TSTP Solution File: ALG060+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG060+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 : Wed Aug 30 16:00:58 EDT 2023
% Result : Theorem 1.88s 2.08s
% Output : CNFRefutation 2.06s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
e0: $i ).
tff(decl_23,type,
op: ( $i * $i ) > $i ).
tff(decl_24,type,
e1: $i ).
tff(decl_25,type,
e2: $i ).
tff(decl_26,type,
e3: $i ).
tff(decl_27,type,
e4: $i ).
tff(decl_28,type,
unit: $i ).
tff(decl_29,type,
epred1_0: $o ).
tff(decl_30,type,
epred2_0: $o ).
tff(decl_31,type,
epred3_0: $o ).
tff(decl_32,type,
epred4_0: $o ).
tff(decl_33,type,
epred5_0: $o ).
tff(decl_34,type,
epred6_0: $o ).
tff(decl_35,type,
epred7_0: $o ).
tff(decl_36,type,
epred8_0: $o ).
tff(decl_37,type,
epred9_0: $o ).
tff(decl_38,type,
epred10_0: $o ).
tff(decl_39,type,
epred11_0: $o ).
tff(decl_40,type,
epred12_0: $o ).
tff(decl_41,type,
epred13_0: $o ).
tff(decl_42,type,
epred14_0: $o ).
fof(co1,conjecture,
~ ( ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(ax6,axiom,
( e0 = op(op(e4,e4),e4)
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),e4)
& e3 = op(e4,op(e4,e4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(ax5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(ax4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(ax3,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(ax2,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(ax1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(c_0_7,plain,
( epred6_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 ) ) ),
introduced(definition) ).
fof(c_0_8,plain,
( epred14_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 ) ) ),
introduced(definition) ).
fof(c_0_9,plain,
( epred5_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 ) ) ),
introduced(definition) ).
fof(c_0_10,negated_conjecture,
~ ~ ( ( epred6_0
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) != e4 ) )
& ( epred14_0
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]),c_0_7]),c_0_8]) ).
cnf(c_0_11,plain,
e3 = op(e4,op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_12,plain,
e1 = op(e4,e4),
inference(split_conjunct,[status(thm)],[ax6]) ).
fof(c_0_13,plain,
( epred6_0
=> ( epred5_0
| ( op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_7]),c_0_9]) ).
fof(c_0_14,negated_conjecture,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| epred6_0 )
& ( op(e4,e4) != e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| epred6_0 )
& ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e4,e4) = e2
| epred6_0 )
& ( op(e4,e4) != e4
| op(e3,e3) = e4
| op(e4,e4) = e2
| epred6_0 )
& ( op(e4,e4) = e4
| op(e4,e3) != e4
| op(e4,e4) = e2
| epred6_0 )
& ( op(e4,e4) != e4
| op(e4,e3) != e4
| op(e4,e4) = e2
| epred6_0 )
& ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e2,e2) = e4
| epred6_0 )
& ( op(e4,e4) != e4
| op(e4,e4) = e3
| op(e2,e2) = e4
| epred6_0 )
& ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e2,e2) = e4
| epred6_0 )
& ( op(e4,e4) != e4
| op(e3,e3) = e4
| op(e2,e2) = e4
| epred6_0 )
& ( op(e4,e4) = e4
| op(e4,e3) != e4
| op(e2,e2) = e4
| epred6_0 )
& ( op(e4,e4) != e4
| op(e4,e3) != e4
| op(e2,e2) = e4
| epred6_0 )
& ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e2) != e4
| epred6_0 )
& ( op(e4,e4) != e4
| op(e4,e4) = e3
| op(e4,e2) != e4
| epred6_0 )
& ( op(e4,e4) = e4
| op(e3,e3) = e4
| op(e4,e2) != e4
| epred6_0 )
& ( op(e4,e4) != e4
| op(e3,e3) = e4
| op(e4,e2) != e4
| epred6_0 )
& ( op(e4,e4) = e4
| op(e4,e3) != e4
| op(e4,e2) != e4
| epred6_0 )
& ( op(e4,e4) != e4
| op(e4,e3) != e4
| op(e4,e2) != e4
| epred6_0 )
& ( op(e4,e4) != op(e4,e4)
| epred14_0 )
& ( op(op(e4,e4),e4) = e4
| epred14_0 )
& ( op(op(e4,e4),e4) != e4
| epred14_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
cnf(c_0_15,plain,
e2 = op(op(e4,op(e4,e4)),e4),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_16,plain,
op(e4,e1) = e3,
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_17,plain,
( ( op(e4,e4) = e1
| op(e4,e4) = e0
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e4) = e0
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e4) = e0
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e0,e0) = e4
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e0,e0) = e4
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e0,e0) = e4
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e0) != e4
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e0) != e4
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e0) != e4
| op(e3,e3) = e4
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e4) = e0
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e4) = e0
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e4) = e0
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e0,e0) = e4
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e0,e0) = e4
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e0,e0) = e4
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e0) != e4
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e0) != e4
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e0) != e4
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e4) = e0
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e4) = e0
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e4) = e0
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e0,e0) = e4
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e0,e0) = e4
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e0,e0) = e4
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e0) != e4
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e0) != e4
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e0) != e4
| op(e3,e4) != e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e4) = e0
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e4) = e0
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e4) = e0
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e0,e0) = e4
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e0,e0) = e4
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e0,e0) = e4
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e0) != e4
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e0) != e4
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e0) != e4
| op(e3,e3) = e4
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e4) = e0
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e4) = e0
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e4) = e0
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e0,e0) = e4
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e0,e0) = e4
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e0,e0) = e4
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e0) != e4
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e0) != e4
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e0) != e4
| op(e4,e4) = e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e4) = e0
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e4) = e0
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e4) = e0
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e0,e0) = e4
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e0,e0) = e4
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e0,e0) = e4
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e4) = e1
| op(e4,e0) != e4
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e1,e1) = e4
| op(e4,e0) != e4
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 )
& ( op(e4,e1) != e4
| op(e4,e0) != e4
| op(e3,e4) != e3
| op(e3,e3) != e3
| epred5_0
| ~ epred6_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_18,negated_conjecture,
( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_20,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_21,plain,
e1 != e4,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_22,plain,
op(e3,e1) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_23,plain,
op(e3,e4) = e2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_12]),c_0_16]) ).
cnf(c_0_24,plain,
( op(e1,e1) = e4
| op(e4,e4) = e0
| op(e4,e4) = e3
| epred5_0
| op(e3,e3) != e3
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,negated_conjecture,
epred6_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_12]),c_0_12]),c_0_12]),c_0_19]),c_0_20]),c_0_21]) ).
cnf(c_0_26,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_27,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_28,plain,
op(e3,e1) != e2,
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_30,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_31,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_32,plain,
op(e2,unit) = e2,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_33,plain,
( op(e1,e1) = e4
| op(e4,e4) = e0
| op(e4,e4) = e3
| op(e3,e3) = e3
| epred5_0
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_34,plain,
( op(e1,e1) = e4
| epred5_0
| op(e3,e3) != e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_12]),c_0_12]),c_0_25])]),c_0_26]),c_0_20]) ).
cnf(c_0_35,plain,
( op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_16]),c_0_28]),c_0_29]) ).
cnf(c_0_36,plain,
op(unit,e1) = e1,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_37,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| op(e2,e1) != e2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
fof(c_0_38,plain,
( epred13_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 ) ) ),
introduced(definition) ).
cnf(c_0_39,plain,
op(e3,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_40,plain,
( op(e1,e1) = e4
| epred5_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_12]),c_0_12]),c_0_25])]),c_0_26]),c_0_20]),c_0_34]) ).
cnf(c_0_41,plain,
( op(e1,e1) = e2
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_31]),c_0_36]),c_0_19]),c_0_37]) ).
cnf(c_0_42,plain,
e2 != e4,
inference(split_conjunct,[status(thm)],[ax5]) ).
fof(c_0_43,plain,
( epred14_0
=> ( epred13_0
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_8]),c_0_38]) ).
cnf(c_0_44,plain,
op(e3,e1) != e3,
inference(rw,[status(thm)],[c_0_39,c_0_16]) ).
cnf(c_0_45,plain,
( e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_46,plain,
op(e3,unit) = e3,
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_47,plain,
( ( op(e3,e4) != op(e4,e3)
| op(e2,e4) != op(e4,e2)
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(e2,e4) != op(e4,e2)
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(e2,e4) != op(e4,e2)
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e2) = e4
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e2) = e4
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e2) = e4
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e4) != e2
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e4) != e2
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e4) != e2
| op(e1,e4) != op(e4,e1)
| epred13_0
| ~ epred14_0 )
& ( op(e3,e4) != op(e4,e3)
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e1) = e4
| epred13_0
| ~ epred14_0 )
& ( op(e3,e4) != op(e4,e3)
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(e2,e4) != op(e4,e2)
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e2) = e4
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 )
& ( op(e3,e4) != op(e4,e3)
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e3) = e4
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 )
& ( op(op(e4,e3),e4) != e3
| op(op(e4,e2),e4) != e2
| op(op(e4,e1),e4) != e1
| epred13_0
| ~ epred14_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])]) ).
cnf(c_0_48,negated_conjecture,
( epred14_0
| $false ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_49,plain,
op(e2,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_50,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_51,plain,
op(unit,e0) = e0,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_52,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_53,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_54,plain,
( op(op(e4,e1),e1) = e4
| epred13_0
| op(op(e4,e3),e4) != e3
| op(e2,e4) != op(e4,e2)
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_55,negated_conjecture,
epred14_0,
inference(cn,[status(thm)],[c_0_48]) ).
cnf(c_0_56,plain,
op(e1,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_57,plain,
( e3 = unit
| e4 = unit
| epred5_0
| op(e4,e0) != e0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_58,plain,
( op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e0) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_16]),c_0_12]),c_0_53]),c_0_26]) ).
cnf(c_0_59,plain,
( op(e3,e1) = e4
| epred13_0
| op(e2,e4) != op(e4,e2)
| op(op(e4,e3),e4) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_16]),c_0_55])]) ).
cnf(c_0_60,plain,
op(unit,e4) = e4,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_61,plain,
op(e4,unit) = e4,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_62,plain,
( epred5_0
| op(e3,e1) != e4 ),
inference(spm,[status(thm)],[c_0_56,c_0_40]) ).
cnf(c_0_63,plain,
( op(e4,e3) = e0
| op(e4,e2) = e0
| e4 = unit
| e3 = unit
| epred5_0 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_64,plain,
e0 != e4,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_65,plain,
e0 = op(op(e4,e4),e4),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_66,plain,
( e3 = unit
| e4 = unit
| epred13_0
| epred5_0
| op(op(e4,e3),e4) != e3 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_50]),c_0_60]),c_0_61])]),c_0_62]) ).
cnf(c_0_67,plain,
( op(e4,e3) = e0
| e3 = unit
| e4 = unit
| epred5_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_50]),c_0_61]),c_0_64]) ).
cnf(c_0_68,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_69,plain,
op(e1,e4) = e0,
inference(rw,[status(thm)],[c_0_65,c_0_12]) ).
fof(c_0_70,plain,
( epred4_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 ) ) ),
introduced(definition) ).
cnf(c_0_71,plain,
( e4 = unit
| e3 = unit
| epred13_0
| epred5_0
| op(e0,e4) != e3 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,plain,
( op(e2,e4) = e3
| op(e0,e4) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69]),c_0_23]),c_0_12]),c_0_53]),c_0_29]),c_0_20]) ).
fof(c_0_73,plain,
( epred5_0
=> ( epred4_0
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_9]),c_0_70]) ).
cnf(c_0_74,plain,
op(e3,e2) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_75,plain,
( op(e2,e4) = e3
| e3 = unit
| e4 = unit
| epred13_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_76,plain,
e3 != e4,
inference(split_conjunct,[status(thm)],[ax5]) ).
fof(c_0_77,plain,
( ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e3,e3) = e1
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e3,e3) = e1
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e3
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e1,e1) = e3
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e3,e3) = e2
| op(e3,e1) != e3
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e3,e1) != e3
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e3,e1) != e3
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e3,e3) = e1
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e3,e3) = e1
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e3) = e2
| op(e3,e1) != e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e3,e1) != e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e3,e1) != e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e3,e3) = e1
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e3,e3) = e1
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e3
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e1,e1) = e3
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e1,e1) = e3
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e3) = e2
| op(e3,e1) != e3
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e2,e2) = e3
| op(e3,e1) != e3
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 )
& ( op(e3,e2) != e3
| op(e3,e1) != e3
| op(e3,e0) != e3
| epred4_0
| ~ epred5_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])]) ).
cnf(c_0_78,plain,
op(e1,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_79,plain,
op(e3,e3) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_80,plain,
op(e4,e1) != op(e4,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_81,plain,
op(e3,e2) != e2,
inference(rw,[status(thm)],[c_0_74,c_0_23]) ).
cnf(c_0_82,plain,
( e4 = unit
| e3 = unit
| epred13_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_50]),c_0_60]),c_0_76]) ).
cnf(c_0_83,plain,
op(unit,e2) = e2,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_84,plain,
( op(e3,e3) = e2
| op(e1,e1) = e3
| op(e0,e0) = e3
| epred4_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_85,plain,
op(e1,e1) != e3,
inference(rw,[status(thm)],[c_0_78,c_0_16]) ).
cnf(c_0_86,plain,
op(e3,e3) != e2,
inference(rw,[status(thm)],[c_0_79,c_0_23]) ).
cnf(c_0_87,plain,
op(e4,e3) != e3,
inference(rw,[status(thm)],[c_0_80,c_0_16]) ).
cnf(c_0_88,plain,
( e4 = unit
| epred13_0
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]) ).
cnf(c_0_89,plain,
op(unit,e3) = e3,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_90,plain,
( op(e3,e3) = e2
| op(e1,e1) = e3
| epred4_0
| op(e3,e0) != e3
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_91,plain,
( op(e0,e0) = e3
| epred4_0
| ~ epred5_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_92,plain,
( epred13_0
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]) ).
cnf(c_0_93,plain,
( epred4_0
| op(e3,e0) != e3
| ~ epred5_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_90,c_0_85]),c_0_86]) ).
fof(c_0_94,plain,
( epred3_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 ) ) ),
introduced(definition) ).
cnf(c_0_95,plain,
op(e0,e0) != op(e0,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_96,plain,
( op(e0,e0) = e3
| epred13_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_97,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred4_0
| ~ epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_31]),c_0_46])]) ).
fof(c_0_98,plain,
( epred4_0
=> ( epred3_0
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_70]),c_0_94]) ).
cnf(c_0_99,plain,
( epred13_0
| epred4_0
| op(e0,e4) != e3 ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_100,plain,
( e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred13_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_92]) ).
cnf(c_0_101,plain,
( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_102,plain,
op(e0,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_103,plain,
( ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e3) != e2
| op(e2,e2) = e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e2) = e3
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e3,e3) = e2
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e2) = e4
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e4,e4) = e2
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e2,e4) != e2
| op(e2,e3) != e2
| op(e2,e2) != e2
| op(e2,e1) != e2
| epred3_0
| ~ epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_98])]) ).
cnf(c_0_104,plain,
( op(e2,e4) = e3
| epred13_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_99,c_0_72]) ).
cnf(c_0_105,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| epred13_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_100]),c_0_46])]) ).
cnf(c_0_106,plain,
( op(op(e4,e2),e2) = e4
| op(op(e4,e1),e1) = e4
| epred13_0
| op(e3,e4) != op(e4,e3)
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_107,plain,
( op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_16]),c_0_12]),c_0_29]),c_0_19]) ).
cnf(c_0_108,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| op(e4,e2) != e2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_31]),c_0_83]) ).
cnf(c_0_109,plain,
( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e1
| epred3_0
| op(e2,e2) != e2
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_110,plain,
( e3 = unit
| e4 = unit
| epred13_0
| epred4_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_60]),c_0_76]) ).
cnf(c_0_111,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_112,plain,
op(e0,e3) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_113,plain,
op(e4,e0) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_114,plain,
( op(op(e4,e2),e2) = e4
| op(e3,e1) = e4
| epred13_0
| op(e4,e3) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_16]),c_0_23]),c_0_55])]) ).
cnf(c_0_115,plain,
( op(e4,e3) = e2
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_31]),c_0_61]),c_0_42]),c_0_108]) ).
cnf(c_0_116,plain,
( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e2,e2) = e1
| epred3_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_117,plain,
( op(e2,e2) = e1
| epred3_0
| op(e2,e2) != e2
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_12]),c_0_86]),c_0_19]) ).
cnf(c_0_118,plain,
( e4 = unit
| epred13_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_110]),c_0_83])]) ).
cnf(c_0_119,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_69]),c_0_85]),c_0_53]) ).
cnf(c_0_120,plain,
op(e1,unit) = e1,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_121,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| op(e1,e3) != e3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_31]),c_0_89]) ).
cnf(c_0_122,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_123,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| op(e4,e2) != e4 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_31]),c_0_61]) ).
cnf(c_0_124,plain,
( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e1,e1) = e2
| epred3_0
| op(e2,e2) != e2
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_125,plain,
( op(op(e4,e2),e2) = e4
| op(e3,e1) = e4
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred13_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_126,plain,
( op(e4,e3) = unit
| op(e4,e2) = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e4 = unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_31]),c_0_61])]) ).
cnf(c_0_127,plain,
( op(e2,e2) = e1
| epred3_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_12]),c_0_86]),c_0_19]),c_0_117]) ).
cnf(c_0_128,plain,
( epred13_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_118]),c_0_89])]) ).
cnf(c_0_129,plain,
( op(e1,e2) = e3
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_31]),c_0_120]),c_0_20]),c_0_121]) ).
cnf(c_0_130,plain,
( op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_31]),c_0_83]),c_0_42]),c_0_123]) ).
cnf(c_0_131,plain,
op(e1,e2) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_132,plain,
( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| epred3_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_133,plain,
( op(e1,e1) = e2
| epred3_0
| op(e2,e2) != e2
| ~ epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_12]),c_0_86]),c_0_19]) ).
cnf(c_0_134,plain,
op(e3,e1) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_135,plain,
( op(e4,e3) = unit
| op(e3,e1) = e4
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred13_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_83]),c_0_42]) ).
cnf(c_0_136,plain,
( op(e2,e2) = e1
| epred13_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_137,plain,
( op(e2,e2) = e4
| op(e3,e2) = e4
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_76]) ).
cnf(c_0_138,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_139,plain,
op(e1,e2) != e0,
inference(rw,[status(thm)],[c_0_131,c_0_69]) ).
cnf(c_0_140,plain,
( op(e1,e1) = e2
| epred3_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_12]),c_0_86]),c_0_19]),c_0_133]) ).
cnf(c_0_141,plain,
( op(e4,e3) = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred13_0
| op(e3,e2) != e4 ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_142,plain,
( op(e3,e2) = e4
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred13_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_21]) ).
cnf(c_0_143,plain,
op(e1,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_144,plain,
( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1 ),
inference(sr,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_145,plain,
op(e1,e1) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_146,plain,
( op(e1,e1) = e2
| epred13_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_140,c_0_128]) ).
cnf(c_0_147,plain,
( op(e4,e3) = unit
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred13_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
fof(c_0_148,plain,
( epred2_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 ) ) ),
introduced(definition) ).
cnf(c_0_149,plain,
( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_150,plain,
( epred13_0
| epred3_0
| op(e1,e2) != e2 ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_151,plain,
( e1 = unit
| e3 = unit
| e4 = unit
| e2 = unit
| epred13_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_115,c_0_147]) ).
fof(c_0_152,plain,
( epred3_0
=> ( epred2_0
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_94]),c_0_148]) ).
cnf(c_0_153,plain,
( op(e1,e2) = e3
| op(e1,e2) = e4
| epred13_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_136]),c_0_150]) ).
cnf(c_0_154,plain,
( e2 = unit
| e4 = unit
| e3 = unit
| epred13_0
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_151]),c_0_46])]) ).
fof(c_0_155,plain,
( ( op(e2,e2) = e0
| op(e1,e1) = e4
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e4
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e1,e1) = e4
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e2,e2) = e0
| op(e4,e4) = e1
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e4,e4) = e1
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e4,e4) = e1
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e2,e2) = e0
| op(e1,e4) != e1
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e1,e4) != e1
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e1,e4) != e1
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 )
& ( op(e2,e2) = e0
| op(e1,e1) = e4
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e4
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e1,e1) = e4
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e2) = e0
| op(e4,e4) = e1
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e4,e4) = e1
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e4,e4) = e1
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e2) = e0
| op(e1,e4) != e1
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e1,e4) != e1
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e1,e4) != e1
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e2) = e0
| op(e1,e1) = e4
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e4
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e1,e1) = e4
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e2) = e0
| op(e4,e4) = e1
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e4,e4) = e1
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e4,e4) = e1
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e2) = e0
| op(e1,e4) != e1
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e0,e0) = e2
| op(e1,e4) != e1
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 )
& ( op(e2,e0) != e2
| op(e1,e4) != e1
| op(e1,e3) != e1
| epred2_0
| ~ epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_152])]) ).
cnf(c_0_156,plain,
( e3 = unit
| e4 = unit
| epred13_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_120]),c_0_120]),c_0_20]),c_0_21]) ).
cnf(c_0_157,plain,
( op(e1,e1) = e4
| op(e1,e1) = e3
| epred2_0
| op(e2,e0) != e2
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_158,plain,
( e4 = unit
| epred13_0
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_156]),c_0_83])]) ).
cnf(c_0_159,plain,
( op(e1,e1) = e4
| epred2_0
| op(e2,e0) != e2
| ~ epred3_0 ),
inference(sr,[status(thm)],[c_0_157,c_0_85]) ).
cnf(c_0_160,plain,
( epred13_0
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_158]),c_0_89])]) ).
cnf(c_0_161,plain,
( op(e1,e1) = e4
| epred13_0
| epred2_0
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_162,plain,
( op(e1,e1) = e4
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred13_0
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_31]),c_0_32])]) ).
cnf(c_0_163,plain,
( e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred13_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_162]),c_0_42]) ).
cnf(c_0_164,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| epred13_0
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_163]),c_0_46])]) ).
cnf(c_0_165,plain,
( e3 = unit
| e4 = unit
| epred13_0
| epred2_0
| op(e4,e0) != e0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_164]),c_0_51]) ).
cnf(c_0_166,plain,
op(e1,e1) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_167,plain,
( op(e4,e3) = e0
| op(e4,e2) = e0
| e4 = unit
| e3 = unit
| epred13_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_165,c_0_58]) ).
cnf(c_0_168,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_169,plain,
op(e1,e1) != e0,
inference(rw,[status(thm)],[c_0_166,c_0_69]) ).
cnf(c_0_170,plain,
( op(e3,e1) = e4
| e3 = unit
| e4 = unit
| epred13_0
| epred2_0
| op(op(e4,e3),e4) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_164]),c_0_60]),c_0_61])]) ).
cnf(c_0_171,plain,
( op(e4,e3) = e0
| e3 = unit
| e4 = unit
| epred13_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_164]),c_0_61]),c_0_64]) ).
fof(c_0_172,plain,
( epred1_0
<=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 ) ) ),
introduced(definition) ).
cnf(c_0_173,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_174,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_16]),c_0_169]),c_0_53]) ).
cnf(c_0_175,plain,
( op(e3,e1) = e4
| e4 = unit
| e3 = unit
| epred13_0
| epred2_0
| op(e0,e4) != e3 ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
fof(c_0_176,plain,
( epred2_0
=> ( epred1_0
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_148]),c_0_172]) ).
cnf(c_0_177,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e2) != e0 ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_178,plain,
op(e0,unit) = e0,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_179,plain,
( op(e2,e4) = e3
| op(e3,e1) = e4
| e3 = unit
| e4 = unit
| epred13_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_175,c_0_72]) ).
fof(c_0_180,plain,
( ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e0,e0) = e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e1,e1) = e0
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e0,e0) = e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e0,e0) = e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) = e1
| op(e1,e0) != e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e1) = e2
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e2) = e1
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e2) != e1
| op(e1,e1) != e1
| op(e1,e0) != e1
| op(e0,e4) != e0
| epred1_0
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_176])]) ).
cnf(c_0_181,plain,
( op(e3,e1) = e0
| e3 = unit
| e4 = unit
| epred13_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_164]),c_0_36]),c_0_178])]),c_0_26]) ).
cnf(c_0_182,plain,
( op(e3,e1) = e4
| e4 = unit
| e3 = unit
| epred13_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_164]),c_0_60]),c_0_76]) ).
cnf(c_0_183,plain,
( op(e2,e2) = e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| op(e1,e1) != e1
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_184,plain,
( e4 = unit
| e3 = unit
| epred13_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_64]) ).
cnf(c_0_185,plain,
( op(e1,e1) = e2
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| op(e1,e1) != e1
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_186,plain,
( op(e2,e2) = e1
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_187,plain,
( op(e2,e2) = e1
| epred1_0
| op(e1,e1) != e1
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_12]),c_0_169]),c_0_26]) ).
cnf(c_0_188,plain,
( e4 = unit
| epred13_0
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_184]),c_0_83])]) ).
cnf(c_0_189,plain,
( op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| op(e1,e2) != e1
| op(e1,e1) != e1
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_190,plain,
( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_191,plain,
( op(e1,e1) = e2
| epred1_0
| op(e1,e1) != e1
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_12]),c_0_169]),c_0_26]) ).
cnf(c_0_192,plain,
( op(e2,e2) = e1
| epred1_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_12]),c_0_169]),c_0_26]),c_0_187]) ).
cnf(c_0_193,plain,
( epred13_0
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_188]),c_0_89])]) ).
cnf(c_0_194,plain,
( op(e1,e1) = e1
| op(e1,e1) = e0
| op(e4,e4) = e0
| epred1_0
| op(e1,e2) != e1
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_195,plain,
( epred1_0
| op(e1,e1) != e1
| op(e1,e2) != e1
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_12]),c_0_169]),c_0_26]) ).
cnf(c_0_196,plain,
( op(e1,e1) = e2
| epred1_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_12]),c_0_169]),c_0_26]),c_0_191]) ).
cnf(c_0_197,plain,
( op(e2,e2) = e1
| epred13_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_198,plain,
( epred1_0
| op(e1,e2) != e1
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_12]),c_0_169]),c_0_26]),c_0_195]) ).
cnf(c_0_199,plain,
( op(e1,e1) = e2
| epred13_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_193]) ).
cnf(c_0_200,plain,
( op(e3,e2) = e4
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred13_0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_197]),c_0_21]) ).
cnf(c_0_201,plain,
( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| epred1_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_198,c_0_144]) ).
cnf(c_0_202,plain,
( epred13_0
| epred1_0
| op(e1,e2) != e2 ),
inference(spm,[status(thm)],[c_0_145,c_0_199]) ).
cnf(c_0_203,plain,
( op(e4,e3) = unit
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred13_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_141,c_0_200]) ).
fof(c_0_204,plain,
( epred1_0
=> ( ( op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 ) ) ),
inference(split_equiv,[status(thm)],[c_0_172]) ).
cnf(c_0_205,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_206,plain,
( op(e1,e2) = e3
| op(e1,e2) = e4
| epred13_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_193]),c_0_202]) ).
cnf(c_0_207,plain,
( e1 = unit
| e3 = unit
| e4 = unit
| e2 = unit
| epred13_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_115,c_0_203]) ).
fof(c_0_208,plain,
( ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e2,e2) = e0
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e2,e2) = e0
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e2) != e0
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e2) != e0
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e2) != e0
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e2) != e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e2) != e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e2) != e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e2,e2) = e0
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e2,e2) = e0
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e2,e2) = e0
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e2,e2) = e0
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e2) != e0
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e2) != e0
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e2) != e0
| op(e0,e0) = e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e2) != e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e2) != e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e2) != e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e0) = e2
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e2,e2) = e0
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e2,e2) = e0
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e2,e2) = e0
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e0) = e3
| op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e3) = e0
| op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e3) != e0
| op(e0,e2) != e0
| op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_204])]) ).
cnf(c_0_209,plain,
( op(e1,e2) = e4
| epred13_0
| epred1_0
| op(e3,e2) != e3 ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_210,plain,
( e2 = unit
| e4 = unit
| e3 = unit
| epred13_0
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_207]),c_0_46])]) ).
cnf(c_0_211,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_208]) ).
cnf(c_0_212,plain,
( e3 = unit
| e4 = unit
| epred13_0
| epred1_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_120]),c_0_46])]),c_0_21]) ).
cnf(c_0_213,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_208]) ).
cnf(c_0_214,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) != e0
| ~ epred1_0 ),
inference(sr,[status(thm)],[c_0_211,c_0_169]) ).
cnf(c_0_215,plain,
( e4 = unit
| epred13_0
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_212]),c_0_83])]) ).
cnf(c_0_216,plain,
( op(e0,e0) = e3
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) != e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_208]) ).
cnf(c_0_217,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_213,c_0_169]),c_0_214]) ).
cnf(c_0_218,plain,
( epred13_0
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_215]),c_0_89])]) ).
cnf(c_0_219,plain,
( op(e0,e0) = e3
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_208]) ).
cnf(c_0_220,plain,
( op(e2,e2) = e0
| op(e0,e0) = e3
| op(e0,e0) != e0
| ~ epred1_0 ),
inference(sr,[status(thm)],[c_0_216,c_0_169]) ).
cnf(c_0_221,plain,
op(e0,e0) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_222,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| epred13_0 ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_223,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_224,plain,
( epred12_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 ) ) ),
introduced(definition) ).
cnf(c_0_225,plain,
( op(e2,e2) = e0
| op(e0,e0) = e3
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_219,c_0_169]),c_0_220]) ).
cnf(c_0_226,plain,
( op(e0,e0) = e3
| epred13_0
| op(e0,e2) != e2 ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_227,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| op(unit,unit) != e3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_31]),c_0_89]) ).
fof(c_0_228,plain,
( epred13_0
=> ( epred12_0
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_38]),c_0_224]) ).
cnf(c_0_229,plain,
( op(e2,e2) = e0
| op(e0,e0) = e3
| epred13_0 ),
inference(spm,[status(thm)],[c_0_225,c_0_218]) ).
cnf(c_0_230,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred13_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_31]),c_0_83])]),c_0_227]) ).
fof(c_0_231,plain,
( ( op(e0,e4) != op(e4,e0)
| op(e4,e3) != op(e3,e4)
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(e4,e3) != op(e3,e4)
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(e4,e3) != op(e3,e4)
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e4) = e3
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e4) = e3
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e4) = e3
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e3) != e4
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e3) != e4
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e3) != e4
| op(e3,e3) != op(e3,e3)
| epred12_0
| ~ epred13_0 )
& ( op(e0,e4) != op(e4,e0)
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) = e3
| epred12_0
| ~ epred13_0 )
& ( op(e0,e4) != op(e4,e0)
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(e4,e3) != op(e3,e4)
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e4) = e3
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 )
& ( op(e0,e4) != op(e4,e0)
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 )
& ( op(op(e4,e0),e4) != e0
| op(op(e3,e4),e3) != e4
| op(op(e3,e3),e3) != e3
| epred12_0
| ~ epred13_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_228])]) ).
cnf(c_0_232,plain,
( op(e2,e2) = e0
| epred13_0
| op(e0,e4) != e3 ),
inference(spm,[status(thm)],[c_0_95,c_0_229]) ).
cnf(c_0_233,plain,
op(e2,e0) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_234,plain,
( e2 = unit
| e3 = unit
| e4 = unit
| epred13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_230]),c_0_46])]) ).
cnf(c_0_235,plain,
( epred12_0
| op(e0,e4) != op(e4,e0)
| op(e4,e3) != op(e3,e4)
| $false
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_231]) ).
cnf(c_0_236,plain,
( op(e2,e4) = e3
| op(e2,e2) = e0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_232,c_0_72]) ).
cnf(c_0_237,plain,
( e4 = unit
| e3 = unit
| epred13_0
| op(unit,unit) != e0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_51]) ).
cnf(c_0_238,plain,
( epred12_0
| op(e4,e0) != op(e0,e4)
| op(e4,e3) != op(e3,e4)
| ~ epred13_0 ),
inference(cn,[status(thm)],[c_0_235]) ).
cnf(c_0_239,plain,
( e4 = unit
| e3 = unit
| epred13_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_234]),c_0_60]),c_0_76]),c_0_237]) ).
cnf(c_0_240,plain,
( epred12_0
| op(e0,e4) != op(e4,e0)
| op(e4,e3) != e2
| ~ epred13_0 ),
inference(rw,[status(thm)],[c_0_238,c_0_23]) ).
cnf(c_0_241,plain,
( e4 = unit
| epred13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_239]),c_0_83])]) ).
cnf(c_0_242,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred12_0
| op(e4,e3) != e2
| ~ epred13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_31]),c_0_60]),c_0_61])]) ).
cnf(c_0_243,plain,
epred13_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_241]),c_0_89])]) ).
cnf(c_0_244,plain,
( op(op(e4,e0),e0) = e4
| op(op(e3,e4),e4) = e3
| epred12_0
| $false
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_231]) ).
cnf(c_0_245,plain,
( e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred12_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_243])]),c_0_115]) ).
cnf(c_0_246,plain,
( op(op(e3,e4),e4) = e3
| op(op(e4,e0),e0) = e4
| epred12_0
| ~ epred13_0 ),
inference(cn,[status(thm)],[c_0_244]) ).
cnf(c_0_247,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_245]),c_0_46])]) ).
cnf(c_0_248,plain,
( op(op(e4,e0),e0) = e4
| op(e2,e4) = e3
| epred12_0
| ~ epred13_0 ),
inference(rw,[status(thm)],[c_0_246,c_0_23]) ).
cnf(c_0_249,plain,
( e3 = unit
| e4 = unit
| epred12_0
| op(e4,e0) != e0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_247]),c_0_51]) ).
cnf(c_0_250,plain,
( op(op(e4,e0),e0) = e4
| op(e2,e4) = e3
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_243])]) ).
fof(c_0_251,plain,
( epred11_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 ) ) ),
introduced(definition) ).
cnf(c_0_252,plain,
( op(e4,e3) = e0
| op(e4,e2) = e0
| e4 = unit
| e3 = unit
| epred12_0 ),
inference(spm,[status(thm)],[c_0_249,c_0_58]) ).
cnf(c_0_253,plain,
( op(e4,e3) = e2
| op(e4,e2) = e2
| op(e2,e4) = e3
| op(e2,e0) = e4
| epred12_0 ),
inference(spm,[status(thm)],[c_0_250,c_0_107]) ).
cnf(c_0_254,plain,
( e3 = unit
| e4 = unit
| epred12_0
| op(unit,unit) != e0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_247]),c_0_51]) ).
cnf(c_0_255,plain,
( op(unit,unit) = unit
| e3 = unit
| e4 = unit
| epred12_0 ),
inference(spm,[status(thm)],[c_0_83,c_0_247]) ).
cnf(c_0_256,plain,
( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
fof(c_0_257,plain,
( epred12_0
=> ( epred11_0
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_224]),c_0_251]) ).
cnf(c_0_258,plain,
( op(e4,e3) = e0
| e3 = unit
| e4 = unit
| epred12_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_247]),c_0_61]),c_0_64]) ).
cnf(c_0_259,plain,
( op(e4,e3) = unit
| e3 = unit
| e4 = unit
| epred12_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_247]),c_0_61]),c_0_60]),c_0_51])]),c_0_76]),c_0_64]) ).
cnf(c_0_260,plain,
( e4 = unit
| e3 = unit
| epred12_0
| e0 != unit ),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_261,plain,
( op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_69]),c_0_64]) ).
fof(c_0_262,plain,
( ( op(e2,e3) != op(e3,e2)
| op(e1,e3) != op(e3,e1)
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(e1,e3) != op(e3,e1)
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(e1,e3) != op(e3,e1)
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e1) = e3
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e1) = e3
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e1) = e3
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e3) != e1
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e3) != e1
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e3) != e1
| op(e0,e3) != op(e3,e0)
| epred11_0
| ~ epred12_0 )
& ( op(e2,e3) != op(e3,e2)
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e0) = e3
| epred11_0
| ~ epred12_0 )
& ( op(e2,e3) != op(e3,e2)
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(e1,e3) != op(e3,e1)
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e1) = e3
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 )
& ( op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e2) = e3
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 )
& ( op(op(e3,e2),e3) != e2
| op(op(e3,e1),e3) != e1
| op(op(e3,e0),e3) != e0
| epred11_0
| ~ epred12_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_257])]) ).
cnf(c_0_263,plain,
( e4 = unit
| e3 = unit
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_260]) ).
cnf(c_0_264,plain,
( op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_31]),c_0_120]),c_0_21]) ).
cnf(c_0_265,plain,
( epred11_0
| op(e2,e3) != op(e3,e2)
| op(e1,e3) != op(e3,e1)
| op(e0,e3) != op(e3,e0)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_262]) ).
cnf(c_0_266,plain,
( e4 = unit
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_263]),c_0_83])]) ).
cnf(c_0_267,plain,
( op(e1,e2) = e4
| op(e1,e3) = e4
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_264]),c_0_42]) ).
cnf(c_0_268,plain,
op(e2,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_269,plain,
op(e4,e2) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_270,plain,
( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_271,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred11_0
| op(e1,e3) != op(e3,e1)
| op(e2,e3) != op(e3,e2)
| ~ epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_31]),c_0_89]),c_0_46])]) ).
cnf(c_0_272,plain,
epred12_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_266]),c_0_89])]) ).
cnf(c_0_273,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_274,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_275,plain,
( op(e1,e3) = e4
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_267]),c_0_76]) ).
cnf(c_0_276,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_277,plain,
op(e2,e4) != e1,
inference(rw,[status(thm)],[c_0_268,c_0_12]) ).
cnf(c_0_278,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_279,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_280,plain,
op(e4,e2) != e1,
inference(rw,[status(thm)],[c_0_269,c_0_12]) ).
cnf(c_0_281,plain,
op(e1,e0) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_282,plain,
( op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_270,c_0_16]),c_0_76]) ).
cnf(c_0_283,plain,
( e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred11_0
| op(e1,e3) != op(e3,e1)
| op(e2,e3) != op(e3,e2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_272])]) ).
cnf(c_0_284,plain,
( op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_23]),c_0_42]) ).
cnf(c_0_285,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| op(e3,e3) != e4 ),
inference(spm,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_286,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(sr,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_287,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| op(e2,e1) != e1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_31]),c_0_36]) ).
cnf(c_0_288,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_289,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| op(e1,e2) != e1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_31]),c_0_120]) ).
cnf(c_0_290,plain,
( op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_31]),c_0_36]),c_0_21]) ).
cnf(c_0_291,plain,
( op(op(e3,e1),e1) = e3
| epred11_0
| op(op(e3,e2),e3) != e2
| op(e0,e3) != op(e3,e0)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_262]) ).
cnf(c_0_292,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred11_0
| op(e2,e3) != op(e3,e2)
| op(e3,e1) != e4 ),
inference(spm,[status(thm)],[c_0_283,c_0_275]) ).
cnf(c_0_293,plain,
( op(e3,e2) = e4
| op(e3,e1) = e4
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_31]),c_0_46]),c_0_76]),c_0_285]) ).
cnf(c_0_294,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_31]),c_0_32]),c_0_19]),c_0_287]) ).
cnf(c_0_295,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_31]),c_0_83]),c_0_19]),c_0_289]) ).
cnf(c_0_296,plain,
( op(e3,e1) = unit
| op(e2,e1) = unit
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_31]),c_0_36])]) ).
cnf(c_0_297,plain,
( op(e2,e1) = e4
| op(e3,e1) = e4
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_290]),c_0_42]) ).
cnf(c_0_298,plain,
( op(op(e3,e1),e1) = e3
| epred11_0
| op(e0,e3) != op(e3,e0)
| op(op(e3,e2),e3) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_291,c_0_272])]) ).
cnf(c_0_299,plain,
( op(e3,e2) = e4
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred11_0
| op(e2,e3) != op(e3,e2) ),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_300,plain,
( op(e3,e2) = e4
| op(e2,e3) = e1
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_137]),c_0_21]) ).
cnf(c_0_301,plain,
( op(e3,e2) = e4
| op(e3,e2) = e1
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_137]),c_0_21]) ).
cnf(c_0_302,plain,
( op(e3,e1) = e4
| op(e3,e1) = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_296,c_0_297]) ).
cnf(c_0_303,plain,
( op(op(e3,e1),e1) = e3
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred11_0
| op(op(e3,e2),e3) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_31]),c_0_89]),c_0_46])]) ).
cnf(c_0_304,plain,
( op(e3,e2) = e4
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_301]) ).
cnf(c_0_305,plain,
( op(e3,e1) = unit
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| op(e3,e2) != e4 ),
inference(spm,[status(thm)],[c_0_134,c_0_302]) ).
cnf(c_0_306,plain,
( op(op(e3,e1),e1) = e3
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_115]) ).
cnf(c_0_307,plain,
( op(e3,e1) = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred11_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_304]) ).
cnf(c_0_308,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred11_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_36]),c_0_20]) ).
cnf(c_0_309,plain,
op(e3,e0) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_310,plain,
( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_311,plain,
op(e0,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_312,plain,
op(e2,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_313,plain,
( e2 = unit
| e3 = unit
| e4 = unit
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_308]),c_0_46])]) ).
cnf(c_0_314,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_315,plain,
op(e3,e0) != e2,
inference(rw,[status(thm)],[c_0_309,c_0_23]) ).
cnf(c_0_316,plain,
op(e3,e1) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_317,plain,
( op(e3,e1) = e4
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_310,c_0_28]),c_0_44]) ).
cnf(c_0_318,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_319,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_320,plain,
op(e0,e4) != e1,
inference(rw,[status(thm)],[c_0_311,c_0_12]) ).
cnf(c_0_321,plain,
( e4 = unit
| e3 = unit
| epred11_0
| op(e3,e0) != e0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_51]) ).
cnf(c_0_322,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(sr,[status(thm)],[c_0_314,c_0_315]) ).
cnf(c_0_323,plain,
( op(e3,e1) = e4
| op(e3,e1) = e1
| op(e3,e3) != e0 ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_324,plain,
( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(sr,[status(thm)],[c_0_318,c_0_86]) ).
cnf(c_0_325,plain,
op(e3,e2) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_326,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_327,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[c_0_319,c_0_320]) ).
cnf(c_0_328,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_329,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_330,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e1
| e3 = unit
| e4 = unit
| epred11_0 ),
inference(spm,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_331,plain,
( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e1
| op(e3,e1) = e1
| op(e3,e1) = e4 ),
inference(spm,[status(thm)],[c_0_323,c_0_324]) ).
cnf(c_0_332,plain,
( op(e3,e1) = e0
| e4 = unit
| e3 = unit
| epred11_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_313]),c_0_36]),c_0_178])]),c_0_26]) ).
cnf(c_0_333,plain,
( e4 = unit
| e3 = unit
| epred11_0
| op(e3,e3) != e3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_313]),c_0_46]) ).
cnf(c_0_334,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_335,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_328,c_0_23]),c_0_19]) ).
cnf(c_0_336,plain,
( op(e3,e0) = e3
| op(e3,e0) = e4
| e4 = unit
| e3 = unit
| epred11_0
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_337,plain,
( op(e3,e3) = e1
| op(e3,e3) = e4
| e3 = unit
| e4 = unit
| epred11_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_26]),c_0_64]),c_0_333]) ).
cnf(c_0_338,plain,
( epred11_0
| op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e3) != e1
| op(e0,e3) != op(e3,e0)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_262]) ).
cnf(c_0_339,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_334,c_0_335]) ).
cnf(c_0_340,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_341,plain,
( op(op(e3,e1),e1) = e3
| op(op(e3,e0),e0) = e3
| epred11_0
| op(e2,e3) != op(e3,e2)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_262]) ).
cnf(c_0_342,plain,
op(e3,e0) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_343,plain,
( op(e3,e3) = e4
| op(e3,e0) = e4
| op(e3,e0) = e3
| e3 = unit
| e4 = unit
| epred11_0 ),
inference(spm,[status(thm)],[c_0_336,c_0_337]) ).
cnf(c_0_344,plain,
( epred11_0
| op(e0,e3) != op(e3,e0)
| op(e2,e3) != op(e3,e2)
| op(op(e3,e1),e3) != e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_272])]) ).
cnf(c_0_345,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e2,e1) != e1 ),
inference(spm,[status(thm)],[c_0_278,c_0_339]) ).
cnf(c_0_346,plain,
( e4 = unit
| e3 = unit
| epred11_0
| op(e3,e1) != e1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_313]),c_0_36]) ).
cnf(c_0_347,plain,
( op(op(e3,e1),e1) = e3
| op(op(e3,e0),e0) = e3
| epred11_0
| op(e2,e3) != op(e3,e2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_272])]) ).
cnf(c_0_348,plain,
( op(e3,e0) = e4
| op(e3,e3) = e4
| e4 = unit
| e3 = unit
| epred11_0
| op(e3,e2) != e3 ),
inference(spm,[status(thm)],[c_0_342,c_0_343]) ).
cnf(c_0_349,plain,
op(e4,e0) != op(e4,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_350,plain,
( e3 = unit
| e4 = unit
| epred11_0
| op(e0,e3) != op(e3,e0)
| op(e2,e3) != op(e3,e2)
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_344,c_0_332]) ).
cnf(c_0_351,plain,
( op(e3,e3) = e1
| op(e0,e3) = e1
| e4 = unit
| e3 = unit
| epred11_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_313]),c_0_178]),c_0_46]),c_0_36])]),c_0_26]),c_0_20]),c_0_346]) ).
fof(c_0_352,plain,
( epred10_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 ) ) ),
introduced(definition) ).
cnf(c_0_353,plain,
( op(op(e3,e0),e0) = e3
| op(op(e3,e1),e1) = e3
| e4 = unit
| e3 = unit
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_313]),c_0_89]),c_0_46])]) ).
cnf(c_0_354,plain,
( op(e3,e3) = e4
| op(e3,e0) = e4
| e3 = unit
| e4 = unit
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_313]),c_0_46])]) ).
cnf(c_0_355,plain,
op(e4,e0) != e3,
inference(rw,[status(thm)],[c_0_349,c_0_16]) ).
cnf(c_0_356,plain,
op(e0,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_357,plain,
( op(e3,e3) = e1
| e4 = unit
| e3 = unit
| epred11_0
| op(e2,e3) != op(e3,e2)
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_350,c_0_351]) ).
fof(c_0_358,plain,
( epred11_0
=> ( epred10_0
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_251]),c_0_352]) ).
cnf(c_0_359,plain,
( op(op(e3,e1),e1) = e3
| op(e3,e3) = e4
| e3 = unit
| e4 = unit
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_355]) ).
cnf(c_0_360,plain,
op(e0,e1) != e3,
inference(rw,[status(thm)],[c_0_356,c_0_16]) ).
cnf(c_0_361,plain,
( op(e3,e2) = e1
| op(e3,e3) = e1
| e3 = unit
| e4 = unit
| epred11_0
| op(e2,e3) != op(e3,e2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_335]),c_0_346]) ).
fof(c_0_362,plain,
( ( op(e4,e2) != op(e2,e4)
| op(e3,e2) != op(e2,e3)
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(e3,e2) != op(e2,e3)
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(e3,e2) != op(e2,e3)
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e3) = e2
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e3) = e2
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e3) = e2
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e2) != e3
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e2) != e3
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e2) != e3
| op(e2,e2) != op(e2,e2)
| epred10_0
| ~ epred11_0 )
& ( op(e4,e2) != op(e2,e4)
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) = e2
| epred10_0
| ~ epred11_0 )
& ( op(e4,e2) != op(e2,e4)
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(e3,e2) != op(e2,e3)
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e3) = e2
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 )
& ( op(e4,e2) != op(e2,e4)
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e4) = e2
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 )
& ( op(op(e2,e4),e2) != e4
| op(op(e2,e3),e2) != e3
| op(op(e2,e2),e2) != e2
| epred10_0
| ~ epred11_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_358])]) ).
cnf(c_0_363,plain,
( op(e3,e3) = e4
| e4 = unit
| e3 = unit
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_332]),c_0_360]) ).
cnf(c_0_364,plain,
( op(e3,e3) = e1
| e4 = unit
| e3 = unit
| epred11_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_313]),c_0_46]),c_0_89]),c_0_46])]),c_0_20]) ).
cnf(c_0_365,plain,
( epred10_0
| op(e4,e2) != op(e2,e4)
| op(e3,e2) != op(e2,e3)
| $false
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_362]) ).
cnf(c_0_366,plain,
( e3 = unit
| e4 = unit
| epred11_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_364]),c_0_21]) ).
cnf(c_0_367,plain,
( epred10_0
| op(e3,e2) != op(e2,e3)
| op(e4,e2) != op(e2,e4)
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_365]) ).
cnf(c_0_368,plain,
( e4 = unit
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_366]),c_0_83])]) ).
cnf(c_0_369,plain,
op(e1,e4) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_370,plain,
op(e4,e3) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_371,plain,
( e3 = unit
| e4 = unit
| epred10_0
| epred5_0
| ~ epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_50]),c_0_89]),c_0_46]),c_0_60]),c_0_61])]) ).
cnf(c_0_372,plain,
epred11_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_368]),c_0_89])]) ).
cnf(c_0_373,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_374,plain,
op(e2,e4) != e0,
inference(rw,[status(thm)],[c_0_369,c_0_69]) ).
cnf(c_0_375,plain,
op(e0,e4) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_376,plain,
op(e1,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_377,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_378,plain,
op(e4,e3) != e1,
inference(rw,[status(thm)],[c_0_370,c_0_12]) ).
cnf(c_0_379,plain,
op(e1,e0) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_380,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_381,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_382,plain,
( e4 = unit
| e3 = unit
| epred10_0
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_371,c_0_372])]) ).
cnf(c_0_383,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(sr,[status(thm)],[c_0_373,c_0_374]) ).
cnf(c_0_384,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_385,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| op(e2,e4) != e4 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_31]),c_0_60]) ).
cnf(c_0_386,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| op(e2,e3) != e4 ),
inference(spm,[status(thm)],[c_0_376,c_0_275]) ).
cnf(c_0_387,plain,
op(e2,e2) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_388,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[c_0_377,c_0_378]) ).
cnf(c_0_389,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| op(e1,e3) != e1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_31]),c_0_120]) ).
cnf(c_0_390,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_380,c_0_23]),c_0_381]) ).
cnf(c_0_391,plain,
( e4 = unit
| epred10_0
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_382]),c_0_83])]) ).
cnf(c_0_392,plain,
( op(e2,e3) = unit
| op(e2,e2) = unit
| op(e2,e1) = unit
| e4 = unit
| e3 = unit
| e1 = unit
| e2 = unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_31]),c_0_32])]) ).
cnf(c_0_393,plain,
( op(e2,e2) = e4
| op(e2,e1) = e4
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_31]),c_0_32]),c_0_42]),c_0_385]),c_0_386]) ).
cnf(c_0_394,plain,
( op(e3,e2) = e1
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_387,c_0_295]) ).
cnf(c_0_395,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_31]),c_0_89]),c_0_20]),c_0_389]) ).
cnf(c_0_396,plain,
( op(e3,e3) = unit
| op(e3,e2) = unit
| op(e3,e1) = unit
| e4 = unit
| e2 = unit
| e1 = unit
| e3 = unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_31]),c_0_46])]) ).
cnf(c_0_397,plain,
( epred10_0
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_391]),c_0_89])]) ).
cnf(c_0_398,plain,
( op(e2,e2) = e4
| op(e2,e2) = unit
| op(e2,e3) = unit
| e2 = unit
| e1 = unit
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_392,c_0_393]) ).
cnf(c_0_399,plain,
( op(e2,e2) = e4
| op(e3,e1) = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_296,c_0_393]) ).
cnf(c_0_400,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(spm,[status(thm)],[c_0_394,c_0_395]) ).
cnf(c_0_401,plain,
( op(e3,e2) = e4
| op(e3,e2) = unit
| op(e3,e3) = unit
| e3 = unit
| e1 = unit
| e2 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_396,c_0_293]) ).
cnf(c_0_402,plain,
( op(e0,e0) = e3
| epred10_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_91,c_0_397]) ).
cnf(c_0_403,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_404,plain,
( op(e2,e3) = unit
| op(e2,e2) = unit
| op(e2,e3) = e1
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_398]),c_0_21]) ).
cnf(c_0_405,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_406,plain,
( op(e3,e1) = unit
| op(e2,e3) = e1
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_399]),c_0_21]) ).
cnf(c_0_407,plain,
( op(e3,e3) = unit
| op(e3,e2) = unit
| op(e3,e3) = e1
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_401]),c_0_21]) ).
cnf(c_0_408,plain,
( epred10_0
| epred4_0
| op(e0,e4) != e3 ),
inference(spm,[status(thm)],[c_0_95,c_0_402]) ).
cnf(c_0_409,plain,
( e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred10_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_397]) ).
cnf(c_0_410,plain,
( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[c_0_403,c_0_139]) ).
cnf(c_0_411,plain,
( op(e2,e3) = unit
| op(e2,e3) = e1
| e2 = unit
| e3 = unit
| e4 = unit
| e1 = unit ),
inference(spm,[status(thm)],[c_0_294,c_0_404]) ).
cnf(c_0_412,plain,
( op(e3,e1) = unit
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_405,c_0_406]) ).
cnf(c_0_413,plain,
( op(e3,e3) = unit
| op(e3,e3) = e1
| e2 = unit
| e3 = unit
| e4 = unit
| e1 = unit ),
inference(spm,[status(thm)],[c_0_400,c_0_407]) ).
cnf(c_0_414,plain,
( op(e2,e4) = e3
| epred10_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_408,c_0_72]) ).
cnf(c_0_415,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| epred10_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_409]),c_0_46])]) ).
cnf(c_0_416,plain,
( op(e4,e2) = unit
| op(e3,e2) = unit
| op(e2,e2) = unit
| e4 = unit
| e3 = unit
| e1 = unit
| e2 = unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_31]),c_0_83])]) ).
cnf(c_0_417,plain,
( op(e2,e3) = unit
| e1 = unit
| e4 = unit
| e3 = unit
| e2 = unit
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_405,c_0_411]) ).
cnf(c_0_418,plain,
( op(e3,e3) = unit
| op(e3,e1) = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_412,c_0_413]) ).
cnf(c_0_419,plain,
( e3 = unit
| e4 = unit
| epred10_0
| epred4_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_415]),c_0_60]),c_0_76]) ).
cnf(c_0_420,plain,
( op(e3,e2) = unit
| op(e4,e2) = unit
| e2 = unit
| e1 = unit
| e3 = unit
| e4 = unit
| op(e2,e3) != unit ),
inference(spm,[status(thm)],[c_0_387,c_0_416]) ).
cnf(c_0_421,plain,
( op(e3,e3) = unit
| op(e2,e3) = unit
| e2 = unit
| e3 = unit
| e4 = unit
| e1 = unit ),
inference(spm,[status(thm)],[c_0_417,c_0_413]) ).
cnf(c_0_422,plain,
( op(e3,e3) = unit
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| op(e3,e2) != unit ),
inference(spm,[status(thm)],[c_0_134,c_0_418]) ).
cnf(c_0_423,plain,
( op(op(e2,e3),e3) = e2
| epred10_0
| op(op(e2,e4),e2) != e4
| $false
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_362]) ).
cnf(c_0_424,plain,
( e4 = unit
| epred10_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_419]),c_0_83])]) ).
cnf(c_0_425,plain,
op(e2,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_426,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_427,plain,
op(e3,e3) != op(e4,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_428,plain,
( op(e3,e3) = unit
| op(e4,e2) = unit
| e4 = unit
| e3 = unit
| e1 = unit
| e2 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_421]),c_0_422]) ).
cnf(c_0_429,plain,
( op(op(e2,e3),e3) = e2
| epred10_0
| op(op(e2,e4),e2) != e4
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_423]) ).
cnf(c_0_430,plain,
( epred10_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_424]),c_0_89])]) ).
cnf(c_0_431,plain,
( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e4,e2) != e0 ),
inference(spm,[status(thm)],[c_0_425,c_0_426]) ).
cnf(c_0_432,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| op(e2,e2) != e2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_31]),c_0_32]) ).
cnf(c_0_433,plain,
( e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| op(e2,e2) != e3 ),
inference(spm,[status(thm)],[c_0_143,c_0_129]) ).
cnf(c_0_434,plain,
op(e4,e2) != op(e4,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_435,plain,
( op(e4,e2) = unit
| e2 = unit
| e1 = unit
| e3 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_428]),c_0_126]) ).
cnf(c_0_436,plain,
( op(op(e2,e3),e3) = e2
| epred10_0
| op(op(e2,e4),e2) != e4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_429,c_0_372])]) ).
cnf(c_0_437,plain,
( op(e2,e4) = e3
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_31]),c_0_60]),c_0_76]) ).
cnf(c_0_438,plain,
( op(e2,e2) = e1
| epred10_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_127,c_0_430]) ).
cnf(c_0_439,plain,
( op(e4,e3) = unit
| op(e2,e2) = e1
| op(e2,e2) = e4
| e4 = unit
| e1 = unit
| e2 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_126]),c_0_31]),c_0_432]),c_0_433]) ).
cnf(c_0_440,plain,
( e4 = unit
| e3 = unit
| e1 = unit
| e2 = unit
| op(e4,e3) != unit ),
inference(spm,[status(thm)],[c_0_434,c_0_435]) ).
cnf(c_0_441,plain,
( op(op(e2,e3),e3) = e2
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred10_0
| op(e3,e2) != e4 ),
inference(spm,[status(thm)],[c_0_436,c_0_437]) ).
cnf(c_0_442,plain,
( op(e3,e2) = e4
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred10_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_438]),c_0_21]) ).
cnf(c_0_443,plain,
( op(e2,e2) = e4
| op(e2,e3) = unit
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_439]),c_0_21]),c_0_440]) ).
cnf(c_0_444,plain,
( epred10_0
| op(op(e2,e4),e2) != e4
| op(e3,e2) != op(e2,e3)
| $false
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_362]) ).
cnf(c_0_445,plain,
( op(op(e2,e3),e3) = e2
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred10_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_441,c_0_442]) ).
cnf(c_0_446,plain,
( op(e2,e3) = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred10_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_438]),c_0_21]) ).
cnf(c_0_447,plain,
( epred10_0
| op(e3,e2) != op(e2,e3)
| op(op(e2,e4),e2) != e4
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_444]) ).
cnf(c_0_448,plain,
( e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred10_0
| epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_446]),c_0_89]),c_0_29]) ).
cnf(c_0_449,plain,
( epred10_0
| op(e2,e3) != op(e3,e2)
| op(op(e2,e4),e2) != e4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_447,c_0_372])]) ).
cnf(c_0_450,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| epred10_0
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_448]),c_0_46])]) ).
cnf(c_0_451,plain,
( e3 = unit
| e4 = unit
| epred10_0
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_450]),c_0_89]),c_0_46]),c_0_60]),c_0_61])]) ).
cnf(c_0_452,plain,
( e4 = unit
| epred10_0
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_451]),c_0_83])]) ).
cnf(c_0_453,plain,
( epred10_0
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_452]),c_0_89])]) ).
cnf(c_0_454,plain,
( op(e1,e1) = e4
| epred10_0
| epred2_0
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_159,c_0_453]) ).
cnf(c_0_455,plain,
( op(e1,e1) = e4
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred10_0
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_31]),c_0_32])]) ).
cnf(c_0_456,plain,
( e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred10_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_455]),c_0_42]) ).
cnf(c_0_457,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| epred10_0
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_456]),c_0_46])]) ).
cnf(c_0_458,plain,
( e3 = unit
| e4 = unit
| epred10_0
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_457]),c_0_89]),c_0_46]),c_0_60]),c_0_61])]) ).
cnf(c_0_459,plain,
( e4 = unit
| epred10_0
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_458]),c_0_83])]) ).
cnf(c_0_460,plain,
( epred10_0
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_459]),c_0_89])]) ).
cnf(c_0_461,plain,
( op(e2,e2) = e1
| epred10_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_192,c_0_460]) ).
cnf(c_0_462,plain,
( op(e3,e2) = e4
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred10_0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_461]),c_0_21]) ).
cnf(c_0_463,plain,
( op(op(e2,e3),e3) = e2
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred10_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_441,c_0_462]) ).
cnf(c_0_464,plain,
( op(e2,e3) = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred10_0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_461]),c_0_21]) ).
cnf(c_0_465,plain,
( e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred10_0
| epred1_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_464]),c_0_89]),c_0_29]) ).
cnf(c_0_466,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| epred10_0
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_465]),c_0_46])]) ).
cnf(c_0_467,plain,
( e3 = unit
| e4 = unit
| epred10_0
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_466]),c_0_89]),c_0_46]),c_0_60]),c_0_61])]) ).
cnf(c_0_468,plain,
( e4 = unit
| epred10_0
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_467]),c_0_83])]) ).
cnf(c_0_469,plain,
( epred10_0
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_468]),c_0_89])]) ).
cnf(c_0_470,plain,
( op(e2,e2) = e0
| op(e0,e0) = e3
| epred10_0 ),
inference(spm,[status(thm)],[c_0_225,c_0_469]) ).
cnf(c_0_471,plain,
( op(e2,e2) = e0
| epred10_0
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_223,c_0_470]) ).
cnf(c_0_472,plain,
( op(e2,e2) = unit
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_31]),c_0_89])]) ).
fof(c_0_473,plain,
( epred9_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 ) ) ),
introduced(definition) ).
cnf(c_0_474,plain,
( e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_472]),c_0_435]) ).
fof(c_0_475,plain,
( epred10_0
=> ( epred9_0
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_352]),c_0_473]) ).
cnf(c_0_476,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_474]),c_0_46])]) ).
fof(c_0_477,plain,
( ( op(e1,e2) != op(e2,e1)
| op(e0,e2) != op(e2,e0)
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(e0,e2) != op(e2,e0)
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(e0,e2) != op(e2,e0)
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e0) = e2
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e0) = e2
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e0) = e2
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e2) != e0
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e2) != e0
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e2) != e0
| op(e4,e1) != op(e1,e4)
| epred9_0
| ~ epred10_0 )
& ( op(e1,e2) != op(e2,e1)
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e4) = e1
| epred9_0
| ~ epred10_0 )
& ( op(e1,e2) != op(e2,e1)
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(e0,e2) != op(e2,e0)
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e0) = e2
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 )
& ( op(e1,e2) != op(e2,e1)
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e1) = e2
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 )
& ( op(op(e2,e1),e2) != e1
| op(op(e2,e0),e2) != e0
| op(op(e1,e4),e1) != e4
| epred9_0
| ~ epred10_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_475])]) ).
cnf(c_0_478,plain,
( e3 = unit
| e4 = unit
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_476]),c_0_89]),c_0_46]),c_0_60]),c_0_61])]) ).
cnf(c_0_479,plain,
( op(op(e2,e1),e1) = e2
| op(op(e1,e4),e4) = e1
| epred9_0
| op(e0,e2) != op(e2,e0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_477]) ).
cnf(c_0_480,plain,
( e4 = unit
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_478]),c_0_83])]) ).
cnf(c_0_481,plain,
( op(op(e2,e1),e1) = e2
| epred9_0
| op(e0,e2) != op(e2,e0)
| ~ epred10_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_479,c_0_69]),c_0_320]) ).
cnf(c_0_482,plain,
epred10_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_480]),c_0_89])]) ).
cnf(c_0_483,plain,
( op(op(e2,e1),e1) = e2
| epred9_0
| op(e0,e2) != op(e2,e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_481,c_0_482])]) ).
cnf(c_0_484,plain,
( op(op(e2,e1),e1) = e2
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_31]),c_0_83]),c_0_32])]) ).
cnf(c_0_485,plain,
op(e2,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_486,plain,
( op(e2,e2) = e4
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred9_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_393]),c_0_16]),c_0_29]) ).
cnf(c_0_487,plain,
( op(e3,e2) = e4
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_325,c_0_301]) ).
cnf(c_0_488,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred9_0
| op(e3,e2) != e4 ),
inference(spm,[status(thm)],[c_0_485,c_0_486]) ).
cnf(c_0_489,plain,
( op(e3,e3) = unit
| op(e3,e2) = e4
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_487,c_0_413]) ).
cnf(c_0_490,plain,
( op(op(e1,e4),e4) = e1
| epred9_0
| op(e1,e2) != op(e2,e1)
| op(e0,e2) != op(e2,e0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_477]) ).
cnf(c_0_491,plain,
( op(e3,e1) = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred9_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_296]),c_0_36]),c_0_19]) ).
cnf(c_0_492,plain,
( op(e3,e3) = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred9_0 ),
inference(spm,[status(thm)],[c_0_488,c_0_489]) ).
cnf(c_0_493,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
fof(c_0_494,plain,
( epred8_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 ) ) ),
introduced(definition) ).
cnf(c_0_495,plain,
( epred9_0
| op(e0,e2) != op(e2,e0)
| op(e1,e2) != op(e2,e1)
| ~ epred10_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_490,c_0_69]),c_0_320]) ).
cnf(c_0_496,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_491]),c_0_492]) ).
cnf(c_0_497,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_493,c_0_69]),c_0_381]) ).
fof(c_0_498,plain,
( epred9_0
=> ( epred8_0
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_473]),c_0_494]) ).
cnf(c_0_499,plain,
( epred9_0
| op(e0,e2) != op(e2,e0)
| op(e1,e2) != op(e2,e1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_495,c_0_482])]) ).
cnf(c_0_500,plain,
( e2 = unit
| e3 = unit
| e4 = unit
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_496]),c_0_46])]) ).
cnf(c_0_501,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e3) = e3
| op(e1,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_497]),c_0_29]) ).
fof(c_0_502,plain,
( ( op(e3,e1) != op(e1,e3)
| op(e2,e1) != op(e1,e2)
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(e2,e1) != op(e1,e2)
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(e2,e1) != op(e1,e2)
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e2) = e1
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e2) = e1
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e2) = e1
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e1) != e2
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e1) != e2
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e1) != e2
| op(e1,e1) != op(e1,e1)
| epred8_0
| ~ epred9_0 )
& ( op(e3,e1) != op(e1,e3)
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) = e1
| epred8_0
| ~ epred9_0 )
& ( op(e3,e1) != op(e1,e3)
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(e2,e1) != op(e1,e2)
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e2) = e1
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 )
& ( op(e3,e1) != op(e1,e3)
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e3) = e1
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 )
& ( op(op(e1,e3),e1) != e3
| op(op(e1,e2),e1) != e2
| op(op(e1,e1),e1) != e1
| epred8_0
| ~ epred9_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_498])]) ).
cnf(c_0_503,plain,
( e4 = unit
| e3 = unit
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_500]),c_0_178]),c_0_51]),c_0_120]),c_0_36])]) ).
cnf(c_0_504,plain,
( op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e2) = e2
| op(e1,e3) = e2
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_501]),c_0_42]) ).
cnf(c_0_505,plain,
( op(op(e1,e3),e3) = e1
| epred8_0
| op(e2,e1) != op(e1,e2)
| $false
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_502]) ).
cnf(c_0_506,plain,
( e4 = unit
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_503]),c_0_83])]) ).
cnf(c_0_507,plain,
( op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e2) = e3
| epred5_0
| op(e2,e2) != e2 ),
inference(spm,[status(thm)],[c_0_143,c_0_504]) ).
cnf(c_0_508,plain,
( op(unit,unit) = unit
| e3 = unit
| e4 = unit
| epred5_0 ),
inference(spm,[status(thm)],[c_0_83,c_0_50]) ).
cnf(c_0_509,plain,
( op(op(e1,e3),e3) = e1
| epred8_0
| op(e2,e1) != op(e1,e2)
| ~ epred9_0 ),
inference(cn,[status(thm)],[c_0_505]) ).
cnf(c_0_510,plain,
epred9_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_506]),c_0_89])]) ).
cnf(c_0_511,plain,
( op(e1,e3) = e3
| op(e1,e3) = unit
| e3 = unit
| e4 = unit
| epred5_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_50]),c_0_120]),c_0_20]),c_0_508]) ).
fof(c_0_512,plain,
( epred7_0
<=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 ) ) ),
introduced(definition) ).
cnf(c_0_513,plain,
( op(op(e1,e3),e3) = e1
| epred8_0
| op(e1,e2) != op(e2,e1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_509,c_0_510])]) ).
cnf(c_0_514,plain,
( op(e1,e3) = unit
| e4 = unit
| e3 = unit
| epred5_0
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_376,c_0_511]) ).
fof(c_0_515,plain,
( epred7_0
=> ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 ) ) ),
inference(split_equiv,[status(thm)],[c_0_512]) ).
cnf(c_0_516,plain,
( op(op(e1,e3),e3) = e1
| e3 = unit
| e4 = unit
| epred8_0
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_50]),c_0_120]),c_0_36])]) ).
cnf(c_0_517,plain,
( op(e1,e3) = unit
| e3 = unit
| e4 = unit
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_50]),c_0_89])]) ).
fof(c_0_518,plain,
( ( op(e2,e0) != op(e0,e2)
| op(e1,e0) != op(e0,e1)
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(e1,e0) != op(e0,e1)
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(e1,e0) != op(e0,e1)
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e1) = e0
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e1) = e0
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e1) = e0
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e0) != e1
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e0) != e1
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e0) != e1
| op(e0,e0) != op(e0,e0)
| ~ epred7_0 )
& ( op(e2,e0) != op(e0,e2)
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) = e0
| ~ epred7_0 )
& ( op(e2,e0) != op(e0,e2)
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) != e0
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) != e0
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(e1,e0) != op(e0,e1)
| op(op(e0,e0),e0) != e0
| ~ epred7_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) != e0
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) != e0
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e1) = e0
| op(op(e0,e0),e0) != e0
| ~ epred7_0 )
& ( op(e2,e0) != op(e0,e2)
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) != e0
| ~ epred7_0 )
& ( op(op(e0,e2),e2) = e0
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) != e0
| ~ epred7_0 )
& ( op(op(e0,e2),e0) != e2
| op(op(e0,e1),e0) != e1
| op(op(e0,e0),e0) != e0
| ~ epred7_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_515])]) ).
cnf(c_0_519,plain,
( e4 = unit
| e3 = unit
| epred8_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_517]),c_0_89]),c_0_20]) ).
fof(c_0_520,plain,
( epred8_0
=> ( epred7_0
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_494]),c_0_512]) ).
cnf(c_0_521,plain,
( op(e2,e0) != op(e0,e2)
| op(e1,e0) != op(e0,e1)
| $false
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_518]) ).
cnf(c_0_522,plain,
( e4 = unit
| epred8_0
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_519]),c_0_83])]) ).
fof(c_0_523,plain,
( ( op(e0,e1) != op(e1,e0)
| op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e4) = e0
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e4) = e0
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e4) = e0
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e0) != e4
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e0) != e4
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e0) != e4
| op(e3,e0) != op(e0,e3)
| epred7_0
| ~ epred8_0 )
& ( op(e0,e1) != op(e1,e0)
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e3) = e0
| epred7_0
| ~ epred8_0 )
& ( op(e0,e1) != op(e1,e0)
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(e4,e0) != op(e0,e4)
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e4) = e0
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 )
& ( op(e0,e1) != op(e1,e0)
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e0) = e1
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 )
& ( op(op(e1,e0),e1) != e0
| op(op(e0,e4),e0) != e4
| op(op(e0,e3),e0) != e3
| epred7_0
| ~ epred8_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_520])]) ).
cnf(c_0_524,plain,
( op(e1,e0) != op(e0,e1)
| op(e2,e0) != op(e0,e2)
| ~ epred7_0 ),
inference(cn,[status(thm)],[c_0_521]) ).
cnf(c_0_525,plain,
( epred8_0
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_522]),c_0_89])]) ).
cnf(c_0_526,plain,
( epred7_0
| op(e0,e1) != op(e1,e0)
| op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_523]) ).
cnf(c_0_527,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| ~ epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_31]),c_0_36]),c_0_120]),c_0_83]),c_0_32])]) ).
cnf(c_0_528,plain,
( op(e0,e0) = e3
| epred8_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_91,c_0_525]) ).
cnf(c_0_529,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_31]),c_0_36]),c_0_120]),c_0_89]),c_0_46]),c_0_60]),c_0_61])]),c_0_527]) ).
cnf(c_0_530,plain,
( epred8_0
| epred4_0
| op(e0,e4) != e3 ),
inference(spm,[status(thm)],[c_0_95,c_0_528]) ).
cnf(c_0_531,plain,
( e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_525]),c_0_529]) ).
cnf(c_0_532,plain,
( op(e2,e4) = e3
| epred8_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_530,c_0_72]) ).
cnf(c_0_533,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_531]),c_0_46])]) ).
cnf(c_0_534,plain,
( e3 = unit
| e4 = unit
| epred8_0
| epred4_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_533]),c_0_60]),c_0_76]) ).
cnf(c_0_535,plain,
( op(op(e1,e2),e2) = e1
| epred8_0
| op(op(e1,e3),e1) != e3
| $false
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_502]) ).
cnf(c_0_536,plain,
( e4 = unit
| epred8_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_534]),c_0_83])]) ).
cnf(c_0_537,plain,
( op(op(e1,e2),e2) = e1
| epred8_0
| op(op(e1,e3),e1) != e3
| ~ epred9_0 ),
inference(cn,[status(thm)],[c_0_535]) ).
cnf(c_0_538,plain,
( epred8_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_536]),c_0_89])]) ).
cnf(c_0_539,plain,
( op(op(e1,e2),e2) = e1
| epred8_0
| op(op(e1,e3),e1) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_537,c_0_510])]) ).
cnf(c_0_540,plain,
( op(e2,e2) = e1
| epred8_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_127,c_0_538]) ).
cnf(c_0_541,plain,
( op(op(e1,e2),e2) = e1
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_275]),c_0_16])]),c_0_529]) ).
cnf(c_0_542,plain,
( epred8_0
| epred3_0
| op(e3,e2) != e1 ),
inference(spm,[status(thm)],[c_0_485,c_0_540]) ).
cnf(c_0_543,plain,
( op(e3,e2) = e1
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_541,c_0_129]) ).
cnf(c_0_544,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_543]),c_0_529]) ).
cnf(c_0_545,plain,
op(e2,e1) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_546,plain,
( e2 = unit
| e3 = unit
| e4 = unit
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_544]),c_0_46])]) ).
cnf(c_0_547,plain,
( e4 = unit
| e3 = unit
| epred3_0
| op(unit,unit) != e1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_546]),c_0_36]) ).
cnf(c_0_548,plain,
( e4 = unit
| e3 = unit
| epred8_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_546]),c_0_547]) ).
cnf(c_0_549,plain,
( e4 = unit
| epred8_0
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_548]),c_0_83])]) ).
cnf(c_0_550,plain,
( epred8_0
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_549]),c_0_89])]) ).
cnf(c_0_551,plain,
( op(e1,e1) = e4
| epred8_0
| epred2_0
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_159,c_0_550]) ).
cnf(c_0_552,plain,
op(e4,e0) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_553,plain,
( op(e1,e1) = e4
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| epred2_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_31]),c_0_32])]),c_0_529]) ).
cnf(c_0_554,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_555,plain,
op(e4,e0) != e1,
inference(rw,[status(thm)],[c_0_552,c_0_12]) ).
cnf(c_0_556,plain,
( e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_553]),c_0_42]) ).
cnf(c_0_557,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e4,e0) != e0 ),
inference(spm,[status(thm)],[c_0_49,c_0_383]) ).
cnf(c_0_558,plain,
( op(e4,e0) = e4
| op(e4,e0) = e2
| op(e4,e0) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_554,c_0_555]),c_0_355]) ).
cnf(c_0_559,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_556]),c_0_46])]) ).
cnf(c_0_560,plain,
( op(e0,e0) = e2
| op(e1,e1) = e4
| op(e1,e1) = e3
| epred2_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_561,plain,
( op(e4,e0) = e4
| op(e4,e0) = e2
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 ),
inference(spm,[status(thm)],[c_0_557,c_0_558]) ).
cnf(c_0_562,plain,
( e3 = unit
| e4 = unit
| epred2_0
| op(unit,unit) != e0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_559]),c_0_51]) ).
cnf(c_0_563,plain,
( op(e1,e1) = e4
| op(e0,e0) = e2
| epred2_0
| ~ epred3_0 ),
inference(sr,[status(thm)],[c_0_560,c_0_85]) ).
cnf(c_0_564,plain,
( op(e4,e0) = unit
| op(e4,e0) = e4
| e3 = unit
| e4 = unit
| epred2_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_559]),c_0_36]),c_0_89]),c_0_26]),c_0_53]),c_0_562]) ).
cnf(c_0_565,plain,
op(e0,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_566,plain,
( op(e1,e1) = e4
| op(e0,e0) = e2
| epred8_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_563,c_0_550]) ).
cnf(c_0_567,plain,
( op(e4,e0) = unit
| e4 = unit
| e3 = unit
| epred2_0
| op(e4,e2) != e4 ),
inference(spm,[status(thm)],[c_0_113,c_0_564]) ).
cnf(c_0_568,plain,
op(e1,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_569,plain,
( op(e1,e1) = e4
| epred8_0
| epred2_0
| op(e4,e0) != e2 ),
inference(spm,[status(thm)],[c_0_565,c_0_566]) ).
cnf(c_0_570,plain,
( op(e4,e0) = unit
| e3 = unit
| e4 = unit
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_559]),c_0_61])]) ).
cnf(c_0_571,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e4,e0) != e2 ),
inference(spm,[status(thm)],[c_0_568,c_0_497]) ).
cnf(c_0_572,plain,
( op(e1,e1) = e4
| e4 = unit
| e3 = unit
| epred8_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_570]),c_0_559]) ).
cnf(c_0_573,plain,
( op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| e4 = unit
| e3 = unit
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_570]),c_0_559]) ).
cnf(c_0_574,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| e3 = unit
| e4 = unit
| epred8_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_573]),c_0_42]) ).
cnf(c_0_575,plain,
( op(e2,e2) = unit
| op(e2,e3) = unit
| op(e3,e1) = e4
| e3 = unit
| e2 = unit
| e1 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_297,c_0_392]) ).
cnf(c_0_576,plain,
( op(e1,e3) = e2
| e4 = unit
| e3 = unit
| epred8_0
| epred2_0
| op(e2,e2) != e2 ),
inference(spm,[status(thm)],[c_0_143,c_0_574]) ).
cnf(c_0_577,plain,
( op(unit,unit) = unit
| e3 = unit
| e4 = unit
| epred2_0 ),
inference(spm,[status(thm)],[c_0_83,c_0_559]) ).
cnf(c_0_578,plain,
( op(e3,e1) = e4
| op(e2,e3) = unit
| e4 = unit
| e1 = unit
| e2 = unit
| e3 = unit
| op(e4,e2) != unit ),
inference(spm,[status(thm)],[c_0_425,c_0_575]) ).
cnf(c_0_579,plain,
( op(op(e1,e3),e3) = e1
| e3 = unit
| e4 = unit
| epred8_0
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_559]),c_0_120]),c_0_36])]) ).
cnf(c_0_580,plain,
( op(e1,e3) = unit
| e3 = unit
| e4 = unit
| epred8_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_559]),c_0_577]) ).
cnf(c_0_581,plain,
( op(e2,e3) = unit
| op(e3,e1) = e4
| e3 = unit
| e2 = unit
| e1 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_578,c_0_435]) ).
cnf(c_0_582,plain,
( e4 = unit
| e3 = unit
| epred8_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_580]),c_0_89]),c_0_20]) ).
cnf(c_0_583,plain,
( op(e3,e1) = e4
| e4 = unit
| e1 = unit
| e2 = unit
| e3 = unit
| op(e3,e3) != unit ),
inference(spm,[status(thm)],[c_0_405,c_0_581]) ).
cnf(c_0_584,plain,
( op(e3,e3) = unit
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_543]),c_0_21]) ).
cnf(c_0_585,plain,
( e4 = unit
| epred8_0
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_582]),c_0_83])]) ).
cnf(c_0_586,plain,
( op(e2,e2) = e4
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| op(e3,e1) != e4 ),
inference(spm,[status(thm)],[c_0_340,c_0_393]) ).
cnf(c_0_587,plain,
( op(e3,e1) = e4
| e3 = unit
| e2 = unit
| e1 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_583,c_0_584]) ).
cnf(c_0_588,plain,
( epred8_0
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_585]),c_0_89])]) ).
cnf(c_0_589,plain,
( op(e2,e2) = e4
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(spm,[status(thm)],[c_0_586,c_0_587]) ).
cnf(c_0_590,plain,
( op(e2,e2) = e1
| epred8_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_192,c_0_588]) ).
cnf(c_0_591,plain,
( e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit
| epred1_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_590]),c_0_21]),c_0_529]) ).
cnf(c_0_592,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_591]),c_0_46])]) ).
cnf(c_0_593,plain,
( e3 = unit
| e4 = unit
| epred1_0
| ~ epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_592]),c_0_120])]) ).
cnf(c_0_594,plain,
( e4 = unit
| e3 = unit
| epred8_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_593,c_0_588]) ).
cnf(c_0_595,plain,
( e4 = unit
| epred8_0
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_594]),c_0_83])]) ).
cnf(c_0_596,plain,
( epred8_0
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_595]),c_0_89])]) ).
cnf(c_0_597,plain,
( op(e2,e2) = e0
| op(e0,e0) = e3
| epred8_0 ),
inference(spm,[status(thm)],[c_0_225,c_0_596]) ).
cnf(c_0_598,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_599,plain,
( op(e2,e2) = e0
| epred8_0
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_223,c_0_597]) ).
cnf(c_0_600,plain,
op(e0,e0) != op(e1,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_601,plain,
( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[c_0_598,c_0_360]) ).
cnf(c_0_602,plain,
( op(e2,e2) = unit
| e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_31]),c_0_89])]),c_0_529]) ).
cnf(c_0_603,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_604,plain,
op(e1,e0) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_605,plain,
( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e1,e0) != e3 ),
inference(spm,[status(thm)],[c_0_600,c_0_601]) ).
cnf(c_0_606,plain,
( e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_589,c_0_602]) ).
cnf(c_0_607,plain,
( op(e0,e1) = e4
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(sr,[status(thm)],[c_0_603,c_0_360]) ).
cnf(c_0_608,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_609,plain,
op(e1,e0) != e0,
inference(rw,[status(thm)],[c_0_604,c_0_69]) ).
cnf(c_0_610,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_605,c_0_119]) ).
cnf(c_0_611,plain,
( e4 = unit
| e3 = unit
| e2 = unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_606]),c_0_46])]) ).
cnf(c_0_612,plain,
( op(e0,e1) = e4
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e2) != e0 ),
inference(spm,[status(thm)],[c_0_173,c_0_607]) ).
cnf(c_0_613,plain,
( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[c_0_608,c_0_609]) ).
cnf(c_0_614,plain,
op(e0,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_615,plain,
( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e1,e3) = e3
| e3 = unit
| e4 = unit ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_611]),c_0_120]),c_0_178]),c_0_20]),c_0_53]) ).
cnf(c_0_616,plain,
( op(e0,e1) = e1
| op(e0,e1) = unit
| op(e0,e1) = e4
| e3 = unit
| e4 = unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_611]),c_0_178])]) ).
cnf(c_0_617,plain,
( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_281,c_0_613]) ).
cnf(c_0_618,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_619,plain,
( op(e1,e3) = e3
| op(e0,e4) = e3
| e4 = unit
| e3 = unit
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_614,c_0_615]) ).
cnf(c_0_620,plain,
( op(e0,e1) = e4
| op(e0,e1) = unit
| e4 = unit
| e3 = unit
| op(e2,e1) != e1 ),
inference(spm,[status(thm)],[c_0_278,c_0_616]) ).
cnf(c_0_621,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_622,plain,
op(e0,e4) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_623,plain,
op(e0,e4) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_624,plain,
op(e4,e1) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_625,plain,
( op(e1,e0) = unit
| op(e1,e0) = e3
| op(e1,e0) = e4
| e3 = unit
| e4 = unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_617,c_0_611]),c_0_120])]) ).
cnf(c_0_626,plain,
( op(e2,e4) = e4
| op(e0,e4) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_618,c_0_69]),c_0_23]),c_0_12]),c_0_64]),c_0_42]),c_0_21]) ).
cnf(c_0_627,plain,
( op(e0,e4) = e3
| op(e1,e3) = e3
| e3 = unit
| e4 = unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_619,c_0_611]),c_0_89])]) ).
cnf(c_0_628,plain,
( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_629,plain,
op(e0,e1) != op(e0,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_630,plain,
( op(e0,e1) = unit
| op(e0,e1) = e4
| e3 = unit
| e4 = unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_611]),c_0_36])]) ).
cnf(c_0_631,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[c_0_621,c_0_355]) ).
cnf(c_0_632,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_633,plain,
op(e0,e4) != e0,
inference(rw,[status(thm)],[c_0_622,c_0_69]) ).
cnf(c_0_634,plain,
op(e0,e4) != e2,
inference(rw,[status(thm)],[c_0_623,c_0_23]) ).
cnf(c_0_635,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_636,plain,
op(e4,e2) != e3,
inference(rw,[status(thm)],[c_0_624,c_0_16]) ).
cnf(c_0_637,plain,
( op(e1,e0) = e4
| op(e1,e0) = unit
| e4 = unit
| e3 = unit
| op(e1,e3) != e3 ),
inference(spm,[status(thm)],[c_0_379,c_0_625]) ).
cnf(c_0_638,plain,
( op(e1,e3) = e3
| op(e2,e4) = e4
| e4 = unit
| e3 = unit ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_626,c_0_627]),c_0_76]) ).
cnf(c_0_639,plain,
( op(e1,e1) = e4
| op(e1,e1) = e2
| op(e1,e1) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_628,c_0_169]),c_0_85]) ).
cnf(c_0_640,plain,
( op(e0,e1) = unit
| e4 = unit
| e3 = unit
| op(e0,e4) != e4 ),
inference(spm,[status(thm)],[c_0_629,c_0_630]) ).
cnf(c_0_641,plain,
( e3 = unit
| e4 = unit
| op(unit,unit) != e0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_611]),c_0_51]) ).
cnf(c_0_642,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e4) != e3 ),
inference(spm,[status(thm)],[c_0_95,c_0_631]) ).
cnf(c_0_643,plain,
( op(e0,e4) = e4
| op(e0,e4) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_632,c_0_633]),c_0_320]),c_0_634]) ).
cnf(c_0_644,plain,
op(e0,e2) != op(e0,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_645,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[c_0_635,c_0_636]) ).
cnf(c_0_646,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_647,plain,
( op(e2,e4) = e4
| op(e1,e0) = unit
| op(e1,e0) = e4
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_637,c_0_638]) ).
cnf(c_0_648,plain,
( op(e1,e1) = e4
| op(e1,e1) = e2
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_145,c_0_639]) ).
cnf(c_0_649,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_650,plain,
( op(e2,e4) = e4
| op(e0,e1) = unit
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_640,c_0_626]) ).
cnf(c_0_651,plain,
( op(e4,e0) = unit
| op(e4,e0) = e4
| e3 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_611]),c_0_36]),c_0_89]),c_0_26]),c_0_53]),c_0_641]) ).
cnf(c_0_652,plain,
( op(e0,e4) = e4
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
inference(spm,[status(thm)],[c_0_642,c_0_643]) ).
cnf(c_0_653,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e4) != e3 ),
inference(spm,[status(thm)],[c_0_644,c_0_645]) ).
cnf(c_0_654,plain,
( op(e1,e0) = unit
| op(e2,e4) = e4
| e4 = unit
| e3 = unit
| op(e1,e1) != e4 ),
inference(spm,[status(thm)],[c_0_646,c_0_647]) ).
cnf(c_0_655,plain,
( op(e1,e1) = unit
| op(e1,e1) = e4
| e3 = unit
| e4 = unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_648,c_0_611]),c_0_120])]) ).
cnf(c_0_656,plain,
( op(e2,e4) = e4
| e4 = unit
| e3 = unit
| op(e1,e1) != unit ),
inference(spm,[status(thm)],[c_0_649,c_0_650]) ).
cnf(c_0_657,plain,
( op(e4,e0) = unit
| e4 = unit
| e3 = unit
| op(e4,e2) != e4 ),
inference(spm,[status(thm)],[c_0_113,c_0_651]) ).
cnf(c_0_658,plain,
( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_659,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e2,e4) != e4 ),
inference(spm,[status(thm)],[c_0_375,c_0_652]) ).
cnf(c_0_660,plain,
( op(e0,e4) = e4
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 ),
inference(spm,[status(thm)],[c_0_653,c_0_643]) ).
cnf(c_0_661,plain,
( op(e2,e4) = e4
| op(e1,e0) = unit
| e3 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_654,c_0_655]),c_0_656]) ).
cnf(c_0_662,plain,
( op(e4,e0) = unit
| e3 = unit
| e4 = unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_657,c_0_611]),c_0_61])]) ).
cnf(c_0_663,plain,
op(e0,e3) != op(e0,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_664,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(sr,[status(thm)],[c_0_658,c_0_87]) ).
cnf(c_0_665,plain,
( op(e3,e3) = e0
| op(e1,e1) = e0
| op(e0,e2) != e0
| op(e0,e0) != e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_208]) ).
cnf(c_0_666,plain,
( op(e1,e0) = e3
| op(e3,e0) = e3
| e3 = unit
| e4 = unit ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_659,c_0_611]),c_0_51]),c_0_60])]),c_0_53]) ).
cnf(c_0_667,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e2,e4) != e4 ),
inference(spm,[status(thm)],[c_0_375,c_0_660]) ).
cnf(c_0_668,plain,
( op(e2,e4) = e4
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_661]),c_0_662]) ).
cnf(c_0_669,plain,
( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e4) != e3 ),
inference(spm,[status(thm)],[c_0_663,c_0_664]) ).
cnf(c_0_670,plain,
( e3 = unit
| e4 = unit
| op(e3,e3) != e3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_611]),c_0_46]) ).
cnf(c_0_671,plain,
( op(e3,e3) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0
| op(e0,e2) != e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_208]) ).
cnf(c_0_672,plain,
( op(e3,e3) = e0
| op(e0,e0) != e0
| op(e0,e2) != e0
| ~ epred1_0 ),
inference(sr,[status(thm)],[c_0_665,c_0_169]) ).
cnf(c_0_673,plain,
( op(e3,e1) = e0
| e3 = unit
| e4 = unit ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_611]),c_0_36]),c_0_178])]),c_0_26]) ).
cnf(c_0_674,plain,
( op(e3,e0) = e3
| e4 = unit
| e3 = unit
| op(e1,e2) != e3 ),
inference(spm,[status(thm)],[c_0_281,c_0_666]) ).
cnf(c_0_675,plain,
( op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_667,c_0_668]) ).
cnf(c_0_676,plain,
( op(e3,e0) = e3
| e4 = unit
| e3 = unit
| op(e1,e3) != e3 ),
inference(spm,[status(thm)],[c_0_379,c_0_666]) ).
cnf(c_0_677,plain,
( op(e1,e3) = e3
| op(e2,e3) = e3
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_669,c_0_627]),c_0_670]) ).
cnf(c_0_678,plain,
( op(e3,e3) = e0
| op(e0,e2) != e0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_671,c_0_169]),c_0_672]) ).
cnf(c_0_679,plain,
( e4 = unit
| e3 = unit
| op(e3,e3) != e0 ),
inference(spm,[status(thm)],[c_0_316,c_0_673]) ).
cnf(c_0_680,plain,
op(e1,e3) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_681,plain,
( op(e0,e1) = e1
| op(e0,e1) = unit
| op(e0,e1) = e4
| e3 = unit
| e4 = unit
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_50]),c_0_178])]) ).
cnf(c_0_682,plain,
op(e1,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_683,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e3,e0) = e3
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_674,c_0_675]) ).
cnf(c_0_684,plain,
( op(e2,e3) = e3
| op(e3,e0) = e3
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_676,c_0_677]) ).
cnf(c_0_685,plain,
( e3 = unit
| e4 = unit
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_611]),c_0_178])]),c_0_679]) ).
cnf(c_0_686,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_687,plain,
op(e1,e2) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_688,plain,
( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_689,plain,
op(e1,e3) != e0,
inference(rw,[status(thm)],[c_0_680,c_0_69]) ).
cnf(c_0_690,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_691,plain,
( op(e0,e1) = e4
| op(e0,e1) = unit
| e4 = unit
| e3 = unit
| epred5_0
| op(e2,e1) != e1 ),
inference(spm,[status(thm)],[c_0_278,c_0_681]) ).
cnf(c_0_692,plain,
( op(e1,e0) = e4
| op(e1,e0) = unit
| e4 = unit
| e3 = unit
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_682,c_0_625]) ).
cnf(c_0_693,plain,
( op(e3,e0) = e3
| op(e3,e2) = e3
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_683]),c_0_684]) ).
cnf(c_0_694,plain,
( e4 = unit
| e3 = unit
| epred8_0 ),
inference(spm,[status(thm)],[c_0_685,c_0_596]) ).
cnf(c_0_695,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[c_0_686,c_0_555]) ).
cnf(c_0_696,plain,
( e3 = unit
| e4 = unit
| op(e3,e1) != e1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_611]),c_0_36]) ).
cnf(c_0_697,plain,
( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_687,c_0_144]) ).
cnf(c_0_698,plain,
( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1 ),
inference(sr,[status(thm)],[c_0_688,c_0_689]) ).
cnf(c_0_699,plain,
( e3 = unit
| e4 = unit
| op(unit,unit) != e1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_611]),c_0_36]) ).
cnf(c_0_700,plain,
( op(unit,unit) = unit
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_83,c_0_611]) ).
cnf(c_0_701,plain,
( op(e2,e3) = e3
| op(e1,e0) = unit
| op(e1,e0) = e4
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_637,c_0_677]) ).
cnf(c_0_702,plain,
op(e0,e0) != op(e0,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_703,plain,
( op(e4,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[c_0_690,c_0_315]) ).
cnf(c_0_704,plain,
( op(e0,e1) = unit
| op(e0,e1) = e4
| e3 = unit
| e4 = unit
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_50]),c_0_36])]) ).
cnf(c_0_705,plain,
( op(e3,e2) = e3
| op(e1,e0) = unit
| op(e1,e0) = e4
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_692,c_0_693]) ).
cnf(c_0_706,plain,
( e3 = unit
| e4 = unit
| op(e3,e0) != e0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_611]),c_0_51]) ).
cnf(c_0_707,plain,
( e4 = unit
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_694]),c_0_83])]) ).
cnf(c_0_708,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_223,c_0_695]) ).
cnf(c_0_709,plain,
( op(e3,e3) = e1
| op(e0,e3) = e1
| e3 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_611]),c_0_178]),c_0_46]),c_0_36])]),c_0_26]),c_0_20]),c_0_696]) ).
cnf(c_0_710,plain,
( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 ),
inference(spm,[status(thm)],[c_0_697,c_0_698]) ).
cnf(c_0_711,plain,
( e4 = unit
| e3 = unit
| e1 != unit ),
inference(spm,[status(thm)],[c_0_699,c_0_700]) ).
cnf(c_0_712,plain,
( op(e1,e0) = unit
| op(e2,e3) = e3
| e4 = unit
| e3 = unit
| op(e1,e1) != e4 ),
inference(spm,[status(thm)],[c_0_646,c_0_701]) ).
cnf(c_0_713,plain,
( op(e4,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_702,c_0_703]) ).
cnf(c_0_714,plain,
( op(e0,e1) = unit
| e4 = unit
| e3 = unit
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_649,c_0_704]),c_0_40]) ).
cnf(c_0_715,plain,
( op(e1,e0) = unit
| op(e3,e2) = e3
| e4 = unit
| e3 = unit
| op(e1,e1) != e4 ),
inference(spm,[status(thm)],[c_0_646,c_0_705]) ).
cnf(c_0_716,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e1
| e4 = unit
| e3 = unit ),
inference(spm,[status(thm)],[c_0_706,c_0_322]) ).
cnf(c_0_717,plain,
( op(op(e0,e4),e4) = e0
| epred7_0
| op(op(e1,e0),e1) != e0
| op(e3,e0) != op(e0,e3)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_523]) ).
cnf(c_0_718,plain,
epred8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_707]),c_0_89])]) ).
cnf(c_0_719,plain,
( op(e3,e3) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| e4 = unit
| e3 = unit ),
inference(spm,[status(thm)],[c_0_708,c_0_709]) ).
cnf(c_0_720,plain,
( op(e1,e3) = unit
| op(e1,e3) = e3
| op(e1,e3) = e4
| e3 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_710,c_0_611]),c_0_120]),c_0_120]),c_0_120]),c_0_20]),c_0_21]),c_0_711]) ).
cnf(c_0_721,plain,
( op(e1,e1) = unit
| op(e2,e3) = e3
| op(e1,e0) = unit
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_712,c_0_655]) ).
cnf(c_0_722,plain,
( op(e1,e0) = e2
| op(e2,e0) = e2
| op(e4,e0) = e2
| e3 = unit
| e4 = unit
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_713,c_0_714]),c_0_50]) ).
cnf(c_0_723,plain,
( op(e1,e1) = unit
| op(e3,e2) = e3
| op(e1,e0) = unit
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_715,c_0_655]) ).
cnf(c_0_724,plain,
( op(e3,e0) = e3
| op(e3,e0) = e4
| e3 = unit
| e4 = unit
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_329,c_0_716]) ).
cnf(c_0_725,plain,
( op(e3,e3) = e1
| op(e3,e3) = e4
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_673]),c_0_26]),c_0_64]),c_0_670]) ).
cnf(c_0_726,plain,
( op(op(e0,e4),e4) = e0
| epred7_0
| op(e0,e3) != op(e3,e0)
| op(op(e1,e0),e1) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_717,c_0_718])]) ).
cnf(c_0_727,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e3,e3) = e1
| e3 = unit
| e4 = unit
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_281,c_0_719]) ).
cnf(c_0_728,plain,
( op(e1,e3) = e4
| op(e1,e3) = unit
| e4 = unit
| e3 = unit
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_376,c_0_720]) ).
cnf(c_0_729,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_730,plain,
( op(e2,e3) = e3
| op(e1,e1) = unit
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_721]),c_0_662]) ).
cnf(c_0_731,plain,
( op(e4,e0) = e2
| op(e2,e0) = e2
| e4 = unit
| e3 = unit
| epred5_0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_379,c_0_722]) ).
cnf(c_0_732,plain,
( op(e3,e2) = e3
| op(e1,e1) = unit
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_723]),c_0_662]) ).
cnf(c_0_733,plain,
( e3 = unit
| e4 = unit
| op(e1,e3) != e1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_687,c_0_611]),c_0_120]) ).
cnf(c_0_734,plain,
( op(e3,e3) = e4
| op(e3,e0) = e4
| op(e3,e0) = e3
| e4 = unit
| e3 = unit ),
inference(spm,[status(thm)],[c_0_724,c_0_725]) ).
cnf(c_0_735,plain,
( op(op(e0,e4),e4) = e0
| op(e3,e3) = e1
| e4 = unit
| e3 = unit
| epred7_0
| op(op(e1,e0),e1) != e0
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_726,c_0_709]) ).
cnf(c_0_736,plain,
( op(e3,e3) = e1
| op(e3,e0) = e1
| e4 = unit
| e3 = unit ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_727,c_0_611]),c_0_51]),c_0_120])]),c_0_26]) ).
cnf(c_0_737,plain,
( op(e1,e3) = unit
| op(e1,e3) = e4
| e3 = unit
| e4 = unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_728,c_0_611]),c_0_89])]) ).
cnf(c_0_738,plain,
( op(e2,e3) = e3
| e3 = unit
| e4 = unit
| op(e1,e3) != unit ),
inference(spm,[status(thm)],[c_0_729,c_0_730]) ).
cnf(c_0_739,plain,
( op(e2,e0) = e2
| op(e4,e0) = e2
| e3 = unit
| e4 = unit
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_731,c_0_517]),c_0_50]) ).
cnf(c_0_740,plain,
( op(e3,e2) = e3
| e3 = unit
| e4 = unit
| op(e1,e3) != unit ),
inference(spm,[status(thm)],[c_0_729,c_0_732]) ).
cnf(c_0_741,plain,
( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| e4 = unit
| e3 = unit ),
inference(spm,[status(thm)],[c_0_733,c_0_698]) ).
cnf(c_0_742,plain,
( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_743,plain,
( op(e3,e0) = e4
| op(e3,e3) = e4
| e3 = unit
| e4 = unit
| op(e3,e2) != e3 ),
inference(spm,[status(thm)],[c_0_342,c_0_734]) ).
cnf(c_0_744,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_745,plain,
( op(op(e0,e4),e4) = e0
| op(e3,e3) = e1
| e3 = unit
| e4 = unit
| epred7_0
| op(op(e1,e0),e1) != e0 ),
inference(spm,[status(thm)],[c_0_735,c_0_736]) ).
cnf(c_0_746,plain,
op(e2,e3) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_747,plain,
( op(e2,e3) = e3
| e3 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_737]),c_0_76]),c_0_738]) ).
cnf(c_0_748,plain,
( op(e4,e0) = e2
| e4 = unit
| e3 = unit
| epred5_0
| op(e2,e2) != e2 ),
inference(spm,[status(thm)],[c_0_233,c_0_739]) ).
cnf(c_0_749,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_750,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| e4 = unit
| e3 = unit
| op(e1,e3) != e3 ),
inference(spm,[status(thm)],[c_0_687,c_0_675]) ).
cnf(c_0_751,plain,
( op(e1,e3) = e3
| op(e1,e3) = e4
| op(e3,e2) = e3
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_740,c_0_741]),c_0_611]) ).
cnf(c_0_752,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_742,c_0_23]),c_0_44]),c_0_29]) ).
cnf(c_0_753,plain,
( op(e3,e3) = e4
| op(e3,e0) = e4
| e4 = unit
| e3 = unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_743,c_0_611]),c_0_46])]) ).
cnf(c_0_754,plain,
( e3 = unit
| e4 = unit
| op(e0,e3) != e0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_744,c_0_611]),c_0_178]) ).
cnf(c_0_755,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_756,plain,
( op(op(e0,e4),e4) = e0
| op(e3,e0) = e3
| op(e3,e3) = e1
| e4 = unit
| e3 = unit
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_745,c_0_666]),c_0_673]) ).
cnf(c_0_757,plain,
( e4 = unit
| e3 = unit
| op(e2,e4) != e3 ),
inference(spm,[status(thm)],[c_0_746,c_0_747]) ).
cnf(c_0_758,plain,
( op(e4,e0) = unit
| e3 = unit
| e4 = unit
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_748,c_0_50]),c_0_508]) ).
cnf(c_0_759,plain,
( e3 = unit
| e4 = unit
| epred5_0
| op(e0,e2) != unit ),
inference(spm,[status(thm)],[c_0_173,c_0_714]) ).
cnf(c_0_760,plain,
( op(e4,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(sr,[status(thm)],[c_0_749,c_0_81]) ).
cnf(c_0_761,plain,
( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e1,e3) = e3
| e3 = unit
| e4 = unit
| epred5_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_50]),c_0_120]),c_0_178]),c_0_20]),c_0_53]) ).
cnf(c_0_762,plain,
( op(e1,e3) = e4
| op(e2,e2) = e3
| op(e3,e2) = e3
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_750,c_0_751]) ).
cnf(c_0_763,plain,
( op(e3,e3) = e4
| op(e3,e2) = e3
| e3 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_752,c_0_753]),c_0_76]),c_0_670]) ).
cnf(c_0_764,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_765,plain,
( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| e4 = unit
| e3 = unit ),
inference(spm,[status(thm)],[c_0_754,c_0_755]) ).
cnf(c_0_766,plain,
( op(e3,e3) = e1
| op(e3,e0) = e3
| e3 = unit
| e4 = unit
| epred7_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_756,c_0_72]),c_0_23]),c_0_381]),c_0_757]) ).
cnf(c_0_767,plain,
( op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| e4 = unit
| e3 = unit
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_758]),c_0_50]) ).
cnf(c_0_768,plain,
( op(e4,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| e4 = unit
| e3 = unit
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_759,c_0_760]),c_0_50]) ).
cnf(c_0_769,plain,
( op(e1,e3) = e3
| op(e0,e4) = e3
| e4 = unit
| e3 = unit
| epred5_0
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_614,c_0_761]) ).
cnf(c_0_770,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_762]),c_0_763]) ).
cnf(c_0_771,plain,
( op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4
| e3 = unit
| e4 = unit
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_764,c_0_765]) ).
cnf(c_0_772,plain,
( op(e3,e3) = e1
| e3 = unit
| e4 = unit
| epred7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_736,c_0_766]),c_0_20]) ).
cnf(c_0_773,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| e3 = unit
| e4 = unit
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_767]),c_0_42]) ).
cnf(c_0_774,plain,
( op(e2,e2) = e2
| op(e4,e2) = e2
| e3 = unit
| e4 = unit
| epred5_0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_687,c_0_768]) ).
cnf(c_0_775,plain,
op(e1,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_776,plain,
( op(e1,e0) = e3
| op(e3,e0) = e3
| e3 = unit
| e4 = unit
| epred5_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_659,c_0_50]),c_0_51]),c_0_60])]),c_0_53]) ).
cnf(c_0_777,plain,
( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_326,c_0_601]) ).
cnf(c_0_778,plain,
( op(e0,e4) = e3
| op(e1,e3) = e3
| e3 = unit
| e4 = unit
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_769,c_0_50]),c_0_89])]) ).
cnf(c_0_779,plain,
( e3 = unit
| e4 = unit
| epred5_0
| op(e3,e3) != e3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_50]),c_0_46]) ).
cnf(c_0_780,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_781,plain,
( epred7_0
| op(op(e1,e0),e1) != e0
| op(op(e0,e4),e0) != e4
| op(e3,e0) != op(e0,e3)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_523]) ).
cnf(c_0_782,plain,
( op(e3,e2) = e3
| e3 = unit
| e4 = unit
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_387,c_0_770]) ).
cnf(c_0_783,plain,
( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| e4 = unit
| e3 = unit
| epred7_0 ),
inference(spm,[status(thm)],[c_0_771,c_0_772]) ).
cnf(c_0_784,plain,
( op(e1,e3) = e2
| e4 = unit
| e3 = unit
| epred5_0
| op(e2,e2) != e2 ),
inference(spm,[status(thm)],[c_0_143,c_0_773]) ).
cnf(c_0_785,plain,
( op(e4,e2) = e2
| op(e2,e2) = e2
| e4 = unit
| e3 = unit
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_774,c_0_517]),c_0_50]) ).
cnf(c_0_786,plain,
( op(e1,e3) = e2
| e4 = unit
| e3 = unit
| epred5_0
| op(e4,e2) != e2 ),
inference(spm,[status(thm)],[c_0_775,c_0_773]) ).
cnf(c_0_787,plain,
( op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3
| e4 = unit
| e3 = unit
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_605,c_0_776]),c_0_777]) ).
cnf(c_0_788,plain,
( op(e1,e3) = e3
| op(e2,e3) = e3
| e4 = unit
| e3 = unit
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_669,c_0_778]),c_0_779]) ).
cnf(c_0_789,plain,
( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e2) != e0 ),
inference(spm,[status(thm)],[c_0_221,c_0_780]) ).
cnf(c_0_790,plain,
( op(e2,e4) = e3
| epred7_0
| op(e0,e3) != op(e3,e0)
| op(op(e1,e0),e1) != e0
| op(e3,e0) != e4
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_781,c_0_72]) ).
cnf(c_0_791,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| e4 = unit
| e3 = unit
| epred7_0 ),
inference(spm,[status(thm)],[c_0_724,c_0_772]) ).
cnf(c_0_792,plain,
( op(e3,e2) = e3
| e4 = unit
| e3 = unit ),
inference(spm,[status(thm)],[c_0_782,c_0_747]) ).
cnf(c_0_793,plain,
( op(e0,e3) = e3
| op(e0,e3) = e4
| e3 = unit
| e4 = unit
| epred7_0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_112,c_0_783]) ).
cnf(c_0_794,plain,
( op(e1,e3) = e2
| e3 = unit
| e4 = unit
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_784,c_0_785]),c_0_786]) ).
cnf(c_0_795,plain,
( op(e0,e4) = e3
| op(e0,e3) = e3
| e3 = unit
| e4 = unit
| epred5_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_787,c_0_611]),c_0_178]),c_0_53]) ).
cnf(c_0_796,plain,
( op(e2,e3) = e3
| e4 = unit
| e3 = unit
| epred5_0 ),
inference(spm,[status(thm)],[c_0_517,c_0_788]) ).
cnf(c_0_797,plain,
( op(e0,e0) = e1
| op(e0,e0) = unit
| op(e0,e0) = e3
| op(e0,e0) = e4
| e3 = unit
| e4 = unit ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_789,c_0_611]),c_0_178])]) ).
cnf(c_0_798,plain,
( op(e2,e4) = e3
| epred7_0
| op(e0,e3) != op(e3,e0)
| op(op(e1,e0),e1) != e0
| op(e3,e0) != e4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_790,c_0_718])]) ).
cnf(c_0_799,plain,
( op(e3,e0) = e4
| e3 = unit
| e4 = unit
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_791]),c_0_792]) ).
cnf(c_0_800,plain,
( op(e0,e3) = e4
| op(e0,e3) = e3
| e4 = unit
| e3 = unit
| epred7_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_793,c_0_794]) ).
cnf(c_0_801,plain,
( op(e0,e4) = e3
| e4 = unit
| e3 = unit
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_614,c_0_795]),c_0_796]) ).
cnf(c_0_802,plain,
( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = unit
| e4 = unit
| e3 = unit
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_223,c_0_797]) ).
cnf(c_0_803,plain,
( e4 = unit
| e3 = unit
| epred7_0
| op(op(e1,e0),e1) != e0
| op(e0,e3) != e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_798,c_0_799]),c_0_757]) ).
cnf(c_0_804,plain,
( op(e0,e3) = e4
| e3 = unit
| e4 = unit
| epred7_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_663,c_0_800]),c_0_801]) ).
cnf(c_0_805,plain,
( op(e3,e3) = e1
| op(e0,e0) = unit
| op(e0,e0) = e3
| op(e0,e0) = e4
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_802,c_0_709]) ).
cnf(c_0_806,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_807,plain,
( e3 = unit
| e4 = unit
| epred7_0
| epred5_0
| op(op(e1,e0),e1) != e0 ),
inference(spm,[status(thm)],[c_0_803,c_0_804]) ).
cnf(c_0_808,plain,
( op(e0,e0) = e4
| op(e0,e0) = unit
| op(e3,e3) = e1
| e4 = unit
| e3 = unit
| op(e1,e0) != e3 ),
inference(spm,[status(thm)],[c_0_600,c_0_805]) ).
cnf(c_0_809,plain,
( op(e0,e0) = e4
| op(e0,e0) = unit
| op(e3,e3) = e1
| e4 = unit
| e3 = unit
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_326,c_0_805]) ).
cnf(c_0_810,plain,
( op(e0,e1) = e4
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_806,c_0_607]) ).
cnf(c_0_811,plain,
( op(e3,e0) = e3
| e4 = unit
| e3 = unit
| epred7_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_807,c_0_666]),c_0_673]) ).
cnf(c_0_812,plain,
( op(e3,e3) = e1
| op(e0,e0) = unit
| op(e0,e0) = e4
| e3 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_808,c_0_666]),c_0_809]) ).
cnf(c_0_813,plain,
( op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e4
| e4 = unit
| e3 = unit ),
inference(spm,[status(thm)],[c_0_810,c_0_673]) ).
cnf(c_0_814,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_815,plain,
( e4 = unit
| e3 = unit
| epred7_0
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_799,c_0_811]),c_0_76]) ).
cnf(c_0_816,plain,
( op(e0,e0) = unit
| op(e3,e3) = e1
| e4 = unit
| e3 = unit
| op(e0,e1) != e4 ),
inference(spm,[status(thm)],[c_0_702,c_0_812]) ).
cnf(c_0_817,plain,
( op(e0,e1) = e4
| op(e0,e1) = e2
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_630,c_0_813]),c_0_21]),c_0_711]) ).
cnf(c_0_818,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_814,c_0_16]),c_0_20]) ).
cnf(c_0_819,plain,
( op(e3,e3) = e2
| op(e1,e1) = e3
| op(e3,e3) = e0
| epred4_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_820,plain,
( e4 = unit
| epred7_0
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_815]),c_0_83])]) ).
cnf(c_0_821,plain,
op(e2,e4) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_822,plain,
( op(e0,e1) = unit
| op(e3,e3) = e1
| op(e0,e0) = unit
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_816,c_0_630]) ).
cnf(c_0_823,plain,
( op(e0,e1) = e4
| e3 = unit
| e4 = unit
| op(e1,e1) != e2 ),
inference(spm,[status(thm)],[c_0_649,c_0_817]) ).
cnf(c_0_824,plain,
( op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_662]),c_0_611]) ).
cnf(c_0_825,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e2
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_818]),c_0_19]) ).
cnf(c_0_826,plain,
( op(e3,e3) = e0
| epred4_0
| ~ epred5_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_819,c_0_85]),c_0_86]) ).
cnf(c_0_827,plain,
( epred7_0
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_820]),c_0_89])]) ).
cnf(c_0_828,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_829,plain,
op(e2,e4) != e2,
inference(rw,[status(thm)],[c_0_821,c_0_23]) ).
cnf(c_0_830,plain,
( op(e3,e3) = e1
| op(e0,e1) = unit
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_822]),c_0_662]) ).
cnf(c_0_831,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e0,e1) = e4
| e4 = unit
| e3 = unit ),
inference(spm,[status(thm)],[c_0_823,c_0_824]) ).
cnf(c_0_832,plain,
( op(e0,e1) = unit
| e4 = unit
| e3 = unit
| op(e1,e1) != e4 ),
inference(spm,[status(thm)],[c_0_649,c_0_630]) ).
cnf(c_0_833,plain,
( op(e1,e1) = unit
| op(e2,e1) = e2
| op(e2,e1) = e1
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_825,c_0_655]),c_0_21]),c_0_42]),c_0_696]) ).
cnf(c_0_834,plain,
( op(e0,e1) = e4
| e3 = unit
| e4 = unit
| op(e2,e1) != e2 ),
inference(spm,[status(thm)],[c_0_278,c_0_817]) ).
cnf(c_0_835,plain,
( op(e3,e3) = e0
| epred7_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_826,c_0_827]) ).
cnf(c_0_836,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(sr,[status(thm)],[c_0_828,c_0_829]) ).
cnf(c_0_837,plain,
( op(e3,e3) = e1
| e3 = unit
| e4 = unit
| op(e0,e2) != unit ),
inference(spm,[status(thm)],[c_0_173,c_0_830]) ).
cnf(c_0_838,plain,
( op(e3,e3) = e1
| op(e1,e2) = e2
| op(e1,e3) = e2
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_831,c_0_830]) ).
cnf(c_0_839,plain,
( op(e1,e1) = unit
| op(e0,e1) = unit
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_832,c_0_655]) ).
cnf(c_0_840,plain,
( op(e2,e1) = e1
| op(e0,e1) = e4
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_823,c_0_833]),c_0_611]),c_0_834]) ).
cnf(c_0_841,plain,
( e3 = unit
| e4 = unit
| epred7_0
| epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_725,c_0_835]),c_0_26]),c_0_64]) ).
cnf(c_0_842,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e4,e0) != e2 ),
inference(spm,[status(thm)],[c_0_49,c_0_836]) ).
cnf(c_0_843,plain,
( op(e4,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e3,e3) = e1
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_837,c_0_760]),c_0_611]) ).
cnf(c_0_844,plain,
( op(e1,e3) = e2
| op(e3,e3) = e1
| e4 = unit
| e3 = unit
| op(e2,e2) != e2 ),
inference(spm,[status(thm)],[c_0_143,c_0_838]) ).
cnf(c_0_845,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_846,plain,
( op(e2,e1) = e1
| op(e1,e1) = unit
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_839,c_0_840]) ).
cnf(c_0_847,plain,
( op(e2,e1) = e1
| op(e1,e1) = e1
| e3 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_818,c_0_840]),c_0_21]),c_0_696]) ).
cnf(c_0_848,plain,
( e4 = unit
| epred7_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_841]),c_0_83])]) ).
cnf(c_0_849,plain,
( op(e1,e1) = unit
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e4,e0) = e2
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_713,c_0_839]),c_0_611]) ).
cnf(c_0_850,plain,
( op(e1,e1) = unit
| e4 = unit
| e3 = unit
| op(e2,e1) != unit ),
inference(spm,[status(thm)],[c_0_278,c_0_839]) ).
cnf(c_0_851,plain,
( op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_842,c_0_662]),c_0_611]) ).
cnf(c_0_852,plain,
( op(e3,e3) = e1
| op(e2,e2) = e2
| op(e4,e2) = e2
| e3 = unit
| e4 = unit
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_687,c_0_843]) ).
cnf(c_0_853,plain,
( op(e3,e3) = e1
| op(e1,e3) = unit
| e3 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_844,c_0_611]),c_0_700]) ).
cnf(c_0_854,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[c_0_845,c_0_634]) ).
cnf(c_0_855,plain,
( op(e2,e1) = e1
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_846,c_0_847]),c_0_711]) ).
cnf(c_0_856,plain,
( epred7_0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_848]),c_0_89])]) ).
cnf(c_0_857,plain,
( op(e4,e0) = e2
| op(e2,e0) = e2
| op(e1,e1) = unit
| e3 = unit
| e4 = unit
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_379,c_0_849]) ).
cnf(c_0_858,plain,
( op(e3,e3) = e1
| e3 = unit
| e4 = unit
| op(e1,e1) != unit ),
inference(spm,[status(thm)],[c_0_649,c_0_830]) ).
cnf(c_0_859,plain,
op(e1,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_860,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = unit
| e3 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_850,c_0_851]),c_0_611]) ).
cnf(c_0_861,plain,
( op(e4,e2) = e2
| op(e2,e2) = e2
| op(e3,e3) = e1
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_852,c_0_853]),c_0_611]) ).
cnf(c_0_862,plain,
( op(e1,e3) = e2
| op(e3,e3) = e1
| e4 = unit
| e3 = unit
| op(e4,e2) != e2 ),
inference(spm,[status(thm)],[c_0_775,c_0_838]) ).
cnf(c_0_863,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e4,e0) != e2 ),
inference(spm,[status(thm)],[c_0_565,c_0_854]) ).
cnf(c_0_864,plain,
( e3 = unit
| e4 = unit
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_545,c_0_855]) ).
cnf(c_0_865,plain,
( op(e2,e2) = e1
| epred7_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_127,c_0_856]) ).
cnf(c_0_866,plain,
( op(e3,e3) = e1
| op(e2,e0) = e2
| op(e4,e0) = e2
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_857,c_0_853]),c_0_611]),c_0_858]) ).
cnf(c_0_867,plain,
( op(e2,e2) = e2
| op(e2,e3) = e2
| e4 = unit
| e3 = unit
| op(e2,e1) != unit ),
inference(spm,[status(thm)],[c_0_859,c_0_860]) ).
cnf(c_0_868,plain,
( op(e3,e3) = e1
| op(e1,e3) = e2
| e3 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_844,c_0_861]),c_0_862]) ).
cnf(c_0_869,plain,
( op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_863,c_0_662]),c_0_611]) ).
cnf(c_0_870,plain,
( op(e1,e1) = e4
| op(e1,e1) = e2
| op(e2,e1) != e1 ),
inference(spm,[status(thm)],[c_0_859,c_0_639]) ).
cnf(c_0_871,plain,
( e4 = unit
| e3 = unit
| epred7_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_864,c_0_865]) ).
cnf(c_0_872,plain,
( op(e4,e0) = e2
| op(e3,e3) = e1
| e3 = unit
| e4 = unit
| op(e2,e2) != e2 ),
inference(spm,[status(thm)],[c_0_233,c_0_866]) ).
cnf(c_0_873,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| e3 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_867,c_0_851]),c_0_611]) ).
cnf(c_0_874,plain,
( op(e3,e3) = e1
| e4 = unit
| e3 = unit
| op(e2,e3) != e2 ),
inference(spm,[status(thm)],[c_0_376,c_0_868]) ).
cnf(c_0_875,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| e3 = unit
| e4 = unit
| op(e1,e1) != e2 ),
inference(spm,[status(thm)],[c_0_649,c_0_869]) ).
cnf(c_0_876,plain,
( op(e1,e1) = e2
| op(e1,e1) = e4
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_870,c_0_855]) ).
cnf(c_0_877,plain,
( e4 = unit
| epred7_0
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_871]),c_0_83])]) ).
cnf(c_0_878,plain,
( op(e3,e3) = e1
| op(e4,e0) = e2
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_872,c_0_873]),c_0_874]) ).
cnf(c_0_879,plain,
op(e0,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_880,plain,
( op(e1,e1) = e4
| op(e0,e2) = e2
| op(e0,e3) = e2
| e4 = unit
| e3 = unit ),
inference(spm,[status(thm)],[c_0_875,c_0_876]) ).
cnf(c_0_881,plain,
( epred7_0
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_877]),c_0_89])]) ).
cnf(c_0_882,plain,
( op(e4,e0) = e2
| op(e3,e0) = e4
| op(e3,e0) = e3
| e4 = unit
| e3 = unit ),
inference(spm,[status(thm)],[c_0_724,c_0_878]) ).
cnf(c_0_883,plain,
( e3 = unit
| e4 = unit
| op(e4,e0) != e0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_611]),c_0_51]) ).
cnf(c_0_884,plain,
( op(e0,e3) = e2
| op(e1,e1) = e4
| e3 = unit
| e4 = unit
| op(e2,e2) != e2 ),
inference(spm,[status(thm)],[c_0_879,c_0_880]) ).
cnf(c_0_885,plain,
( op(e1,e1) = unit
| e4 = unit
| e3 = unit
| op(e1,e3) != e4 ),
inference(spm,[status(thm)],[c_0_729,c_0_655]) ).
cnf(c_0_886,plain,
( op(e1,e1) = e4
| op(e0,e0) = e2
| epred7_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_563,c_0_881]) ).
cnf(c_0_887,plain,
op(e3,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_888,plain,
( op(e3,e0) = e4
| op(e4,e0) = e2
| e3 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_882]),c_0_792]) ).
cnf(c_0_889,plain,
( op(e4,e0) = e4
| op(e4,e0) = e2
| e4 = unit
| e3 = unit ),
inference(spm,[status(thm)],[c_0_883,c_0_558]) ).
cnf(c_0_890,plain,
( op(e1,e1) = unit
| e4 = unit
| e3 = unit
| op(e0,e2) != unit ),
inference(spm,[status(thm)],[c_0_173,c_0_839]) ).
cnf(c_0_891,plain,
( op(e4,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_744,c_0_760]) ).
cnf(c_0_892,plain,
( op(e1,e1) = e4
| op(e0,e3) = unit
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_884,c_0_611]),c_0_700]) ).
cnf(c_0_893,plain,
( op(e1,e1) = e4
| e4 = unit
| e3 = unit
| op(e1,e2) != e2 ),
inference(spm,[status(thm)],[c_0_145,c_0_876]) ).
cnf(c_0_894,plain,
( op(e1,e3) = unit
| op(e1,e1) = unit
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_885,c_0_737]) ).
cnf(c_0_895,plain,
( op(e1,e1) = e4
| epred7_0
| epred2_0
| op(e4,e0) != e2 ),
inference(spm,[status(thm)],[c_0_565,c_0_886]) ).
cnf(c_0_896,plain,
( op(e4,e0) = e2
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_887,c_0_888]),c_0_889]) ).
cnf(c_0_897,plain,
( op(e4,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e1,e1) = unit
| e3 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_890,c_0_760]),c_0_611]) ).
cnf(c_0_898,plain,
( op(e1,e1) = e4
| op(e2,e2) = e2
| op(e4,e2) = e2
| e3 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_891,c_0_892]),c_0_611]),c_0_893]) ).
cnf(c_0_899,plain,
( op(e1,e3) = unit
| op(e0,e1) = e4
| e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_823,c_0_894]),c_0_611]) ).
cnf(c_0_900,plain,
( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_601]),c_0_20]) ).
cnf(c_0_901,plain,
( op(e1,e1) = e4
| e3 = unit
| e4 = unit
| epred7_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_895,c_0_896]) ).
cnf(c_0_902,plain,
( op(e1,e2) = e2
| op(e2,e2) = e2
| op(e4,e2) = e2
| e3 = unit
| e4 = unit ),
inference(spm,[status(thm)],[c_0_897,c_0_898]) ).
cnf(c_0_903,plain,
( op(e1,e3) = unit
| e3 = unit
| e4 = unit
| op(e1,e1) != e4 ),
inference(spm,[status(thm)],[c_0_649,c_0_899]) ).
cnf(c_0_904,plain,
( op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3
| op(e2,e1) != e1 ),
inference(spm,[status(thm)],[c_0_278,c_0_900]) ).
cnf(c_0_905,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| e3 = unit
| e4 = unit
| epred7_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_824,c_0_901]),c_0_42]) ).
cnf(c_0_906,plain,
( op(e4,e2) = e2
| op(e2,e2) = e2
| e4 = unit
| e3 = unit
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_687,c_0_902]) ).
cnf(c_0_907,plain,
( op(e4,e2) = e2
| op(e2,e2) = e2
| op(e1,e3) = unit
| e4 = unit
| e3 = unit ),
inference(spm,[status(thm)],[c_0_903,c_0_898]) ).
cnf(c_0_908,plain,
( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e3) = e1
| e3 = unit
| e4 = unit ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_904,c_0_611]),c_0_178]),c_0_178]),c_0_36])]),c_0_26]),c_0_53]) ).
cnf(c_0_909,plain,
( op(e1,e3) = e2
| e4 = unit
| e3 = unit
| epred7_0
| epred2_0
| op(e2,e2) != e2 ),
inference(spm,[status(thm)],[c_0_143,c_0_905]) ).
cnf(c_0_910,plain,
( op(e2,e2) = e2
| op(e4,e2) = e2
| e3 = unit
| e4 = unit ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_907]),c_0_611]) ).
cnf(c_0_911,plain,
( e3 = unit
| e4 = unit
| op(e4,e2) != e2 ),
inference(spm,[status(thm)],[c_0_113,c_0_896]) ).
cnf(c_0_912,plain,
( op(e0,e3) = e3
| op(e0,e4) = e3
| e4 = unit
| e3 = unit
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_764,c_0_908]) ).
cnf(c_0_913,plain,
( op(e1,e3) = e2
| e3 = unit
| e4 = unit
| epred7_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_909,c_0_910]),c_0_911]) ).
cnf(c_0_914,plain,
( op(e0,e4) = e3
| op(e0,e3) = e3
| e3 = unit
| e4 = unit
| epred7_0 ),
inference(spm,[status(thm)],[c_0_912,c_0_772]) ).
cnf(c_0_915,plain,
( op(e0,e3) = e4
| op(e0,e3) = e3
| e4 = unit
| e3 = unit
| epred7_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_793,c_0_913]) ).
cnf(c_0_916,plain,
( op(e0,e4) = e3
| e4 = unit
| e3 = unit
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_614,c_0_914]),c_0_747]) ).
cnf(c_0_917,plain,
( op(e0,e3) = e4
| e3 = unit
| e4 = unit
| epred7_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_663,c_0_915]),c_0_916]) ).
cnf(c_0_918,plain,
( e3 = unit
| e4 = unit
| epred7_0
| epred2_0
| op(op(e1,e0),e1) != e0 ),
inference(spm,[status(thm)],[c_0_803,c_0_917]) ).
cnf(c_0_919,plain,
( op(e3,e0) = e3
| e4 = unit
| e3 = unit
| epred7_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_918,c_0_666]),c_0_673]) ).
cnf(c_0_920,plain,
( e4 = unit
| e3 = unit
| epred7_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_799,c_0_919]),c_0_76]) ).
cnf(c_0_921,plain,
( e4 = unit
| epred7_0
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_920]),c_0_83])]) ).
cnf(c_0_922,plain,
( epred7_0
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_921]),c_0_89])]) ).
cnf(c_0_923,plain,
( op(op(e0,e1),e1) = e0
| op(e2,e0) != op(e0,e2)
| $false
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_518]) ).
cnf(c_0_924,plain,
( e4 = unit
| e3 = unit
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_593,c_0_922]),c_0_685]) ).
cnf(c_0_925,plain,
( op(op(e0,e1),e1) = e0
| op(e2,e0) != op(e0,e2)
| ~ epred7_0 ),
inference(cn,[status(thm)],[c_0_923]) ).
cnf(c_0_926,plain,
( e4 = unit
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_924]),c_0_83])]) ).
cnf(c_0_927,plain,
( e3 = unit
| e4 = unit
| epred5_0
| op(e0,e2) != op(e2,e0)
| ~ epred7_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_925,c_0_714]),c_0_36]),c_0_26]) ).
cnf(c_0_928,plain,
epred7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_926]),c_0_89])]) ).
cnf(c_0_929,plain,
( e4 = unit
| e3 = unit
| epred5_0
| op(e0,e2) != op(e2,e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_927,c_0_928])]) ).
cnf(c_0_930,plain,
( e3 = unit
| e4 = unit
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_929,c_0_611]),c_0_178]),c_0_51])]) ).
cnf(c_0_931,plain,
( e4 = unit
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_930]),c_0_83])]) ).
cnf(c_0_932,plain,
epred5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_931]),c_0_89])]) ).
cnf(c_0_933,plain,
( op(e3,e3) = e0
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_826,c_0_932])]) ).
cnf(c_0_934,plain,
( e3 = unit
| e4 = unit
| epred4_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_725,c_0_933]),c_0_26]),c_0_64]) ).
cnf(c_0_935,plain,
( e4 = unit
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_934]),c_0_83])]) ).
cnf(c_0_936,plain,
epred4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_935]),c_0_89])]) ).
cnf(c_0_937,plain,
( op(e2,e2) = e1
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_936])]) ).
cnf(c_0_938,plain,
( e4 = unit
| e3 = unit
| epred3_0 ),
inference(spm,[status(thm)],[c_0_864,c_0_937]) ).
cnf(c_0_939,plain,
( e4 = unit
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_938]),c_0_83])]) ).
cnf(c_0_940,plain,
epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_939]),c_0_89])]) ).
cnf(c_0_941,plain,
( op(e1,e1) = e4
| op(e0,e0) = e2
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_563,c_0_940])]) ).
cnf(c_0_942,plain,
( op(e1,e1) = e4
| epred2_0
| op(e4,e0) != e2 ),
inference(spm,[status(thm)],[c_0_565,c_0_941]) ).
cnf(c_0_943,plain,
( op(e1,e1) = e4
| e3 = unit
| e4 = unit
| epred2_0 ),
inference(spm,[status(thm)],[c_0_942,c_0_896]) ).
cnf(c_0_944,plain,
( op(op(e0,e1),e1) = e0
| op(e0,e2) != op(e2,e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_925,c_0_928])]) ).
cnf(c_0_945,plain,
( op(e0,e1) = unit
| e3 = unit
| e4 = unit
| epred2_0 ),
inference(spm,[status(thm)],[c_0_832,c_0_943]) ).
cnf(c_0_946,plain,
( e4 = unit
| e3 = unit
| epred2_0
| op(e0,e2) != op(e2,e0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_944,c_0_945]),c_0_36]),c_0_26]) ).
cnf(c_0_947,plain,
( e3 = unit
| e4 = unit
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_946,c_0_611]),c_0_178]),c_0_51])]) ).
cnf(c_0_948,plain,
( e4 = unit
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_947]),c_0_83])]) ).
cnf(c_0_949,plain,
epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_948]),c_0_89])]) ).
cnf(c_0_950,plain,
( e4 = unit
| e3 = unit ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_593,c_0_949])]),c_0_685]) ).
cnf(c_0_951,plain,
e4 = unit,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_950]),c_0_83])]) ).
cnf(c_0_952,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_951]),c_0_178]),c_0_951]),c_0_32]),c_0_53]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG060+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 03:50:42 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 1.88/2.08 % Version : CSE_E---1.5
% 1.88/2.08 % Problem : theBenchmark.p
% 1.88/2.08 % Proof found
% 1.88/2.08 % SZS status Theorem for theBenchmark.p
% 1.88/2.08 % SZS output start Proof
% See solution above
% 2.06/2.13 % Total time : 1.498000 s
% 2.06/2.13 % SZS output end Proof
% 2.06/2.13 % Total time : 1.505000 s
%------------------------------------------------------------------------------