[status(thm)],[c_0_609,c_0_610]) ).
cnf(c_0_618,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_619,plain,
( op(e0,e0) = e3
| op(e0,e2) = e0
| epred1_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_620,plain,
epred2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_593,c_0_612]),c_0_605]) ).
cnf(c_0_621,plain,
( op(e0,e3) != e1
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_181,c_0_613]) ).
cnf(c_0_622,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_614,c_0_615]),c_0_107]),c_0_46]) ).
cnf(c_0_623,plain,
( op(e0,e2) != e1
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_423,c_0_613]) ).
cnf(c_0_624,plain,
( op(e0,e3) != e0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_616,c_0_617]) ).
cnf(c_0_625,plain,
( op(e0,e2) != e0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_618,c_0_617]) ).
cnf(c_0_626,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| epred1_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_627,plain,
( op(e0,e2) = e0
| op(e0,e0) = e3
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_619,c_0_620])]) ).
cnf(c_0_628,plain,
( op(e0,e2) = e2
| op(e0,e3) = e2
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_621,c_0_622]),c_0_623]),c_0_624]),c_0_625]) ).
cnf(c_0_629,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_626,c_0_620])]) ).
cnf(c_0_630,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e2) = e2
| op(e0,e3) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_608,c_0_627]),c_0_68]),c_0_111]),c_0_628]) ).
cnf(c_0_631,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_630]),c_0_116]),c_0_628]) ).
cnf(c_0_632,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e0
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_618,c_0_575]) ).
cnf(c_0_633,plain,
( op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_631]),c_0_46]) ).
cnf(c_0_634,plain,
( op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e1) = e0
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_632,c_0_633]),c_0_617]) ).
cnf(c_0_635,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e0
| op(e2,e1) != e1 ),
inference(spm,[status(thm)],[c_0_191,c_0_575]) ).
cnf(c_0_636,plain,
( op(e0,e3) = e0
| epred1_0
| op(e2,e1) != e1
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_637,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e2) = e0
| op(e0,e3) != e0 ),
inference(spm,[status(thm)],[c_0_616,c_0_634]) ).
fof(c_0_638,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[ax27]) ).
cnf(c_0_639,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e0) = e1
| op(e0,e1) = e0
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_635,c_0_152]) ).
cnf(c_0_640,plain,
( op(e0,e3) = e0
| epred1_0
| op(e2,e1) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_636,c_0_620])]) ).
cnf(c_0_641,plain,
( op(e0,e0) = e3
| epred1_0
| op(e2,e1) != e1
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_642,plain,
( op(e0,e2) = e0
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e1) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_637,c_0_629]) ).
cnf(c_0_643,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_638]) ).
cnf(c_0_644,plain,
( op(e0,e2) = e0
| epred1_0
| op(e3,e3) != e3
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_645,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e0,e3) != e0 ),
inference(spm,[status(thm)],[c_0_616,c_0_639]) ).
cnf(c_0_646,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e0) = e1
| op(e0,e3) = e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_640,c_0_152]) ).
cnf(c_0_647,plain,
( op(e0,e0) = e3
| epred1_0
| op(e2,e1) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_641,c_0_620])]) ).
fof(c_0_648,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[ax29]) ).
cnf(c_0_649,plain,
( op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e2) = e0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_593,c_0_642]),c_0_627]) ).
cnf(c_0_650,plain,
( op(e0,e2) = e0
| epred1_0
| op(e3,e2) != e2
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_651,plain,
( op(e0,e2) = e0
| epred1_0
| op(e3,e3) != e1
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_643,c_0_627]) ).
cnf(c_0_652,plain,
( op(e0,e2) = e0
| epred1_0
| op(e3,e3) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_644,c_0_620])]) ).
cnf(c_0_653,plain,
( op(e0,e2) = e0
| epred1_0
| op(e3,e3) != e0 ),
inference(spm,[status(thm)],[c_0_165,c_0_629]) ).
cnf(c_0_654,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e0) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_645,c_0_646]) ).
cnf(c_0_655,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e0) = e1
| op(e0,e0) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_647,c_0_152]) ).
cnf(c_0_656,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_648]) ).
cnf(c_0_657,plain,
( op(e3,e0) != e1
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_176,c_0_613]) ).
cnf(c_0_658,plain,
( op(e0,e2) = e0
| op(e0,e2) = e2
| epred1_0
| op(e3,e1) != e2 ),
inference(spm,[status(thm)],[c_0_129,c_0_649]) ).
cnf(c_0_659,plain,
( op(e0,e2) = e0
| epred1_0
| op(e3,e2) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_650,c_0_620])]) ).
cnf(c_0_660,plain,
( op(e3,e3) = e2
| op(e0,e2) = e0
| epred1_0
| op(e3,e0) != e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_651,c_0_374]),c_0_652]),c_0_653]) ).
cnf(c_0_661,plain,
( op(e0,e1) = e2
| op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_593,c_0_654]),c_0_655]) ).
cnf(c_0_662,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e0) = e1
| op(e2,e1) != e1 ),
inference(spm,[status(thm)],[c_0_191,c_0_135]) ).
cnf(c_0_663,plain,
( op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e0,e2) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_646]),c_0_625]) ).
cnf(c_0_664,plain,
( op(e0,e2) = e0
| op(e3,e3) != e2
| op(e3,e0) != e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_656,c_0_627]),c_0_657]) ).
cnf(c_0_665,plain,
( op(e3,e3) = e2
| op(e0,e2) = e2
| op(e0,e2) = e0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_658,c_0_106]),c_0_659]),c_0_660]) ).
cnf(c_0_666,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e0) = e1
| epred1_0
| op(e0,e2) != e2 ),
inference(spm,[status(thm)],[c_0_618,c_0_661]) ).
cnf(c_0_667,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e0) = e1
| op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_662,c_0_152]) ).
cnf(c_0_668,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e0) = e1
| op(e3,e3) != e2
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_663,c_0_664]) ).
cnf(c_0_669,plain,
( op(e3,e3) = e2
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e0) = e1
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_663,c_0_665]),c_0_666]) ).
cnf(c_0_670,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_667,c_0_655]),c_0_111]) ).
fof(c_0_671,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[ax21]) ).
cnf(c_0_672,plain,
( op(e0,e3) = e0
| op(e0,e0) = e2
| epred1_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_673,plain,
( op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e3,e0) != e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_669]),c_0_657]) ).
cnf(c_0_674,plain,
( op(e0,e2) = e1
| op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_646,c_0_670]),c_0_116]) ).
cnf(c_0_675,plain,
op(e2,e0) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_676,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_677,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_678,plain,
( op(e0,e3) = e0
| op(e0,e0) = e2
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_672,c_0_620])]) ).
cnf(c_0_679,plain,
( op(e0,e3) = e0
| epred1_0
| op(e2,e2) != e2
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_680,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_681,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e0) = e1 ),
inference(spm,[status(thm)],[c_0_673,c_0_155]) ).
cnf(c_0_682,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e0) = e1
| epred1_0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_142,c_0_674]) ).
fof(c_0_683,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[ax23]) ).
cnf(c_0_684,plain,
( op(e0,e3) = e0
| epred1_0
| op(e2,e0) != e0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_685,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_675,c_0_676]) ).
cnf(c_0_686,plain,
( op(e0,e3) = e0
| epred1_0
| op(e2,e2) != e1
| op(e2,e0) != e3 ),
inference(spm,[status(thm)],[c_0_677,c_0_678]) ).
cnf(c_0_687,plain,
( op(e0,e3) = e0
| epred1_0
| op(e2,e2) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_679,c_0_620])]) ).
cnf(c_0_688,plain,
( op(e0,e2) = e0
| epred1_0
| op(e3,e0) != e0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_689,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e0
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_205,c_0_680]) ).
cnf(c_0_690,plain,
( op(e2,e0) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| epred1_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_669,c_0_681]),c_0_107]),c_0_682]) ).
cnf(c_0_691,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_657,c_0_680]) ).
cnf(c_0_692,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_683]) ).
cnf(c_0_693,plain,
( op(e2,e0) != e1
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_161,c_0_613]) ).
cnf(c_0_694,plain,
( op(e0,e3) = e0
| epred1_0
| op(e2,e0) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_684,c_0_620])]) ).
cnf(c_0_695,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e0
| op(e2,e0) = e0
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_685,c_0_75]) ).
cnf(c_0_696,plain,
( op(e2,e2) = e3
| op(e2,e2) = e0
| op(e0,e3) = e0
| epred1_0
| op(e2,e0) != e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_686,c_0_75]),c_0_687]) ).
cnf(c_0_697,plain,
( op(e0,e3) = e0
| epred1_0
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_161,c_0_678]) ).
cnf(c_0_698,plain,
( op(e0,e2) = e0
| epred1_0
| op(e3,e0) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_688,c_0_620])]) ).
cnf(c_0_699,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e3,e0) = e0
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_689,c_0_690]),c_0_691]) ).
cnf(c_0_700,plain,
( op(e0,e2) = e0
| epred1_0
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_176,c_0_627]) ).
cnf(c_0_701,plain,
( op(e0,e3) = e0
| op(e2,e2) != e3
| op(e2,e0) != e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_692,c_0_678]),c_0_693]) ).
cnf(c_0_702,plain,
( op(e2,e2) = e0
| op(e2,e2) = e3
| op(e0,e3) = e0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_694,c_0_695]),c_0_696]),c_0_697]),c_0_687]) ).
cnf(c_0_703,plain,
( op(e3,e0) = e2
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e0,e2) = e0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_698,c_0_699]),c_0_700]) ).
cnf(c_0_704,plain,
( op(e0,e2) != e0
| op(e2,e2) != e3
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_156,c_0_701]) ).
cnf(c_0_705,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0
| op(e0,e1) = e0
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_635,c_0_463]) ).
cnf(c_0_706,plain,
( op(e2,e2) = e3
| op(e2,e2) = e0
| op(e0,e2) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_702]),c_0_625]) ).
cnf(c_0_707,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e3,e0) = e2
| epred1_0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_182,c_0_703]) ).
cnf(c_0_708,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e3,e0) = e2
| epred1_0
| op(e2,e2) != e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_704,c_0_703]),c_0_690]) ).
cnf(c_0_709,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e0,e3) != e0 ),
inference(spm,[status(thm)],[c_0_616,c_0_705]) ).
cnf(c_0_710,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0
| op(e0,e3) = e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_640,c_0_463]) ).
cnf(c_0_711,plain,
( op(e0,e3) = e0
| epred1_0
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_176,c_0_678]) ).
cnf(c_0_712,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e3,e0) = e2
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_706,c_0_703]),c_0_707]),c_0_708]) ).
cnf(c_0_713,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0
| op(e0,e1) = e2
| op(e0,e1) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_709,c_0_710]) ).
cnf(c_0_714,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0
| op(e0,e0) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_647,c_0_463]) ).
cnf(c_0_715,plain,
( op(e2,e2) = e1
| op(e2,e3) = e1
| op(e0,e3) = e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_711,c_0_712]) ).
cnf(c_0_716,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_717,plain,
( op(e0,e1) = e2
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_593,c_0_713]),c_0_714]) ).
cnf(c_0_718,plain,
( op(e0,e2) = e0
| epred1_0
| op(e3,e1) != e1
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_719,plain,
op(e2,e0) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_720,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e0,e2) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_715]),c_0_625]) ).
cnf(c_0_721,plain,
( op(e2,e2) = e1
| op(e2,e3) = e1
| epred1_0
| op(e3,e3) != e2 ),
inference(spm,[status(thm)],[c_0_716,c_0_712]) ).
cnf(c_0_722,plain,
( op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e0,e2) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_710]),c_0_625]) ).
cnf(c_0_723,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0
| epred1_0
| op(e0,e2) != e2 ),
inference(spm,[status(thm)],[c_0_618,c_0_717]) ).
cnf(c_0_724,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0
| op(e0,e0) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_662,c_0_463]) ).
cnf(c_0_725,plain,
( op(e0,e2) = e0
| epred1_0
| op(e3,e1) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_718,c_0_620])]) ).
cnf(c_0_726,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e0
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_719,c_0_676]) ).
cnf(c_0_727,plain,
( op(e2,e2) = e1
| op(e2,e3) = e1
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_660,c_0_712]),c_0_720]),c_0_721]) ).
cnf(c_0_728,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_693,c_0_676]) ).
cnf(c_0_729,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0
| op(e3,e3) != e2
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_722,c_0_664]) ).
cnf(c_0_730,plain,
( op(e3,e3) = e2
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_722,c_0_665]),c_0_723]) ).
cnf(c_0_731,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_724,c_0_714]),c_0_111]) ).
cnf(c_0_732,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e0) = e1
| op(e0,e2) = e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_725,c_0_105]) ).
cnf(c_0_733,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_734,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_735,plain,
( op(e2,e0) = e0
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_726,c_0_727]),c_0_728]),c_0_685]) ).
cnf(c_0_736,plain,
( op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e3,e0) != e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_730]),c_0_657]) ).
cnf(c_0_737,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0
| op(e3,e0) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(spm,[status(thm)],[c_0_151,c_0_463]) ).
cnf(c_0_738,plain,
( op(e0,e2) = e1
| op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_710,c_0_731]),c_0_116]) ).
cnf(c_0_739,plain,
( op(e2,e2) != e0
| op(e3,e3) != e2
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_182,c_0_664]) ).
cnf(c_0_740,plain,
( op(e3,e0) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| epred1_0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_182,c_0_732]) ).
cnf(c_0_741,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e0,e3) = e3
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_733,c_0_734]),c_0_68]) ).
cnf(c_0_742,plain,
( op(e0,e2) = e2
| op(e3,e3) = e2
| epred1_0
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_182,c_0_665]) ).
cnf(c_0_743,plain,
( op(e2,e0) = e3
| op(e0,e3) = e0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_694,c_0_735]),c_0_697]) ).
cnf(c_0_744,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e0
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_39,c_0_374]) ).
cnf(c_0_745,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0 ),
inference(spm,[status(thm)],[c_0_736,c_0_737]) ).
cnf(c_0_746,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e0
| epred1_0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_142,c_0_738]) ).
cnf(c_0_747,plain,
( op(e3,e1) != e0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_129,c_0_617]) ).
cnf(c_0_748,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e0,e2) = e3
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_318]),c_0_54]) ).
cnf(c_0_749,plain,
( op(e2,e2) = e3
| op(e3,e3) != e2
| op(e3,e0) != e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_706,c_0_664]),c_0_739]) ).
cnf(c_0_750,plain,
( op(e3,e0) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e2,e2) = e3
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_706,c_0_732]),c_0_740]) ).
cnf(c_0_751,plain,
( op(e0,e2) = e0
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e3
| epred1_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_741,c_0_629]),c_0_54]),c_0_46]),c_0_652]) ).
cnf(c_0_752,plain,
( op(e0,e2) = e2
| op(e3,e3) = e2
| op(e2,e2) = e3
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_706,c_0_665]),c_0_742]) ).
cnf(c_0_753,plain,
( op(e2,e0) = e3
| op(e0,e2) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_743]),c_0_625]) ).
cnf(c_0_754,plain,
( op(e2,e2) = e1
| op(e3,e3) = e0
| op(e3,e3) = e2
| op(e3,e3) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_744,c_0_727]) ).
cnf(c_0_755,plain,
( op(e2,e1) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3
| epred1_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_745]),c_0_107]),c_0_746]) ).
cnf(c_0_756,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e0) = e0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_747,c_0_498]) ).
cnf(c_0_757,plain,
( op(e0,e3) = e0
| epred1_0
| op(e0,e2) != e2 ),
inference(spm,[status(thm)],[c_0_423,c_0_678]) ).
cnf(c_0_758,plain,
( op(e0,e2) = e0
| epred1_0
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_423,c_0_627]) ).
cnf(c_0_759,plain,
( op(e3,e2) = e0
| op(e0,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e0
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_706,c_0_748]) ).
cnf(c_0_760,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e2,e2) = e3
| epred1_0
| op(e3,e3) != e2 ),
inference(spm,[status(thm)],[c_0_749,c_0_750]) ).
cnf(c_0_761,plain,
( op(e2,e2) = e3
| op(e2,e3) = e3
| op(e3,e3) = e2
| op(e2,e3) = e2
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_751,c_0_752]),c_0_46]) ).
cnf(c_0_762,plain,
( op(e2,e0) = e3
| op(e3,e3) != e2
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_753,c_0_664]) ).
cnf(c_0_763,plain,
( op(e3,e0) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e2,e0) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_753,c_0_732]) ).
cnf(c_0_764,plain,
( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e0,e2) = e0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_653,c_0_754]),c_0_652]) ).
cnf(c_0_765,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e3,e0) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_755]),c_0_756]) ).
cnf(c_0_766,plain,
( op(e2,e2) = e3
| op(e3,e3) = e2
| op(e0,e3) = e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_757,c_0_752]) ).
cnf(c_0_767,plain,
( op(e2,e2) = e3
| op(e2,e2) = e0
| op(e3,e2) = e3
| op(e3,e2) = e0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_758,c_0_759]),c_0_54]) ).
cnf(c_0_768,plain,
( op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e3,e2) = e1
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_760,c_0_761]),c_0_107]) ).
cnf(c_0_769,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e2,e0) = e3
| epred1_0
| op(e3,e3) != e2 ),
inference(spm,[status(thm)],[c_0_762,c_0_763]) ).
cnf(c_0_770,plain,
( op(e2,e2) = e1
| op(e3,e3) = e2
| op(e2,e0) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_753,c_0_764]) ).
cnf(c_0_771,plain,
( op(e3,e2) = e0
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e0,e2) = e0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_698,c_0_765]),c_0_653]) ).
cnf(c_0_772,plain,
( op(e3,e3) = e2
| op(e2,e2) = e3
| op(e0,e2) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_766]),c_0_625]) ).
cnf(c_0_773,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e2) = e0
| op(e2,e2) = e3
| epred1_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_767,c_0_768]),c_0_111]),c_0_116]) ).
cnf(c_0_774,plain,
( op(e0,e0) = e3
| epred1_0
| op(e2,e0) != e0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_775,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_315,c_0_680]) ).
cnf(c_0_776,plain,
( op(e2,e2) = e1
| op(e2,e0) = e3
| op(e3,e2) = e1
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_769,c_0_770]),c_0_107]) ).
cnf(c_0_777,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e3,e2) = e0
| op(e2,e0) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_753,c_0_771]) ).
cnf(c_0_778,plain,
( op(e2,e2) = e1
| op(e2,e2) = e3
| op(e3,e3) = e2
| epred1_0 ),
inference(spm,[status(thm)],[c_0_772,c_0_764]) ).
cnf(c_0_779,plain,
( op(e2,e2) = e1
| op(e2,e2) = e3
| op(e2,e2) = e0
| epred1_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_773,c_0_727]),c_0_111]),c_0_107]) ).
cnf(c_0_780,plain,
( op(e0,e0) = e3
| epred1_0
| op(e2,e0) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_774,c_0_620])]) ).
cnf(c_0_781,plain,
( op(e2,e0) = e3
| op(e2,e2) = e1
| op(e3,e0) = e0
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_775,c_0_776]),c_0_691]) ).
cnf(c_0_782,plain,
( op(e2,e2) = e1
| op(e2,e0) = e3
| op(e2,e1) = e2
| op(e2,e1) = e3
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_777,c_0_776]),c_0_116]) ).
cnf(c_0_783,plain,
( op(e2,e2) = e3
| op(e2,e2) = e1
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_778]),c_0_727]),c_0_779]) ).
cnf(c_0_784,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e0,e0) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_780,c_0_735]) ).
cnf(c_0_785,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e2,e2) = e1
| op(e2,e0) = e3
| op(e2,e0) != e0 ),
inference(spm,[status(thm)],[c_0_205,c_0_781]) ).
cnf(c_0_786,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_787,plain,
( op(e2,e1) = e2
| op(e2,e0) = e3
| op(e2,e2) = e1
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_782]),c_0_783]) ).
cnf(c_0_788,plain,
( op(e2,e0) = e2
| op(e2,e0) = e3
| epred1_0
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_176,c_0_784]) ).
cnf(c_0_789,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e2) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_785,c_0_735]),c_0_54]) ).
cnf(c_0_790,plain,
( op(e2,e2) = e1
| op(e2,e0) = e3
| epred1_0
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_786,c_0_787]) ).
cnf(c_0_791,plain,
( op(e3,e0) = e2
| op(e2,e2) = e1
| op(e2,e0) = e3
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_788,c_0_789]),c_0_790]) ).
cnf(c_0_792,plain,
( op(e2,e0) = e3
| op(e2,e2) = e1
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_716,c_0_791]),c_0_770]) ).
cnf(c_0_793,plain,
( op(e2,e2) = e1
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_675,c_0_792]),c_0_783]) ).
cnf(c_0_794,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_795,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_796,plain,
( op(e0,e3) = e0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_686,c_0_793]),c_0_743]) ).
cnf(c_0_797,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e0,e3) = e3
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_734]),c_0_111]) ).
cnf(c_0_798,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e0,e0) = e2
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_795]),c_0_107]) ).
cnf(c_0_799,plain,
op(e0,e2) != e0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_796]),c_0_625]) ).
cnf(c_0_800,plain,
( op(e0,e2) = e0
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e3
| epred1_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_797,c_0_629]),c_0_54]),c_0_116]),c_0_652]) ).
cnf(c_0_801,plain,
( op(e0,e2) = e0
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e2
| op(e3,e0) = e2
| epred1_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_798,c_0_627]),c_0_68]),c_0_111]) ).
cnf(c_0_802,plain,
( op(e0,e0) = e3
| epred1_0 ),
inference(sr,[status(thm)],[c_0_627,c_0_799]) ).
cnf(c_0_803,plain,
( op(e2,e3) = e3
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e2,e0) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_753,c_0_800]) ).
cnf(c_0_804,plain,
( op(e2,e3) = e3
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e2,e0) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_753,c_0_751]) ).
cnf(c_0_805,plain,
( op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e2) = e3
| epred1_0
| op(e2,e2) != e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_761]),c_0_359]) ).
cnf(c_0_806,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e1
| op(e2,e0) = e1
| epred1_0 ),
inference(sr,[status(thm)],[c_0_801,c_0_799]) ).
cnf(c_0_807,plain,
( epred1_0
| op(e3,e3) != e1
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_643,c_0_802]) ).
cnf(c_0_808,plain,
( op(e2,e3) = e2
| op(e2,e0) = e3
| op(e2,e3) = e1
| op(e2,e3) = e3
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_803,c_0_804]),c_0_107]) ).
cnf(c_0_809,plain,
( op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e3) = e2
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_805,c_0_783]),c_0_111]) ).
cnf(c_0_810,plain,
( op(e2,e0) = e1
| op(e2,e0) = e2
| epred1_0
| op(e3,e3) != e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_716,c_0_806]),c_0_807]) ).
cnf(c_0_811,plain,
( op(e2,e3) = e3
| op(e3,e3) = e1
| op(e2,e3) = e1
| epred1_0 ),
inference(sr,[status(thm)],[c_0_800,c_0_799]) ).
cnf(c_0_812,plain,
( op(e2,e3) = e3
| op(e2,e3) = e1
| op(e2,e3) = e2
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_675,c_0_808]),c_0_809]) ).
cnf(c_0_813,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e0
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_716,c_0_680]) ).
cnf(c_0_814,plain,
( op(e2,e3) = e1
| op(e2,e3) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| epred1_0 ),
inference(spm,[status(thm)],[c_0_810,c_0_811]) ).
cnf(c_0_815,plain,
( op(e2,e3) = e2
| op(e2,e3) = e3
| epred1_0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_72,c_0_812]) ).
cnf(c_0_816,plain,
( epred1_0
| op(e3,e0) != e0
| op(e2,e3) != e3
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_817,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e0
| op(e3,e0) = e0
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(spm,[status(thm)],[c_0_813,c_0_374]) ).
cnf(c_0_818,plain,
( epred1_0
| op(e3,e3) != e3
| op(e2,e3) != e3
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_819,plain,
( op(e2,e0) = e2
| op(e2,e3) = e3
| op(e2,e3) = e1
| epred1_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_735,c_0_814]),c_0_116]),c_0_107]),c_0_111]) ).
cnf(c_0_820,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| epred1_0 ),
inference(spm,[status(thm)],[c_0_815,c_0_793]) ).
cnf(c_0_821,plain,
( op(e0,e2) = e0
| op(e0,e2) = e2
| epred1_0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_142,c_0_633]) ).
cnf(c_0_822,plain,
( op(e0,e2) = e0
| epred1_0
| op(e2,e0) != e3 ),
inference(spm,[status(thm)],[c_0_161,c_0_627]) ).
cnf(c_0_823,plain,
( op(e0,e2) = e0
| op(e0,e2) = e2
| epred1_0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_182,c_0_633]) ).
cnf(c_0_824,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e3) = e0
| op(e3,e3) = e2
| epred1_0
| op(e2,e3) != e3
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_816,c_0_817]),c_0_818]) ).
cnf(c_0_825,plain,
( op(e2,e3) = e1
| op(e2,e3) = e3
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_719,c_0_819]),c_0_820]) ).
cnf(c_0_826,plain,
( op(e0,e2) = e2
| op(e0,e2) = e0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_821,c_0_776]),c_0_822]),c_0_823]) ).
cnf(c_0_827,plain,
( op(e3,e3) = e2
| op(e3,e3) = e0
| op(e3,e0) = e2
| op(e3,e0) = e3
| epred1_0
| op(e2,e3) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_824,c_0_620])]) ).
cnf(c_0_828,plain,
( op(e2,e3) = e3
| epred1_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_820,c_0_825]),c_0_111]),c_0_107]) ).
cnf(c_0_829,plain,
( epred1_0
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_176,c_0_802]) ).
cnf(c_0_830,plain,
( epred1_0
| op(e3,e3) != e0 ),
inference(spm,[status(thm)],[c_0_165,c_0_796]) ).
cnf(c_0_831,plain,
( op(e0,e2) = e2
| epred1_0 ),
inference(sr,[status(thm)],[c_0_826,c_0_799]) ).
cnf(c_0_832,plain,
( op(e3,e3) != e2
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_799,c_0_664]) ).
cnf(c_0_833,plain,
( op(e3,e0) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| epred1_0 ),
inference(sr,[status(thm)],[c_0_732,c_0_799]) ).
cnf(c_0_834,plain,
( op(e3,e0) = e2
| op(e3,e3) = e2
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_827,c_0_828]),c_0_829]),c_0_830]) ).
cnf(c_0_835,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e0
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_55,c_0_383]) ).
cnf(c_0_836,plain,
( epred1_0
| op(e3,e2) != e2 ),
inference(spm,[status(thm)],[c_0_142,c_0_831]) ).
cnf(c_0_837,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| epred1_0
| op(e3,e3) != e2 ),
inference(spm,[status(thm)],[c_0_832,c_0_833]) ).
cnf(c_0_838,plain,
( op(e3,e3) = e2
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_660,c_0_834]),c_0_799]) ).
cnf(c_0_839,plain,
( op(e3,e2) = e0
| op(e3,e2) = e3
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_835,c_0_793]),c_0_836]) ).
cnf(c_0_840,plain,
( op(e3,e2) = e1
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_837,c_0_838]),c_0_107]) ).
fof(c_0_841,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[ax17]) ).
cnf(c_0_842,plain,
( op(e0,e0) = e0
| op(e1,e0) != e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_843,plain,
( op(e1,e0) != e0
| op(e0,e0) != e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_844,plain,
( op(e0,e0) = e0
| op(e1,e1) != e1
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_845,plain,
( op(e1,e1) != e1
| op(e0,e0) != e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_846,plain,
epred1_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_839,c_0_840]),c_0_116]),c_0_111]) ).
fof(c_0_847,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[ax15]) ).
cnf(c_0_848,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_841]) ).
cnf(c_0_849,plain,
( op(e1,e0) != e0
| ~ epred1_0 ),
inference(csr,[status(thm)],[c_0_842,c_0_843]) ).
cnf(c_0_850,plain,
( op(e0,e0) = e0
| op(e1,e3) != e3
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_851,plain,
( op(e1,e3) != e3
| op(e0,e0) != e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_852,plain,
( op(e1,e1) != e1
| ~ epred1_0 ),
inference(csr,[status(thm)],[c_0_844,c_0_845]) ).
cnf(c_0_853,plain,
op(e0,e1) = e0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_617,c_0_846])]) ).
cnf(c_0_854,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_847]) ).
cnf(c_0_855,plain,
( op(e1,e1) != e3
| op(e1,e0) != e2
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_848,c_0_613]) ).
cnf(c_0_856,plain,
( op(e1,e0) = e2
| op(e1,e0) = e3
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_590,c_0_613]),c_0_849]) ).
cnf(c_0_857,plain,
( op(e1,e3) != e3
| ~ epred1_0 ),
inference(csr,[status(thm)],[c_0_850,c_0_851]) ).
cnf(c_0_858,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_852,c_0_82]) ).
cnf(c_0_859,plain,
op(e1,e1) != e0,
inference(rw,[status(thm)],[c_0_335,c_0_853]) ).
cnf(c_0_860,plain,
( op(e1,e1) != e2
| op(e1,e0) != e3
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_854,c_0_613]) ).
cnf(c_0_861,plain,
( op(e1,e2) = e3
| op(e1,e0) = e3
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_855,c_0_211]),c_0_856]),c_0_857]) ).
cnf(c_0_862,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_863,plain,
( op(e1,e1) = e2
| op(e1,e1) = e3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_858,c_0_846])]),c_0_859]) ).
cnf(c_0_864,plain,
( op(e1,e1) != e2
| op(e1,e0) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_860,c_0_846])]) ).
cnf(c_0_865,plain,
( op(e1,e0) = e3
| op(e1,e2) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_861,c_0_846])]) ).
cnf(c_0_866,plain,
op(e1,e0) != e3,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_862,c_0_863]),c_0_864]) ).
cnf(c_0_867,plain,
op(e0,e0) = e1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_613,c_0_846])]) ).
cnf(c_0_868,plain,
( op(e1,e2) = e0
| op(e1,e3) = e0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_617]),c_0_849]) ).
cnf(c_0_869,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e0) = e1
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_852,c_0_216]) ).
cnf(c_0_870,plain,
op(e1,e2) = e3,
inference(sr,[status(thm)],[c_0_865,c_0_866]) ).
cnf(c_0_871,plain,
op(e1,e0) != e1,
inference(rw,[status(thm)],[c_0_579,c_0_867]) ).
cnf(c_0_872,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_868,c_0_846])]) ).
cnf(c_0_873,plain,
op(e1,e3) = e1,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_869,c_0_846])]),c_0_870]),c_0_111]),c_0_871]) ).
cnf(c_0_874,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_872,c_0_870]),c_0_54]),c_0_873]),c_0_116]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG133+1 : TPTP v9.2.1. Released v2.7.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n014.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 10:23:36 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 16.29/9.96 % Version : CSE_E---1.7
% 16.29/9.96 % Problem : theBenchmark.p
% 16.29/9.96 % SZS status Unsatisfiable for theBenchmark.p
% 16.29/9.96 % SZS output start CNFRefutation
% See solution above
% 16.42/10.03 % Total time : 7.385s
%------------------------------------------------------------------------------