%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG149+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 : Tue Sep 29 09:25:52 AM UTC 2026
% Result : Unsatisfiable 0.49s 0.30s
% Output : Refutation 0.49s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,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/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,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/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& ( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1 )
& ( op(e0,e2) != e0
| op(e0,e0) = e2 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3 )
& ( op(e1,e0) != e0
| op(e1,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e2) != e0
| op(e1,e0) = e2 )
& ( op(e1,e3) != e0
| op(e1,e0) = e3 )
& ( op(e2,e0) != e0
| op(e2,e0) = e0 )
& ( op(e2,e1) != e0
| op(e2,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e3) != e0
| op(e2,e0) = e3 )
& ( op(e3,e0) != e0
| op(e3,e0) = e0 )
& ( op(e3,e1) != e0
| op(e3,e0) = e1 )
& ( op(e3,e2) != e0
| op(e3,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ( ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e1) != e1
| op(e0,e1) = e1 )
& ( op(e0,e2) != e1
| op(e0,e1) = e2 )
& ( op(e0,e3) != e1
| op(e0,e1) = e3 )
& ( op(e1,e0) != e1
| op(e1,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e2) != e1
| op(e1,e1) = e2 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3 )
& ( op(e2,e0) != e1
| op(e2,e1) = e0 )
& ( op(e2,e1) != e1
| op(e2,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e3) != e1
| op(e2,e1) = e3 )
& ( op(e3,e0) != e1
| op(e3,e1) = e0 )
& ( op(e3,e1) != e1
| op(e3,e1) = e1 )
& ( op(e3,e2) != e1
| op(e3,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ( ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e1) != e2
| op(e0,e2) = e1 )
& ( op(e0,e2) != e2
| op(e0,e2) = e2 )
& ( op(e0,e3) != e2
| op(e0,e2) = e3 )
& ( op(e1,e0) != e2
| op(e1,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e2) != e2
| op(e1,e2) = e2 )
& ( op(e1,e3) != e2
| op(e1,e2) = e3 )
& ( op(e2,e0) != e2
| op(e2,e2) = e0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e3) != e2
| op(e2,e2) = e3 )
& ( op(e3,e0) != e2
| op(e3,e2) = e0 )
& ( op(e3,e1) != e2
| op(e3,e2) = e1 )
& ( op(e3,e2) != e2
| op(e3,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ( ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e1) != e3
| op(e0,e3) = e1 )
& ( op(e0,e2) != e3
| op(e0,e3) = e2 )
& ( op(e0,e3) != e3
| op(e0,e3) = e3 )
& ( op(e1,e0) != e3
| op(e1,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e2) != e3
| op(e1,e3) = e2 )
& ( op(e1,e3) != e3
| op(e1,e3) = e3 )
& ( op(e2,e0) != e3
| op(e2,e3) = e0 )
& ( op(e2,e1) != e3
| op(e2,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e3) != e3
| op(e2,e3) = e3 )
& ( op(e3,e0) != e3
| op(e3,e3) = e0 )
& ( op(e3,e1) != e3
| op(e3,e3) = e1 )
& ( op(e3,e2) != e3
| op(e3,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
~ ( e1 = op(op(op(e0,e0),e0),e0)
& e2 = op(op(e0,e0),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
~ ( e1 = op(op(op(e0,e0),e0),e0)
& e3 = op(op(e0,e0),e0)
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
~ ( e2 = op(op(op(e0,e0),e0),e0)
& e1 = op(op(e0,e0),e0)
& e3 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f9,axiom,
~ ( e2 = op(op(op(e0,e0),e0),e0)
& e3 = op(op(e0,e0),e0)
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f10,axiom,
~ ( e3 = op(op(op(e0,e0),e0),e0)
& e1 = op(op(e0,e0),e0)
& e2 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
~ ( e3 = op(op(op(e0,e0),e0),e0)
& e2 = op(op(e0,e0),e0)
& e1 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
~ ( e0 = op(op(op(e1,e1),e1),e1)
& e2 = op(op(e1,e1),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
~ ( e0 = op(op(op(e1,e1),e1),e1)
& e3 = op(op(e1,e1),e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
~ ( e2 = op(op(op(e1,e1),e1),e1)
& e0 = op(op(e1,e1),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
~ ( e2 = op(op(op(e1,e1),e1),e1)
& e3 = op(op(e1,e1),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
~ ( e3 = op(op(op(e1,e1),e1),e1)
& e0 = op(op(e1,e1),e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
~ ( e3 = op(op(op(e1,e1),e1),e1)
& e2 = op(op(e1,e1),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
~ ( e0 = op(op(op(e2,e2),e2),e2)
& e1 = op(op(e2,e2),e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f19,axiom,
~ ( e0 = op(op(op(e2,e2),e2),e2)
& e3 = op(op(e2,e2),e2)
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f20,axiom,
~ ( e1 = op(op(op(e2,e2),e2),e2)
& e0 = op(op(e2,e2),e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f21,axiom,
~ ( e1 = op(op(op(e2,e2),e2),e2)
& e3 = op(op(e2,e2),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f22,axiom,
~ ( e3 = op(op(op(e2,e2),e2),e2)
& e0 = op(op(e2,e2),e2)
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f23,axiom,
~ ( e3 = op(op(op(e2,e2),e2),e2)
& e1 = op(op(e2,e2),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f24,axiom,
~ ( e0 = op(op(op(e3,e3),e3),e3)
& e1 = op(op(e3,e3),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
~ ( e0 = op(op(op(e3,e3),e3),e3)
& e2 = op(op(e3,e3),e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f26,axiom,
~ ( e1 = op(op(op(e3,e3),e3),e3)
& e0 = op(op(e3,e3),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f27,axiom,
~ ( e1 = op(op(op(e3,e3),e3),e3)
& e2 = op(op(e3,e3),e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f28,axiom,
~ ( e2 = op(op(op(e3,e3),e3),e3)
& e0 = op(op(e3,e3),e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f29,axiom,
~ ( e2 = op(op(op(e3,e3),e3),e3)
& e1 = op(op(e3,e3),e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f30,plain,
( e1 != op(op(op(e0,e0),e0),e0)
| e2 != op(op(e0,e0),e0)
| op(e0,e0) != e3 ),
inference(ennf_transformation,[],[f6]) ).
fof(f31,plain,
( e1 != op(op(op(e0,e0),e0),e0)
| e3 != op(op(e0,e0),e0)
| op(e0,e0) != e2 ),
inference(ennf_transformation,[],[f7]) ).
fof(f32,plain,
( e2 != op(op(op(e0,e0),e0),e0)
| e1 != op(op(e0,e0),e0)
| op(e0,e0) != e3 ),
inference(ennf_transformation,[],[f8]) ).
fof(f33,plain,
( e2 != op(op(op(e0,e0),e0),e0)
| e3 != op(op(e0,e0),e0)
| op(e0,e0) != e1 ),
inference(ennf_transformation,[],[f9]) ).
fof(f34,plain,
( e3 != op(op(op(e0,e0),e0),e0)
| e1 != op(op(e0,e0),e0)
| op(e0,e0) != e2 ),
inference(ennf_transformation,[],[f10]) ).
fof(f35,plain,
( e3 != op(op(op(e0,e0),e0),e0)
| e2 != op(op(e0,e0),e0)
| op(e0,e0) != e1 ),
inference(ennf_transformation,[],[f11]) ).
fof(f36,plain,
( e0 != op(op(op(e1,e1),e1),e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f37,plain,
( e0 != op(op(op(e1,e1),e1),e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f38,plain,
( e2 != op(op(op(e1,e1),e1),e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f39,plain,
( e2 != op(op(op(e1,e1),e1),e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f40,plain,
( e3 != op(op(op(e1,e1),e1),e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f41,plain,
( e3 != op(op(op(e1,e1),e1),e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f42,plain,
( e0 != op(op(op(e2,e2),e2),e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f43,plain,
( e0 != op(op(op(e2,e2),e2),e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f44,plain,
( e1 != op(op(op(e2,e2),e2),e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f45,plain,
( e1 != op(op(op(e2,e2),e2),e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f46,plain,
( e3 != op(op(op(e2,e2),e2),e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f47,plain,
( e3 != op(op(op(e2,e2),e2),e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f48,plain,
( e0 != op(op(op(e3,e3),e3),e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f49,plain,
( e0 != op(op(op(e3,e3),e3),e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f50,plain,
( e1 != op(op(op(e3,e3),e3),e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(ennf_transformation,[],[f26]) ).
fof(f51,plain,
( e1 != op(op(op(e3,e3),e3),e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(ennf_transformation,[],[f27]) ).
fof(f52,plain,
( e2 != op(op(op(e3,e3),e3),e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(ennf_transformation,[],[f28]) ).
fof(f53,plain,
( e2 != op(op(op(e3,e3),e3),e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(ennf_transformation,[],[f29]) ).
fof(f54,definition,
( ( ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e1) != e3
| op(e0,e3) = e1 )
& ( op(e0,e2) != e3
| op(e0,e3) = e2 )
& ( op(e0,e3) != e3
| op(e0,e3) = e3 )
& ( op(e1,e0) != e3
| op(e1,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e2) != e3
| op(e1,e3) = e2 )
& ( op(e1,e3) != e3
| op(e1,e3) = e3 )
& ( op(e2,e0) != e3
| op(e2,e3) = e0 )
& ( op(e2,e1) != e3
| op(e2,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e3) != e3
| op(e2,e3) = e3 )
& ( op(e3,e0) != e3
| op(e3,e3) = e0 )
& ( op(e3,e1) != e3
| op(e3,e3) = e1 )
& ( op(e3,e2) != e3
| op(e3,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ( ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e1) != e2
| op(e0,e2) = e1 )
& ( op(e0,e2) != e2
| op(e0,e2) = e2 )
& ( op(e0,e3) != e2
| op(e0,e2) = e3 )
& ( op(e1,e0) != e2
| op(e1,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e2) != e2
| op(e1,e2) = e2 )
& ( op(e1,e3) != e2
| op(e1,e2) = e3 )
& ( op(e2,e0) != e2
| op(e2,e2) = e0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e3) != e2
| op(e2,e2) = e3 )
& ( op(e3,e0) != e2
| op(e3,e2) = e0 )
& ( op(e3,e1) != e2
| op(e3,e2) = e1 )
& ( op(e3,e2) != e2
| op(e3,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ( ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e1) != e1
| op(e0,e1) = e1 )
& ( op(e0,e2) != e1
| op(e0,e1) = e2 )
& ( op(e0,e3) != e1
| op(e0,e1) = e3 )
& ( op(e1,e0) != e1
| op(e1,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e2) != e1
| op(e1,e1) = e2 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3 )
& ( op(e2,e0) != e1
| op(e2,e1) = e0 )
& ( op(e2,e1) != e1
| op(e2,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e3) != e1
| op(e2,e1) = e3 )
& ( op(e3,e0) != e1
| op(e3,e1) = e0 )
& ( op(e3,e1) != e1
| op(e3,e1) = e1 )
& ( op(e3,e2) != e1
| op(e3,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1 )
& ( op(e0,e2) != e0
| op(e0,e0) = e2 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3 )
& ( op(e1,e0) != e0
| op(e1,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e2) != e0
| op(e1,e0) = e2 )
& ( op(e1,e3) != e0
| op(e1,e0) = e3 )
& ( op(e2,e0) != e0
| op(e2,e0) = e0 )
& ( op(e2,e1) != e0
| op(e2,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e3) != e0
| op(e2,e0) = e3 )
& ( op(e3,e0) != e0
| op(e3,e0) = e0 )
& ( op(e3,e1) != e0
| op(e3,e0) = e1 )
& ( op(e3,e2) != e0
| op(e3,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f58,plain,
( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& ( sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f5,f57,f56,f55,f54]) ).
fof(f59,plain,
( ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e1) != e0
| op(e0,e0) = e1 )
& ( op(e0,e2) != e0
| op(e0,e0) = e2 )
& ( op(e0,e3) != e0
| op(e0,e0) = e3 )
& ( op(e1,e0) != e0
| op(e1,e0) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e2) != e0
| op(e1,e0) = e2 )
& ( op(e1,e3) != e0
| op(e1,e0) = e3 )
& ( op(e2,e0) != e0
| op(e2,e0) = e0 )
& ( op(e2,e1) != e0
| op(e2,e0) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e3) != e0
| op(e2,e0) = e3 )
& ( op(e3,e0) != e0
| op(e3,e0) = e0 )
& ( op(e3,e1) != e0
| op(e3,e0) = e1 )
& ( op(e3,e2) != e0
| op(e3,e0) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f57]) ).
fof(f60,plain,
( ( ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e1) != e1
| op(e0,e1) = e1 )
& ( op(e0,e2) != e1
| op(e0,e1) = e2 )
& ( op(e0,e3) != e1
| op(e0,e1) = e3 )
& ( op(e1,e0) != e1
| op(e1,e1) = e0 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e2) != e1
| op(e1,e1) = e2 )
& ( op(e1,e3) != e1
| op(e1,e1) = e3 )
& ( op(e2,e0) != e1
| op(e2,e1) = e0 )
& ( op(e2,e1) != e1
| op(e2,e1) = e1 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e3) != e1
| op(e2,e1) = e3 )
& ( op(e3,e0) != e1
| op(e3,e1) = e0 )
& ( op(e3,e1) != e1
| op(e3,e1) = e1 )
& ( op(e3,e2) != e1
| op(e3,e1) = e2 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f56]) ).
fof(f61,plain,
( ( ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e1) != e2
| op(e0,e2) = e1 )
& ( op(e0,e2) != e2
| op(e0,e2) = e2 )
& ( op(e0,e3) != e2
| op(e0,e2) = e3 )
& ( op(e1,e0) != e2
| op(e1,e2) = e0 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e2) != e2
| op(e1,e2) = e2 )
& ( op(e1,e3) != e2
| op(e1,e2) = e3 )
& ( op(e2,e0) != e2
| op(e2,e2) = e0 )
& ( op(e2,e1) != e2
| op(e2,e2) = e1 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e3) != e2
| op(e2,e2) = e3 )
& ( op(e3,e0) != e2
| op(e3,e2) = e0 )
& ( op(e3,e1) != e2
| op(e3,e2) = e1 )
& ( op(e3,e2) != e2
| op(e3,e2) = e2 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f62,plain,
( ( ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e1) != e3
| op(e0,e3) = e1 )
& ( op(e0,e2) != e3
| op(e0,e3) = e2 )
& ( op(e0,e3) != e3
| op(e0,e3) = e3 )
& ( op(e1,e0) != e3
| op(e1,e3) = e0 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e2) != e3
| op(e1,e3) = e2 )
& ( op(e1,e3) != e3
| op(e1,e3) = e3 )
& ( op(e2,e0) != e3
| op(e2,e3) = e0 )
& ( op(e2,e1) != e3
| op(e2,e3) = e1 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e3) != e3
| op(e2,e3) = e3 )
& ( op(e3,e0) != e3
| op(e3,e3) = e0 )
& ( op(e3,e1) != e3
| op(e3,e3) = e1 )
& ( op(e3,e2) != e3
| op(e3,e3) = e2 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f54]) ).
fof(f63,plain,
( e0 = op(e3,e3)
| e1 = op(e3,e3)
| e2 = op(e3,e3)
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f64,plain,
( e0 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f65,plain,
( e0 = op(e3,e1)
| e1 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f66,plain,
( e0 = op(e3,e0)
| e1 = op(e3,e0)
| e2 = op(e3,e0)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f67,plain,
( e0 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f68,plain,
( e0 = op(e2,e2)
| e1 = op(e2,e2)
| e2 = op(e2,e2)
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f69,plain,
( e0 = op(e2,e1)
| e1 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f70,plain,
( e0 = op(e2,e0)
| e1 = op(e2,e0)
| e2 = op(e2,e0)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f71,plain,
( e0 = op(e1,e3)
| e1 = op(e1,e3)
| e2 = op(e1,e3)
| e3 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f72,plain,
( e0 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2)
| e3 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f73,plain,
( e0 = op(e1,e1)
| e1 = op(e1,e1)
| e2 = op(e1,e1)
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f74,plain,
( e0 = op(e1,e0)
| e1 = op(e1,e0)
| e2 = op(e1,e0)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f75,plain,
( e0 = op(e0,e3)
| e1 = op(e0,e3)
| e2 = op(e0,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f76,plain,
( e0 = op(e0,e2)
| e1 = op(e0,e2)
| e2 = op(e0,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f77,plain,
( e0 = op(e0,e1)
| e1 = op(e0,e1)
| e2 = op(e0,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f78,plain,
( e0 = op(e0,e0)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f1]) ).
fof(f79,plain,
( e3 = op(e0,e3)
| e3 = op(e1,e3)
| e3 = op(e2,e3)
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f80,plain,
( e3 = op(e3,e0)
| e3 = op(e3,e1)
| e3 = op(e3,e2)
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f81,plain,
( e2 = op(e0,e3)
| e2 = op(e1,e3)
| e2 = op(e2,e3)
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f83,plain,
( e1 = op(e0,e3)
| e1 = op(e1,e3)
| e1 = op(e2,e3)
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f84,plain,
( e1 = op(e3,e0)
| e1 = op(e3,e1)
| e1 = op(e3,e2)
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
( e0 = op(e0,e3)
| e0 = op(e1,e3)
| e0 = op(e2,e3)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
( e0 = op(e3,e0)
| e0 = op(e3,e1)
| e0 = op(e3,e2)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
( e3 = op(e0,e2)
| e3 = op(e1,e2)
| e3 = op(e2,e2)
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f88,plain,
( e3 = op(e2,e0)
| e3 = op(e2,e1)
| e3 = op(e2,e2)
| e3 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
( e2 = op(e0,e2)
| e2 = op(e1,e2)
| e2 = op(e2,e2)
| e2 = op(e3,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f91,plain,
( e1 = op(e0,e2)
| e1 = op(e1,e2)
| e1 = op(e2,e2)
| e1 = op(e3,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
( e1 = op(e2,e0)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
( e0 = op(e0,e2)
| e0 = op(e1,e2)
| e0 = op(e2,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
( e0 = op(e2,e0)
| e0 = op(e2,e1)
| e0 = op(e2,e2)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f95,plain,
( e3 = op(e0,e1)
| e3 = op(e1,e1)
| e3 = op(e2,e1)
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f96,plain,
( e3 = op(e1,e0)
| e3 = op(e1,e1)
| e3 = op(e1,e2)
| e3 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f97,plain,
( e2 = op(e0,e1)
| e2 = op(e1,e1)
| e2 = op(e2,e1)
| e2 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f98,plain,
( e2 = op(e1,e0)
| e2 = op(e1,e1)
| e2 = op(e1,e2)
| e2 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f99,plain,
( e1 = op(e0,e1)
| e1 = op(e1,e1)
| e1 = op(e2,e1)
| e1 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f100,plain,
( e1 = op(e1,e0)
| e1 = op(e1,e1)
| e1 = op(e1,e2)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f101,plain,
( e0 = op(e0,e1)
| e0 = op(e1,e1)
| e0 = op(e2,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f102,plain,
( e0 = op(e1,e0)
| e0 = op(e1,e1)
| e0 = op(e1,e2)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f103,plain,
( op(e0,e0) = e3
| e3 = op(e1,e0)
| e3 = op(e2,e0)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f104,plain,
( op(e0,e0) = e3
| e3 = op(e0,e1)
| e3 = op(e0,e2)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f105,plain,
( op(e0,e0) = e2
| e2 = op(e1,e0)
| e2 = op(e2,e0)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f106,plain,
( op(e0,e0) = e2
| e2 = op(e0,e1)
| e2 = op(e0,e2)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f107,plain,
( op(e0,e0) = e1
| e1 = op(e1,e0)
| e1 = op(e2,e0)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f108,plain,
( op(e0,e0) = e1
| e1 = op(e0,e1)
| e1 = op(e0,e2)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f109,plain,
( e0 = op(e0,e0)
| e0 = op(e1,e0)
| e0 = op(e2,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f110,plain,
( e0 = op(e0,e0)
| e0 = op(e0,e1)
| e0 = op(e0,e2)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f111,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f112,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f114,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f115,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f122,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f123,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f124,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f125,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f127,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f129,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f130,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f131,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f132,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f133,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f134,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f135,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f136,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f137,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f138,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f139,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f140,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f141,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f142,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f143,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f144,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f145,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f146,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f147,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f148,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f149,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f150,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f151,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f152,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f153,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f154,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f155,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f156,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f157,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f158,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f159,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f160,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f161,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f162,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f163,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f164,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
fof(f165,plain,
( e0 != op(e3,e3)
| e3 = op(e3,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f166,plain,
( e0 != op(e3,e2)
| e2 = op(e3,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f167,plain,
( e0 != op(e3,e1)
| e1 = op(e3,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f169,plain,
( e0 != op(e2,e3)
| e3 = op(e2,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f170,plain,
( e0 != op(e2,e2)
| e2 = op(e2,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f171,plain,
( e0 != op(e2,e1)
| e1 = op(e2,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f173,plain,
( e0 != op(e1,e3)
| e3 = op(e1,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f174,plain,
( e0 != op(e1,e2)
| e2 = op(e1,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f175,plain,
( e0 != op(e1,e1)
| e1 = op(e1,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f177,plain,
( e0 != op(e0,e3)
| op(e0,e0) = e3
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f178,plain,
( e0 != op(e0,e2)
| op(e0,e0) = e2
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f179,plain,
( e0 != op(e0,e1)
| op(e0,e0) = e1
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f181,plain,
( e1 != op(e3,e3)
| e3 = op(e3,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f182,plain,
( e1 != op(e3,e2)
| e2 = op(e3,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f184,plain,
( e1 != op(e3,e0)
| e0 = op(e3,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f185,plain,
( e1 != op(e2,e3)
| e3 = op(e2,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f186,plain,
( e1 != op(e2,e2)
| e2 = op(e2,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f188,plain,
( e1 != op(e2,e0)
| e0 = op(e2,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f189,plain,
( e1 != op(e1,e3)
| e3 = op(e1,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f190,plain,
( e1 != op(e1,e2)
| e2 = op(e1,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f192,plain,
( e1 != op(e1,e0)
| e0 = op(e1,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f193,plain,
( e1 != op(e0,e3)
| e3 = op(e0,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f194,plain,
( e1 != op(e0,e2)
| e2 = op(e0,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f196,plain,
( op(e0,e0) != e1
| e0 = op(e0,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f197,plain,
( e2 != op(e3,e3)
| e3 = op(e3,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f199,plain,
( e2 != op(e3,e1)
| e1 = op(e3,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f200,plain,
( e2 != op(e3,e0)
| e0 = op(e3,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f201,plain,
( e2 != op(e2,e3)
| e3 = op(e2,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f203,plain,
( e2 != op(e2,e1)
| e1 = op(e2,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f204,plain,
( e2 != op(e2,e0)
| e0 = op(e2,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f205,plain,
( e2 != op(e1,e3)
| e3 = op(e1,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f207,plain,
( e2 != op(e1,e1)
| e1 = op(e1,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f208,plain,
( e2 != op(e1,e0)
| e0 = op(e1,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f209,plain,
( e2 != op(e0,e3)
| e3 = op(e0,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f211,plain,
( e2 != op(e0,e1)
| e1 = op(e0,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f212,plain,
( op(e0,e0) != e2
| e0 = op(e0,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f214,plain,
( e3 != op(e3,e2)
| e2 = op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f215,plain,
( e3 != op(e3,e1)
| e1 = op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f216,plain,
( e3 != op(e3,e0)
| e0 = op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f218,plain,
( e3 != op(e2,e2)
| e2 = op(e2,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f219,plain,
( e3 != op(e2,e1)
| e1 = op(e2,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f220,plain,
( e3 != op(e2,e0)
| e0 = op(e2,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f222,plain,
( e3 != op(e1,e2)
| e2 = op(e1,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f223,plain,
( e3 != op(e1,e1)
| e1 = op(e1,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f224,plain,
( e3 != op(e1,e0)
| e0 = op(e1,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f226,plain,
( e3 != op(e0,e2)
| e2 = op(e0,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f227,plain,
( e3 != op(e0,e1)
| e1 = op(e0,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f228,plain,
( op(e0,e0) != e3
| e0 = op(e0,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f229,plain,
( sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f230,plain,
e3 != op(e3,e3),
inference(cnf_transformation,[],[f58]) ).
fof(f231,plain,
e2 != op(e2,e2),
inference(cnf_transformation,[],[f58]) ).
fof(f232,plain,
e1 != op(e1,e1),
inference(cnf_transformation,[],[f58]) ).
fof(f233,plain,
e0 != op(e0,e0),
inference(cnf_transformation,[],[f58]) ).
fof(f234,plain,
( e1 != op(op(op(e0,e0),e0),e0)
| e2 != op(op(e0,e0),e0)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f30]) ).
fof(f235,plain,
( e1 != op(op(op(e0,e0),e0),e0)
| e3 != op(op(e0,e0),e0)
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f31]) ).
fof(f236,plain,
( e2 != op(op(op(e0,e0),e0),e0)
| e1 != op(op(e0,e0),e0)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f32]) ).
fof(f237,plain,
( e2 != op(op(op(e0,e0),e0),e0)
| e3 != op(op(e0,e0),e0)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f238,plain,
( e3 != op(op(op(e0,e0),e0),e0)
| e1 != op(op(e0,e0),e0)
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f34]) ).
fof(f239,plain,
( e3 != op(op(op(e0,e0),e0),e0)
| e2 != op(op(e0,e0),e0)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f240,plain,
( e0 != op(op(op(e1,e1),e1),e1)
| e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f241,plain,
( e0 != op(op(op(e1,e1),e1),e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f242,plain,
( e2 != op(op(op(e1,e1),e1),e1)
| e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f243,plain,
( e2 != op(op(op(e1,e1),e1),e1)
| e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f244,plain,
( e3 != op(op(op(e1,e1),e1),e1)
| e0 != op(op(e1,e1),e1)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f245,plain,
( e3 != op(op(op(e1,e1),e1),e1)
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f246,plain,
( e0 != op(op(op(e2,e2),e2),e2)
| e1 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f247,plain,
( e0 != op(op(op(e2,e2),e2),e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f248,plain,
( e1 != op(op(op(e2,e2),e2),e2)
| e0 != op(op(e2,e2),e2)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f249,plain,
( e1 != op(op(op(e2,e2),e2),e2)
| e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f250,plain,
( e3 != op(op(op(e2,e2),e2),e2)
| e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f251,plain,
( e3 != op(op(op(e2,e2),e2),e2)
| e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f252,plain,
( e0 != op(op(op(e3,e3),e3),e3)
| e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f253,plain,
( e0 != op(op(op(e3,e3),e3),e3)
| e2 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f49]) ).
fof(f254,plain,
( e1 != op(op(op(e3,e3),e3),e3)
| e0 != op(op(e3,e3),e3)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f255,plain,
( e1 != op(op(op(e3,e3),e3),e3)
| e2 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f256,plain,
( e2 != op(op(op(e3,e3),e3),e3)
| e0 != op(op(e3,e3),e3)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f257,plain,
( e2 != op(op(op(e3,e3),e3),e3)
| e1 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f53]) ).
fof(f259,plain,
( e0 != op(e0,e1)
| op(e0,e0) = e1
| sP3 ),
inference(consistent_polarity_flipping,[],[f179]) ).
fof(f260,plain,
( e0 != op(e0,e2)
| op(e0,e0) = e2
| sP3 ),
inference(consistent_polarity_flipping,[],[f178]) ).
fof(f261,plain,
( e0 != op(e0,e3)
| op(e0,e0) = e3
| sP3 ),
inference(consistent_polarity_flipping,[],[f177]) ).
fof(f263,plain,
( e0 != op(e1,e1)
| e1 = op(e1,e0)
| sP3 ),
inference(consistent_polarity_flipping,[],[f175]) ).
fof(f264,plain,
( e0 != op(e1,e2)
| e2 = op(e1,e0)
| sP3 ),
inference(consistent_polarity_flipping,[],[f174]) ).
fof(f265,plain,
( e0 != op(e1,e3)
| e3 = op(e1,e0)
| sP3 ),
inference(consistent_polarity_flipping,[],[f173]) ).
fof(f267,plain,
( e0 != op(e2,e1)
| e1 = op(e2,e0)
| sP3 ),
inference(consistent_polarity_flipping,[],[f171]) ).
fof(f268,plain,
( e0 != op(e2,e2)
| e2 = op(e2,e0)
| sP3 ),
inference(consistent_polarity_flipping,[],[f170]) ).
fof(f269,plain,
( e0 != op(e2,e3)
| e3 = op(e2,e0)
| sP3 ),
inference(consistent_polarity_flipping,[],[f169]) ).
fof(f271,plain,
( e0 != op(e3,e1)
| e1 = op(e3,e0)
| sP3 ),
inference(consistent_polarity_flipping,[],[f167]) ).
fof(f272,plain,
( e0 != op(e3,e2)
| e2 = op(e3,e0)
| sP3 ),
inference(consistent_polarity_flipping,[],[f166]) ).
fof(f273,plain,
( e0 != op(e3,e3)
| e3 = op(e3,e0)
| sP3 ),
inference(consistent_polarity_flipping,[],[f165]) ).
fof(f274,plain,
( op(e0,e0) != e1
| e0 = op(e0,e1)
| sP2 ),
inference(consistent_polarity_flipping,[],[f196]) ).
fof(f276,plain,
( e1 != op(e0,e2)
| e2 = op(e0,e1)
| sP2 ),
inference(consistent_polarity_flipping,[],[f194]) ).
fof(f277,plain,
( e1 != op(e0,e3)
| e3 = op(e0,e1)
| sP2 ),
inference(consistent_polarity_flipping,[],[f193]) ).
fof(f278,plain,
( e1 != op(e1,e0)
| e0 = op(e1,e1)
| sP2 ),
inference(consistent_polarity_flipping,[],[f192]) ).
fof(f280,plain,
( e1 != op(e1,e2)
| e2 = op(e1,e1)
| sP2 ),
inference(consistent_polarity_flipping,[],[f190]) ).
fof(f281,plain,
( e1 != op(e1,e3)
| e3 = op(e1,e1)
| sP2 ),
inference(consistent_polarity_flipping,[],[f189]) ).
fof(f282,plain,
( e1 != op(e2,e0)
| e0 = op(e2,e1)
| sP2 ),
inference(consistent_polarity_flipping,[],[f188]) ).
fof(f284,plain,
( e1 != op(e2,e2)
| e2 = op(e2,e1)
| sP2 ),
inference(consistent_polarity_flipping,[],[f186]) ).
fof(f285,plain,
( e1 != op(e2,e3)
| e3 = op(e2,e1)
| sP2 ),
inference(consistent_polarity_flipping,[],[f185]) ).
fof(f286,plain,
( e1 != op(e3,e0)
| e0 = op(e3,e1)
| sP2 ),
inference(consistent_polarity_flipping,[],[f184]) ).
fof(f288,plain,
( e1 != op(e3,e2)
| e2 = op(e3,e1)
| sP2 ),
inference(consistent_polarity_flipping,[],[f182]) ).
fof(f289,plain,
( e1 != op(e3,e3)
| e3 = op(e3,e1)
| sP2 ),
inference(consistent_polarity_flipping,[],[f181]) ).
fof(f290,plain,
( op(e0,e0) != e2
| e0 = op(e0,e2)
| sP1 ),
inference(consistent_polarity_flipping,[],[f212]) ).
fof(f291,plain,
( e2 != op(e0,e1)
| e1 = op(e0,e2)
| sP1 ),
inference(consistent_polarity_flipping,[],[f211]) ).
fof(f293,plain,
( e2 != op(e0,e3)
| e3 = op(e0,e2)
| sP1 ),
inference(consistent_polarity_flipping,[],[f209]) ).
fof(f294,plain,
( e2 != op(e1,e0)
| e0 = op(e1,e2)
| sP1 ),
inference(consistent_polarity_flipping,[],[f208]) ).
fof(f295,plain,
( e2 != op(e1,e1)
| e1 = op(e1,e2)
| sP1 ),
inference(consistent_polarity_flipping,[],[f207]) ).
fof(f297,plain,
( e2 != op(e1,e3)
| e3 = op(e1,e2)
| sP1 ),
inference(consistent_polarity_flipping,[],[f205]) ).
fof(f298,plain,
( e2 != op(e2,e0)
| e0 = op(e2,e2)
| sP1 ),
inference(consistent_polarity_flipping,[],[f204]) ).
fof(f299,plain,
( e2 != op(e2,e1)
| e1 = op(e2,e2)
| sP1 ),
inference(consistent_polarity_flipping,[],[f203]) ).
fof(f301,plain,
( e2 != op(e2,e3)
| e3 = op(e2,e2)
| sP1 ),
inference(consistent_polarity_flipping,[],[f201]) ).
fof(f302,plain,
( e2 != op(e3,e0)
| e0 = op(e3,e2)
| sP1 ),
inference(consistent_polarity_flipping,[],[f200]) ).
fof(f303,plain,
( e2 != op(e3,e1)
| e1 = op(e3,e2)
| sP1 ),
inference(consistent_polarity_flipping,[],[f199]) ).
fof(f305,plain,
( e2 != op(e3,e3)
| e3 = op(e3,e2)
| sP1 ),
inference(consistent_polarity_flipping,[],[f197]) ).
fof(f306,plain,
( op(e0,e0) != e3
| e0 = op(e0,e3)
| sP0 ),
inference(consistent_polarity_flipping,[],[f228]) ).
fof(f307,plain,
( e3 != op(e0,e1)
| e1 = op(e0,e3)
| sP0 ),
inference(consistent_polarity_flipping,[],[f227]) ).
fof(f308,plain,
( e3 != op(e0,e2)
| e2 = op(e0,e3)
| sP0 ),
inference(consistent_polarity_flipping,[],[f226]) ).
fof(f310,plain,
( e3 != op(e1,e0)
| e0 = op(e1,e3)
| sP0 ),
inference(consistent_polarity_flipping,[],[f224]) ).
fof(f311,plain,
( e3 != op(e1,e1)
| e1 = op(e1,e3)
| sP0 ),
inference(consistent_polarity_flipping,[],[f223]) ).
fof(f312,plain,
( e3 != op(e1,e2)
| e2 = op(e1,e3)
| sP0 ),
inference(consistent_polarity_flipping,[],[f222]) ).
fof(f314,plain,
( e3 != op(e2,e0)
| e0 = op(e2,e3)
| sP0 ),
inference(consistent_polarity_flipping,[],[f220]) ).
fof(f315,plain,
( e3 != op(e2,e1)
| e1 = op(e2,e3)
| sP0 ),
inference(consistent_polarity_flipping,[],[f219]) ).
fof(f316,plain,
( e3 != op(e2,e2)
| e2 = op(e2,e3)
| sP0 ),
inference(consistent_polarity_flipping,[],[f218]) ).
fof(f318,plain,
( e3 != op(e3,e0)
| e0 = op(e3,e3)
| sP0 ),
inference(consistent_polarity_flipping,[],[f216]) ).
fof(f319,plain,
( e3 != op(e3,e1)
| e1 = op(e3,e3)
| sP0 ),
inference(consistent_polarity_flipping,[],[f215]) ).
fof(f320,plain,
( e3 != op(e3,e2)
| e2 = op(e3,e3)
| sP0 ),
inference(consistent_polarity_flipping,[],[f214]) ).
fof(f322,plain,
( ~ sP3
| ~ sP2
| ~ sP1
| ~ sP0 ),
inference(consistent_polarity_flipping,[],[f229]) ).
fof(f324,definition,
( spl4_1
<=> e0 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f325,plain,
( e0 = op(e3,e3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f328,definition,
( spl4_2
<=> e1 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f329,plain,
( e1 = op(op(e3,e3),e3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f330,plain,
( e1 != op(op(e3,e3),e3)
| spl4_2 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f332,definition,
( spl4_3
<=> e2 = op(op(op(e3,e3),e3),e3) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f334,plain,
( e2 != op(op(op(e3,e3),e3),e3)
| spl4_3 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f335,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f257,f332,f328,f324]) ).
fof(f337,definition,
( spl4_4
<=> e1 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f338,plain,
( e1 = op(e3,e3)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f341,definition,
( spl4_5
<=> e0 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f342,plain,
( e0 = op(op(e3,e3),e3)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f343,plain,
( e0 != op(op(e3,e3),e3)
| spl4_5 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f344,plain,
( ~ spl4_4
| ~ spl4_5
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f256,f332,f341,f337]) ).
fof(f346,definition,
( spl4_6
<=> e2 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f347,plain,
( e2 = op(op(e3,e3),e3)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f348,plain,
( e2 != op(op(e3,e3),e3)
| spl4_6 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f350,definition,
( spl4_7
<=> e1 = op(op(op(e3,e3),e3),e3) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f352,plain,
( e1 != op(op(op(e3,e3),e3),e3)
| spl4_7 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f353,plain,
( ~ spl4_1
| ~ spl4_6
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f255,f350,f346,f324]) ).
fof(f355,definition,
( spl4_8
<=> e2 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f356,plain,
( e2 = op(e3,e3)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f358,plain,
( ~ spl4_8
| ~ spl4_5
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f254,f350,f341,f355]) ).
fof(f360,definition,
( spl4_9
<=> e0 = op(op(op(e3,e3),e3),e3) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f362,plain,
( e0 != op(op(op(e3,e3),e3),e3)
| spl4_9 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
( ~ spl4_4
| ~ spl4_6
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f253,f360,f346,f337]) ).
fof(f364,plain,
( ~ spl4_8
| ~ spl4_2
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f252,f360,f328,f355]) ).
fof(f366,definition,
( spl4_10
<=> e0 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f367,plain,
( e0 = op(e2,e2)
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f370,definition,
( spl4_11
<=> e1 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f371,plain,
( e1 = op(op(e2,e2),e2)
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f372,plain,
( e1 != op(op(e2,e2),e2)
| spl4_11 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f374,definition,
( spl4_12
<=> e3 = op(op(op(e2,e2),e2),e2) ),
introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).
fof(f376,plain,
( e3 != op(op(op(e2,e2),e2),e2)
| spl4_12 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f377,plain,
( ~ spl4_10
| ~ spl4_11
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f251,f374,f370,f366]) ).
fof(f379,definition,
( spl4_13
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).
fof(f380,plain,
( e1 = op(e2,e2)
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f383,definition,
( spl4_14
<=> e0 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
fof(f384,plain,
( e0 = op(op(e2,e2),e2)
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f385,plain,
( e0 != op(op(e2,e2),e2)
| spl4_14 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f386,plain,
( ~ spl4_13
| ~ spl4_14
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f250,f374,f383,f379]) ).
fof(f388,definition,
( spl4_15
<=> e3 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).
fof(f389,plain,
( e3 = op(op(e2,e2),e2)
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f390,plain,
( e3 != op(op(e2,e2),e2)
| spl4_15 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f392,definition,
( spl4_16
<=> e1 = op(op(op(e2,e2),e2),e2) ),
introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition]) ).
fof(f394,plain,
( e1 != op(op(op(e2,e2),e2),e2)
| spl4_16 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f395,plain,
( ~ spl4_10
| ~ spl4_15
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f249,f392,f388,f366]) ).
fof(f397,definition,
( spl4_17
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).
fof(f398,plain,
( e3 = op(e2,e2)
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f400,plain,
( ~ spl4_17
| ~ spl4_14
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f248,f392,f383,f397]) ).
fof(f402,definition,
( spl4_18
<=> e0 = op(op(op(e2,e2),e2),e2) ),
introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).
fof(f404,plain,
( e0 != op(op(op(e2,e2),e2),e2)
| spl4_18 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f405,plain,
( ~ spl4_13
| ~ spl4_15
| ~ spl4_18 ),
inference(avatar_split_clause,[],[f247,f402,f388,f379]) ).
fof(f406,plain,
( ~ spl4_17
| ~ spl4_11
| ~ spl4_18 ),
inference(avatar_split_clause,[],[f246,f402,f370,f397]) ).
fof(f408,definition,
( spl4_19
<=> e0 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl4_19])],[avatar_definition]) ).
fof(f409,plain,
( e0 = op(e1,e1)
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f412,definition,
( spl4_20
<=> e2 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl4_20])],[avatar_definition]) ).
fof(f413,plain,
( e2 = op(op(e1,e1),e1)
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f414,plain,
( e2 != op(op(e1,e1),e1)
| spl4_20 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f416,definition,
( spl4_21
<=> e3 = op(op(op(e1,e1),e1),e1) ),
introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition]) ).
fof(f418,plain,
( e3 != op(op(op(e1,e1),e1),e1)
| spl4_21 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f419,plain,
( ~ spl4_19
| ~ spl4_20
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f245,f416,f412,f408]) ).
fof(f421,definition,
( spl4_22
<=> e2 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl4_22])],[avatar_definition]) ).
fof(f422,plain,
( e2 = op(e1,e1)
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f425,definition,
( spl4_23
<=> e0 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl4_23])],[avatar_definition]) ).
fof(f426,plain,
( e0 = op(op(e1,e1),e1)
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f427,plain,
( e0 != op(op(e1,e1),e1)
| spl4_23 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f428,plain,
( ~ spl4_22
| ~ spl4_23
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f244,f416,f425,f421]) ).
fof(f430,definition,
( spl4_24
<=> e3 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl4_24])],[avatar_definition]) ).
fof(f431,plain,
( e3 = op(op(e1,e1),e1)
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f432,plain,
( e3 != op(op(e1,e1),e1)
| spl4_24 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f434,definition,
( spl4_25
<=> e2 = op(op(op(e1,e1),e1),e1) ),
introduced(definition,[new_symbols(definition,[spl4_25])],[avatar_definition]) ).
fof(f436,plain,
( e2 != op(op(op(e1,e1),e1),e1)
| spl4_25 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f437,plain,
( ~ spl4_19
| ~ spl4_24
| ~ spl4_25 ),
inference(avatar_split_clause,[],[f243,f434,f430,f408]) ).
fof(f439,definition,
( spl4_26
<=> e3 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl4_26])],[avatar_definition]) ).
fof(f440,plain,
( e3 = op(e1,e1)
| ~ spl4_26 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f442,plain,
( ~ spl4_26
| ~ spl4_23
| ~ spl4_25 ),
inference(avatar_split_clause,[],[f242,f434,f425,f439]) ).
fof(f444,definition,
( spl4_27
<=> e0 = op(op(op(e1,e1),e1),e1) ),
introduced(definition,[new_symbols(definition,[spl4_27])],[avatar_definition]) ).
fof(f446,plain,
( e0 != op(op(op(e1,e1),e1),e1)
| spl4_27 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f447,plain,
( ~ spl4_22
| ~ spl4_24
| ~ spl4_27 ),
inference(avatar_split_clause,[],[f241,f444,f430,f421]) ).
fof(f448,plain,
( ~ spl4_26
| ~ spl4_20
| ~ spl4_27 ),
inference(avatar_split_clause,[],[f240,f444,f412,f439]) ).
fof(f450,definition,
( spl4_28
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[spl4_28])],[avatar_definition]) ).
fof(f451,plain,
( op(e0,e0) = e1
| ~ spl4_28 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f454,definition,
( spl4_29
<=> e2 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[spl4_29])],[avatar_definition]) ).
fof(f455,plain,
( e2 = op(op(e0,e0),e0)
| ~ spl4_29 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f456,plain,
( e2 != op(op(e0,e0),e0)
| spl4_29 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f458,definition,
( spl4_30
<=> e3 = op(op(op(e0,e0),e0),e0) ),
introduced(definition,[new_symbols(definition,[spl4_30])],[avatar_definition]) ).
fof(f460,plain,
( e3 != op(op(op(e0,e0),e0),e0)
| spl4_30 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f461,plain,
( ~ spl4_28
| ~ spl4_29
| ~ spl4_30 ),
inference(avatar_split_clause,[],[f239,f458,f454,f450]) ).
fof(f463,definition,
( spl4_31
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[spl4_31])],[avatar_definition]) ).
fof(f464,plain,
( op(e0,e0) = e2
| ~ spl4_31 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f467,definition,
( spl4_32
<=> e1 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[spl4_32])],[avatar_definition]) ).
fof(f468,plain,
( e1 = op(op(e0,e0),e0)
| ~ spl4_32 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f469,plain,
( e1 != op(op(e0,e0),e0)
| spl4_32 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f470,plain,
( ~ spl4_31
| ~ spl4_32
| ~ spl4_30 ),
inference(avatar_split_clause,[],[f238,f458,f467,f463]) ).
fof(f472,definition,
( spl4_33
<=> e3 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[spl4_33])],[avatar_definition]) ).
fof(f473,plain,
( e3 = op(op(e0,e0),e0)
| ~ spl4_33 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f474,plain,
( e3 != op(op(e0,e0),e0)
| spl4_33 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f476,definition,
( spl4_34
<=> e2 = op(op(op(e0,e0),e0),e0) ),
introduced(definition,[new_symbols(definition,[spl4_34])],[avatar_definition]) ).
fof(f478,plain,
( e2 != op(op(op(e0,e0),e0),e0)
| spl4_34 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f479,plain,
( ~ spl4_28
| ~ spl4_33
| ~ spl4_34 ),
inference(avatar_split_clause,[],[f237,f476,f472,f450]) ).
fof(f481,definition,
( spl4_35
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[spl4_35])],[avatar_definition]) ).
fof(f482,plain,
( op(e0,e0) = e3
| ~ spl4_35 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f484,plain,
( ~ spl4_35
| ~ spl4_32
| ~ spl4_34 ),
inference(avatar_split_clause,[],[f236,f476,f467,f481]) ).
fof(f486,definition,
( spl4_36
<=> e1 = op(op(op(e0,e0),e0),e0) ),
introduced(definition,[new_symbols(definition,[spl4_36])],[avatar_definition]) ).
fof(f488,plain,
( e1 != op(op(op(e0,e0),e0),e0)
| spl4_36 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f489,plain,
( ~ spl4_31
| ~ spl4_33
| ~ spl4_36 ),
inference(avatar_split_clause,[],[f235,f486,f472,f463]) ).
fof(f490,plain,
( ~ spl4_35
| ~ spl4_29
| ~ spl4_36 ),
inference(avatar_split_clause,[],[f234,f486,f454,f481]) ).
fof(f492,definition,
( spl4_37
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl4_37])],[avatar_definition]) ).
fof(f496,definition,
( spl4_38
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl4_38])],[avatar_definition]) ).
fof(f500,definition,
( spl4_39
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl4_39])],[avatar_definition]) ).
fof(f504,definition,
( spl4_40
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl4_40])],[avatar_definition]) ).
fof(f507,plain,
( ~ spl4_37
| ~ spl4_38
| ~ spl4_39
| ~ spl4_40 ),
inference(avatar_split_clause,[],[f322,f504,f500,f496,f492]) ).
fof(f509,definition,
( spl4_41
<=> e3 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl4_41])],[avatar_definition]) ).
fof(f510,plain,
( e3 = op(e3,e2)
| ~ spl4_41 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f512,plain,
( spl4_37
| spl4_8
| ~ spl4_41 ),
inference(avatar_split_clause,[],[f320,f509,f355,f492]) ).
fof(f514,definition,
( spl4_42
<=> e3 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl4_42])],[avatar_definition]) ).
fof(f515,plain,
( e3 = op(e3,e1)
| ~ spl4_42 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f516,plain,
( e3 != op(e3,e1)
| spl4_42 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f517,plain,
( spl4_37
| spl4_4
| ~ spl4_42 ),
inference(avatar_split_clause,[],[f319,f514,f337,f492]) ).
fof(f519,definition,
( spl4_43
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl4_43])],[avatar_definition]) ).
fof(f520,plain,
( e3 = op(e3,e0)
| ~ spl4_43 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f521,plain,
( e3 != op(e3,e0)
| spl4_43 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f522,plain,
( spl4_37
| spl4_1
| ~ spl4_43 ),
inference(avatar_split_clause,[],[f318,f519,f324,f492]) ).
fof(f524,definition,
( spl4_44
<=> e2 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl4_44])],[avatar_definition]) ).
fof(f525,plain,
( e2 != op(e2,e3)
| spl4_44 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f526,plain,
( e2 = op(e2,e3)
| ~ spl4_44 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f527,plain,
( spl4_37
| spl4_44
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f316,f397,f524,f492]) ).
fof(f529,definition,
( spl4_45
<=> e1 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl4_45])],[avatar_definition]) ).
fof(f530,plain,
( e1 != op(e2,e3)
| spl4_45 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f531,plain,
( e1 = op(e2,e3)
| ~ spl4_45 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f533,definition,
( spl4_46
<=> e3 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl4_46])],[avatar_definition]) ).
fof(f534,plain,
( e3 = op(e2,e1)
| ~ spl4_46 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f536,plain,
( spl4_37
| spl4_45
| ~ spl4_46 ),
inference(avatar_split_clause,[],[f315,f533,f529,f492]) ).
fof(f538,definition,
( spl4_47
<=> e0 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl4_47])],[avatar_definition]) ).
fof(f540,plain,
( e0 = op(e2,e3)
| ~ spl4_47 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f542,definition,
( spl4_48
<=> e3 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl4_48])],[avatar_definition]) ).
fof(f543,plain,
( e3 = op(e2,e0)
| ~ spl4_48 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f545,plain,
( spl4_37
| spl4_47
| ~ spl4_48 ),
inference(avatar_split_clause,[],[f314,f542,f538,f492]) ).
fof(f547,definition,
( spl4_49
<=> e2 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl4_49])],[avatar_definition]) ).
fof(f549,plain,
( e2 = op(e1,e3)
| ~ spl4_49 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f551,definition,
( spl4_50
<=> e3 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl4_50])],[avatar_definition]) ).
fof(f552,plain,
( e3 = op(e1,e2)
| ~ spl4_50 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f554,plain,
( spl4_37
| spl4_49
| ~ spl4_50 ),
inference(avatar_split_clause,[],[f312,f551,f547,f492]) ).
fof(f556,definition,
( spl4_51
<=> e1 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl4_51])],[avatar_definition]) ).
fof(f557,plain,
( e1 != op(e1,e3)
| spl4_51 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f558,plain,
( e1 = op(e1,e3)
| ~ spl4_51 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f559,plain,
( spl4_37
| spl4_51
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f311,f439,f556,f492]) ).
fof(f561,definition,
( spl4_52
<=> e0 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl4_52])],[avatar_definition]) ).
fof(f563,plain,
( e0 = op(e1,e3)
| ~ spl4_52 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f565,definition,
( spl4_53
<=> e3 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl4_53])],[avatar_definition]) ).
fof(f566,plain,
( e3 = op(e1,e0)
| ~ spl4_53 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f568,plain,
( spl4_37
| spl4_52
| ~ spl4_53 ),
inference(avatar_split_clause,[],[f310,f565,f561,f492]) ).
fof(f570,definition,
( spl4_54
<=> e2 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl4_54])],[avatar_definition]) ).
fof(f572,plain,
( e2 = op(e0,e3)
| ~ spl4_54 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f574,definition,
( spl4_55
<=> e3 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl4_55])],[avatar_definition]) ).
fof(f575,plain,
( e3 = op(e0,e2)
| ~ spl4_55 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f577,plain,
( spl4_37
| spl4_54
| ~ spl4_55 ),
inference(avatar_split_clause,[],[f308,f574,f570,f492]) ).
fof(f579,definition,
( spl4_56
<=> e1 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl4_56])],[avatar_definition]) ).
fof(f581,plain,
( e1 = op(e0,e3)
| ~ spl4_56 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f583,definition,
( spl4_57
<=> e3 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl4_57])],[avatar_definition]) ).
fof(f584,plain,
( e3 = op(e0,e1)
| ~ spl4_57 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f586,plain,
( spl4_37
| spl4_56
| ~ spl4_57 ),
inference(avatar_split_clause,[],[f307,f583,f579,f492]) ).
fof(f588,definition,
( spl4_58
<=> e0 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl4_58])],[avatar_definition]) ).
fof(f590,plain,
( e0 = op(e0,e3)
| ~ spl4_58 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f591,plain,
( spl4_37
| spl4_58
| ~ spl4_35 ),
inference(avatar_split_clause,[],[f306,f481,f588,f492]) ).
fof(f592,plain,
( spl4_38
| spl4_41
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f305,f355,f509,f496]) ).
fof(f594,definition,
( spl4_59
<=> e1 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl4_59])],[avatar_definition]) ).
fof(f596,plain,
( e1 = op(e3,e2)
| ~ spl4_59 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f598,definition,
( spl4_60
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl4_60])],[avatar_definition]) ).
fof(f599,plain,
( e2 = op(e3,e1)
| ~ spl4_60 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f601,plain,
( spl4_38
| spl4_59
| ~ spl4_60 ),
inference(avatar_split_clause,[],[f303,f598,f594,f496]) ).
fof(f603,definition,
( spl4_61
<=> e0 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl4_61])],[avatar_definition]) ).
fof(f605,plain,
( e0 = op(e3,e2)
| ~ spl4_61 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f607,definition,
( spl4_62
<=> e2 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl4_62])],[avatar_definition]) ).
fof(f608,plain,
( e2 = op(e3,e0)
| ~ spl4_62 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f610,plain,
( spl4_38
| spl4_61
| ~ spl4_62 ),
inference(avatar_split_clause,[],[f302,f607,f603,f496]) ).
fof(f611,plain,
( spl4_38
| spl4_17
| ~ spl4_44 ),
inference(avatar_split_clause,[],[f301,f524,f397,f496]) ).
fof(f613,definition,
( spl4_63
<=> e2 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl4_63])],[avatar_definition]) ).
fof(f614,plain,
( e2 = op(e2,e1)
| ~ spl4_63 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f616,plain,
( spl4_38
| spl4_13
| ~ spl4_63 ),
inference(avatar_split_clause,[],[f299,f613,f379,f496]) ).
fof(f618,definition,
( spl4_64
<=> e2 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl4_64])],[avatar_definition]) ).
fof(f619,plain,
( e2 = op(e2,e0)
| ~ spl4_64 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f621,plain,
( spl4_38
| spl4_10
| ~ spl4_64 ),
inference(avatar_split_clause,[],[f298,f618,f366,f496]) ).
fof(f622,plain,
( spl4_38
| spl4_50
| ~ spl4_49 ),
inference(avatar_split_clause,[],[f297,f547,f551,f496]) ).
fof(f624,definition,
( spl4_65
<=> e1 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl4_65])],[avatar_definition]) ).
fof(f626,plain,
( e1 = op(e1,e2)
| ~ spl4_65 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f627,plain,
( spl4_38
| spl4_65
| ~ spl4_22 ),
inference(avatar_split_clause,[],[f295,f421,f624,f496]) ).
fof(f629,definition,
( spl4_66
<=> e0 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl4_66])],[avatar_definition]) ).
fof(f631,plain,
( e0 = op(e1,e2)
| ~ spl4_66 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f633,definition,
( spl4_67
<=> e2 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl4_67])],[avatar_definition]) ).
fof(f634,plain,
( e2 = op(e1,e0)
| ~ spl4_67 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f636,plain,
( spl4_38
| spl4_66
| ~ spl4_67 ),
inference(avatar_split_clause,[],[f294,f633,f629,f496]) ).
fof(f637,plain,
( spl4_38
| spl4_55
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f293,f570,f574,f496]) ).
fof(f639,definition,
( spl4_68
<=> e1 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl4_68])],[avatar_definition]) ).
fof(f641,plain,
( e1 = op(e0,e2)
| ~ spl4_68 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f643,definition,
( spl4_69
<=> e2 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl4_69])],[avatar_definition]) ).
fof(f644,plain,
( e2 = op(e0,e1)
| ~ spl4_69 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f646,plain,
( spl4_38
| spl4_68
| ~ spl4_69 ),
inference(avatar_split_clause,[],[f291,f643,f639,f496]) ).
fof(f648,definition,
( spl4_70
<=> e0 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl4_70])],[avatar_definition]) ).
fof(f650,plain,
( e0 = op(e0,e2)
| ~ spl4_70 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f651,plain,
( spl4_38
| spl4_70
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f290,f463,f648,f496]) ).
fof(f652,plain,
( spl4_39
| spl4_42
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f289,f337,f514,f500]) ).
fof(f653,plain,
( spl4_39
| spl4_60
| ~ spl4_59 ),
inference(avatar_split_clause,[],[f288,f594,f598,f500]) ).
fof(f655,definition,
( spl4_71
<=> e0 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl4_71])],[avatar_definition]) ).
fof(f657,plain,
( e0 = op(e3,e1)
| ~ spl4_71 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f659,definition,
( spl4_72
<=> e1 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl4_72])],[avatar_definition]) ).
fof(f660,plain,
( e1 = op(e3,e0)
| ~ spl4_72 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f662,plain,
( spl4_39
| spl4_71
| ~ spl4_72 ),
inference(avatar_split_clause,[],[f286,f659,f655,f500]) ).
fof(f663,plain,
( spl4_39
| spl4_46
| ~ spl4_45 ),
inference(avatar_split_clause,[],[f285,f529,f533,f500]) ).
fof(f664,plain,
( spl4_39
| spl4_63
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f284,f379,f613,f500]) ).
fof(f666,definition,
( spl4_73
<=> e0 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl4_73])],[avatar_definition]) ).
fof(f668,plain,
( e0 = op(e2,e1)
| ~ spl4_73 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f670,definition,
( spl4_74
<=> e1 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl4_74])],[avatar_definition]) ).
fof(f671,plain,
( e1 = op(e2,e0)
| ~ spl4_74 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f672,plain,
( e1 != op(e2,e0)
| spl4_74 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f673,plain,
( spl4_39
| spl4_73
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f282,f670,f666,f500]) ).
fof(f674,plain,
( spl4_39
| spl4_26
| ~ spl4_51 ),
inference(avatar_split_clause,[],[f281,f556,f439,f500]) ).
fof(f675,plain,
( spl4_39
| spl4_22
| ~ spl4_65 ),
inference(avatar_split_clause,[],[f280,f624,f421,f500]) ).
fof(f677,definition,
( spl4_75
<=> e1 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl4_75])],[avatar_definition]) ).
fof(f678,plain,
( e1 = op(e1,e0)
| ~ spl4_75 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f680,plain,
( spl4_39
| spl4_19
| ~ spl4_75 ),
inference(avatar_split_clause,[],[f278,f677,f408,f500]) ).
fof(f681,plain,
( spl4_39
| spl4_57
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f277,f579,f583,f500]) ).
fof(f682,plain,
( spl4_39
| spl4_69
| ~ spl4_68 ),
inference(avatar_split_clause,[],[f276,f639,f643,f500]) ).
fof(f684,definition,
( spl4_76
<=> e0 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl4_76])],[avatar_definition]) ).
fof(f686,plain,
( e0 = op(e0,e1)
| ~ spl4_76 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f687,plain,
( spl4_39
| spl4_76
| ~ spl4_28 ),
inference(avatar_split_clause,[],[f274,f450,f684,f500]) ).
fof(f688,plain,
( spl4_40
| spl4_43
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f273,f324,f519,f504]) ).
fof(f689,plain,
( spl4_40
| spl4_62
| ~ spl4_61 ),
inference(avatar_split_clause,[],[f272,f603,f607,f504]) ).
fof(f690,plain,
( spl4_40
| spl4_72
| ~ spl4_71 ),
inference(avatar_split_clause,[],[f271,f655,f659,f504]) ).
fof(f691,plain,
( spl4_40
| spl4_48
| ~ spl4_47 ),
inference(avatar_split_clause,[],[f269,f538,f542,f504]) ).
fof(f692,plain,
( spl4_40
| spl4_64
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f268,f366,f618,f504]) ).
fof(f693,plain,
( spl4_40
| spl4_74
| ~ spl4_73 ),
inference(avatar_split_clause,[],[f267,f666,f670,f504]) ).
fof(f694,plain,
( spl4_40
| spl4_53
| ~ spl4_52 ),
inference(avatar_split_clause,[],[f265,f561,f565,f504]) ).
fof(f695,plain,
( spl4_40
| spl4_67
| ~ spl4_66 ),
inference(avatar_split_clause,[],[f264,f629,f633,f504]) ).
fof(f696,plain,
( spl4_40
| spl4_75
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f263,f408,f677,f504]) ).
fof(f697,plain,
( spl4_40
| spl4_35
| ~ spl4_58 ),
inference(avatar_split_clause,[],[f261,f588,f481,f504]) ).
fof(f698,plain,
( spl4_40
| spl4_31
| ~ spl4_70 ),
inference(avatar_split_clause,[],[f260,f648,f463,f504]) ).
fof(f699,plain,
( spl4_40
| spl4_28
| ~ spl4_76 ),
inference(avatar_split_clause,[],[f259,f684,f450,f504]) ).
fof(f701,definition,
( spl4_77
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl4_77])],[avatar_definition]) ).
fof(f703,plain,
( e3 = op(e3,e3)
| ~ spl4_77 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f705,definition,
( spl4_78
<=> e3 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl4_78])],[avatar_definition]) ).
fof(f707,plain,
( e3 = op(e2,e3)
| ~ spl4_78 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f709,definition,
( spl4_79
<=> e3 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl4_79])],[avatar_definition]) ).
fof(f710,plain,
( e3 != op(e1,e3)
| spl4_79 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f711,plain,
( e3 = op(e1,e3)
| ~ spl4_79 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f713,definition,
( spl4_80
<=> e3 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl4_80])],[avatar_definition]) ).
fof(f715,plain,
( e3 = op(e0,e3)
| ~ spl4_80 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f716,plain,
( spl4_77
| spl4_78
| spl4_79
| spl4_80 ),
inference(avatar_split_clause,[],[f79,f713,f709,f705,f701]) ).
fof(f717,plain,
( spl4_77
| spl4_41
| spl4_42
| spl4_43 ),
inference(avatar_split_clause,[],[f80,f519,f514,f509,f701]) ).
fof(f718,plain,
( spl4_8
| spl4_44
| spl4_49
| spl4_54 ),
inference(avatar_split_clause,[],[f81,f570,f547,f524,f355]) ).
fof(f720,definition,
( spl4_81
<=> e2 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl4_81])],[avatar_definition]) ).
fof(f724,plain,
( spl4_4
| spl4_45
| spl4_51
| spl4_56 ),
inference(avatar_split_clause,[],[f83,f579,f556,f529,f337]) ).
fof(f726,definition,
( spl4_82
<=> e1 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl4_82])],[avatar_definition]) ).
fof(f728,plain,
( e1 = op(e3,e1)
| ~ spl4_82 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f729,plain,
( spl4_4
| spl4_59
| spl4_82
| spl4_72 ),
inference(avatar_split_clause,[],[f84,f659,f726,f594,f337]) ).
fof(f730,plain,
( spl4_1
| spl4_47
| spl4_52
| spl4_58 ),
inference(avatar_split_clause,[],[f85,f588,f561,f538,f324]) ).
fof(f732,definition,
( spl4_83
<=> e0 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl4_83])],[avatar_definition]) ).
fof(f734,plain,
( e0 = op(e3,e0)
| ~ spl4_83 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f735,plain,
( spl4_1
| spl4_61
| spl4_71
| spl4_83 ),
inference(avatar_split_clause,[],[f86,f732,f655,f603,f324]) ).
fof(f736,plain,
( spl4_41
| spl4_17
| spl4_50
| spl4_55 ),
inference(avatar_split_clause,[],[f87,f574,f551,f397,f509]) ).
fof(f737,plain,
( spl4_78
| spl4_17
| spl4_46
| spl4_48 ),
inference(avatar_split_clause,[],[f88,f542,f533,f397,f705]) ).
fof(f739,definition,
( spl4_84
<=> e2 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl4_84])],[avatar_definition]) ).
fof(f741,plain,
( e2 = op(e2,e2)
| ~ spl4_84 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f743,definition,
( spl4_85
<=> e2 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl4_85])],[avatar_definition]) ).
fof(f745,plain,
( e2 = op(e1,e2)
| ~ spl4_85 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f747,definition,
( spl4_86
<=> e2 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl4_86])],[avatar_definition]) ).
fof(f749,plain,
( e2 = op(e0,e2)
| ~ spl4_86 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f750,plain,
( spl4_81
| spl4_84
| spl4_85
| spl4_86 ),
inference(avatar_split_clause,[],[f89,f747,f743,f739,f720]) ).
fof(f752,plain,
( spl4_59
| spl4_13
| spl4_65
| spl4_68 ),
inference(avatar_split_clause,[],[f91,f639,f624,f379,f594]) ).
fof(f754,definition,
( spl4_87
<=> e1 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl4_87])],[avatar_definition]) ).
fof(f756,plain,
( e1 = op(e2,e1)
| ~ spl4_87 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f757,plain,
( spl4_45
| spl4_13
| spl4_87
| spl4_74 ),
inference(avatar_split_clause,[],[f92,f670,f754,f379,f529]) ).
fof(f758,plain,
( spl4_61
| spl4_10
| spl4_66
| spl4_70 ),
inference(avatar_split_clause,[],[f93,f648,f629,f366,f603]) ).
fof(f760,definition,
( spl4_88
<=> e0 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl4_88])],[avatar_definition]) ).
fof(f762,plain,
( e0 = op(e2,e0)
| ~ spl4_88 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f763,plain,
( spl4_47
| spl4_10
| spl4_73
| spl4_88 ),
inference(avatar_split_clause,[],[f94,f760,f666,f366,f538]) ).
fof(f764,plain,
( spl4_42
| spl4_46
| spl4_26
| spl4_57 ),
inference(avatar_split_clause,[],[f95,f583,f439,f533,f514]) ).
fof(f765,plain,
( spl4_79
| spl4_50
| spl4_26
| spl4_53 ),
inference(avatar_split_clause,[],[f96,f565,f439,f551,f709]) ).
fof(f766,plain,
( spl4_60
| spl4_63
| spl4_22
| spl4_69 ),
inference(avatar_split_clause,[],[f97,f643,f421,f613,f598]) ).
fof(f767,plain,
( spl4_49
| spl4_85
| spl4_22
| spl4_67 ),
inference(avatar_split_clause,[],[f98,f633,f421,f743,f547]) ).
fof(f769,definition,
( spl4_89
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl4_89])],[avatar_definition]) ).
fof(f771,plain,
( e1 = op(e1,e1)
| ~ spl4_89 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f773,definition,
( spl4_90
<=> e1 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl4_90])],[avatar_definition]) ).
fof(f775,plain,
( e1 = op(e0,e1)
| ~ spl4_90 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f776,plain,
( spl4_82
| spl4_87
| spl4_89
| spl4_90 ),
inference(avatar_split_clause,[],[f99,f773,f769,f754,f726]) ).
fof(f777,plain,
( spl4_51
| spl4_65
| spl4_89
| spl4_75 ),
inference(avatar_split_clause,[],[f100,f677,f769,f624,f556]) ).
fof(f778,plain,
( spl4_71
| spl4_73
| spl4_19
| spl4_76 ),
inference(avatar_split_clause,[],[f101,f684,f408,f666,f655]) ).
fof(f780,definition,
( spl4_91
<=> e0 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl4_91])],[avatar_definition]) ).
fof(f782,plain,
( e0 = op(e1,e0)
| ~ spl4_91 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f783,plain,
( spl4_52
| spl4_66
| spl4_19
| spl4_91 ),
inference(avatar_split_clause,[],[f102,f780,f408,f629,f561]) ).
fof(f784,plain,
( spl4_43
| spl4_48
| spl4_53
| spl4_35 ),
inference(avatar_split_clause,[],[f103,f481,f565,f542,f519]) ).
fof(f785,plain,
( spl4_80
| spl4_55
| spl4_57
| spl4_35 ),
inference(avatar_split_clause,[],[f104,f481,f583,f574,f713]) ).
fof(f786,plain,
( spl4_62
| spl4_64
| spl4_67
| spl4_31 ),
inference(avatar_split_clause,[],[f105,f463,f633,f618,f607]) ).
fof(f787,plain,
( spl4_54
| spl4_86
| spl4_69
| spl4_31 ),
inference(avatar_split_clause,[],[f106,f463,f643,f747,f570]) ).
fof(f788,plain,
( spl4_72
| spl4_74
| spl4_75
| spl4_28 ),
inference(avatar_split_clause,[],[f107,f450,f677,f670,f659]) ).
fof(f789,plain,
( spl4_56
| spl4_68
| spl4_90
| spl4_28 ),
inference(avatar_split_clause,[],[f108,f450,f773,f639,f579]) ).
fof(f791,definition,
( spl4_92
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl4_92])],[avatar_definition]) ).
fof(f793,plain,
( e0 = op(e0,e0)
| ~ spl4_92 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f794,plain,
( spl4_83
| spl4_88
| spl4_91
| spl4_92 ),
inference(avatar_split_clause,[],[f109,f791,f780,f760,f732]) ).
fof(f795,plain,
( spl4_58
| spl4_70
| spl4_76
| spl4_92 ),
inference(avatar_split_clause,[],[f110,f791,f684,f648,f588]) ).
fof(f796,plain,
( spl4_77
| spl4_8
| spl4_4
| spl4_1 ),
inference(avatar_split_clause,[],[f63,f324,f337,f355,f701]) ).
fof(f797,plain,
( spl4_41
| spl4_81
| spl4_59
| spl4_61 ),
inference(avatar_split_clause,[],[f64,f603,f594,f720,f509]) ).
fof(f798,plain,
( spl4_42
| spl4_60
| spl4_82
| spl4_71 ),
inference(avatar_split_clause,[],[f65,f655,f726,f598,f514]) ).
fof(f799,plain,
( spl4_43
| spl4_62
| spl4_72
| spl4_83 ),
inference(avatar_split_clause,[],[f66,f732,f659,f607,f519]) ).
fof(f800,plain,
( spl4_78
| spl4_44
| spl4_45
| spl4_47 ),
inference(avatar_split_clause,[],[f67,f538,f529,f524,f705]) ).
fof(f801,plain,
( spl4_17
| spl4_84
| spl4_13
| spl4_10 ),
inference(avatar_split_clause,[],[f68,f366,f379,f739,f397]) ).
fof(f802,plain,
( spl4_46
| spl4_63
| spl4_87
| spl4_73 ),
inference(avatar_split_clause,[],[f69,f666,f754,f613,f533]) ).
fof(f803,plain,
( spl4_48
| spl4_64
| spl4_74
| spl4_88 ),
inference(avatar_split_clause,[],[f70,f760,f670,f618,f542]) ).
fof(f804,plain,
( spl4_79
| spl4_49
| spl4_51
| spl4_52 ),
inference(avatar_split_clause,[],[f71,f561,f556,f547,f709]) ).
fof(f805,plain,
( spl4_50
| spl4_85
| spl4_65
| spl4_66 ),
inference(avatar_split_clause,[],[f72,f629,f624,f743,f551]) ).
fof(f806,plain,
( spl4_26
| spl4_22
| spl4_89
| spl4_19 ),
inference(avatar_split_clause,[],[f73,f408,f769,f421,f439]) ).
fof(f807,plain,
( spl4_53
| spl4_67
| spl4_75
| spl4_91 ),
inference(avatar_split_clause,[],[f74,f780,f677,f633,f565]) ).
fof(f808,plain,
( spl4_80
| spl4_54
| spl4_56
| spl4_58 ),
inference(avatar_split_clause,[],[f75,f588,f579,f570,f713]) ).
fof(f809,plain,
( spl4_55
| spl4_86
| spl4_68
| spl4_70 ),
inference(avatar_split_clause,[],[f76,f648,f639,f747,f574]) ).
fof(f810,plain,
( spl4_57
| spl4_69
| spl4_90
| spl4_76 ),
inference(avatar_split_clause,[],[f77,f684,f773,f643,f583]) ).
fof(f811,plain,
( spl4_35
| spl4_31
| spl4_28
| spl4_92 ),
inference(avatar_split_clause,[],[f78,f791,f450,f463,f481]) ).
fof(f814,plain,
( e0 = e1
| ~ spl4_10
| ~ spl4_13 ),
inference(superposition,[],[f367,f380]) ).
fof(f817,plain,
( e0 != e0
| ~ spl4_10
| ~ spl4_13 ),
inference(superposition,[],[f164,f814]) ).
fof(f818,plain,
( $false
| ~ spl4_10
| ~ spl4_13 ),
inference(trivial_inequality_removal,[],[f817]) ).
fof(f819,plain,
( ~ spl4_10
| ~ spl4_13 ),
inference(avatar_contradiction_clause,[],[f818]) ).
fof(f824,plain,
( e0 = e2
| ~ spl4_19
| ~ spl4_22 ),
inference(superposition,[],[f409,f422]) ).
fof(f827,plain,
( e0 != e0
| ~ spl4_19
| ~ spl4_22 ),
inference(superposition,[],[f163,f824]) ).
fof(f832,plain,
( $false
| ~ spl4_19
| ~ spl4_22 ),
inference(trivial_inequality_removal,[],[f827]) ).
fof(f833,plain,
( ~ spl4_19
| ~ spl4_22 ),
inference(avatar_contradiction_clause,[],[f832]) ).
fof(f840,plain,
( e1 = e2
| ~ spl4_28
| ~ spl4_31 ),
inference(superposition,[],[f451,f464]) ).
fof(f842,plain,
( e1 != e1
| ~ spl4_28
| ~ spl4_31 ),
inference(superposition,[],[f161,f840]) ).
fof(f848,plain,
( $false
| ~ spl4_28
| ~ spl4_31 ),
inference(trivial_inequality_removal,[],[f842]) ).
fof(f849,plain,
( ~ spl4_28
| ~ spl4_31 ),
inference(avatar_contradiction_clause,[],[f848]) ).
fof(f853,plain,
( e1 = e2
| ~ spl4_44
| ~ spl4_45 ),
inference(superposition,[],[f526,f531]) ).
fof(f854,plain,
( e1 != e1
| ~ spl4_44
| ~ spl4_45 ),
inference(superposition,[],[f161,f853]) ).
fof(f863,plain,
( $false
| ~ spl4_44
| ~ spl4_45 ),
inference(trivial_inequality_removal,[],[f854]) ).
fof(f864,plain,
( ~ spl4_44
| ~ spl4_45 ),
inference(avatar_contradiction_clause,[],[f863]) ).
fof(f868,plain,
( e1 = e3
| ~ spl4_13
| ~ spl4_17 ),
inference(superposition,[],[f380,f398]) ).
fof(f872,plain,
( e1 != e1
| ~ spl4_13
| ~ spl4_17 ),
inference(superposition,[],[f160,f868]) ).
fof(f882,plain,
( $false
| ~ spl4_13
| ~ spl4_17 ),
inference(trivial_inequality_removal,[],[f872]) ).
fof(f883,plain,
( ~ spl4_13
| ~ spl4_17 ),
inference(avatar_contradiction_clause,[],[f882]) ).
fof(f890,plain,
( e1 = e2
| ~ spl4_49
| ~ spl4_51 ),
inference(superposition,[],[f549,f558]) ).
fof(f891,plain,
( e1 != e1
| ~ spl4_49
| ~ spl4_51 ),
inference(superposition,[],[f161,f890]) ).
fof(f898,plain,
( e1 != op(e1,e3)
| spl4_44
| ~ spl4_49
| ~ spl4_51 ),
inference(superposition,[],[f525,f890]) ).
fof(f904,plain,
( $false
| ~ spl4_49
| ~ spl4_51 ),
inference(trivial_inequality_removal,[],[f891]) ).
fof(f905,plain,
( ~ spl4_49
| ~ spl4_51 ),
inference(avatar_contradiction_clause,[],[f904]) ).
fof(f909,plain,
( ~ spl4_51
| spl4_44
| ~ spl4_49
| ~ spl4_51 ),
inference(avatar_split_clause,[],[f898,f556,f547,f524,f556]) ).
fof(f915,plain,
( e0 = e2
| ~ spl4_49
| ~ spl4_52 ),
inference(superposition,[],[f549,f563]) ).
fof(f917,plain,
( e0 != e0
| ~ spl4_49
| ~ spl4_52 ),
inference(superposition,[],[f163,f915]) ).
fof(f929,plain,
( $false
| ~ spl4_49
| ~ spl4_52 ),
inference(trivial_inequality_removal,[],[f917]) ).
fof(f930,plain,
( ~ spl4_49
| ~ spl4_52 ),
inference(avatar_contradiction_clause,[],[f929]) ).
fof(f936,plain,
( e1 = e2
| ~ spl4_54
| ~ spl4_56 ),
inference(superposition,[],[f572,f581]) ).
fof(f937,plain,
( e1 != e1
| ~ spl4_54
| ~ spl4_56 ),
inference(superposition,[],[f161,f936]) ).
fof(f951,plain,
( $false
| ~ spl4_54
| ~ spl4_56 ),
inference(trivial_inequality_removal,[],[f937]) ).
fof(f952,plain,
( ~ spl4_54
| ~ spl4_56 ),
inference(avatar_contradiction_clause,[],[f951]) ).
fof(f963,plain,
( e0 = e2
| ~ spl4_54
| ~ spl4_58 ),
inference(superposition,[],[f572,f590]) ).
fof(f965,plain,
( e0 != e0
| ~ spl4_54
| ~ spl4_58 ),
inference(superposition,[],[f163,f963]) ).
fof(f978,plain,
( $false
| ~ spl4_54
| ~ spl4_58 ),
inference(trivial_inequality_removal,[],[f965]) ).
fof(f979,plain,
( ~ spl4_54
| ~ spl4_58 ),
inference(avatar_contradiction_clause,[],[f978]) ).
fof(f1014,plain,
( e2 = e3
| ~ spl4_46
| ~ spl4_63 ),
inference(superposition,[],[f534,f614]) ).
fof(f1023,plain,
( e2 != op(e2,e1)
| spl4_42
| ~ spl4_46
| ~ spl4_63 ),
inference(superposition,[],[f516,f1014]) ).
fof(f1049,plain,
( ~ spl4_63
| spl4_42
| ~ spl4_46
| ~ spl4_63 ),
inference(avatar_split_clause,[],[f1023,f613,f533,f514,f613]) ).
fof(f1056,plain,
( e1 = e3
| ~ spl4_55
| ~ spl4_68 ),
inference(superposition,[],[f575,f641]) ).
fof(f1058,plain,
( e1 != e1
| ~ spl4_55
| ~ spl4_68 ),
inference(superposition,[],[f160,f1056]) ).
fof(f1075,plain,
( e0 = op(e0,e1)
| ~ spl4_55
| ~ spl4_58
| ~ spl4_68 ),
inference(superposition,[],[f590,f1056]) ).
fof(f1080,plain,
( $false
| ~ spl4_55
| ~ spl4_68 ),
inference(trivial_inequality_removal,[],[f1058]) ).
fof(f1081,plain,
( ~ spl4_55
| ~ spl4_68 ),
inference(avatar_contradiction_clause,[],[f1080]) ).
fof(f1084,plain,
( spl4_76
| ~ spl4_55
| ~ spl4_58
| ~ spl4_68 ),
inference(avatar_split_clause,[],[f1075,f639,f588,f574,f684]) ).
fof(f1093,plain,
( e2 = e3
| ~ spl4_57
| ~ spl4_69 ),
inference(superposition,[],[f584,f644]) ).
fof(f1094,plain,
( e2 != e2
| ~ spl4_57
| ~ spl4_69 ),
inference(superposition,[],[f159,f1093]) ).
fof(f1117,plain,
( $false
| ~ spl4_57
| ~ spl4_69 ),
inference(trivial_inequality_removal,[],[f1094]) ).
fof(f1118,plain,
( ~ spl4_57
| ~ spl4_69 ),
inference(avatar_contradiction_clause,[],[f1117]) ).
fof(f1131,plain,
( e1 = e3
| ~ spl4_28
| ~ spl4_35 ),
inference(superposition,[],[f451,f482]) ).
fof(f1134,plain,
( e1 != e1
| ~ spl4_28
| ~ spl4_35 ),
inference(superposition,[],[f160,f1131]) ).
fof(f1150,plain,
( e0 = op(e0,e1)
| ~ spl4_28
| ~ spl4_35
| ~ spl4_58 ),
inference(superposition,[],[f590,f1131]) ).
fof(f1155,plain,
( $false
| ~ spl4_28
| ~ spl4_35 ),
inference(trivial_inequality_removal,[],[f1134]) ).
fof(f1156,plain,
( ~ spl4_28
| ~ spl4_35 ),
inference(avatar_contradiction_clause,[],[f1155]) ).
fof(f1159,plain,
( spl4_76
| ~ spl4_28
| ~ spl4_35
| ~ spl4_58 ),
inference(avatar_split_clause,[],[f1150,f588,f481,f450,f684]) ).
fof(f1211,plain,
( e1 = e3
| ~ spl4_53
| ~ spl4_75 ),
inference(superposition,[],[f566,f678]) ).
fof(f1213,plain,
( e1 != e1
| ~ spl4_53
| ~ spl4_75 ),
inference(superposition,[],[f160,f1211]) ).
fof(f1221,plain,
( e1 != op(e1,e0)
| spl4_43
| ~ spl4_53
| ~ spl4_75 ),
inference(superposition,[],[f521,f1211]) ).
fof(f1237,plain,
( $false
| ~ spl4_53
| ~ spl4_75 ),
inference(trivial_inequality_removal,[],[f1213]) ).
fof(f1238,plain,
( ~ spl4_53
| ~ spl4_75 ),
inference(avatar_contradiction_clause,[],[f1237]) ).
fof(f1249,plain,
( ~ spl4_75
| spl4_43
| ~ spl4_53
| ~ spl4_75 ),
inference(avatar_split_clause,[],[f1221,f677,f565,f519,f677]) ).
fof(f1257,plain,
( e3 != e3
| ~ spl4_77 ),
inference(superposition,[],[f230,f703]) ).
fof(f1258,plain,
( $false
| ~ spl4_77 ),
inference(trivial_inequality_removal,[],[f1257]) ).
fof(f1259,plain,
~ spl4_77,
inference(avatar_contradiction_clause,[],[f1258]) ).
fof(f1264,plain,
( e2 = e3
| ~ spl4_49
| ~ spl4_79 ),
inference(superposition,[],[f549,f711]) ).
fof(f1265,plain,
( e2 != e2
| ~ spl4_49
| ~ spl4_79 ),
inference(superposition,[],[f159,f1264]) ).
fof(f1292,plain,
( $false
| ~ spl4_49
| ~ spl4_79 ),
inference(trivial_inequality_removal,[],[f1265]) ).
fof(f1293,plain,
( ~ spl4_49
| ~ spl4_79 ),
inference(avatar_contradiction_clause,[],[f1292]) ).
fof(f1306,plain,
( e0 = e3
| ~ spl4_58
| ~ spl4_80 ),
inference(superposition,[],[f590,f715]) ).
fof(f1335,plain,
( e0 = op(e0,e0)
| ~ spl4_58
| ~ spl4_80 ),
inference(superposition,[],[f715,f1306]) ).
fof(f1338,plain,
( spl4_92
| ~ spl4_58
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f1335,f713,f588,f791]) ).
fof(f1487,plain,
( e1 = e2
| ~ spl4_68
| ~ spl4_86 ),
inference(superposition,[],[f641,f749]) ).
fof(f1488,plain,
( e1 != e1
| ~ spl4_68
| ~ spl4_86 ),
inference(superposition,[],[f161,f1487]) ).
fof(f1511,plain,
( e1 != op(e1,e0)
| ~ spl4_68
| spl4_74
| ~ spl4_86 ),
inference(superposition,[],[f672,f1487]) ).
fof(f1516,plain,
( $false
| ~ spl4_68
| ~ spl4_86 ),
inference(trivial_inequality_removal,[],[f1488]) ).
fof(f1517,plain,
( ~ spl4_68
| ~ spl4_86 ),
inference(avatar_contradiction_clause,[],[f1516]) ).
fof(f1519,plain,
( ~ spl4_75
| ~ spl4_68
| spl4_74
| ~ spl4_86 ),
inference(avatar_split_clause,[],[f1511,f747,f670,f639,f677]) ).
fof(f1531,plain,
( e1 = e3
| ~ spl4_56
| ~ spl4_80 ),
inference(superposition,[],[f715,f581]) ).
fof(f1560,plain,
( e1 = op(e0,e1)
| ~ spl4_56
| ~ spl4_80 ),
inference(superposition,[],[f715,f1531]) ).
fof(f1566,plain,
( spl4_90
| ~ spl4_56
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f1560,f713,f579,f773]) ).
fof(f1578,plain,
( e0 = e1
| ~ spl4_1
| ~ spl4_4 ),
inference(superposition,[],[f338,f325]) ).
fof(f1581,plain,
( e0 != e0
| ~ spl4_1
| ~ spl4_4 ),
inference(superposition,[],[f164,f1578]) ).
fof(f1605,plain,
( $false
| ~ spl4_1
| ~ spl4_4 ),
inference(trivial_inequality_removal,[],[f1581]) ).
fof(f1606,plain,
( ~ spl4_1
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f1605]) ).
fof(f1621,plain,
( e2 = e3
| ~ spl4_31
| ~ spl4_35 ),
inference(superposition,[],[f482,f464]) ).
fof(f1623,plain,
( e2 != e2
| ~ spl4_31
| ~ spl4_35 ),
inference(superposition,[],[f159,f1621]) ).
fof(f1633,plain,
( e1 != op(e2,e2)
| ~ spl4_31
| ~ spl4_35
| spl4_45 ),
inference(superposition,[],[f530,f1621]) ).
fof(f1648,plain,
( $false
| ~ spl4_31
| ~ spl4_35 ),
inference(trivial_inequality_removal,[],[f1623]) ).
fof(f1649,plain,
( ~ spl4_31
| ~ spl4_35 ),
inference(avatar_contradiction_clause,[],[f1648]) ).
fof(f1656,plain,
( ~ spl4_13
| ~ spl4_31
| ~ spl4_35
| spl4_45 ),
inference(avatar_split_clause,[],[f1633,f529,f481,f463,f379]) ).
fof(f1666,plain,
( e2 = e3
| ~ spl4_43
| ~ spl4_62 ),
inference(superposition,[],[f520,f608]) ).
fof(f1669,plain,
( e2 != e2
| ~ spl4_43
| ~ spl4_62 ),
inference(superposition,[],[f159,f1666]) ).
fof(f1691,plain,
( e2 = op(e2,e0)
| ~ spl4_43
| ~ spl4_62 ),
inference(superposition,[],[f608,f1666]) ).
fof(f1696,plain,
( $false
| ~ spl4_43
| ~ spl4_62 ),
inference(trivial_inequality_removal,[],[f1669]) ).
fof(f1697,plain,
( ~ spl4_43
| ~ spl4_62 ),
inference(avatar_contradiction_clause,[],[f1696]) ).
fof(f1698,plain,
( spl4_64
| ~ spl4_43
| ~ spl4_62 ),
inference(avatar_split_clause,[],[f1691,f607,f519,f618]) ).
fof(f1710,plain,
( e1 = e2
| ~ spl4_4
| ~ spl4_8 ),
inference(superposition,[],[f338,f356]) ).
fof(f1712,plain,
( e1 != e1
| ~ spl4_4
| ~ spl4_8 ),
inference(superposition,[],[f161,f1710]) ).
fof(f1734,plain,
( $false
| ~ spl4_4
| ~ spl4_8 ),
inference(trivial_inequality_removal,[],[f1712]) ).
fof(f1735,plain,
( ~ spl4_4
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f1734]) ).
fof(f1783,plain,
( e0 = e3
| ~ spl4_50
| ~ spl4_66 ),
inference(superposition,[],[f552,f631]) ).
fof(f1786,plain,
( e0 != e0
| ~ spl4_50
| ~ spl4_66 ),
inference(superposition,[],[f162,f1783]) ).
fof(f1798,plain,
( e1 != op(e1,e0)
| ~ spl4_50
| spl4_51
| ~ spl4_66 ),
inference(superposition,[],[f557,f1783]) ).
fof(f1810,plain,
( $false
| ~ spl4_50
| ~ spl4_66 ),
inference(trivial_inequality_removal,[],[f1786]) ).
fof(f1811,plain,
( ~ spl4_50
| ~ spl4_66 ),
inference(avatar_contradiction_clause,[],[f1810]) ).
fof(f1814,plain,
( ~ spl4_75
| ~ spl4_50
| spl4_51
| ~ spl4_66 ),
inference(avatar_split_clause,[],[f1798,f629,f556,f551,f677]) ).
fof(f1828,plain,
( e0 = e3
| ~ spl4_47
| ~ spl4_78 ),
inference(superposition,[],[f540,f707]) ).
fof(f1856,plain,
( e0 = op(e2,e0)
| ~ spl4_47
| ~ spl4_78 ),
inference(superposition,[],[f707,f1828]) ).
fof(f1861,plain,
( spl4_88
| ~ spl4_47
| ~ spl4_78 ),
inference(avatar_split_clause,[],[f1856,f705,f538,f760]) ).
fof(f1878,plain,
( e0 = e1
| ~ spl4_71
| ~ spl4_82 ),
inference(superposition,[],[f657,f728]) ).
fof(f1881,plain,
( e0 != e0
| ~ spl4_71
| ~ spl4_82 ),
inference(superposition,[],[f164,f1878]) ).
fof(f1905,plain,
( e0 = op(e3,e0)
| ~ spl4_71
| ~ spl4_82 ),
inference(superposition,[],[f728,f1878]) ).
fof(f1906,plain,
( $false
| ~ spl4_71
| ~ spl4_82 ),
inference(trivial_inequality_removal,[],[f1881]) ).
fof(f1907,plain,
( ~ spl4_71
| ~ spl4_82 ),
inference(avatar_contradiction_clause,[],[f1906]) ).
fof(f1908,plain,
( spl4_83
| ~ spl4_71
| ~ spl4_82 ),
inference(avatar_split_clause,[],[f1905,f726,f655,f732]) ).
fof(f1924,plain,
( e0 = e3
| ~ spl4_43
| ~ spl4_83 ),
inference(superposition,[],[f520,f734]) ).
fof(f1928,plain,
( e0 != e0
| ~ spl4_43
| ~ spl4_83 ),
inference(superposition,[],[f162,f1924]) ).
fof(f1957,plain,
( $false
| ~ spl4_43
| ~ spl4_83 ),
inference(trivial_inequality_removal,[],[f1928]) ).
fof(f1958,plain,
( ~ spl4_43
| ~ spl4_83 ),
inference(avatar_contradiction_clause,[],[f1957]) ).
fof(f1968,plain,
( e2 = e3
| ~ spl4_50
| ~ spl4_85 ),
inference(superposition,[],[f552,f745]) ).
fof(f1970,plain,
( e0 = e2
| ~ spl4_70
| ~ spl4_86 ),
inference(superposition,[],[f650,f749]) ).
fof(f1973,plain,
( e2 != e2
| ~ spl4_50
| ~ spl4_85 ),
inference(superposition,[],[f159,f1968]) ).
fof(f2004,plain,
( $false
| ~ spl4_50
| ~ spl4_85 ),
inference(trivial_inequality_removal,[],[f1973]) ).
fof(f2005,plain,
( ~ spl4_50
| ~ spl4_85 ),
inference(avatar_contradiction_clause,[],[f2004]) ).
fof(f2022,plain,
( e0 != e0
| ~ spl4_70
| ~ spl4_86 ),
inference(superposition,[],[f163,f1970]) ).
fof(f2047,plain,
( $false
| ~ spl4_70
| ~ spl4_86 ),
inference(trivial_inequality_removal,[],[f2022]) ).
fof(f2048,plain,
( ~ spl4_70
| ~ spl4_86 ),
inference(avatar_contradiction_clause,[],[f2047]) ).
fof(f2063,plain,
( e2 = e3
| ~ spl4_22
| ~ spl4_26 ),
inference(superposition,[],[f422,f440]) ).
fof(f2066,plain,
( e2 != e2
| ~ spl4_22
| ~ spl4_26 ),
inference(superposition,[],[f159,f2063]) ).
fof(f2072,plain,
( e2 = op(e2,e2)
| ~ spl4_8
| ~ spl4_22
| ~ spl4_26 ),
inference(superposition,[],[f356,f2063]) ).
fof(f2097,plain,
( $false
| ~ spl4_22
| ~ spl4_26 ),
inference(trivial_inequality_removal,[],[f2066]) ).
fof(f2098,plain,
( ~ spl4_22
| ~ spl4_26 ),
inference(avatar_contradiction_clause,[],[f2097]) ).
fof(f2109,plain,
( spl4_84
| ~ spl4_8
| ~ spl4_22
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f2072,f439,f421,f355,f739]) ).
fof(f2114,plain,
( e0 = e1
| ~ spl4_65
| ~ spl4_66 ),
inference(superposition,[],[f626,f631]) ).
fof(f2132,plain,
( e0 = op(e0,e2)
| ~ spl4_65
| ~ spl4_66 ),
inference(superposition,[],[f631,f2114]) ).
fof(f2143,plain,
( spl4_70
| ~ spl4_65
| ~ spl4_66 ),
inference(avatar_split_clause,[],[f2132,f629,f624,f648]) ).
fof(f2152,plain,
( e1 = e2
| ~ spl4_67
| ~ spl4_75 ),
inference(superposition,[],[f678,f634]) ).
fof(f2153,plain,
( e1 != e1
| ~ spl4_67
| ~ spl4_75 ),
inference(superposition,[],[f161,f2152]) ).
fof(f2179,plain,
( $false
| ~ spl4_67
| ~ spl4_75 ),
inference(trivial_inequality_removal,[],[f2153]) ).
fof(f2180,plain,
( ~ spl4_67
| ~ spl4_75 ),
inference(avatar_contradiction_clause,[],[f2179]) ).
fof(f2203,plain,
( e0 = e3
| ~ spl4_57
| ~ spl4_76 ),
inference(superposition,[],[f584,f686]) ).
fof(f2206,plain,
( e0 != e0
| ~ spl4_57
| ~ spl4_76 ),
inference(superposition,[],[f162,f2203]) ).
fof(f2211,plain,
( e0 = op(e0,e2)
| ~ spl4_41
| ~ spl4_57
| ~ spl4_76 ),
inference(superposition,[],[f510,f2203]) ).
fof(f2212,plain,
( e0 != op(e0,e1)
| spl4_42
| ~ spl4_57
| ~ spl4_76 ),
inference(superposition,[],[f516,f2203]) ).
fof(f2235,plain,
( $false
| ~ spl4_57
| ~ spl4_76 ),
inference(trivial_inequality_removal,[],[f2206]) ).
fof(f2236,plain,
( ~ spl4_57
| ~ spl4_76 ),
inference(avatar_contradiction_clause,[],[f2235]) ).
fof(f2246,plain,
( ~ spl4_76
| spl4_42
| ~ spl4_57
| ~ spl4_76 ),
inference(avatar_split_clause,[],[f2212,f684,f583,f514,f684]) ).
fof(f2247,plain,
( spl4_70
| ~ spl4_41
| ~ spl4_57
| ~ spl4_76 ),
inference(avatar_split_clause,[],[f2211,f684,f583,f509,f648]) ).
fof(f2258,plain,
( e1 != e1
| ~ spl4_89 ),
inference(superposition,[],[f232,f771]) ).
fof(f2259,plain,
( $false
| ~ spl4_89 ),
inference(trivial_inequality_removal,[],[f2258]) ).
fof(f2260,plain,
~ spl4_89,
inference(avatar_contradiction_clause,[],[f2259]) ).
fof(f2263,plain,
( e0 = e1
| ~ spl4_76
| ~ spl4_90 ),
inference(superposition,[],[f686,f775]) ).
fof(f2265,plain,
( e0 != e0
| ~ spl4_76
| ~ spl4_90 ),
inference(superposition,[],[f164,f2263]) ).
fof(f2288,plain,
( e3 != op(e0,e3)
| ~ spl4_76
| spl4_79
| ~ spl4_90 ),
inference(superposition,[],[f710,f2263]) ).
fof(f2293,plain,
( $false
| ~ spl4_76
| ~ spl4_90 ),
inference(trivial_inequality_removal,[],[f2265]) ).
fof(f2294,plain,
( ~ spl4_76
| ~ spl4_90 ),
inference(avatar_contradiction_clause,[],[f2293]) ).
fof(f2296,plain,
( ~ spl4_80
| ~ spl4_76
| spl4_79
| ~ spl4_90 ),
inference(avatar_split_clause,[],[f2288,f773,f709,f684,f713]) ).
fof(f2307,plain,
( e0 = e2
| ~ spl4_67
| ~ spl4_91 ),
inference(superposition,[],[f634,f782]) ).
fof(f2310,plain,
( e0 != e0
| ~ spl4_67
| ~ spl4_91 ),
inference(superposition,[],[f163,f2307]) ).
fof(f2339,plain,
( $false
| ~ spl4_67
| ~ spl4_91 ),
inference(trivial_inequality_removal,[],[f2310]) ).
fof(f2340,plain,
( ~ spl4_67
| ~ spl4_91 ),
inference(avatar_contradiction_clause,[],[f2339]) ).
fof(f2356,plain,
( e0 != e0
| ~ spl4_92 ),
inference(superposition,[],[f233,f793]) ).
fof(f2357,plain,
( $false
| ~ spl4_92 ),
inference(trivial_inequality_removal,[],[f2356]) ).
fof(f2358,plain,
~ spl4_92,
inference(avatar_contradiction_clause,[],[f2357]) ).
fof(f2359,plain,
( e2 != op(e3,e2)
| ~ spl4_8 ),
inference(superposition,[],[f111,f356]) ).
fof(f2360,plain,
( e2 != op(e3,e1)
| ~ spl4_8 ),
inference(superposition,[],[f112,f356]) ).
fof(f2361,plain,
( e3 != op(e3,e1)
| ~ spl4_41 ),
inference(superposition,[],[f113,f510]) ).
fof(f2363,plain,
( e3 != op(e3,e0)
| ~ spl4_41 ),
inference(superposition,[],[f115,f510]) ).
fof(f2364,plain,
( e1 != op(e3,e0)
| ~ spl4_82 ),
inference(superposition,[],[f116,f728]) ).
fof(f2365,plain,
( e0 != op(e2,e2)
| ~ spl4_47 ),
inference(superposition,[],[f117,f540]) ).
fof(f2366,plain,
( e0 != op(e2,e1)
| ~ spl4_47 ),
inference(superposition,[],[f118,f540]) ).
fof(f2367,plain,
( e1 != op(e2,e1)
| ~ spl4_13 ),
inference(superposition,[],[f119,f380]) ).
fof(f2368,plain,
( e0 != op(e2,e0)
| ~ spl4_47 ),
inference(superposition,[],[f120,f540]) ).
fof(f2369,plain,
( e1 != op(e2,e0)
| ~ spl4_13 ),
inference(superposition,[],[f121,f380]) ).
fof(f2370,plain,
( e2 != op(e2,e0)
| ~ spl4_63 ),
inference(superposition,[],[f122,f614]) ).
fof(f2371,plain,
( e1 != op(e1,e2)
| ~ spl4_51 ),
inference(superposition,[],[f123,f558]) ).
fof(f2373,plain,
( e0 != op(e1,e1)
| ~ spl4_66 ),
inference(superposition,[],[f125,f631]) ).
fof(f2374,plain,
( e1 != op(e1,e0)
| ~ spl4_51 ),
inference(superposition,[],[f126,f558]) ).
fof(f2375,plain,
( e0 != op(e1,e0)
| ~ spl4_66 ),
inference(superposition,[],[f127,f631]) ).
fof(f2376,plain,
( e3 != op(e1,e0)
| ~ spl4_26 ),
inference(superposition,[],[f128,f440]) ).
fof(f2377,plain,
( e3 != op(e0,e2)
| ~ spl4_80 ),
inference(superposition,[],[f129,f715]) ).
fof(f2378,plain,
( e3 != op(e0,e1)
| ~ spl4_80 ),
inference(superposition,[],[f130,f715]) ).
fof(f2380,plain,
( op(e0,e0) != e3
| ~ spl4_80 ),
inference(superposition,[],[f132,f715]) ).
fof(f2383,plain,
( e2 != op(e2,e3)
| ~ spl4_8 ),
inference(superposition,[],[f135,f356]) ).
fof(f2384,plain,
( e2 != op(e1,e3)
| ~ spl4_8 ),
inference(superposition,[],[f136,f356]) ).
fof(f2385,plain,
( e0 != op(e1,e3)
| ~ spl4_47 ),
inference(superposition,[],[f137,f540]) ).
fof(f2386,plain,
( e2 != op(e0,e3)
| ~ spl4_8 ),
inference(superposition,[],[f138,f356]) ).
fof(f2387,plain,
( e0 != op(e0,e3)
| ~ spl4_47 ),
inference(superposition,[],[f139,f540]) ).
fof(f2388,plain,
( e1 != op(e0,e3)
| ~ spl4_51 ),
inference(superposition,[],[f140,f558]) ).
fof(f2389,plain,
( e3 != op(e2,e2)
| ~ spl4_41 ),
inference(superposition,[],[f141,f510]) ).
fof(f2391,plain,
( e1 != op(e1,e2)
| ~ spl4_13 ),
inference(superposition,[],[f143,f380]) ).
fof(f2392,plain,
( e3 != op(e0,e2)
| ~ spl4_41 ),
inference(superposition,[],[f144,f510]) ).
fof(f2393,plain,
( e1 != op(e0,e2)
| ~ spl4_13 ),
inference(superposition,[],[f145,f380]) ).
fof(f2394,plain,
( e0 != op(e0,e2)
| ~ spl4_66 ),
inference(superposition,[],[f146,f631]) ).
fof(f2395,plain,
( e1 != op(e2,e1)
| ~ spl4_82 ),
inference(superposition,[],[f147,f728]) ).
fof(f2398,plain,
( e1 != op(e0,e1)
| ~ spl4_82 ),
inference(superposition,[],[f150,f728]) ).
fof(f2399,plain,
( e2 != op(e0,e1)
| ~ spl4_63 ),
inference(superposition,[],[f151,f614]) ).
fof(f2400,plain,
( e3 != op(e0,e1)
| ~ spl4_26 ),
inference(superposition,[],[f152,f440]) ).
fof(f2401,plain,
( e0 != op(e2,e0)
| ~ spl4_83 ),
inference(superposition,[],[f153,f734]) ).
fof(f2402,plain,
( e0 != op(e1,e0)
| ~ spl4_83 ),
inference(superposition,[],[f154,f734]) ).
fof(f2403,plain,
( e3 != op(e1,e0)
| ~ spl4_48 ),
inference(superposition,[],[f155,f543]) ).
fof(f2405,plain,
( op(e0,e0) != e3
| ~ spl4_48 ),
inference(superposition,[],[f157,f543]) ).
fof(f2406,plain,
( op(e0,e0) != e2
| ~ spl4_67 ),
inference(superposition,[],[f158,f634]) ).
fof(f2407,plain,
( e1 != op(e2,e3)
| spl4_2
| ~ spl4_8 ),
inference(superposition,[],[f330,f356]) ).
fof(f2408,plain,
( e0 != op(e2,e3)
| spl4_5
| ~ spl4_8 ),
inference(superposition,[],[f343,f356]) ).
fof(f2409,plain,
( ~ spl4_47
| spl4_5
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f2408,f355,f341,f538]) ).
fof(f2415,plain,
( e0 != op(e1,e2)
| ~ spl4_13
| spl4_14 ),
inference(superposition,[],[f385,f380]) ).
fof(f2416,plain,
( ~ spl4_66
| ~ spl4_13
| spl4_14 ),
inference(avatar_split_clause,[],[f2415,f383,f379,f629]) ).
fof(f2419,plain,
( e3 != op(e1,e2)
| ~ spl4_13
| spl4_15 ),
inference(superposition,[],[f390,f380]) ).
fof(f2421,plain,
( e2 != op(e3,e1)
| spl4_20
| ~ spl4_26 ),
inference(superposition,[],[f414,f440]) ).
fof(f2422,plain,
( e0 != op(e3,e1)
| spl4_23
| ~ spl4_26 ),
inference(superposition,[],[f427,f440]) ).
fof(f2423,plain,
( e3 != op(e3,e1)
| spl4_24
| ~ spl4_26 ),
inference(superposition,[],[f432,f440]) ).
fof(f2424,plain,
( e2 != op(e1,e0)
| ~ spl4_28
| spl4_29 ),
inference(superposition,[],[f456,f451]) ).
fof(f2425,plain,
( ~ spl4_67
| ~ spl4_28
| spl4_29 ),
inference(avatar_split_clause,[],[f2424,f454,f450,f633]) ).
fof(f2429,plain,
( e3 != op(e1,e0)
| ~ spl4_28
| spl4_33 ),
inference(superposition,[],[f474,f451]) ).
fof(f2435,plain,
( e1 != op(e0,e3)
| ~ spl4_5
| spl4_7 ),
inference(superposition,[],[f352,f342]) ).
fof(f2441,plain,
( e3 != op(e0,e2)
| spl4_12
| ~ spl4_14 ),
inference(superposition,[],[f376,f384]) ).
fof(f2463,plain,
( e3 != op(e2,e0)
| ~ spl4_29
| spl4_30 ),
inference(superposition,[],[f460,f455]) ).
fof(f2464,plain,
( ~ spl4_48
| ~ spl4_29
| spl4_30 ),
inference(avatar_split_clause,[],[f2463,f458,f454,f542]) ).
fof(f2465,plain,
( ~ spl4_88
| ~ spl4_47 ),
inference(avatar_split_clause,[],[f2368,f538,f760]) ).
fof(f2466,plain,
( ~ spl4_88
| ~ spl4_83 ),
inference(avatar_split_clause,[],[f2401,f732,f760]) ).
fof(f2467,plain,
( ~ spl4_87
| ~ spl4_82 ),
inference(avatar_split_clause,[],[f2395,f726,f754]) ).
fof(f2468,plain,
( ~ spl4_60
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f2360,f355,f598]) ).
fof(f2469,plain,
( ~ spl4_60
| spl4_20
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f2421,f439,f412,f598]) ).
fof(f2470,plain,
( ~ spl4_53
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f2376,f439,f565]) ).
fof(f2471,plain,
( ~ spl4_53
| ~ spl4_28
| spl4_33 ),
inference(avatar_split_clause,[],[f2429,f472,f450,f565]) ).
fof(f2472,plain,
( ~ spl4_44
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f2383,f355,f524]) ).
fof(f2474,plain,
( ~ spl4_17
| ~ spl4_41 ),
inference(avatar_split_clause,[],[f2389,f509,f397]) ).
fof(f2475,plain,
( ~ spl4_19
| ~ spl4_66 ),
inference(avatar_split_clause,[],[f2373,f629,f408]) ).
fof(f2476,plain,
( ~ spl4_42
| spl4_24
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f2423,f439,f430,f514]) ).
fof(f2477,plain,
( e0 != op(e3,e2)
| ~ spl4_1 ),
inference(superposition,[],[f111,f325]) ).
fof(f2478,plain,
( e0 != op(e3,e1)
| ~ spl4_1 ),
inference(superposition,[],[f112,f325]) ).
fof(f2479,plain,
( e0 != op(e3,e0)
| ~ spl4_1 ),
inference(superposition,[],[f114,f325]) ).
fof(f2480,plain,
( e0 != op(e2,e3)
| ~ spl4_1 ),
inference(superposition,[],[f135,f325]) ).
fof(f2481,plain,
( e0 != op(e1,e3)
| ~ spl4_1 ),
inference(superposition,[],[f136,f325]) ).
fof(f2482,plain,
( e0 != op(e0,e3)
| ~ spl4_1 ),
inference(superposition,[],[f138,f325]) ).
fof(f2484,plain,
( e1 != op(e0,e3)
| ~ spl4_1
| spl4_2 ),
inference(superposition,[],[f330,f325]) ).
fof(f2488,plain,
( e2 != op(e0,e3)
| ~ spl4_1
| spl4_6 ),
inference(superposition,[],[f348,f325]) ).
fof(f2493,plain,
( e3 != op(e2,e1)
| ~ spl4_17 ),
inference(superposition,[],[f119,f398]) ).
fof(f2494,plain,
( e3 != op(e2,e0)
| ~ spl4_17 ),
inference(superposition,[],[f121,f398]) ).
fof(f2495,plain,
( e3 != op(e1,e2)
| ~ spl4_17 ),
inference(superposition,[],[f143,f398]) ).
fof(f2496,plain,
( e3 != op(e0,e2)
| ~ spl4_17 ),
inference(superposition,[],[f145,f398]) ).
fof(f2499,plain,
( e1 != op(e3,e2)
| spl4_11
| ~ spl4_17 ),
inference(superposition,[],[f372,f398]) ).
fof(f2504,plain,
( e1 != op(op(e3,e2),e2)
| spl4_16
| ~ spl4_17 ),
inference(superposition,[],[f394,f398]) ).
fof(f2507,plain,
( ~ spl4_59
| spl4_11
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f2499,f397,f370,f594]) ).
fof(f2518,plain,
( e3 != op(e2,e0)
| ~ spl4_43 ),
inference(superposition,[],[f153,f520]) ).
fof(f2519,plain,
( e3 != op(e1,e0)
| ~ spl4_43 ),
inference(superposition,[],[f154,f520]) ).
fof(f2520,plain,
( op(e0,e0) != e3
| ~ spl4_43 ),
inference(superposition,[],[f156,f520]) ).
fof(f2524,plain,
( e2 != op(e2,e1)
| ~ spl4_44 ),
inference(superposition,[],[f118,f526]) ).
fof(f2525,plain,
( e2 != op(e2,e0)
| ~ spl4_44 ),
inference(superposition,[],[f120,f526]) ).
fof(f2526,plain,
( e2 != op(e1,e3)
| ~ spl4_44 ),
inference(superposition,[],[f137,f526]) ).
fof(f2527,plain,
( e2 != op(e0,e3)
| ~ spl4_44 ),
inference(superposition,[],[f139,f526]) ).
fof(f2532,plain,
( e1 != op(e3,e1)
| ~ spl4_59 ),
inference(superposition,[],[f113,f596]) ).
fof(f2533,plain,
( e1 != op(e3,e0)
| ~ spl4_59 ),
inference(superposition,[],[f115,f596]) ).
fof(f2534,plain,
( e1 != op(e2,e2)
| ~ spl4_59 ),
inference(superposition,[],[f141,f596]) ).
fof(f2535,plain,
( e1 != op(e1,e2)
| ~ spl4_59 ),
inference(superposition,[],[f142,f596]) ).
fof(f2536,plain,
( e1 != op(e0,e2)
| ~ spl4_59 ),
inference(superposition,[],[f144,f596]) ).
fof(f2541,plain,
( e2 != op(e2,e1)
| ~ spl4_60 ),
inference(superposition,[],[f147,f599]) ).
fof(f2543,plain,
( e2 != op(e0,e1)
| ~ spl4_60 ),
inference(superposition,[],[f150,f599]) ).
fof(f2548,plain,
( e1 != op(e2,e0)
| ~ spl4_87 ),
inference(superposition,[],[f122,f756]) ).
fof(f2550,plain,
( e1 != op(e0,e1)
| ~ spl4_87 ),
inference(superposition,[],[f151,f756]) ).
fof(f2556,plain,
( e0 != op(e1,e0)
| ~ spl4_88 ),
inference(superposition,[],[f155,f762]) ).
fof(f2560,plain,
( e1 = op(e3,e2)
| ~ spl4_11
| ~ spl4_17 ),
inference(superposition,[],[f371,f398]) ).
fof(f2561,plain,
( e0 != op(e1,e2)
| ~ spl4_11
| spl4_18 ),
inference(superposition,[],[f404,f371]) ).
fof(f2563,plain,
( e3 != op(e1,e2)
| ~ spl4_11
| spl4_12 ),
inference(superposition,[],[f376,f371]) ).
fof(f2565,plain,
( ~ spl4_66
| ~ spl4_11
| spl4_18 ),
inference(avatar_split_clause,[],[f2561,f402,f370,f629]) ).
fof(f2566,plain,
( ~ spl4_91
| ~ spl4_88 ),
inference(avatar_split_clause,[],[f2556,f760,f780]) ).
fof(f2567,plain,
( ~ spl4_90
| ~ spl4_87 ),
inference(avatar_split_clause,[],[f2550,f754,f773]) ).
fof(f2568,plain,
( ~ spl4_75
| ~ spl4_51 ),
inference(avatar_split_clause,[],[f2374,f556,f677]) ).
fof(f2569,plain,
( ~ spl4_71
| spl4_23
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f2422,f439,f425,f655]) ).
fof(f2570,plain,
( ~ spl4_71
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f2478,f324,f655]) ).
fof(f2575,plain,
( e1 != op(e2,e0)
| ~ spl4_31
| spl4_32 ),
inference(superposition,[],[f469,f464]) ).
fof(f2577,plain,
( ~ spl4_74
| ~ spl4_31
| spl4_32 ),
inference(avatar_split_clause,[],[f2575,f467,f463,f670]) ).
fof(f2580,plain,
( e0 != op(e0,e1)
| ~ spl4_70 ),
inference(superposition,[],[f131,f650]) ).
fof(f2584,plain,
( e0 != op(e2,e0)
| ~ spl4_73 ),
inference(superposition,[],[f122,f668]) ).
fof(f2585,plain,
( e0 != op(e1,e1)
| ~ spl4_73 ),
inference(superposition,[],[f149,f668]) ).
fof(f2590,plain,
( op(e0,e0) != e1
| ~ spl4_74 ),
inference(superposition,[],[f157,f671]) ).
fof(f2591,plain,
( e1 != op(e1,e0)
| ~ spl4_74 ),
inference(superposition,[],[f155,f671]) ).
fof(f2593,plain,
( e2 != op(e1,e1)
| ~ spl4_85 ),
inference(superposition,[],[f125,f745]) ).
fof(f2594,plain,
( e2 != op(e1,e0)
| ~ spl4_85 ),
inference(superposition,[],[f127,f745]) ).
fof(f2595,plain,
( e2 != op(e0,e2)
| ~ spl4_85 ),
inference(superposition,[],[f146,f745]) ).
fof(f2610,plain,
( e0 != op(e3,e2)
| spl4_14
| ~ spl4_17 ),
inference(superposition,[],[f385,f398]) ).
fof(f2613,plain,
( e0 != op(e2,e1)
| ~ spl4_20
| spl4_27 ),
inference(superposition,[],[f446,f413]) ).
fof(f2619,plain,
( ~ spl4_73
| ~ spl4_20
| spl4_27 ),
inference(avatar_split_clause,[],[f2613,f444,f412,f666]) ).
fof(f2620,plain,
( ~ spl4_57
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f2378,f713,f583]) ).
fof(f2621,plain,
( ~ spl4_53
| ~ spl4_43 ),
inference(avatar_split_clause,[],[f2519,f519,f565]) ).
fof(f2622,plain,
( ~ spl4_19
| ~ spl4_73 ),
inference(avatar_split_clause,[],[f2585,f666,f408]) ).
fof(f2623,plain,
( ~ spl4_72
| ~ spl4_59 ),
inference(avatar_split_clause,[],[f2533,f594,f659]) ).
fof(f2624,plain,
( ~ spl4_65
| ~ spl4_51 ),
inference(avatar_split_clause,[],[f2371,f556,f624]) ).
fof(f2625,plain,
( ~ spl4_65
| ~ spl4_59 ),
inference(avatar_split_clause,[],[f2535,f594,f624]) ).
fof(f2628,plain,
( ~ spl4_22
| ~ spl4_85 ),
inference(avatar_split_clause,[],[f2593,f743,f421]) ).
fof(f2629,plain,
( ~ spl4_73
| ~ spl4_47 ),
inference(avatar_split_clause,[],[f2366,f538,f666]) ).
fof(f2630,plain,
( ~ spl4_74
| ~ spl4_87 ),
inference(avatar_split_clause,[],[f2548,f754,f670]) ).
fof(f2631,plain,
( ~ spl4_56
| ~ spl4_51 ),
inference(avatar_split_clause,[],[f2388,f556,f579]) ).
fof(f2632,plain,
( ~ spl4_56
| ~ spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f2484,f328,f324,f579]) ).
fof(f2633,plain,
( ~ spl4_47
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f2480,f324,f538]) ).
fof(f2634,plain,
( e0 != op(e1,e0)
| ~ spl4_19 ),
inference(superposition,[],[f128,f409]) ).
fof(f2635,plain,
( e0 != op(e0,e1)
| ~ spl4_19 ),
inference(superposition,[],[f152,f409]) ).
fof(f2638,plain,
( e3 != op(e0,e1)
| ~ spl4_19
| spl4_24 ),
inference(superposition,[],[f432,f409]) ).
fof(f2641,plain,
( ~ spl4_57
| ~ spl4_19
| spl4_24 ),
inference(avatar_split_clause,[],[f2638,f430,f408,f583]) ).
fof(f2645,plain,
( e3 != op(e3,e0)
| ~ spl4_42 ),
inference(superposition,[],[f116,f515]) ).
fof(f2648,plain,
( e3 != op(e0,e1)
| ~ spl4_42 ),
inference(superposition,[],[f150,f515]) ).
fof(f2652,plain,
( ~ spl4_57
| ~ spl4_42 ),
inference(avatar_split_clause,[],[f2648,f514,f583]) ).
fof(f2653,plain,
( ~ spl4_43
| ~ spl4_42 ),
inference(avatar_split_clause,[],[f2645,f514,f519]) ).
fof(f2661,plain,
( e1 != op(e0,e2)
| ~ spl4_56 ),
inference(superposition,[],[f129,f581]) ).
fof(f2662,plain,
( e1 != op(e0,e1)
| ~ spl4_56 ),
inference(superposition,[],[f130,f581]) ).
fof(f2663,plain,
( op(e0,e0) != e1
| ~ spl4_56 ),
inference(superposition,[],[f132,f581]) ).
fof(f2667,plain,
( op(e0,e0) != e3
| ~ spl4_57 ),
inference(superposition,[],[f134,f584]) ).
fof(f2673,plain,
( op(e0,e0) != e1
| ~ spl4_75 ),
inference(superposition,[],[f158,f678]) ).
fof(f2675,plain,
( e3 != op(e1,e1)
| ~ spl4_79 ),
inference(superposition,[],[f124,f711]) ).
fof(f2676,plain,
( e3 != op(e1,e0)
| ~ spl4_79 ),
inference(superposition,[],[f126,f711]) ).
fof(f2677,plain,
( e3 != op(e0,e3)
| ~ spl4_79 ),
inference(superposition,[],[f140,f711]) ).
fof(f2695,plain,
( e1 = op(e0,e3)
| ~ spl4_1
| ~ spl4_2 ),
inference(superposition,[],[f329,f325]) ).
fof(f2697,plain,
( e0 != op(e1,e3)
| ~ spl4_2
| spl4_9 ),
inference(superposition,[],[f362,f329]) ).
fof(f2699,plain,
( e2 != op(e1,e3)
| ~ spl4_2
| spl4_3 ),
inference(superposition,[],[f334,f329]) ).
fof(f2701,plain,
( e2 != op(e0,e1)
| ~ spl4_19
| spl4_20 ),
inference(superposition,[],[f414,f409]) ).
fof(f2702,plain,
( e3 = op(e0,e1)
| ~ spl4_19
| ~ spl4_24 ),
inference(superposition,[],[f431,f409]) ).
fof(f2704,plain,
( e0 != op(e3,e1)
| ~ spl4_24
| spl4_27 ),
inference(superposition,[],[f446,f431]) ).
fof(f2705,plain,
( e2 != op(e3,e1)
| ~ spl4_24
| spl4_25 ),
inference(superposition,[],[f436,f431]) ).
fof(f2707,plain,
( ~ spl4_60
| ~ spl4_24
| spl4_25 ),
inference(avatar_split_clause,[],[f2705,f434,f430,f598]) ).
fof(f2708,plain,
( ~ spl4_83
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f2479,f324,f732]) ).
fof(f2709,plain,
( ~ spl4_76
| ~ spl4_70 ),
inference(avatar_split_clause,[],[f2580,f648,f684]) ).
fof(f2711,plain,
( ~ spl4_76
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f2635,f408,f684]) ).
fof(f2712,plain,
( ~ spl4_64
| ~ spl4_44 ),
inference(avatar_split_clause,[],[f2525,f524,f618]) ).
fof(f2713,plain,
( spl4_56
| ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f2695,f328,f324,f579]) ).
fof(f2714,plain,
( ~ spl4_55
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f2496,f397,f574]) ).
fof(f2715,plain,
( ~ spl4_54
| ~ spl4_1
| spl4_6 ),
inference(avatar_split_clause,[],[f2488,f346,f324,f570]) ).
fof(f2716,plain,
( ~ spl4_54
| ~ spl4_44 ),
inference(avatar_split_clause,[],[f2527,f524,f570]) ).
fof(f2717,plain,
( ~ spl4_53
| ~ spl4_79 ),
inference(avatar_split_clause,[],[f2676,f709,f565]) ).
fof(f2719,plain,
( ~ spl4_10
| ~ spl4_47 ),
inference(avatar_split_clause,[],[f2365,f538,f366]) ).
fof(f2720,plain,
( ~ spl4_35
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f2380,f713,f481]) ).
fof(f2721,plain,
( ~ spl4_69
| ~ spl4_60 ),
inference(avatar_split_clause,[],[f2543,f598,f643]) ).
fof(f2722,plain,
( ~ spl4_69
| ~ spl4_19
| spl4_20 ),
inference(avatar_split_clause,[],[f2701,f412,f408,f643]) ).
fof(f2723,plain,
( ~ spl4_68
| ~ spl4_59 ),
inference(avatar_split_clause,[],[f2536,f594,f639]) ).
fof(f2724,plain,
( ~ spl4_50
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f2495,f397,f551]) ).
fof(f2725,plain,
( ~ spl4_50
| ~ spl4_11
| spl4_12 ),
inference(avatar_split_clause,[],[f2563,f374,f370,f551]) ).
fof(f2726,plain,
( ~ spl4_49
| ~ spl4_2
| spl4_3 ),
inference(avatar_split_clause,[],[f2699,f332,f328,f547]) ).
fof(f2727,plain,
( ~ spl4_57
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f2400,f439,f583]) ).
fof(f2728,plain,
( ~ spl4_49
| ~ spl4_44 ),
inference(avatar_split_clause,[],[f2526,f524,f547]) ).
fof(f2729,plain,
( ~ spl4_68
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f2661,f579,f639]) ).
fof(f2730,plain,
( ~ spl4_26
| ~ spl4_79 ),
inference(avatar_split_clause,[],[f2675,f709,f439]) ).
fof(f2731,plain,
( ~ spl4_80
| ~ spl4_79 ),
inference(avatar_split_clause,[],[f2677,f709,f713]) ).
fof(f2732,plain,
( ~ spl4_52
| ~ spl4_2
| spl4_9 ),
inference(avatar_split_clause,[],[f2697,f360,f328,f561]) ).
fof(f2733,plain,
( ~ spl4_75
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f2591,f670,f677]) ).
fof(f2734,plain,
( ~ spl4_46
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f2493,f397,f533]) ).
fof(f2735,plain,
( ~ spl4_52
| ~ spl4_47 ),
inference(avatar_split_clause,[],[f2385,f538,f561]) ).
fof(f2736,plain,
( ~ spl4_55
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f2377,f713,f574]) ).
fof(f2737,plain,
( ~ spl4_48
| ~ spl4_43 ),
inference(avatar_split_clause,[],[f2518,f519,f542]) ).
fof(f2738,plain,
( ~ spl4_43
| ~ spl4_41 ),
inference(avatar_split_clause,[],[f2363,f509,f519]) ).
fof(f2740,plain,
( ~ spl4_91
| ~ spl4_83 ),
inference(avatar_split_clause,[],[f2402,f732,f780]) ).
fof(f2741,plain,
( ~ spl4_90
| ~ spl4_82 ),
inference(avatar_split_clause,[],[f2398,f726,f773]) ).
fof(f2742,plain,
( ~ spl4_82
| ~ spl4_59 ),
inference(avatar_split_clause,[],[f2532,f594,f726]) ).
fof(f2743,plain,
( ~ spl4_28
| ~ spl4_75 ),
inference(avatar_split_clause,[],[f2673,f677,f450]) ).
fof(f2744,plain,
( ~ spl4_86
| ~ spl4_85 ),
inference(avatar_split_clause,[],[f2595,f743,f747]) ).
fof(f2745,plain,
( e1 != op(e3,e2)
| ~ spl4_4 ),
inference(superposition,[],[f111,f338]) ).
fof(f2746,plain,
( e1 != op(e3,e1)
| ~ spl4_4 ),
inference(superposition,[],[f112,f338]) ).
fof(f2747,plain,
( e1 != op(e3,e0)
| ~ spl4_4 ),
inference(superposition,[],[f114,f338]) ).
fof(f2748,plain,
( e1 != op(e2,e3)
| ~ spl4_4 ),
inference(superposition,[],[f135,f338]) ).
fof(f2749,plain,
( e1 != op(e1,e3)
| ~ spl4_4 ),
inference(superposition,[],[f136,f338]) ).
fof(f2750,plain,
( e1 != op(e0,e3)
| ~ spl4_4 ),
inference(superposition,[],[f138,f338]) ).
fof(f2753,plain,
( e2 != op(op(e1,e3),e3)
| spl4_3
| ~ spl4_4 ),
inference(superposition,[],[f334,f338]) ).
fof(f2754,plain,
( e0 != op(e1,e3)
| ~ spl4_4
| spl4_5 ),
inference(superposition,[],[f343,f338]) ).
fof(f2755,plain,
( e2 != op(e1,e3)
| ~ spl4_4
| spl4_6 ),
inference(superposition,[],[f348,f338]) ).
fof(f2759,plain,
( ~ spl4_52
| ~ spl4_4
| spl4_5 ),
inference(avatar_split_clause,[],[f2754,f341,f337,f561]) ).
fof(f2760,plain,
( ~ spl4_51
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f2749,f337,f556]) ).
fof(f2761,plain,
( ~ spl4_59
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f2745,f337,f594]) ).
fof(f2762,plain,
( ~ spl4_52
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f2481,f324,f561]) ).
fof(f2776,plain,
( e0 != op(e2,e1)
| ~ spl4_10 ),
inference(superposition,[],[f119,f367]) ).
fof(f2777,plain,
( e0 != op(e2,e0)
| ~ spl4_10 ),
inference(superposition,[],[f121,f367]) ).
fof(f2778,plain,
( e0 != op(e1,e2)
| ~ spl4_10 ),
inference(superposition,[],[f143,f367]) ).
fof(f2779,plain,
( e0 != op(e0,e2)
| ~ spl4_10 ),
inference(superposition,[],[f145,f367]) ).
fof(f2784,plain,
( e3 != op(e0,e2)
| ~ spl4_10
| spl4_15 ),
inference(superposition,[],[f390,f367]) ).
fof(f2787,plain,
( ~ spl4_55
| ~ spl4_10
| spl4_15 ),
inference(avatar_split_clause,[],[f2784,f388,f366,f574]) ).
fof(f2813,plain,
( e2 != op(e0,e2)
| ~ spl4_54 ),
inference(superposition,[],[f129,f572]) ).
fof(f2814,plain,
( e2 != op(e0,e1)
| ~ spl4_54 ),
inference(superposition,[],[f130,f572]) ).
fof(f2815,plain,
( op(e0,e0) != e2
| ~ spl4_54 ),
inference(superposition,[],[f132,f572]) ).
fof(f2817,plain,
( op(e0,e0) != e3
| ~ spl4_55 ),
inference(superposition,[],[f133,f575]) ).
fof(f2821,plain,
( op(e0,e0) != e2
| ~ spl4_64 ),
inference(superposition,[],[f157,f619]) ).
fof(f2822,plain,
( e2 != op(e1,e0)
| ~ spl4_64 ),
inference(superposition,[],[f155,f619]) ).
fof(f2830,plain,
( e3 != op(e2,e2)
| ~ spl4_78 ),
inference(superposition,[],[f117,f707]) ).
fof(f2831,plain,
( e3 != op(e2,e1)
| ~ spl4_78 ),
inference(superposition,[],[f118,f707]) ).
fof(f2832,plain,
( e3 != op(e2,e0)
| ~ spl4_78 ),
inference(superposition,[],[f120,f707]) ).
fof(f2833,plain,
( e3 != op(e1,e3)
| ~ spl4_78 ),
inference(superposition,[],[f137,f707]) ).
fof(f2834,plain,
( e3 != op(e0,e3)
| ~ spl4_78 ),
inference(superposition,[],[f139,f707]) ).
fof(f2847,plain,
( e2 != e2
| ~ spl4_84 ),
inference(superposition,[],[f231,f741]) ).
fof(f2855,plain,
( $false
| ~ spl4_84 ),
inference(trivial_inequality_removal,[],[f2847]) ).
fof(f2856,plain,
~ spl4_84,
inference(avatar_contradiction_clause,[],[f2855]) ).
fof(f2885,plain,
( e0 != op(e2,e3)
| ~ spl4_6
| spl4_9 ),
inference(superposition,[],[f362,f347]) ).
fof(f2886,plain,
( e1 != op(e2,e3)
| ~ spl4_6
| spl4_7 ),
inference(superposition,[],[f352,f347]) ).
fof(f2894,plain,
( e1 != op(e0,e2)
| ~ spl4_10
| spl4_11 ),
inference(superposition,[],[f372,f367]) ).
fof(f2898,plain,
( e0 != op(e3,e2)
| ~ spl4_15
| spl4_18 ),
inference(superposition,[],[f404,f389]) ).
fof(f2899,plain,
( e1 != op(e3,e2)
| ~ spl4_15
| spl4_16 ),
inference(superposition,[],[f394,f389]) ).
fof(f2901,plain,
( ~ spl4_59
| ~ spl4_15
| spl4_16 ),
inference(avatar_split_clause,[],[f2899,f392,f388,f594]) ).
fof(f2904,plain,
( ~ spl4_87
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f2367,f379,f754]) ).
fof(f2905,plain,
( ~ spl4_55
| spl4_12
| ~ spl4_14 ),
inference(avatar_split_clause,[],[f2441,f383,f374,f574]) ).
fof(f2907,plain,
( ~ spl4_64
| ~ spl4_63 ),
inference(avatar_split_clause,[],[f2370,f613,f618]) ).
fof(f2908,plain,
( ~ spl4_91
| ~ spl4_66 ),
inference(avatar_split_clause,[],[f2375,f629,f780]) ).
fof(f2909,plain,
( ~ spl4_67
| ~ spl4_85 ),
inference(avatar_split_clause,[],[f2594,f743,f633]) ).
fof(f2910,plain,
( ~ spl4_63
| ~ spl4_60 ),
inference(avatar_split_clause,[],[f2541,f598,f613]) ).
fof(f2912,plain,
( ~ spl4_13
| ~ spl4_59 ),
inference(avatar_split_clause,[],[f2534,f594,f379]) ).
fof(f2913,plain,
( ~ spl4_88
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f2777,f366,f760]) ).
fof(f2914,plain,
( ~ spl4_66
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f2778,f366,f629]) ).
fof(f2915,plain,
( ~ spl4_67
| ~ spl4_64 ),
inference(avatar_split_clause,[],[f2822,f618,f633]) ).
fof(f2916,plain,
( ~ spl4_58
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f2482,f324,f588]) ).
fof(f2919,plain,
( ~ spl4_46
| ~ spl4_78 ),
inference(avatar_split_clause,[],[f2831,f705,f533]) ).
fof(f2920,plain,
( ~ spl4_45
| ~ spl4_6
| spl4_7 ),
inference(avatar_split_clause,[],[f2886,f350,f346,f529]) ).
fof(f2921,plain,
( ~ spl4_35
| ~ spl4_43 ),
inference(avatar_split_clause,[],[f2520,f519,f481]) ).
fof(f2922,plain,
( ~ spl4_91
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f2634,f408,f780]) ).
fof(f2924,plain,
( ~ spl4_70
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f2779,f366,f648]) ).
fof(f2925,plain,
( ~ spl4_31
| ~ spl4_64 ),
inference(avatar_split_clause,[],[f2821,f618,f463]) ).
fof(f2926,plain,
( ~ spl4_81
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f2359,f355,f720]) ).
fof(f2927,plain,
( ~ spl4_49
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f2384,f355,f547]) ).
fof(f2928,plain,
( ~ spl4_45
| spl4_2
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f2407,f355,f328,f529]) ).
fof(f2953,plain,
( e2 != op(e1,e0)
| ~ spl4_22 ),
inference(superposition,[],[f128,f422]) ).
fof(f2954,plain,
( e2 != op(e0,e1)
| ~ spl4_22 ),
inference(superposition,[],[f152,f422]) ).
fof(f2970,plain,
( e1 != op(e2,e2)
| ~ spl4_45 ),
inference(superposition,[],[f117,f531]) ).
fof(f2971,plain,
( e1 != op(e2,e1)
| ~ spl4_45 ),
inference(superposition,[],[f118,f531]) ).
fof(f2972,plain,
( e1 != op(e2,e0)
| ~ spl4_45 ),
inference(superposition,[],[f120,f531]) ).
fof(f2973,plain,
( e1 != op(e1,e3)
| ~ spl4_45 ),
inference(superposition,[],[f137,f531]) ).
fof(f2974,plain,
( e1 != op(e0,e3)
| ~ spl4_45 ),
inference(superposition,[],[f139,f531]) ).
fof(f2978,plain,
( e3 != op(e1,e1)
| ~ spl4_46 ),
inference(superposition,[],[f149,f534]) ).
fof(f2979,plain,
( e3 != op(e0,e1)
| ~ spl4_46 ),
inference(superposition,[],[f151,f534]) ).
fof(f2981,plain,
( e0 != op(e0,e2)
| ~ spl4_58 ),
inference(superposition,[],[f129,f590]) ).
fof(f2982,plain,
( e0 != op(e0,e1)
| ~ spl4_58 ),
inference(superposition,[],[f130,f590]) ).
fof(f2993,plain,
( e1 != op(e1,e0)
| ~ spl4_65 ),
inference(superposition,[],[f127,f626]) ).
fof(f2994,plain,
( e1 != op(e0,e2)
| ~ spl4_65 ),
inference(superposition,[],[f146,f626]) ).
fof(f2996,plain,
( ~ spl4_75
| ~ spl4_65 ),
inference(avatar_split_clause,[],[f2993,f624,f677]) ).
fof(f2998,plain,
( e0 != op(e3,e0)
| ~ spl4_71 ),
inference(superposition,[],[f116,f657]) ).
fof(f3000,plain,
( e0 != op(e1,e1)
| ~ spl4_71 ),
inference(superposition,[],[f148,f657]) ).
fof(f3001,plain,
( e0 != op(e0,e1)
| ~ spl4_71 ),
inference(superposition,[],[f150,f657]) ).
fof(f3006,plain,
( e1 != op(e1,e0)
| ~ spl4_72 ),
inference(superposition,[],[f154,f660]) ).
fof(f3007,plain,
( op(e0,e0) != e1
| ~ spl4_72 ),
inference(superposition,[],[f156,f660]) ).
fof(f3037,plain,
( e1 = op(e2,e3)
| ~ spl4_2
| ~ spl4_8 ),
inference(superposition,[],[f329,f356]) ).
fof(f3060,plain,
( e2 != op(e0,e1)
| ~ spl4_23
| spl4_25 ),
inference(superposition,[],[f436,f426]) ).
fof(f3062,plain,
( e0 != op(e2,e1)
| ~ spl4_22
| spl4_23 ),
inference(superposition,[],[f427,f422]) ).
fof(f3063,plain,
( e3 != op(e2,e1)
| ~ spl4_22
| spl4_24 ),
inference(superposition,[],[f432,f422]) ).
fof(f3064,plain,
( ~ spl4_46
| ~ spl4_22
| spl4_24 ),
inference(avatar_split_clause,[],[f3063,f430,f421,f533]) ).
fof(f3065,plain,
( ~ spl4_71
| ~ spl4_24
| spl4_27 ),
inference(avatar_split_clause,[],[f2704,f444,f430,f655]) ).
fof(f3066,plain,
( ~ spl4_90
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f2662,f579,f773]) ).
fof(f3067,plain,
( ~ spl4_72
| ~ spl4_82 ),
inference(avatar_split_clause,[],[f2364,f726,f659]) ).
fof(f3068,plain,
( ~ spl4_56
| ~ spl4_45 ),
inference(avatar_split_clause,[],[f2974,f529,f579]) ).
fof(f3093,plain,
( e2 != op(e1,e1)
| ~ spl4_49 ),
inference(superposition,[],[f124,f549]) ).
fof(f3094,plain,
( e2 != op(e1,e0)
| ~ spl4_49 ),
inference(superposition,[],[f126,f549]) ).
fof(f3098,plain,
( ~ spl4_22
| ~ spl4_49 ),
inference(avatar_split_clause,[],[f3093,f547,f421]) ).
fof(f3099,plain,
( ~ spl4_76
| ~ spl4_58 ),
inference(avatar_split_clause,[],[f2982,f588,f684]) ).
fof(f3100,plain,
( ~ spl4_76
| ~ spl4_71 ),
inference(avatar_split_clause,[],[f3001,f655,f684]) ).
fof(f3101,plain,
( ~ spl4_28
| ~ spl4_72 ),
inference(avatar_split_clause,[],[f3007,f659,f450]) ).
fof(f3102,plain,
( ~ spl4_87
| ~ spl4_45 ),
inference(avatar_split_clause,[],[f2971,f529,f754]) ).
fof(f3103,plain,
( ~ spl4_48
| ~ spl4_78 ),
inference(avatar_split_clause,[],[f2832,f705,f542]) ).
fof(f3104,plain,
( ~ spl4_79
| ~ spl4_78 ),
inference(avatar_split_clause,[],[f2833,f705,f709]) ).
fof(f3105,plain,
( spl4_45
| ~ spl4_2
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f3037,f355,f328,f529]) ).
fof(f3106,plain,
( ~ spl4_35
| ~ spl4_48 ),
inference(avatar_split_clause,[],[f2405,f542,f481]) ).
fof(f3107,plain,
( ~ spl4_35
| ~ spl4_57 ),
inference(avatar_split_clause,[],[f2667,f583,f481]) ).
fof(f3108,plain,
( ~ spl4_42
| ~ spl4_41 ),
inference(avatar_split_clause,[],[f2361,f509,f514]) ).
fof(f3109,plain,
( ~ spl4_72
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f2747,f337,f659]) ).
fof(f3110,plain,
( ~ spl4_56
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f2750,f337,f579]) ).
fof(f3111,plain,
( ~ spl4_56
| ~ spl4_5
| spl4_7 ),
inference(avatar_split_clause,[],[f2435,f350,f341,f579]) ).
fof(f3112,plain,
( ~ spl4_61
| spl4_14
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f2610,f397,f383,f603]) ).
fof(f3114,plain,
( ~ spl4_80
| ~ spl4_78 ),
inference(avatar_split_clause,[],[f2834,f705,f713]) ).
fof(f3115,plain,
( ~ spl4_17
| ~ spl4_78 ),
inference(avatar_split_clause,[],[f2830,f705,f397]) ).
fof(f3158,plain,
( e0 != op(e1,e2)
| ~ spl4_52 ),
inference(superposition,[],[f123,f563]) ).
fof(f3160,plain,
( e0 != op(e1,e0)
| ~ spl4_52 ),
inference(superposition,[],[f126,f563]) ).
fof(f3161,plain,
( e0 != op(e0,e3)
| ~ spl4_52 ),
inference(superposition,[],[f140,f563]) ).
fof(f3167,plain,
( e0 != op(e3,e1)
| ~ spl4_61 ),
inference(superposition,[],[f113,f605]) ).
fof(f3168,plain,
( e0 != op(e3,e0)
| ~ spl4_61 ),
inference(superposition,[],[f115,f605]) ).
fof(f3169,plain,
( e0 != op(e2,e2)
| ~ spl4_61 ),
inference(superposition,[],[f141,f605]) ).
fof(f3170,plain,
( e0 != op(e1,e2)
| ~ spl4_61 ),
inference(superposition,[],[f142,f605]) ).
fof(f3171,plain,
( e0 != op(e0,e2)
| ~ spl4_61 ),
inference(superposition,[],[f144,f605]) ).
fof(f3175,plain,
( e2 != op(e1,e0)
| ~ spl4_62 ),
inference(superposition,[],[f154,f608]) ).
fof(f3224,plain,
( e3 != op(e1,e0)
| spl4_30
| ~ spl4_32 ),
inference(superposition,[],[f460,f468]) ).
fof(f3225,plain,
( ~ spl4_53
| spl4_30
| ~ spl4_32 ),
inference(avatar_split_clause,[],[f3224,f467,f458,f565]) ).
fof(f3233,plain,
( e3 != op(op(e2,e1),e1)
| spl4_21
| ~ spl4_22 ),
inference(superposition,[],[f418,f422]) ).
fof(f3235,plain,
( e1 != op(e0,e2)
| spl4_16
| ~ spl4_17
| ~ spl4_61 ),
inference(superposition,[],[f2504,f605]) ).
fof(f3237,plain,
( e2 != op(e0,e3)
| spl4_3
| ~ spl4_4
| ~ spl4_52 ),
inference(superposition,[],[f2753,f563]) ).
fof(f3251,plain,
( e2 != op(e3,e0)
| ~ spl4_33
| spl4_34 ),
inference(superposition,[],[f478,f473]) ).
fof(f3252,plain,
( ~ spl4_62
| ~ spl4_33
| spl4_34 ),
inference(avatar_split_clause,[],[f3251,f476,f472,f607]) ).
fof(f3254,plain,
( ~ spl4_61
| ~ spl4_15
| spl4_18 ),
inference(avatar_split_clause,[],[f2898,f402,f388,f603]) ).
fof(f3255,plain,
( ~ spl4_86
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f2813,f570,f747]) ).
fof(f3257,plain,
( ~ spl4_54
| spl4_3
| ~ spl4_4
| ~ spl4_52 ),
inference(avatar_split_clause,[],[f3237,f561,f337,f332,f570]) ).
fof(f3258,plain,
( ~ spl4_54
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f2386,f355,f570]) ).
fof(f3259,plain,
( ~ spl4_55
| ~ spl4_41 ),
inference(avatar_split_clause,[],[f2392,f509,f574]) ).
fof(f3260,plain,
( ~ spl4_28
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f2663,f579,f450]) ).
fof(f3262,plain,
( ~ spl4_28
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f2590,f670,f450]) ).
fof(f3263,plain,
( ~ spl4_73
| ~ spl4_22
| spl4_23 ),
inference(avatar_split_clause,[],[f3062,f425,f421,f666]) ).
fof(f3264,plain,
( ~ spl4_73
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f2776,f366,f666]) ).
fof(f3265,plain,
( ~ spl4_58
| ~ spl4_52 ),
inference(avatar_split_clause,[],[f3161,f561,f588]) ).
fof(f3266,plain,
( ~ spl4_74
| ~ spl4_45 ),
inference(avatar_split_clause,[],[f2972,f529,f670]) ).
fof(f3267,plain,
( ~ spl4_26
| ~ spl4_46 ),
inference(avatar_split_clause,[],[f2978,f533,f439]) ).
fof(f3268,plain,
( ~ spl4_57
| ~ spl4_46 ),
inference(avatar_split_clause,[],[f2979,f533,f583]) ).
fof(f3269,plain,
( ~ spl4_68
| ~ spl4_65 ),
inference(avatar_split_clause,[],[f2994,f624,f639]) ).
fof(f3270,plain,
( ~ spl4_68
| ~ spl4_10
| spl4_11 ),
inference(avatar_split_clause,[],[f2894,f370,f366,f639]) ).
fof(f3273,plain,
( spl4_57
| ~ spl4_19
| ~ spl4_24 ),
inference(avatar_split_clause,[],[f2702,f430,f408,f583]) ).
fof(f3304,plain,
( e2 != op(e3,e0)
| spl4_29
| ~ spl4_35 ),
inference(superposition,[],[f456,f482]) ).
fof(f3307,plain,
( e1 != op(e3,e0)
| spl4_32
| ~ spl4_35 ),
inference(superposition,[],[f469,f482]) ).
fof(f3343,plain,
( op(e0,e0) != e2
| ~ spl4_69 ),
inference(superposition,[],[f134,f644]) ).
fof(f3428,plain,
( e3 != op(e2,e1)
| ~ spl4_20
| spl4_21 ),
inference(superposition,[],[f418,f413]) ).
fof(f3429,plain,
( ~ spl4_46
| ~ spl4_20
| spl4_21 ),
inference(avatar_split_clause,[],[f3428,f416,f412,f533]) ).
fof(f3430,plain,
( ~ spl4_69
| ~ spl4_23
| spl4_25 ),
inference(avatar_split_clause,[],[f3060,f434,f425,f643]) ).
fof(f3432,plain,
( ~ spl4_83
| ~ spl4_71 ),
inference(avatar_split_clause,[],[f2998,f655,f732]) ).
fof(f3433,plain,
( ~ spl4_75
| ~ spl4_72 ),
inference(avatar_split_clause,[],[f3006,f659,f677]) ).
fof(f3434,plain,
( ~ spl4_72
| spl4_32
| ~ spl4_35 ),
inference(avatar_split_clause,[],[f3307,f481,f467,f659]) ).
fof(f3437,plain,
( spl4_59
| ~ spl4_11
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f2560,f397,f370,f594]) ).
fof(f3438,plain,
( ~ spl4_68
| spl4_16
| ~ spl4_17
| ~ spl4_61 ),
inference(avatar_split_clause,[],[f3235,f603,f397,f392,f639]) ).
fof(f3439,plain,
( ~ spl4_71
| ~ spl4_61 ),
inference(avatar_split_clause,[],[f3167,f603,f655]) ).
fof(f3441,plain,
( ~ spl4_62
| spl4_29
| ~ spl4_35 ),
inference(avatar_split_clause,[],[f3304,f481,f454,f607]) ).
fof(f3442,plain,
( ~ spl4_19
| ~ spl4_71 ),
inference(avatar_split_clause,[],[f3000,f655,f408]) ).
fof(f3443,plain,
( ~ spl4_61
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f2477,f324,f603]) ).
fof(f3444,plain,
( ~ spl4_31
| ~ spl4_69 ),
inference(avatar_split_clause,[],[f3343,f643,f463]) ).
fof(f3449,plain,
( ~ spl4_68
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f2393,f379,f639]) ).
fof(f3450,plain,
( ~ spl4_13
| ~ spl4_45 ),
inference(avatar_split_clause,[],[f2970,f529,f379]) ).
fof(f3451,plain,
( ~ spl4_51
| ~ spl4_45 ),
inference(avatar_split_clause,[],[f2973,f529,f556]) ).
fof(f3452,plain,
( ~ spl4_58
| ~ spl4_47 ),
inference(avatar_split_clause,[],[f2387,f538,f588]) ).
fof(f3453,plain,
( ~ spl4_53
| ~ spl4_48 ),
inference(avatar_split_clause,[],[f2403,f542,f565]) ).
fof(f3454,plain,
( ~ spl4_70
| ~ spl4_58 ),
inference(avatar_split_clause,[],[f2981,f588,f648]) ).
fof(f3455,plain,
( ~ spl4_69
| ~ spl4_63 ),
inference(avatar_split_clause,[],[f2399,f613,f643]) ).
fof(f3456,plain,
( ~ spl4_82
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f2746,f337,f726]) ).
fof(f3457,plain,
( ~ spl4_45
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f2748,f337,f529]) ).
fof(f3459,plain,
( ~ spl4_48
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f2494,f397,f542]) ).
fof(f3462,plain,
( ~ spl4_63
| ~ spl4_44 ),
inference(avatar_split_clause,[],[f2524,f524,f613]) ).
fof(f3463,plain,
( ~ spl4_83
| ~ spl4_61 ),
inference(avatar_split_clause,[],[f3168,f603,f732]) ).
fof(f3464,plain,
( ~ spl4_70
| ~ spl4_61 ),
inference(avatar_split_clause,[],[f3171,f603,f648]) ).
fof(f3612,plain,
( e3 != op(e0,e1)
| spl4_21
| ~ spl4_22
| ~ spl4_73 ),
inference(superposition,[],[f3233,f668]) ).
fof(f3728,plain,
( e1 != op(e2,e0)
| ~ spl4_29
| spl4_36 ),
inference(superposition,[],[f488,f455]) ).
fof(f3729,plain,
( ~ spl4_74
| ~ spl4_29
| spl4_36 ),
inference(avatar_split_clause,[],[f3728,f486,f454,f670]) ).
fof(f3731,plain,
( ~ spl4_57
| spl4_21
| ~ spl4_22
| ~ spl4_73 ),
inference(avatar_split_clause,[],[f3612,f666,f421,f416,f583]) ).
fof(f3733,plain,
( ~ spl4_74
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f2369,f379,f670]) ).
fof(f3734,plain,
( ~ spl4_65
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f2391,f379,f624]) ).
fof(f3738,plain,
( ~ spl4_70
| ~ spl4_66 ),
inference(avatar_split_clause,[],[f2394,f629,f648]) ).
fof(f3741,plain,
( ~ spl4_88
| ~ spl4_73 ),
inference(avatar_split_clause,[],[f2584,f666,f760]) ).
fof(f3934,plain,
( e2 != op(e1,e0)
| ~ spl4_32
| spl4_34 ),
inference(superposition,[],[f478,f468]) ).
fof(f3935,plain,
( ~ spl4_67
| ~ spl4_32
| spl4_34 ),
inference(avatar_split_clause,[],[f3934,f476,f467,f633]) ).
fof(f3936,plain,
( ~ spl4_67
| ~ spl4_49 ),
inference(avatar_split_clause,[],[f3094,f547,f633]) ).
fof(f3937,plain,
( ~ spl4_35
| ~ spl4_55 ),
inference(avatar_split_clause,[],[f2817,f574,f481]) ).
fof(f3938,plain,
( ~ spl4_66
| ~ spl4_61 ),
inference(avatar_split_clause,[],[f3170,f603,f629]) ).
fof(f3939,plain,
( ~ spl4_67
| ~ spl4_62 ),
inference(avatar_split_clause,[],[f3175,f607,f633]) ).
fof(f3940,plain,
( ~ spl4_50
| ~ spl4_13
| spl4_15 ),
inference(avatar_split_clause,[],[f2419,f388,f379,f551]) ).
fof(f3941,plain,
( ~ spl4_49
| ~ spl4_4
| spl4_6 ),
inference(avatar_split_clause,[],[f2755,f346,f337,f547]) ).
fof(f3942,plain,
( ~ spl4_47
| ~ spl4_6
| spl4_9 ),
inference(avatar_split_clause,[],[f2885,f360,f346,f538]) ).
fof(f3966,plain,
( e3 != op(e2,e0)
| ~ spl4_31
| spl4_33 ),
inference(superposition,[],[f474,f464]) ).
fof(f3969,plain,
( ~ spl4_48
| ~ spl4_31
| spl4_33 ),
inference(avatar_split_clause,[],[f3966,f472,f463,f542]) ).
fof(f4055,plain,
( e1 != op(e3,e0)
| ~ spl4_33
| spl4_36 ),
inference(superposition,[],[f488,f473]) ).
fof(f4058,plain,
( ~ spl4_72
| ~ spl4_33
| spl4_36 ),
inference(avatar_split_clause,[],[f4055,f486,f472,f659]) ).
fof(f4059,plain,
( ~ spl4_31
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f2815,f570,f463]) ).
fof(f4060,plain,
( ~ spl4_69
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f2814,f570,f643]) ).
fof(f4062,plain,
( ~ spl4_31
| ~ spl4_67 ),
inference(avatar_split_clause,[],[f2406,f633,f463]) ).
fof(f4063,plain,
( ~ spl4_67
| ~ spl4_22 ),
inference(avatar_split_clause,[],[f2953,f421,f633]) ).
fof(f4064,plain,
( ~ spl4_69
| ~ spl4_22 ),
inference(avatar_split_clause,[],[f2954,f421,f643]) ).
fof(f4067,plain,
( ~ spl4_66
| ~ spl4_52 ),
inference(avatar_split_clause,[],[f3158,f561,f629]) ).
fof(f4068,plain,
( ~ spl4_91
| ~ spl4_52 ),
inference(avatar_split_clause,[],[f3160,f561,f780]) ).
fof(f4070,plain,
( ~ spl4_10
| ~ spl4_61 ),
inference(avatar_split_clause,[],[f3169,f603,f366]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3 ),
inference(sat_conversion,[],[f335]) ).
cnf(s2,plain,
( ~ spl4_3
| ~ spl4_4
| ~ spl4_5 ),
inference(sat_conversion,[],[f344]) ).
cnf(s3,plain,
( ~ spl4_1
| ~ spl4_6
| ~ spl4_7 ),
inference(sat_conversion,[],[f353]) ).
cnf(s4,plain,
( ~ spl4_5
| ~ spl4_7
| ~ spl4_8 ),
inference(sat_conversion,[],[f358]) ).
cnf(s5,plain,
( ~ spl4_4
| ~ spl4_6
| ~ spl4_9 ),
inference(sat_conversion,[],[f363]) ).
cnf(s6,plain,
( ~ spl4_2
| ~ spl4_8
| ~ spl4_9 ),
inference(sat_conversion,[],[f364]) ).
cnf(s7,plain,
( ~ spl4_10
| ~ spl4_11
| ~ spl4_12 ),
inference(sat_conversion,[],[f377]) ).
cnf(s8,plain,
( ~ spl4_12
| ~ spl4_13
| ~ spl4_14 ),
inference(sat_conversion,[],[f386]) ).
cnf(s9,plain,
( ~ spl4_10
| ~ spl4_15
| ~ spl4_16 ),
inference(sat_conversion,[],[f395]) ).
cnf(s10,plain,
( ~ spl4_14
| ~ spl4_16
| ~ spl4_17 ),
inference(sat_conversion,[],[f400]) ).
cnf(s11,plain,
( ~ spl4_13
| ~ spl4_15
| ~ spl4_18 ),
inference(sat_conversion,[],[f405]) ).
cnf(s12,plain,
( ~ spl4_11
| ~ spl4_17
| ~ spl4_18 ),
inference(sat_conversion,[],[f406]) ).
cnf(s13,plain,
( ~ spl4_19
| ~ spl4_20
| ~ spl4_21 ),
inference(sat_conversion,[],[f419]) ).
cnf(s14,plain,
( ~ spl4_21
| ~ spl4_22
| ~ spl4_23 ),
inference(sat_conversion,[],[f428]) ).
cnf(s15,plain,
( ~ spl4_19
| ~ spl4_24
| ~ spl4_25 ),
inference(sat_conversion,[],[f437]) ).
cnf(s16,plain,
( ~ spl4_23
| ~ spl4_25
| ~ spl4_26 ),
inference(sat_conversion,[],[f442]) ).
cnf(s17,plain,
( ~ spl4_22
| ~ spl4_24
| ~ spl4_27 ),
inference(sat_conversion,[],[f447]) ).
cnf(s18,plain,
( ~ spl4_20
| ~ spl4_26
| ~ spl4_27 ),
inference(sat_conversion,[],[f448]) ).
cnf(s19,plain,
( ~ spl4_28
| ~ spl4_29
| ~ spl4_30 ),
inference(sat_conversion,[],[f461]) ).
cnf(s20,plain,
( ~ spl4_30
| ~ spl4_31
| ~ spl4_32 ),
inference(sat_conversion,[],[f470]) ).
cnf(s21,plain,
( ~ spl4_28
| ~ spl4_33
| ~ spl4_34 ),
inference(sat_conversion,[],[f479]) ).
cnf(s22,plain,
( ~ spl4_32
| ~ spl4_34
| ~ spl4_35 ),
inference(sat_conversion,[],[f484]) ).
cnf(s23,plain,
( ~ spl4_31
| ~ spl4_33
| ~ spl4_36 ),
inference(sat_conversion,[],[f489]) ).
cnf(s24,plain,
( ~ spl4_29
| ~ spl4_35
| ~ spl4_36 ),
inference(sat_conversion,[],[f490]) ).
cnf(s25,plain,
( ~ spl4_37
| ~ spl4_38
| ~ spl4_39
| ~ spl4_40 ),
inference(sat_conversion,[],[f507]) ).
cnf(s26,plain,
( spl4_8
| spl4_37
| ~ spl4_41 ),
inference(sat_conversion,[],[f512]) ).
cnf(s27,plain,
( spl4_4
| spl4_37
| ~ spl4_42 ),
inference(sat_conversion,[],[f517]) ).
cnf(s28,plain,
( spl4_1
| spl4_37
| ~ spl4_43 ),
inference(sat_conversion,[],[f522]) ).
cnf(s29,plain,
( ~ spl4_17
| spl4_37
| spl4_44 ),
inference(sat_conversion,[],[f527]) ).
cnf(s30,plain,
( spl4_37
| spl4_45
| ~ spl4_46 ),
inference(sat_conversion,[],[f536]) ).
cnf(s31,plain,
( spl4_37
| spl4_47
| ~ spl4_48 ),
inference(sat_conversion,[],[f545]) ).
cnf(s32,plain,
( spl4_37
| spl4_49
| ~ spl4_50 ),
inference(sat_conversion,[],[f554]) ).
cnf(s33,plain,
( ~ spl4_26
| spl4_37
| spl4_51 ),
inference(sat_conversion,[],[f559]) ).
cnf(s34,plain,
( spl4_37
| spl4_52
| ~ spl4_53 ),
inference(sat_conversion,[],[f568]) ).
cnf(s35,plain,
( spl4_37
| spl4_54
| ~ spl4_55 ),
inference(sat_conversion,[],[f577]) ).
cnf(s36,plain,
( spl4_37
| spl4_56
| ~ spl4_57 ),
inference(sat_conversion,[],[f586]) ).
cnf(s37,plain,
( ~ spl4_35
| spl4_37
| spl4_58 ),
inference(sat_conversion,[],[f591]) ).
cnf(s38,plain,
( ~ spl4_8
| spl4_38
| spl4_41 ),
inference(sat_conversion,[],[f592]) ).
cnf(s39,plain,
( spl4_38
| spl4_59
| ~ spl4_60 ),
inference(sat_conversion,[],[f601]) ).
cnf(s40,plain,
( spl4_38
| spl4_61
| ~ spl4_62 ),
inference(sat_conversion,[],[f610]) ).
cnf(s41,plain,
( spl4_17
| spl4_38
| ~ spl4_44 ),
inference(sat_conversion,[],[f611]) ).
cnf(s42,plain,
( spl4_13
| spl4_38
| ~ spl4_63 ),
inference(sat_conversion,[],[f616]) ).
cnf(s43,plain,
( spl4_10
| spl4_38
| ~ spl4_64 ),
inference(sat_conversion,[],[f621]) ).
cnf(s44,plain,
( spl4_38
| ~ spl4_49
| spl4_50 ),
inference(sat_conversion,[],[f622]) ).
cnf(s45,plain,
( ~ spl4_22
| spl4_38
| spl4_65 ),
inference(sat_conversion,[],[f627]) ).
cnf(s46,plain,
( spl4_38
| spl4_66
| ~ spl4_67 ),
inference(sat_conversion,[],[f636]) ).
cnf(s47,plain,
( spl4_38
| ~ spl4_54
| spl4_55 ),
inference(sat_conversion,[],[f637]) ).
cnf(s48,plain,
( spl4_38
| spl4_68
| ~ spl4_69 ),
inference(sat_conversion,[],[f646]) ).
cnf(s49,plain,
( ~ spl4_31
| spl4_38
| spl4_70 ),
inference(sat_conversion,[],[f651]) ).
cnf(s50,plain,
( ~ spl4_4
| spl4_39
| spl4_42 ),
inference(sat_conversion,[],[f652]) ).
cnf(s51,plain,
( spl4_39
| ~ spl4_59
| spl4_60 ),
inference(sat_conversion,[],[f653]) ).
cnf(s52,plain,
( spl4_39
| spl4_71
| ~ spl4_72 ),
inference(sat_conversion,[],[f662]) ).
cnf(s53,plain,
( spl4_39
| ~ spl4_45
| spl4_46 ),
inference(sat_conversion,[],[f663]) ).
cnf(s54,plain,
( ~ spl4_13
| spl4_39
| spl4_63 ),
inference(sat_conversion,[],[f664]) ).
cnf(s55,plain,
( spl4_39
| spl4_73
| ~ spl4_74 ),
inference(sat_conversion,[],[f673]) ).
cnf(s56,plain,
( spl4_26
| spl4_39
| ~ spl4_51 ),
inference(sat_conversion,[],[f674]) ).
cnf(s57,plain,
( spl4_22
| spl4_39
| ~ spl4_65 ),
inference(sat_conversion,[],[f675]) ).
cnf(s58,plain,
( spl4_19
| spl4_39
| ~ spl4_75 ),
inference(sat_conversion,[],[f680]) ).
cnf(s59,plain,
( spl4_39
| ~ spl4_56
| spl4_57 ),
inference(sat_conversion,[],[f681]) ).
cnf(s60,plain,
( spl4_39
| ~ spl4_68
| spl4_69 ),
inference(sat_conversion,[],[f682]) ).
cnf(s61,plain,
( ~ spl4_28
| spl4_39
| spl4_76 ),
inference(sat_conversion,[],[f687]) ).
cnf(s62,plain,
( ~ spl4_1
| spl4_40
| spl4_43 ),
inference(sat_conversion,[],[f688]) ).
cnf(s63,plain,
( spl4_40
| ~ spl4_61
| spl4_62 ),
inference(sat_conversion,[],[f689]) ).
cnf(s64,plain,
( spl4_40
| ~ spl4_71
| spl4_72 ),
inference(sat_conversion,[],[f690]) ).
cnf(s65,plain,
( spl4_40
| ~ spl4_47
| spl4_48 ),
inference(sat_conversion,[],[f691]) ).
cnf(s66,plain,
( ~ spl4_10
| spl4_40
| spl4_64 ),
inference(sat_conversion,[],[f692]) ).
cnf(s67,plain,
( spl4_40
| ~ spl4_73
| spl4_74 ),
inference(sat_conversion,[],[f693]) ).
cnf(s68,plain,
( spl4_40
| ~ spl4_52
| spl4_53 ),
inference(sat_conversion,[],[f694]) ).
cnf(s69,plain,
( spl4_40
| ~ spl4_66
| spl4_67 ),
inference(sat_conversion,[],[f695]) ).
cnf(s70,plain,
( ~ spl4_19
| spl4_40
| spl4_75 ),
inference(sat_conversion,[],[f696]) ).
cnf(s71,plain,
( spl4_35
| spl4_40
| ~ spl4_58 ),
inference(sat_conversion,[],[f697]) ).
cnf(s72,plain,
( spl4_31
| spl4_40
| ~ spl4_70 ),
inference(sat_conversion,[],[f698]) ).
cnf(s73,plain,
( spl4_28
| spl4_40
| ~ spl4_76 ),
inference(sat_conversion,[],[f699]) ).
cnf(s74,plain,
( spl4_77
| spl4_78
| spl4_79
| spl4_80 ),
inference(sat_conversion,[],[f716]) ).
cnf(s75,plain,
( spl4_41
| spl4_42
| spl4_43
| spl4_77 ),
inference(sat_conversion,[],[f717]) ).
cnf(s76,plain,
( spl4_8
| spl4_44
| spl4_49
| spl4_54 ),
inference(sat_conversion,[],[f718]) ).
cnf(s78,plain,
( spl4_4
| spl4_45
| spl4_51
| spl4_56 ),
inference(sat_conversion,[],[f724]) ).
cnf(s79,plain,
( spl4_4
| spl4_59
| spl4_72
| spl4_82 ),
inference(sat_conversion,[],[f729]) ).
cnf(s80,plain,
( spl4_1
| spl4_47
| spl4_52
| spl4_58 ),
inference(sat_conversion,[],[f730]) ).
cnf(s81,plain,
( spl4_1
| spl4_61
| spl4_71
| spl4_83 ),
inference(sat_conversion,[],[f735]) ).
cnf(s82,plain,
( spl4_17
| spl4_41
| spl4_50
| spl4_55 ),
inference(sat_conversion,[],[f736]) ).
cnf(s83,plain,
( spl4_17
| spl4_46
| spl4_48
| spl4_78 ),
inference(sat_conversion,[],[f737]) ).
cnf(s84,plain,
( spl4_81
| spl4_84
| spl4_85
| spl4_86 ),
inference(sat_conversion,[],[f750]) ).
cnf(s86,plain,
( spl4_13
| spl4_59
| spl4_65
| spl4_68 ),
inference(sat_conversion,[],[f752]) ).
cnf(s87,plain,
( spl4_13
| spl4_45
| spl4_74
| spl4_87 ),
inference(sat_conversion,[],[f757]) ).
cnf(s88,plain,
( spl4_10
| spl4_61
| spl4_66
| spl4_70 ),
inference(sat_conversion,[],[f758]) ).
cnf(s89,plain,
( spl4_10
| spl4_47
| spl4_73
| spl4_88 ),
inference(sat_conversion,[],[f763]) ).
cnf(s90,plain,
( spl4_26
| spl4_42
| spl4_46
| spl4_57 ),
inference(sat_conversion,[],[f764]) ).
cnf(s91,plain,
( spl4_26
| spl4_50
| spl4_53
| spl4_79 ),
inference(sat_conversion,[],[f765]) ).
cnf(s92,plain,
( spl4_22
| spl4_60
| spl4_63
| spl4_69 ),
inference(sat_conversion,[],[f766]) ).
cnf(s93,plain,
( spl4_22
| spl4_49
| spl4_67
| spl4_85 ),
inference(sat_conversion,[],[f767]) ).
cnf(s94,plain,
( spl4_82
| spl4_87
| spl4_89
| spl4_90 ),
inference(sat_conversion,[],[f776]) ).
cnf(s95,plain,
( spl4_51
| spl4_65
| spl4_75
| spl4_89 ),
inference(sat_conversion,[],[f777]) ).
cnf(s96,plain,
( spl4_19
| spl4_71
| spl4_73
| spl4_76 ),
inference(sat_conversion,[],[f778]) ).
cnf(s97,plain,
( spl4_19
| spl4_52
| spl4_66
| spl4_91 ),
inference(sat_conversion,[],[f783]) ).
cnf(s98,plain,
( spl4_35
| spl4_43
| spl4_48
| spl4_53 ),
inference(sat_conversion,[],[f784]) ).
cnf(s99,plain,
( spl4_35
| spl4_55
| spl4_57
| spl4_80 ),
inference(sat_conversion,[],[f785]) ).
cnf(s100,plain,
( spl4_31
| spl4_62
| spl4_64
| spl4_67 ),
inference(sat_conversion,[],[f786]) ).
cnf(s101,plain,
( spl4_31
| spl4_54
| spl4_69
| spl4_86 ),
inference(sat_conversion,[],[f787]) ).
cnf(s102,plain,
( spl4_28
| spl4_72
| spl4_74
| spl4_75 ),
inference(sat_conversion,[],[f788]) ).
cnf(s103,plain,
( spl4_28
| spl4_56
| spl4_68
| spl4_90 ),
inference(sat_conversion,[],[f789]) ).
cnf(s104,plain,
( spl4_83
| spl4_88
| spl4_91
| spl4_92 ),
inference(sat_conversion,[],[f794]) ).
cnf(s105,plain,
( spl4_58
| spl4_70
| spl4_76
| spl4_92 ),
inference(sat_conversion,[],[f795]) ).
cnf(s106,plain,
( spl4_1
| spl4_4
| spl4_8
| spl4_77 ),
inference(sat_conversion,[],[f796]) ).
cnf(s107,plain,
( spl4_41
| spl4_59
| spl4_61
| spl4_81 ),
inference(sat_conversion,[],[f797]) ).
cnf(s108,plain,
( spl4_42
| spl4_60
| spl4_71
| spl4_82 ),
inference(sat_conversion,[],[f798]) ).
cnf(s109,plain,
( spl4_43
| spl4_62
| spl4_72
| spl4_83 ),
inference(sat_conversion,[],[f799]) ).
cnf(s110,plain,
( spl4_44
| spl4_45
| spl4_47
| spl4_78 ),
inference(sat_conversion,[],[f800]) ).
cnf(s111,plain,
( spl4_10
| spl4_13
| spl4_17
| spl4_84 ),
inference(sat_conversion,[],[f801]) ).
cnf(s112,plain,
( spl4_46
| spl4_63
| spl4_73
| spl4_87 ),
inference(sat_conversion,[],[f802]) ).
cnf(s113,plain,
( spl4_48
| spl4_64
| spl4_74
| spl4_88 ),
inference(sat_conversion,[],[f803]) ).
cnf(s114,plain,
( spl4_49
| spl4_51
| spl4_52
| spl4_79 ),
inference(sat_conversion,[],[f804]) ).
cnf(s115,plain,
( spl4_50
| spl4_65
| spl4_66
| spl4_85 ),
inference(sat_conversion,[],[f805]) ).
cnf(s116,plain,
( spl4_19
| spl4_22
| spl4_26
| spl4_89 ),
inference(sat_conversion,[],[f806]) ).
cnf(s117,plain,
( spl4_53
| spl4_67
| spl4_75
| spl4_91 ),
inference(sat_conversion,[],[f807]) ).
cnf(s118,plain,
( spl4_54
| spl4_56
| spl4_58
| spl4_80 ),
inference(sat_conversion,[],[f808]) ).
cnf(s119,plain,
( spl4_55
| spl4_68
| spl4_70
| spl4_86 ),
inference(sat_conversion,[],[f809]) ).
cnf(s120,plain,
( spl4_57
| spl4_69
| spl4_76
| spl4_90 ),
inference(sat_conversion,[],[f810]) ).
cnf(s121,plain,
( spl4_28
| spl4_31
| spl4_35
| spl4_92 ),
inference(sat_conversion,[],[f811]) ).
cnf(s122,plain,
( ~ spl4_10
| ~ spl4_13 ),
inference(sat_conversion,[],[f819]) ).
cnf(s123,plain,
( ~ spl4_19
| ~ spl4_22 ),
inference(sat_conversion,[],[f833]) ).
cnf(s126,plain,
( ~ spl4_28
| ~ spl4_31 ),
inference(sat_conversion,[],[f849]) ).
cnf(s127,plain,
( ~ spl4_44
| ~ spl4_45 ),
inference(sat_conversion,[],[f864]) ).
cnf(s128,plain,
( ~ spl4_13
| ~ spl4_17 ),
inference(sat_conversion,[],[f883]) ).
cnf(s131,plain,
( ~ spl4_49
| ~ spl4_51 ),
inference(sat_conversion,[],[f905]) ).
cnf(s136,plain,
( ~ spl4_51
| ~ spl4_49
| spl4_44
| ~ spl4_51 ),
inference(sat_conversion,[],[f909]) ).
cnf(s137,plain,
( spl4_44
| ~ spl4_49
| ~ spl4_51 ),
inference(rat,[],[s136]) ).
cnf(s140,plain,
( ~ spl4_49
| ~ spl4_52 ),
inference(sat_conversion,[],[f930]) ).
cnf(s144,plain,
( ~ spl4_54
| ~ spl4_56 ),
inference(sat_conversion,[],[f952]) ).
cnf(s149,plain,
( ~ spl4_54
| ~ spl4_58 ),
inference(sat_conversion,[],[f979]) ).
cnf(s172,plain,
( ~ spl4_63
| ~ spl4_46
| spl4_42
| ~ spl4_63 ),
inference(sat_conversion,[],[f1049]) ).
cnf(s173,plain,
( spl4_42
| ~ spl4_46
| ~ spl4_63 ),
inference(rat,[],[s172]) ).
cnf(s174,plain,
( ~ spl4_55
| ~ spl4_68 ),
inference(sat_conversion,[],[f1081]) ).
cnf(s177,plain,
( ~ spl4_55
| ~ spl4_58
| ~ spl4_68
| spl4_76 ),
inference(sat_conversion,[],[f1084]) ).
cnf(s184,plain,
( ~ spl4_57
| ~ spl4_69 ),
inference(sat_conversion,[],[f1118]) ).
cnf(s195,plain,
( ~ spl4_28
| ~ spl4_35 ),
inference(sat_conversion,[],[f1156]) ).
cnf(s198,plain,
( ~ spl4_28
| ~ spl4_35
| ~ spl4_58
| spl4_76 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s214,plain,
( ~ spl4_53
| ~ spl4_75 ),
inference(sat_conversion,[],[f1238]) ).
cnf(s226,plain,
( ~ spl4_75
| ~ spl4_53
| spl4_43
| ~ spl4_75 ),
inference(sat_conversion,[],[f1249]) ).
cnf(s227,plain,
( spl4_43
| ~ spl4_53
| ~ spl4_75 ),
inference(rat,[],[s226]) ).
cnf(s229,plain,
~ spl4_77,
inference(sat_conversion,[],[f1259]) ).
cnf(s230,plain,
( ~ spl4_49
| ~ spl4_79 ),
inference(sat_conversion,[],[f1293]) ).
cnf(s242,plain,
( ~ spl4_58
| ~ spl4_80
| spl4_92 ),
inference(sat_conversion,[],[f1338]) ).
cnf(s288,plain,
( ~ spl4_68
| ~ spl4_86 ),
inference(sat_conversion,[],[f1517]) ).
cnf(s290,plain,
( ~ spl4_68
| spl4_74
| ~ spl4_75
| ~ spl4_86 ),
inference(sat_conversion,[],[f1519]) ).
cnf(s302,plain,
( ~ spl4_56
| ~ spl4_80
| spl4_90 ),
inference(sat_conversion,[],[f1566]) ).
cnf(s314,plain,
( ~ spl4_1
| ~ spl4_4 ),
inference(sat_conversion,[],[f1606]) ).
cnf(s326,plain,
( ~ spl4_31
| ~ spl4_35 ),
inference(sat_conversion,[],[f1649]) ).
cnf(s333,plain,
( ~ spl4_13
| ~ spl4_31
| ~ spl4_35
| spl4_45 ),
inference(sat_conversion,[],[f1656]) ).
cnf(s334,plain,
( ~ spl4_43
| ~ spl4_62 ),
inference(sat_conversion,[],[f1697]) ).
cnf(s335,plain,
( ~ spl4_43
| ~ spl4_62
| spl4_64 ),
inference(sat_conversion,[],[f1698]) ).
cnf(s346,plain,
( ~ spl4_4
| ~ spl4_8 ),
inference(sat_conversion,[],[f1735]) ).
cnf(s360,plain,
( ~ spl4_50
| ~ spl4_66 ),
inference(sat_conversion,[],[f1811]) ).
cnf(s363,plain,
( ~ spl4_50
| spl4_51
| ~ spl4_66
| ~ spl4_75 ),
inference(sat_conversion,[],[f1814]) ).
cnf(s367,plain,
( ~ spl4_47
| ~ spl4_78
| spl4_88 ),
inference(sat_conversion,[],[f1861]) ).
cnf(s376,plain,
( ~ spl4_71
| ~ spl4_82 ),
inference(sat_conversion,[],[f1907]) ).
cnf(s377,plain,
( ~ spl4_71
| ~ spl4_82
| spl4_83 ),
inference(sat_conversion,[],[f1908]) ).
cnf(s391,plain,
( ~ spl4_43
| ~ spl4_83 ),
inference(sat_conversion,[],[f1958]) ).
cnf(s397,plain,
( ~ spl4_50
| ~ spl4_85 ),
inference(sat_conversion,[],[f2005]) ).
cnf(s415,plain,
( ~ spl4_70
| ~ spl4_86 ),
inference(sat_conversion,[],[f2048]) ).
cnf(s427,plain,
( ~ spl4_22
| ~ spl4_26 ),
inference(sat_conversion,[],[f2098]) ).
cnf(s438,plain,
( ~ spl4_8
| ~ spl4_22
| ~ spl4_26
| spl4_84 ),
inference(sat_conversion,[],[f2109]) ).
cnf(s443,plain,
( ~ spl4_65
| ~ spl4_66
| spl4_70 ),
inference(sat_conversion,[],[f2143]) ).
cnf(s450,plain,
( ~ spl4_67
| ~ spl4_75 ),
inference(sat_conversion,[],[f2180]) ).
cnf(s468,plain,
( ~ spl4_57
| ~ spl4_76 ),
inference(sat_conversion,[],[f2236]) ).
cnf(s479,plain,
( ~ spl4_76
| ~ spl4_57
| spl4_42
| ~ spl4_76 ),
inference(sat_conversion,[],[f2246]) ).
cnf(s480,plain,
( spl4_42
| ~ spl4_57
| ~ spl4_76 ),
inference(rat,[],[s479]) ).
cnf(s481,plain,
( ~ spl4_41
| ~ spl4_57
| spl4_70
| ~ spl4_76 ),
inference(sat_conversion,[],[f2247]) ).
cnf(s484,plain,
~ spl4_89,
inference(sat_conversion,[],[f2260]) ).
cnf(s485,plain,
( ~ spl4_76
| ~ spl4_90 ),
inference(sat_conversion,[],[f2294]) ).
cnf(s487,plain,
( ~ spl4_76
| spl4_79
| ~ spl4_80
| ~ spl4_90 ),
inference(sat_conversion,[],[f2296]) ).
cnf(s495,plain,
( ~ spl4_67
| ~ spl4_91 ),
inference(sat_conversion,[],[f2340]) ).
cnf(s507,plain,
~ spl4_92,
inference(sat_conversion,[],[f2358]) ).
cnf(s508,plain,
( spl4_5
| ~ spl4_8
| ~ spl4_47 ),
inference(sat_conversion,[],[f2409]) ).
cnf(s509,plain,
( ~ spl4_13
| spl4_14
| ~ spl4_66 ),
inference(sat_conversion,[],[f2416]) ).
cnf(s510,plain,
( ~ spl4_28
| spl4_29
| ~ spl4_67 ),
inference(sat_conversion,[],[f2425]) ).
cnf(s513,plain,
( ~ spl4_29
| spl4_30
| ~ spl4_48 ),
inference(sat_conversion,[],[f2464]) ).
cnf(s514,plain,
( ~ spl4_47
| ~ spl4_88 ),
inference(sat_conversion,[],[f2465]) ).
cnf(s515,plain,
( ~ spl4_83
| ~ spl4_88 ),
inference(sat_conversion,[],[f2466]) ).
cnf(s516,plain,
( ~ spl4_82
| ~ spl4_87 ),
inference(sat_conversion,[],[f2467]) ).
cnf(s517,plain,
( ~ spl4_8
| ~ spl4_60 ),
inference(sat_conversion,[],[f2468]) ).
cnf(s518,plain,
( spl4_20
| ~ spl4_26
| ~ spl4_60 ),
inference(sat_conversion,[],[f2469]) ).
cnf(s519,plain,
( ~ spl4_26
| ~ spl4_53 ),
inference(sat_conversion,[],[f2470]) ).
cnf(s520,plain,
( ~ spl4_28
| spl4_33
| ~ spl4_53 ),
inference(sat_conversion,[],[f2471]) ).
cnf(s521,plain,
( ~ spl4_8
| ~ spl4_44 ),
inference(sat_conversion,[],[f2472]) ).
cnf(s523,plain,
( ~ spl4_17
| ~ spl4_41 ),
inference(sat_conversion,[],[f2474]) ).
cnf(s524,plain,
( ~ spl4_19
| ~ spl4_66 ),
inference(sat_conversion,[],[f2475]) ).
cnf(s525,plain,
( spl4_24
| ~ spl4_26
| ~ spl4_42 ),
inference(sat_conversion,[],[f2476]) ).
cnf(s529,plain,
( spl4_11
| ~ spl4_17
| ~ spl4_59 ),
inference(sat_conversion,[],[f2507]) ).
cnf(s530,plain,
( ~ spl4_11
| spl4_18
| ~ spl4_66 ),
inference(sat_conversion,[],[f2565]) ).
cnf(s531,plain,
( ~ spl4_88
| ~ spl4_91 ),
inference(sat_conversion,[],[f2566]) ).
cnf(s532,plain,
( ~ spl4_87
| ~ spl4_90 ),
inference(sat_conversion,[],[f2567]) ).
cnf(s533,plain,
( ~ spl4_51
| ~ spl4_75 ),
inference(sat_conversion,[],[f2568]) ).
cnf(s534,plain,
( spl4_23
| ~ spl4_26
| ~ spl4_71 ),
inference(sat_conversion,[],[f2569]) ).
cnf(s535,plain,
( ~ spl4_1
| ~ spl4_71 ),
inference(sat_conversion,[],[f2570]) ).
cnf(s537,plain,
( ~ spl4_31
| spl4_32
| ~ spl4_74 ),
inference(sat_conversion,[],[f2577]) ).
cnf(s540,plain,
( ~ spl4_20
| spl4_27
| ~ spl4_73 ),
inference(sat_conversion,[],[f2619]) ).
cnf(s541,plain,
( ~ spl4_57
| ~ spl4_80 ),
inference(sat_conversion,[],[f2620]) ).
cnf(s542,plain,
( ~ spl4_43
| ~ spl4_53 ),
inference(sat_conversion,[],[f2621]) ).
cnf(s543,plain,
( ~ spl4_19
| ~ spl4_73 ),
inference(sat_conversion,[],[f2622]) ).
cnf(s544,plain,
( ~ spl4_59
| ~ spl4_72 ),
inference(sat_conversion,[],[f2623]) ).
cnf(s545,plain,
( ~ spl4_51
| ~ spl4_65 ),
inference(sat_conversion,[],[f2624]) ).
cnf(s546,plain,
( ~ spl4_59
| ~ spl4_65 ),
inference(sat_conversion,[],[f2625]) ).
cnf(s549,plain,
( ~ spl4_22
| ~ spl4_85 ),
inference(sat_conversion,[],[f2628]) ).
cnf(s551,plain,
( ~ spl4_47
| ~ spl4_73 ),
inference(sat_conversion,[],[f2629]) ).
cnf(s552,plain,
( ~ spl4_74
| ~ spl4_87 ),
inference(sat_conversion,[],[f2630]) ).
cnf(s554,plain,
( ~ spl4_51
| ~ spl4_56 ),
inference(sat_conversion,[],[f2631]) ).
cnf(s555,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_56 ),
inference(sat_conversion,[],[f2632]) ).
cnf(s556,plain,
( ~ spl4_1
| ~ spl4_47 ),
inference(sat_conversion,[],[f2633]) ).
cnf(s558,plain,
( ~ spl4_19
| spl4_24
| ~ spl4_57 ),
inference(sat_conversion,[],[f2641]) ).
cnf(s559,plain,
( ~ spl4_42
| ~ spl4_57 ),
inference(sat_conversion,[],[f2652]) ).
cnf(s560,plain,
( ~ spl4_42
| ~ spl4_43 ),
inference(sat_conversion,[],[f2653]) ).
cnf(s561,plain,
( ~ spl4_24
| spl4_25
| ~ spl4_60 ),
inference(sat_conversion,[],[f2707]) ).
cnf(s568,plain,
( ~ spl4_1
| ~ spl4_83 ),
inference(sat_conversion,[],[f2708]) ).
cnf(s569,plain,
( ~ spl4_70
| ~ spl4_76 ),
inference(sat_conversion,[],[f2709]) ).
cnf(s571,plain,
( ~ spl4_19
| ~ spl4_76 ),
inference(sat_conversion,[],[f2711]) ).
cnf(s572,plain,
( ~ spl4_44
| ~ spl4_64 ),
inference(sat_conversion,[],[f2712]) ).
cnf(s573,plain,
( ~ spl4_1
| ~ spl4_2
| spl4_56 ),
inference(sat_conversion,[],[f2713]) ).
cnf(s574,plain,
( ~ spl4_17
| ~ spl4_55 ),
inference(sat_conversion,[],[f2714]) ).
cnf(s575,plain,
( ~ spl4_1
| spl4_6
| ~ spl4_54 ),
inference(sat_conversion,[],[f2715]) ).
cnf(s576,plain,
( ~ spl4_44
| ~ spl4_54 ),
inference(sat_conversion,[],[f2716]) ).
cnf(s577,plain,
( ~ spl4_53
| ~ spl4_79 ),
inference(sat_conversion,[],[f2717]) ).
cnf(s579,plain,
( ~ spl4_10
| ~ spl4_47 ),
inference(sat_conversion,[],[f2719]) ).
cnf(s580,plain,
( ~ spl4_35
| ~ spl4_80 ),
inference(sat_conversion,[],[f2720]) ).
cnf(s581,plain,
( ~ spl4_60
| ~ spl4_69 ),
inference(sat_conversion,[],[f2721]) ).
cnf(s582,plain,
( ~ spl4_19
| spl4_20
| ~ spl4_69 ),
inference(sat_conversion,[],[f2722]) ).
cnf(s583,plain,
( ~ spl4_59
| ~ spl4_68 ),
inference(sat_conversion,[],[f2723]) ).
cnf(s584,plain,
( ~ spl4_17
| ~ spl4_50 ),
inference(sat_conversion,[],[f2724]) ).
cnf(s585,plain,
( ~ spl4_11
| spl4_12
| ~ spl4_50 ),
inference(sat_conversion,[],[f2725]) ).
cnf(s586,plain,
( ~ spl4_2
| spl4_3
| ~ spl4_49 ),
inference(sat_conversion,[],[f2726]) ).
cnf(s587,plain,
( ~ spl4_26
| ~ spl4_57 ),
inference(sat_conversion,[],[f2727]) ).
cnf(s592,plain,
( ~ spl4_44
| ~ spl4_49 ),
inference(sat_conversion,[],[f2728]) ).
cnf(s593,plain,
( ~ spl4_56
| ~ spl4_68 ),
inference(sat_conversion,[],[f2729]) ).
cnf(s594,plain,
( ~ spl4_26
| ~ spl4_79 ),
inference(sat_conversion,[],[f2730]) ).
cnf(s595,plain,
( ~ spl4_79
| ~ spl4_80 ),
inference(sat_conversion,[],[f2731]) ).
cnf(s596,plain,
( ~ spl4_2
| spl4_9
| ~ spl4_52 ),
inference(sat_conversion,[],[f2732]) ).
cnf(s597,plain,
( ~ spl4_74
| ~ spl4_75 ),
inference(sat_conversion,[],[f2733]) ).
cnf(s598,plain,
( ~ spl4_17
| ~ spl4_46 ),
inference(sat_conversion,[],[f2734]) ).
cnf(s600,plain,
( ~ spl4_47
| ~ spl4_52 ),
inference(sat_conversion,[],[f2735]) ).
cnf(s602,plain,
( ~ spl4_55
| ~ spl4_80 ),
inference(sat_conversion,[],[f2736]) ).
cnf(s603,plain,
( ~ spl4_43
| ~ spl4_48 ),
inference(sat_conversion,[],[f2737]) ).
cnf(s605,plain,
( ~ spl4_41
| ~ spl4_43 ),
inference(sat_conversion,[],[f2738]) ).
cnf(s607,plain,
( ~ spl4_83
| ~ spl4_91 ),
inference(sat_conversion,[],[f2740]) ).
cnf(s613,plain,
( ~ spl4_82
| ~ spl4_90 ),
inference(sat_conversion,[],[f2741]) ).
cnf(s614,plain,
( ~ spl4_59
| ~ spl4_82 ),
inference(sat_conversion,[],[f2742]) ).
cnf(s615,plain,
( ~ spl4_28
| ~ spl4_75 ),
inference(sat_conversion,[],[f2743]) ).
cnf(s618,plain,
( ~ spl4_85
| ~ spl4_86 ),
inference(sat_conversion,[],[f2744]) ).
cnf(s619,plain,
( ~ spl4_4
| spl4_5
| ~ spl4_52 ),
inference(sat_conversion,[],[f2759]) ).
cnf(s620,plain,
( ~ spl4_4
| ~ spl4_51 ),
inference(sat_conversion,[],[f2760]) ).
cnf(s621,plain,
( ~ spl4_4
| ~ spl4_59 ),
inference(sat_conversion,[],[f2761]) ).
cnf(s623,plain,
( ~ spl4_1
| ~ spl4_52 ),
inference(sat_conversion,[],[f2762]) ).
cnf(s624,plain,
( ~ spl4_10
| spl4_15
| ~ spl4_55 ),
inference(sat_conversion,[],[f2787]) ).
cnf(s625,plain,
~ spl4_84,
inference(sat_conversion,[],[f2856]) ).
cnf(s632,plain,
( ~ spl4_15
| spl4_16
| ~ spl4_59 ),
inference(sat_conversion,[],[f2901]) ).
cnf(s635,plain,
( ~ spl4_13
| ~ spl4_87 ),
inference(sat_conversion,[],[f2904]) ).
cnf(s636,plain,
( spl4_12
| ~ spl4_14
| ~ spl4_55 ),
inference(sat_conversion,[],[f2905]) ).
cnf(s638,plain,
( ~ spl4_63
| ~ spl4_64 ),
inference(sat_conversion,[],[f2907]) ).
cnf(s639,plain,
( ~ spl4_66
| ~ spl4_91 ),
inference(sat_conversion,[],[f2908]) ).
cnf(s642,plain,
( ~ spl4_67
| ~ spl4_85 ),
inference(sat_conversion,[],[f2909]) ).
cnf(s644,plain,
( ~ spl4_60
| ~ spl4_63 ),
inference(sat_conversion,[],[f2910]) ).
cnf(s646,plain,
( ~ spl4_13
| ~ spl4_59 ),
inference(sat_conversion,[],[f2912]) ).
cnf(s647,plain,
( ~ spl4_10
| ~ spl4_88 ),
inference(sat_conversion,[],[f2913]) ).
cnf(s648,plain,
( ~ spl4_10
| ~ spl4_66 ),
inference(sat_conversion,[],[f2914]) ).
cnf(s651,plain,
( ~ spl4_64
| ~ spl4_67 ),
inference(sat_conversion,[],[f2915]) ).
cnf(s652,plain,
( ~ spl4_1
| ~ spl4_58 ),
inference(sat_conversion,[],[f2916]) ).
cnf(s657,plain,
( ~ spl4_46
| ~ spl4_78 ),
inference(sat_conversion,[],[f2919]) ).
cnf(s658,plain,
( ~ spl4_6
| spl4_7
| ~ spl4_45 ),
inference(sat_conversion,[],[f2920]) ).
cnf(s659,plain,
( ~ spl4_35
| ~ spl4_43 ),
inference(sat_conversion,[],[f2921]) ).
cnf(s662,plain,
( ~ spl4_19
| ~ spl4_91 ),
inference(sat_conversion,[],[f2922]) ).
cnf(s664,plain,
( ~ spl4_10
| ~ spl4_70 ),
inference(sat_conversion,[],[f2924]) ).
cnf(s665,plain,
( ~ spl4_31
| ~ spl4_64 ),
inference(sat_conversion,[],[f2925]) ).
cnf(s666,plain,
( ~ spl4_8
| ~ spl4_81 ),
inference(sat_conversion,[],[f2926]) ).
cnf(s668,plain,
( ~ spl4_8
| ~ spl4_49 ),
inference(sat_conversion,[],[f2927]) ).
cnf(s669,plain,
( spl4_2
| ~ spl4_8
| ~ spl4_45 ),
inference(sat_conversion,[],[f2928]) ).
cnf(s673,plain,
( ~ spl4_65
| ~ spl4_75 ),
inference(sat_conversion,[],[f2996]) ).
cnf(s677,plain,
( ~ spl4_22
| spl4_24
| ~ spl4_46 ),
inference(sat_conversion,[],[f3064]) ).
cnf(s678,plain,
( ~ spl4_24
| spl4_27
| ~ spl4_71 ),
inference(sat_conversion,[],[f3065]) ).
cnf(s686,plain,
( ~ spl4_56
| ~ spl4_90 ),
inference(sat_conversion,[],[f3066]) ).
cnf(s687,plain,
( ~ spl4_72
| ~ spl4_82 ),
inference(sat_conversion,[],[f3067]) ).
cnf(s689,plain,
( ~ spl4_45
| ~ spl4_56 ),
inference(sat_conversion,[],[f3068]) ).
cnf(s692,plain,
( ~ spl4_22
| ~ spl4_49 ),
inference(sat_conversion,[],[f3098]) ).
cnf(s704,plain,
( ~ spl4_58
| ~ spl4_76 ),
inference(sat_conversion,[],[f3099]) ).
cnf(s705,plain,
( ~ spl4_71
| ~ spl4_76 ),
inference(sat_conversion,[],[f3100]) ).
cnf(s706,plain,
( ~ spl4_28
| ~ spl4_72 ),
inference(sat_conversion,[],[f3101]) ).
cnf(s709,plain,
( ~ spl4_45
| ~ spl4_87 ),
inference(sat_conversion,[],[f3102]) ).
cnf(s710,plain,
( ~ spl4_48
| ~ spl4_78 ),
inference(sat_conversion,[],[f3103]) ).
cnf(s711,plain,
( ~ spl4_78
| ~ spl4_79 ),
inference(sat_conversion,[],[f3104]) ).
cnf(s712,plain,
( ~ spl4_2
| ~ spl4_8
| spl4_45 ),
inference(sat_conversion,[],[f3105]) ).
cnf(s713,plain,
( ~ spl4_35
| ~ spl4_48 ),
inference(sat_conversion,[],[f3106]) ).
cnf(s714,plain,
( ~ spl4_35
| ~ spl4_57 ),
inference(sat_conversion,[],[f3107]) ).
cnf(s717,plain,
( ~ spl4_41
| ~ spl4_42 ),
inference(sat_conversion,[],[f3108]) ).
cnf(s719,plain,
( ~ spl4_4
| ~ spl4_72 ),
inference(sat_conversion,[],[f3109]) ).
cnf(s720,plain,
( ~ spl4_4
| ~ spl4_56 ),
inference(sat_conversion,[],[f3110]) ).
cnf(s721,plain,
( ~ spl4_5
| spl4_7
| ~ spl4_56 ),
inference(sat_conversion,[],[f3111]) ).
cnf(s722,plain,
( spl4_14
| ~ spl4_17
| ~ spl4_61 ),
inference(sat_conversion,[],[f3112]) ).
cnf(s725,plain,
( ~ spl4_78
| ~ spl4_80 ),
inference(sat_conversion,[],[f3114]) ).
cnf(s726,plain,
( ~ spl4_17
| ~ spl4_78 ),
inference(sat_conversion,[],[f3115]) ).
cnf(s727,plain,
( spl4_30
| ~ spl4_32
| ~ spl4_53 ),
inference(sat_conversion,[],[f3225]) ).
cnf(s731,plain,
( ~ spl4_33
| spl4_34
| ~ spl4_62 ),
inference(sat_conversion,[],[f3252]) ).
cnf(s735,plain,
( ~ spl4_15
| spl4_18
| ~ spl4_61 ),
inference(sat_conversion,[],[f3254]) ).
cnf(s736,plain,
( ~ spl4_54
| ~ spl4_86 ),
inference(sat_conversion,[],[f3255]) ).
cnf(s741,plain,
( spl4_3
| ~ spl4_4
| ~ spl4_52
| ~ spl4_54 ),
inference(sat_conversion,[],[f3257]) ).
cnf(s743,plain,
( ~ spl4_8
| ~ spl4_54 ),
inference(sat_conversion,[],[f3258]) ).
cnf(s749,plain,
( ~ spl4_41
| ~ spl4_55 ),
inference(sat_conversion,[],[f3259]) ).
cnf(s752,plain,
( ~ spl4_28
| ~ spl4_56 ),
inference(sat_conversion,[],[f3260]) ).
cnf(s755,plain,
( ~ spl4_28
| ~ spl4_74 ),
inference(sat_conversion,[],[f3262]) ).
cnf(s757,plain,
( ~ spl4_22
| spl4_23
| ~ spl4_73 ),
inference(sat_conversion,[],[f3263]) ).
cnf(s758,plain,
( ~ spl4_10
| ~ spl4_73 ),
inference(sat_conversion,[],[f3264]) ).
cnf(s760,plain,
( ~ spl4_52
| ~ spl4_58 ),
inference(sat_conversion,[],[f3265]) ).
cnf(s785,plain,
( ~ spl4_45
| ~ spl4_74 ),
inference(sat_conversion,[],[f3266]) ).
cnf(s787,plain,
( ~ spl4_26
| ~ spl4_46 ),
inference(sat_conversion,[],[f3267]) ).
cnf(s788,plain,
( ~ spl4_46
| ~ spl4_57 ),
inference(sat_conversion,[],[f3268]) ).
cnf(s789,plain,
( ~ spl4_65
| ~ spl4_68 ),
inference(sat_conversion,[],[f3269]) ).
cnf(s790,plain,
( ~ spl4_10
| spl4_11
| ~ spl4_68 ),
inference(sat_conversion,[],[f3270]) ).
cnf(s806,plain,
( ~ spl4_19
| ~ spl4_24
| spl4_57 ),
inference(sat_conversion,[],[f3273]) ).
cnf(s821,plain,
( ~ spl4_20
| spl4_21
| ~ spl4_46 ),
inference(sat_conversion,[],[f3429]) ).
cnf(s823,plain,
( ~ spl4_23
| spl4_25
| ~ spl4_69 ),
inference(sat_conversion,[],[f3430]) ).
cnf(s827,plain,
( ~ spl4_71
| ~ spl4_83 ),
inference(sat_conversion,[],[f3432]) ).
cnf(s828,plain,
( ~ spl4_72
| ~ spl4_75 ),
inference(sat_conversion,[],[f3433]) ).
cnf(s830,plain,
( spl4_32
| ~ spl4_35
| ~ spl4_72 ),
inference(sat_conversion,[],[f3434]) ).
cnf(s841,plain,
( ~ spl4_11
| ~ spl4_17
| spl4_59 ),
inference(sat_conversion,[],[f3437]) ).
cnf(s843,plain,
( spl4_16
| ~ spl4_17
| ~ spl4_61
| ~ spl4_68 ),
inference(sat_conversion,[],[f3438]) ).
cnf(s849,plain,
( ~ spl4_61
| ~ spl4_71 ),
inference(sat_conversion,[],[f3439]) ).
cnf(s854,plain,
( spl4_29
| ~ spl4_35
| ~ spl4_62 ),
inference(sat_conversion,[],[f3441]) ).
cnf(s855,plain,
( ~ spl4_19
| ~ spl4_71 ),
inference(sat_conversion,[],[f3442]) ).
cnf(s856,plain,
( ~ spl4_1
| ~ spl4_61 ),
inference(sat_conversion,[],[f3443]) ).
cnf(s872,plain,
( ~ spl4_31
| ~ spl4_69 ),
inference(sat_conversion,[],[f3444]) ).
cnf(s893,plain,
( ~ spl4_13
| ~ spl4_68 ),
inference(sat_conversion,[],[f3449]) ).
cnf(s899,plain,
( ~ spl4_13
| ~ spl4_45 ),
inference(sat_conversion,[],[f3450]) ).
cnf(s901,plain,
( ~ spl4_45
| ~ spl4_51 ),
inference(sat_conversion,[],[f3451]) ).
cnf(s906,plain,
( ~ spl4_47
| ~ spl4_58 ),
inference(sat_conversion,[],[f3452]) ).
cnf(s907,plain,
( ~ spl4_48
| ~ spl4_53 ),
inference(sat_conversion,[],[f3453]) ).
cnf(s908,plain,
( ~ spl4_58
| ~ spl4_70 ),
inference(sat_conversion,[],[f3454]) ).
cnf(s910,plain,
( ~ spl4_63
| ~ spl4_69 ),
inference(sat_conversion,[],[f3455]) ).
cnf(s918,plain,
( ~ spl4_4
| ~ spl4_82 ),
inference(sat_conversion,[],[f3456]) ).
cnf(s919,plain,
( ~ spl4_4
| ~ spl4_45 ),
inference(sat_conversion,[],[f3457]) ).
cnf(s932,plain,
( ~ spl4_17
| ~ spl4_48 ),
inference(sat_conversion,[],[f3459]) ).
cnf(s942,plain,
( ~ spl4_44
| ~ spl4_63 ),
inference(sat_conversion,[],[f3462]) ).
cnf(s944,plain,
( ~ spl4_61
| ~ spl4_83 ),
inference(sat_conversion,[],[f3463]) ).
cnf(s945,plain,
( ~ spl4_61
| ~ spl4_70 ),
inference(sat_conversion,[],[f3464]) ).
cnf(s979,plain,
( ~ spl4_29
| spl4_36
| ~ spl4_74 ),
inference(sat_conversion,[],[f3729]) ).
cnf(s995,plain,
( spl4_21
| ~ spl4_22
| ~ spl4_57
| ~ spl4_73 ),
inference(sat_conversion,[],[f3731]) ).
cnf(s1007,plain,
( ~ spl4_13
| ~ spl4_74 ),
inference(sat_conversion,[],[f3733]) ).
cnf(s1008,plain,
( ~ spl4_13
| ~ spl4_65 ),
inference(sat_conversion,[],[f3734]) ).
cnf(s1032,plain,
( ~ spl4_66
| ~ spl4_70 ),
inference(sat_conversion,[],[f3738]) ).
cnf(s1039,plain,
( ~ spl4_73
| ~ spl4_88 ),
inference(sat_conversion,[],[f3741]) ).
cnf(s1052,plain,
( ~ spl4_32
| spl4_34
| ~ spl4_67 ),
inference(sat_conversion,[],[f3935]) ).
cnf(s1065,plain,
( ~ spl4_49
| ~ spl4_67 ),
inference(sat_conversion,[],[f3936]) ).
cnf(s1066,plain,
( ~ spl4_35
| ~ spl4_55 ),
inference(sat_conversion,[],[f3937]) ).
cnf(s1068,plain,
( ~ spl4_61
| ~ spl4_66 ),
inference(sat_conversion,[],[f3938]) ).
cnf(s1071,plain,
( ~ spl4_62
| ~ spl4_67 ),
inference(sat_conversion,[],[f3939]) ).
cnf(s1073,plain,
( ~ spl4_13
| spl4_15
| ~ spl4_50 ),
inference(sat_conversion,[],[f3940]) ).
cnf(s1075,plain,
( ~ spl4_4
| spl4_6
| ~ spl4_49 ),
inference(sat_conversion,[],[f3941]) ).
cnf(s1083,plain,
( ~ spl4_6
| spl4_9
| ~ spl4_47 ),
inference(sat_conversion,[],[f3942]) ).
cnf(s1111,plain,
( ~ spl4_31
| spl4_33
| ~ spl4_48 ),
inference(sat_conversion,[],[f3969]) ).
cnf(s1113,plain,
( ~ spl4_33
| spl4_36
| ~ spl4_72 ),
inference(sat_conversion,[],[f4058]) ).
cnf(s1125,plain,
( ~ spl4_31
| ~ spl4_54 ),
inference(sat_conversion,[],[f4059]) ).
cnf(s1146,plain,
( ~ spl4_54
| ~ spl4_69 ),
inference(sat_conversion,[],[f4060]) ).
cnf(s1168,plain,
( ~ spl4_31
| ~ spl4_67 ),
inference(sat_conversion,[],[f4062]) ).
cnf(s1182,plain,
( ~ spl4_22
| ~ spl4_67 ),
inference(sat_conversion,[],[f4063]) ).
cnf(s1183,plain,
( ~ spl4_22
| ~ spl4_69 ),
inference(sat_conversion,[],[f4064]) ).
cnf(s1223,plain,
( ~ spl4_52
| ~ spl4_66 ),
inference(sat_conversion,[],[f4067]) ).
cnf(s1224,plain,
( ~ spl4_52
| ~ spl4_91 ),
inference(sat_conversion,[],[f4068]) ).
cnf(s1228,plain,
( ~ spl4_10
| ~ spl4_61 ),
inference(sat_conversion,[],[f4070]) ).
cnf(s1237,plain,
( ~ spl4_8
| ~ spl4_22
| ~ spl4_26 ),
inference(rat,[],[s438,s625]) ).
cnf(s1241,plain,
( ~ spl4_58
| ~ spl4_80 ),
inference(rat,[],[s242,s507]) ).
cnf(s1245,plain,
( spl4_28
| spl4_31
| spl4_35 ),
inference(rat,[],[s121,s507]) ).
cnf(s1246,plain,
( spl4_19
| spl4_22
| spl4_26 ),
inference(rat,[],[s116,s484]) ).
cnf(s1247,plain,
( spl4_10
| spl4_13
| spl4_17 ),
inference(rat,[],[s111,s625]) ).
cnf(s1248,plain,
( spl4_1
| spl4_4
| spl4_8 ),
inference(rat,[],[s106,s229]) ).
cnf(s1249,plain,
( spl4_58
| spl4_70
| spl4_76 ),
inference(rat,[],[s105,s507]) ).
cnf(s1250,plain,
( spl4_83
| spl4_88
| spl4_91 ),
inference(rat,[],[s104,s507]) ).
cnf(s1251,plain,
( spl4_51
| spl4_65
| spl4_75 ),
inference(rat,[],[s95,s484]) ).
cnf(s1252,plain,
( spl4_82
| spl4_87
| spl4_90 ),
inference(rat,[],[s94,s484]) ).
cnf(s1254,plain,
( spl4_81
| spl4_85
| spl4_86 ),
inference(rat,[],[s84,s625]) ).
cnf(s1255,plain,
( spl4_41
| spl4_42
| spl4_43 ),
inference(rat,[],[s75,s229]) ).
cnf(s1256,plain,
( spl4_78
| spl4_79
| spl4_80 ),
inference(rat,[],[s74,s229]) ).
cnf(s1257,plain,
( spl4_82
| spl4_53
| ~ spl4_85
| ~ spl4_13
| ~ spl4_78
| spl4_54
| spl4_4 ),
inference(rat,[],[s1245,s665,s1066,s113,s119,s531,s908,s117,s118,s706,s828,s686,s79,s1252,s725,s710,s1007,s893,s646,s635,s642,s618]) ).
cnf(s1258,plain,
( spl4_38
| spl4_90
| spl4_57
| spl4_86
| spl4_68
| spl4_54 ),
inference(rat,[],[s49,s569,s101,s120,s48]) ).
cnf(s1259,plain,
( ~ spl4_31
| ~ spl4_38
| spl4_90
| spl4_72
| spl4_57
| spl4_19
| ~ spl4_13
| spl4_80
| spl4_45
| spl4_54 ),
inference(rat,[],[s25,s58,s35,s73,s102,s99,s120,s126,s333,s872,s1007]) ).
cnf(s1260,plain,
( spl4_19
| ~ spl4_85
| ~ spl4_13
| ~ spl4_78
| spl4_45
| spl4_54
| spl4_4 ),
inference(rat,[],[s908,s37,s119,s99,s35,s25,s67,s112,s54,s910,s101,s1259,s1258,s613,s687,s1257,s519,s587,s1246,s725,s657,s1007,s893,s635,s618,s549]) ).
cnf(s1261,plain,
( ~ spl4_85
| spl4_10
| spl4_47
| spl4_45
| spl4_4
| spl4_1 ),
inference(rat,[],[s102,s52,s533,s25,s114,s35,s71,s760,s49,s119,s1249,s126,s333,s945,s101,s81,s910,s515,s112,s89,s543,s571,s855,s1260,s618,s743,s668,s711,s657,s1007,s893,s635,s1247,s726,s110,s521,s1248]) ).
cnf(s1262,plain,
( spl4_66
| spl4_70
| spl4_85
| ~ spl4_13
| spl4_10 ),
inference(rat,[],[s11,s735,s88,s1073,s115,s1008]) ).
cnf(s1263,plain,
( ~ spl4_31
| ~ spl4_51
| ~ spl4_66
| spl4_85
| ~ spl4_8 ),
inference(rat,[],[s25,s56,s34,s1237,s117,s69,s93,s49,s1168,s668,s415,s1254,s666,s1223,s639,s533]) ).
cnf(s1264,plain,
( spl4_40
| spl4_75
| ~ spl4_58
| ~ spl4_66
| spl4_74 ),
inference(rat,[],[s22,s1052,s830,s102,s198,s69,s71,s704]) ).
cnf(s1265,plain,
( spl4_39
| spl4_31
| spl4_76
| ~ spl4_51
| spl4_91
| spl4_74 ),
inference(rat,[],[s22,s1052,s117,s830,s519,s102,s1245,s56,s61,s533]) ).
cnf(s1266,plain,
( spl4_38
| spl4_55
| spl4_43
| spl4_19
| spl4_61
| spl4_85
| spl4_10
| ~ spl4_78
| spl4_49 ),
inference(rat,[],[s22,s1052,s830,s109,s99,s515,s587,s113,s1246,s93,s40,s43,s45,s725,s710,s1008,s1007,s1247,s726]) ).
cnf(s1267,plain,
( spl4_55
| ~ spl4_39
| ~ spl4_40
| spl4_43
| ~ spl4_58
| spl4_19
| spl4_91
| spl4_61
| spl4_52
| spl4_85
| spl4_10
| ~ spl4_78
| spl4_49 ),
inference(rat,[],[s22,s1052,s830,s102,s198,s117,s99,s34,s36,s25,s1266,s725,s1007,s1247,s726,s704,s554,s533,s114,s711]) ).
cnf(s1268,plain,
( spl4_10
| spl4_47
| spl4_45
| spl4_4
| spl4_1 ),
inference(rat,[],[s749,s1267,s1265,s1264,s1263,s605,s533,s704,s107,s114,s80,s524,s639,s1068,s1223,s1262,s415,s1254,s1261,s646,s1007,s1247,s668,s666,s726,s711,s110,s521,s1248]) ).
cnf(s1269,plain,
( ~ spl4_75
| ~ spl4_40
| ~ spl4_39
| ~ spl4_85
| spl4_13
| spl4_79
| spl4_45
| spl4_54
| spl4_4 ),
inference(rat,[],[s25,s1258,s33,s587,s593,s532,s91,s78,s87,s214,s533,s597,s618,s397]) ).
cnf(s1270,plain,
( spl4_42
| ~ spl4_69
| spl4_82
| spl4_46
| spl4_60 ),
inference(rat,[],[s16,s823,s534,s90,s108,s184]) ).
cnf(s1271,plain,
( ~ spl4_42
| ~ spl4_40
| ~ spl4_39
| ~ spl4_8
| spl4_4 ),
inference(rat,[],[s25,s38,s27,s717]) ).
cnf(s1272,plain,
( spl4_37
| spl4_42
| spl4_75
| ~ spl4_85
| spl4_70
| spl4_73
| spl4_46
| spl4_80
| ~ spl4_8 ),
inference(rat,[],[s377,s96,s1270,s607,s662,s101,s117,s326,s34,s99,s704,s760,s36,s118,s593,s119,s35,s743,s517,s642,s618]) ).
cnf(s1273,plain,
( ~ spl4_40
| ~ spl4_39
| ~ spl4_85
| spl4_13
| spl4_70
| spl4_73
| spl4_46
| spl4_79
| spl4_80
| spl4_45
| ~ spl4_8
| spl4_4 ),
inference(rat,[],[s516,s1270,s112,s92,s42,s25,s1272,s1271,s1269,s743,s517,s549]) ).
cnf(s1274,plain,
( spl4_41
| spl4_50
| ~ spl4_10
| spl4_17
| spl4_81 ),
inference(rat,[],[s9,s632,s624,s107,s82,s1228]) ).
cnf(s1275,plain,
( spl4_40
| spl4_75
| spl4_76
| spl4_42
| spl4_86
| ~ spl4_10
| spl4_46
| ~ spl4_8 ),
inference(rat,[],[s1270,s376,s101,s96,s665,s70,s66,s743,s517,s758]) ).
cnf(s1276,plain,
( ~ spl4_85
| ~ spl4_10
| spl4_46
| spl4_79
| spl4_80
| spl4_17
| spl4_45
| ~ spl4_8
| spl4_4 ),
inference(rat,[],[s516,s87,s1270,s55,s60,s1273,s1275,s533,s704,s78,s118,s593,s119,s717,s749,s1274,s397,s618,s743,s666,s517,s758,s664,s122]) ).
cnf(s1277,plain,
( ~ spl4_75
| ~ spl4_40
| ~ spl4_39
| spl4_85
| spl4_66
| spl4_49 ),
inference(rat,[],[s25,s45,s32,s93,s115,s450,s673]) ).
cnf(s1278,plain,
( spl4_37
| spl4_42
| spl4_85
| spl4_66
| spl4_70
| spl4_46
| spl4_79
| spl4_17
| ~ spl4_8 ),
inference(rat,[],[s481,s1249,s90,s760,s33,s114,s545,s115,s82,s32,s35,s743,s668]) ).
cnf(s1279,plain,
( ~ spl4_40
| ~ spl4_39
| spl4_85
| spl4_13
| spl4_66
| spl4_70
| spl4_73
| spl4_46
| spl4_79
| spl4_17
| ~ spl4_8
| spl4_4 ),
inference(rat,[],[s1245,s706,s714,s79,s546,s90,s516,s45,s1237,s112,s93,s49,s42,s46,s25,s1278,s1271,s668]) ).
cnf(s1280,plain,
( ~ spl4_75
| spl4_40
| spl4_79
| spl4_49 ),
inference(rat,[],[s68,s114,s214,s533]) ).
cnf(s1281,plain,
( spl4_51
| spl4_40
| spl4_70
| spl4_79
| spl4_45
| spl4_49
| spl4_4 ),
inference(rat,[],[s1249,s73,s760,s752,s114,s78]) ).
cnf(s1282,plain,
( spl4_40
| spl4_68
| ~ spl4_10
| spl4_46
| spl4_79
| spl4_80
| spl4_45
| spl4_49
| spl4_54
| spl4_4 ),
inference(rat,[],[s198,s71,s704,s103,s118,s554,s1281,s532,s112,s638,s66,s758,s664]) ).
cnf(s1283,plain,
( spl4_47
| spl4_45
| spl4_4
| spl4_1 ),
inference(rat,[],[s1250,s1224,s827,s114,s108,s545,s717,s516,s86,s107,s87,s51,s55,s1279,s1282,s288,s1254,s1276,s122,s647,s648,s664,s758,s1228,s1268,s657,s711,s725,s726,s110,s743,s668,s666,s521,s517,s1248]) ).
cnf(s1284,plain,
( spl4_40
| ~ spl4_28
| spl4_70
| spl4_85
| ~ spl4_47 ),
inference(rat,[],[s19,s513,s510,s69,s1262,s1247,s932,s65,s579]) ).
cnf(s1285,plain,
( ~ spl4_48
| spl4_91
| ~ spl4_28
| spl4_75 ),
inference(rat,[],[s19,s513,s510,s117,s907]) ).
cnf(s1286,plain,
( ~ spl4_39
| ~ spl4_40
| ~ spl4_28
| spl4_71
| spl4_85
| spl4_75
| spl4_65
| spl4_78
| spl4_88
| spl4_10
| spl4_45
| ~ spl4_8
| spl4_4 ),
inference(rat,[],[s25,s30,s43,s83,s113,s1285,s639,s1262,s128,s86,s614,s108,s1271,s517,s415,s288,s1254,s666,s755]) ).
cnf(s1287,plain,
( spl4_85
| ~ spl4_47
| spl4_45
| ~ spl4_8
| spl4_4 ),
inference(rat,[],[s1285,s639,s83,s1262,s128,s787,s86,s56,s51,s1286,s1284,s103,s487,s705,s1249,s288,s415,s1254,s666,s517,s579,s367,s514,s595,s118,s743,s906,s545,s533,s78,s721,s4,s508]) ).
cnf(s1288,plain,
( spl4_46
| ~ spl4_13
| spl4_86
| spl4_75
| spl4_78
| spl4_73
| spl4_54 ),
inference(rat,[],[s1113,s102,s23,s126,s1111,s101,s910,s112,s83,s1007,s635,s128]) ).
cnf(s1289,plain,
( ~ spl4_13
| spl4_50
| spl4_22
| spl4_86
| spl4_75
| spl4_55
| spl4_78
| spl4_73
| spl4_60
| spl4_54 ),
inference(rat,[],[s13,s821,s582,s92,s1246,s173,s787,s1288,s717,s82,s128]) ).
cnf(s1290,plain,
( spl4_4
| spl4_2
| spl4_1 ),
inference(rat,[],[s52,s79,s849,s516,s107,s87,s51,s55,s25,s38,s65,s29,s523,s932,s1247,s1289,s397,s549,s618,s1287,s533,s602,s78,s118,s721,s4,s508,s367,s514,s551,s579,s906,s1283,s669,s517,s521,s666,s743,s1248]) ).
cnf(s1291,plain,
( ~ spl4_6
| ~ spl4_47
| ~ spl4_4 ),
inference(rat,[],[s5,s1083]) ).
cnf(s1292,plain,
( ~ spl4_13
| ~ spl4_47
| spl4_85
| ~ spl4_4 ),
inference(rat,[],[s64,s1277,s96,s58,s123,s93,s1032,s1249,s485,s450,s1252,s1251,s635,s1008,s918,s719,s620,s906,s551,s1075,s1291]) ).
cnf(s1293,plain,
( ~ spl4_47
| spl4_85
| ~ spl4_4 ),
inference(rat,[],[s120,s569,s532,s119,s559,s87,s60,s50,s55,s25,s47,s65,s29,s574,s932,s1247,s736,s1146,s1292,s576,s118,s595,s114,s1075,s1291,s551,s579,s600,s906,s919,s720,s620]) ).
cnf(s1294,plain,
( spl4_37
| spl4_17
| ~ spl4_44
| spl4_8 ),
inference(rat,[],[s82,s26,s32,s35,s592,s576]) ).
cnf(s1295,plain,
( ~ spl4_13
| ~ spl4_44
| spl4_85
| ~ spl4_4 ),
inference(rat,[],[s96,s64,s67,s25,s1294,s123,s93,s485,s450,s41,s1252,s1251,s54,s128,s635,s1007,s1008,s918,s719,s620,s346,s942,s592]) ).
cnf(s1296,plain,
( ~ spl4_80
| ~ spl4_48
| spl4_74
| spl4_39
| spl4_70
| spl4_49
| ~ spl4_4 ),
inference(rat,[],[s1285,s102,s58,s571,s1224,s1249,s114,s1241,s595,s719,s620]) ).
cnf(s1297,plain,
( spl4_17
| spl4_13
| ~ spl4_44
| ~ spl4_4 ),
inference(rat,[],[s103,s61,s177,s704,s99,s118,s1296,s713,s532,s559,s113,s87,s50,s55,s25,s66,s647,s664,s758,s1294,s41,s1247,s919,s720,s346,s592,s576,s572]) ).
cnf(s1298,plain,
( spl4_43
| ~ spl4_28
| spl4_83
| spl4_35
| spl4_48
| spl4_72 ),
inference(rat,[],[s21,s731,s520,s109,s98]) ).
cnf(s1300,plain,
( spl4_73
| spl4_43
| spl4_75
| spl4_35
| spl4_10
| spl4_46
| spl4_48
| spl4_63
| spl4_47
| spl4_72 ),
inference(rat,[],[s102,s1298,s552,s515,s112,s89]) ).
cnf(s1301,plain,
( spl4_43
| spl4_75
| spl4_35
| spl4_10
| spl4_46
| spl4_48
| spl4_64
| spl4_63
| spl4_47
| spl4_72 ),
inference(rat,[],[s20,s727,s537,s1245,s755,s113,s1039,s1300,s98]) ).
cnf(s1302,plain,
( ~ spl4_80
| spl4_10
| ~ spl4_39
| ~ spl4_40
| ~ spl4_44
| spl4_85
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s46,s25,s117,s28,s542,s1301,s1277,s1223,s1224,s114,s580,s595,s719,s620,s1293,s942,s592,s572,s932,s598,s1297,s1295]) ).
cnf(s1303,plain,
( spl4_75
| spl4_28
| ~ spl4_35
| spl4_43
| spl4_70
| spl4_10
| ~ spl4_4 ),
inference(rat,[],[s24,s979,s854,s109,s944,s88,s443,s102,s1251,s719,s620]) ).
cnf(s1304,plain,
( spl4_43
| spl4_53
| ~ spl4_58
| spl4_10
| ~ spl4_44
| spl4_85
| ~ spl4_4 ),
inference(rat,[],[s101,s1183,s290,s93,s86,s450,s597,s673,s1303,s198,s326,s98,s621,s592,s576,s932,s1297,s1295,s908,s704]) ).
cnf(s1305,plain,
( spl4_10
| ~ spl4_39
| ~ spl4_40
| spl4_78
| spl4_85
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s1182,s100,s92,s49,s39,s184,s25,s99,s28,s335,s659,s1304,s577,s908,s1256,s118,s1302,s720,s621,s942,s576,s572,s574,s1297,s1295,s110,s1293,s919]) ).
cnf(s1306,plain,
( ~ spl4_10
| spl4_46
| spl4_48
| spl4_64
| spl4_63 ),
inference(rat,[],[s552,s113,s112,s647,s758]) ).
cnf(s1307,plain,
( spl4_35
| spl4_43
| spl4_46
| spl4_48
| spl4_64
| spl4_63
| spl4_47
| spl4_72 ),
inference(rat,[],[s227,s1301,s98,s1306]) ).
cnf(s1308,plain,
( spl4_43
| spl4_78
| spl4_85
| ~ spl4_4 ),
inference(rat,[],[s577,s1304,s1256,s118,s580,s1307,s720,s719,s576,s1306,s598,s932,s1297,s1295,s572,s942,s110,s1293,s919]) ).
cnf(s1309,plain,
( spl4_78
| spl4_85
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s81,s63,s64,s1305,s50,s335,s391,s560,s1308,s1306,s598,s932,s1297,s1295,s572,s942,s110,s919,s719,s1293]) ).
cnf(s1310,plain,
( spl4_37
| ~ spl4_13
| spl4_10
| spl4_48
| spl4_79
| spl4_85
| spl4_51
| spl4_1 ),
inference(rat,[],[s1262,s908,s363,s37,s91,s98,s33,s28,s214,s1251,s1008]) ).
cnf(s1311,plain,
( spl4_38
| ~ spl4_13
| spl4_10
| spl4_47
| spl4_85
| spl4_51
| spl4_1 ),
inference(rat,[],[s1262,s908,s363,s80,s44,s140,s93,s45,s450,s1251,s1008]) ).
cnf(s1312,plain,
( spl4_10
| ~ spl4_39
| spl4_48
| spl4_79
| spl4_17
| spl4_47
| spl4_85
| spl4_51
| spl4_1 ),
inference(rat,[],[s908,s1262,s80,s69,s68,s25,s1311,s1310,s214,s450,s1251,s1008,s1247]) ).
cnf(s1313,plain,
( spl4_58
| spl4_85
| spl4_3
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s741,s118,s80,s720,s1293,s725,s1309]) ).
cnf(s1314,plain,
( spl4_37
| ~ spl4_10
| spl4_52
| spl4_79
| ~ spl4_4 ),
inference(rat,[],[s7,s585,s790,s86,s673,s117,s662,s91,s1246,s34,s33,s621,s1065,s692,s114,s620,s122]) ).
cnf(s1315,plain,
( spl4_38
| ~ spl4_10
| ~ spl4_49
| spl4_59 ),
inference(rat,[],[s7,s585,s790,s48,s92,s44,s39,s42,s692,s122]) ).
cnf(s1316,plain,
( ~ spl4_39
| ~ spl4_58
| spl4_85
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s7,s585,s790,s115,s103,s673,s532,s70,s112,s195,s96,s638,s71,s64,s66,s25,s1315,s1314,s648,s758,s1312,s720,s719,s621,s1293,s726,s710,s657,s704,s114,s760,s620,s711,s1309]) ).
cnf(s1317,plain,
( spl4_10
| spl4_66
| spl4_70
| spl4_17
| spl4_85 ),
inference(rat,[],[s1262,s1247]) ).
cnf(s1318,plain,
( spl4_85
| spl4_3
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s7,s585,s790,s86,s122,s1317,s115,s524,s58,s1251,s57,s908,s1316,s692,s114,s760,s1313,s711,s726,s1309,s621,s620]) ).
cnf(s1319,plain,
( ~ spl4_47
| ~ spl4_40
| spl4_28
| ~ spl4_39
| ~ spl4_4 ),
inference(rat,[],[s25,s47,s37,s1066,s1245,s1125,s118,s595,s114,s1075,s1291,s600,s906,s720,s620]) ).
cnf(s1320,plain,
( ~ spl4_44
| ~ spl4_40
| spl4_17
| ~ spl4_39
| spl4_8 ),
inference(rat,[],[s25,s1294,s41]) ).
cnf(s1321,plain,
( ~ spl4_40
| spl4_53
| spl4_28
| spl4_17
| ~ spl4_39
| spl4_50
| spl4_3
| ~ spl4_4 ),
inference(rat,[],[s741,s114,s76,s44,s25,s33,s91,s711,s110,s1320,s1319,s919,s620,s346]) ).
cnf(s1322,plain,
( ~ spl4_47
| spl4_40
| spl4_76
| ~ spl4_75
| ~ spl4_4 ),
inference(rat,[],[s118,s595,s1125,s1280,s72,s1075,s1249,s1291,s906,s720]) ).
cnf(s1323,plain,
( spl4_17
| spl4_10
| ~ spl4_39
| spl4_3
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s1066,s119,s71,s908,s80,s1322,s68,s1321,s485,s214,s615,s1252,s1251,s635,s893,s1008,s1247,s918,s620,s618,s397,s1318]) ).
cnf(s1324,plain,
( ~ spl4_64
| ~ spl4_40
| ~ spl4_17
| spl4_10
| ~ spl4_39 ),
inference(rat,[],[s25,s29,s43,s572]) ).
cnf(s1325,plain,
( ~ spl4_47
| spl4_64
| ~ spl4_40
| spl4_48
| ~ spl4_39
| ~ spl4_4 ),
inference(rat,[],[s755,s113,s1319,s514]) ).
cnf(s1326,plain,
( spl4_75
| spl4_47
| spl4_64
| ~ spl4_17
| ~ spl4_85
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s542,s1307,s117,s580,s1224,s118,s80,s908,s119,s789,s1251,s720,s719,s620,s642,s618,s932,s598,s574,s942,s576,s110,s726,s919]) ).
cnf(s1327,plain,
( ~ spl4_80
| spl4_53
| spl4_28
| spl4_63
| ~ spl4_40
| ~ spl4_39
| ~ spl4_85
| ~ spl4_4 ),
inference(rat,[],[s39,s92,s25,s872,s33,s1245,s91,s580,s595,s621,s620,s549,s397]) ).
cnf(s1328,plain,
( ~ spl4_61
| ~ spl4_68
| ~ spl4_17 ),
inference(rat,[],[s10,s722,s843]) ).
cnf(s1329,plain,
( ~ spl4_40
| ~ spl4_17
| spl4_10
| ~ spl4_39
| ~ spl4_85
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s1328,s81,s855,s1246,s594,s1256,s1327,s515,s113,s86,s214,s597,s615,s673,s1326,s942,s110,s1325,s1324,s919,s621,s549,s932,s726,s128]) ).
cnf(s1330,plain,
( spl4_10
| ~ spl4_39
| spl4_3
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s81,s515,s1328,s113,s86,s597,s673,s1326,s572,s110,s65,s64,s1329,s128,s726,s932,s1323,s919,s719,s621,s1318]) ).
cnf(s1331,plain,
( spl4_58
| spl4_80
| spl4_47
| spl4_3
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s741,s118,s80,s720]) ).
cnf(s1332,plain,
( spl4_17
| ~ spl4_39
| spl4_3
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s1270,s581,s717,s101,s82,s326,s1066,s71,s25,s44,s1314,s114,s149,s760,s1331,s657,s711,s725,s110,s1297,s919,s918,s620,s618,s397,s1318,s579,s122,s1330]) ).
cnf(s1333,plain,
( ~ spl4_39
| spl4_3
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s790,s119,s841,s574,s1332,s664,s1330,s621,s618,s1318]) ).
cnf(s1334,plain,
( ~ spl4_55
| spl4_49
| spl4_65
| spl4_39
| ~ spl4_4 ),
inference(rat,[],[s942,s76,s54,s1125,s86,s1245,s174,s1066,s621,s346,s615,s1251,s620]) ).
cnf(s1335,plain,
( spl4_3
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s908,s118,s88,s1146,s1328,s60,s790,s86,s841,s128,s82,s1334,s230,s595,s91,s525,s806,s524,s58,s214,s1251,s559,s717,s57,s50,s1333,s397,s549,s1318,s720,s621,s620]) ).
cnf(s1336,plain,
( ~ spl4_47
| ~ spl4_13
| ~ spl4_39
| ~ spl4_4 ),
inference(rat,[],[s1322,s1319,s615,s1251,s1008,s620,s485,s1252,s635,s918]) ).
cnf(s1337,plain,
( ~ spl4_13
| ~ spl4_39
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s25,s49,s71,s1245,s35,s1066,s119,s618,s1316,s149,s908,s80,s1336,s615,s1251,s893,s1008,s620,s619,s2,s1335]) ).
cnf(s1338,plain,
( spl4_17
| ~ spl4_39
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s717,s1270,s581,s82,s101,s1066,s665,s71,s66,s25,s44,s397,s618,s1314,s114,s1316,s149,s657,s711,s80,s110,s579,s1297,s1247,s919,s918,s620,s619,s2,s1335,s1337]) ).
cnf(s1339,plain,
( spl4_10
| ~ spl4_39
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s1328,s88,s119,s908,s80,s65,s69,s1329,s619,s2,s1335,s932,s574,s642,s618,s1309,s726,s1338]) ).
cnf(s1340,plain,
( ~ spl4_39
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s119,s790,s664,s1339,s618,s1309,s841,s574,s726,s1338,s621]) ).
cnf(s1341,plain,
( ~ spl4_47
| spl4_65
| spl4_17
| spl4_39
| ~ spl4_4 ),
inference(rat,[],[s82,s1334,s397,s1075,s1293,s1291,s717,s50]) ).
cnf(s1342,plain,
( spl4_10
| spl4_17
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s397,s91,s1317,s711,s908,s110,s80,s1341,s525,s806,s524,s58,s214,s942,s1251,s54,s1008,s1247,s919,s620,s619,s2,s1335,s559,s50,s1340]) ).
cnf(s1343,plain,
( spl4_17
| ~ spl4_4
| spl4_1 ),
inference(rat,[],[s7,s585,s82,s790,s174,s103,s61,s532,s704,s87,s80,s55,s122,s579,s758,s1342,s919,s720,s619,s2,s1335,s717,s50,s1340]) ).
cnf(s1344,plain,
( ~ spl4_4
| spl4_1 ),
inference(rat,[],[s118,s908,s580,s88,s1146,s524,s98,s1328,s60,s790,s58,s214,s86,s1251,s57,s549,s1309,s841,s128,s726,s932,s1343,s560,s50,s1340,s620,s621,s720]) ).
cnf(s1345,plain,
( ~ spl4_28
| spl4_75
| spl4_61
| spl4_1 ),
inference(rat,[],[s607,s81,s1285,s376,s98,s79,s198,s706,s577,s704,s118,s595,s114,s596,s6,s668,s743,s689,s605,s107,s546,s1251,s901,s712,s1290,s666,s1248,s1344]) ).
cnf(s1346,plain,
( ~ spl4_48
| spl4_28
| ~ spl4_40
| ~ spl4_39
| ~ spl4_58 ),
inference(rat,[],[s49,s25,s1245,s31,s713,s908,s906]) ).
cnf(s1347,plain,
( ~ spl4_40
| spl4_85
| spl4_17
| ~ spl4_39
| spl4_1 ),
inference(rat,[],[s17,s678,s677,s83,s1346,s1246,s855,s108,s613,s103,s1345,s1277,s1271,s517,s711,s594,s118,s595,s114,s596,s6,s901,s668,s743,s689,s1228,s648,s1247,s899,s712,s1290,s288,s1254,s666,s1248,s1344]) ).
cnf(s1348,plain,
( spl4_85
| spl4_17
| ~ spl4_39
| spl4_1 ),
inference(rat,[],[s17,s678,s96,s677,s123,s112,s93,s638,s651,s66,s1347,s709,s704,s118,s595,s114,s596,s6,s901,s668,s743,s689,s758,s1247,s899,s712,s1290,s1248,s1344]) ).
cnf(s1349,plain,
( ~ spl4_46
| spl4_90
| ~ spl4_19
| spl4_76 ),
inference(rat,[],[s13,s821,s582,s120,s788]) ).
cnf(s1350,plain,
( spl4_17
| ~ spl4_39
| spl4_1 ),
inference(rat,[],[s71,s1346,s713,s83,s1349,s615,s613,s117,s108,s717,s662,s855,s1274,s1246,s397,s549,s642,s1348,s1247,s666,s517,s899,s711,s594,s577,s704,s118,s595,s114,s596,s6,s901,s668,s743,s689,s712,s1290,s1248,s1344]) ).
cnf(s1351,plain,
( spl4_75
| ~ spl4_39
| spl4_1 ),
inference(rat,[],[s97,s1264,s70,s118,s595,s114,s596,s6,s901,s668,s743,s689,s531,s113,s638,s112,s67,s25,s38,s523,s29,s521,s598,s709,s932,s1350,s785,s712,s1290,s1248,s1344]) ).
cnf(s1352,plain,
( ~ spl4_39
| spl4_1 ),
inference(rat,[],[s69,s115,s450,s673,s1351,s618,s101,s910,s326,s112,s71,s67,s25,s38,s29,s523,s584,s598,s1350,s521,s785,s709,s118,s595,s114,s596,s6,s901,s668,s743,s689,s712,s1290,s1248,s1344]) ).
cnf(s1353,plain,
( ~ spl4_22
| spl4_1 ),
inference(rat,[],[s17,s678,s96,s677,s123,s704,s118,s595,s114,s596,s6,s901,s668,s743,s689,s758,s1247,s598,s53,s1352,s899,s712,s1290,s1248,s1344]) ).
cnf(s1354,plain,
( spl4_4
| spl4_1 ),
inference(rat,[],[s613,s108,s1349,s855,s1246,s1353,s717,s107,s1228,s1247,s598,s51,s53,s1352,s704,s118,s594,s595,s114,s596,s689,s899,s901,s6,s712,s517,s666,s668,s743,s1290,s1248]) ).
cnf(s1355,plain,
spl4_1,
inference(rat,[],[s1354,s1344]) ).
cnf(s1356,plain,
~ spl4_61,
inference(rat,[],[s856,s1355]) ).
cnf(s1357,plain,
~ spl4_58,
inference(rat,[],[s652,s1355]) ).
cnf(s1358,plain,
~ spl4_52,
inference(rat,[],[s623,s1355]) ).
cnf(s1359,plain,
~ spl4_83,
inference(rat,[],[s568,s1355]) ).
cnf(s1360,plain,
~ spl4_47,
inference(rat,[],[s556,s1355]) ).
cnf(s1361,plain,
~ spl4_71,
inference(rat,[],[s535,s1355]) ).
cnf(s1363,plain,
~ spl4_4,
inference(rat,[],[s314,s1355]) ).
cnf(s1364,plain,
( ~ spl4_2
| ~ spl4_40
| spl4_17
| ~ spl4_39 ),
inference(rat,[],[s1320,s76,s712,s586,s144,s689,s1,s573,s1355]) ).
cnf(s1365,plain,
( ~ spl4_44
| ~ spl4_40
| spl4_17
| ~ spl4_39 ),
inference(rat,[],[s1320,s521]) ).
cnf(s1366,plain,
( ~ spl4_6
| ~ spl4_45 ),
inference(rat,[],[s3,s658,s1355]) ).
cnf(s1367,plain,
( ~ spl4_45
| spl4_49
| spl4_44
| spl4_2 ),
inference(rat,[],[s1366,s575,s76,s669,s1355]) ).
cnf(s1368,plain,
( spl4_49
| spl4_44
| spl4_2
| ~ spl4_40
| ~ spl4_10
| spl4_85
| ~ spl4_39 ),
inference(rat,[],[s25,s32,s45,s115,s545,s78,s1367,s93,s648,s495,s1250,s647,s555,s1363,s1355,s1359]) ).
cnf(s1369,plain,
( ~ spl4_40
| ~ spl4_10
| spl4_85
| spl4_17
| ~ spl4_39 ),
inference(rat,[],[s42,s112,s25,s709,s33,s787,s78,s1246,s137,s692,s1368,s1365,s555,s1364,s758,s122,s571,s1249,s664,s1363,s1355,s1357]) ).
cnf(s1370,plain,
( spl4_49
| spl4_2
| spl4_44
| spl4_42
| spl4_67
| spl4_57
| spl4_85 ),
inference(rat,[],[s657,s90,s110,s427,s1367,s93,s1360]) ).
cnf(s1371,plain,
( ~ spl4_10
| spl4_85
| spl4_17
| ~ spl4_39 ),
inference(rat,[],[s112,s709,s787,s78,s1246,s137,s692,s1370,s573,s572,s638,s752,s560,s66,s73,s62,s1369,s495,s468,s571,s1250,s1249,s647,s664,s758,s1363,s1355,s1359,s1357]) ).
cnf(s1372,plain,
( ~ spl4_22
| spl4_49
| spl4_44
| spl4_2
| ~ spl4_40
| spl4_65
| spl4_85
| ~ spl4_39 ),
inference(rat,[],[s1370,s36,s27,s25,s45,s1182,s555,s1363,s1355]) ).
cnf(s1373,plain,
( ~ spl4_66
| spl4_86
| ~ spl4_13 ),
inference(rat,[],[s636,s8,s119,s509,s1032,s893]) ).
cnf(s1374,plain,
( ~ spl4_40
| spl4_85
| spl4_17
| ~ spl4_39 ),
inference(rat,[],[s25,s32,s46,s115,s1373,s93,s1372,s736,s118,s131,s725,s78,s110,s555,s1365,s1364,s1008,s899,s1247,s1371,s1357,s1363,s1360,s1355]) ).
cnf(s1375,plain,
( ~ spl4_2
| spl4_73
| spl4_40
| spl4_85 ),
inference(rat,[],[s93,s123,s1168,s96,s1245,s73,s586,s752,s1,s573,s659,s62,s1361,s1355]) ).
cnf(s1376,plain,
( spl4_85
| spl4_17
| ~ spl4_39 ),
inference(rat,[],[s636,s8,s82,s509,s360,s97,s70,s533,s78,s555,s1375,s531,s89,s605,s67,s62,s1374,s899,s1007,s1247,s1371,s1360,s1355,s1363,s1358]) ).
cnf(s1377,plain,
( spl4_28
| ~ spl4_54
| spl4_90
| spl4_56
| ~ spl4_40
| ~ spl4_39 ),
inference(rat,[],[s25,s47,s37,s174,s1245,s103,s1125,s1357]) ).
cnf(s1378,plain,
( spl4_45
| ~ spl4_10
| spl4_56
| spl4_44
| ~ spl4_40
| ~ spl4_39 ),
inference(rat,[],[s632,s9,s79,s624,s516,s99,s87,s195,s706,s755,s1377,s118,s725,s110,s122,s485,s468,s1249,s664,s1363,s1357,s1360]) ).
cnf(s1379,plain,
( ~ spl4_10
| spl4_44
| spl4_2
| ~ spl4_40
| ~ spl4_85
| ~ spl4_39 ),
inference(rat,[],[s25,s44,s33,s1367,s901,s1378,s1246,s571,s1249,s664,s549,s397,s555,s1357,s1355]) ).
cnf(s1380,plain,
( spl4_19
| spl4_69
| spl4_76
| spl4_48
| spl4_66
| spl4_74
| spl4_22 ),
inference(rat,[],[s18,s540,s518,s92,s638,s113,s531,s1246,s96,s97,s1361,s1358]) ).
cnf(s1381,plain,
( ~ spl4_40
| spl4_17
| ~ spl4_39 ),
inference(rat,[],[s40,s100,s25,s638,s34,s112,s117,s543,s662,s1380,s1125,s1146,s118,s569,s533,s657,s710,s725,s88,s78,s110,s1373,s635,s899,s1007,s1247,s1379,s555,s1365,s1364,s642,s618,s549,s1376,s1356,s1358,s1357,s1363,s1360,s1355]) ).
cnf(s1382,plain,
( ~ spl4_2
| spl4_40
| spl4_17 ),
inference(rat,[],[s788,s83,s120,s711,s872,s114,s1245,s73,s586,s554,s686,s752,s1,s573,s659,s603,s62,s1358,s1355]) ).
cnf(s1383,plain,
( spl4_17
| ~ spl4_39 ),
inference(rat,[],[s632,s9,s86,s545,s624,s122,s78,s88,s1366,s72,s575,s1125,s118,s555,s1382,s174,s602,s82,s605,s69,s62,s1381,s397,s642,s1376,s1357,s1355,s1356,s1363]) ).
cnf(s1384,plain,
( ~ spl4_57
| ~ spl4_73
| ~ spl4_22 ),
inference(rat,[],[s14,s757,s995]) ).
cnf(s1385,plain,
( spl4_76
| ~ spl4_22
| spl4_90 ),
inference(rat,[],[s1384,s96,s120,s1183,s123,s1361]) ).
cnf(s1386,plain,
( ~ spl4_22
| ~ spl4_56
| ~ spl4_40
| ~ spl4_39 ),
inference(rat,[],[s25,s45,s27,s443,s90,s88,s468,s569,s1385,s594,s1256,s302,s686,s1306,s572,s932,s598,s942,s110,s689,s726,s1383,s1363,s1356,s1360]) ).
cnf(s1388,plain,
( spl4_38
| ~ spl4_19
| spl4_22
| spl4_63
| spl4_54
| spl4_68
| spl4_90 ),
inference(rat,[],[s15,s561,s558,s92,s1258,s48,s415,s1249,s571,s1357]) ).
cnf(s1389,plain,
( ~ spl4_56
| ~ spl4_40
| ~ spl4_39 ),
inference(rat,[],[s15,s561,s558,s108,s90,s27,s25,s1388,s516,s112,s543,s1246,s1386,s594,s942,s1256,s110,s144,s302,s593,s686,s689,s726,s598,s1383,s1361,s1363,s1360]) ).
cnf(s1390,plain,
( ~ spl4_45
| spl4_49
| spl4_2 ),
inference(rat,[],[s1367,s127]) ).
cnf(s1391,plain,
( ~ spl4_22
| ~ spl4_40
| ~ spl4_39 ),
inference(rat,[],[s34,s117,s25,s639,s45,s115,s533,s545,s78,s1390,s549,s692,s1182,s584,s1383,s573,s1389,s1358,s1363,s1355]) ).
cnf(s1392,plain,
( ~ spl4_45
| ~ spl4_40
| ~ spl4_39 ),
inference(rat,[],[s25,s44,s29,s1390,s127,s584,s1383,s573,s1389,s1355]) ).
cnf(s1393,plain,
( spl4_85
| spl4_35
| spl4_49
| spl4_65
| spl4_45
| spl4_22
| ~ spl4_17 ),
inference(rat,[],[s12,s530,s529,s79,s516,s87,s706,s755,s1245,s1168,s115,s93,s584,s128,s1363]) ).
cnf(s1394,plain,
( spl4_38
| spl4_67
| spl4_57
| spl4_35
| spl4_64
| spl4_63
| spl4_22
| ~ spl4_17 ),
inference(rat,[],[s18,s540,s518,s90,s560,s112,s1307,s532,s544,s120,s39,s569,s92,s49,s872,s100,s40,s932,s598,s1360,s1356]) ).
cnf(s1395,plain,
( ~ spl4_40
| ~ spl4_39 ),
inference(rat,[],[s18,s540,s518,s92,s872,s89,s100,s531,s334,s117,s90,s1255,s34,s27,s25,s1394,s642,s1393,s541,s580,s1306,s118,s572,s576,s942,s131,s533,s545,s110,s78,s1392,s1391,s1389,s932,s726,s598,s523,s1383,s1360,s1358,s1363,s1357]) ).
cnf(s1396,plain,
( ~ spl4_22
| spl4_56
| ~ spl4_39 ),
inference(rat,[],[s545,s78,s115,s1390,s69,s549,s692,s1182,s584,s1383,s1395,s573,s1363,s1355]) ).
cnf(s1397,plain,
( ~ spl4_45
| spl4_56
| ~ spl4_39 ),
inference(rat,[],[s569,s120,s88,s613,s66,s108,s541,s638,s644,s910,s69,s118,s112,s1065,s575,s67,s1390,s1366,s709,s785,s598,s1383,s560,s62,s1395,s573,s1356,s1361,s1357,s1355]) ).
cnf(s1398,plain,
( spl4_56
| ~ spl4_39 ),
inference(rat,[],[s18,s540,s518,s92,s89,s872,s531,s100,s117,s1246,s642,s1306,s70,s1393,s572,s942,s131,s533,s545,s110,s78,s1397,s1396,s932,s726,s598,s1383,s659,s542,s334,s62,s1395,s1360,s1363,s1355]) ).
cnf(s1399,plain,
~ spl4_39,
inference(rat,[],[s15,s561,s558,s1246,s92,s594,s942,s872,s1385,s99,s1256,s110,s1245,s73,s302,s686,s689,s752,s1398,s659,s62,s1395,s574,s726,s1383,s1360,s1355]) ).
cnf(s1400,plain,
~ spl4_72,
inference(rat,[],[s52,s1361,s1399]) ).
cnf(s1401,plain,
( ~ spl4_45
| spl4_2 ),
inference(rat,[],[s1250,s647,s662,s1247,s1246,s598,s787,s692,s53,s1390,s899,s1359,s1399]) ).
cnf(s1402,plain,
( ~ spl4_67
| spl4_17
| spl4_56 ),
inference(rat,[],[s1373,s736,s97,s118,s571,s725,s61,s1247,s83,s1245,s647,s603,s659,s1250,s109,s495,s1071,s1168,s787,s56,s78,s1401,s573,s1358,s1357,s1399,s1359,s1400,s1363,s1355]) ).
cnf(s1403,plain,
( ~ spl4_10
| spl4_86
| spl4_45 ),
inference(rat,[],[s632,s9,s624,s119,s583,s79,s516,s87,s55,s122,s664,s758,s1363,s1400,s1399]) ).
cnf(s1404,plain,
( spl4_17
| spl4_56 ),
inference(rat,[],[s61,s102,s569,s1007,s88,s1247,s1403,s639,s618,s117,s93,s1402,s533,s131,s519,s427,s56,s78,s1401,s573,s1399,s1400,s1356,s1363,s1355]) ).
cnf(s1405,plain,
( spl4_45
| spl4_56 ),
inference(rat,[],[s18,s540,s518,s89,s92,s531,s872,s117,s100,s642,s334,s1393,s1307,s1306,s580,s572,s942,s1256,s110,s726,s932,s1404,s427,s519,s594,s787,s56,s131,s533,s545,s78,s1363,s1399,s1400,s1360]) ).
cnf(s1406,plain,
spl4_56,
inference(rat,[],[s1405,s1401,s573,s1355]) ).
cnf(s1408,plain,
~ spl4_45,
inference(rat,[],[s689,s1406]) ).
cnf(s1409,plain,
~ spl4_90,
inference(rat,[],[s686,s1406]) ).
cnf(s1413,plain,
~ spl4_54,
inference(rat,[],[s144,s1406]) ).
cnf(s1414,plain,
spl4_2,
inference(rat,[],[s555,s1355,s1406]) ).
cnf(s1415,plain,
spl4_57,
inference(rat,[],[s59,s1399,s1406]) ).
cnf(s1416,plain,
~ spl4_8,
inference(rat,[],[s712,s1414,s1408]) ).
cnf(s1419,plain,
~ spl4_3,
inference(rat,[],[s1,s1355,s1414]) ).
cnf(s1422,plain,
~ spl4_26,
inference(rat,[],[s587,s1415]) ).
cnf(s1423,plain,
~ spl4_42,
inference(rat,[],[s559,s1415]) ).
cnf(s1424,plain,
~ spl4_76,
inference(rat,[],[s480,s1423,s1415]) ).
cnf(s1425,plain,
~ spl4_69,
inference(rat,[],[s184,s1415]) ).
cnf(s1426,plain,
~ spl4_49,
inference(rat,[],[s586,s1414,s1419]) ).
cnf(s1429,plain,
~ spl4_22,
inference(rat,[],[s1385,s1409,s1424]) ).
cnf(s1431,plain,
spl4_44,
inference(rat,[],[s76,s1416,s1413,s1426]) ).
cnf(s1439,plain,
spl4_19,
inference(rat,[],[s1246,s1422,s1429]) ).
cnf(s1442,plain,
~ spl4_63,
inference(rat,[],[s942,s1431]) ).
cnf(s1448,plain,
spl4_24,
inference(rat,[],[s558,s1415,s1439]) ).
cnf(s1450,plain,
spl4_60,
inference(rat,[],[s92,s1425,s1429,s1442]) ).
cnf(s1456,plain,
spl4_25,
inference(rat,[],[s561,s1450,s1448]) ).
cnf(s1457,plain,
$false,
inference(rat,[],[s15,s1439,s1456,s1448]) ).
fof(f4071,plain,
$false,
inference(avatar_sat_refutation,[],[s1457]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG149+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.18 % Computer : n018.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 19:37:55 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 Running first-order model finding
% 0.10/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.30 % (3691436)Will run a generic schedule for satisfiability detection.
% 0.49/0.30 % (3691451)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1770224735:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.49/0.30 % (3691446)% WARNING: option uhcvi not known.
% 0.49/0.30 % (3691445)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3870651321_2999 on theBenchmark for (2999ds/0Mi)
% 0.49/0.30 % (3691447)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3640870206:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.49/0.30 % (3691448)dis+10_1_sil=32000:sp=arity:random_seed=393380721:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.49/0.30 % (3691446)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2347519992:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.49/0.30 % (3691449)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=61644499:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.49/0.30 % (3691450)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=951823125:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.49/0.30 % TRYING [1]
% 0.49/0.30 % TRYING [2]
% 0.49/0.30 % TRYING [3]
% 0.49/0.30 % TRYING [4]
% 0.49/0.30 % TRYING [5]
% 0.49/0.30 % (3691451) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3691436-3691451"...
% 0.49/0.30 % (3691451)...printing done.
% 0.49/0.30 % (3691451)Refutation found. Thanks to Tanya!
% 0.49/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.49/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.49/0.31 % (3691451)------------------------------
% 0.49/0.31 % (3691451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.49/0.31 % (3691451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.49/0.31 % (3691451)CaDiCaL version: 2.1.3
% 0.49/0.31 % (3691451)Termination reason: Refutation
% 0.49/0.31 % (3691451)Time elapsed: 0.051 s
% 0.49/0.31 % (3691451)Peak memory usage: 14 MB
% 0.49/0.31 % (3691451)Instructions burned: 169 (million)
% 0.49/0.31 % (3691436)Success in time 0.08 s
% 0.49/0.31 % Vampire exiting
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