%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG130+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:52:43 AM UTC 2026
% Result : Unsatisfiable 3.21s 1.07s
% Output : CNFRefutation 3.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 22
% Syntax : Number of formulae : 428 ( 69 unt; 0 def)
% Number of atoms : 1864 (1759 equ)
% Maximal formula atoms : 256 ( 4 avg)
% Number of connectives : 1843 ( 407 ~;1069 |; 365 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax5,axiom,
( ( ( op(e3,op(e3,e3)) = op(e3,e3)
& op(e3,op(e2,e3)) = op(e2,e3)
& op(e3,op(e1,e3)) = op(e1,e3)
& op(e3,op(e0,e3)) = op(e0,e3) )
| ( op(e2,op(e3,e2)) = op(e3,e2)
& op(e2,op(e2,e2)) = op(e2,e2)
& op(e2,op(e1,e2)) = op(e1,e2)
& op(e2,op(e0,e2)) = op(e0,e2) )
| ( op(e1,op(e3,e1)) = op(e3,e1)
& op(e1,op(e2,e1)) = op(e2,e1)
& op(e1,op(e1,e1)) = op(e1,e1)
& op(e1,op(e0,e1)) = op(e0,e1) )
| ( op(e0,op(e3,e0)) = op(e3,e0)
& op(e0,op(e2,e0)) = op(e2,e0)
& op(e0,op(e1,e0)) = op(e1,e0)
& op(e0,op(e0,e0)) = op(e0,e0) ) )
& op(op(e3,e3),e3) = e3
& op(op(e3,e2),e3) = e2
& op(op(e3,e1),e3) = e1
& op(op(e3,e0),e3) = e0
& op(op(e2,e3),e2) = e3
& op(op(e2,e2),e2) = e2
& op(op(e2,e1),e2) = e1
& op(op(e2,e0),e2) = e0
& op(op(e1,e3),e1) = e3
& op(op(e1,e2),e1) = e2
& op(op(e1,e1),e1) = e1
& op(op(e1,e0),e1) = e0
& op(op(e0,e3),e0) = e3
& op(op(e0,e2),e0) = e2
& op(op(e0,e1),e0) = e1
& op(op(e0,e0),e0) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(ax17,axiom,
~ ( e0 = op(e2,e3)
& e1 = op(op(e2,e3),op(e2,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(ax2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(ax1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(ax27,axiom,
~ ( e0 = op(e2,e1)
& e3 = op(op(e2,e1),op(e2,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(ax3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(ax11,axiom,
~ ( e1 = op(e2,e3)
& e0 = op(op(e2,e3),op(e2,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(ax6,axiom,
~ ( e3 = op(e2,e1)
& e0 = op(op(e2,e1),op(e2,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(ax21,axiom,
~ ( e0 = op(e3,e1)
& e2 = op(op(e3,e1),op(e3,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(ax12,axiom,
~ ( e3 = op(e2,e0)
& e1 = op(op(e2,e0),op(e2,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(ax15,axiom,
~ ( e0 = op(e3,e2)
& e1 = op(op(e3,e2),op(e3,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(ax8,axiom,
~ ( e3 = op(e1,e2)
& e0 = op(op(e1,e2),op(e1,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(ax9,axiom,
~ ( e1 = op(e3,e2)
& e0 = op(op(e3,e2),op(e3,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(ax7,axiom,
~ ( e2 = op(e3,e1)
& e0 = op(op(e3,e1),op(e3,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(ax14,axiom,
~ ( e3 = op(e0,e2)
& e1 = op(op(e0,e2),op(e0,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(ax19,axiom,
~ ( e1 = op(e3,e0)
& e2 = op(op(e3,e0),op(e3,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(ax25,axiom,
~ ( e1 = op(e2,e0)
& e3 = op(op(e2,e0),op(e2,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(ax13,axiom,
~ ( e2 = op(e3,e0)
& e1 = op(op(e3,e0),op(e3,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(ax22,axiom,
~ ( e1 = op(e0,e3)
& e2 = op(op(e0,e3),op(e0,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(ax28,axiom,
~ ( e1 = op(e0,e2)
& e3 = op(op(e0,e2),op(e0,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(c_0_21,plain,
( epred1_0
<=> ( ( op(e2,op(e3,e2)) = op(e3,e2)
& op(e2,op(e2,e2)) = op(e2,e2)
& op(e2,op(e1,e2)) = op(e1,e2)
& op(e2,op(e0,e2)) = op(e0,e2) )
| ( op(e1,op(e3,e1)) = op(e3,e1)
& op(e1,op(e2,e1)) = op(e2,e1)
& op(e1,op(e1,e1)) = op(e1,e1)
& op(e1,op(e0,e1)) = op(e0,e1) )
| ( op(e0,op(e3,e0)) = op(e3,e0)
& op(e0,op(e2,e0)) = op(e2,e0)
& op(e0,op(e1,e0)) = op(e1,e0)
& op(e0,op(e0,e0)) = op(e0,e0) ) ) ),
introduced(definition) ).
fof(c_0_22,axiom,
( ( ( op(e3,op(e3,e3)) = op(e3,e3)
& op(e3,op(e2,e3)) = op(e2,e3)
& op(e3,op(e1,e3)) = op(e1,e3)
& op(e3,op(e0,e3)) = op(e0,e3) )
| epred1_0 )
& op(op(e3,e3),e3) = e3
& op(op(e3,e2),e3) = e2
& op(op(e3,e1),e3) = e1
& op(op(e3,e0),e3) = e0
& op(op(e2,e3),e2) = e3
& op(op(e2,e2),e2) = e2
& op(op(e2,e1),e2) = e1
& op(op(e2,e0),e2) = e0
& op(op(e1,e3),e1) = e3
& op(op(e1,e2),e1) = e2
& op(op(e1,e1),e1) = e1
& op(op(e1,e0),e1) = e0
& op(op(e0,e3),e0) = e3
& op(op(e0,e2),e0) = e2
& op(op(e0,e1),e0) = e1
& op(op(e0,e0),e0) = e0 ),
inference(apply_def,[status(thm)],[ax5,c_0_21]) ).
fof(c_0_23,plain,
( ( epred1_0
| op(e3,op(e3,e3)) = op(e3,e3) )
& ( epred1_0
| op(e3,op(e2,e3)) = op(e2,e3) )
& ( epred1_0
| op(e3,op(e1,e3)) = op(e1,e3) )
& ( epred1_0
| op(e3,op(e0,e3)) = op(e0,e3) )
& op(op(e3,e3),e3) = e3
& op(op(e3,e2),e3) = e2
& op(op(e3,e1),e3) = e1
& op(op(e3,e0),e3) = e0
& op(op(e2,e3),e2) = e3
& op(op(e2,e2),e2) = e2
& op(op(e2,e1),e2) = e1
& op(op(e2,e0),e2) = e0
& op(op(e1,e3),e1) = e3
& op(op(e1,e2),e1) = e2
& op(op(e1,e1),e1) = e1
& op(op(e1,e0),e1) = e0
& op(op(e0,e3),e0) = e3
& op(op(e0,e2),e0) = e2
& op(op(e0,e1),e0) = e1
& op(op(e0,e0),e0) = e0 ),
inference(distribute,[status(thm)],[c_0_22]) ).
fof(c_0_24,plain,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_simplification,[status(thm)],[ax4]) ).
fof(c_0_25,plain,
( e0 != op(e2,e3)
| e1 != op(op(e2,e3),op(e2,e3)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax17])]) ).
cnf(c_0_26,plain,
op(op(e3,e0),e3) = e0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_28,plain,
op(op(e0,e0),e0) = e0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
fof(c_0_30,plain,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_nnf,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( e0 != op(e2,e3)
| e1 != op(op(e2,e3),op(e2,e3)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( op(e2,e3) = e0
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
( op(e3,e0) = e0
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
( op(e0,e0) != e1
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
op(op(e2,e0),e2) = e0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_37,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e0,e0) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_33]),c_0_34]),c_0_35]) ).
cnf(c_0_38,plain,
op(op(e2,e2),e2) = e2,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_39,plain,
( op(e2,e2) = e0
| op(e0,e0) = e0
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,plain,
op(op(e1,e0),e1) = e0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_41,plain,
( op(e0,e2) = e2
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,plain,
op(op(e2,e1),e2) = e1,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_43,plain,
( op(e2,e1) = e0
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_44,plain,
( e0 != op(e2,e1)
| e3 != op(op(e2,e1),op(e2,e1)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])]) ).
fof(c_0_45,plain,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(fof_simplification,[status(thm)],[ax3]) ).
cnf(c_0_46,plain,
op(op(e0,e2),e0) = e2,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_47,plain,
( op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e0) = e2
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
( e0 != op(e2,e1)
| e3 != op(op(e2,e1),op(e2,e1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_49,plain,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(fof_nnf,[status(thm)],[c_0_45]) ).
cnf(c_0_50,plain,
( op(e2,e0) = e2
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,plain,
( op(e0,e0) != e3
| op(e0,e2) = e2
| op(e0,e0) = e2
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_48,c_0_43]) ).
cnf(c_0_52,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_53,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_54,plain,
op(e0,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,plain,
( op(e2,e2) = e0
| op(e0,e2) = e1
| op(e0,e0) = e2
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_36,c_0_50]) ).
cnf(c_0_56,plain,
op(op(e0,e3),e0) = e3,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_57,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_58,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_59,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_60,plain,
( op(e0,e2) = e2
| op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_29]),c_0_52]),c_0_53]) ).
cnf(c_0_61,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_62,plain,
( op(e0,e2) != e0
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_63,plain,
( op(e0,e0) = e3
| op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_64,plain,
( e1 != op(e2,e3)
| e0 != op(op(e2,e3),op(e2,e3)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11])]) ).
cnf(c_0_65,plain,
op(op(e3,e1),e3) = e1,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_66,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_67,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_33]),c_0_59]) ).
cnf(c_0_68,plain,
( op(e2,e0) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_46,c_0_60]) ).
cnf(c_0_69,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_70,plain,
( op(e0,e1) != e0
| op(e0,e2) = e2
| op(e0,e0) = e2
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_61,c_0_43]) ).
cnf(c_0_71,plain,
( op(e0,e0) = e2
| op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_59]) ).
cnf(c_0_72,plain,
( e1 != op(e2,e3)
| e0 != op(op(e2,e3),op(e2,e3)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_73,plain,
( op(e2,e3) = e1
| op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2 ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_74,plain,
( op(e0,e0) = e0
| op(e0,e0) = e2
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_75,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_76,plain,
( op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e2) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_51]) ).
cnf(c_0_77,plain,
( op(e1,e1) != e0
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_78,plain,
( op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_40,c_0_74]) ).
cnf(c_0_79,plain,
( op(e0,e1) != e2
| op(e0,e0) = e2
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_80,plain,
op(e3,e0) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_81,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_82,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_83,plain,
( op(e2,e0) = e2
| op(e0,e0) = e2
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_46,c_0_76]) ).
cnf(c_0_84,plain,
( op(e2,e1) = e2
| op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_34]),c_0_79]) ).
cnf(c_0_85,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_86,plain,
( e3 != op(e2,e1)
| e0 != op(op(e2,e1),op(e2,e1)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])]) ).
cnf(c_0_87,plain,
( op(e3,e0) != e3
| op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_88,plain,
( op(e3,e0) = e3
| op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_56,c_0_82]) ).
cnf(c_0_89,plain,
( op(e2,e2) = e0
| op(e0,e0) = e0
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_36,c_0_83]) ).
cnf(c_0_90,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_42,c_0_84]) ).
fof(c_0_91,plain,
( e0 != op(e3,e1)
| e2 != op(op(e3,e1),op(e3,e1)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])]) ).
cnf(c_0_92,plain,
( op(e1,e0) = e3
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_56,c_0_85]) ).
cnf(c_0_93,plain,
( e3 != op(e2,e1)
| e0 != op(op(e2,e1),op(e2,e1)) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_94,plain,
( op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_95,plain,
( op(e3,e3) = e0
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_26,c_0_88]) ).
cnf(c_0_96,plain,
( op(e0,e0) = e2
| op(e0,e0) = e0
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_59]) ).
cnf(c_0_97,plain,
( e0 != op(e3,e1)
| e2 != op(op(e3,e1),op(e3,e1)) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_98,plain,
( op(e3,e1) = e0
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_40,c_0_92]) ).
cnf(c_0_99,plain,
op(op(e1,e1),e1) = e1,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_100,plain,
( op(e0,e0) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e1,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_101,plain,
( op(e2,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_28,c_0_96]) ).
cnf(c_0_102,plain,
( op(e0,e0) != e2
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_103,plain,
op(op(e1,e3),e1) = e3,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_104,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_105,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_106,plain,
( op(e3,e1) = e1
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_107,plain,
( op(e0,e2) = e0
| op(e0,e0) = e0
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_36,c_0_101]) ).
cnf(c_0_108,plain,
( op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_96]),c_0_69]) ).
cnf(c_0_109,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_110,plain,
( op(e3,e1) = e3
| op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3 ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_111,plain,
( op(e0,e1) != e1
| op(e0,e0) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_112,plain,
( op(e0,e0) = e1
| op(e0,e0) = e0
| op(e0,e1) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_59]) ).
cnf(c_0_113,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_114,plain,
op(op(e3,e3),e3) = e3,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_115,plain,
( op(e3,e3) = e0
| op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_26,c_0_109]) ).
fof(c_0_116,plain,
( e3 != op(e2,e0)
| e1 != op(op(e2,e0),op(e2,e0)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax12])]) ).
cnf(c_0_117,plain,
( op(e3,e0) != e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[c_0_80,c_0_110]) ).
cnf(c_0_118,plain,
( op(e0,e2) = e3
| op(e0,e0) = e3
| op(e0,e0) = e0
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).
fof(c_0_119,plain,
( e0 != op(e3,e2)
| e1 != op(op(e3,e2),op(e3,e2)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])]) ).
cnf(c_0_120,plain,
( op(e0,e3) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
fof(c_0_121,plain,
( e3 != op(e1,e2)
| e0 != op(op(e1,e2),op(e1,e2)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax8])]) ).
cnf(c_0_122,plain,
( e3 != op(e2,e0)
| e1 != op(op(e2,e0),op(e2,e0)) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_123,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e0,e0) = e3
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_117,c_0_109]) ).
cnf(c_0_124,plain,
( op(e3,e3) = e1
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[c_0_65,c_0_110]) ).
cnf(c_0_125,plain,
( op(e0,e0) = e1
| op(e0,e0) = e0
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_118]),c_0_52]) ).
cnf(c_0_126,plain,
( e0 != op(e3,e2)
| e1 != op(op(e3,e2),op(e3,e2)) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_127,plain,
( op(e3,e2) = e0
| op(e0,e0) = e3
| op(e1,e0) = e3
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_36,c_0_120]) ).
cnf(c_0_128,plain,
( op(e1,e3) = e0
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1 ),
inference(spm,[status(thm)],[c_0_26,c_0_58]) ).
cnf(c_0_129,plain,
( e3 != op(e1,e2)
| e0 != op(op(e1,e2),op(e1,e2)) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_130,plain,
( op(e0,e0) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).
cnf(c_0_131,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_125]),c_0_113]),c_0_52]),c_0_53]) ).
cnf(c_0_132,plain,
( op(e0,e0) != e1
| op(e0,e3) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_133,plain,
( op(e3,e3) = e1
| op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_65,c_0_81]) ).
cnf(c_0_134,plain,
( op(e1,e2) = e0
| op(e1,e0) = e1
| op(e0,e0) = e1
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[c_0_36,c_0_128]) ).
cnf(c_0_135,plain,
op(op(e2,e3),e2) = e3,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_136,plain,
( op(e3,e3) != e0
| op(e1,e0) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_137,plain,
( op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_28,c_0_131]) ).
cnf(c_0_138,plain,
( op(e1,e0) = e3
| op(e0,e3) = e3
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_131]),c_0_113]) ).
fof(c_0_139,plain,
( e1 != op(e3,e2)
| e0 != op(op(e3,e2),op(e3,e2)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax9])]) ).
cnf(c_0_140,plain,
( op(e1,e3) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_114,c_0_133]) ).
cnf(c_0_141,plain,
op(op(e1,e2),e1) = e2,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_142,plain,
( op(e0,e1) = e3
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e1,e2) = e0 ),
inference(spm,[status(thm)],[c_0_103,c_0_134]) ).
cnf(c_0_143,plain,
( op(e1,e2) = e3
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_135,c_0_73]) ).
cnf(c_0_144,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_136,c_0_115]) ).
cnf(c_0_145,plain,
( op(e0,e0) = e0
| op(e0,e3) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_52]) ).
cnf(c_0_146,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_147,plain,
( e1 != op(e3,e2)
| e0 != op(op(e3,e2),op(e3,e2)) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_148,plain,
( op(e3,e2) = e1
| op(e0,e1) = e3
| op(e1,e1) = e3
| op(e1,e3) = e3 ),
inference(spm,[status(thm)],[c_0_42,c_0_140]) ).
cnf(c_0_149,plain,
( op(e0,e1) = e2
| op(e1,e0) = e1
| op(e0,e0) = e1
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_150,plain,
( op(e2,e2) = e1
| op(e0,e1) = e2
| op(e1,e1) = e2
| op(e1,e2) = e3 ),
inference(spm,[status(thm)],[c_0_42,c_0_143]) ).
cnf(c_0_151,plain,
( op(e3,e2) = e0
| op(e1,e0) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_36,c_0_144]) ).
cnf(c_0_152,plain,
op(e1,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_153,plain,
( op(e3,e0) = e3
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_56,c_0_145]) ).
cnf(c_0_154,plain,
( op(e2,e0) = e3
| op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_56,c_0_146]) ).
cnf(c_0_155,plain,
( op(e1,e1) != e0
| op(e1,e3) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_156,plain,
( op(e1,e1) = e0
| op(e0,e1) = e3
| op(e0,e0) = e1
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_40,c_0_149]) ).
cnf(c_0_157,plain,
op(e1,e1) != op(e1,e2),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_158,plain,
( op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_38,c_0_150]) ).
cnf(c_0_159,plain,
( op(e0,e0) != e1
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[c_0_126,c_0_151]) ).
cnf(c_0_160,plain,
( op(e1,e0) != e3
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_161,plain,
( op(e3,e2) = e0
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_36,c_0_154]) ).
cnf(c_0_162,plain,
( op(e0,e1) = e3
| op(e1,e3) = e3
| op(e0,e1) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_52]) ).
cnf(c_0_163,plain,
( op(e1,e1) != e3
| op(e0,e1) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2 ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_164,plain,
( op(e1,e1) = e3
| op(e0,e0) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_131]),c_0_113]),c_0_160]) ).
cnf(c_0_165,plain,
( op(e0,e0) != e1
| op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_126,c_0_161]) ).
cnf(c_0_166,plain,
( epred1_0
| op(e3,op(e3,e3)) = op(e3,e3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_167,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_168,plain,
( op(e3,e1) = e3
| op(e0,e0) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_103,c_0_162]) ).
cnf(c_0_169,plain,
op(e0,e2) != op(e1,e2),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_170,plain,
( op(e1,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_53]) ).
cnf(c_0_171,plain,
( op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_131]),c_0_69]) ).
fof(c_0_172,plain,
( e2 != op(e3,e1)
| e0 != op(op(e3,e1),op(e3,e1)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])]) ).
cnf(c_0_173,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_174,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_175,plain,
op(op(e3,e2),e3) = e2,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_176,plain,
( epred1_0
| op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_177,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_178,plain,
( op(e3,e3) = e1
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_65,c_0_168]) ).
cnf(c_0_179,plain,
( op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(spm,[status(thm)],[c_0_40,c_0_137]) ).
cnf(c_0_180,plain,
( op(e0,e0) = e0
| op(e0,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_171]) ).
cnf(c_0_181,plain,
( e2 != op(e3,e1)
| e0 != op(op(e3,e1),op(e3,e1)) ),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_182,plain,
( op(e3,e1) = e2
| op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2 ),
inference(spm,[status(thm)],[c_0_141,c_0_173]) ).
cnf(c_0_183,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_184,plain,
( op(e3,e1) = e0
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_40,c_0_174]) ).
cnf(c_0_185,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_186,plain,
( epred1_0
| op(e0,e3) = e2
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_187,plain,
( op(e1,e3) != e1
| op(e0,e0) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_188,plain,
op(e0,e0) = e0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_34]) ).
cnf(c_0_189,plain,
( op(e1,e3) = e1
| op(e0,e0) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_65,c_0_106]) ).
cnf(c_0_190,plain,
( op(e2,e2) != e0
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_191,plain,
( op(e0,e3) = e2
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_175,c_0_183]) ).
cnf(c_0_192,plain,
( op(e0,e3) = e1
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[c_0_65,c_0_184]) ).
cnf(c_0_193,plain,
( op(e3,e2) = e0
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_36,c_0_185]) ).
cnf(c_0_194,plain,
( epred1_0
| op(e0,e3) = e1
| op(e3,e0) = e0
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_65,c_0_186]) ).
fof(c_0_195,plain,
( e3 != op(e0,e2)
| e1 != op(op(e0,e2),op(e0,e2)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax14])]) ).
cnf(c_0_196,plain,
( op(e1,e3) != e1
| op(e0,e1) = e3
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_188]),c_0_59]) ).
cnf(c_0_197,plain,
( op(e0,e1) = e3
| op(e0,e2) = e3
| op(e1,e3) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_188]),c_0_52]) ).
cnf(c_0_198,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e0,e2) = e0
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_199,plain,
( op(e0,e2) = e2
| op(e1,e2) = e0
| op(e0,e2) = e0
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_38,c_0_191]) ).
cnf(c_0_200,plain,
( op(e3,e1) = e2
| op(e1,e0) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_141,c_0_130]) ).
cnf(c_0_201,plain,
( op(e2,e1) = e0
| op(e1,e0) = e0
| op(e1,e0) = e1
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_40,c_0_192]) ).
cnf(c_0_202,plain,
( op(e0,e3) = e2
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(spm,[status(thm)],[c_0_175,c_0_193]) ).
cnf(c_0_203,plain,
op(e0,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_204,plain,
( epred1_0
| op(e0,e3) = e0
| op(e0,e3) = e2
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_26,c_0_194]) ).
cnf(c_0_205,plain,
( e3 != op(e0,e2)
| e1 != op(op(e0,e2),op(e0,e2)) ),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
cnf(c_0_206,plain,
( op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_207,plain,
( op(e0,e1) = e2
| op(e0,e1) = e3
| op(e3,e3) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_188]),c_0_59]) ).
cnf(c_0_208,plain,
( op(e0,e3) = e2
| op(e0,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_198]),c_0_199]) ).
cnf(c_0_209,plain,
( op(e2,e3) = e1
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[c_0_65,c_0_200]) ).
cnf(c_0_210,plain,
( op(e0,e2) = e1
| op(e0,e3) = e1
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[c_0_42,c_0_201]) ).
cnf(c_0_211,plain,
op(e0,e0) != op(e1,e0),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_212,plain,
( op(e2,e2) = e0
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_36,c_0_202]) ).
cnf(c_0_213,plain,
op(e2,e0) != e0,
inference(rw,[status(thm)],[c_0_203,c_0_188]) ).
cnf(c_0_214,plain,
op(e0,e0) != op(e0,e2),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_215,plain,
( epred1_0
| op(e3,op(e0,e3)) = op(e0,e3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_216,plain,
( epred1_0
| op(e2,e0) = e3
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_56,c_0_204]) ).
cnf(c_0_217,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_218,plain,
( e1 != op(e3,e0)
| e2 != op(op(e3,e0),op(e3,e0)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])]) ).
cnf(c_0_219,plain,
op(op(e0,e1),e0) = e1,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_220,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207]) ).
cnf(c_0_221,plain,
( op(e1,e1) = e2
| op(e1,e2) = e0
| op(e0,e2) = e0
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_141,c_0_208]) ).
cnf(c_0_222,plain,
( op(e1,e1) != e0
| op(e1,e0) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_72,c_0_209]) ).
cnf(c_0_223,plain,
( op(e1,e1) = e0
| op(e1,e0) = e0
| op(e0,e3) = e1
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_40,c_0_210]) ).
cnf(c_0_224,plain,
op(e1,e0) != e0,
inference(rw,[status(thm)],[c_0_211,c_0_188]) ).
cnf(c_0_225,plain,
op(e1,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_226,plain,
( op(e0,e3) = e2
| op(e2,e0) = e1
| op(e2,e2) = e0 ),
inference(sr,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_227,plain,
op(e0,e2) != e0,
inference(rw,[status(thm)],[c_0_214,c_0_188]) ).
cnf(c_0_228,plain,
( epred1_0
| op(e3,e2) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_215,c_0_204]) ).
cnf(c_0_229,plain,
( epred1_0
| op(e3,e2) = e0
| op(e0,e3) = e0
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_36,c_0_216]) ).
cnf(c_0_230,plain,
( op(e2,e1) = e3
| op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2 ),
inference(spm,[status(thm)],[c_0_103,c_0_217]) ).
cnf(c_0_231,plain,
( e1 != op(e3,e0)
| e2 != op(op(e3,e0),op(e3,e0)) ),
inference(split_conjunct,[status(thm)],[c_0_218]) ).
cnf(c_0_232,plain,
( op(e3,e0) = e1
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_233,plain,
( op(e0,e1) = e2
| op(e0,e3) = e2
| op(e0,e2) = e0
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_141,c_0_221]) ).
cnf(c_0_234,plain,
( op(e1,e1) != e0
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_188]),c_0_52]) ).
cnf(c_0_235,plain,
( op(e0,e2) = e1
| op(e0,e3) = e1
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[c_0_223,c_0_224]) ).
fof(c_0_236,plain,
( e1 != op(e2,e0)
| e3 != op(op(e2,e0),op(e2,e0)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])]) ).
cnf(c_0_237,plain,
( op(e1,e2) != e0
| op(e2,e0) = e1
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_238,plain,
( op(e0,e3) = e2
| op(e1,e2) = e0
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[c_0_221,c_0_227]) ).
cnf(c_0_239,plain,
( epred1_0
| op(e0,e3) = e0
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_34]) ).
cnf(c_0_240,plain,
op(e1,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_241,plain,
( op(e3,e2) = e1
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_42,c_0_230]) ).
cnf(c_0_242,plain,
( op(e1,e1) != e2
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_243,plain,
( op(e1,e1) = e2
| op(e0,e3) = e2
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[c_0_233,c_0_227]) ).
cnf(c_0_244,plain,
( op(e1,e0) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[c_0_210,c_0_224]) ).
cnf(c_0_245,plain,
( op(e1,e0) = e3
| op(e0,e3) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_52]) ).
cnf(c_0_246,plain,
( e1 != op(e2,e0)
| e3 != op(op(e2,e0),op(e2,e0)) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_247,plain,
( op(e0,e3) = e2
| op(e2,e0) = e1
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_248,plain,
( op(e0,e3) = e2
| op(e1,e0) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_144]),c_0_52]),c_0_113]),c_0_53]) ).
cnf(c_0_249,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_250,plain,
( epred1_0
| op(e1,e0) = e3
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_56,c_0_239]) ).
fof(c_0_251,plain,
( e2 != op(e3,e0)
| e1 != op(op(e3,e0),op(e3,e0)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax13])]) ).
cnf(c_0_252,plain,
( op(e1,e1) != e3
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_240,c_0_230]) ).
cnf(c_0_253,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_254,plain,
( op(e1,e1) != e0
| op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2 ),
inference(spm,[status(thm)],[c_0_147,c_0_241]) ).
cnf(c_0_255,plain,
( op(e0,e1) = e2
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_256,plain,
( op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_113]) ).
cnf(c_0_257,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_258,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_259,plain,
( op(e1,e1) != e3
| op(e1,e1) = e2
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_260,plain,
( op(e1,e1) = e3
| op(e1,e0) = e3
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_188]),c_0_52]) ).
cnf(c_0_261,plain,
( epred1_0
| op(e3,e1) = e1
| op(e3,e0) = e1
| op(e3,e2) = e1 ),
inference(spm,[status(thm)],[c_0_166,c_0_249]) ).
cnf(c_0_262,plain,
( epred1_0
| op(e3,e1) = e1
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_215,c_0_239]) ).
cnf(c_0_263,plain,
( epred1_0
| op(e3,e1) = e0
| op(e0,e3) = e0 ),
inference(spm,[status(thm)],[c_0_40,c_0_250]) ).
cnf(c_0_264,plain,
( e2 != op(e3,e0)
| e1 != op(op(e3,e0),op(e3,e0)) ),
inference(split_conjunct,[status(thm)],[c_0_251]) ).
cnf(c_0_265,plain,
( op(e1,e0) = e2
| op(e1,e2) = e2
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_53]),c_0_254]) ).
cnf(c_0_266,plain,
( op(e0,e1) = e2
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_69]) ).
cnf(c_0_267,plain,
( op(e3,e0) != e1
| op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[c_0_80,c_0_257]) ).
cnf(c_0_268,plain,
( op(e3,e0) = e1
| op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_219,c_0_258]) ).
cnf(c_0_269,plain,
op(e0,e0) != op(e0,e1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_270,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_271,plain,
( op(e1,e0) = e1
| op(e1,e0) = e2
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[c_0_192,c_0_224]) ).
cnf(c_0_272,plain,
( op(e0,e3) = e2
| op(e1,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_53]) ).
cnf(c_0_273,plain,
( epred1_0
| op(e1,e3) = e2
| op(e3,e0) = e1
| op(e3,e1) = e1 ),
inference(spm,[status(thm)],[c_0_175,c_0_261]) ).
cnf(c_0_274,plain,
( epred1_0
| op(e0,e3) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_59]) ).
cnf(c_0_275,plain,
( op(e2,e2) != e1
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_264,c_0_27]) ).
cnf(c_0_276,plain,
( op(e2,e1) = e2
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_141,c_0_265]) ).
cnf(c_0_277,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_278,plain,
( op(e1,e0) = e2
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_46,c_0_266]) ).
cnf(c_0_279,plain,
( op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e0 ),
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_280,plain,
op(e0,e1) != e0,
inference(rw,[status(thm)],[c_0_269,c_0_188]) ).
cnf(c_0_281,plain,
( op(e0,e1) != e1
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_75,c_0_266]) ).
cnf(c_0_282,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_283,plain,
( op(e1,e3) = e3
| op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_114,c_0_270]) ).
cnf(c_0_284,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_285,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_53]),c_0_113]) ).
cnf(c_0_286,plain,
( epred1_0
| op(e1,e3) = e1
| op(e3,e0) = e1
| op(e1,e3) = e2 ),
inference(spm,[status(thm)],[c_0_65,c_0_273]) ).
cnf(c_0_287,plain,
( epred1_0
| op(e3,e0) = e0 ),
inference(spm,[status(thm)],[c_0_215,c_0_274]) ).
cnf(c_0_288,plain,
op(e1,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_289,plain,
( op(e2,e3) = e1
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(spm,[status(thm)],[c_0_65,c_0_182]) ).
cnf(c_0_290,plain,
( op(e2,e2) != e1
| op(e2,e0) = e2
| op(e1,e0) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_188]),c_0_34]) ).
cnf(c_0_291,plain,
( op(e2,e2) = e1
| op(e1,e0) = e2
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_42,c_0_276]) ).
cnf(c_0_292,plain,
( op(e2,e0) != e2
| op(e1,e0) = e2
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_277,c_0_276]) ).
cnf(c_0_293,plain,
( op(e2,e1) = e0
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_40,c_0_278]) ).
cnf(c_0_294,plain,
( op(e0,e1) = e2
| op(e1,e1) = e1
| op(e2,e1) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_279,c_0_280]),c_0_281]) ).
cnf(c_0_295,plain,
( op(e1,e1) = e3
| op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1 ),
inference(spm,[status(thm)],[c_0_103,c_0_282]) ).
fof(c_0_296,plain,
( e1 != op(e0,e3)
| e2 != op(op(e0,e3),op(e0,e3)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).
cnf(c_0_297,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_298,plain,
( op(e1,e2) = e3
| op(e1,e3) = e1
| op(e0,e3) = e1
| op(e1,e3) = e3 ),
inference(spm,[status(thm)],[c_0_135,c_0_283]) ).
cnf(c_0_299,plain,
( op(e1,e3) = e0
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_26,c_0_232]) ).
cnf(c_0_300,plain,
( op(e0,e1) != e2
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_301,plain,
( op(e1,e1) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_188]),c_0_52]) ).
cnf(c_0_302,plain,
( epred1_0
| op(e1,e3) = e2
| op(e1,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_59]) ).
cnf(c_0_303,plain,
( op(e1,e1) != e3
| op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2 ),
inference(spm,[status(thm)],[c_0_157,c_0_173]) ).
cnf(c_0_304,plain,
( op(e1,e1) != e2
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(spm,[status(thm)],[c_0_288,c_0_182]) ).
cnf(c_0_305,plain,
( op(e1,e1) != e0
| op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2 ),
inference(spm,[status(thm)],[c_0_72,c_0_289]) ).
cnf(c_0_306,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_307,plain,
( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e1) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_292]) ).
cnf(c_0_308,plain,
( op(e0,e1) = e2
| op(e1,e1) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_59]) ).
cnf(c_0_309,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_310,plain,
( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e0) = e1
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_141,c_0_295]) ).
cnf(c_0_311,plain,
( e1 != op(e0,e3)
| e2 != op(op(e0,e3),op(e0,e3)) ),
inference(split_conjunct,[status(thm)],[c_0_296]) ).
cnf(c_0_312,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_313,plain,
( op(e1,e1) != e0
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e1,e2) = e0 ),
inference(spm,[status(thm)],[c_0_297,c_0_134]) ).
cnf(c_0_314,plain,
( op(e0,e3) = e1
| op(e1,e2) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_52]),c_0_59]),c_0_300]) ).
cnf(c_0_315,plain,
( op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_188]),c_0_52]) ).
cnf(c_0_316,plain,
( op(e0,e3) = e2
| op(e0,e2) = e3
| op(e0,e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_301]),c_0_53]) ).
cnf(c_0_317,plain,
( epred1_0
| op(e3,op(e1,e3)) = op(e1,e3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_318,plain,
( epred1_0
| op(e2,e1) = e3
| op(e1,e3) = e1 ),
inference(spm,[status(thm)],[c_0_103,c_0_302]) ).
cnf(c_0_319,plain,
op(e1,e0) != op(e1,e2),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_320,plain,
( op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0
| op(e1,e1) = e1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_253]),c_0_304]),c_0_305]) ).
cnf(c_0_321,plain,
( op(e1,e1) = e1
| op(e1,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_308]) ).
cnf(c_0_322,plain,
( op(e1,e0) != e3
| op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_309,c_0_310]) ).
cnf(c_0_323,plain,
( op(e1,e0) = e3
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_56,c_0_256]) ).
cnf(c_0_324,plain,
( op(e1,e1) != e2
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_311,c_0_256]) ).
cnf(c_0_325,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_282]),c_0_59]) ).
cnf(c_0_326,plain,
( op(e1,e1) != e0
| op(e1,e2) = e0
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_188]),c_0_59]) ).
cnf(c_0_327,plain,
( op(e0,e2) != e3
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_169,c_0_314]) ).
cnf(c_0_328,plain,
( op(e0,e2) = e3
| op(e0,e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_53]) ).
cnf(c_0_329,plain,
( epred1_0
| op(e3,e2) = e2
| op(e1,e3) = e1 ),
inference(spm,[status(thm)],[c_0_317,c_0_302]) ).
cnf(c_0_330,plain,
( epred1_0
| op(e3,e2) = e1
| op(e1,e3) = e1 ),
inference(spm,[status(thm)],[c_0_42,c_0_318]) ).
cnf(c_0_331,plain,
( op(e0,e2) = e3
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_135,c_0_32]) ).
cnf(c_0_332,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_333,plain,
( op(e2,e0) = e2
| op(e2,e0) = e1
| op(e3,e2) = e0 ),
inference(sr,[status(thm)],[c_0_193,c_0_213]) ).
cnf(c_0_334,plain,
( op(e1,e1) = e1
| op(e1,e2) = e0
| op(e1,e2) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_321]) ).
cnf(c_0_335,plain,
( op(e1,e1) = e1
| op(e0,e2) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_113]),c_0_324]) ).
cnf(c_0_336,plain,
( op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1
| op(e1,e2) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_325,c_0_224]),c_0_326]) ).
cnf(c_0_337,plain,
( op(e0,e3) = e1
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_327,c_0_328]) ).
cnf(c_0_338,plain,
( epred1_0
| op(e1,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_330]),c_0_69]) ).
cnf(c_0_339,plain,
( op(e2,e2) = e0
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_36,c_0_331]) ).
cnf(c_0_340,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[c_0_208,c_0_227]) ).
cnf(c_0_341,plain,
( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_272]),c_0_113]) ).
cnf(c_0_342,plain,
( op(e1,e2) != e0
| op(e2,e0) = e1
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_332,c_0_333]) ).
cnf(c_0_343,plain,
( op(e1,e2) = e0
| op(e1,e1) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_334]),c_0_335]) ).
cnf(c_0_344,plain,
( op(e1,e2) = e0
| op(e1,e0) = e1
| op(e1,e1) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_336]),c_0_335]) ).
cnf(c_0_345,plain,
( op(e1,e0) = e3
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_56,c_0_337]) ).
cnf(c_0_346,plain,
( op(e1,e1) != e2
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_311,c_0_337]) ).
cnf(c_0_347,plain,
( epred1_0
| op(e3,e1) = e1 ),
inference(spm,[status(thm)],[c_0_317,c_0_338]) ).
cnf(c_0_348,plain,
( op(e1,e2) != e0
| op(e0,e2) = e3
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_225,c_0_339]) ).
cnf(c_0_349,plain,
( op(e1,e1) != e1
| op(e0,e3) = e2
| op(e1,e2) = e0 ),
inference(spm,[status(thm)],[c_0_157,c_0_340]) ).
cnf(c_0_350,plain,
( op(e0,e3) = e2
| op(e1,e1) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_341]),c_0_308]) ).
cnf(c_0_351,plain,
op(e1,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_352,plain,
( op(e2,e0) = e2
| op(e2,e0) = e1
| op(e1,e1) = e1 ),
inference(spm,[status(thm)],[c_0_342,c_0_343]) ).
cnf(c_0_353,plain,
( op(e1,e1) = e1
| op(e1,e0) = e1
| op(e1,e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_344]),c_0_59]) ).
cnf(c_0_354,plain,
( op(e1,e1) = e1
| op(e0,e1) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_345]),c_0_113]),c_0_346]) ).
cnf(c_0_355,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_356,plain,
( e1 != op(e0,e2)
| e3 != op(op(e0,e2),op(e0,e2)) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_357,plain,
( op(e0,e1) != e1
| epred1_0 ),
inference(spm,[status(thm)],[c_0_105,c_0_347]) ).
cnf(c_0_358,plain,
( op(e1,e2) != e0
| op(e1,e0) = e2
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_348,c_0_188]),c_0_34]) ).
cnf(c_0_359,plain,
( op(e1,e2) = e0
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_349,c_0_350]) ).
cnf(c_0_360,plain,
( op(e1,e1) = e1
| op(e2,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_321]) ).
cnf(c_0_361,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_353]),c_0_354]) ).
cnf(c_0_362,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_363,plain,
op(e3,e0) != e0,
inference(rw,[status(thm)],[c_0_355,c_0_188]) ).
fof(c_0_364,plain,
( epred1_0
=> ( ( op(e2,op(e3,e2)) = op(e3,e2)
& op(e2,op(e2,e2)) = op(e2,e2)
& op(e2,op(e1,e2)) = op(e1,e2)
& op(e2,op(e0,e2)) = op(e0,e2) )
| ( op(e1,op(e3,e1)) = op(e3,e1)
& op(e1,op(e2,e1)) = op(e2,e1)
& op(e1,op(e1,e1)) = op(e1,e1)
& op(e1,op(e0,e1)) = op(e0,e1) )
| ( op(e0,op(e3,e0)) = op(e3,e0)
& op(e0,op(e2,e0)) = op(e2,e0)
& op(e0,op(e1,e0)) = op(e1,e0)
& op(e0,op(e0,e0)) = op(e0,e0) ) ) ),
inference(split_equiv,[status(thm)],[c_0_21]) ).
cnf(c_0_365,plain,
( e1 != op(e0,e2)
| e3 != op(op(e0,e2),op(e0,e2)) ),
inference(split_conjunct,[status(thm)],[c_0_356]) ).
cnf(c_0_366,plain,
( epred1_0
| op(e0,e0) = e1
| op(e0,e2) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_274]),c_0_59]),c_0_357]) ).
cnf(c_0_367,plain,
( epred1_0
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_103,c_0_338]) ).
cnf(c_0_368,plain,
( op(e0,e2) = e3
| op(e1,e0) = e2
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_358,c_0_359]) ).
cnf(c_0_369,plain,
op(e1,e1) = e1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_360]),c_0_361]) ).
cnf(c_0_370,plain,
op(e2,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_371,plain,
( op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(sr,[status(thm)],[c_0_362,c_0_363]) ).
cnf(c_0_372,plain,
( op(e3,e1) = e2
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_141,c_0_314]) ).
cnf(c_0_373,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
fof(c_0_374,plain,
( ( ~ epred1_0
| op(e0,op(e3,e0)) = op(e3,e0)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e2,op(e3,e2)) = op(e3,e2) )
& ( ~ epred1_0
| op(e0,op(e3,e0)) = op(e3,e0)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e2,op(e2,e2)) = op(e2,e2) )
& ( ~ epred1_0
| op(e0,op(e3,e0)) = op(e3,e0)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e2,op(e1,e2)) = op(e1,e2) )
& ( ~ epred1_0
| op(e0,op(e3,e0)) = op(e3,e0)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e2,op(e0,e2)) = op(e0,e2) )
& ( ~ epred1_0
| op(e0,op(e3,e0)) = op(e3,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e3,e2)) = op(e3,e2) )
& ( ~ epred1_0
| op(e0,op(e3,e0)) = op(e3,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e2,e2)) = op(e2,e2) )
& ( ~ epred1_0
| op(e0,op(e3,e0)) = op(e3,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e1,e2)) = op(e1,e2) )
& ( ~ epred1_0
| op(e0,op(e3,e0)) = op(e3,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e0,e2)) = op(e0,e2) )
& ( ~ epred1_0
| op(e0,op(e3,e0)) = op(e3,e0)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e2,op(e3,e2)) = op(e3,e2) )
& ( ~ epred1_0
| op(e0,op(e3,e0)) = op(e3,e0)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e2,op(e2,e2)) = op(e2,e2) )
& ( ~ epred1_0
| op(e0,op(e3,e0)) = op(e3,e0)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e2,op(e1,e2)) = op(e1,e2) )
& ( ~ epred1_0
| op(e0,op(e3,e0)) = op(e3,e0)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e2,op(e0,e2)) = op(e0,e2) )
& ( ~ epred1_0
| op(e0,op(e3,e0)) = op(e3,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e3,e2)) = op(e3,e2) )
& ( ~ epred1_0
| op(e0,op(e3,e0)) = op(e3,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e2,e2)) = op(e2,e2) )
& ( ~ epred1_0
| op(e0,op(e3,e0)) = op(e3,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e1,e2)) = op(e1,e2) )
& ( ~ epred1_0
| op(e0,op(e3,e0)) = op(e3,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e0,e2)) = op(e0,e2) )
& ( ~ epred1_0
| op(e0,op(e2,e0)) = op(e2,e0)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e2,op(e3,e2)) = op(e3,e2) )
& ( ~ epred1_0
| op(e0,op(e2,e0)) = op(e2,e0)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e2,op(e2,e2)) = op(e2,e2) )
& ( ~ epred1_0
| op(e0,op(e2,e0)) = op(e2,e0)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e2,op(e1,e2)) = op(e1,e2) )
& ( ~ epred1_0
| op(e0,op(e2,e0)) = op(e2,e0)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e2,op(e0,e2)) = op(e0,e2) )
& ( ~ epred1_0
| op(e0,op(e2,e0)) = op(e2,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e3,e2)) = op(e3,e2) )
& ( ~ epred1_0
| op(e0,op(e2,e0)) = op(e2,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e2,e2)) = op(e2,e2) )
& ( ~ epred1_0
| op(e0,op(e2,e0)) = op(e2,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e1,e2)) = op(e1,e2) )
& ( ~ epred1_0
| op(e0,op(e2,e0)) = op(e2,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e0,e2)) = op(e0,e2) )
& ( ~ epred1_0
| op(e0,op(e2,e0)) = op(e2,e0)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e2,op(e3,e2)) = op(e3,e2) )
& ( ~ epred1_0
| op(e0,op(e2,e0)) = op(e2,e0)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e2,op(e2,e2)) = op(e2,e2) )
& ( ~ epred1_0
| op(e0,op(e2,e0)) = op(e2,e0)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e2,op(e1,e2)) = op(e1,e2) )
& ( ~ epred1_0
| op(e0,op(e2,e0)) = op(e2,e0)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e2,op(e0,e2)) = op(e0,e2) )
& ( ~ epred1_0
| op(e0,op(e2,e0)) = op(e2,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e3,e2)) = op(e3,e2) )
& ( ~ epred1_0
| op(e0,op(e2,e0)) = op(e2,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e2,e2)) = op(e2,e2) )
& ( ~ epred1_0
| op(e0,op(e2,e0)) = op(e2,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e1,e2)) = op(e1,e2) )
& ( ~ epred1_0
| op(e0,op(e2,e0)) = op(e2,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e0,e2)) = op(e0,e2) )
& ( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e2,op(e3,e2)) = op(e3,e2) )
& ( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e2,op(e2,e2)) = op(e2,e2) )
& ( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e2,op(e1,e2)) = op(e1,e2) )
& ( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e2,op(e0,e2)) = op(e0,e2) )
& ( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e3,e2)) = op(e3,e2) )
& ( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e2,e2)) = op(e2,e2) )
& ( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e1,e2)) = op(e1,e2) )
& ( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e0,e2)) = op(e0,e2) )
& ( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e2,op(e3,e2)) = op(e3,e2) )
& ( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e2,op(e2,e2)) = op(e2,e2) )
& ( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e2,op(e1,e2)) = op(e1,e2) )
& ( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e2,op(e0,e2)) = op(e0,e2) )
& ( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e3,e2)) = op(e3,e2) )
& ( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e2,e2)) = op(e2,e2) )
& ( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e1,e2)) = op(e1,e2) )
& ( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e0,e2)) = op(e0,e2) )
& ( ~ epred1_0
| op(e0,op(e0,e0)) = op(e0,e0)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e2,op(e3,e2)) = op(e3,e2) )
& ( ~ epred1_0
| op(e0,op(e0,e0)) = op(e0,e0)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e2,op(e2,e2)) = op(e2,e2) )
& ( ~ epred1_0
| op(e0,op(e0,e0)) = op(e0,e0)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e2,op(e1,e2)) = op(e1,e2) )
& ( ~ epred1_0
| op(e0,op(e0,e0)) = op(e0,e0)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e2,op(e0,e2)) = op(e0,e2) )
& ( ~ epred1_0
| op(e0,op(e0,e0)) = op(e0,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e3,e2)) = op(e3,e2) )
& ( ~ epred1_0
| op(e0,op(e0,e0)) = op(e0,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e2,e2)) = op(e2,e2) )
& ( ~ epred1_0
| op(e0,op(e0,e0)) = op(e0,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e1,e2)) = op(e1,e2) )
& ( ~ epred1_0
| op(e0,op(e0,e0)) = op(e0,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e0,e2)) = op(e0,e2) )
& ( ~ epred1_0
| op(e0,op(e0,e0)) = op(e0,e0)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e2,op(e3,e2)) = op(e3,e2) )
& ( ~ epred1_0
| op(e0,op(e0,e0)) = op(e0,e0)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e2,op(e2,e2)) = op(e2,e2) )
& ( ~ epred1_0
| op(e0,op(e0,e0)) = op(e0,e0)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e2,op(e1,e2)) = op(e1,e2) )
& ( ~ epred1_0
| op(e0,op(e0,e0)) = op(e0,e0)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e2,op(e0,e2)) = op(e0,e2) )
& ( ~ epred1_0
| op(e0,op(e0,e0)) = op(e0,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e3,e2)) = op(e3,e2) )
& ( ~ epred1_0
| op(e0,op(e0,e0)) = op(e0,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e2,e2)) = op(e2,e2) )
& ( ~ epred1_0
| op(e0,op(e0,e0)) = op(e0,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e1,e2)) = op(e1,e2) )
& ( ~ epred1_0
| op(e0,op(e0,e0)) = op(e0,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e0,e2)) = op(e0,e2) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_364])])]) ).
cnf(c_0_375,plain,
( epred1_0
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_56,c_0_274]) ).
cnf(c_0_376,plain,
( epred1_0
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_367]) ).
cnf(c_0_377,plain,
( op(e0,e3) = e2
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_368]),c_0_53]) ).
cnf(c_0_378,plain,
op(e3,e1) != e1,
inference(rw,[status(thm)],[c_0_288,c_0_369]) ).
cnf(c_0_379,plain,
( op(e2,e0) != e3
| op(e3,e0) = e2
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_370,c_0_371]) ).
cnf(c_0_380,plain,
( op(e2,e0) = e3
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_56,c_0_285]) ).
cnf(c_0_381,plain,
( op(e3,e0) != e2
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_80,c_0_372]) ).
cnf(c_0_382,plain,
( op(e3,e2) = e1
| op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(spm,[status(thm)],[c_0_42,c_0_373]) ).
cnf(c_0_383,plain,
( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e2,op(e3,e2)) = op(e3,e2) ),
inference(split_conjunct,[status(thm)],[c_0_374]) ).
cnf(c_0_384,plain,
epred1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_376]),c_0_113]) ).
cnf(c_0_385,plain,
( op(e0,e2) = e1
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_377]),c_0_69]) ).
cnf(c_0_386,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_387,plain,
( op(e3,e0) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(sr,[status(thm)],[c_0_249,c_0_378]) ).
cnf(c_0_388,plain,
( op(e3,e0) = e1
| op(e0,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_380]),c_0_381]) ).
cnf(c_0_389,plain,
( op(e1,e0) = e2
| op(e1,e0) = e1
| op(e3,e1) = e0 ),
inference(sr,[status(thm)],[c_0_184,c_0_224]) ).
cnf(c_0_390,plain,
op(e1,e0) != e1,
inference(rw,[status(thm)],[c_0_309,c_0_369]) ).
cnf(c_0_391,plain,
( op(e1,e3) = e2
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(spm,[status(thm)],[c_0_175,c_0_382]) ).
cnf(c_0_392,plain,
op(e2,e1) != e1,
inference(rw,[status(thm)],[c_0_240,c_0_369]) ).
cnf(c_0_393,plain,
( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e1,e0)) = op(e1,e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_383,c_0_384])]) ).
cnf(c_0_394,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_395,plain,
( op(e3,e0) = e2
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_46,c_0_385]) ).
cnf(c_0_396,plain,
( op(e3,e2) = e1
| op(e3,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_387]),c_0_388]) ).
cnf(c_0_397,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_398,plain,
( op(e3,e1) = e0
| op(e1,e0) = e2 ),
inference(sr,[status(thm)],[c_0_389,c_0_390]) ).
cnf(c_0_399,plain,
( op(e2,e1) = e0
| op(e2,e1) = e2
| op(e1,e3) = e2 ),
inference(sr,[status(thm)],[c_0_391,c_0_392]) ).
cnf(c_0_400,plain,
( op(e2,e1) = e1
| op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e3,e1)) = op(e3,e1) ),
inference(spm,[status(thm)],[c_0_393,c_0_394]) ).
cnf(c_0_401,plain,
op(e1,e2) != e1,
inference(rw,[status(thm)],[c_0_157,c_0_369]) ).
cnf(c_0_402,plain,
( op(e2,e2) != e1
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_264,c_0_395]) ).
cnf(c_0_403,plain,
( op(e1,e3) = e2
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_175,c_0_396]) ).
cnf(c_0_404,plain,
( op(e2,e1) != e0
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_397,c_0_398]) ).
cnf(c_0_405,plain,
( op(e1,e3) = e2
| op(e2,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_399]),c_0_293]) ).
cnf(c_0_406,plain,
( op(e0,e2) = e1
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e1,e0)) = op(e1,e0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_400,c_0_392]),c_0_401]),c_0_402]) ).
cnf(c_0_407,plain,
( op(e3,e1) = e0
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_40,c_0_323]) ).
cnf(c_0_408,plain,
( op(e1,e3) = e0
| op(e1,e3) = e2 ),
inference(spm,[status(thm)],[c_0_26,c_0_403]) ).
cnf(c_0_409,plain,
( op(e1,e0) = e2
| op(e1,e3) = e2 ),
inference(spm,[status(thm)],[c_0_404,c_0_405]) ).
cnf(c_0_410,plain,
( op(e0,e2) = e1
| op(e0,op(e1,e0)) = op(e1,e0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_407]),c_0_224]) ).
cnf(c_0_411,plain,
( op(e2,e1) = e3
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[c_0_103,c_0_408]) ).
cnf(c_0_412,plain,
( op(e2,e1) = e3
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_103,c_0_409]) ).
cnf(c_0_413,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_414,plain,
( op(e0,e3) = e3
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_410,c_0_323]) ).
cnf(c_0_415,plain,
op(e0,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_416,plain,
( op(e3,e2) = e1
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[c_0_42,c_0_411]) ).
cnf(c_0_417,plain,
( op(e3,e2) = e1
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_42,c_0_412]) ).
cnf(c_0_418,plain,
( ~ epred1_0
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e0,e2)) = op(e0,e2) ),
inference(split_conjunct,[status(thm)],[c_0_374]) ).
cnf(c_0_419,plain,
( op(e0,e2) != e1
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_413,c_0_337]) ).
cnf(c_0_420,plain,
op(e0,e2) = e1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_414]),c_0_113]) ).
cnf(c_0_421,plain,
( op(e0,e2) != e1
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[c_0_415,c_0_416]) ).
cnf(c_0_422,plain,
( op(e0,e2) != e1
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_415,c_0_417]) ).
cnf(c_0_423,plain,
( op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e0,e2)) = op(e0,e2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_418,c_0_384])]) ).
cnf(c_0_424,plain,
op(e0,e1) = e3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_419,c_0_420])]) ).
cnf(c_0_425,plain,
op(e1,e3) = e0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_421,c_0_420])]) ).
cnf(c_0_426,plain,
op(e1,e0) = e2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_422,c_0_420])]) ).
cnf(c_0_427,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_423,c_0_420]),c_0_420]),c_0_392]),c_0_424]),c_0_425]),c_0_424]),c_0_426]),c_0_420]),c_0_426]),c_0_52]),c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG130+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 12:58:55 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.21/1.07 % Version: 3.5.1
% 3.21/1.07 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.21/1.07 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.21/1.07 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.21/1.07 % Starting new_bool_3 with 300s (1) cores
% 3.21/1.07 % Starting new_bool_1 with 300s (1) cores
% 3.21/1.07 % Starting sh5l with 300s (1) cores
% 3.21/1.07 % new_bool_1 with pid 1031034 completed with status 9
% 3.21/1.07 % sh5l with pid 1031035 completed with status 9
% 3.21/1.07 % new_bool_3 with pid 1031033 completed with status 9
% 3.21/1.07 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1031032 completed with status 0
% 3.21/1.07 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 3.21/1.07 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.21/1.07 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.21/1.07 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.21/1.07 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.21/1.07 % No SInE strategy applied
% 3.21/1.07 % Search class: FGHSF-FSLM22-SFFFFFNN
% 3.21/1.07 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.21/1.07 % Starting SubtermCWHack with 136s (1) cores
% 3.21/1.07 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.21/1.07 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 3.21/1.07 % Starting new_bool_3 with 136s (1) cores
% 3.21/1.07 % Starting new_bool_1 with 136s (1) cores
% 3.21/1.07 % new_bool_1 with pid 1031056 completed with status 0
% 3.21/1.07 % Result found by new_bool_1
% 3.21/1.07 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.21/1.07 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.21/1.07 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.21/1.07 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.21/1.07 % No SInE strategy applied
% 3.21/1.07 % Search class: FGHSF-FSLM22-SFFFFFNN
% 3.21/1.07 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.21/1.07 % Starting SubtermCWHack with 136s (1) cores
% 3.21/1.07 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.21/1.07 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 3.21/1.07 % Starting new_bool_3 with 136s (1) cores
% 3.21/1.07 % Starting new_bool_1 with 136s (1) cores
% 3.21/1.07 % Preprocessing time : 0.002 s
% 3.21/1.07 % Presaturation interreduction done
% 3.21/1.07
% 3.21/1.07 % Proof found!
% 3.21/1.07 % SZS status Unsatisfiable
% 3.21/1.07 % SZS output start CNFRefutation
% See solution above
% 3.21/1.07 % Parsed axioms : 29
% 3.21/1.07 % Removed by relevancy pruning/SinE : 0
% 3.21/1.07 % Initial clauses : 210
% 3.21/1.07 % Removed in clause preprocessing : 0
% 3.21/1.07 % Initial clauses in saturation : 210
% 3.21/1.07 % Processed clauses : 10313
% 3.21/1.07 % ...of these trivial : 206
% 3.21/1.07 % ...subsumed : 7154
% 3.21/1.07 % ...remaining for further processing : 2952
% 3.21/1.07 % Other redundant clauses eliminated : 0
% 3.21/1.07 % Clauses deleted for lack of memory : 0
% 3.21/1.07 % Backward-subsumed : 1346
% 3.21/1.07 % Backward-rewritten : 1137
% 3.21/1.07 % Generated clauses : 58481
% 3.21/1.07 % ...of the previous two non-redundant : 58547
% 3.21/1.07 % ...aggressively subsumed : 0
% 3.21/1.07 % Contextual simplify-reflections : 114
% 3.21/1.07 % Paramodulations : 57990
% 3.21/1.07 % Factorizations : 255
% 3.21/1.07 % NegExts : 0
% 3.21/1.07 % Equation resolutions : 0
% 3.21/1.07 % Disequality decompositions : 0
% 3.21/1.07 % Total rewrite steps : 2304
% 3.21/1.07 % ...of those cached : 2287
% 3.21/1.07 % Propositional unsat checks : 0
% 3.21/1.07 % Propositional check models : 0
% 3.21/1.07 % Propositional check unsatisfiable : 0
% 3.21/1.07 % Propositional clauses : 0
% 3.21/1.07 % Propositional clauses after purity: 0
% 3.21/1.07 % Propositional unsat core size : 0
% 3.21/1.07 % Propositional preprocessing time : 0.000
% 3.21/1.07 % Propositional encoding time : 0.000
% 3.21/1.07 % Propositional solver time : 0.000
% 3.21/1.07 % Success case prop preproc time : 0.000
% 3.21/1.07 % Success case prop encoding time : 0.000
% 3.21/1.07 % Success case prop solver time : 0.000
% 3.21/1.07 % Current number of processed clauses : 23
% 3.21/1.07 % Positive orientable unit clauses : 17
% 3.21/1.07 % Positive unorientable unit clauses: 0
% 3.21/1.07 % Negative unit clauses : 6
% 3.21/1.07 % Non-unit-clauses : 0
% 3.21/1.07 % Current number of unprocessed clauses: 41842
% 3.21/1.07 % ...number of literals in the above : 260903
% 3.21/1.07 % Current number of archived formulas : 0
% 3.21/1.07 % Current number of archived clauses : 2929
% 3.21/1.07 % Clause-clause subsumption calls (NU) : 192136
% 3.21/1.07 % Rec. Clause-clause subsumption calls : 23481
% 3.21/1.07 % Non-unit clause-clause subsumptions : 3412
% 3.21/1.07 % Unit Clause-clause subsumption calls : 2321
% 3.21/1.07 % Rewrite failures with RHS unbound : 0
% 3.21/1.07 % BW rewrite match attempts : 17
% 3.21/1.07 % BW rewrite match successes : 17
% 3.21/1.07 % Condensation attempts : 0
% 3.21/1.07 % Condensation successes : 0
% 3.21/1.07 % Termbank termtop insertions : 861083
% 3.21/1.07 % Search garbage collected termcells : 562
% 3.21/1.07
% 3.21/1.07 % -------------------------------------------------
% 3.21/1.07 % User time : 0.608 s
% 3.21/1.07 % System time : 0.033 s
% 3.21/1.07 % Total time : 0.640 s
% 3.21/1.07 % Maximum resident set size: 3904 pages
% 3.21/1.07
% 3.21/1.07 % -------------------------------------------------
% 3.21/1.07 % User time : 2.998 s
% 3.21/1.07 % System time : 0.178 s
% 3.21/1.07 % Total time : 3.175 s
% 3.21/1.07 % Maximum resident set size: 4864 pages
% 3.21/1.07 % E exiting
%------------------------------------------------------------------------------