%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG139+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 : n010.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 11:53:14 AM UTC 2026
% Result : Unsatisfiable 1.55s 0.75s
% Output : CNFRefutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 18
% Syntax : Number of formulae : 240 ( 44 unt; 0 def)
% Number of atoms : 1353 (1352 equ)
% Maximal formula atoms : 256 ( 5 avg)
% Number of connectives : 1649 ( 536 ~; 784 |; 329 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 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,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e3) != e2
& op(e2,e2) = e3 )
| ( op(e3,e3) != e1
& op(e1,e1) = e3 )
| ( op(e3,e3) != e0
& op(e0,e0) = e3 ) )
& ( ( op(e2,e2) != e3
& op(e3,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e1
& op(e1,e1) = e2 )
| ( op(e2,e2) != e0
& op(e0,e0) = e2 ) )
& ( ( op(e1,e1) != e3
& op(e3,e3) = e1 )
| ( op(e1,e1) != e2
& op(e2,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e0
& op(e0,e0) = e1 ) )
& ( ( op(e0,e0) != e3
& op(e3,e3) = e0 )
| ( op(e0,e0) != e2
& op(e2,e2) = e0 )
| ( op(e0,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e0) != e0
& op(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(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(ax17,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,e2),e2) ),
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(ax23,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e2 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(ax20,axiom,
~ ( e3 = op(e0,e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e2 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
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(ax14,axiom,
~ ( e3 = op(e0,e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e1 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(ax15,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(op(e3,e3),op(e3,e3))
& e1 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(ax29,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(ax16,axiom,
~ ( e2 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e1 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(ax26,axiom,
~ ( e2 = op(e0,e0)
& e1 = op(op(e0,e0),op(e0,e0))
& e3 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(ax8,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(ax28,axiom,
~ ( e1 = op(e0,e0)
& e2 = op(op(e0,e0),op(e0,e0))
& e3 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(ax22,axiom,
~ ( e1 = op(e0,e0)
& e3 = op(op(e0,e0),op(e0,e0))
& e2 = op(op(e0,e0),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(ax12,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(op(e2,e2),op(e2,e2))
& e1 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(ax10,axiom,
~ ( e2 = op(e1,e1)
& e3 = op(op(e1,e1),op(e1,e1))
& e0 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(c_0_18,plain,
( ( ( op(e3,e3) != e3
& op(e3,e3) = e3 )
| ( op(e3,e3) != e2
& op(e2,e2) = e3 )
| ( op(e3,e3) != e1
& op(e1,e1) = e3 )
| ( op(e3,e3) != e0
& op(e0,e0) = e3 ) )
& ( ( op(e2,e2) != e3
& op(e3,e3) = e2 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2 )
| ( op(e2,e2) != e1
& op(e1,e1) = e2 )
| ( op(e2,e2) != e0
& op(e0,e0) = e2 ) )
& ( ( op(e1,e1) != e3
& op(e3,e3) = e1 )
| ( op(e1,e1) != e2
& op(e2,e2) = e1 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1 )
| ( op(e1,e1) != e0
& op(e0,e0) = e1 ) )
& ( ( op(e0,e0) != e3
& op(e3,e3) = e0 )
| ( op(e0,e0) != e2
& op(e2,e2) = e0 )
| ( op(e0,e0) != e1
& op(e1,e1) = e0 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0 ) ) ),
inference(fof_simplification,[status(thm)],[ax5]) ).
fof(c_0_19,plain,
( ( op(e3,e3) != e0
| op(e3,e3) != e1
| op(e3,e3) != e2
| op(e3,e3) != e3 )
& ( op(e3,e3) != e0
| op(e3,e3) != e1
| op(e3,e3) != e2
| op(e3,e3) = e3 )
& ( op(e3,e3) != e0
| op(e3,e3) != e1
| op(e2,e2) = e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e0
| op(e3,e3) != e1
| op(e2,e2) = e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e0
| op(e1,e1) = e3
| op(e3,e3) != e2
| op(e3,e3) != e3 )
& ( op(e3,e3) != e0
| op(e1,e1) = e3
| op(e3,e3) != e2
| op(e3,e3) = e3 )
& ( op(e3,e3) != e0
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) != e3 )
& ( op(e3,e3) != e0
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e0) = e3
| op(e3,e3) != e1
| op(e3,e3) != e2
| op(e3,e3) != e3 )
& ( op(e0,e0) = e3
| op(e3,e3) != e1
| op(e3,e3) != e2
| op(e3,e3) = e3 )
& ( op(e0,e0) = e3
| op(e3,e3) != e1
| op(e2,e2) = e3
| op(e3,e3) != e3 )
& ( op(e0,e0) = e3
| op(e3,e3) != e1
| op(e2,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e3,e3) != e2
| op(e3,e3) != e3 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e3,e3) != e2
| op(e3,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) != e3 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 )
& ( op(e2,e2) != e0
| op(e2,e2) != e1
| op(e2,e2) != e2
| op(e2,e2) != e3 )
& ( op(e2,e2) != e0
| op(e2,e2) != e1
| op(e2,e2) != e2
| op(e3,e3) = e2 )
& ( op(e2,e2) != e0
| op(e2,e2) != e1
| op(e2,e2) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) != e0
| op(e2,e2) != e1
| op(e2,e2) = e2
| op(e3,e3) = e2 )
& ( op(e2,e2) != e0
| op(e1,e1) = e2
| op(e2,e2) != e2
| op(e2,e2) != e3 )
& ( op(e2,e2) != e0
| op(e1,e1) = e2
| op(e2,e2) != e2
| op(e3,e3) = e2 )
& ( op(e2,e2) != e0
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) != e0
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e0) = e2
| op(e2,e2) != e1
| op(e2,e2) != e2
| op(e2,e2) != e3 )
& ( op(e0,e0) = e2
| op(e2,e2) != e1
| op(e2,e2) != e2
| op(e3,e3) = e2 )
& ( op(e0,e0) = e2
| op(e2,e2) != e1
| op(e2,e2) = e2
| op(e2,e2) != e3 )
& ( op(e0,e0) = e2
| op(e2,e2) != e1
| op(e2,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) != e2
| op(e2,e2) != e3 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) != e2
| op(e3,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e2,e2) != e3 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 )
& ( op(e1,e1) != e0
| op(e1,e1) != e1
| op(e1,e1) != e2
| op(e1,e1) != e3 )
& ( op(e1,e1) != e0
| op(e1,e1) != e1
| op(e1,e1) != e2
| op(e3,e3) = e1 )
& ( op(e1,e1) != e0
| op(e1,e1) != e1
| op(e2,e2) = e1
| op(e1,e1) != e3 )
& ( op(e1,e1) != e0
| op(e1,e1) != e1
| op(e2,e2) = e1
| op(e3,e3) = e1 )
& ( op(e1,e1) != e0
| op(e1,e1) = e1
| op(e1,e1) != e2
| op(e1,e1) != e3 )
& ( op(e1,e1) != e0
| op(e1,e1) = e1
| op(e1,e1) != e2
| op(e3,e3) = e1 )
& ( op(e1,e1) != e0
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e1,e1) != e3 )
& ( op(e1,e1) != e0
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e1) != e1
| op(e1,e1) != e2
| op(e1,e1) != e3 )
& ( op(e0,e0) = e1
| op(e1,e1) != e1
| op(e1,e1) != e2
| op(e3,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e1) != e1
| op(e2,e2) = e1
| op(e1,e1) != e3 )
& ( op(e0,e0) = e1
| op(e1,e1) != e1
| op(e2,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) != e2
| op(e1,e1) != e3 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e1,e1) != e2
| op(e3,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e1,e1) != e3 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e0) != e0
| op(e0,e0) != e1
| op(e0,e0) != e2
| op(e0,e0) != e3 )
& ( op(e0,e0) != e0
| op(e0,e0) != e1
| op(e0,e0) != e2
| op(e3,e3) = e0 )
& ( op(e0,e0) != e0
| op(e0,e0) != e1
| op(e2,e2) = e0
| op(e0,e0) != e3 )
& ( op(e0,e0) != e0
| op(e0,e0) != e1
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e0) != e0
| op(e1,e1) = e0
| op(e0,e0) != e2
| op(e0,e0) != e3 )
& ( op(e0,e0) != e0
| op(e1,e1) = e0
| op(e0,e0) != e2
| op(e3,e3) = e0 )
& ( op(e0,e0) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e0,e0) != e3 )
& ( op(e0,e0) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e1
| op(e0,e0) != e2
| op(e0,e0) != e3 )
& ( op(e0,e0) = e0
| op(e0,e0) != e1
| op(e0,e0) != e2
| op(e3,e3) = e0 )
& ( op(e0,e0) = e0
| op(e0,e0) != e1
| op(e2,e2) = e0
| op(e0,e0) != e3 )
& ( op(e0,e0) = e0
| op(e0,e0) != e1
| op(e2,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e0,e0) != e2
| op(e0,e0) != e3 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e0,e0) != e2
| op(e3,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e0,e0) != e3 )
& ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
fof(c_0_20,plain,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_simplification,[status(thm)],[ax4]) ).
cnf(c_0_21,plain,
( op(e1,e1) != e1
| op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,plain,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
( op(e0,e0) != e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_25,plain,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(fof_nnf,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( op(e3,e3) != e0
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
( op(e3,e3) != e0
| op(e3,e3) != e3
| op(e1,e1) = e3
| op(e2,e2) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_28,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_29,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1 ),
inference(csr,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( op(e3,e3) != e0
| op(e1,e1) = e3
| op(e2,e2) = e3 ),
inference(csr,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_33,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_28]) ).
cnf(c_0_34,plain,
( op(e3,e3) != e3
| op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_35,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_36,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_37,plain,
( op(e1,e1) = e3
| op(e2,e2) = e3
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(spm,[status(thm)],[c_0_32,c_0_30]) ).
cnf(c_0_38,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_39,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_40,plain,
( op(e2,e2) != e2
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_41,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_42,plain,
op(e0,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_43,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(e2,e2),e2) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax17])]) ).
cnf(c_0_44,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3 ),
inference(csr,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_45,plain,
( op(e1,e1) = e0
| op(e0,e0) = e1
| op(e2,e2) = e0
| op(e1,e1) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_46,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e3) = e2 ),
inference(csr,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_48,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_49,plain,
( op(e0,e3) != e1
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_42,c_0_29]) ).
cnf(c_0_50,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_51,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e0,e0) = e1
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_38]) ).
cnf(c_0_53,plain,
( op(e2,e2) != e3
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_54,plain,
( op(e2,e2) != e2
| op(e2,e2) != e3
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_55,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_46]),c_0_47]) ).
cnf(c_0_56,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e1) = e0
| op(e2,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_30]),c_0_48]) ).
cnf(c_0_57,plain,
( op(e1,e1) != e2
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_58,plain,
( op(e1,e1) != e1
| op(e1,e1) != e2
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_59,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_60,plain,
( op(e0,e2) != e1
| op(e1,e1) = e3
| op(e0,e0) = e1
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_45]),c_0_52]) ).
cnf(c_0_61,plain,
( op(e2,e2) != e3
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_31]) ).
cnf(c_0_63,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_64,plain,
op(e2,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_65,plain,
( op(e1,e1) != e2
| op(e0,e0) = e1
| op(e3,e3) = e1 ),
inference(csr,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,plain,
( op(e0,e1) = e1
| op(e0,e0) = e1
| op(e1,e1) = e3
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_45]),c_0_31]),c_0_60]) ).
fof(c_0_67,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(e1,e1),e1) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])]) ).
cnf(c_0_68,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_61,c_0_44]) ).
cnf(c_0_69,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_52]),c_0_38]),c_0_63]) ).
fof(c_0_70,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])]) ).
cnf(c_0_71,plain,
op(e3,e0) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_72,plain,
( op(e2,e3) != e1
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_64,c_0_29]) ).
cnf(c_0_73,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_74,plain,
( op(e0,e0) = e1
| op(e3,e3) = e1
| op(e1,e1) = e0
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_65,c_0_62]) ).
cnf(c_0_75,plain,
op(e0,e0) != op(e0,e1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_76,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_77,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_78,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0
| op(e0,e1) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_66]),c_0_38]),c_0_63]) ).
cnf(c_0_79,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e2 != op(op(e1,e1),e1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_80,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_38]),c_0_48]) ).
cnf(c_0_81,plain,
( e3 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
fof(c_0_82,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax14])]) ).
cnf(c_0_83,plain,
( op(e2,e2) != e1
| op(e0,e0) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_84,plain,
( op(e2,e2) != e1
| op(e2,e2) != e2
| op(e0,e0) = e2
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_85,plain,
( op(e3,e0) != e1
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_71,c_0_29]) ).
cnf(c_0_86,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_87,plain,
op(e3,e1) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_88,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e2,e0) = e1
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_89,plain,
( op(e1,e1) = e0
| op(e2,e2) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_74]),c_0_31]) ).
cnf(c_0_90,plain,
( op(e0,e0) != e3
| op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_91,plain,
( op(e0,e1) != e0
| op(e0,e1) = e1
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_92,plain,
( op(e0,e1) != e2
| op(e0,e1) = e1
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_78]),c_0_80]) ).
cnf(c_0_93,plain,
( op(e3,e0) != e2
| op(e3,e3) != e1
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_81,c_0_80]) ).
cnf(c_0_94,plain,
op(e1,e0) != op(e1,e1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_95,plain,
( e3 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_96,plain,
( op(e2,e2) != e1
| op(e0,e0) = e2
| op(e3,e3) = e2 ),
inference(csr,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_97,plain,
( op(e2,e2) = e1
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1 ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_98,plain,
( op(e3,e1) != e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_87,c_0_46]) ).
cnf(c_0_99,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_100,plain,
op(e0,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_101,plain,
( op(e2,e1) = e1
| op(e2,e0) = e1
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_31]) ).
cnf(c_0_102,plain,
( op(e0,e1) = e1
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_80]),c_0_91]),c_0_92]) ).
cnf(c_0_103,plain,
( op(e3,e0) != e2
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0 ),
inference(spm,[status(thm)],[c_0_93,c_0_74]) ).
cnf(c_0_104,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_105,plain,
( op(e1,e0) != e2
| op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_94,c_0_62]) ).
cnf(c_0_106,plain,
op(e2,e0) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_107,plain,
( op(e3,e0) != e1
| op(e3,e3) != e2
| op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_95,c_0_80]) ).
cnf(c_0_108,plain,
( op(e0,e0) = e2
| op(e3,e3) = e2
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_109,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_110,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e1) = e2
| op(e2,e1) = e2 ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_111,plain,
( op(e3,e0) != e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_71,c_0_46]) ).
cnf(c_0_112,plain,
( op(e1,e1) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e2,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).
cnf(c_0_113,plain,
( op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e2,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_114,plain,
( op(e2,e0) != e1
| op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_106,c_0_55]) ).
cnf(c_0_115,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_86]) ).
cnf(c_0_116,plain,
( op(e2,e0) != e2
| op(e0,e1) = e2
| op(e0,e0) = e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_117,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_111,c_0_104]) ).
cnf(c_0_118,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_47]) ).
cnf(c_0_119,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| op(e1,e1) = e2
| op(e1,e0) = e1 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_120,plain,
( op(e1,e1) = e2
| op(e0,e0) = e2
| op(e0,e1) = e2
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_121,plain,
( op(e0,e1) != e2
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_118]),c_0_80]) ).
cnf(c_0_122,plain,
( op(e0,e0) != e2
| op(e0,e0) = e0
| op(e1,e1) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_123,plain,
( op(e0,e0) != e0
| op(e0,e0) != e2
| op(e1,e1) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_124,plain,
( op(e1,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_118]),c_0_48]) ).
cnf(c_0_125,plain,
( op(e1,e0) = e2
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_118]),c_0_48]),c_0_121]) ).
cnf(c_0_126,plain,
( op(e0,e0) != e2
| op(e1,e1) = e0
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_127,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_47]) ).
fof(c_0_128,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(e3,e3),e3) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])]) ).
cnf(c_0_129,plain,
( op(e1,e1) = e0
| op(e3,e3) = e0
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_130,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,e3),op(e3,e3))
| e1 != op(op(e3,e3),e3) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_131,plain,
op(e0,e2) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_132,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e1,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_129]),c_0_31]) ).
fof(c_0_133,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(op(e1,e1),e1) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])]) ).
cnf(c_0_134,plain,
( op(e0,e3) != e1
| op(e0,e0) = e1
| op(e1,e1) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_129]),c_0_127]) ).
cnf(c_0_135,plain,
( op(e0,e2) != e1
| op(e1,e1) = e0
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_136,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e3 != op(op(e1,e1),e1) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_137,plain,
( op(e1,e1) = e0
| op(e0,e0) = e1
| op(e0,e1) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_50]),c_0_135]) ).
fof(c_0_138,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])]) ).
cnf(c_0_139,plain,
( op(e0,e1) != e3
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_127]) ).
cnf(c_0_140,plain,
( op(e0,e1) != e0
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_77,c_0_137]) ).
cnf(c_0_141,plain,
( e2 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e1 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_142,plain,
( op(e3,e3) != e1
| op(e0,e0) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_143,plain,
( op(e3,e3) != e1
| op(e3,e3) != e3
| op(e0,e0) = e3
| op(e2,e2) = e3 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_144,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e1) = e1
| op(e2,e0) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_88]),c_0_39]) ).
cnf(c_0_145,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e1) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_76]),c_0_39]),c_0_140]) ).
cnf(c_0_146,plain,
( op(e2,e0) != e1
| op(e2,e2) != e3
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_141,c_0_127]) ).
cnf(c_0_147,plain,
( op(e3,e3) != e1
| op(e0,e0) = e3
| op(e2,e2) = e3 ),
inference(csr,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_148,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_149,plain,
( op(e1,e1) != e3
| op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_150,plain,
( op(e1,e1) != e1
| op(e1,e1) != e3
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_151,plain,
( op(e0,e1) != e1
| op(e0,e0) = e1
| op(e2,e0) = e1
| op(e1,e1) = e3
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_100,c_0_144]) ).
cnf(c_0_152,plain,
( op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_145]),c_0_127]) ).
cnf(c_0_153,plain,
( op(e2,e0) != e1
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_146,c_0_44]) ).
cnf(c_0_154,plain,
op(e2,e2) != op(e3,e2),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_155,plain,
( op(e0,e0) = e3
| op(e2,e2) = e3
| op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1 ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_156,plain,
( op(e1,e1) != e3
| op(e0,e0) = e1
| op(e2,e2) = e1 ),
inference(csr,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_157,plain,
( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]) ).
fof(c_0_158,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])]) ).
cnf(c_0_159,plain,
( op(e2,e2) != e1
| op(e3,e1) = e1
| op(e3,e0) = e1
| op(e2,e2) = e3
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_160,plain,
( op(e0,e0) = e1
| op(e2,e2) = e1
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_161,plain,
( e2 != op(e0,e0)
| e1 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_162,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_163,plain,
( op(e0,e0) = e3
| op(e3,e0) = e1
| op(e3,e1) = e1
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_39]) ).
cnf(c_0_164,plain,
( op(e2,e0) != e3
| op(e2,e2) != e1
| op(e0,e0) = e1 ),
inference(spm,[status(thm)],[c_0_161,c_0_127]) ).
cnf(c_0_165,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_166,plain,
( op(e0,e0) = e1
| op(e3,e0) = e1
| op(e0,e0) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_152]) ).
cnf(c_0_167,plain,
( op(e2,e0) != e3
| op(e0,e0) = e1
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_164,c_0_160]) ).
cnf(c_0_168,plain,
( op(e1,e0) != e3
| op(e0,e0) = e1
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_94,c_0_157]) ).
cnf(c_0_169,plain,
( op(e0,e0) = e3
| op(e0,e0) = e1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_39]),c_0_167]),c_0_168]) ).
cnf(c_0_170,plain,
( op(e0,e0) != e1
| op(e0,e0) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_171,plain,
( op(e0,e0) != e0
| op(e0,e0) != e1
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_172,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(e1,e1),e1) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax8])]) ).
fof(c_0_173,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_174,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_175,plain,
op(e0,e0) = e1,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_169]),c_0_63]),c_0_39]) ).
cnf(c_0_176,plain,
( op(e0,e0) != e1
| op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(csr,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_177,plain,
( e3 != op(e1,e1)
| e2 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(e1,e1),e1) ),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
fof(c_0_178,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).
cnf(c_0_179,plain,
( e1 != op(e0,e0)
| e2 != op(op(e0,e0),op(e0,e0))
| e3 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_180,plain,
( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_174]),c_0_48]) ).
cnf(c_0_181,plain,
( op(e1,e1) = e2
| op(e3,e3) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_175]),c_0_47]) ).
cnf(c_0_182,plain,
( op(e2,e2) = e0
| op(e3,e3) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_175])]) ).
cnf(c_0_183,plain,
( op(e3,e1) != e0
| op(e0,e0) = e3
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_68]),c_0_46]) ).
cnf(c_0_184,plain,
( e1 != op(e0,e0)
| e3 != op(op(e0,e0),op(e0,e0))
| e2 != op(op(e0,e0),e0) ),
inference(split_conjunct,[status(thm)],[c_0_178]) ).
cnf(c_0_185,plain,
op(e0,e0) != op(e1,e0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_186,plain,
( op(e1,e0) != e3
| op(e0,e0) = e3
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_94,c_0_68]) ).
cnf(c_0_187,plain,
( op(e1,e0) != e3
| op(e1,e1) != e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_175]),c_0_175]),c_0_175]),c_0_175])]) ).
cnf(c_0_188,plain,
( op(e2,e2) != e0
| op(e3,e1) = e0
| op(e3,e0) = e0
| op(e1,e1) = e2
| op(e0,e0) = e2 ),
inference(spm,[status(thm)],[c_0_154,c_0_180]) ).
cnf(c_0_189,plain,
( op(e1,e1) = e2
| op(e2,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_48]) ).
cnf(c_0_190,plain,
( op(e3,e1) != e0
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_175]),c_0_175]),c_0_47]),c_0_39]) ).
cnf(c_0_191,plain,
( op(e1,e0) != e2
| op(e1,e1) != e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_175]),c_0_175]),c_0_175]),c_0_175])]) ).
cnf(c_0_192,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_175]),c_0_175]),c_0_39]),c_0_47]) ).
cnf(c_0_193,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_194,plain,
op(e1,e0) != e1,
inference(rw,[status(thm)],[c_0_185,c_0_175]) ).
cnf(c_0_195,plain,
op(e1,e0) != e3,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_175]),c_0_175]),c_0_47]),c_0_39]),c_0_187]) ).
cnf(c_0_196,plain,
op(e1,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_197,plain,
( op(e1,e1) = e2
| op(e3,e0) = e0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_175]),c_0_47]),c_0_189]),c_0_190]) ).
fof(c_0_198,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(e2,e2),e2) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax12])]) ).
cnf(c_0_199,plain,
( op(e1,e0) != e2
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_200,plain,
( op(e1,e0) = e0
| op(e1,e0) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_193,c_0_194]),c_0_195]) ).
cnf(c_0_201,plain,
( op(e1,e0) != e0
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_202,plain,
( e3 != op(e2,e2)
| e0 != op(op(e2,e2),op(e2,e2))
| e1 != op(op(e2,e2),e2) ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_203,plain,
( op(e1,e1) = e3
| op(e2,e2) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_175]),c_0_39]) ).
cnf(c_0_204,plain,
op(e1,e1) = e2,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]) ).
cnf(c_0_205,plain,
op(e2,e1) != op(e2,e2),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_206,plain,
op(e1,e1) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_207,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_208,plain,
op(e0,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_209,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_210,plain,
op(e0,e0) != op(e3,e0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_211,plain,
( op(e3,e2) != e1
| op(e3,e3) != e0
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_202,c_0_44]) ).
cnf(c_0_212,plain,
op(e2,e2) = e3,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_204]),c_0_63]) ).
cnf(c_0_213,plain,
( op(e2,e1) != e3
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_205,c_0_44]) ).
cnf(c_0_214,plain,
( op(e1,e1) != e3
| op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_215,plain,
( op(e2,e0) != e3
| op(e0,e0) = e3
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_106,c_0_44]) ).
cnf(c_0_216,plain,
( op(e0,e0) != e3
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2 ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_217,plain,
op(e1,e0) != e2,
inference(rw,[status(thm)],[c_0_94,c_0_204]) ).
cnf(c_0_218,plain,
op(e3,e0) != e1,
inference(rw,[status(thm)],[c_0_210,c_0_175]) ).
cnf(c_0_219,plain,
( op(e3,e2) != e1
| op(e3,e3) != e0
| op(e1,e1) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_175]),c_0_39]) ).
cnf(c_0_220,plain,
op(e3,e3) = e0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_212]),c_0_38]) ).
cnf(c_0_221,plain,
( op(e0,e0) = e3
| op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_207]),c_0_214]) ).
cnf(c_0_222,plain,
( op(e1,e1) = e3
| op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_209]),c_0_216]) ).
cnf(c_0_223,plain,
op(e2,e0) != e1,
inference(rw,[status(thm)],[c_0_208,c_0_175]) ).
cnf(c_0_224,plain,
op(e1,e0) != op(e2,e0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_225,plain,
op(e1,e0) = e0,
inference(sr,[status(thm)],[c_0_200,c_0_217]) ).
cnf(c_0_226,plain,
( op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 ),
inference(sr,[status(thm)],[c_0_148,c_0_218]) ).
cnf(c_0_227,plain,
op(e3,e2) != e1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_204]),c_0_63]),c_0_220])]) ).
fof(c_0_228,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(e1,e1),e1) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax10])]) ).
cnf(c_0_229,plain,
( op(e2,e0) != e2
| op(e2,e1) = e1
| op(e2,e1) = e0
| op(e0,e0) = e3 ),
inference(spm,[status(thm)],[c_0_109,c_0_221]) ).
cnf(c_0_230,plain,
( op(e2,e0) = e2
| op(e2,e0) = e0
| op(e1,e1) = e3 ),
inference(sr,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_231,plain,
op(e2,e0) != e0,
inference(rw,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_232,plain,
op(e2,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_233,plain,
op(e3,e1) = e1,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_226,c_0_227]),c_0_220]),c_0_31]) ).
cnf(c_0_234,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,e1),op(e1,e1))
| e0 != op(op(e1,e1),e1) ),
inference(split_conjunct,[status(thm)],[c_0_228]) ).
cnf(c_0_235,plain,
( op(e2,e0) != e2
| op(e2,e1) = e0
| op(e2,e1) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_175]),c_0_39]) ).
cnf(c_0_236,plain,
op(e2,e0) = e2,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_204]),c_0_63]),c_0_231]) ).
cnf(c_0_237,plain,
op(e2,e1) != e1,
inference(rw,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_238,plain,
op(e2,e1) != e0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_204]),c_0_204]),c_0_204]),c_0_204])]),c_0_212])]) ).
cnf(c_0_239,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_236])]),c_0_237]),c_0_238]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG139+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 12:58:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 1.55/0.75 % Version: 3.5.1
% 1.55/0.75 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.55/0.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.55/0.75 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.55/0.75 % Starting new_bool_3 with 300s (1) cores
% 1.55/0.75 % Starting new_bool_1 with 300s (1) cores
% 1.55/0.75 % Starting sh5l with 300s (1) cores
% 1.55/0.75 % new_bool_3 with pid 923861 completed with status 9
% 1.55/0.75 % sh5l with pid 923863 completed with status 9
% 1.55/0.75 % new_bool_1 with pid 923862 completed with status 9
% 1.55/0.75 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 923860 completed with status 0
% 1.55/0.75 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.55/0.75 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.55/0.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.55/0.75 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.55/0.75 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.55/0.75 % No SInE strategy applied
% 1.55/0.75 % Search class: FGHPF-FSLM22-SFFFFFNN
% 1.55/0.75 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.55/0.75 % Starting SubtermCWHack with 136s (1) cores
% 1.55/0.75 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.55/0.75 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.55/0.75 % Starting new_bool_3 with 136s (1) cores
% 1.55/0.75 % Starting new_bool_1 with 136s (1) cores
% 1.55/0.75 % new_bool_1 with pid 923877 completed with status 0
% 1.55/0.75 % Result found by new_bool_1
% 1.55/0.75 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.55/0.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.55/0.75 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.55/0.75 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.55/0.75 % No SInE strategy applied
% 1.55/0.75 % Search class: FGHPF-FSLM22-SFFFFFNN
% 1.55/0.75 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.55/0.75 % Starting SubtermCWHack with 136s (1) cores
% 1.55/0.75 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.55/0.75 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.55/0.75 % Starting new_bool_3 with 136s (1) cores
% 1.55/0.75 % Starting new_bool_1 with 136s (1) cores
% 1.55/0.75 % Preprocessing time : 0.003 s
% 1.55/0.75 % Presaturation interreduction done
% 1.55/0.75
% 1.55/0.75 % Proof found!
% 1.55/0.75 % SZS status Unsatisfiable
% 1.55/0.75 % SZS output start CNFRefutation
% See solution above
% 1.55/0.75 % Parsed axioms : 29
% 1.55/0.75 % Removed by relevancy pruning/SinE : 0
% 1.55/0.75 % Initial clauses : 190
% 1.55/0.75 % Removed in clause preprocessing : 0
% 1.55/0.75 % Initial clauses in saturation : 190
% 1.55/0.75 % Processed clauses : 2746
% 1.55/0.75 % ...of these trivial : 75
% 1.55/0.75 % ...subsumed : 1390
% 1.55/0.75 % ...remaining for further processing : 1281
% 1.55/0.75 % Other redundant clauses eliminated : 0
% 1.55/0.75 % Clauses deleted for lack of memory : 0
% 1.55/0.75 % Backward-subsumed : 479
% 1.55/0.75 % Backward-rewritten : 542
% 1.55/0.75 % Generated clauses : 12182
% 1.55/0.75 % ...of the previous two non-redundant : 12106
% 1.55/0.75 % ...aggressively subsumed : 0
% 1.55/0.75 % Contextual simplify-reflections : 107
% 1.55/0.75 % Paramodulations : 11993
% 1.55/0.75 % Factorizations : 134
% 1.55/0.75 % NegExts : 0
% 1.55/0.75 % Equation resolutions : 0
% 1.55/0.75 % Disequality decompositions : 0
% 1.55/0.75 % Total rewrite steps : 725
% 1.55/0.75 % ...of those cached : 716
% 1.55/0.75 % Propositional unsat checks : 0
% 1.55/0.75 % Propositional check models : 0
% 1.55/0.75 % Propositional check unsatisfiable : 0
% 1.55/0.75 % Propositional clauses : 0
% 1.55/0.75 % Propositional clauses after purity: 0
% 1.55/0.75 % Propositional unsat core size : 0
% 1.55/0.75 % Propositional preprocessing time : 0.000
% 1.55/0.75 % Propositional encoding time : 0.000
% 1.55/0.75 % Propositional solver time : 0.000
% 1.55/0.75 % Success case prop preproc time : 0.000
% 1.55/0.75 % Success case prop encoding time : 0.000
% 1.55/0.75 % Success case prop solver time : 0.000
% 1.55/0.75 % Current number of processed clauses : 47
% 1.55/0.75 % Positive orientable unit clauses : 9
% 1.55/0.75 % Positive unorientable unit clauses: 0
% 1.55/0.75 % Negative unit clauses : 35
% 1.55/0.75 % Non-unit-clauses : 3
% 1.55/0.75 % Current number of unprocessed clauses: 9527
% 1.55/0.75 % ...number of literals in the above : 68336
% 1.55/0.75 % Current number of archived formulas : 0
% 1.55/0.75 % Current number of archived clauses : 1234
% 1.55/0.75 % Clause-clause subsumption calls (NU) : 28113
% 1.55/0.75 % Rec. Clause-clause subsumption calls : 2608
% 1.55/0.75 % Non-unit clause-clause subsumptions : 738
% 1.55/0.75 % Unit Clause-clause subsumption calls : 986
% 1.55/0.75 % Rewrite failures with RHS unbound : 0
% 1.55/0.75 % BW rewrite match attempts : 9
% 1.55/0.75 % BW rewrite match successes : 9
% 1.55/0.75 % Condensation attempts : 0
% 1.55/0.75 % Condensation successes : 0
% 1.55/0.75 % Termbank termtop insertions : 193256
% 1.55/0.75 % Search garbage collected termcells : 519
% 1.55/0.75
% 1.55/0.75 % -------------------------------------------------
% 1.55/0.75 % User time : 0.305 s
% 1.55/0.75 % System time : 0.015 s
% 1.55/0.75 % Total time : 0.320 s
% 1.55/0.75 % Maximum resident set size: 3644 pages
% 1.55/0.75
% 1.55/0.75 % -------------------------------------------------
% 1.55/0.75 % User time : 1.546 s
% 1.55/0.75 % System time : 0.118 s
% 1.55/0.75 % Total time : 1.663 s
% 1.55/0.75 % Maximum resident set size: 4864 pages
% 1.55/0.75 % E exiting
%------------------------------------------------------------------------------