TSTP Solution File: ALG170+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG170+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 : n009.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 16:05:49 EDT 2023
% Result : Theorem 0.52s 0.71s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 21
% Syntax : Number of formulae : 338 ( 144 unt; 10 typ; 0 def)
% Number of atoms : 1662 (1422 equ)
% Maximal formula atoms : 250 ( 5 avg)
% Number of connectives : 2089 ( 755 ~; 883 |; 443 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn; 0 !; 0 ?; 0 :)
% 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,
epred1_0: $o ).
tff(decl_29,type,
epred2_0: $o ).
tff(decl_30,type,
epred3_0: $o ).
tff(decl_31,type,
epred4_0: $o ).
fof(ax6,axiom,
( e0 = op(e4,op(e4,e4))
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),op(e4,e4))
& e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
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(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e4,e4),op(e4,e4)) = e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(ax2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,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',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(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(co1,conjecture,
~ ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 )
| ( op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != e3
& op(e4,e4) != e4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(c_0_7,plain,
e0 = op(e4,op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_8,plain,
e1 = op(e4,e4),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_9,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_10,plain,
op(e4,e1) = e0,
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
op(e2,e1) != op(e4,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_12,plain,
op(op(e0,e0),op(e0,e0)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_13,plain,
op(e0,e0) = e3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_8]),c_0_10]),c_0_8]),c_0_10]) ).
cnf(c_0_14,plain,
op(op(e4,e4),op(e4,e4)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_15,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_16,plain,
op(e2,e1) != e0,
inference(rw,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_17,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_18,plain,
op(e3,e3) = e0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13]) ).
cnf(c_0_19,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_20,plain,
op(e1,e1) = e4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_8]),c_0_8]) ).
cnf(c_0_21,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_22,plain,
( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e0) = e0 ),
inference(sr,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,plain,
op(e2,e3) != e0,
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
op(e4,e0) != op(e4,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_25,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_26,plain,
op(e1,e0) != e4,
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
op(e0,e0) != op(e1,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_28,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_29,plain,
op(e0,e1) = e2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_8]),c_0_10]),c_0_8]) ).
cnf(c_0_30,plain,
op(op(e2,e2),op(e2,e2)) = e2,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_31,plain,
( op(e2,e0) = e0
| op(e2,e2) = e0
| op(e2,e4) = e0 ),
inference(sr,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_32,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_33,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_34,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_35,plain,
op(e4,e0) != e0,
inference(rw,[status(thm)],[c_0_24,c_0_10]) ).
cnf(c_0_36,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_37,plain,
op(op(e1,e0),op(e0,e1)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_38,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_39,plain,
op(e1,e0) != e3,
inference(rw,[status(thm)],[c_0_27,c_0_13]) ).
cnf(c_0_40,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_41,plain,
op(e0,e3) != e2,
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_42,plain,
op(e0,e0) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_43,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_44,plain,
op(e1,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_45,plain,
( op(e2,e0) = e0
| op(e2,e4) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_13]),c_0_32]) ).
cnf(c_0_46,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_13]),c_0_34]),c_0_35]) ).
cnf(c_0_47,plain,
op(e3,e0) != e0,
inference(rw,[status(thm)],[c_0_36,c_0_18]) ).
cnf(c_0_48,plain,
op(e0,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_49,plain,
op(e0,e1) != op(e0,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_50,plain,
op(op(e1,e0),e2) = e0,
inference(rw,[status(thm)],[c_0_37,c_0_29]) ).
cnf(c_0_51,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(sr,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_52,plain,
( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_53,plain,
op(e0,e3) != e3,
inference(rw,[status(thm)],[c_0_42,c_0_13]) ).
cnf(c_0_54,plain,
op(e0,e3) != e0,
inference(rw,[status(thm)],[c_0_43,c_0_18]) ).
cnf(c_0_55,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_56,plain,
op(e0,e4) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_57,plain,
( op(e2,e4) = e0
| op(e1,e0) != e0 ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_58,plain,
op(op(e2,e0),op(e0,e2)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_59,plain,
( op(e1,e0) = e0
| op(e2,e0) = e0 ),
inference(sr,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_60,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_61,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_62,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_63,plain,
op(e0,e4) != e1,
inference(rw,[status(thm)],[c_0_48,c_0_8]) ).
cnf(c_0_64,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_65,plain,
e3 != e4,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_66,plain,
e2 != e4,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_67,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_68,plain,
op(e0,e4) != e2,
inference(rw,[status(thm)],[c_0_49,c_0_29]) ).
cnf(c_0_69,plain,
op(e0,e0) != op(e0,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_70,plain,
op(e1,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_71,plain,
op(e1,e1) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_72,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_73,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_74,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_75,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_76,plain,
op(e0,e2) != e2,
inference(rw,[status(thm)],[c_0_55,c_0_29]) ).
cnf(c_0_77,plain,
op(e0,e0) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_78,plain,
( op(e0,e4) != e0
| op(e1,e0) != e0 ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_79,plain,
( op(e0,op(e0,e2)) = e0
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_80,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_13]),c_0_29]),c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_81,plain,
( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_13]),c_0_29]),c_0_65]),c_0_66]) ).
cnf(c_0_82,plain,
e1 != e4,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_83,plain,
( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_67,c_0_63]),c_0_68]) ).
cnf(c_0_84,plain,
op(e0,e4) != e3,
inference(rw,[status(thm)],[c_0_69,c_0_13]) ).
cnf(c_0_85,plain,
op(op(e1,e4),op(e4,e1)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_86,plain,
( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_87,plain,
op(e1,e4) != e1,
inference(rw,[status(thm)],[c_0_70,c_0_8]) ).
cnf(c_0_88,plain,
op(e1,e4) != e4,
inference(rw,[status(thm)],[c_0_71,c_0_20]) ).
cnf(c_0_89,plain,
( op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_72]),c_0_13]),c_0_32]) ).
cnf(c_0_90,plain,
op(e1,e4) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_91,plain,
op(e0,e3) != op(e0,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_92,plain,
( op(e0,e3) = e4
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_93,plain,
( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_94,plain,
op(e0,e2) != e3,
inference(rw,[status(thm)],[c_0_77,c_0_13]) ).
cnf(c_0_95,plain,
( op(e0,op(e0,e2)) = e0
| op(e0,e4) != e0 ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_96,plain,
( op(e0,e4) = e4
| op(e0,e2) = e4
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_97,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_98,plain,
( op(e0,e4) = e0
| op(e0,e4) = e4 ),
inference(sr,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_99,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_100,plain,
op(e4,e1) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_101,plain,
op(op(e1,e4),e0) = e4,
inference(rw,[status(thm)],[c_0_85,c_0_10]) ).
cnf(c_0_102,plain,
( op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
cnf(c_0_103,plain,
op(e1,e2) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_104,plain,
( op(e1,e0) = e0
| op(e1,e2) = e0 ),
inference(spm,[status(thm)],[c_0_50,c_0_89]) ).
cnf(c_0_105,plain,
( op(e1,e4) != e0
| op(e1,e0) != e0 ),
inference(spm,[status(thm)],[c_0_90,c_0_57]) ).
cnf(c_0_106,plain,
( op(e0,e4) != e4
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_107,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e4 ),
inference(sr,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_108,plain,
( op(e0,e2) = e4
| op(e0,e4) = e4 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_29]),c_0_97]),c_0_98]) ).
cnf(c_0_109,plain,
op(op(e0,e2),op(e2,e0)) = e2,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_110,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_13]),c_0_29]),c_0_34]),c_0_97]) ).
fof(c_0_111,plain,
( epred2_0
<=> ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 ) ) ),
introduced(definition) ).
fof(c_0_112,plain,
( epred4_0
<=> ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 )
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 ) ) ),
introduced(definition) ).
cnf(c_0_113,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_114,plain,
op(e1,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_115,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_116,plain,
op(e4,e2) != e0,
inference(rw,[status(thm)],[c_0_100,c_0_10]) ).
cnf(c_0_117,plain,
op(e3,e2) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_118,plain,
op(op(e3,e0),op(e0,e3)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_119,plain,
( op(e1,e4) = e2
| op(e1,e4) = e0
| op(e3,e0) = e4 ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_120,plain,
op(e1,e4) != e0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_121,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_122,plain,
op(e0,e2) != op(e0,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_123,plain,
( op(e0,e2) = e0
| op(e0,e2) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).
cnf(c_0_124,plain,
( op(op(e0,e2),e0) = e2
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[c_0_109,c_0_59]) ).
cnf(c_0_125,plain,
( op(e0,e2) = e0
| op(e0,e4) = e0 ),
inference(sr,[status(thm)],[c_0_110,c_0_54]) ).
fof(c_0_126,negated_conjecture,
~ ~ ( ( epred2_0
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& ( epred4_0
| ( op(e4,e0) != e0
& op(e4,e1) != e1
& op(e4,e2) != e2
& op(e4,e3) != e3
& op(e4,e4) != e4 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_111]),c_0_112]) ).
fof(c_0_127,plain,
( epred1_0
<=> ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 ) ) ),
introduced(definition) ).
cnf(c_0_128,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_129,plain,
op(e2,e1) != e2,
inference(rw,[status(thm)],[c_0_113,c_0_29]) ).
cnf(c_0_130,plain,
op(e2,e1) != e4,
inference(rw,[status(thm)],[c_0_114,c_0_20]) ).
cnf(c_0_131,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_132,plain,
op(e3,e2) != e0,
inference(rw,[status(thm)],[c_0_117,c_0_18]) ).
cnf(c_0_133,plain,
op(op(e0,e1),op(e1,e0)) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_134,plain,
( op(op(e3,e0),e4) = e0
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_118,c_0_92]) ).
cnf(c_0_135,plain,
( op(e3,e0) = e4
| op(e1,e4) = e2 ),
inference(sr,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_136,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_137,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_138,plain,
op(e3,e0) != e3,
inference(rw,[status(thm)],[c_0_121,c_0_13]) ).
cnf(c_0_139,plain,
( op(e0,e2) = e4
| op(e0,e4) != e0 ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_140,plain,
( op(e0,e4) = e0
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_13]),c_0_32]) ).
cnf(c_0_141,plain,
op(e3,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_142,plain,
op(e4,e0) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_143,plain,
op(e0,e0) != op(e4,e0),
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_144,negated_conjecture,
( ( op(e0,e4) != e0
| epred2_0 )
& ( op(e1,e4) != e1
| epred2_0 )
& ( op(e2,e4) != e2
| epred2_0 )
& ( op(e3,e4) != e3
| epred2_0 )
& ( op(e4,e4) != e4
| epred2_0 )
& ( op(e4,e0) != e0
| epred4_0 )
& ( op(e4,e1) != e1
| epred4_0 )
& ( op(e4,e2) != e2
| epred4_0 )
& ( op(e4,e3) != e3
| epred4_0 )
& ( op(e4,e4) != e4
| epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_126])]) ).
fof(c_0_145,plain,
( epred1_0
=> ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 ) ) ),
inference(split_equiv,[status(thm)],[c_0_127]) ).
cnf(c_0_146,plain,
op(op(e1,e2),op(e2,e1)) = e2,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_147,plain,
( op(e2,e1) = e3
| op(e2,e1) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_128,c_0_16]),c_0_129]),c_0_130]) ).
cnf(c_0_148,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0 ),
inference(sr,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_149,plain,
op(e2,op(e1,e0)) = e1,
inference(rw,[status(thm)],[c_0_133,c_0_29]) ).
cnf(c_0_150,plain,
( op(e0,e2) = e4
| op(e1,e0) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_123]),c_0_13]),c_0_32]) ).
cnf(c_0_151,plain,
( op(e1,e4) = e2
| op(e0,e2) != e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_8]),c_0_136]) ).
cnf(c_0_152,plain,
( op(e3,e0) = e4
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(sr,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_153,plain,
( op(e1,e0) = e0
| op(e4,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_139]),c_0_140]) ).
cnf(c_0_154,plain,
( op(e1,e4) = e2
| op(e4,e0) != e4 ),
inference(spm,[status(thm)],[c_0_141,c_0_135]) ).
cnf(c_0_155,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_156,plain,
op(e4,e0) != e1,
inference(rw,[status(thm)],[c_0_142,c_0_8]) ).
cnf(c_0_157,plain,
op(e4,e0) != e3,
inference(rw,[status(thm)],[c_0_143,c_0_13]) ).
cnf(c_0_158,negated_conjecture,
( epred2_0
| op(e0,e4) != e0 ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
fof(c_0_159,plain,
( ( op(e0,e1) != e0
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e1,e1) != e1
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e2,e1) != e2
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e3,e1) != e3
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e4,e1) != e4
| op(e0,e0) != e0
| ~ epred1_0 )
& ( op(e0,e1) != e0
| op(e1,e0) != e1
| ~ epred1_0 )
& ( op(e1,e1) != e1
| op(e1,e0) != e1
| ~ epred1_0 )
& ( op(e2,e1) != e2
| op(e1,e0) != e1
| ~ epred1_0 )
& ( op(e3,e1) != e3
| op(e1,e0) != e1
| ~ epred1_0 )
& ( op(e4,e1) != e4
| op(e1,e0) != e1
| ~ epred1_0 )
& ( op(e0,e1) != e0
| op(e2,e0) != e2
| ~ epred1_0 )
& ( op(e1,e1) != e1
| op(e2,e0) != e2
| ~ epred1_0 )
& ( op(e2,e1) != e2
| op(e2,e0) != e2
| ~ epred1_0 )
& ( op(e3,e1) != e3
| op(e2,e0) != e2
| ~ epred1_0 )
& ( op(e4,e1) != e4
| op(e2,e0) != e2
| ~ epred1_0 )
& ( op(e0,e1) != e0
| op(e3,e0) != e3
| ~ epred1_0 )
& ( op(e1,e1) != e1
| op(e3,e0) != e3
| ~ epred1_0 )
& ( op(e2,e1) != e2
| op(e3,e0) != e3
| ~ epred1_0 )
& ( op(e3,e1) != e3
| op(e3,e0) != e3
| ~ epred1_0 )
& ( op(e4,e1) != e4
| op(e3,e0) != e3
| ~ epred1_0 )
& ( op(e0,e1) != e0
| op(e4,e0) != e4
| ~ epred1_0 )
& ( op(e1,e1) != e1
| op(e4,e0) != e4
| ~ epred1_0 )
& ( op(e2,e1) != e2
| op(e4,e0) != e4
| ~ epred1_0 )
& ( op(e3,e1) != e3
| op(e4,e0) != e4
| ~ epred1_0 )
& ( op(e4,e1) != e4
| op(e4,e0) != e4
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_145])]) ).
cnf(c_0_160,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_161,plain,
( op(op(e1,e2),e3) = e2
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_162,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_148]),c_0_13]),c_0_32]) ).
cnf(c_0_163,plain,
( op(e0,e2) = e4
| op(e2,e0) = e1 ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_164,plain,
( op(e2,e0) = e4
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_101,c_0_151]) ).
cnf(c_0_165,plain,
( op(e0,e2) != e4
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_73,c_0_92]) ).
cnf(c_0_166,plain,
( op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[c_0_152,c_0_47]) ).
cnf(c_0_167,plain,
( op(e4,e0) = e2
| op(e2,e0) = e1 ),
inference(spm,[status(thm)],[c_0_149,c_0_153]) ).
cnf(c_0_168,plain,
( op(e2,e0) = e4
| op(e4,e0) != e4 ),
inference(spm,[status(thm)],[c_0_101,c_0_154]) ).
cnf(c_0_169,plain,
( op(e4,e0) = e4
| op(e4,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_155,c_0_35]),c_0_156]),c_0_157]) ).
cnf(c_0_170,plain,
op(op(e4,e0),op(e0,e4)) = e0,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_171,negated_conjecture,
( op(e0,e4) = e4
| epred2_0 ),
inference(spm,[status(thm)],[c_0_158,c_0_98]) ).
cnf(c_0_172,plain,
( op(e3,e1) != e3
| op(e1,e0) != e1
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_159]) ).
cnf(c_0_173,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_29]),c_0_20]),c_0_10]),c_0_32]),c_0_65]),c_0_34]) ).
cnf(c_0_174,plain,
op(op(e2,e1),op(e1,e2)) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_175,plain,
( op(e0,e2) = e0
| op(e2,e1) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_41]) ).
cnf(c_0_176,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_177,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_178,plain,
op(e3,e4) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_179,plain,
( op(op(e3,e0),e1) = e0
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_118,c_0_80]) ).
cnf(c_0_180,plain,
op(e0,e2) != e1,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_82]),c_0_165]) ).
cnf(c_0_181,plain,
( op(e3,e0) = e1
| op(e3,e0) = e4
| op(e4,e0) != e2 ),
inference(spm,[status(thm)],[c_0_141,c_0_166]) ).
cnf(c_0_182,plain,
op(e4,e0) = e2,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_82]),c_0_169]) ).
cnf(c_0_183,negated_conjecture,
( op(op(e4,e0),e4) = e0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_184,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_185,plain,
( op(e2,e1) = e3
| op(e1,e0) != e1
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_186,plain,
( op(e1,op(e1,e2)) = e1
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_187,negated_conjecture,
( epred4_0
| op(e4,e3) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_188,plain,
( op(e4,e3) = e3
| op(e4,e2) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_10]),c_0_8]),c_0_157]),c_0_34]),c_0_61]) ).
cnf(c_0_189,plain,
( op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_8]),c_0_61]) ).
cnf(c_0_190,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_191,plain,
op(e3,e4) != e1,
inference(rw,[status(thm)],[c_0_178,c_0_8]) ).
cnf(c_0_192,plain,
op(op(e3,e0),e1) = e0,
inference(sr,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_193,plain,
( op(e3,e0) = e4
| op(e3,e0) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_182])]) ).
cnf(c_0_194,plain,
e0 != e4,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_195,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_196,plain,
op(e2,e0) != op(e2,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_197,negated_conjecture,
( op(e4,e0) = e4
| op(e2,e4) = e0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_183,c_0_169]) ).
cnf(c_0_198,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_199,plain,
op(e1,e3) != e4,
inference(rw,[status(thm)],[c_0_184,c_0_20]) ).
cnf(c_0_200,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_201,plain,
( op(e0,e2) = e0
| op(e1,e0) != e1
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_175]),c_0_61]) ).
cnf(c_0_202,plain,
( op(e0,e2) = e0
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_186,c_0_162]) ).
cnf(c_0_203,plain,
op(op(e0,e3),op(e3,e0)) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_204,plain,
op(op(e2,e4),op(e4,e2)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_205,negated_conjecture,
( op(e4,e2) = e3
| epred4_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_206,negated_conjecture,
( epred2_0
| op(e3,e4) != e3 ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_207,plain,
( op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3 ),
inference(sr,[status(thm)],[c_0_189,c_0_84]) ).
fof(c_0_208,plain,
( epred3_0
<=> ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 ) ) ),
introduced(definition) ).
cnf(c_0_209,plain,
( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_210,plain,
op(e3,e3) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_211,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_212,plain,
op(e3,e0) = e4,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_20]),c_0_194]) ).
cnf(c_0_213,plain,
op(op(e3,e1),op(e1,e3)) = e1,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_214,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_29]),c_0_20]),c_0_10]),c_0_62]),c_0_82]),c_0_136]) ).
cnf(c_0_215,plain,
( op(e1,e0) = e0
| op(e2,e4) != e0 ),
inference(spm,[status(thm)],[c_0_196,c_0_59]) ).
cnf(c_0_216,negated_conjecture,
( op(e2,e4) = e0
| epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_182]),c_0_66]) ).
cnf(c_0_217,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(sr,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_218,plain,
op(e1,e3) != e0,
inference(rw,[status(thm)],[c_0_200,c_0_18]) ).
cnf(c_0_219,plain,
( op(e0,e2) = e0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_220,plain,
( op(e1,op(e3,e0)) = e3
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_203,c_0_80]) ).
cnf(c_0_221,negated_conjecture,
( op(op(e2,e4),e3) = e4
| epred4_0 ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_222,negated_conjecture,
( op(e1,e4) = e3
| op(e2,e4) = e3
| epred2_0 ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
fof(c_0_223,plain,
( epred3_0
=> ( ( op(e0,e0) != e0
& op(e0,e1) != e1
& op(e0,e2) != e2
& op(e0,e3) != e3
& op(e0,e4) != e4 )
| ( op(e1,e0) != e0
& op(e1,e1) != e1
& op(e1,e2) != e2
& op(e1,e3) != e3
& op(e1,e4) != e4 ) ) ),
inference(split_equiv,[status(thm)],[c_0_208]) ).
cnf(c_0_224,plain,
( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e0 ),
inference(sr,[status(thm)],[c_0_209,c_0_191]) ).
cnf(c_0_225,plain,
op(e3,e4) != e0,
inference(rw,[status(thm)],[c_0_210,c_0_18]) ).
cnf(c_0_226,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_227,plain,
( op(e3,e2) = e1
| op(e3,e1) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_212]),c_0_82]),c_0_18]),c_0_136]) ).
cnf(c_0_228,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_229,plain,
( op(e1,op(e1,e3)) = e1
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_230,negated_conjecture,
( op(e1,e0) = e0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_231,plain,
op(e1,e3) != op(e1,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_232,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 ),
inference(sr,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_233,plain,
op(e0,e3) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_234,plain,
op(e0,e3) = e1,
inference(sr,[status(thm)],[c_0_80,c_0_180]) ).
cnf(c_0_235,plain,
( op(e1,e0) = e0
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_219]),c_0_13]),c_0_32]) ).
cnf(c_0_236,plain,
op(e1,op(e3,e0)) = e3,
inference(sr,[status(thm)],[c_0_220,c_0_180]) ).
fof(c_0_237,plain,
( epred4_0
=> ( epred3_0
| ( op(e2,e0) != e0
& op(e2,e1) != e1
& op(e2,e2) != e2
& op(e2,e3) != e3
& op(e2,e4) != e4 )
| ( op(e3,e0) != e0
& op(e3,e1) != e1
& op(e3,e2) != e2
& op(e3,e3) != e3
& op(e3,e4) != e4 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_112]),c_0_208]) ).
cnf(c_0_238,plain,
op(op(e0,e4),op(e4,e0)) = e4,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_239,negated_conjecture,
( op(e1,e4) = e3
| epred4_0
| epred2_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_18]),c_0_194]) ).
fof(c_0_240,plain,
( ( op(e1,e0) != e0
| op(e0,e0) != e0
| ~ epred3_0 )
& ( op(e1,e1) != e1
| op(e0,e0) != e0
| ~ epred3_0 )
& ( op(e1,e2) != e2
| op(e0,e0) != e0
| ~ epred3_0 )
& ( op(e1,e3) != e3
| op(e0,e0) != e0
| ~ epred3_0 )
& ( op(e1,e4) != e4
| op(e0,e0) != e0
| ~ epred3_0 )
& ( op(e1,e0) != e0
| op(e0,e1) != e1
| ~ epred3_0 )
& ( op(e1,e1) != e1
| op(e0,e1) != e1
| ~ epred3_0 )
& ( op(e1,e2) != e2
| op(e0,e1) != e1
| ~ epred3_0 )
& ( op(e1,e3) != e3
| op(e0,e1) != e1
| ~ epred3_0 )
& ( op(e1,e4) != e4
| op(e0,e1) != e1
| ~ epred3_0 )
& ( op(e1,e0) != e0
| op(e0,e2) != e2
| ~ epred3_0 )
& ( op(e1,e1) != e1
| op(e0,e2) != e2
| ~ epred3_0 )
& ( op(e1,e2) != e2
| op(e0,e2) != e2
| ~ epred3_0 )
& ( op(e1,e3) != e3
| op(e0,e2) != e2
| ~ epred3_0 )
& ( op(e1,e4) != e4
| op(e0,e2) != e2
| ~ epred3_0 )
& ( op(e1,e0) != e0
| op(e0,e3) != e3
| ~ epred3_0 )
& ( op(e1,e1) != e1
| op(e0,e3) != e3
| ~ epred3_0 )
& ( op(e1,e2) != e2
| op(e0,e3) != e3
| ~ epred3_0 )
& ( op(e1,e3) != e3
| op(e0,e3) != e3
| ~ epred3_0 )
& ( op(e1,e4) != e4
| op(e0,e3) != e3
| ~ epred3_0 )
& ( op(e1,e0) != e0
| op(e0,e4) != e4
| ~ epred3_0 )
& ( op(e1,e1) != e1
| op(e0,e4) != e4
| ~ epred3_0 )
& ( op(e1,e2) != e2
| op(e0,e4) != e4
| ~ epred3_0 )
& ( op(e1,e3) != e3
| op(e0,e4) != e4
| ~ epred3_0 )
& ( op(e1,e4) != e4
| op(e0,e4) != e4
| ~ epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_223])]) ).
cnf(c_0_241,plain,
op(e1,e4) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_242,plain,
( op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
inference(sr,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_243,plain,
op(e3,e0) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_244,plain,
( op(e3,e1) = e1
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_245,plain,
( op(e1,op(e1,e3)) = e1
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_246,negated_conjecture,
( op(e2,e0) = e1
| epred2_0 ),
inference(spm,[status(thm)],[c_0_149,c_0_230]) ).
cnf(c_0_247,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e4) != e3 ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_248,negated_conjecture,
( op(e1,e4) = e3
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_216]),c_0_34]) ).
cnf(c_0_249,plain,
op(e1,e3) != e1,
inference(rw,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_250,plain,
( op(e2,e0) = e1
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_149,c_0_235]) ).
cnf(c_0_251,plain,
op(e1,e4) = e3,
inference(rw,[status(thm)],[c_0_236,c_0_212]) ).
cnf(c_0_252,plain,
( op(e0,e4) = e4
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_219]),c_0_194]) ).
fof(c_0_253,plain,
( ( op(e3,e0) != e0
| op(e2,e0) != e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e1) != e1
| op(e2,e0) != e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e2
| op(e2,e0) != e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) != e3
| op(e2,e0) != e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e4) != e4
| op(e2,e0) != e0
| epred3_0
| ~ epred4_0 )
& ( op(e3,e0) != e0
| op(e2,e1) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e1) != e1
| op(e2,e1) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e2
| op(e2,e1) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) != e3
| op(e2,e1) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e4) != e4
| op(e2,e1) != e1
| epred3_0
| ~ epred4_0 )
& ( op(e3,e0) != e0
| op(e2,e2) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e1) != e1
| op(e2,e2) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e2
| op(e2,e2) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) != e3
| op(e2,e2) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e4) != e4
| op(e2,e2) != e2
| epred3_0
| ~ epred4_0 )
& ( op(e3,e0) != e0
| op(e2,e3) != e3
| epred3_0
| ~ epred4_0 )
& ( op(e3,e1) != e1
| op(e2,e3) != e3
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e2
| op(e2,e3) != e3
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) != e3
| op(e2,e3) != e3
| epred3_0
| ~ epred4_0 )
& ( op(e3,e4) != e4
| op(e2,e3) != e3
| epred3_0
| ~ epred4_0 )
& ( op(e3,e0) != e0
| op(e2,e4) != e4
| epred3_0
| ~ epred4_0 )
& ( op(e3,e1) != e1
| op(e2,e4) != e4
| epred3_0
| ~ epred4_0 )
& ( op(e3,e2) != e2
| op(e2,e4) != e4
| epred3_0
| ~ epred4_0 )
& ( op(e3,e3) != e3
| op(e2,e4) != e4
| epred3_0
| ~ epred4_0 )
& ( op(e3,e4) != e4
| op(e2,e4) != e4
| epred3_0
| ~ epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_237])]) ).
cnf(c_0_254,negated_conjecture,
( op(e4,op(e4,e0)) = e4
| epred2_0 ),
inference(spm,[status(thm)],[c_0_238,c_0_171]) ).
cnf(c_0_255,negated_conjecture,
( op(e3,e0) = e4
| epred4_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_101,c_0_239]) ).
cnf(c_0_256,plain,
( op(e1,e0) != e0
| op(e0,e4) != e4
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_240]) ).
cnf(c_0_257,plain,
( op(e3,e4) = e2
| op(e3,e4) = e4
| op(e1,e4) != e3 ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_258,plain,
op(e3,e4) != e4,
inference(rw,[status(thm)],[c_0_243,c_0_212]) ).
cnf(c_0_259,plain,
( op(e2,e1) = e3
| op(e1,e2) != e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_244]),c_0_61]) ).
cnf(c_0_260,negated_conjecture,
( op(e1,op(e1,e3)) = e1
| epred2_0 ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_261,negated_conjecture,
( op(e1,e3) = e2
| epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_249]) ).
cnf(c_0_262,plain,
( op(e1,op(e1,e3)) = e1
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_245,c_0_250]) ).
cnf(c_0_263,plain,
op(e1,e3) = e2,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_251])]),c_0_249]) ).
cnf(c_0_264,plain,
( op(e4,op(e4,e0)) = e4
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_238,c_0_252]) ).
cnf(c_0_265,plain,
op(e4,e1) != op(e4,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_266,plain,
op(e4,e3) != op(e4,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_267,plain,
( epred3_0
| op(e3,e1) != e1
| op(e2,e2) != e2
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_253]) ).
cnf(c_0_268,negated_conjecture,
( op(e4,e0) = e4
| op(e4,e2) = e4
| epred2_0 ),
inference(spm,[status(thm)],[c_0_254,c_0_169]) ).
cnf(c_0_269,negated_conjecture,
( epred4_0
| epred2_0
| op(e4,e0) != e4 ),
inference(spm,[status(thm)],[c_0_141,c_0_255]) ).
cnf(c_0_270,plain,
( op(e0,e4) = e0
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_140]),c_0_98]) ).
cnf(c_0_271,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_272,plain,
op(e4,e0) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_273,plain,
op(e1,e2) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_274,plain,
op(e3,e2) != op(e3,e4),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_275,plain,
op(e3,e4) = e2,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_251])]),c_0_258]) ).
cnf(c_0_276,plain,
( op(e3,op(e1,e2)) = e1
| op(e1,e2) != e1 ),
inference(spm,[status(thm)],[c_0_174,c_0_259]) ).
cnf(c_0_277,negated_conjecture,
( op(e1,e2) = e1
| epred2_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_278,plain,
( op(e1,e2) = e1
| ~ epred1_0 ),
inference(rw,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_279,plain,
( op(e4,e2) = e4
| ~ epred1_0 ),
inference(rw,[status(thm)],[c_0_264,c_0_182]) ).
cnf(c_0_280,plain,
( op(e0,e2) = e4
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_150]),c_0_108]) ).
cnf(c_0_281,plain,
( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_282,plain,
op(e4,e3) != e0,
inference(rw,[status(thm)],[c_0_265,c_0_10]) ).
cnf(c_0_283,plain,
op(e4,e3) != e1,
inference(rw,[status(thm)],[c_0_266,c_0_8]) ).
fof(c_0_284,plain,
( epred2_0
=> ( epred1_0
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_111]),c_0_127]) ).
cnf(c_0_285,plain,
( op(e2,e1) = e1
| epred3_0
| op(e2,e2) != e2
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_267,c_0_214]) ).
cnf(c_0_286,negated_conjecture,
( epred4_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_268]),c_0_65]),c_0_269]) ).
cnf(c_0_287,negated_conjecture,
( epred2_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_158,c_0_270]) ).
cnf(c_0_288,plain,
( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2 ),
inference(sr,[status(thm)],[c_0_271,c_0_76]) ).
cnf(c_0_289,plain,
op(e4,e2) != e2,
inference(rw,[status(thm)],[c_0_272,c_0_182]) ).
cnf(c_0_290,plain,
op(e1,e2) != e2,
inference(rw,[status(thm)],[c_0_273,c_0_263]) ).
cnf(c_0_291,plain,
op(e3,e2) != e2,
inference(rw,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_292,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_293,negated_conjecture,
( op(e3,e1) = e1
| epred2_0 ),
inference(spm,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_294,plain,
( op(e3,e1) = e1
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_276,c_0_278]) ).
cnf(c_0_295,negated_conjecture,
( epred4_0
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_279]),c_0_65]) ).
cnf(c_0_296,plain,
( ~ epred3_0
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_219]),c_0_194]) ).
cnf(c_0_297,plain,
( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_281,c_0_282]),c_0_283]) ).
cnf(c_0_298,plain,
op(op(e4,e3),op(e3,e4)) = e3,
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_299,plain,
op(e4,e0) != op(e4,e3),
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_300,plain,
( ( op(e0,e3) != e0
| op(e0,e2) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e1,e3) != e1
| op(e0,e2) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e2,e3) != e2
| op(e0,e2) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e3,e3) != e3
| op(e0,e2) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e4,e3) != e4
| op(e0,e2) != e0
| epred1_0
| ~ epred2_0 )
& ( op(e0,e3) != e0
| op(e1,e2) != e1
| epred1_0
| ~ epred2_0 )
& ( op(e1,e3) != e1
| op(e1,e2) != e1
| epred1_0
| ~ epred2_0 )
& ( op(e2,e3) != e2
| op(e1,e2) != e1
| epred1_0
| ~ epred2_0 )
& ( op(e3,e3) != e3
| op(e1,e2) != e1
| epred1_0
| ~ epred2_0 )
& ( op(e4,e3) != e4
| op(e1,e2) != e1
| epred1_0
| ~ epred2_0 )
& ( op(e0,e3) != e0
| op(e2,e2) != e2
| epred1_0
| ~ epred2_0 )
& ( op(e1,e3) != e1
| op(e2,e2) != e2
| epred1_0
| ~ epred2_0 )
& ( op(e2,e3) != e2
| op(e2,e2) != e2
| epred1_0
| ~ epred2_0 )
& ( op(e3,e3) != e3
| op(e2,e2) != e2
| epred1_0
| ~ epred2_0 )
& ( op(e4,e3) != e4
| op(e2,e2) != e2
| epred1_0
| ~ epred2_0 )
& ( op(e0,e3) != e0
| op(e3,e2) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e1,e3) != e1
| op(e3,e2) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e2,e3) != e2
| op(e3,e2) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e3,e3) != e3
| op(e3,e2) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e4,e3) != e4
| op(e3,e2) != e3
| epred1_0
| ~ epred2_0 )
& ( op(e0,e3) != e0
| op(e4,e2) != e4
| epred1_0
| ~ epred2_0 )
& ( op(e1,e3) != e1
| op(e4,e2) != e4
| epred1_0
| ~ epred2_0 )
& ( op(e2,e3) != e2
| op(e4,e2) != e4
| epred1_0
| ~ epred2_0 )
& ( op(e3,e3) != e3
| op(e4,e2) != e4
| epred1_0
| ~ epred2_0 )
& ( op(e4,e3) != e4
| op(e4,e2) != e4
| epred1_0
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_284])]) ).
cnf(c_0_301,plain,
( op(e2,e1) = e1
| epred2_0
| op(e2,e2) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_287]) ).
cnf(c_0_302,plain,
op(e2,e2) = e2,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_288,c_0_289]),c_0_290]),c_0_291]) ).
cnf(c_0_303,negated_conjecture,
( epred2_0
| op(e2,e1) != e1 ),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_304,plain,
( op(e2,e2) != e2
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_294]),c_0_295]),c_0_296]) ).
cnf(c_0_305,plain,
( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_306,negated_conjecture,
( op(e4,e3) = e4
| op(e4,e3) = e2
| epred4_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_297]) ).
cnf(c_0_307,plain,
( op(e3,op(e3,e4)) = e3
| op(e4,e3) = e4
| op(e4,e3) = e2 ),
inference(spm,[status(thm)],[c_0_298,c_0_297]) ).
cnf(c_0_308,plain,
op(e4,e3) != e2,
inference(rw,[status(thm)],[c_0_299,c_0_182]) ).
cnf(c_0_309,plain,
( epred1_0
| op(e4,e3) != e4
| op(e2,e2) != e2
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_300]) ).
cnf(c_0_310,plain,
epred2_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_302])]),c_0_303]) ).
cnf(c_0_311,plain,
~ epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_304,c_0_302])]) ).
cnf(c_0_312,plain,
op(e0,e2) != op(e4,e2),
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_313,plain,
( op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e0) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_10]),c_0_8]),c_0_194]),c_0_82]) ).
cnf(c_0_314,negated_conjecture,
( op(e4,e3) = e4
| epred4_0
| op(e4,e0) != e2 ),
inference(spm,[status(thm)],[c_0_299,c_0_306]) ).
cnf(c_0_315,plain,
( op(e4,e3) = e4
| op(e3,e2) = e3 ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_307,c_0_308]),c_0_275]) ).
cnf(c_0_316,plain,
op(e4,e3) != e4,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_302])]),c_0_310])]),c_0_311]) ).
cnf(c_0_317,plain,
( op(e0,e4) = e4
| op(e4,e2) != e4 ),
inference(spm,[status(thm)],[c_0_312,c_0_108]) ).
cnf(c_0_318,plain,
( op(e4,e3) = e4
| op(e4,e2) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_182]),c_0_66]) ).
cnf(c_0_319,negated_conjecture,
( op(e4,e3) = e4
| epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_182])]) ).
cnf(c_0_320,plain,
op(e3,e2) = e3,
inference(sr,[status(thm)],[c_0_315,c_0_316]) ).
cnf(c_0_321,plain,
( op(e4,e2) != e4
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_317]),c_0_194]) ).
cnf(c_0_322,plain,
op(e4,e2) = e4,
inference(sr,[status(thm)],[c_0_318,c_0_316]) ).
cnf(c_0_323,plain,
( epred3_0
| op(e3,e1) != e1
| ~ epred4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_267,c_0_302])]) ).
cnf(c_0_324,negated_conjecture,
epred4_0,
inference(sr,[status(thm)],[c_0_319,c_0_316]) ).
cnf(c_0_325,plain,
op(e3,e1) = e1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_320]),c_0_61]) ).
cnf(c_0_326,plain,
~ epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_321,c_0_322])]) ).
cnf(c_0_327,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_323,c_0_324])]),c_0_325])]),c_0_326]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG170+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 04:49:20 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.42/0.58 start to proof: theBenchmark
% 0.52/0.71 % Version : CSE_E---1.5
% 0.52/0.71 % Problem : theBenchmark.p
% 0.52/0.71 % Proof found
% 0.52/0.71 % SZS status Theorem for theBenchmark.p
% 0.52/0.71 % SZS output start Proof
% See solution above
% 0.52/0.72 % Total time : 0.119000 s
% 0.52/0.72 % SZS output end Proof
% 0.52/0.72 % Total time : 0.125000 s
%------------------------------------------------------------------------------