%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG130+1 : TPTP v9.2.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:05:43 PM UTC 2026
% Result : Unsatisfiable 6.16s 5.53s
% Output : CNFRefutation 6.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 25
% Syntax : Number of formulae : 452 ( 86 unt; 0 def)
% Number of atoms : 1779 (1672 equ)
% Maximal formula atoms : 256 ( 3 avg)
% Number of connectives : 1680 ( 353 ~;1061 |; 264 &)
% ( 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(op(e0,e0),e0) = e0
& op(op(e0,e1),e0) = e1
& op(op(e0,e2),e0) = e2
& op(op(e0,e3),e0) = e3
& op(op(e1,e0),e1) = e0
& op(op(e1,e1),e1) = e1
& op(op(e1,e2),e1) = e2
& op(op(e1,e3),e1) = e3
& op(op(e2,e0),e2) = e0
& op(op(e2,e1),e2) = e1
& op(op(e2,e2),e2) = e2
& op(op(e2,e3),e2) = e3
& op(op(e3,e0),e3) = e0
& op(op(e3,e1),e3) = e1
& op(op(e3,e2),e3) = e2
& op(op(e3,e3),e3) = e3
& ( ( op(e0,op(e0,e0)) = op(e0,e0)
& op(e0,op(e1,e0)) = op(e1,e0)
& op(e0,op(e2,e0)) = op(e2,e0)
& op(e0,op(e3,e0)) = op(e3,e0) )
| ( op(e1,op(e0,e1)) = op(e0,e1)
& op(e1,op(e1,e1)) = op(e1,e1)
& op(e1,op(e2,e1)) = op(e2,e1)
& op(e1,op(e3,e1)) = op(e3,e1) )
| ( op(e2,op(e0,e2)) = op(e0,e2)
& op(e2,op(e1,e2)) = op(e1,e2)
& op(e2,op(e2,e2)) = op(e2,e2)
& op(e2,op(e3,e2)) = op(e3,e2) )
| ( op(e3,op(e0,e3)) = op(e0,e3)
& op(e3,op(e1,e3)) = op(e1,e3)
& op(e3,op(e2,e3)) = op(e2,e3)
& op(e3,op(e3,e3)) = op(e3,e3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(ax17,axiom,
~ ( e1 = op(op(e2,e3),op(e2,e3))
& e0 = op(e2,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(ax2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(ax1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(ax4,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(ax27,axiom,
~ ( e3 = op(op(e2,e1),op(e2,e1))
& e0 = op(e2,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(ax3,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(ax11,axiom,
~ ( e0 = op(op(e2,e3),op(e2,e3))
& e1 = op(e2,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(ax6,axiom,
~ ( e0 = op(op(e2,e1),op(e2,e1))
& e3 = op(e2,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(ax21,axiom,
~ ( e2 = op(op(e3,e1),op(e3,e1))
& e0 = op(e3,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(ax12,axiom,
~ ( e1 = op(op(e2,e0),op(e2,e0))
& e3 = op(e2,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(ax15,axiom,
~ ( e1 = op(op(e3,e2),op(e3,e2))
& e0 = op(e3,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(ax8,axiom,
~ ( e0 = op(op(e1,e2),op(e1,e2))
& e3 = op(e1,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(ax7,axiom,
~ ( e0 = op(op(e3,e1),op(e3,e1))
& e2 = op(e3,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(ax9,axiom,
~ ( e0 = op(op(e3,e2),op(e3,e2))
& e1 = op(e3,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(ax25,axiom,
~ ( e3 = op(op(e2,e0),op(e2,e0))
& e1 = op(e2,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(ax14,axiom,
~ ( e1 = op(op(e0,e2),op(e0,e2))
& e3 = op(e0,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(ax19,axiom,
~ ( e2 = op(op(e3,e0),op(e3,e0))
& e1 = op(e3,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(ax22,axiom,
~ ( e2 = op(op(e0,e3),op(e0,e3))
& e1 = op(e0,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(ax20,axiom,
~ ( e2 = op(op(e0,e1),op(e0,e1))
& e3 = op(e0,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(ax18,axiom,
~ ( e2 = op(op(e1,e0),op(e1,e0))
& e3 = op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(ax16,axiom,
~ ( e1 = op(op(e0,e3),op(e0,e3))
& e2 = op(e0,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(ax13,axiom,
~ ( e1 = op(op(e3,e0),op(e3,e0))
& e2 = op(e3,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(ax28,axiom,
~ ( e3 = op(op(e0,e2),op(e0,e2))
& e1 = op(e0,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(c_0_24,plain,
( epred1_0
<=> ( ( op(e0,op(e0,e0)) = op(e0,e0)
& op(e0,op(e1,e0)) = op(e1,e0)
& op(e0,op(e2,e0)) = op(e2,e0)
& op(e0,op(e3,e0)) = op(e3,e0) )
| ( op(e1,op(e0,e1)) = op(e0,e1)
& op(e1,op(e1,e1)) = op(e1,e1)
& op(e1,op(e2,e1)) = op(e2,e1)
& op(e1,op(e3,e1)) = op(e3,e1) )
| ( op(e2,op(e0,e2)) = op(e0,e2)
& op(e2,op(e1,e2)) = op(e1,e2)
& op(e2,op(e2,e2)) = op(e2,e2)
& op(e2,op(e3,e2)) = op(e3,e2) ) ) ),
introduced(definition) ).
fof(c_0_25,axiom,
( op(op(e0,e0),e0) = e0
& op(op(e0,e1),e0) = e1
& op(op(e0,e2),e0) = e2
& op(op(e0,e3),e0) = e3
& op(op(e1,e0),e1) = e0
& op(op(e1,e1),e1) = e1
& op(op(e1,e2),e1) = e2
& op(op(e1,e3),e1) = e3
& op(op(e2,e0),e2) = e0
& op(op(e2,e1),e2) = e1
& op(op(e2,e2),e2) = e2
& op(op(e2,e3),e2) = e3
& op(op(e3,e0),e3) = e0
& op(op(e3,e1),e3) = e1
& op(op(e3,e2),e3) = e2
& op(op(e3,e3),e3) = e3
& ( epred1_0
| ( op(e3,op(e0,e3)) = op(e0,e3)
& op(e3,op(e1,e3)) = op(e1,e3)
& op(e3,op(e2,e3)) = op(e2,e3)
& op(e3,op(e3,e3)) = op(e3,e3) ) ) ),
inference(apply_def,[status(thm)],[ax5,c_0_24]) ).
fof(c_0_26,plain,
( op(op(e0,e0),e0) = e0
& op(op(e0,e1),e0) = e1
& op(op(e0,e2),e0) = e2
& op(op(e0,e3),e0) = e3
& op(op(e1,e0),e1) = e0
& op(op(e1,e1),e1) = e1
& op(op(e1,e2),e1) = e2
& op(op(e1,e3),e1) = e3
& op(op(e2,e0),e2) = e0
& op(op(e2,e1),e2) = e1
& op(op(e2,e2),e2) = e2
& op(op(e2,e3),e2) = e3
& op(op(e3,e0),e3) = e0
& op(op(e3,e1),e3) = e1
& op(op(e3,e2),e3) = e2
& op(op(e3,e3),e3) = e3
& ( op(e3,op(e0,e3)) = op(e0,e3)
| epred1_0 )
& ( op(e3,op(e1,e3)) = op(e1,e3)
| epred1_0 )
& ( op(e3,op(e2,e3)) = op(e2,e3)
| epred1_0 )
& ( op(e3,op(e3,e3)) = op(e3,e3)
| epred1_0 ) ),
inference(distribute,[status(thm)],[c_0_25]) ).
fof(c_0_27,plain,
( e1 != op(op(e2,e3),op(e2,e3))
| e0 != op(e2,e3) ),
inference(fof_nnf,[status(thm)],[ax17]) ).
cnf(c_0_28,plain,
op(op(e3,e0),e3) = e0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_29,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_30,plain,
op(op(e0,e0),e0) = e0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_32,plain,
( e1 != op(op(e2,e3),op(e2,e3))
| e0 != op(e2,e3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2
| op(e2,e3) = e0 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| op(e3,e0) = e0 ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_36,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e0,e0) != e1 ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
op(op(e2,e0),e2) = e0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
( op(e0,e0) = e0
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_34]),c_0_35]),c_0_36]) ).
cnf(c_0_39,plain,
op(op(e2,e2),e2) = e2,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_40,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,plain,
op(op(e1,e0),e1) = e0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_42,plain,
( op(e0,e0) = e0
| op(e1,e0) = e2
| op(e0,e0) = e2
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,plain,
op(op(e2,e1),e2) = e1,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_44,plain,
( op(e0,e2) = e2
| op(e0,e0) = e2
| op(e0,e0) = e0
| op(e2,e1) = e0 ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_45,plain,
( e3 != op(op(e2,e1),op(e2,e1))
| e0 != op(e2,e1) ),
inference(fof_nnf,[status(thm)],[ax27]) ).
cnf(c_0_46,plain,
op(op(e0,e2),e0) = e2,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_47,plain,
( op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,plain,
( e3 != op(op(e2,e1),op(e2,e1))
| e0 != op(e2,e1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_49,plain,
( op(e0,e2) = e1
| op(e0,e0) = e2
| op(e0,e0) = e0
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,plain,
( op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e0,e0) != e3 ),
inference(spm,[status(thm)],[c_0_48,c_0_44]) ).
cnf(c_0_51,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_52,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_53,plain,
op(e0,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_54,plain,
( op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e2) = e1
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_37,c_0_49]) ).
cnf(c_0_55,plain,
op(op(e0,e3),e0) = e3,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_56,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_57,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_58,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_59,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| op(e0,e2) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_31]),c_0_51]),c_0_52]) ).
cnf(c_0_60,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_61,plain,
( op(e0,e2) = e1
| op(e0,e0) = e2
| op(e0,e0) = e0
| op(e0,e2) != e0 ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,plain,
( op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_63,plain,
( e0 != op(op(e2,e3),op(e2,e3))
| e1 != op(e2,e3) ),
inference(fof_nnf,[status(thm)],[ax11]) ).
cnf(c_0_64,plain,
op(op(e3,e1),e3) = e1,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_65,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_66,plain,
( op(e0,e0) = e0
| op(e0,e0) = e2
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_34]),c_0_58]) ).
cnf(c_0_67,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_46,c_0_59]) ).
cnf(c_0_68,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_69,plain,
( op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e2) = e2
| op(e0,e1) != e0 ),
inference(spm,[status(thm)],[c_0_60,c_0_44]) ).
cnf(c_0_70,plain,
( op(e0,e0) = e3
| op(e0,e1) = e0
| op(e0,e0) = e0
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_58]) ).
cnf(c_0_71,plain,
( e0 != op(op(e2,e3),op(e2,e3))
| e1 != op(e2,e3) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_72,plain,
( op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_73,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_74,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_75,plain,
( op(e0,e2) = e2
| op(e0,e0) = e2
| op(e0,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_50]) ).
cnf(c_0_76,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) != e0 ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,plain,
( op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_41,c_0_73]) ).
cnf(c_0_78,plain,
( op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_79,plain,
op(e3,e0) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_80,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_81,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_82,plain,
( op(e0,e0) = e0
| op(e0,e0) = e2
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_46,c_0_75]) ).
cnf(c_0_83,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e0
| op(e2,e1) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_35]),c_0_78]) ).
cnf(c_0_84,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_85,plain,
( e0 != op(op(e2,e1),op(e2,e1))
| e3 != op(e2,e1) ),
inference(fof_nnf,[status(thm)],[ax6]) ).
cnf(c_0_86,plain,
( op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_87,plain,
( op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3
| op(e3,e0) = e3 ),
inference(spm,[status(thm)],[c_0_55,c_0_81]) ).
cnf(c_0_88,plain,
( op(e0,e0) = e2
| op(e0,e0) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_37,c_0_82]) ).
cnf(c_0_89,plain,
( op(e0,e0) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_43,c_0_83]) ).
fof(c_0_90,plain,
( e2 != op(op(e3,e1),op(e3,e1))
| e0 != op(e3,e1) ),
inference(fof_nnf,[status(thm)],[ax21]) ).
cnf(c_0_91,plain,
( op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[c_0_55,c_0_84]) ).
cnf(c_0_92,plain,
( e0 != op(op(e2,e1),op(e2,e1))
| e3 != op(e2,e1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_93,plain,
( op(e0,e0) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3 ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_94,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e3,e3) = e0 ),
inference(spm,[status(thm)],[c_0_28,c_0_87]) ).
cnf(c_0_95,plain,
( op(e0,e0) = e1
| op(e0,e0) = e0
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_58]) ).
cnf(c_0_96,plain,
( e2 != op(op(e3,e1),op(e3,e1))
| e0 != op(e3,e1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_97,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e3,e1) = e0 ),
inference(spm,[status(thm)],[c_0_41,c_0_91]) ).
cnf(c_0_98,plain,
op(op(e1,e1),e1) = e1,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_99,plain,
( op(e1,e1) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_100,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e2,e0) = e0 ),
inference(spm,[status(thm)],[c_0_30,c_0_95]) ).
cnf(c_0_101,plain,
( op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1
| op(e0,e0) != e2 ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_102,plain,
op(op(e1,e3),e1) = e3,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_103,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_104,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_105,plain,
( op(e0,e0) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e3,e1) = e1 ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_106,plain,
( op(e0,e0) = e1
| op(e0,e0) = e0
| op(e0,e2) = e0 ),
inference(spm,[status(thm)],[c_0_37,c_0_100]) ).
cnf(c_0_107,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_95]),c_0_68]) ).
cnf(c_0_108,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_109,plain,
( op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_110,plain,
( op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e0) = e3
| op(e0,e1) != e1 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_111,plain,
( op(e0,e1) = e1
| op(e0,e0) = e0
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_58]) ).
cnf(c_0_112,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_113,plain,
op(op(e3,e3),e3) = e3,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_114,plain,
( op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3
| op(e3,e3) = e0 ),
inference(spm,[status(thm)],[c_0_28,c_0_108]) ).
fof(c_0_115,plain,
( e1 != op(op(e2,e0),op(e2,e0))
| e3 != op(e2,e0) ),
inference(fof_nnf,[status(thm)],[ax12]) ).
cnf(c_0_116,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_79,c_0_109]) ).
cnf(c_0_117,plain,
( op(e0,e0) = e1
| op(e0,e0) = e0
| op(e0,e0) = e3
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).
fof(c_0_118,plain,
( e1 != op(op(e3,e2),op(e3,e2))
| e0 != op(e3,e2) ),
inference(fof_nnf,[status(thm)],[ax15]) ).
cnf(c_0_119,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e0,e3) = e3 ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
fof(c_0_120,plain,
( e0 != op(op(e1,e2),op(e1,e2))
| e3 != op(e1,e2) ),
inference(fof_nnf,[status(thm)],[ax8]) ).
cnf(c_0_121,plain,
( e1 != op(op(e2,e0),op(e2,e0))
| e3 != op(e2,e0) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_122,plain,
( op(e2,e0) = e3
| op(e0,e0) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[c_0_116,c_0_108]) ).
cnf(c_0_123,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e3,e3) = e1 ),
inference(spm,[status(thm)],[c_0_64,c_0_109]) ).
cnf(c_0_124,plain,
( op(e0,e0) = e3
| op(e0,e0) = e0
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_117]),c_0_51]) ).
cnf(c_0_125,plain,
( e1 != op(op(e3,e2),op(e3,e2))
| e0 != op(e3,e2) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_126,plain,
( op(e0,e3) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_37,c_0_119]) ).
cnf(c_0_127,plain,
( e0 != op(op(e1,e2),op(e1,e2))
| e3 != op(e1,e2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_128,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e0,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]) ).
cnf(c_0_129,plain,
( op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_124]),c_0_112]),c_0_51]),c_0_52]) ).
cnf(c_0_130,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e0,e3) = e3
| op(e0,e0) != e1 ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_131,plain,
op(op(e2,e3),e2) = e3,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_132,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3
| op(e3,e3) != e0 ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_133,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0 ),
inference(spm,[status(thm)],[c_0_30,c_0_129]) ).
cnf(c_0_134,plain,
( op(e0,e0) = e0
| op(e0,e3) = e3
| op(e1,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_129]),c_0_112]) ).
cnf(c_0_135,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e1,e2) = e3 ),
inference(spm,[status(thm)],[c_0_131,c_0_72]) ).
cnf(c_0_136,plain,
( op(e2,e0) = e3
| op(e1,e0) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_132,c_0_114]) ).
cnf(c_0_137,plain,
( op(e0,e3) = e3
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_51]) ).
cnf(c_0_138,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_139,plain,
( op(e1,e2) = e3
| op(e1,e1) = e2
| op(e0,e1) = e2
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_43,c_0_135]) ).
cnf(c_0_140,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_37,c_0_136]) ).
cnf(c_0_141,plain,
op(e1,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_142,plain,
( op(e0,e0) = e0
| op(e3,e0) = e3 ),
inference(spm,[status(thm)],[c_0_55,c_0_137]) ).
cnf(c_0_143,plain,
( op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_55,c_0_138]) ).
cnf(c_0_144,plain,
op(e1,e1) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_145,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e1,e2) = e3
| op(e1,e2) = e2 ),
inference(spm,[status(thm)],[c_0_39,c_0_139]) ).
cnf(c_0_146,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e0,e0) != e1 ),
inference(spm,[status(thm)],[c_0_125,c_0_140]) ).
cnf(c_0_147,plain,
( op(e0,e0) = e0
| op(e1,e0) != e3 ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_148,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_37,c_0_143]) ).
cnf(c_0_149,plain,
( op(e1,e2) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2
| op(e1,e1) != e3 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_150,plain,
( op(e0,e0) = e0
| op(e1,e1) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_129]),c_0_112]),c_0_147]) ).
cnf(c_0_151,plain,
( op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) != e1 ),
inference(spm,[status(thm)],[c_0_125,c_0_148]) ).
fof(c_0_152,plain,
( e0 != op(op(e3,e1),op(e3,e1))
| e2 != op(e3,e1) ),
inference(fof_nnf,[status(thm)],[ax7]) ).
cnf(c_0_153,plain,
op(op(e1,e2),e1) = e2,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_154,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_155,plain,
( op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[c_0_28,c_0_57]) ).
cnf(c_0_156,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_157,plain,
op(e0,e2) != op(e1,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_158,plain,
( op(e0,e0) = e0
| op(e0,e1) = e2
| op(e1,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_52]) ).
cnf(c_0_159,plain,
( op(e0,e0) = e0
| op(e0,e1) = e2
| op(e0,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_129]),c_0_68]) ).
cnf(c_0_160,plain,
( e0 != op(op(e3,e1),op(e3,e1))
| e2 != op(e3,e1) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_161,plain,
( op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0
| op(e3,e1) = e2 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_162,plain,
op(op(e3,e2),e3) = e2,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_163,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_164,plain,
( op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3
| op(e3,e3) = e1 ),
inference(spm,[status(thm)],[c_0_64,c_0_80]) ).
cnf(c_0_165,plain,
( op(e1,e3) = e0
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e1,e2) = e0 ),
inference(spm,[status(thm)],[c_0_37,c_0_155]) ).
cnf(c_0_166,plain,
( op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_37,c_0_156]) ).
cnf(c_0_167,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0 ),
inference(spm,[status(thm)],[c_0_41,c_0_133]) ).
cnf(c_0_168,plain,
( op(e0,e1) = e2
| op(e0,e0) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]) ).
cnf(c_0_169,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_170,plain,
( op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
fof(c_0_171,plain,
( e0 != op(op(e3,e2),op(e3,e2))
| e1 != op(e3,e2) ),
inference(fof_nnf,[status(thm)],[ax9]) ).
cnf(c_0_172,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e1,e3) = e3 ),
inference(spm,[status(thm)],[c_0_113,c_0_164]) ).
cnf(c_0_173,plain,
( op(e1,e2) = e0
| op(e1,e0) = e1
| op(e0,e0) = e1
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_102,c_0_165]) ).
cnf(c_0_174,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_162,c_0_166]) ).
cnf(c_0_175,plain,
op(e0,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_176,plain,
op(e0,e0) = e0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_35]) ).
cnf(c_0_177,plain,
( op(e0,e3) = e2
| op(e0,e2) = e0
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_178,plain,
( op(e0,e3) = e2
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e2 ),
inference(spm,[status(thm)],[c_0_39,c_0_170]) ).
cnf(c_0_179,plain,
( e0 != op(op(e3,e2),op(e3,e2))
| e1 != op(e3,e2) ),
inference(split_conjunct,[status(thm)],[c_0_171]) ).
cnf(c_0_180,plain,
( op(e1,e3) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3
| op(e3,e2) = e1 ),
inference(spm,[status(thm)],[c_0_43,c_0_172]) ).
cnf(c_0_181,plain,
( op(e0,e1) = e3
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_153,c_0_173]) ).
cnf(c_0_182,plain,
( op(e0,e3) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_37,c_0_174]) ).
cnf(c_0_183,plain,
op(e2,e0) != e0,
inference(rw,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_184,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e0,e2) = e0
| op(e0,e3) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_177]),c_0_178]) ).
cnf(c_0_185,plain,
op(e0,e0) != op(e0,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_186,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e1,e3) = e3
| op(e1,e1) != e0 ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_187,plain,
( op(e0,e1) = e2
| op(e0,e0) = e1
| op(e0,e1) = e3
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_41,c_0_181]) ).
cnf(c_0_188,plain,
op(e1,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_189,plain,
( op(e2,e2) = e0
| op(e2,e0) = e1
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_190,plain,
( op(e0,e3) = e2
| op(e0,e2) = e0
| op(e1,e2) = e0
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_153,c_0_184]) ).
cnf(c_0_191,plain,
op(e0,e2) != e0,
inference(rw,[status(thm)],[c_0_185,c_0_176]) ).
cnf(c_0_192,plain,
( op(e0,e0) = e1
| op(e0,e1) = e2
| op(e1,e3) = e3
| op(e0,e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_51]) ).
cnf(c_0_193,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
fof(c_0_194,plain,
( e3 != op(op(e2,e0),op(e2,e0))
| e1 != op(e2,e0) ),
inference(fof_nnf,[status(thm)],[ax25]) ).
cnf(c_0_195,plain,
( op(e0,e3) = e2
| op(e2,e0) = e1
| op(e1,e2) != e0 ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_196,plain,
( op(e1,e1) = e2
| op(e1,e2) = e0
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_197,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e0) = e1
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_102,c_0_192]) ).
cnf(c_0_198,plain,
( op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0
| op(e3,e1) = e0 ),
inference(spm,[status(thm)],[c_0_41,c_0_193]) ).
cnf(c_0_199,plain,
op(e0,e0) != op(e1,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_200,plain,
( e3 != op(op(e2,e0),op(e2,e0))
| e1 != op(e2,e0) ),
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_201,plain,
( op(e1,e1) = e2
| op(e2,e0) = e1
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_202,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_136]),c_0_51]),c_0_112]),c_0_52]) ).
cnf(c_0_203,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_204,plain,
( op(e0,e0) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e3,e3) = e1 ),
inference(spm,[status(thm)],[c_0_64,c_0_197]) ).
cnf(c_0_205,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_64,c_0_198]) ).
cnf(c_0_206,plain,
op(e1,e0) != e0,
inference(rw,[status(thm)],[c_0_199,c_0_176]) ).
cnf(c_0_207,plain,
( op(e0,e3) = e2
| op(e1,e1) = e2
| op(e1,e1) != e3 ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_208,plain,
( op(e0,e3) = e2
| op(e1,e0) = e3
| op(e1,e1) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_176]),c_0_51]) ).
cnf(c_0_209,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e0) = e1
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_210,plain,
( op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e0) = e3
| op(e1,e3) = e1 ),
inference(spm,[status(thm)],[c_0_64,c_0_105]) ).
cnf(c_0_211,plain,
( op(e3,op(e3,e3)) = op(e3,e3)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_212,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_213,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_214,plain,
( op(e0,e3) = e1
| op(e1,e0) = e2
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_215,plain,
( op(e1,e0) = e3
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_52]) ).
fof(c_0_216,plain,
( e1 != op(op(e0,e2),op(e0,e2))
| e3 != op(e0,e2) ),
inference(fof_nnf,[status(thm)],[ax14]) ).
cnf(c_0_217,plain,
( op(e0,e1) = e2
| op(e0,e1) = e3
| op(e1,e3) != e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_176]),c_0_58]) ).
cnf(c_0_218,plain,
( op(e1,e3) = e1
| op(e0,e2) = e3
| op(e0,e1) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_176]),c_0_51]) ).
cnf(c_0_219,plain,
( op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_220,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_221,plain,
op(e3,e0) != e0,
inference(rw,[status(thm)],[c_0_213,c_0_176]) ).
cnf(c_0_222,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_223,plain,
( op(e0,e3) = e2
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_52]),c_0_112]) ).
cnf(c_0_224,plain,
( e1 != op(op(e0,e2),op(e0,e2))
| e3 != op(e0,e2) ),
inference(split_conjunct,[status(thm)],[c_0_216]) ).
cnf(c_0_225,plain,
( op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_226,plain,
( op(e3,e3) = e1
| op(e0,e1) = e3
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_176]),c_0_58]) ).
cnf(c_0_227,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e0,e3) = e2
| epred1_0 ),
inference(spm,[status(thm)],[c_0_162,c_0_219]) ).
cnf(c_0_228,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_229,plain,
( op(e0,e3) = e1
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_230,plain,
op(op(e0,e1),e0) = e1,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_231,plain,
( op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]) ).
cnf(c_0_232,plain,
( op(e0,e3) = e2
| op(e3,e0) = e0
| op(e0,e3) = e1
| epred1_0 ),
inference(spm,[status(thm)],[c_0_64,c_0_227]) ).
cnf(c_0_233,plain,
( op(e3,e0) = e1
| op(e3,e0) = e2
| op(e1,e0) != e3 ),
inference(spm,[status(thm)],[c_0_141,c_0_228]) ).
cnf(c_0_234,plain,
( op(e1,e0) = e3
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_55,c_0_229]) ).
cnf(c_0_235,plain,
( op(e0,e1) = e2
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
fof(c_0_236,plain,
( e2 != op(op(e3,e0),op(e3,e0))
| e1 != op(e3,e0) ),
inference(fof_nnf,[status(thm)],[ax19]) ).
cnf(c_0_237,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_28,c_0_232]) ).
cnf(c_0_238,plain,
( op(e3,e0) = e2
| op(e3,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235]) ).
fof(c_0_239,plain,
( e2 != op(op(e0,e3),op(e0,e3))
| e1 != op(e0,e3) ),
inference(fof_nnf,[status(thm)],[ax22]) ).
cnf(c_0_240,plain,
( e2 != op(op(e3,e0),op(e3,e0))
| e1 != op(e3,e0) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_241,plain,
( op(e3,op(e0,e3)) = op(e0,e3)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_242,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e2,e0) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_237]) ).
cnf(c_0_243,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3
| op(e3,e1) = e2 ),
inference(spm,[status(thm)],[c_0_153,c_0_128]) ).
cnf(c_0_244,plain,
( op(e0,e3) = e1
| op(e1,e0) = e1
| op(e1,e0) = e0
| op(e2,e1) = e0 ),
inference(spm,[status(thm)],[c_0_41,c_0_205]) ).
cnf(c_0_245,plain,
op(e2,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_246,plain,
( op(e3,e0) = e1
| op(e2,e3) = e0 ),
inference(spm,[status(thm)],[c_0_28,c_0_238]) ).
cnf(c_0_247,plain,
( e2 != op(op(e0,e3),op(e0,e3))
| e1 != op(e0,e3) ),
inference(split_conjunct,[status(thm)],[c_0_239]) ).
cnf(c_0_248,plain,
( op(e0,e1) = e2
| op(e1,e1) != e2 ),
inference(spm,[status(thm)],[c_0_240,c_0_235]) ).
cnf(c_0_249,plain,
( op(e1,e1) = e2
| op(e0,e2) = e0
| op(e0,e3) = e2
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_153,c_0_190]) ).
cnf(c_0_250,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e3,e2) = e2
| epred1_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_237]) ).
cnf(c_0_251,plain,
( op(e0,e3) = e1
| op(e0,e3) = e0
| op(e3,e2) = e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_37,c_0_242]) ).
cnf(c_0_252,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e2,e3) = e1 ),
inference(spm,[status(thm)],[c_0_64,c_0_243]) ).
cnf(c_0_253,plain,
( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_43,c_0_244]) ).
fof(c_0_254,plain,
( e2 != op(op(e0,e1),op(e0,e1))
| e3 != op(e0,e1) ),
inference(fof_nnf,[status(thm)],[ax20]) ).
cnf(c_0_255,plain,
( op(e2,e3) = e0
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_256,plain,
op(e1,e1) != e2,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_229]),c_0_248]) ).
cnf(c_0_257,plain,
( op(e0,e1) = e2
| op(e0,e3) = e2
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[c_0_249,c_0_191]) ).
cnf(c_0_258,plain,
( op(e0,e3) = e1
| op(e0,e3) = e0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_35]) ).
cnf(c_0_259,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3
| op(e1,e1) != e0 ),
inference(spm,[status(thm)],[c_0_71,c_0_252]) ).
cnf(c_0_260,plain,
( op(e0,e2) = e1
| op(e0,e3) = e1
| op(e1,e0) = e0
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_41,c_0_253]) ).
fof(c_0_261,plain,
( e2 != op(op(e1,e0),op(e1,e0))
| e3 != op(e1,e0) ),
inference(fof_nnf,[status(thm)],[ax18]) ).
cnf(c_0_262,plain,
( e2 != op(op(e0,e1),op(e0,e1))
| e3 != op(e0,e1) ),
inference(split_conjunct,[status(thm)],[c_0_254]) ).
cnf(c_0_263,plain,
( op(e0,e2) = e3
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_131,c_0_255]) ).
cnf(c_0_264,plain,
( op(e0,e3) = e2
| op(e2,e0) = e1 ),
inference(sr,[status(thm)],[c_0_201,c_0_256]) ).
cnf(c_0_265,plain,
( op(e0,e3) = e2
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_248,c_0_257]) ).
cnf(c_0_266,plain,
( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_267,plain,
( op(e0,e3) = e0
| op(e1,e0) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_258]) ).
cnf(c_0_268,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_269,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e1) != e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_259,c_0_176]),c_0_51]) ).
cnf(c_0_270,plain,
( op(e1,e1) = e0
| op(e0,e3) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[c_0_260,c_0_206]) ).
cnf(c_0_271,plain,
( e2 != op(op(e1,e0),op(e1,e0))
| e3 != op(e1,e0) ),
inference(split_conjunct,[status(thm)],[c_0_261]) ).
cnf(c_0_272,plain,
( op(e0,e1) = e2
| op(e3,e3) != e2 ),
inference(spm,[status(thm)],[c_0_262,c_0_231]) ).
cnf(c_0_273,plain,
( op(e0,e3) = e2
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_274,plain,
( op(e0,e1) = e2
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_55,c_0_265]) ).
cnf(c_0_275,plain,
( op(e3,e2) = e1
| op(e3,e0) = e1
| op(e3,e1) = e1
| epred1_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_266]) ).
cnf(c_0_276,plain,
( op(e0,e3) = e0
| op(e3,e1) = e1
| epred1_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_258]) ).
cnf(c_0_277,plain,
( op(e0,e3) = e0
| op(e3,e1) = e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_41,c_0_267]) ).
cnf(c_0_278,plain,
( op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1
| op(e1,e3) = e1 ),
inference(spm,[status(thm)],[c_0_64,c_0_268]) ).
cnf(c_0_279,plain,
( op(e0,e2) = e1
| op(e0,e3) = e1
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[c_0_253,c_0_206]) ).
cnf(c_0_280,plain,
( op(e0,e2) = e1
| op(e0,e3) = e1
| op(e1,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_51]) ).
cnf(c_0_281,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_282,plain,
op(e3,e3) != e2,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_234]),c_0_272]) ).
cnf(c_0_283,plain,
( op(e0,e2) = e3
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_222,c_0_273]) ).
cnf(c_0_284,plain,
( op(e0,e1) = e2
| op(e3,e3) != e1 ),
inference(spm,[status(thm)],[c_0_121,c_0_274]) ).
cnf(c_0_285,plain,
( op(e3,e1) = e1
| op(e3,e0) = e1
| op(e1,e3) = e2
| epred1_0 ),
inference(spm,[status(thm)],[c_0_162,c_0_275]) ).
cnf(c_0_286,plain,
( op(e0,e3) = e0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_58]) ).
cnf(c_0_287,plain,
( op(e1,e3) = e1
| op(e0,e1) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1 ),
inference(spm,[status(thm)],[c_0_43,c_0_278]) ).
cnf(c_0_288,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_112]) ).
cnf(c_0_289,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
fof(c_0_290,plain,
( e1 != op(op(e0,e3),op(e0,e3))
| e2 != op(e0,e3) ),
inference(fof_nnf,[status(thm)],[ax16]) ).
cnf(c_0_291,plain,
( op(e3,e3) = e3
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(sr,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_292,plain,
op(e3,e3) != e1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_283]),c_0_284]) ).
cnf(c_0_293,plain,
( op(e1,e3) = e2
| op(e3,e0) = e1
| op(e1,e3) = e1
| epred1_0 ),
inference(spm,[status(thm)],[c_0_64,c_0_285]) ).
cnf(c_0_294,plain,
( op(e3,e0) = e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_286]) ).
cnf(c_0_295,plain,
( op(e1,e2) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_102,c_0_287]) ).
cnf(c_0_296,plain,
( op(e0,e2) = e1
| op(e0,e1) != e1 ),
inference(spm,[status(thm)],[c_0_222,c_0_288]) ).
cnf(c_0_297,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_298,plain,
op(e0,e0) != op(e0,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_299,plain,
( op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_79,c_0_268]) ).
cnf(c_0_300,plain,
( op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_230,c_0_289]) ).
cnf(c_0_301,plain,
( e1 != op(op(e0,e3),op(e0,e3))
| e2 != op(e0,e3) ),
inference(split_conjunct,[status(thm)],[c_0_290]) ).
cnf(c_0_302,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_303,plain,
( op(e3,e3) = e0
| op(e3,e3) = e3 ),
inference(sr,[status(thm)],[c_0_291,c_0_292]) ).
cnf(c_0_304,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_305,plain,
op(e1,e1) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_306,plain,
( op(e0,e1) = e2
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[c_0_28,c_0_235]) ).
cnf(c_0_307,plain,
( op(e1,e3) = e1
| op(e1,e3) = e2
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_58]) ).
cnf(c_0_308,plain,
( op(e1,e1) = e3
| op(e0,e1) = e1
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_153,c_0_295]) ).
cnf(c_0_309,plain,
op(e0,e1) != e1,
inference(spm,[status(thm)],[c_0_74,c_0_296]) ).
cnf(c_0_310,plain,
( op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2
| op(e2,e1) = e0
| op(e0,e1) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_65]),c_0_35]),c_0_76]) ).
cnf(c_0_311,plain,
op(e0,e1) != e0,
inference(rw,[status(thm)],[c_0_298,c_0_176]) ).
cnf(c_0_312,plain,
( op(e0,e1) = e0
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_313,plain,
( op(e0,e1) = e2
| op(e2,e2) != e1 ),
inference(spm,[status(thm)],[c_0_301,c_0_265]) ).
cnf(c_0_314,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_315,plain,
( op(e3,e3) = e0
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_302,c_0_303]) ).
cnf(c_0_316,plain,
( op(e3,e0) = e2
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_46,c_0_283]) ).
cnf(c_0_317,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e1,e3) = e3
| op(e1,e3) = e2 ),
inference(spm,[status(thm)],[c_0_162,c_0_180]) ).
cnf(c_0_318,plain,
( op(e0,e3) = e1
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_55,c_0_223]) ).
cnf(c_0_319,plain,
( op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_102,c_0_304]) ).
cnf(c_0_320,plain,
op(e1,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_321,plain,
( op(e3,e1) = e0
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_41,c_0_234]) ).
cnf(c_0_322,plain,
( op(e0,e1) = e2
| op(e1,e1) != e0 ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_323,plain,
( op(e3,op(e1,e3)) = op(e1,e3)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_324,plain,
( op(e1,e3) = e1
| op(e2,e1) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_307]) ).
cnf(c_0_325,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_326,plain,
( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e3 ),
inference(sr,[status(thm)],[c_0_308,c_0_309]) ).
cnf(c_0_327,plain,
( op(e2,e1) = e0
| op(e0,e1) = e2
| op(e2,e1) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_310,c_0_311]),c_0_248]) ).
cnf(c_0_328,plain,
( op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_312,c_0_311]),c_0_309]) ).
cnf(c_0_329,plain,
( op(e0,e1) = e2
| op(e1,e2) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_139,c_0_256]),c_0_313]) ).
cnf(c_0_330,plain,
( op(e2,e3) != e0
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_314,c_0_315]) ).
cnf(c_0_331,plain,
( op(e2,e3) = e0
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_28,c_0_316]) ).
cnf(c_0_332,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_333,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_273]),c_0_68]) ).
cnf(c_0_334,plain,
( op(e1,e3) = e2
| op(e1,e1) = e3
| op(e0,e1) = e3
| op(e3,e1) = e3 ),
inference(spm,[status(thm)],[c_0_102,c_0_317]) ).
cnf(c_0_335,plain,
op(e1,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_336,plain,
( op(e0,e3) = e1
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_37,c_0_318]) ).
cnf(c_0_337,plain,
( op(e0,e1) = e3
| op(e1,e1) = e0
| op(e1,e2) = e0 ),
inference(sr,[status(thm)],[c_0_319,c_0_206]) ).
cnf(c_0_338,plain,
op(e1,e1) != e0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_322]) ).
cnf(c_0_339,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
fof(c_0_340,plain,
( e1 != op(op(e3,e0),op(e3,e0))
| e2 != op(e3,e0) ),
inference(fof_nnf,[status(thm)],[ax13]) ).
cnf(c_0_341,plain,
op(e2,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_342,plain,
( op(e0,e1) = e2
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_37,c_0_274]) ).
cnf(c_0_343,plain,
( op(e1,e3) = e1
| op(e3,e2) = e2
| epred1_0 ),
inference(spm,[status(thm)],[c_0_323,c_0_307]) ).
cnf(c_0_344,plain,
( op(e1,e3) = e1
| op(e3,e2) = e1
| epred1_0 ),
inference(spm,[status(thm)],[c_0_43,c_0_324]) ).
cnf(c_0_345,plain,
( op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e0) != e3 ),
inference(spm,[status(thm)],[c_0_325,c_0_326]) ).
cnf(c_0_346,plain,
( op(e1,e1) = e1
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_58]),c_0_68]) ).
cnf(c_0_347,plain,
( op(e0,e1) = e2
| op(e3,e3) != e0 ),
inference(spm,[status(thm)],[c_0_127,c_0_329]) ).
cnf(c_0_348,plain,
( op(e0,e3) != e3
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_330,c_0_331]) ).
cnf(c_0_349,plain,
( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| op(e3,e2) = e2 ),
inference(spm,[status(thm)],[c_0_39,c_0_332]) ).
cnf(c_0_350,plain,
( op(e0,e2) = e1
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_74,c_0_333]) ).
cnf(c_0_351,plain,
( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e1,e3) = e2
| op(e3,e3) = e1 ),
inference(spm,[status(thm)],[c_0_64,c_0_334]) ).
cnf(c_0_352,plain,
( op(e0,e3) = e1
| op(e1,e2) != e0 ),
inference(spm,[status(thm)],[c_0_335,c_0_336]) ).
cnf(c_0_353,plain,
( op(e1,e2) = e0
| op(e0,e1) = e3 ),
inference(sr,[status(thm)],[c_0_337,c_0_338]) ).
cnf(c_0_354,plain,
op(e2,e0) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_355,plain,
( op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2
| op(e2,e2) = e3 ),
inference(spm,[status(thm)],[c_0_131,c_0_339]) ).
cnf(c_0_356,plain,
( e1 != op(op(e3,e0),op(e3,e0))
| e2 != op(e3,e0) ),
inference(split_conjunct,[status(thm)],[c_0_340]) ).
cnf(c_0_357,plain,
op(e2,e2) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_358,plain,
( op(e0,e1) = e2
| op(e2,e2) != e0 ),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_359,plain,
op(e0,e2) != op(e0,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_360,plain,
( op(e1,e3) = e1
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_68]) ).
cnf(c_0_361,plain,
( op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1
| op(e1,e3) = e3 ),
inference(spm,[status(thm)],[c_0_113,c_0_266]) ).
cnf(c_0_362,plain,
op(e1,e1) = e1,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_234]),c_0_256]),c_0_346]) ).
cnf(c_0_363,plain,
( op(e3,e3) = e0
| op(e1,e3) != e3 ),
inference(spm,[status(thm)],[c_0_203,c_0_303]) ).
cnf(c_0_364,plain,
op(e0,e3) != e3,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_315]),c_0_348]) ).
cnf(c_0_365,plain,
op(e0,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_366,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e3) = e2 ),
inference(spm,[status(thm)],[c_0_162,c_0_349]) ).
cnf(c_0_367,plain,
( op(e1,e0) = e2
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_46,c_0_350]) ).
cnf(c_0_368,plain,
( op(e1,e3) = e2
| op(e1,e1) = e3
| op(e0,e1) = e3
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_302,c_0_351]) ).
cnf(c_0_369,plain,
( op(e0,e1) = e3
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_352,c_0_353]) ).
cnf(c_0_370,plain,
( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e0) != e3 ),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
cnf(c_0_371,plain,
( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_53,c_0_332]) ).
cnf(c_0_372,plain,
op(e2,e2) != e1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_316]),c_0_313]) ).
cnf(c_0_373,plain,
op(e2,e2) != e0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_331]),c_0_358]) ).
cnf(c_0_374,plain,
( op(e0,e3) = e1
| op(e0,e2) != e2 ),
inference(spm,[status(thm)],[c_0_359,c_0_223]) ).
cnf(c_0_375,plain,
( op(e3,e1) = e1
| epred1_0 ),
inference(spm,[status(thm)],[c_0_323,c_0_360]) ).
cnf(c_0_376,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_377,plain,
( op(e1,e3) = e3
| op(e3,e0) = e1
| op(e3,e1) = e1
| op(e1,e3) = e2 ),
inference(spm,[status(thm)],[c_0_162,c_0_361]) ).
cnf(c_0_378,plain,
op(e3,e1) != e1,
inference(rw,[status(thm)],[c_0_320,c_0_362]) ).
cnf(c_0_379,plain,
op(e1,e3) != e3,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_363]),c_0_364]) ).
cnf(c_0_380,plain,
( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_365,c_0_366]) ).
cnf(c_0_381,plain,
( op(e0,e3) = e2
| op(e0,e1) != e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_367]),c_0_52]) ).
cnf(c_0_382,plain,
op(e1,e2) != op(e1,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_383,plain,
( op(e0,e1) = e3
| op(e1,e3) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_368,c_0_362]),c_0_112]),c_0_369]) ).
cnf(c_0_384,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_143]),c_0_52]) ).
cnf(c_0_385,plain,
( op(e0,e2) = e1
| op(e2,e2) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_333]),c_0_372]),c_0_373]) ).
cnf(c_0_386,plain,
( op(e0,e2) != e1
| op(e0,e2) != e2 ),
inference(spm,[status(thm)],[c_0_359,c_0_374]) ).
cnf(c_0_387,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_388,plain,
( op(e0,e1) = e2
| op(e3,e1) = e2 ),
inference(spm,[status(thm)],[c_0_153,c_0_329]) ).
fof(c_0_389,plain,
( e3 != op(op(e0,e2),op(e0,e2))
| e1 != op(e0,e2) ),
inference(fof_nnf,[status(thm)],[ax28]) ).
cnf(c_0_390,plain,
( epred1_0
| op(e0,e1) != e1 ),
inference(spm,[status(thm)],[c_0_104,c_0_375]) ).
cnf(c_0_391,plain,
op(e1,e3) != op(e2,e3),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_392,plain,
( op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2
| op(e2,e3) = e2 ),
inference(spm,[status(thm)],[c_0_162,c_0_376]) ).
cnf(c_0_393,plain,
( op(e1,e3) = e2
| op(e3,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_377,c_0_378]),c_0_379]) ).
cnf(c_0_394,plain,
( op(e2,e2) = e2
| op(e0,e1) != e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_381]),c_0_372]),c_0_373]) ).
cnf(c_0_395,plain,
( op(e0,e1) = e3
| op(e1,e2) != e2 ),
inference(spm,[status(thm)],[c_0_382,c_0_383]) ).
cnf(c_0_396,plain,
( op(e2,e1) = e2
| op(e2,e2) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_384,c_0_176]),c_0_35]) ).
cnf(c_0_397,plain,
op(e0,e2) != e2,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_385]),c_0_386]) ).
cnf(c_0_398,plain,
( op(e0,e1) = e2
| op(e2,e1) != e2 ),
inference(spm,[status(thm)],[c_0_387,c_0_388]) ).
fof(c_0_399,plain,
( epred1_0
=> ( ( op(e0,op(e0,e0)) = op(e0,e0)
& op(e0,op(e1,e0)) = op(e1,e0)
& op(e0,op(e2,e0)) = op(e2,e0)
& op(e0,op(e3,e0)) = op(e3,e0) )
| ( op(e1,op(e0,e1)) = op(e0,e1)
& op(e1,op(e1,e1)) = op(e1,e1)
& op(e1,op(e2,e1)) = op(e2,e1)
& op(e1,op(e3,e1)) = op(e3,e1) )
| ( op(e2,op(e0,e2)) = op(e0,e2)
& op(e2,op(e1,e2)) = op(e1,e2)
& op(e2,op(e2,e2)) = op(e2,e2)
& op(e2,op(e3,e2)) = op(e3,e2) ) ) ),
inference(split_equiv,[status(thm)],[c_0_24]) ).
cnf(c_0_400,plain,
( e3 != op(op(e0,e2),op(e0,e2))
| e1 != op(e0,e2) ),
inference(split_conjunct,[status(thm)],[c_0_389]) ).
cnf(c_0_401,plain,
( op(e0,e2) = e1
| op(e0,e0) = e1
| epred1_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_286]),c_0_58]),c_0_390]) ).
cnf(c_0_402,plain,
( op(e1,e1) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_360]) ).
cnf(c_0_403,plain,
( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_404,plain,
op(e1,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_405,plain,
( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_391,c_0_392]) ).
cnf(c_0_406,plain,
( op(e1,e3) = e2
| op(e0,e1) != e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_393]),c_0_68]) ).
cnf(c_0_407,plain,
op(e1,e2) != e2,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_394]),c_0_395]) ).
cnf(c_0_408,plain,
( op(e0,e1) = e2
| op(e2,e2) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_396,c_0_397]),c_0_398]) ).
fof(c_0_409,plain,
( ( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| ~ epred1_0 )
& ( op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| ~ epred1_0 )
& ( op(e2,op(e2,e2)) = op(e2,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| ~ epred1_0 )
& ( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| ~ epred1_0 )
& ( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| ~ epred1_0 )
& ( op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| ~ epred1_0 )
& ( op(e2,op(e2,e2)) = op(e2,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| ~ epred1_0 )
& ( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| ~ epred1_0 )
& ( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| ~ epred1_0 )
& ( op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| ~ epred1_0 )
& ( op(e2,op(e2,e2)) = op(e2,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| ~ epred1_0 )
& ( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| ~ epred1_0 )
& ( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| ~ epred1_0 )
& ( op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| ~ epred1_0 )
& ( op(e2,op(e2,e2)) = op(e2,e2)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| ~ epred1_0 )
& ( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e0,e0)) = op(e0,e0)
| ~ epred1_0 )
& ( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 )
& ( op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 )
& ( op(e2,op(e2,e2)) = op(e2,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 )
& ( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 )
& ( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 )
& ( op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 )
& ( op(e2,op(e2,e2)) = op(e2,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 )
& ( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 )
& ( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 )
& ( op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 )
& ( op(e2,op(e2,e2)) = op(e2,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 )
& ( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 )
& ( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 )
& ( op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 )
& ( op(e2,op(e2,e2)) = op(e2,e2)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 )
& ( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 )
& ( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e2,e0)) = op(e2,e0)
| ~ epred1_0 )
& ( op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e2,e0)) = op(e2,e0)
| ~ epred1_0 )
& ( op(e2,op(e2,e2)) = op(e2,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e2,e0)) = op(e2,e0)
| ~ epred1_0 )
& ( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e2,e0)) = op(e2,e0)
| ~ epred1_0 )
& ( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e2,e0)) = op(e2,e0)
| ~ epred1_0 )
& ( op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e2,e0)) = op(e2,e0)
| ~ epred1_0 )
& ( op(e2,op(e2,e2)) = op(e2,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e2,e0)) = op(e2,e0)
| ~ epred1_0 )
& ( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e2,e0)) = op(e2,e0)
| ~ epred1_0 )
& ( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e2,e0)) = op(e2,e0)
| ~ epred1_0 )
& ( op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e2,e0)) = op(e2,e0)
| ~ epred1_0 )
& ( op(e2,op(e2,e2)) = op(e2,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e2,e0)) = op(e2,e0)
| ~ epred1_0 )
& ( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e2,e0)) = op(e2,e0)
| ~ epred1_0 )
& ( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e2,e0)) = op(e2,e0)
| ~ epred1_0 )
& ( op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e2,e0)) = op(e2,e0)
| ~ epred1_0 )
& ( op(e2,op(e2,e2)) = op(e2,e2)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e2,e0)) = op(e2,e0)
| ~ epred1_0 )
& ( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e2,e0)) = op(e2,e0)
| ~ epred1_0 )
& ( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e3,e0)) = op(e3,e0)
| ~ epred1_0 )
& ( op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e3,e0)) = op(e3,e0)
| ~ epred1_0 )
& ( op(e2,op(e2,e2)) = op(e2,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e3,e0)) = op(e3,e0)
| ~ epred1_0 )
& ( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e3,e0)) = op(e3,e0)
| ~ epred1_0 )
& ( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e3,e0)) = op(e3,e0)
| ~ epred1_0 )
& ( op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e3,e0)) = op(e3,e0)
| ~ epred1_0 )
& ( op(e2,op(e2,e2)) = op(e2,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e3,e0)) = op(e3,e0)
| ~ epred1_0 )
& ( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e1,e1)) = op(e1,e1)
| op(e0,op(e3,e0)) = op(e3,e0)
| ~ epred1_0 )
& ( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e3,e0)) = op(e3,e0)
| ~ epred1_0 )
& ( op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e3,e0)) = op(e3,e0)
| ~ epred1_0 )
& ( op(e2,op(e2,e2)) = op(e2,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e3,e0)) = op(e3,e0)
| ~ epred1_0 )
& ( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e3,e0)) = op(e3,e0)
| ~ epred1_0 )
& ( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e3,e0)) = op(e3,e0)
| ~ epred1_0 )
& ( op(e2,op(e1,e2)) = op(e1,e2)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e3,e0)) = op(e3,e0)
| ~ epred1_0 )
& ( op(e2,op(e2,e2)) = op(e2,e2)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e3,e0)) = op(e3,e0)
| ~ epred1_0 )
& ( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e3,e1)) = op(e3,e1)
| op(e0,op(e3,e0)) = op(e3,e0)
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_399])]) ).
cnf(c_0_410,plain,
( op(e0,e0) = e3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_286]) ).
cnf(c_0_411,plain,
( op(e0,e0) = e1
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_401]),c_0_402]) ).
cnf(c_0_412,plain,
( op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0
| op(e3,e2) = e1 ),
inference(spm,[status(thm)],[c_0_43,c_0_403]) ).
cnf(c_0_413,plain,
op(e2,e1) != e1,
inference(rw,[status(thm)],[c_0_404,c_0_362]) ).
cnf(c_0_414,plain,
op(e2,e1) != op(e2,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_415,plain,
op(e2,e2) = e2,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_406]),c_0_397]),c_0_407]),c_0_408]) ).
cnf(c_0_416,plain,
( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_409]) ).
cnf(c_0_417,plain,
epred1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_411]),c_0_112]) ).
cnf(c_0_418,plain,
( op(e3,e2) = e1
| op(e2,e1) = e0
| op(e2,e1) = e2 ),
inference(sr,[status(thm)],[c_0_412,c_0_413]) ).
cnf(c_0_419,plain,
op(e2,e1) != e2,
inference(rw,[status(thm)],[c_0_414,c_0_415]) ).
cnf(c_0_420,plain,
( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_409]) ).
cnf(c_0_421,plain,
( op(e3,e3) = e0
| op(e2,e3) != e3 ),
inference(spm,[status(thm)],[c_0_314,c_0_303]) ).
cnf(c_0_422,plain,
( op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e3,e2)) = op(e3,e2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_416,c_0_417])]) ).
cnf(c_0_423,plain,
op(e3,e0) != op(e3,e2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_424,plain,
( op(e2,e1) = e0
| op(e3,e2) = e1 ),
inference(sr,[status(thm)],[c_0_418,c_0_419]) ).
cnf(c_0_425,plain,
( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3
| op(e1,e2) != e0 ),
inference(spm,[status(thm)],[c_0_335,c_0_140]) ).
cnf(c_0_426,plain,
( op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e2,e1)) = op(e2,e1)
| op(e2,op(e0,e2)) = op(e0,e2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_420,c_0_417])]) ).
cnf(c_0_427,plain,
op(e2,e3) != e3,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_421]),c_0_364]) ).
cnf(c_0_428,plain,
( op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_342]),c_0_183]) ).
cnf(c_0_429,plain,
( op(e2,e1) = e0
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_423,c_0_424]) ).
cnf(c_0_430,plain,
( op(e3,e0) = e1
| op(e1,e0) != e2 ),
inference(spm,[status(thm)],[c_0_141,c_0_238]) ).
cnf(c_0_431,plain,
( op(e2,op(e3,e2)) = op(e3,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_409]) ).
cnf(c_0_432,plain,
( op(e1,e1) = e3
| op(e1,e0) = e3
| op(e1,e2) != e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_425,c_0_176]),c_0_51]) ).
cnf(c_0_433,plain,
( op(e1,op(e2,e1)) = op(e2,e1)
| op(e0,op(e1,e0)) = op(e1,e0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_283]),c_0_427]),c_0_428]) ).
cnf(c_0_434,plain,
( op(e2,e1) = e0
| op(e1,e0) != e2 ),
inference(spm,[status(thm)],[c_0_429,c_0_430]) ).
cnf(c_0_435,plain,
( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_409]) ).
cnf(c_0_436,plain,
( op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e2,op(e3,e2)) = op(e3,e2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_431,c_0_417])]) ).
cnf(c_0_437,plain,
( op(e0,e2) = e1
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_288]),c_0_68]) ).
cnf(c_0_438,plain,
( op(e1,e0) = e3
| op(e1,e2) != e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_432,c_0_362]),c_0_112]) ).
cnf(c_0_439,plain,
( op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,e0) != e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_434]),c_0_206]) ).
cnf(c_0_440,plain,
op(e1,e0) != e1,
inference(rw,[status(thm)],[c_0_325,c_0_362]) ).
cnf(c_0_441,plain,
( op(e2,op(e0,e2)) = op(e0,e2)
| op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e1,e0)) = op(e1,e0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_435,c_0_417])]) ).
cnf(c_0_442,plain,
( op(e1,op(e0,e1)) = op(e0,e1)
| op(e0,op(e1,e0)) = op(e1,e0)
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_342]),c_0_183]) ).
cnf(c_0_443,plain,
( op(e0,e1) = e2
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_46,c_0_437]) ).
cnf(c_0_444,plain,
( op(e0,e1) = e3
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[c_0_438,c_0_353]) ).
cnf(c_0_445,plain,
op(e0,e1) != e3,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_367]),c_0_397]) ).
cnf(c_0_446,plain,
( op(e1,e0) = e2
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[c_0_214,c_0_440]) ).
cnf(c_0_447,plain,
( op(e0,op(e1,e0)) = op(e1,e0)
| op(e1,op(e0,e1)) = op(e0,e1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_283]),c_0_427]),c_0_442]) ).
cnf(c_0_448,plain,
op(e0,e1) = e2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_443]),c_0_397]) ).
cnf(c_0_449,plain,
op(e1,e0) = e3,
inference(sr,[status(thm)],[c_0_444,c_0_445]) ).
cnf(c_0_450,plain,
op(e0,e3) = e1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_446]),c_0_397]) ).
cnf(c_0_451,plain,
$false,
inference(sr,[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_447,c_0_448]),c_0_448]),c_0_407]),c_0_449]),c_0_450]),c_0_449]),c_0_112]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.20 % Problem : ALG130+1 : TPTP v9.2.1. Released v2.7.0.
% 0.02/0.20 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.12/0.42 % Computer : n018.cluster.edu
% 0.12/0.42 % Model : x86_64 x86_64
% 0.12/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.42 % Memory : 8042.1875MB
% 0.12/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.42 % CPULimit : 300
% 0.12/0.42 % WCLimit : 300
% 0.12/0.42 % DateTime : Tue May 5 10:23:17 EDT 2026
% 0.12/0.44 % CPUTime :
% 0.14/0.46 % start to proof: theBenchmark
% 6.16/5.53 % Version : CSE_E---1.7
% 6.16/5.53 % Problem : theBenchmark.p
% 6.16/5.53 % SZS status Unsatisfiable for theBenchmark.p
% 6.16/5.53 % SZS output start CNFRefutation
% See solution above
% 6.16/5.55 % Total time : 4.391s
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