%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG116+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:11:16 AM UTC 2026
% Result : Theorem 5.34s 1.45s
% Output : Refutation 6.16s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 )
| ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 )
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 )
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e13) = e20
& h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f16,axiom,
( h3(e13) = e22
& h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e13) = e23
& h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f18,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( e20 != h1(e10)
& e20 != h1(e11)
& e20 != h1(e12)
& e20 != h1(e13) )
| ( e21 != h1(e10)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13) )
| ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e13) )
| ( e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13) )
| ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e13) )
| ( e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13) ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( e20 != h3(e10)
& e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e13) )
| ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13) )
| ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( e20 != h4(e10)
& e20 != h4(e11)
& e20 != h4(e12)
& e20 != h4(e13) )
| ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13) )
| ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| ( e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,definition,
( ( e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ( e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e13) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ( e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ( e21 != h1(e10)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f33,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( e20 != h1(e10)
& e20 != h1(e11)
& e20 != h1(e12)
& e20 != h1(e13) )
| sP11
| sP10
| sP9 )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e13) )
| sP8
| sP7
| sP6 )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( e20 != h3(e10)
& e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e13) )
| sP5
| sP4
| sP3 )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( e20 != h4(e10)
& e20 != h4(e11)
& e20 != h4(e12)
& e20 != h4(e13) )
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f20,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f34,definition,
( ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f37,plain,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| sP14
| sP13
| sP12 ),
inference(definition_folding,[],[f11,f36,f35,f34]) ).
fof(f38,definition,
( ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f41,plain,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 )
| sP17
| sP16
| sP15 ),
inference(definition_folding,[],[f10,f40,f39,f38]) ).
fof(f51,plain,
( ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f52,plain,
( ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f53,plain,
( ( e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f54,plain,
( ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f55,plain,
( ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f56,plain,
( ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f57,plain,
( ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 )
| ~ sP17 ),
inference(nnf_transformation,[],[f40]) ).
fof(f58,plain,
( ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ~ sP16 ),
inference(nnf_transformation,[],[f39]) ).
fof(f59,plain,
( ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 )
| ~ sP15 ),
inference(nnf_transformation,[],[f38]) ).
fof(f98,plain,
( e21 != h4(e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f51]) ).
fof(f101,plain,
( e22 != h4(e12)
| ~ sP1 ),
inference(cnf_transformation,[],[f52]) ).
fof(f104,plain,
( e23 != h4(e13)
| ~ sP0 ),
inference(cnf_transformation,[],[f53]) ).
fof(f111,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| e20 != h4(e10)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f124,plain,
op2(op2(e23,op2(e23,e23)),e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f125,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f126,plain,
op2(e23,op2(e23,e23)) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f127,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f129,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f137,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f140,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f141,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f142,plain,
e20 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f144,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f145,plain,
e10 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f146,plain,
( e23 = op2(op2(e21,e23),op2(e21,e23))
| ~ sP14 ),
inference(cnf_transformation,[],[f54]) ).
fof(f149,plain,
( e20 = op2(op2(e21,e20),op2(e21,e20))
| ~ sP14 ),
inference(cnf_transformation,[],[f54]) ).
fof(f150,plain,
( e23 = op2(op2(e22,e23),op2(e22,e23))
| ~ sP13 ),
inference(cnf_transformation,[],[f55]) ).
fof(f152,plain,
( e21 = op2(op2(e22,e21),op2(e22,e21))
| ~ sP13 ),
inference(cnf_transformation,[],[f55]) ).
fof(f153,plain,
( e20 = op2(op2(e22,e20),op2(e22,e20))
| ~ sP13 ),
inference(cnf_transformation,[],[f55]) ).
fof(f155,plain,
( e22 = op2(op2(e23,e22),op2(e23,e22))
| ~ sP12 ),
inference(cnf_transformation,[],[f56]) ).
fof(f157,plain,
( e20 = op2(op2(e23,e20),op2(e23,e20))
| ~ sP12 ),
inference(cnf_transformation,[],[f56]) ).
fof(f158,plain,
( e23 = op2(op2(e20,e23),op2(e20,e23))
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f37]) ).
fof(f159,plain,
( e22 = op2(op2(e20,e22),op2(e20,e22))
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f37]) ).
fof(f160,plain,
( e21 = op2(op2(e20,e21),op2(e20,e21))
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f37]) ).
fof(f162,plain,
( e13 = op1(op1(e11,e13),op1(e11,e13))
| ~ sP17 ),
inference(cnf_transformation,[],[f57]) ).
fof(f163,plain,
( e12 = op1(op1(e11,e12),op1(e11,e12))
| ~ sP17 ),
inference(cnf_transformation,[],[f57]) ).
fof(f164,plain,
( e11 = op1(op1(e11,e11),op1(e11,e11))
| ~ sP17 ),
inference(cnf_transformation,[],[f57]) ).
fof(f165,plain,
( e10 = op1(op1(e11,e10),op1(e11,e10))
| ~ sP17 ),
inference(cnf_transformation,[],[f57]) ).
fof(f166,plain,
( e13 = op1(op1(e12,e13),op1(e12,e13))
| ~ sP16 ),
inference(cnf_transformation,[],[f58]) ).
fof(f167,plain,
( e12 = op1(op1(e12,e12),op1(e12,e12))
| ~ sP16 ),
inference(cnf_transformation,[],[f58]) ).
fof(f169,plain,
( e10 = op1(op1(e12,e10),op1(e12,e10))
| ~ sP16 ),
inference(cnf_transformation,[],[f58]) ).
fof(f170,plain,
( e13 = op1(op1(e13,e13),op1(e13,e13))
| ~ sP15 ),
inference(cnf_transformation,[],[f59]) ).
fof(f172,plain,
( e11 = op1(op1(e13,e11),op1(e13,e11))
| ~ sP15 ),
inference(cnf_transformation,[],[f59]) ).
fof(f173,plain,
( e10 = op1(op1(e13,e10),op1(e13,e10))
| ~ sP15 ),
inference(cnf_transformation,[],[f59]) ).
fof(f174,plain,
( e13 = op1(op1(e10,e13),op1(e10,e13))
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f41]) ).
fof(f175,plain,
( e12 = op1(op1(e10,e12),op1(e10,e12))
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f41]) ).
fof(f177,plain,
( e10 = op1(op1(e10,e10),op1(e10,e10))
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f41]) ).
fof(f194,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f195,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f196,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f197,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f198,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f199,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f200,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f201,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f202,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f203,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f204,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f205,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f260,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f262,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f266,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f272,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f286,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f290,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f291,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f292,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f302,plain,
( e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f303,plain,
( e23 = op2(e23,e20)
| e23 = op2(e23,e21)
| e23 = op2(e23,e22)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f304,plain,
( e22 = op2(e20,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23)
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f305,plain,
( e22 = op2(e23,e20)
| e22 = op2(e23,e21)
| e22 = op2(e23,e22)
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f308,plain,
( e20 = op2(e20,e23)
| e20 = op2(e21,e23)
| e20 = op2(e22,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f310,plain,
( e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e22,e22)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f311,plain,
( e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e22)
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f312,plain,
( e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e22,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f313,plain,
( e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e22)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f314,plain,
( e21 = op2(e20,e22)
| e21 = op2(e21,e22)
| e21 = op2(e22,e22)
| e21 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f315,plain,
( e21 = op2(e22,e20)
| e21 = op2(e22,e21)
| e21 = op2(e22,e22)
| e21 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f316,plain,
( e20 = op2(e20,e22)
| e20 = op2(e21,e22)
| e20 = op2(e22,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f317,plain,
( e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e22)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f318,plain,
( e23 = op2(e20,e21)
| e23 = op2(e21,e21)
| e23 = op2(e22,e21)
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f319,plain,
( e23 = op2(e21,e20)
| e23 = op2(e21,e21)
| e23 = op2(e21,e22)
| e23 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f320,plain,
( e22 = op2(e20,e21)
| e22 = op2(e21,e21)
| e22 = op2(e22,e21)
| e22 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f321,plain,
( e22 = op2(e21,e20)
| e22 = op2(e21,e21)
| e22 = op2(e21,e22)
| e22 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f322,plain,
( e21 = op2(e20,e21)
| e21 = op2(e21,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f323,plain,
( e21 = op2(e21,e20)
| e21 = op2(e21,e21)
| e21 = op2(e21,e22)
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f325,plain,
( e20 = op2(e21,e20)
| e20 = op2(e21,e21)
| e20 = op2(e21,e22)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f326,plain,
( op2(e20,e20) = e23
| e23 = op2(e21,e20)
| e23 = op2(e22,e20)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f327,plain,
( op2(e20,e20) = e23
| e23 = op2(e20,e21)
| e23 = op2(e20,e22)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f328,plain,
( op2(e20,e20) = e22
| e22 = op2(e21,e20)
| e22 = op2(e22,e20)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f329,plain,
( op2(e20,e20) = e22
| e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f330,plain,
( op2(e20,e20) = e21
| e21 = op2(e21,e20)
| e21 = op2(e22,e20)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f331,plain,
( op2(e20,e20) = e21
| e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f332,plain,
( e20 = op2(e20,e20)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f333,plain,
( e20 = op2(e20,e20)
| e20 = op2(e20,e21)
| e20 = op2(e20,e22)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f338,plain,
( e20 = op2(e22,e23)
| e21 = op2(e22,e23)
| e22 = op2(e22,e23)
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f339,plain,
( e20 = op2(e22,e22)
| e21 = op2(e22,e22)
| e22 = op2(e22,e22)
| e23 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f345,plain,
( e20 = op2(e21,e20)
| e21 = op2(e21,e20)
| e22 = op2(e21,e20)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f350,plain,
( e13 = op1(e10,e13)
| e13 = op1(e11,e13)
| e13 = op1(e12,e13)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f351,plain,
( e13 = op1(e13,e10)
| e13 = op1(e13,e11)
| e13 = op1(e13,e12)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f352,plain,
( e12 = op1(e10,e13)
| e12 = op1(e11,e13)
| e12 = op1(e12,e13)
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f353,plain,
( e12 = op1(e13,e10)
| e12 = op1(e13,e11)
| e12 = op1(e13,e12)
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f356,plain,
( e10 = op1(e10,e13)
| e10 = op1(e11,e13)
| e10 = op1(e12,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f358,plain,
( e13 = op1(e10,e12)
| e13 = op1(e11,e12)
| e13 = op1(e12,e12)
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f359,plain,
( e13 = op1(e12,e10)
| e13 = op1(e12,e11)
| e13 = op1(e12,e12)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f360,plain,
( e12 = op1(e10,e12)
| e12 = op1(e11,e12)
| e12 = op1(e12,e12)
| e12 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f361,plain,
( e12 = op1(e12,e10)
| e12 = op1(e12,e11)
| e12 = op1(e12,e12)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f362,plain,
( e11 = op1(e10,e12)
| e11 = op1(e11,e12)
| e11 = op1(e12,e12)
| e11 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f363,plain,
( e11 = op1(e12,e10)
| e11 = op1(e12,e11)
| e11 = op1(e12,e12)
| e11 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f364,plain,
( e10 = op1(e10,e12)
| e10 = op1(e11,e12)
| e10 = op1(e12,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f365,plain,
( e10 = op1(e12,e10)
| e10 = op1(e12,e11)
| e10 = op1(e12,e12)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f366,plain,
( e13 = op1(e10,e11)
| e13 = op1(e11,e11)
| e13 = op1(e12,e11)
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f368,plain,
( e12 = op1(e10,e11)
| e12 = op1(e11,e11)
| e12 = op1(e12,e11)
| e12 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f369,plain,
( e12 = op1(e11,e10)
| e12 = op1(e11,e11)
| e12 = op1(e11,e12)
| e12 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f371,plain,
( e11 = op1(e11,e10)
| e11 = op1(e11,e11)
| e11 = op1(e11,e12)
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f373,plain,
( e10 = op1(e11,e10)
| e10 = op1(e11,e11)
| e10 = op1(e11,e12)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f374,plain,
( op1(e10,e10) = e13
| e13 = op1(e11,e10)
| e13 = op1(e12,e10)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f375,plain,
( op1(e10,e10) = e13
| e13 = op1(e10,e11)
| e13 = op1(e10,e12)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f377,plain,
( op1(e10,e10) = e12
| e12 = op1(e10,e11)
| e12 = op1(e10,e12)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f378,plain,
( op1(e10,e10) = e11
| e11 = op1(e11,e10)
| e11 = op1(e12,e10)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f380,plain,
( e10 = op1(e10,e10)
| e10 = op1(e11,e10)
| e10 = op1(e12,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f386,plain,
( e10 = op1(e12,e13)
| e11 = op1(e12,e13)
| e12 = op1(e12,e13)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f387,plain,
( e10 = op1(e12,e12)
| e11 = op1(e12,e12)
| e12 = op1(e12,e12)
| e13 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f388,plain,
( e10 = op1(e12,e11)
| e11 = op1(e12,e11)
| e12 = op1(e12,e11)
| e13 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f389,plain,
( e10 = op1(e12,e10)
| e11 = op1(e12,e10)
| e12 = op1(e12,e10)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f391,plain,
( e10 = op1(e11,e12)
| e11 = op1(e11,e12)
| e12 = op1(e11,e12)
| e13 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f393,plain,
( e10 = op1(e11,e10)
| e11 = op1(e11,e10)
| e12 = op1(e11,e10)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f395,plain,
( e10 = op1(e10,e12)
| e11 = op1(e10,e12)
| e12 = op1(e10,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f397,plain,
( e10 = op1(e10,e10)
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f1]) ).
fof(f399,definition,
( spl18_1
<=> e13 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f401,plain,
( e13 = op1(e13,e13)
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f403,definition,
( spl18_2
<=> e12 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f405,plain,
( e12 = op1(e13,e13)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f407,definition,
( spl18_3
<=> e11 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl18_3])],[avatar_definition]) ).
fof(f409,plain,
( e11 = op1(e13,e13)
| ~ spl18_3 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f411,definition,
( spl18_4
<=> e10 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl18_4])],[avatar_definition]) ).
fof(f413,plain,
( e10 = op1(e13,e13)
| ~ spl18_4 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f416,definition,
( spl18_5
<=> e13 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl18_5])],[avatar_definition]) ).
fof(f418,plain,
( e13 = op1(e13,e12)
| ~ spl18_5 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f420,definition,
( spl18_6
<=> e12 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl18_6])],[avatar_definition]) ).
fof(f422,plain,
( e12 = op1(e13,e12)
| ~ spl18_6 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f424,definition,
( spl18_7
<=> e11 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl18_7])],[avatar_definition]) ).
fof(f426,plain,
( e11 = op1(e13,e12)
| ~ spl18_7 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f428,definition,
( spl18_8
<=> e10 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl18_8])],[avatar_definition]) ).
fof(f430,plain,
( e10 = op1(e13,e12)
| ~ spl18_8 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f433,definition,
( spl18_9
<=> e13 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl18_9])],[avatar_definition]) ).
fof(f435,plain,
( e13 = op1(e13,e11)
| ~ spl18_9 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f437,definition,
( spl18_10
<=> e12 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl18_10])],[avatar_definition]) ).
fof(f439,plain,
( e12 = op1(e13,e11)
| ~ spl18_10 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f445,definition,
( spl18_12
<=> e10 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl18_12])],[avatar_definition]) ).
fof(f447,plain,
( e10 = op1(e13,e11)
| ~ spl18_12 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f450,definition,
( spl18_13
<=> e13 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl18_13])],[avatar_definition]) ).
fof(f452,plain,
( e13 = op1(e13,e10)
| ~ spl18_13 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f454,definition,
( spl18_14
<=> e12 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl18_14])],[avatar_definition]) ).
fof(f456,plain,
( e12 = op1(e13,e10)
| ~ spl18_14 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f458,definition,
( spl18_15
<=> e11 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl18_15])],[avatar_definition]) ).
fof(f460,plain,
( e11 = op1(e13,e10)
| ~ spl18_15 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f462,definition,
( spl18_16
<=> e10 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl18_16])],[avatar_definition]) ).
fof(f464,plain,
( e10 = op1(e13,e10)
| ~ spl18_16 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f467,definition,
( spl18_17
<=> e13 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl18_17])],[avatar_definition]) ).
fof(f469,plain,
( e13 = op1(e12,e13)
| ~ spl18_17 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f471,definition,
( spl18_18
<=> e12 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl18_18])],[avatar_definition]) ).
fof(f473,plain,
( e12 = op1(e12,e13)
| ~ spl18_18 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f475,definition,
( spl18_19
<=> e11 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl18_19])],[avatar_definition]) ).
fof(f477,plain,
( e11 = op1(e12,e13)
| ~ spl18_19 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f479,definition,
( spl18_20
<=> e10 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl18_20])],[avatar_definition]) ).
fof(f481,plain,
( e10 = op1(e12,e13)
| ~ spl18_20 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f482,plain,
( spl18_17
| spl18_18
| spl18_19
| spl18_20 ),
inference(avatar_split_clause,[],[f386,f479,f475,f471,f467]) ).
fof(f484,definition,
( spl18_21
<=> e13 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl18_21])],[avatar_definition]) ).
fof(f485,plain,
( e13 != op1(e12,e12)
| spl18_21 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f486,plain,
( e13 = op1(e12,e12)
| ~ spl18_21 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f488,definition,
( spl18_22
<=> e12 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl18_22])],[avatar_definition]) ).
fof(f489,plain,
( e12 != op1(e12,e12)
| spl18_22 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f490,plain,
( e12 = op1(e12,e12)
| ~ spl18_22 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f492,definition,
( spl18_23
<=> e11 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl18_23])],[avatar_definition]) ).
fof(f494,plain,
( e11 = op1(e12,e12)
| ~ spl18_23 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f496,definition,
( spl18_24
<=> e10 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl18_24])],[avatar_definition]) ).
fof(f498,plain,
( e10 = op1(e12,e12)
| ~ spl18_24 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f499,plain,
( spl18_21
| spl18_22
| spl18_23
| spl18_24 ),
inference(avatar_split_clause,[],[f387,f496,f492,f488,f484]) ).
fof(f501,definition,
( spl18_25
<=> e13 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl18_25])],[avatar_definition]) ).
fof(f503,plain,
( e13 = op1(e12,e11)
| ~ spl18_25 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f505,definition,
( spl18_26
<=> e12 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl18_26])],[avatar_definition]) ).
fof(f507,plain,
( e12 = op1(e12,e11)
| ~ spl18_26 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f509,definition,
( spl18_27
<=> e11 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl18_27])],[avatar_definition]) ).
fof(f511,plain,
( e11 = op1(e12,e11)
| ~ spl18_27 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f513,definition,
( spl18_28
<=> e10 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl18_28])],[avatar_definition]) ).
fof(f516,plain,
( spl18_25
| spl18_26
| spl18_27
| spl18_28 ),
inference(avatar_split_clause,[],[f388,f513,f509,f505,f501]) ).
fof(f518,definition,
( spl18_29
<=> e13 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl18_29])],[avatar_definition]) ).
fof(f520,plain,
( e13 = op1(e12,e10)
| ~ spl18_29 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f522,definition,
( spl18_30
<=> e12 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl18_30])],[avatar_definition]) ).
fof(f524,plain,
( e12 = op1(e12,e10)
| ~ spl18_30 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f526,definition,
( spl18_31
<=> e11 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl18_31])],[avatar_definition]) ).
fof(f528,plain,
( e11 = op1(e12,e10)
| ~ spl18_31 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f530,definition,
( spl18_32
<=> e10 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl18_32])],[avatar_definition]) ).
fof(f532,plain,
( e10 = op1(e12,e10)
| ~ spl18_32 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f533,plain,
( spl18_29
| spl18_30
| spl18_31
| spl18_32 ),
inference(avatar_split_clause,[],[f389,f530,f526,f522,f518]) ).
fof(f535,definition,
( spl18_33
<=> e13 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl18_33])],[avatar_definition]) ).
fof(f537,plain,
( e13 = op1(e11,e13)
| ~ spl18_33 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f539,definition,
( spl18_34
<=> e12 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl18_34])],[avatar_definition]) ).
fof(f541,plain,
( e12 = op1(e11,e13)
| ~ spl18_34 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f543,definition,
( spl18_35
<=> e11 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl18_35])],[avatar_definition]) ).
fof(f545,plain,
( e11 = op1(e11,e13)
| ~ spl18_35 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f547,definition,
( spl18_36
<=> e10 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl18_36])],[avatar_definition]) ).
fof(f549,plain,
( e10 = op1(e11,e13)
| ~ spl18_36 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f552,definition,
( spl18_37
<=> e13 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl18_37])],[avatar_definition]) ).
fof(f554,plain,
( e13 = op1(e11,e12)
| ~ spl18_37 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f556,definition,
( spl18_38
<=> e12 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl18_38])],[avatar_definition]) ).
fof(f558,plain,
( e12 = op1(e11,e12)
| ~ spl18_38 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f560,definition,
( spl18_39
<=> e11 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl18_39])],[avatar_definition]) ).
fof(f562,plain,
( e11 = op1(e11,e12)
| ~ spl18_39 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f564,definition,
( spl18_40
<=> e10 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl18_40])],[avatar_definition]) ).
fof(f566,plain,
( e10 = op1(e11,e12)
| ~ spl18_40 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f567,plain,
( spl18_37
| spl18_38
| spl18_39
| spl18_40 ),
inference(avatar_split_clause,[],[f391,f564,f560,f556,f552]) ).
fof(f569,definition,
( spl18_41
<=> e13 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl18_41])],[avatar_definition]) ).
fof(f571,plain,
( e13 = op1(e11,e11)
| ~ spl18_41 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f573,definition,
( spl18_42
<=> e12 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl18_42])],[avatar_definition]) ).
fof(f575,plain,
( e12 = op1(e11,e11)
| ~ spl18_42 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f577,definition,
( spl18_43
<=> e11 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl18_43])],[avatar_definition]) ).
fof(f579,plain,
( e11 = op1(e11,e11)
| ~ spl18_43 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f581,definition,
( spl18_44
<=> e10 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl18_44])],[avatar_definition]) ).
fof(f583,plain,
( e10 = op1(e11,e11)
| ~ spl18_44 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f586,definition,
( spl18_45
<=> e13 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl18_45])],[avatar_definition]) ).
fof(f588,plain,
( e13 = op1(e11,e10)
| ~ spl18_45 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f590,definition,
( spl18_46
<=> e12 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl18_46])],[avatar_definition]) ).
fof(f592,plain,
( e12 = op1(e11,e10)
| ~ spl18_46 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f594,definition,
( spl18_47
<=> e11 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl18_47])],[avatar_definition]) ).
fof(f596,plain,
( e11 = op1(e11,e10)
| ~ spl18_47 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f598,definition,
( spl18_48
<=> e10 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl18_48])],[avatar_definition]) ).
fof(f600,plain,
( e10 = op1(e11,e10)
| ~ spl18_48 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f601,plain,
( spl18_45
| spl18_46
| spl18_47
| spl18_48 ),
inference(avatar_split_clause,[],[f393,f598,f594,f590,f586]) ).
fof(f603,definition,
( spl18_49
<=> e13 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl18_49])],[avatar_definition]) ).
fof(f605,plain,
( e13 = op1(e10,e13)
| ~ spl18_49 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f607,definition,
( spl18_50
<=> e12 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl18_50])],[avatar_definition]) ).
fof(f609,plain,
( e12 = op1(e10,e13)
| ~ spl18_50 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f615,definition,
( spl18_52
<=> e10 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl18_52])],[avatar_definition]) ).
fof(f617,plain,
( e10 = op1(e10,e13)
| ~ spl18_52 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f620,definition,
( spl18_53
<=> e13 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl18_53])],[avatar_definition]) ).
fof(f622,plain,
( e13 = op1(e10,e12)
| ~ spl18_53 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f624,definition,
( spl18_54
<=> e12 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl18_54])],[avatar_definition]) ).
fof(f626,plain,
( e12 = op1(e10,e12)
| ~ spl18_54 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f628,definition,
( spl18_55
<=> e11 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl18_55])],[avatar_definition]) ).
fof(f630,plain,
( e11 = op1(e10,e12)
| ~ spl18_55 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f632,definition,
( spl18_56
<=> e10 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl18_56])],[avatar_definition]) ).
fof(f634,plain,
( e10 = op1(e10,e12)
| ~ spl18_56 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f635,plain,
( spl18_53
| spl18_54
| spl18_55
| spl18_56 ),
inference(avatar_split_clause,[],[f395,f632,f628,f624,f620]) ).
fof(f637,definition,
( spl18_57
<=> e13 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl18_57])],[avatar_definition]) ).
fof(f639,plain,
( e13 = op1(e10,e11)
| ~ spl18_57 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f641,definition,
( spl18_58
<=> e12 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl18_58])],[avatar_definition]) ).
fof(f643,plain,
( e12 = op1(e10,e11)
| ~ spl18_58 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f654,definition,
( spl18_61
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[spl18_61])],[avatar_definition]) ).
fof(f655,plain,
( op1(e10,e10) != e13
| spl18_61 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f656,plain,
( op1(e10,e10) = e13
| ~ spl18_61 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f658,definition,
( spl18_62
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[spl18_62])],[avatar_definition]) ).
fof(f659,plain,
( op1(e10,e10) != e12
| spl18_62 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f660,plain,
( op1(e10,e10) = e12
| ~ spl18_62 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f662,definition,
( spl18_63
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[spl18_63])],[avatar_definition]) ).
fof(f663,plain,
( op1(e10,e10) != e11
| spl18_63 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f664,plain,
( op1(e10,e10) = e11
| ~ spl18_63 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f666,definition,
( spl18_64
<=> e10 = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[spl18_64])],[avatar_definition]) ).
fof(f668,plain,
( e10 = op1(e10,e10)
| ~ spl18_64 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f669,plain,
( spl18_61
| spl18_62
| spl18_63
| spl18_64 ),
inference(avatar_split_clause,[],[f397,f666,f662,f658,f654]) ).
fof(f670,plain,
( spl18_1
| spl18_17
| spl18_33
| spl18_49 ),
inference(avatar_split_clause,[],[f350,f603,f535,f467,f399]) ).
fof(f671,plain,
( spl18_1
| spl18_5
| spl18_9
| spl18_13 ),
inference(avatar_split_clause,[],[f351,f450,f433,f416,f399]) ).
fof(f672,plain,
( spl18_2
| spl18_18
| spl18_34
| spl18_50 ),
inference(avatar_split_clause,[],[f352,f607,f539,f471,f403]) ).
fof(f673,plain,
( spl18_2
| spl18_6
| spl18_10
| spl18_14 ),
inference(avatar_split_clause,[],[f353,f454,f437,f420,f403]) ).
fof(f676,plain,
( spl18_4
| spl18_20
| spl18_36
| spl18_52 ),
inference(avatar_split_clause,[],[f356,f615,f547,f479,f411]) ).
fof(f678,plain,
( spl18_5
| spl18_21
| spl18_37
| spl18_53 ),
inference(avatar_split_clause,[],[f358,f620,f552,f484,f416]) ).
fof(f679,plain,
( spl18_17
| spl18_21
| spl18_25
| spl18_29 ),
inference(avatar_split_clause,[],[f359,f518,f501,f484,f467]) ).
fof(f680,plain,
( spl18_6
| spl18_22
| spl18_38
| spl18_54 ),
inference(avatar_split_clause,[],[f360,f624,f556,f488,f420]) ).
fof(f681,plain,
( spl18_18
| spl18_22
| spl18_26
| spl18_30 ),
inference(avatar_split_clause,[],[f361,f522,f505,f488,f471]) ).
fof(f682,plain,
( spl18_7
| spl18_23
| spl18_39
| spl18_55 ),
inference(avatar_split_clause,[],[f362,f628,f560,f492,f424]) ).
fof(f683,plain,
( spl18_19
| spl18_23
| spl18_27
| spl18_31 ),
inference(avatar_split_clause,[],[f363,f526,f509,f492,f475]) ).
fof(f684,plain,
( spl18_8
| spl18_24
| spl18_40
| spl18_56 ),
inference(avatar_split_clause,[],[f364,f632,f564,f496,f428]) ).
fof(f685,plain,
( spl18_20
| spl18_24
| spl18_28
| spl18_32 ),
inference(avatar_split_clause,[],[f365,f530,f513,f496,f479]) ).
fof(f686,plain,
( spl18_9
| spl18_25
| spl18_41
| spl18_57 ),
inference(avatar_split_clause,[],[f366,f637,f569,f501,f433]) ).
fof(f688,plain,
( spl18_10
| spl18_26
| spl18_42
| spl18_58 ),
inference(avatar_split_clause,[],[f368,f641,f573,f505,f437]) ).
fof(f689,plain,
( spl18_34
| spl18_38
| spl18_42
| spl18_46 ),
inference(avatar_split_clause,[],[f369,f590,f573,f556,f539]) ).
fof(f691,plain,
( spl18_35
| spl18_39
| spl18_43
| spl18_47 ),
inference(avatar_split_clause,[],[f371,f594,f577,f560,f543]) ).
fof(f693,plain,
( spl18_36
| spl18_40
| spl18_44
| spl18_48 ),
inference(avatar_split_clause,[],[f373,f598,f581,f564,f547]) ).
fof(f694,plain,
( spl18_13
| spl18_29
| spl18_45
| spl18_61 ),
inference(avatar_split_clause,[],[f374,f654,f586,f518,f450]) ).
fof(f695,plain,
( spl18_49
| spl18_53
| spl18_57
| spl18_61 ),
inference(avatar_split_clause,[],[f375,f654,f637,f620,f603]) ).
fof(f697,plain,
( spl18_50
| spl18_54
| spl18_58
| spl18_62 ),
inference(avatar_split_clause,[],[f377,f658,f641,f624,f607]) ).
fof(f698,plain,
( spl18_15
| spl18_31
| spl18_47
| spl18_63 ),
inference(avatar_split_clause,[],[f378,f662,f594,f526,f458]) ).
fof(f700,plain,
( spl18_16
| spl18_32
| spl18_48
| spl18_64 ),
inference(avatar_split_clause,[],[f380,f666,f598,f530,f462]) ).
fof(f703,definition,
( spl18_65
<=> e23 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl18_65])],[avatar_definition]) ).
fof(f705,plain,
( e23 = op2(e23,e23)
| ~ spl18_65 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f707,definition,
( spl18_66
<=> e22 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl18_66])],[avatar_definition]) ).
fof(f709,plain,
( e22 = op2(e23,e23)
| ~ spl18_66 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f711,definition,
( spl18_67
<=> e21 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl18_67])],[avatar_definition]) ).
fof(f713,plain,
( e21 = op2(e23,e23)
| ~ spl18_67 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f715,definition,
( spl18_68
<=> e20 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl18_68])],[avatar_definition]) ).
fof(f717,plain,
( e20 = op2(e23,e23)
| ~ spl18_68 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f720,definition,
( spl18_69
<=> e23 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl18_69])],[avatar_definition]) ).
fof(f722,plain,
( e23 = op2(e23,e22)
| ~ spl18_69 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f724,definition,
( spl18_70
<=> e22 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl18_70])],[avatar_definition]) ).
fof(f726,plain,
( e22 = op2(e23,e22)
| ~ spl18_70 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f728,definition,
( spl18_71
<=> e21 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl18_71])],[avatar_definition]) ).
fof(f730,plain,
( e21 = op2(e23,e22)
| ~ spl18_71 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f732,definition,
( spl18_72
<=> e20 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl18_72])],[avatar_definition]) ).
fof(f734,plain,
( e20 = op2(e23,e22)
| ~ spl18_72 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f737,definition,
( spl18_73
<=> e23 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl18_73])],[avatar_definition]) ).
fof(f739,plain,
( e23 = op2(e23,e21)
| ~ spl18_73 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f741,definition,
( spl18_74
<=> e22 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl18_74])],[avatar_definition]) ).
fof(f743,plain,
( e22 = op2(e23,e21)
| ~ spl18_74 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f745,definition,
( spl18_75
<=> e21 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl18_75])],[avatar_definition]) ).
fof(f747,plain,
( e21 = op2(e23,e21)
| ~ spl18_75 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f749,definition,
( spl18_76
<=> e20 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl18_76])],[avatar_definition]) ).
fof(f751,plain,
( e20 = op2(e23,e21)
| ~ spl18_76 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f754,definition,
( spl18_77
<=> e23 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl18_77])],[avatar_definition]) ).
fof(f756,plain,
( e23 = op2(e23,e20)
| ~ spl18_77 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f758,definition,
( spl18_78
<=> e22 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl18_78])],[avatar_definition]) ).
fof(f760,plain,
( e22 = op2(e23,e20)
| ~ spl18_78 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f762,definition,
( spl18_79
<=> e21 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl18_79])],[avatar_definition]) ).
fof(f764,plain,
( e21 = op2(e23,e20)
| ~ spl18_79 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f766,definition,
( spl18_80
<=> e20 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl18_80])],[avatar_definition]) ).
fof(f768,plain,
( e20 = op2(e23,e20)
| ~ spl18_80 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f771,definition,
( spl18_81
<=> e23 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl18_81])],[avatar_definition]) ).
fof(f773,plain,
( e23 = op2(e22,e23)
| ~ spl18_81 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f775,definition,
( spl18_82
<=> e22 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl18_82])],[avatar_definition]) ).
fof(f777,plain,
( e22 = op2(e22,e23)
| ~ spl18_82 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f779,definition,
( spl18_83
<=> e21 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl18_83])],[avatar_definition]) ).
fof(f781,plain,
( e21 = op2(e22,e23)
| ~ spl18_83 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f783,definition,
( spl18_84
<=> e20 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl18_84])],[avatar_definition]) ).
fof(f785,plain,
( e20 = op2(e22,e23)
| ~ spl18_84 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f786,plain,
( spl18_81
| spl18_82
| spl18_83
| spl18_84 ),
inference(avatar_split_clause,[],[f338,f783,f779,f775,f771]) ).
fof(f788,definition,
( spl18_85
<=> e23 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl18_85])],[avatar_definition]) ).
fof(f790,plain,
( e23 = op2(e22,e22)
| ~ spl18_85 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f792,definition,
( spl18_86
<=> e22 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl18_86])],[avatar_definition]) ).
fof(f794,plain,
( e22 = op2(e22,e22)
| ~ spl18_86 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f796,definition,
( spl18_87
<=> e21 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl18_87])],[avatar_definition]) ).
fof(f798,plain,
( e21 = op2(e22,e22)
| ~ spl18_87 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f800,definition,
( spl18_88
<=> e20 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl18_88])],[avatar_definition]) ).
fof(f802,plain,
( e20 = op2(e22,e22)
| ~ spl18_88 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f803,plain,
( spl18_85
| spl18_86
| spl18_87
| spl18_88 ),
inference(avatar_split_clause,[],[f339,f800,f796,f792,f788]) ).
fof(f805,definition,
( spl18_89
<=> e23 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl18_89])],[avatar_definition]) ).
fof(f807,plain,
( e23 = op2(e22,e21)
| ~ spl18_89 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f809,definition,
( spl18_90
<=> e22 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl18_90])],[avatar_definition]) ).
fof(f811,plain,
( e22 = op2(e22,e21)
| ~ spl18_90 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f813,definition,
( spl18_91
<=> e21 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl18_91])],[avatar_definition]) ).
fof(f815,plain,
( e21 = op2(e22,e21)
| ~ spl18_91 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f817,definition,
( spl18_92
<=> e20 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl18_92])],[avatar_definition]) ).
fof(f819,plain,
( e20 = op2(e22,e21)
| ~ spl18_92 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f822,definition,
( spl18_93
<=> e23 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl18_93])],[avatar_definition]) ).
fof(f824,plain,
( e23 = op2(e22,e20)
| ~ spl18_93 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f826,definition,
( spl18_94
<=> e22 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl18_94])],[avatar_definition]) ).
fof(f828,plain,
( e22 = op2(e22,e20)
| ~ spl18_94 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f830,definition,
( spl18_95
<=> e21 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl18_95])],[avatar_definition]) ).
fof(f832,plain,
( e21 = op2(e22,e20)
| ~ spl18_95 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f834,definition,
( spl18_96
<=> e20 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl18_96])],[avatar_definition]) ).
fof(f836,plain,
( e20 = op2(e22,e20)
| ~ spl18_96 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f839,definition,
( spl18_97
<=> e23 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl18_97])],[avatar_definition]) ).
fof(f841,plain,
( e23 = op2(e21,e23)
| ~ spl18_97 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f843,definition,
( spl18_98
<=> e22 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl18_98])],[avatar_definition]) ).
fof(f845,plain,
( e22 = op2(e21,e23)
| ~ spl18_98 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f847,definition,
( spl18_99
<=> e21 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl18_99])],[avatar_definition]) ).
fof(f849,plain,
( e21 = op2(e21,e23)
| ~ spl18_99 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f851,definition,
( spl18_100
<=> e20 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl18_100])],[avatar_definition]) ).
fof(f853,plain,
( e20 = op2(e21,e23)
| ~ spl18_100 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f856,definition,
( spl18_101
<=> e23 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl18_101])],[avatar_definition]) ).
fof(f858,plain,
( e23 = op2(e21,e22)
| ~ spl18_101 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f860,definition,
( spl18_102
<=> e22 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl18_102])],[avatar_definition]) ).
fof(f862,plain,
( e22 = op2(e21,e22)
| ~ spl18_102 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f864,definition,
( spl18_103
<=> e21 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl18_103])],[avatar_definition]) ).
fof(f866,plain,
( e21 = op2(e21,e22)
| ~ spl18_103 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f868,definition,
( spl18_104
<=> e20 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl18_104])],[avatar_definition]) ).
fof(f870,plain,
( e20 = op2(e21,e22)
| ~ spl18_104 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f873,definition,
( spl18_105
<=> e23 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl18_105])],[avatar_definition]) ).
fof(f875,plain,
( e23 = op2(e21,e21)
| ~ spl18_105 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f877,definition,
( spl18_106
<=> e22 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl18_106])],[avatar_definition]) ).
fof(f879,plain,
( e22 = op2(e21,e21)
| ~ spl18_106 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f881,definition,
( spl18_107
<=> e21 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl18_107])],[avatar_definition]) ).
fof(f883,plain,
( e21 = op2(e21,e21)
| ~ spl18_107 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f885,definition,
( spl18_108
<=> e20 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl18_108])],[avatar_definition]) ).
fof(f887,plain,
( e20 = op2(e21,e21)
| ~ spl18_108 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f890,definition,
( spl18_109
<=> e23 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl18_109])],[avatar_definition]) ).
fof(f892,plain,
( e23 = op2(e21,e20)
| ~ spl18_109 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f894,definition,
( spl18_110
<=> e22 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl18_110])],[avatar_definition]) ).
fof(f896,plain,
( e22 = op2(e21,e20)
| ~ spl18_110 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f898,definition,
( spl18_111
<=> e21 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl18_111])],[avatar_definition]) ).
fof(f900,plain,
( e21 = op2(e21,e20)
| ~ spl18_111 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f902,definition,
( spl18_112
<=> e20 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl18_112])],[avatar_definition]) ).
fof(f904,plain,
( e20 = op2(e21,e20)
| ~ spl18_112 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f905,plain,
( spl18_109
| spl18_110
| spl18_111
| spl18_112 ),
inference(avatar_split_clause,[],[f345,f902,f898,f894,f890]) ).
fof(f907,definition,
( spl18_113
<=> e23 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl18_113])],[avatar_definition]) ).
fof(f909,plain,
( e23 = op2(e20,e23)
| ~ spl18_113 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f911,definition,
( spl18_114
<=> e22 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl18_114])],[avatar_definition]) ).
fof(f913,plain,
( e22 = op2(e20,e23)
| ~ spl18_114 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f915,definition,
( spl18_115
<=> e21 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl18_115])],[avatar_definition]) ).
fof(f917,plain,
( e21 = op2(e20,e23)
| ~ spl18_115 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f919,definition,
( spl18_116
<=> e20 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl18_116])],[avatar_definition]) ).
fof(f921,plain,
( e20 = op2(e20,e23)
| ~ spl18_116 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f924,definition,
( spl18_117
<=> e23 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl18_117])],[avatar_definition]) ).
fof(f926,plain,
( e23 = op2(e20,e22)
| ~ spl18_117 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f928,definition,
( spl18_118
<=> e22 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl18_118])],[avatar_definition]) ).
fof(f930,plain,
( e22 = op2(e20,e22)
| ~ spl18_118 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f932,definition,
( spl18_119
<=> e21 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl18_119])],[avatar_definition]) ).
fof(f934,plain,
( e21 = op2(e20,e22)
| ~ spl18_119 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f936,definition,
( spl18_120
<=> e20 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl18_120])],[avatar_definition]) ).
fof(f938,plain,
( e20 = op2(e20,e22)
| ~ spl18_120 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f941,definition,
( spl18_121
<=> e23 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl18_121])],[avatar_definition]) ).
fof(f943,plain,
( e23 = op2(e20,e21)
| ~ spl18_121 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f945,definition,
( spl18_122
<=> e22 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl18_122])],[avatar_definition]) ).
fof(f947,plain,
( e22 = op2(e20,e21)
| ~ spl18_122 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f949,definition,
( spl18_123
<=> e21 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl18_123])],[avatar_definition]) ).
fof(f951,plain,
( e21 = op2(e20,e21)
| ~ spl18_123 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f953,definition,
( spl18_124
<=> e20 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl18_124])],[avatar_definition]) ).
fof(f955,plain,
( e20 = op2(e20,e21)
| ~ spl18_124 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f958,definition,
( spl18_125
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[spl18_125])],[avatar_definition]) ).
fof(f960,plain,
( op2(e20,e20) = e23
| ~ spl18_125 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f962,definition,
( spl18_126
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[spl18_126])],[avatar_definition]) ).
fof(f964,plain,
( op2(e20,e20) = e22
| ~ spl18_126 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f966,definition,
( spl18_127
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[spl18_127])],[avatar_definition]) ).
fof(f968,plain,
( op2(e20,e20) = e21
| ~ spl18_127 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f970,definition,
( spl18_128
<=> e20 = op2(e20,e20) ),
introduced(definition,[new_symbols(definition,[spl18_128])],[avatar_definition]) ).
fof(f972,plain,
( e20 = op2(e20,e20)
| ~ spl18_128 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f974,plain,
( spl18_65
| spl18_81
| spl18_97
| spl18_113 ),
inference(avatar_split_clause,[],[f302,f907,f839,f771,f703]) ).
fof(f975,plain,
( spl18_65
| spl18_69
| spl18_73
| spl18_77 ),
inference(avatar_split_clause,[],[f303,f754,f737,f720,f703]) ).
fof(f976,plain,
( spl18_66
| spl18_82
| spl18_98
| spl18_114 ),
inference(avatar_split_clause,[],[f304,f911,f843,f775,f707]) ).
fof(f977,plain,
( spl18_66
| spl18_70
| spl18_74
| spl18_78 ),
inference(avatar_split_clause,[],[f305,f758,f741,f724,f707]) ).
fof(f980,plain,
( spl18_68
| spl18_84
| spl18_100
| spl18_116 ),
inference(avatar_split_clause,[],[f308,f919,f851,f783,f715]) ).
fof(f982,plain,
( spl18_69
| spl18_85
| spl18_101
| spl18_117 ),
inference(avatar_split_clause,[],[f310,f924,f856,f788,f720]) ).
fof(f983,plain,
( spl18_81
| spl18_85
| spl18_89
| spl18_93 ),
inference(avatar_split_clause,[],[f311,f822,f805,f788,f771]) ).
fof(f984,plain,
( spl18_70
| spl18_86
| spl18_102
| spl18_118 ),
inference(avatar_split_clause,[],[f312,f928,f860,f792,f724]) ).
fof(f985,plain,
( spl18_82
| spl18_86
| spl18_90
| spl18_94 ),
inference(avatar_split_clause,[],[f313,f826,f809,f792,f775]) ).
fof(f986,plain,
( spl18_71
| spl18_87
| spl18_103
| spl18_119 ),
inference(avatar_split_clause,[],[f314,f932,f864,f796,f728]) ).
fof(f987,plain,
( spl18_83
| spl18_87
| spl18_91
| spl18_95 ),
inference(avatar_split_clause,[],[f315,f830,f813,f796,f779]) ).
fof(f988,plain,
( spl18_72
| spl18_88
| spl18_104
| spl18_120 ),
inference(avatar_split_clause,[],[f316,f936,f868,f800,f732]) ).
fof(f989,plain,
( spl18_84
| spl18_88
| spl18_92
| spl18_96 ),
inference(avatar_split_clause,[],[f317,f834,f817,f800,f783]) ).
fof(f990,plain,
( spl18_73
| spl18_89
| spl18_105
| spl18_121 ),
inference(avatar_split_clause,[],[f318,f941,f873,f805,f737]) ).
fof(f991,plain,
( spl18_97
| spl18_101
| spl18_105
| spl18_109 ),
inference(avatar_split_clause,[],[f319,f890,f873,f856,f839]) ).
fof(f992,plain,
( spl18_74
| spl18_90
| spl18_106
| spl18_122 ),
inference(avatar_split_clause,[],[f320,f945,f877,f809,f741]) ).
fof(f993,plain,
( spl18_98
| spl18_102
| spl18_106
| spl18_110 ),
inference(avatar_split_clause,[],[f321,f894,f877,f860,f843]) ).
fof(f994,plain,
( spl18_75
| spl18_91
| spl18_107
| spl18_123 ),
inference(avatar_split_clause,[],[f322,f949,f881,f813,f745]) ).
fof(f995,plain,
( spl18_99
| spl18_103
| spl18_107
| spl18_111 ),
inference(avatar_split_clause,[],[f323,f898,f881,f864,f847]) ).
fof(f997,plain,
( spl18_100
| spl18_104
| spl18_108
| spl18_112 ),
inference(avatar_split_clause,[],[f325,f902,f885,f868,f851]) ).
fof(f998,plain,
( spl18_77
| spl18_93
| spl18_109
| spl18_125 ),
inference(avatar_split_clause,[],[f326,f958,f890,f822,f754]) ).
fof(f999,plain,
( spl18_113
| spl18_117
| spl18_121
| spl18_125 ),
inference(avatar_split_clause,[],[f327,f958,f941,f924,f907]) ).
fof(f1000,plain,
( spl18_78
| spl18_94
| spl18_110
| spl18_126 ),
inference(avatar_split_clause,[],[f328,f962,f894,f826,f758]) ).
fof(f1001,plain,
( spl18_114
| spl18_118
| spl18_122
| spl18_126 ),
inference(avatar_split_clause,[],[f329,f962,f945,f928,f911]) ).
fof(f1002,plain,
( spl18_79
| spl18_95
| spl18_111
| spl18_127 ),
inference(avatar_split_clause,[],[f330,f966,f898,f830,f762]) ).
fof(f1003,plain,
( spl18_115
| spl18_119
| spl18_123
| spl18_127 ),
inference(avatar_split_clause,[],[f331,f966,f949,f932,f915]) ).
fof(f1004,plain,
( spl18_80
| spl18_96
| spl18_112
| spl18_128 ),
inference(avatar_split_clause,[],[f332,f970,f902,f834,f766]) ).
fof(f1005,plain,
( spl18_116
| spl18_120
| spl18_124
| spl18_128 ),
inference(avatar_split_clause,[],[f333,f970,f953,f936,f919]) ).
fof(f1007,definition,
( spl18_129
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl18_129])],[avatar_definition]) ).
fof(f1011,definition,
( spl18_130
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl18_130])],[avatar_definition]) ).
fof(f1015,definition,
( spl18_131
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl18_131])],[avatar_definition]) ).
fof(f1019,definition,
( spl18_132
<=> e13 = op1(op1(e10,e13),op1(e10,e13)) ),
introduced(definition,[new_symbols(definition,[spl18_132])],[avatar_definition]) ).
fof(f1021,plain,
( e13 = op1(op1(e10,e13),op1(e10,e13))
| ~ spl18_132 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f1022,plain,
( spl18_129
| spl18_130
| spl18_131
| spl18_132 ),
inference(avatar_split_clause,[],[f174,f1019,f1015,f1011,f1007]) ).
fof(f1024,definition,
( spl18_133
<=> e12 = op1(op1(e10,e12),op1(e10,e12)) ),
introduced(definition,[new_symbols(definition,[spl18_133])],[avatar_definition]) ).
fof(f1026,plain,
( e12 = op1(op1(e10,e12),op1(e10,e12))
| ~ spl18_133 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1027,plain,
( spl18_129
| spl18_130
| spl18_131
| spl18_133 ),
inference(avatar_split_clause,[],[f175,f1024,f1015,f1011,f1007]) ).
fof(f1034,definition,
( spl18_135
<=> e10 = op1(op1(e10,e10),op1(e10,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_135])],[avatar_definition]) ).
fof(f1035,plain,
( e10 != op1(op1(e10,e10),op1(e10,e10))
| spl18_135 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1036,plain,
( e10 = op1(op1(e10,e10),op1(e10,e10))
| ~ spl18_135 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1037,plain,
( spl18_129
| spl18_130
| spl18_131
| spl18_135 ),
inference(avatar_split_clause,[],[f177,f1034,f1015,f1011,f1007]) ).
fof(f1039,definition,
( spl18_136
<=> e13 = op1(op1(e13,e13),op1(e13,e13)) ),
introduced(definition,[new_symbols(definition,[spl18_136])],[avatar_definition]) ).
fof(f1040,plain,
( e13 != op1(op1(e13,e13),op1(e13,e13))
| spl18_136 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1041,plain,
( e13 = op1(op1(e13,e13),op1(e13,e13))
| ~ spl18_136 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1042,plain,
( ~ spl18_129
| spl18_136 ),
inference(avatar_split_clause,[],[f170,f1039,f1007]) ).
fof(f1049,definition,
( spl18_138
<=> e11 = op1(op1(e13,e11),op1(e13,e11)) ),
introduced(definition,[new_symbols(definition,[spl18_138])],[avatar_definition]) ).
fof(f1051,plain,
( e11 = op1(op1(e13,e11),op1(e13,e11))
| ~ spl18_138 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f1052,plain,
( ~ spl18_129
| spl18_138 ),
inference(avatar_split_clause,[],[f172,f1049,f1007]) ).
fof(f1054,definition,
( spl18_139
<=> e10 = op1(op1(e13,e10),op1(e13,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_139])],[avatar_definition]) ).
fof(f1056,plain,
( e10 = op1(op1(e13,e10),op1(e13,e10))
| ~ spl18_139 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1057,plain,
( ~ spl18_129
| spl18_139 ),
inference(avatar_split_clause,[],[f173,f1054,f1007]) ).
fof(f1059,definition,
( spl18_140
<=> e13 = op1(op1(e12,e13),op1(e12,e13)) ),
introduced(definition,[new_symbols(definition,[spl18_140])],[avatar_definition]) ).
fof(f1061,plain,
( e13 = op1(op1(e12,e13),op1(e12,e13))
| ~ spl18_140 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1062,plain,
( ~ spl18_130
| spl18_140 ),
inference(avatar_split_clause,[],[f166,f1059,f1011]) ).
fof(f1064,definition,
( spl18_141
<=> e12 = op1(op1(e12,e12),op1(e12,e12)) ),
introduced(definition,[new_symbols(definition,[spl18_141])],[avatar_definition]) ).
fof(f1065,plain,
( e12 != op1(op1(e12,e12),op1(e12,e12))
| spl18_141 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1066,plain,
( e12 = op1(op1(e12,e12),op1(e12,e12))
| ~ spl18_141 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1067,plain,
( ~ spl18_130
| spl18_141 ),
inference(avatar_split_clause,[],[f167,f1064,f1011]) ).
fof(f1074,definition,
( spl18_143
<=> e10 = op1(op1(e12,e10),op1(e12,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_143])],[avatar_definition]) ).
fof(f1075,plain,
( e10 != op1(op1(e12,e10),op1(e12,e10))
| spl18_143 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f1076,plain,
( e10 = op1(op1(e12,e10),op1(e12,e10))
| ~ spl18_143 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f1077,plain,
( ~ spl18_130
| spl18_143 ),
inference(avatar_split_clause,[],[f169,f1074,f1011]) ).
fof(f1079,definition,
( spl18_144
<=> e13 = op1(op1(e11,e13),op1(e11,e13)) ),
introduced(definition,[new_symbols(definition,[spl18_144])],[avatar_definition]) ).
fof(f1081,plain,
( e13 = op1(op1(e11,e13),op1(e11,e13))
| ~ spl18_144 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1082,plain,
( ~ spl18_131
| spl18_144 ),
inference(avatar_split_clause,[],[f162,f1079,f1015]) ).
fof(f1084,definition,
( spl18_145
<=> e12 = op1(op1(e11,e12),op1(e11,e12)) ),
introduced(definition,[new_symbols(definition,[spl18_145])],[avatar_definition]) ).
fof(f1086,plain,
( e12 = op1(op1(e11,e12),op1(e11,e12))
| ~ spl18_145 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f1087,plain,
( ~ spl18_131
| spl18_145 ),
inference(avatar_split_clause,[],[f163,f1084,f1015]) ).
fof(f1089,definition,
( spl18_146
<=> e11 = op1(op1(e11,e11),op1(e11,e11)) ),
introduced(definition,[new_symbols(definition,[spl18_146])],[avatar_definition]) ).
fof(f1090,plain,
( e11 != op1(op1(e11,e11),op1(e11,e11))
| spl18_146 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1091,plain,
( e11 = op1(op1(e11,e11),op1(e11,e11))
| ~ spl18_146 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1092,plain,
( ~ spl18_131
| spl18_146 ),
inference(avatar_split_clause,[],[f164,f1089,f1015]) ).
fof(f1094,definition,
( spl18_147
<=> e10 = op1(op1(e11,e10),op1(e11,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_147])],[avatar_definition]) ).
fof(f1096,plain,
( e10 = op1(op1(e11,e10),op1(e11,e10))
| ~ spl18_147 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1097,plain,
( ~ spl18_131
| spl18_147 ),
inference(avatar_split_clause,[],[f165,f1094,f1015]) ).
fof(f1099,definition,
( spl18_148
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl18_148])],[avatar_definition]) ).
fof(f1103,definition,
( spl18_149
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl18_149])],[avatar_definition]) ).
fof(f1107,definition,
( spl18_150
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl18_150])],[avatar_definition]) ).
fof(f1111,definition,
( spl18_151
<=> e23 = op2(op2(e20,e23),op2(e20,e23)) ),
introduced(definition,[new_symbols(definition,[spl18_151])],[avatar_definition]) ).
fof(f1113,plain,
( e23 = op2(op2(e20,e23),op2(e20,e23))
| ~ spl18_151 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f1114,plain,
( spl18_148
| spl18_149
| spl18_150
| spl18_151 ),
inference(avatar_split_clause,[],[f158,f1111,f1107,f1103,f1099]) ).
fof(f1116,definition,
( spl18_152
<=> e22 = op2(op2(e20,e22),op2(e20,e22)) ),
introduced(definition,[new_symbols(definition,[spl18_152])],[avatar_definition]) ).
fof(f1118,plain,
( e22 = op2(op2(e20,e22),op2(e20,e22))
| ~ spl18_152 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f1119,plain,
( spl18_148
| spl18_149
| spl18_150
| spl18_152 ),
inference(avatar_split_clause,[],[f159,f1116,f1107,f1103,f1099]) ).
fof(f1121,definition,
( spl18_153
<=> e21 = op2(op2(e20,e21),op2(e20,e21)) ),
introduced(definition,[new_symbols(definition,[spl18_153])],[avatar_definition]) ).
fof(f1123,plain,
( e21 = op2(op2(e20,e21),op2(e20,e21))
| ~ spl18_153 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1124,plain,
( spl18_148
| spl18_149
| spl18_150
| spl18_153 ),
inference(avatar_split_clause,[],[f160,f1121,f1107,f1103,f1099]) ).
fof(f1136,definition,
( spl18_156
<=> e22 = op2(op2(e23,e22),op2(e23,e22)) ),
introduced(definition,[new_symbols(definition,[spl18_156])],[avatar_definition]) ).
fof(f1137,plain,
( e22 != op2(op2(e23,e22),op2(e23,e22))
| spl18_156 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1138,plain,
( e22 = op2(op2(e23,e22),op2(e23,e22))
| ~ spl18_156 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1139,plain,
( ~ spl18_148
| spl18_156 ),
inference(avatar_split_clause,[],[f155,f1136,f1099]) ).
fof(f1146,definition,
( spl18_158
<=> e20 = op2(op2(e23,e20),op2(e23,e20)) ),
introduced(definition,[new_symbols(definition,[spl18_158])],[avatar_definition]) ).
fof(f1148,plain,
( e20 = op2(op2(e23,e20),op2(e23,e20))
| ~ spl18_158 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f1149,plain,
( ~ spl18_148
| spl18_158 ),
inference(avatar_split_clause,[],[f157,f1146,f1099]) ).
fof(f1151,definition,
( spl18_159
<=> e23 = op2(op2(e22,e23),op2(e22,e23)) ),
introduced(definition,[new_symbols(definition,[spl18_159])],[avatar_definition]) ).
fof(f1153,plain,
( e23 = op2(op2(e22,e23),op2(e22,e23))
| ~ spl18_159 ),
inference(avatar_component_clause,[],[f1151]) ).
fof(f1154,plain,
( ~ spl18_149
| spl18_159 ),
inference(avatar_split_clause,[],[f150,f1151,f1103]) ).
fof(f1161,definition,
( spl18_161
<=> e21 = op2(op2(e22,e21),op2(e22,e21)) ),
introduced(definition,[new_symbols(definition,[spl18_161])],[avatar_definition]) ).
fof(f1163,plain,
( e21 = op2(op2(e22,e21),op2(e22,e21))
| ~ spl18_161 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1164,plain,
( ~ spl18_149
| spl18_161 ),
inference(avatar_split_clause,[],[f152,f1161,f1103]) ).
fof(f1166,definition,
( spl18_162
<=> e20 = op2(op2(e22,e20),op2(e22,e20)) ),
introduced(definition,[new_symbols(definition,[spl18_162])],[avatar_definition]) ).
fof(f1168,plain,
( e20 = op2(op2(e22,e20),op2(e22,e20))
| ~ spl18_162 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f1169,plain,
( ~ spl18_149
| spl18_162 ),
inference(avatar_split_clause,[],[f153,f1166,f1103]) ).
fof(f1171,definition,
( spl18_163
<=> e23 = op2(op2(e21,e23),op2(e21,e23)) ),
introduced(definition,[new_symbols(definition,[spl18_163])],[avatar_definition]) ).
fof(f1173,plain,
( e23 = op2(op2(e21,e23),op2(e21,e23))
| ~ spl18_163 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f1174,plain,
( ~ spl18_150
| spl18_163 ),
inference(avatar_split_clause,[],[f146,f1171,f1107]) ).
fof(f1186,definition,
( spl18_166
<=> e20 = op2(op2(e21,e20),op2(e21,e20)) ),
introduced(definition,[new_symbols(definition,[spl18_166])],[avatar_definition]) ).
fof(f1188,plain,
( e20 = op2(op2(e21,e20),op2(e21,e20))
| ~ spl18_166 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1189,plain,
( ~ spl18_150
| spl18_166 ),
inference(avatar_split_clause,[],[f149,f1186,f1107]) ).
fof(f1190,plain,
spl18_3,
inference(avatar_split_clause,[],[f144,f407]) ).
fof(f1191,plain,
spl18_67,
inference(avatar_split_clause,[],[f141,f711]) ).
fof(f1195,plain,
e22 = h4(e12),
inference(forward_demodulation,[],[f124,f140]) ).
fof(f1196,plain,
e20 = h4(e10),
inference(forward_demodulation,[],[f126,f142]) ).
fof(f1200,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e23)
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| e20 != h4(e10)
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f111,f127]) ).
fof(f1213,plain,
~ sP0,
inference(forward_subsumption_resolution,[],[f104,f127]) ).
fof(f1215,definition,
( spl18_167
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl18_167])],[avatar_definition]) ).
fof(f1235,definition,
( spl18_171
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl18_171])],[avatar_definition]) ).
fof(f1239,definition,
( spl18_172
<=> e22 = h4(e12) ),
introduced(definition,[new_symbols(definition,[spl18_172])],[avatar_definition]) ).
fof(f1240,plain,
( e22 = h4(e12)
| ~ spl18_172 ),
inference(avatar_component_clause,[],[f1239]) ).
fof(f1242,plain,
( ~ spl18_171
| ~ spl18_172 ),
inference(avatar_split_clause,[],[f101,f1239,f1235]) ).
fof(f1255,definition,
( spl18_175
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl18_175])],[avatar_definition]) ).
fof(f1264,definition,
( spl18_177
<=> e21 = h4(e11) ),
introduced(definition,[new_symbols(definition,[spl18_177])],[avatar_definition]) ).
fof(f1265,plain,
( e21 = h4(e11)
| ~ spl18_177 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f1267,plain,
( ~ spl18_175
| ~ spl18_177 ),
inference(avatar_split_clause,[],[f98,f1264,f1255]) ).
fof(f1284,definition,
( spl18_181
<=> e23 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl18_181])],[avatar_definition]) ).
fof(f1285,plain,
( e23 = h3(e11)
| ~ spl18_181 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f1286,plain,
( e23 != h3(e11)
| spl18_181 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f1453,plain,
spl18_172,
inference(avatar_split_clause,[],[f1195,f1239]) ).
fof(f1457,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e23)
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP2
| sP1
| sP0 ),
inference(forward_subsumption_resolution,[],[f1200,f1196]) ).
fof(f1470,plain,
~ spl18_167,
inference(avatar_split_clause,[],[f1213,f1215]) ).
fof(f1476,plain,
( op2(e20,e23) != h4(op1(e10,e13))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1457,f1196]) ).
fof(f1492,plain,
( op2(e20,e20) != h4(op1(e10,e10))
| op2(e20,e23) != h4(op1(e10,e13))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1476,f1196]) ).
fof(f1508,plain,
( h1(e11) != h4(op1(e10,e10))
| op2(e20,e23) != h4(op1(e10,e13))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1492,f137]) ).
fof(f1524,plain,
( h4(op1(e10,e11)) != op2(e20,h4(e11))
| h1(e11) != h4(op1(e10,e10))
| op2(e20,e23) != h4(op1(e10,e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1508,f1196]) ).
fof(f1540,plain,
( h4(op1(e10,e12)) != op2(e20,h4(e12))
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h1(e11) != h4(op1(e10,e10))
| op2(e20,e23) != h4(op1(e10,e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1524,f1196]) ).
fof(f1556,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e20)
| h4(op1(e10,e12)) != op2(e20,h4(e12))
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h1(e11) != h4(op1(e10,e10))
| op2(e20,e23) != h4(op1(e10,e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1540,f1196]) ).
fof(f1572,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| h4(op1(e10,e12)) != op2(e20,h4(e12))
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h1(e11) != h4(op1(e10,e10))
| op2(e20,e23) != h4(op1(e10,e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1556,f127]) ).
fof(f1588,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| h4(op1(e10,e12)) != op2(e20,h4(e12))
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h1(e11) != h4(op1(e10,e10))
| op2(e20,e23) != h4(op1(e10,e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1572,f1196]) ).
fof(f1820,definition,
( spl18_270
<=> e20 = h1(e11) ),
introduced(definition,[new_symbols(definition,[spl18_270])],[avatar_definition]) ).
fof(f1821,plain,
( e20 = h1(e11)
| ~ spl18_270 ),
inference(avatar_component_clause,[],[f1820]) ).
fof(f1822,plain,
( e20 != h1(e11)
| spl18_270 ),
inference(avatar_component_clause,[],[f1820]) ).
fof(f1832,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e12,e10)) != op2(h4(e12),e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| h4(op1(e10,e12)) != op2(e20,h4(e12))
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h1(e11) != h4(op1(e10,e10))
| op2(e20,e23) != h4(op1(e10,e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1588,f127]) ).
fof(f1837,plain,
( h4(op1(e13,e10)) != op2(h4(e13),e20)
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e12,e10)) != op2(h4(e12),e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| h4(op1(e10,e12)) != op2(e20,h4(e12))
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h1(e11) != h4(op1(e10,e10))
| op2(e20,e23) != h4(op1(e10,e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1832,f1196]) ).
fof(f1841,plain,
( op2(e23,e20) != h4(op1(e13,e10))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e12,e10)) != op2(h4(e12),e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| h4(op1(e10,e12)) != op2(e20,h4(e12))
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h1(e11) != h4(op1(e10,e10))
| op2(e20,e23) != h4(op1(e10,e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1837,f127]) ).
fof(f1845,plain,
( h4(op1(e13,e11)) != op2(e23,h4(e11))
| op2(e23,e20) != h4(op1(e13,e10))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e12,e10)) != op2(h4(e12),e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| h4(op1(e10,e12)) != op2(e20,h4(e12))
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h1(e11) != h4(op1(e10,e10))
| op2(e20,e23) != h4(op1(e10,e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1841,f127]) ).
fof(f1849,plain,
( h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| op2(e23,e20) != h4(op1(e13,e10))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e12,e10)) != op2(h4(e12),e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| h4(op1(e10,e12)) != op2(e20,h4(e12))
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h1(e11) != h4(op1(e10,e10))
| op2(e20,e23) != h4(op1(e10,e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1845,f127]) ).
fof(f1853,plain,
( op2(e23,e23) != h4(op1(e13,e13))
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| op2(e23,e20) != h4(op1(e13,e10))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e12,e10)) != op2(h4(e12),e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| h4(op1(e10,e12)) != op2(e20,h4(e12))
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h1(e11) != h4(op1(e10,e10))
| op2(e20,e23) != h4(op1(e10,e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1849,f127]) ).
fof(f1860,definition,
( spl18_273
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(definition,[new_symbols(definition,[spl18_273])],[avatar_definition]) ).
fof(f1862,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl18_273 ),
inference(avatar_component_clause,[],[f1860]) ).
fof(f1864,definition,
( spl18_274
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(definition,[new_symbols(definition,[spl18_274])],[avatar_definition]) ).
fof(f1866,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl18_274 ),
inference(avatar_component_clause,[],[f1864]) ).
fof(f1868,definition,
( spl18_275
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(definition,[new_symbols(definition,[spl18_275])],[avatar_definition]) ).
fof(f1870,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl18_275 ),
inference(avatar_component_clause,[],[f1868]) ).
fof(f1872,definition,
( spl18_276
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(definition,[new_symbols(definition,[spl18_276])],[avatar_definition]) ).
fof(f1874,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl18_276 ),
inference(avatar_component_clause,[],[f1872]) ).
fof(f1876,definition,
( spl18_277
<=> op2(e20,e23) = h4(op1(e10,e13)) ),
introduced(definition,[new_symbols(definition,[spl18_277])],[avatar_definition]) ).
fof(f1878,plain,
( op2(e20,e23) != h4(op1(e10,e13))
| spl18_277 ),
inference(avatar_component_clause,[],[f1876]) ).
fof(f1880,definition,
( spl18_278
<=> h1(e11) = h4(op1(e10,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_278])],[avatar_definition]) ).
fof(f1882,plain,
( h1(e11) != h4(op1(e10,e10))
| spl18_278 ),
inference(avatar_component_clause,[],[f1880]) ).
fof(f1884,definition,
( spl18_279
<=> h4(op1(e10,e11)) = op2(e20,h4(e11)) ),
introduced(definition,[new_symbols(definition,[spl18_279])],[avatar_definition]) ).
fof(f1886,plain,
( h4(op1(e10,e11)) != op2(e20,h4(e11))
| spl18_279 ),
inference(avatar_component_clause,[],[f1884]) ).
fof(f1888,definition,
( spl18_280
<=> h4(op1(e10,e12)) = op2(e20,h4(e12)) ),
introduced(definition,[new_symbols(definition,[spl18_280])],[avatar_definition]) ).
fof(f1890,plain,
( h4(op1(e10,e12)) != op2(e20,h4(e12))
| spl18_280 ),
inference(avatar_component_clause,[],[f1888]) ).
fof(f1892,definition,
( spl18_281
<=> h4(op1(e11,e10)) = op2(h4(e11),e20) ),
introduced(definition,[new_symbols(definition,[spl18_281])],[avatar_definition]) ).
fof(f1894,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e20)
| spl18_281 ),
inference(avatar_component_clause,[],[f1892]) ).
fof(f1896,definition,
( spl18_282
<=> h4(op1(e11,e13)) = op2(h4(e11),e23) ),
introduced(definition,[new_symbols(definition,[spl18_282])],[avatar_definition]) ).
fof(f1898,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e23)
| spl18_282 ),
inference(avatar_component_clause,[],[f1896]) ).
fof(f1900,definition,
( spl18_283
<=> h4(op1(e12,e10)) = op2(h4(e12),e20) ),
introduced(definition,[new_symbols(definition,[spl18_283])],[avatar_definition]) ).
fof(f1902,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e20)
| spl18_283 ),
inference(avatar_component_clause,[],[f1900]) ).
fof(f1904,definition,
( spl18_284
<=> h4(op1(e12,e13)) = op2(h4(e12),e23) ),
introduced(definition,[new_symbols(definition,[spl18_284])],[avatar_definition]) ).
fof(f1906,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e23)
| spl18_284 ),
inference(avatar_component_clause,[],[f1904]) ).
fof(f1908,definition,
( spl18_285
<=> op2(e23,e20) = h4(op1(e13,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_285])],[avatar_definition]) ).
fof(f1910,plain,
( op2(e23,e20) != h4(op1(e13,e10))
| spl18_285 ),
inference(avatar_component_clause,[],[f1908]) ).
fof(f1912,definition,
( spl18_286
<=> h4(op1(e13,e11)) = op2(e23,h4(e11)) ),
introduced(definition,[new_symbols(definition,[spl18_286])],[avatar_definition]) ).
fof(f1914,plain,
( h4(op1(e13,e11)) != op2(e23,h4(e11))
| spl18_286 ),
inference(avatar_component_clause,[],[f1912]) ).
fof(f1916,definition,
( spl18_287
<=> h4(op1(e13,e12)) = op2(e23,h4(e12)) ),
introduced(definition,[new_symbols(definition,[spl18_287])],[avatar_definition]) ).
fof(f1918,plain,
( h4(op1(e13,e12)) != op2(e23,h4(e12))
| spl18_287 ),
inference(avatar_component_clause,[],[f1916]) ).
fof(f1920,definition,
( spl18_288
<=> h4(e11) = h4(op1(e13,e13)) ),
introduced(definition,[new_symbols(definition,[spl18_288])],[avatar_definition]) ).
fof(f1922,plain,
( h4(e11) != h4(op1(e13,e13))
| spl18_288 ),
inference(avatar_component_clause,[],[f1920]) ).
fof(f1929,plain,
( h4(e11) != h4(op1(e13,e13))
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| op2(e23,e20) != h4(op1(e13,e10))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e12,e10)) != op2(h4(e12),e20)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e11,e10)) != op2(h4(e11),e20)
| h4(op1(e10,e12)) != op2(e20,h4(e12))
| h4(op1(e10,e11)) != op2(e20,h4(e11))
| h1(e11) != h4(op1(e10,e10))
| op2(e20,e23) != h4(op1(e10,e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1853,f125]) ).
fof(f1930,plain,
( spl18_167
| spl18_171
| spl18_175
| ~ spl18_273
| ~ spl18_274
| ~ spl18_275
| ~ spl18_276
| ~ spl18_277
| ~ spl18_278
| ~ spl18_279
| ~ spl18_280
| ~ spl18_281
| ~ spl18_282
| ~ spl18_283
| ~ spl18_284
| ~ spl18_285
| ~ spl18_286
| ~ spl18_287
| ~ spl18_288 ),
inference(avatar_split_clause,[],[f1929,f1920,f1916,f1912,f1908,f1904,f1900,f1896,f1892,f1888,f1884,f1880,f1876,f1872,f1868,f1864,f1860,f1255,f1235,f1215]) ).
fof(f1932,plain,
( e12 = op1(e13,e13)
| ~ spl18_53
| ~ spl18_133 ),
inference(forward_demodulation,[],[f1026,f622]) ).
fof(f1934,plain,
( e10 = op1(e13,e13)
| ~ spl18_61
| ~ spl18_135 ),
inference(forward_demodulation,[],[f1036,f656]) ).
fof(f1935,plain,
( e23 = op2(e22,e22)
| ~ spl18_114
| ~ spl18_151 ),
inference(forward_demodulation,[],[f1113,f913]) ).
fof(f1936,plain,
( e22 = op2(e23,e23)
| ~ spl18_117
| ~ spl18_152 ),
inference(forward_demodulation,[],[f1118,f926]) ).
fof(f1943,plain,
( e11 = e12
| ~ spl18_3
| ~ spl18_53
| ~ spl18_133 ),
inference(forward_demodulation,[],[f1932,f409]) ).
fof(f1944,plain,
( spl18_4
| ~ spl18_61
| ~ spl18_135 ),
inference(avatar_split_clause,[],[f1934,f1034,f654,f411]) ).
fof(f1945,plain,
( e21 = e22
| ~ spl18_67
| ~ spl18_117
| ~ spl18_152 ),
inference(forward_demodulation,[],[f1936,f713]) ).
fof(f1950,plain,
( $false
| ~ spl18_3
| ~ spl18_53
| ~ spl18_133 ),
inference(forward_subsumption_resolution,[],[f1943,f202]) ).
fof(f1951,plain,
( ~ spl18_3
| ~ spl18_53
| ~ spl18_133 ),
inference(avatar_contradiction_clause,[],[f1950]) ).
fof(f1952,plain,
( $false
| ~ spl18_67
| ~ spl18_117
| ~ spl18_152 ),
inference(forward_subsumption_resolution,[],[f1945,f196]) ).
fof(f1953,plain,
( ~ spl18_67
| ~ spl18_117
| ~ spl18_152 ),
inference(avatar_contradiction_clause,[],[f1952]) ).
fof(f1954,plain,
( e22 = op2(e22,e22)
| ~ spl18_118
| ~ spl18_152 ),
inference(forward_demodulation,[],[f1118,f930]) ).
fof(f1955,plain,
( e12 = op1(e12,e12)
| ~ spl18_54
| ~ spl18_133 ),
inference(forward_demodulation,[],[f1026,f626]) ).
fof(f1956,plain,
( spl18_86
| ~ spl18_118
| ~ spl18_152 ),
inference(avatar_split_clause,[],[f1954,f1116,f928,f792]) ).
fof(f1957,plain,
( spl18_22
| ~ spl18_54
| ~ spl18_133 ),
inference(avatar_split_clause,[],[f1955,f1024,f624,f488]) ).
fof(f1958,plain,
( e10 = e11
| ~ spl18_3
| ~ spl18_4 ),
inference(superposition,[],[f413,f409]) ).
fof(f1962,plain,
( $false
| ~ spl18_3
| ~ spl18_4 ),
inference(forward_subsumption_resolution,[],[f1958,f205]) ).
fof(f1963,plain,
( ~ spl18_3
| ~ spl18_4 ),
inference(avatar_contradiction_clause,[],[f1962]) ).
fof(f1965,plain,
( e10 = op1(e12,e12)
| ~ spl18_62
| ~ spl18_135 ),
inference(forward_demodulation,[],[f1036,f660]) ).
fof(f1966,plain,
( spl18_24
| ~ spl18_62
| ~ spl18_135 ),
inference(avatar_split_clause,[],[f1965,f1034,f658,f496]) ).
fof(f1967,plain,
( e12 = e13
| ~ spl18_5
| ~ spl18_6 ),
inference(superposition,[],[f422,f418]) ).
fof(f1971,plain,
( $false
| ~ spl18_5
| ~ spl18_6 ),
inference(forward_subsumption_resolution,[],[f1967,f200]) ).
fof(f1972,plain,
( ~ spl18_5
| ~ spl18_6 ),
inference(avatar_contradiction_clause,[],[f1971]) ).
fof(f1983,plain,
( e10 = e13
| ~ spl18_9
| ~ spl18_12 ),
inference(forward_demodulation,[],[f435,f447]) ).
fof(f1984,plain,
( $false
| ~ spl18_9
| ~ spl18_12 ),
inference(forward_subsumption_resolution,[],[f1983,f203]) ).
fof(f1985,plain,
( ~ spl18_9
| ~ spl18_12 ),
inference(avatar_contradiction_clause,[],[f1984]) ).
fof(f1986,plain,
( e11 = e12
| ~ spl18_6
| ~ spl18_7 ),
inference(superposition,[],[f426,f422]) ).
fof(f1990,plain,
( $false
| ~ spl18_6
| ~ spl18_7 ),
inference(forward_subsumption_resolution,[],[f1986,f202]) ).
fof(f1991,plain,
( ~ spl18_6
| ~ spl18_7 ),
inference(avatar_contradiction_clause,[],[f1990]) ).
fof(f1993,plain,
( e10 = e11
| ~ spl18_23
| ~ spl18_24 ),
inference(forward_demodulation,[],[f494,f498]) ).
fof(f1994,plain,
( $false
| ~ spl18_23
| ~ spl18_24 ),
inference(forward_subsumption_resolution,[],[f1993,f205]) ).
fof(f1995,plain,
( ~ spl18_23
| ~ spl18_24 ),
inference(avatar_contradiction_clause,[],[f1994]) ).
fof(f1997,plain,
( e10 = e12
| ~ spl18_6
| ~ spl18_8 ),
inference(superposition,[],[f430,f422]) ).
fof(f2001,plain,
( $false
| ~ spl18_6
| ~ spl18_8 ),
inference(forward_subsumption_resolution,[],[f1997,f204]) ).
fof(f2002,plain,
( ~ spl18_6
| ~ spl18_8 ),
inference(avatar_contradiction_clause,[],[f2001]) ).
fof(f2007,plain,
( e11 = e12
| ~ spl18_14
| ~ spl18_15 ),
inference(superposition,[],[f460,f456]) ).
fof(f2011,plain,
( $false
| ~ spl18_14
| ~ spl18_15 ),
inference(forward_subsumption_resolution,[],[f2007,f202]) ).
fof(f2012,plain,
( ~ spl18_14
| ~ spl18_15 ),
inference(avatar_contradiction_clause,[],[f2011]) ).
fof(f2014,plain,
( e10 = e12
| ~ spl18_14
| ~ spl18_16 ),
inference(superposition,[],[f464,f456]) ).
fof(f2018,plain,
( $false
| ~ spl18_14
| ~ spl18_16 ),
inference(forward_subsumption_resolution,[],[f2014,f204]) ).
fof(f2019,plain,
( ~ spl18_14
| ~ spl18_16 ),
inference(avatar_contradiction_clause,[],[f2018]) ).
fof(f2024,plain,
( e12 = e13
| ~ spl18_17
| ~ spl18_18 ),
inference(superposition,[],[f473,f469]) ).
fof(f2028,plain,
( $false
| ~ spl18_17
| ~ spl18_18 ),
inference(forward_subsumption_resolution,[],[f2024,f200]) ).
fof(f2029,plain,
( ~ spl18_17
| ~ spl18_18 ),
inference(avatar_contradiction_clause,[],[f2028]) ).
fof(f2031,plain,
( e12 = e13
| ~ spl18_33
| ~ spl18_34 ),
inference(forward_demodulation,[],[f537,f541]) ).
fof(f2032,plain,
( $false
| ~ spl18_33
| ~ spl18_34 ),
inference(forward_subsumption_resolution,[],[f2031,f200]) ).
fof(f2033,plain,
( ~ spl18_33
| ~ spl18_34 ),
inference(avatar_contradiction_clause,[],[f2032]) ).
fof(f2035,plain,
( e11 = e12
| ~ spl18_38
| ~ spl18_39 ),
inference(forward_demodulation,[],[f558,f562]) ).
fof(f2037,plain,
( e11 = e13
| ~ spl18_33
| ~ spl18_35 ),
inference(forward_demodulation,[],[f537,f545]) ).
fof(f2038,plain,
( $false
| ~ spl18_38
| ~ spl18_39 ),
inference(forward_subsumption_resolution,[],[f2035,f202]) ).
fof(f2039,plain,
( ~ spl18_38
| ~ spl18_39 ),
inference(avatar_contradiction_clause,[],[f2038]) ).
fof(f2040,plain,
( $false
| ~ spl18_33
| ~ spl18_35 ),
inference(forward_subsumption_resolution,[],[f2037,f201]) ).
fof(f2041,plain,
( ~ spl18_33
| ~ spl18_35 ),
inference(avatar_contradiction_clause,[],[f2040]) ).
fof(f2046,plain,
( e10 = e13
| ~ spl18_33
| ~ spl18_36 ),
inference(forward_demodulation,[],[f537,f549]) ).
fof(f2048,plain,
( $false
| ~ spl18_33
| ~ spl18_36 ),
inference(forward_subsumption_resolution,[],[f2046,f203]) ).
fof(f2049,plain,
( ~ spl18_33
| ~ spl18_36 ),
inference(avatar_contradiction_clause,[],[f2048]) ).
fof(f2051,plain,
( e12 = e13
| ~ spl18_49
| ~ spl18_50 ),
inference(forward_demodulation,[],[f605,f609]) ).
fof(f2052,plain,
( $false
| ~ spl18_49
| ~ spl18_50 ),
inference(forward_subsumption_resolution,[],[f2051,f200]) ).
fof(f2053,plain,
( ~ spl18_49
| ~ spl18_50 ),
inference(avatar_contradiction_clause,[],[f2052]) ).
fof(f2061,plain,
( op1(e10,e10) = e13
| ~ spl18_52
| ~ spl18_132 ),
inference(forward_demodulation,[],[f1021,f617]) ).
fof(f2062,plain,
( e10 = e13
| ~ spl18_49
| ~ spl18_52 ),
inference(forward_demodulation,[],[f605,f617]) ).
fof(f2063,plain,
( $false
| ~ spl18_52
| spl18_61
| ~ spl18_132 ),
inference(forward_subsumption_resolution,[],[f2061,f655]) ).
fof(f2064,plain,
( ~ spl18_52
| spl18_61
| ~ spl18_132 ),
inference(avatar_contradiction_clause,[],[f2063]) ).
fof(f2065,plain,
( $false
| ~ spl18_49
| ~ spl18_52 ),
inference(forward_subsumption_resolution,[],[f2062,f203]) ).
fof(f2066,plain,
( ~ spl18_49
| ~ spl18_52 ),
inference(avatar_contradiction_clause,[],[f2065]) ).
fof(f2074,plain,
( e10 = e12
| ~ spl18_34
| ~ spl18_36 ),
inference(forward_demodulation,[],[f541,f549]) ).
fof(f2077,plain,
( $false
| ~ spl18_34
| ~ spl18_36 ),
inference(forward_subsumption_resolution,[],[f2074,f204]) ).
fof(f2078,plain,
( ~ spl18_34
| ~ spl18_36 ),
inference(avatar_contradiction_clause,[],[f2077]) ).
fof(f2079,plain,
( e11 = e13
| ~ spl18_1
| ~ spl18_3 ),
inference(forward_demodulation,[],[f401,f409]) ).
fof(f2081,plain,
( $false
| ~ spl18_1
| ~ spl18_3 ),
inference(forward_subsumption_resolution,[],[f2079,f201]) ).
fof(f2082,plain,
( ~ spl18_1
| ~ spl18_3 ),
inference(avatar_contradiction_clause,[],[f2081]) ).
fof(f2084,plain,
( e11 = e13
| ~ spl18_17
| ~ spl18_19 ),
inference(forward_demodulation,[],[f469,f477]) ).
fof(f2085,plain,
( $false
| ~ spl18_17
| ~ spl18_19 ),
inference(forward_subsumption_resolution,[],[f2084,f201]) ).
fof(f2086,plain,
( ~ spl18_17
| ~ spl18_19 ),
inference(avatar_contradiction_clause,[],[f2085]) ).
fof(f2089,plain,
( e10 = e13
| ~ spl18_17
| ~ spl18_20 ),
inference(forward_demodulation,[],[f469,f481]) ).
fof(f2090,plain,
( $false
| ~ spl18_17
| ~ spl18_20 ),
inference(forward_subsumption_resolution,[],[f2089,f203]) ).
fof(f2091,plain,
( ~ spl18_17
| ~ spl18_20 ),
inference(avatar_contradiction_clause,[],[f2090]) ).
fof(f2095,plain,
( e12 = e13
| ~ spl18_21
| ~ spl18_22 ),
inference(superposition,[],[f490,f486]) ).
fof(f2099,plain,
( $false
| ~ spl18_21
| ~ spl18_22 ),
inference(forward_subsumption_resolution,[],[f2095,f200]) ).
fof(f2100,plain,
( ~ spl18_21
| ~ spl18_22 ),
inference(avatar_contradiction_clause,[],[f2099]) ).
fof(f2112,plain,
( e10 = e12
| ~ spl18_22
| ~ spl18_24 ),
inference(superposition,[],[f498,f490]) ).
fof(f2116,plain,
( $false
| ~ spl18_22
| ~ spl18_24 ),
inference(forward_subsumption_resolution,[],[f2112,f204]) ).
fof(f2117,plain,
( ~ spl18_22
| ~ spl18_24 ),
inference(avatar_contradiction_clause,[],[f2116]) ).
fof(f2119,plain,
( e10 = e11
| ~ spl18_35
| ~ spl18_36 ),
inference(forward_demodulation,[],[f545,f549]) ).
fof(f2122,plain,
( e12 = op1(e11,e11)
| ~ spl18_55
| ~ spl18_133 ),
inference(forward_demodulation,[],[f1026,f630]) ).
fof(f2127,plain,
( $false
| ~ spl18_35
| ~ spl18_36 ),
inference(forward_subsumption_resolution,[],[f2119,f205]) ).
fof(f2128,plain,
( ~ spl18_35
| ~ spl18_36 ),
inference(avatar_contradiction_clause,[],[f2127]) ).
fof(f2129,plain,
( e10 = e12
| ~ spl18_18
| ~ spl18_20 ),
inference(superposition,[],[f481,f473]) ).
fof(f2135,plain,
( $false
| ~ spl18_18
| ~ spl18_20 ),
inference(forward_subsumption_resolution,[],[f2129,f204]) ).
fof(f2136,plain,
( ~ spl18_18
| ~ spl18_20 ),
inference(avatar_contradiction_clause,[],[f2135]) ).
fof(f2153,plain,
( e11 = e12
| ~ spl18_26
| ~ spl18_27 ),
inference(superposition,[],[f507,f511]) ).
fof(f2154,plain,
( $false
| ~ spl18_26
| ~ spl18_27 ),
inference(forward_subsumption_resolution,[],[f2153,f202]) ).
fof(f2155,plain,
( ~ spl18_26
| ~ spl18_27 ),
inference(avatar_contradiction_clause,[],[f2154]) ).
fof(f2169,plain,
( e11 = e13
| ~ spl18_29
| ~ spl18_31 ),
inference(superposition,[],[f528,f520]) ).
fof(f2170,plain,
( e11 = e13
| ~ spl18_29
| ~ spl18_31 ),
inference(superposition,[],[f520,f528]) ).
fof(f2171,plain,
( $false
| ~ spl18_29
| ~ spl18_31 ),
inference(forward_subsumption_resolution,[],[f2170,f201]) ).
fof(f2172,plain,
( ~ spl18_29
| ~ spl18_31 ),
inference(avatar_contradiction_clause,[],[f2171]) ).
fof(f2173,plain,
( $false
| ~ spl18_29
| ~ spl18_31 ),
inference(forward_subsumption_resolution,[],[f2169,f201]) ).
fof(f2174,plain,
( ~ spl18_29
| ~ spl18_31 ),
inference(avatar_contradiction_clause,[],[f2173]) ).
fof(f2175,plain,
( e10 = e13
| ~ spl18_21
| ~ spl18_24 ),
inference(forward_demodulation,[],[f486,f498]) ).
fof(f2177,plain,
( $false
| ~ spl18_21
| ~ spl18_24 ),
inference(forward_subsumption_resolution,[],[f2175,f203]) ).
fof(f2178,plain,
( ~ spl18_21
| ~ spl18_24 ),
inference(avatar_contradiction_clause,[],[f2177]) ).
fof(f2181,plain,
( e10 = e13
| ~ spl18_29
| ~ spl18_32 ),
inference(forward_demodulation,[],[f520,f532]) ).
fof(f2185,plain,
( $false
| ~ spl18_29
| ~ spl18_32 ),
inference(forward_subsumption_resolution,[],[f2181,f203]) ).
fof(f2186,plain,
( ~ spl18_29
| ~ spl18_32 ),
inference(avatar_contradiction_clause,[],[f2185]) ).
fof(f2187,plain,
( e11 = e13
| ~ spl18_25
| ~ spl18_27 ),
inference(forward_demodulation,[],[f503,f511]) ).
fof(f2189,plain,
( $false
| ~ spl18_25
| ~ spl18_27 ),
inference(forward_subsumption_resolution,[],[f2187,f201]) ).
fof(f2190,plain,
( ~ spl18_25
| ~ spl18_27 ),
inference(avatar_contradiction_clause,[],[f2189]) ).
fof(f2191,plain,
( e10 = e11
| ~ spl18_31
| ~ spl18_32 ),
inference(forward_demodulation,[],[f528,f532]) ).
fof(f2192,plain,
( $false
| ~ spl18_31
| ~ spl18_32 ),
inference(forward_subsumption_resolution,[],[f2191,f205]) ).
fof(f2193,plain,
( ~ spl18_31
| ~ spl18_32 ),
inference(avatar_contradiction_clause,[],[f2192]) ).
fof(f2211,plain,
( e11 = e13
| ~ spl18_53
| ~ spl18_55 ),
inference(forward_demodulation,[],[f622,f630]) ).
fof(f2213,plain,
( e13 = op1(e12,e12)
| ~ spl18_18
| ~ spl18_140 ),
inference(forward_demodulation,[],[f1061,f473]) ).
fof(f2214,plain,
( op1(e10,e10) = e12
| ~ spl18_24
| ~ spl18_141 ),
inference(forward_demodulation,[],[f1066,f498]) ).
fof(f2216,plain,
( e10 = op1(e13,e13)
| ~ spl18_29
| ~ spl18_143 ),
inference(forward_demodulation,[],[f1076,f520]) ).
fof(f2218,plain,
( $false
| ~ spl18_53
| ~ spl18_55 ),
inference(forward_subsumption_resolution,[],[f2211,f201]) ).
fof(f2219,plain,
( ~ spl18_53
| ~ spl18_55 ),
inference(avatar_contradiction_clause,[],[f2218]) ).
fof(f2223,plain,
( spl18_4
| ~ spl18_29
| ~ spl18_143 ),
inference(avatar_split_clause,[],[f2216,f1074,f518,f411]) ).
fof(f2231,plain,
( e12 = op1(e12,e12)
| ~ spl18_38
| ~ spl18_145 ),
inference(forward_demodulation,[],[f1086,f558]) ).
fof(f2233,plain,
( e10 = op1(e13,e13)
| ~ spl18_45
| ~ spl18_147 ),
inference(forward_demodulation,[],[f1096,f588]) ).
fof(f2235,plain,
( e10 = e13
| ~ spl18_53
| ~ spl18_56 ),
inference(forward_demodulation,[],[f622,f634]) ).
fof(f2243,plain,
( e10 = e12
| ~ spl18_24
| ~ spl18_38
| ~ spl18_145 ),
inference(forward_demodulation,[],[f2231,f498]) ).
fof(f2244,plain,
( spl18_4
| ~ spl18_45
| ~ spl18_147 ),
inference(avatar_split_clause,[],[f2233,f1094,f586,f411]) ).
fof(f2245,plain,
( $false
| ~ spl18_53
| ~ spl18_56 ),
inference(forward_subsumption_resolution,[],[f2235,f203]) ).
fof(f2246,plain,
( ~ spl18_53
| ~ spl18_56 ),
inference(avatar_contradiction_clause,[],[f2245]) ).
fof(f2249,plain,
( $false
| ~ spl18_24
| ~ spl18_38
| ~ spl18_145 ),
inference(forward_subsumption_resolution,[],[f2243,f204]) ).
fof(f2250,plain,
( ~ spl18_24
| ~ spl18_38
| ~ spl18_145 ),
inference(avatar_contradiction_clause,[],[f2249]) ).
fof(f2252,plain,
( e12 = e13
| ~ spl18_61
| ~ spl18_62 ),
inference(forward_demodulation,[],[f656,f660]) ).
fof(f2254,plain,
( e13 = op1(e11,e11)
| ~ spl18_3
| ~ spl18_136 ),
inference(forward_demodulation,[],[f1041,f409]) ).
fof(f2256,plain,
( e10 = op1(e13,e13)
| ~ spl18_13
| ~ spl18_139 ),
inference(forward_demodulation,[],[f1056,f452]) ).
fof(f2262,plain,
( $false
| ~ spl18_61
| ~ spl18_62 ),
inference(forward_subsumption_resolution,[],[f2252,f200]) ).
fof(f2263,plain,
( ~ spl18_61
| ~ spl18_62 ),
inference(avatar_contradiction_clause,[],[f2262]) ).
fof(f2267,plain,
( spl18_4
| ~ spl18_13
| ~ spl18_139 ),
inference(avatar_split_clause,[],[f2256,f1054,f450,f411]) ).
fof(f2282,plain,
( e10 = op1(e10,e10)
| ~ spl18_48
| ~ spl18_147 ),
inference(forward_demodulation,[],[f1096,f600]) ).
fof(f2283,plain,
( e13 = op1(e12,e12)
| ~ spl18_34
| ~ spl18_144 ),
inference(forward_demodulation,[],[f1081,f541]) ).
fof(f2288,plain,
( e12 = op1(e11,e11)
| ~ spl18_23
| ~ spl18_141 ),
inference(forward_demodulation,[],[f1066,f494]) ).
fof(f2295,plain,
( e11 = e13
| ~ spl18_23
| ~ spl18_34
| ~ spl18_144 ),
inference(forward_demodulation,[],[f2283,f494]) ).
fof(f2299,plain,
( $false
| ~ spl18_23
| ~ spl18_34
| ~ spl18_144 ),
inference(forward_subsumption_resolution,[],[f2295,f201]) ).
fof(f2300,plain,
( ~ spl18_23
| ~ spl18_34
| ~ spl18_144 ),
inference(avatar_contradiction_clause,[],[f2299]) ).
fof(f2306,plain,
( e13 = op1(e13,e13)
| ~ spl18_17
| ~ spl18_140 ),
inference(forward_demodulation,[],[f1061,f469]) ).
fof(f2307,plain,
( e10 = op1(e12,e12)
| ~ spl18_30
| ~ spl18_143 ),
inference(forward_demodulation,[],[f1076,f524]) ).
fof(f2317,plain,
( op1(e10,e10) = e12
| ~ spl18_24
| ~ spl18_141 ),
inference(forward_demodulation,[],[f1066,f498]) ).
fof(f2320,plain,
( e11 = e13
| ~ spl18_3
| ~ spl18_17
| ~ spl18_140 ),
inference(forward_demodulation,[],[f2306,f409]) ).
fof(f2324,plain,
( $false
| ~ spl18_3
| ~ spl18_17
| ~ spl18_140 ),
inference(forward_subsumption_resolution,[],[f2320,f201]) ).
fof(f2325,plain,
( ~ spl18_3
| ~ spl18_17
| ~ spl18_140 ),
inference(avatar_contradiction_clause,[],[f2324]) ).
fof(f2347,plain,
( e11 = e13
| ~ spl18_5
| ~ spl18_7 ),
inference(forward_demodulation,[],[f418,f426]) ).
fof(f2349,plain,
( e11 = e13
| ~ spl18_61
| ~ spl18_63 ),
inference(forward_demodulation,[],[f656,f664]) ).
fof(f2353,plain,
( e11 = e12
| ~ spl18_24
| ~ spl18_63
| ~ spl18_141 ),
inference(forward_demodulation,[],[f2317,f664]) ).
fof(f2357,plain,
( $false
| ~ spl18_5
| ~ spl18_7 ),
inference(forward_subsumption_resolution,[],[f2347,f201]) ).
fof(f2358,plain,
( ~ spl18_5
| ~ spl18_7 ),
inference(avatar_contradiction_clause,[],[f2357]) ).
fof(f2359,plain,
( $false
| ~ spl18_61
| ~ spl18_63 ),
inference(forward_subsumption_resolution,[],[f2349,f201]) ).
fof(f2360,plain,
( ~ spl18_61
| ~ spl18_63 ),
inference(avatar_contradiction_clause,[],[f2359]) ).
fof(f2365,plain,
( $false
| ~ spl18_24
| ~ spl18_63
| ~ spl18_141 ),
inference(forward_subsumption_resolution,[],[f2353,f202]) ).
fof(f2366,plain,
( ~ spl18_24
| ~ spl18_63
| ~ spl18_141 ),
inference(avatar_contradiction_clause,[],[f2365]) ).
fof(f2374,plain,
( e10 = e13
| ~ spl18_61
| ~ spl18_64 ),
inference(forward_demodulation,[],[f656,f668]) ).
fof(f2376,plain,
( e10 != op1(e10,e10)
| ~ spl18_64
| spl18_135 ),
inference(forward_demodulation,[],[f1035,f668]) ).
fof(f2382,plain,
( $false
| ~ spl18_61
| ~ spl18_64 ),
inference(forward_subsumption_resolution,[],[f2374,f203]) ).
fof(f2383,plain,
( ~ spl18_61
| ~ spl18_64 ),
inference(avatar_contradiction_clause,[],[f2382]) ).
fof(f2384,plain,
( $false
| ~ spl18_64
| spl18_135 ),
inference(forward_subsumption_resolution,[],[f2376,f668]) ).
fof(f2385,plain,
( ~ spl18_64
| spl18_135 ),
inference(avatar_contradiction_clause,[],[f2384]) ).
fof(f2392,plain,
( e10 = e11
| ~ spl18_47
| ~ spl18_48 ),
inference(forward_demodulation,[],[f596,f600]) ).
fof(f2397,plain,
( spl18_62
| ~ spl18_24
| ~ spl18_141 ),
inference(avatar_split_clause,[],[f2214,f1064,f496,f658]) ).
fof(f2400,plain,
( $false
| ~ spl18_47
| ~ spl18_48 ),
inference(forward_subsumption_resolution,[],[f2392,f205]) ).
fof(f2401,plain,
( ~ spl18_47
| ~ spl18_48 ),
inference(avatar_contradiction_clause,[],[f2400]) ).
fof(f2414,plain,
( e10 = e11
| ~ spl18_19
| ~ spl18_20 ),
inference(superposition,[],[f481,f477]) ).
fof(f2420,plain,
( $false
| ~ spl18_19
| ~ spl18_20 ),
inference(forward_subsumption_resolution,[],[f2414,f205]) ).
fof(f2421,plain,
( ~ spl18_19
| ~ spl18_20 ),
inference(avatar_contradiction_clause,[],[f2420]) ).
fof(f2433,plain,
( h4(e13) != op2(h4(e11),e23)
| ~ spl18_33
| spl18_282 ),
inference(superposition,[],[f1898,f537]) ).
fof(f2434,plain,
( e23 != op2(h4(e11),e23)
| ~ spl18_33
| spl18_282 ),
inference(forward_demodulation,[],[f2433,f127]) ).
fof(f2435,plain,
( e10 = e12
| ~ spl18_38
| ~ spl18_40 ),
inference(superposition,[],[f566,f558]) ).
fof(f2439,plain,
( $false
| ~ spl18_38
| ~ spl18_40 ),
inference(forward_subsumption_resolution,[],[f2435,f204]) ).
fof(f2440,plain,
( ~ spl18_38
| ~ spl18_40 ),
inference(avatar_contradiction_clause,[],[f2439]) ).
fof(f2451,plain,
( e11 = e13
| ~ spl18_3
| ~ spl18_43
| ~ spl18_136 ),
inference(forward_demodulation,[],[f2254,f579]) ).
fof(f2456,plain,
( $false
| ~ spl18_3
| ~ spl18_43
| ~ spl18_136 ),
inference(forward_subsumption_resolution,[],[f2451,f201]) ).
fof(f2457,plain,
( ~ spl18_3
| ~ spl18_43
| ~ spl18_136 ),
inference(avatar_contradiction_clause,[],[f2456]) ).
fof(f2479,plain,
( spl18_21
| ~ spl18_18
| ~ spl18_140 ),
inference(avatar_split_clause,[],[f2213,f1059,f471,f484]) ).
fof(f2481,plain,
( spl18_42
| ~ spl18_23
| ~ spl18_141 ),
inference(avatar_split_clause,[],[f2288,f1064,f492,f573]) ).
fof(f2486,plain,
( e10 = op1(e11,e11)
| ~ spl18_63
| ~ spl18_135 ),
inference(forward_demodulation,[],[f1036,f664]) ).
fof(f2497,plain,
( spl18_24
| ~ spl18_30
| ~ spl18_143 ),
inference(avatar_split_clause,[],[f2307,f1074,f522,f496]) ).
fof(f2505,plain,
( spl18_44
| ~ spl18_63
| ~ spl18_135 ),
inference(avatar_split_clause,[],[f2486,f1034,f662,f581]) ).
fof(f2512,plain,
( e12 = e13
| ~ spl18_13
| ~ spl18_14 ),
inference(forward_demodulation,[],[f452,f456]) ).
fof(f2521,plain,
( e13 = op1(e13,e13)
| ~ spl18_33
| ~ spl18_144 ),
inference(forward_demodulation,[],[f1081,f537]) ).
fof(f2532,plain,
( $false
| ~ spl18_13
| ~ spl18_14 ),
inference(forward_subsumption_resolution,[],[f2512,f200]) ).
fof(f2533,plain,
( ~ spl18_13
| ~ spl18_14 ),
inference(avatar_contradiction_clause,[],[f2532]) ).
fof(f2537,plain,
( e11 = e13
| ~ spl18_3
| ~ spl18_33
| ~ spl18_144 ),
inference(forward_demodulation,[],[f2521,f409]) ).
fof(f2538,plain,
( $false
| ~ spl18_3
| ~ spl18_33
| ~ spl18_144 ),
inference(forward_subsumption_resolution,[],[f2537,f201]) ).
fof(f2539,plain,
( ~ spl18_3
| ~ spl18_33
| ~ spl18_144 ),
inference(avatar_contradiction_clause,[],[f2538]) ).
fof(f2543,plain,
( e10 = e13
| ~ spl18_45
| ~ spl18_48 ),
inference(forward_demodulation,[],[f588,f600]) ).
fof(f2547,plain,
( e13 = op1(e11,e11)
| ~ spl18_3
| ~ spl18_136 ),
inference(forward_demodulation,[],[f1041,f409]) ).
fof(f2549,plain,
( op1(e10,e10) = e11
| ~ spl18_12
| ~ spl18_138 ),
inference(forward_demodulation,[],[f1051,f447]) ).
fof(f2550,plain,
( e10 = op1(e12,e12)
| ~ spl18_14
| ~ spl18_139 ),
inference(forward_demodulation,[],[f1056,f456]) ).
fof(f2556,plain,
( e11 = op1(e12,e12)
| ~ spl18_42
| ~ spl18_146 ),
inference(forward_demodulation,[],[f1091,f575]) ).
fof(f2559,plain,
( e12 = op1(e11,e11)
| ~ spl18_39
| ~ spl18_145 ),
inference(forward_demodulation,[],[f1086,f562]) ).
fof(f2562,plain,
( $false
| ~ spl18_45
| ~ spl18_48 ),
inference(forward_subsumption_resolution,[],[f2543,f203]) ).
fof(f2563,plain,
( ~ spl18_45
| ~ spl18_48 ),
inference(avatar_contradiction_clause,[],[f2562]) ).
fof(f2564,plain,
( e12 = e13
| ~ spl18_3
| ~ spl18_42
| ~ spl18_136 ),
inference(forward_demodulation,[],[f2547,f575]) ).
fof(f2567,plain,
( $false
| ~ spl18_12
| spl18_63
| ~ spl18_138 ),
inference(forward_subsumption_resolution,[],[f2549,f663]) ).
fof(f2568,plain,
( ~ spl18_12
| spl18_63
| ~ spl18_138 ),
inference(avatar_contradiction_clause,[],[f2567]) ).
fof(f2569,plain,
( spl18_24
| ~ spl18_14
| ~ spl18_139 ),
inference(avatar_split_clause,[],[f2550,f1054,f454,f496]) ).
fof(f2573,plain,
( spl18_23
| ~ spl18_42
| ~ spl18_146 ),
inference(avatar_split_clause,[],[f2556,f1089,f573,f492]) ).
fof(f2574,plain,
( $false
| ~ spl18_3
| ~ spl18_42
| ~ spl18_136 ),
inference(forward_subsumption_resolution,[],[f2564,f200]) ).
fof(f2575,plain,
( ~ spl18_3
| ~ spl18_42
| ~ spl18_136 ),
inference(avatar_contradiction_clause,[],[f2574]) ).
fof(f2580,plain,
( e10 = e12
| ~ spl18_46
| ~ spl18_48 ),
inference(forward_demodulation,[],[f592,f600]) ).
fof(f2588,plain,
( spl18_42
| ~ spl18_55
| ~ spl18_133 ),
inference(avatar_split_clause,[],[f2122,f1024,f628,f573]) ).
fof(f2592,plain,
( spl18_42
| ~ spl18_39
| ~ spl18_145 ),
inference(avatar_split_clause,[],[f2559,f1084,f560,f573]) ).
fof(f2597,plain,
( $false
| ~ spl18_46
| ~ spl18_48 ),
inference(forward_subsumption_resolution,[],[f2580,f204]) ).
fof(f2598,plain,
( ~ spl18_46
| ~ spl18_48 ),
inference(avatar_contradiction_clause,[],[f2597]) ).
fof(f2602,plain,
( e11 = e12
| ~ spl18_2
| ~ spl18_3 ),
inference(forward_demodulation,[],[f405,f409]) ).
fof(f2610,plain,
( op1(e10,e10) = e12
| ~ spl18_56
| ~ spl18_133 ),
inference(forward_demodulation,[],[f1026,f634]) ).
fof(f2617,plain,
( $false
| ~ spl18_2
| ~ spl18_3 ),
inference(forward_subsumption_resolution,[],[f2602,f202]) ).
fof(f2618,plain,
( ~ spl18_2
| ~ spl18_3 ),
inference(avatar_contradiction_clause,[],[f2617]) ).
fof(f2620,plain,
( $false
| ~ spl18_56
| spl18_62
| ~ spl18_133 ),
inference(forward_subsumption_resolution,[],[f2610,f659]) ).
fof(f2621,plain,
( ~ spl18_56
| spl18_62
| ~ spl18_133 ),
inference(avatar_contradiction_clause,[],[f2620]) ).
fof(f2682,plain,
( e12 != op1(e11,e11)
| ~ spl18_23
| spl18_141 ),
inference(forward_demodulation,[],[f1065,f494]) ).
fof(f2695,plain,
( e10 = e11
| ~ spl18_39
| ~ spl18_40 ),
inference(superposition,[],[f566,f562]) ).
fof(f2700,plain,
( $false
| ~ spl18_39
| ~ spl18_40 ),
inference(forward_subsumption_resolution,[],[f2695,f205]) ).
fof(f2701,plain,
( ~ spl18_39
| ~ spl18_40 ),
inference(avatar_contradiction_clause,[],[f2700]) ).
fof(f2705,plain,
( e12 = e13
| ~ spl18_45
| ~ spl18_46 ),
inference(superposition,[],[f592,f588]) ).
fof(f2709,plain,
( $false
| ~ spl18_45
| ~ spl18_46 ),
inference(forward_subsumption_resolution,[],[f2705,f200]) ).
fof(f2710,plain,
( ~ spl18_45
| ~ spl18_46 ),
inference(avatar_contradiction_clause,[],[f2709]) ).
fof(f2715,plain,
( e11 = e12
| ~ spl18_46
| ~ spl18_47 ),
inference(superposition,[],[f596,f592]) ).
fof(f2719,plain,
( $false
| ~ spl18_46
| ~ spl18_47 ),
inference(forward_subsumption_resolution,[],[f2715,f202]) ).
fof(f2720,plain,
( ~ spl18_46
| ~ spl18_47 ),
inference(avatar_contradiction_clause,[],[f2719]) ).
fof(f2744,plain,
( e10 = e13
| ~ spl18_5
| ~ spl18_8 ),
inference(superposition,[],[f430,f418]) ).
fof(f2749,plain,
( $false
| ~ spl18_5
| ~ spl18_8 ),
inference(forward_subsumption_resolution,[],[f2744,f203]) ).
fof(f2750,plain,
( ~ spl18_5
| ~ spl18_8 ),
inference(avatar_contradiction_clause,[],[f2749]) ).
fof(f2754,plain,
( e12 = e13
| ~ spl18_29
| ~ spl18_30 ),
inference(superposition,[],[f524,f520]) ).
fof(f2758,plain,
( $false
| ~ spl18_29
| ~ spl18_30 ),
inference(forward_subsumption_resolution,[],[f2754,f200]) ).
fof(f2759,plain,
( ~ spl18_29
| ~ spl18_30 ),
inference(avatar_contradiction_clause,[],[f2758]) ).
fof(f2763,plain,
( e11 = e12
| ~ spl18_22
| ~ spl18_23 ),
inference(forward_demodulation,[],[f490,f494]) ).
fof(f2769,plain,
( e13 = op1(e13,e13)
| ~ spl18_49
| ~ spl18_132 ),
inference(forward_demodulation,[],[f1021,f605]) ).
fof(f2770,plain,
( e12 = op1(e12,e12)
| ~ spl18_54
| ~ spl18_133 ),
inference(forward_demodulation,[],[f1026,f626]) ).
fof(f2771,plain,
( e13 != op1(e11,e11)
| ~ spl18_3
| spl18_136 ),
inference(forward_demodulation,[],[f1040,f409]) ).
fof(f2783,plain,
( $false
| ~ spl18_22
| ~ spl18_23 ),
inference(forward_subsumption_resolution,[],[f2763,f202]) ).
fof(f2784,plain,
( ~ spl18_22
| ~ spl18_23 ),
inference(avatar_contradiction_clause,[],[f2783]) ).
fof(f2789,plain,
( e11 = e13
| ~ spl18_3
| ~ spl18_49
| ~ spl18_132 ),
inference(forward_demodulation,[],[f2769,f409]) ).
fof(f2790,plain,
( e11 = e12
| ~ spl18_23
| ~ spl18_54
| ~ spl18_133 ),
inference(forward_demodulation,[],[f2770,f494]) ).
fof(f2791,plain,
( $false
| ~ spl18_3
| ~ spl18_41
| spl18_136 ),
inference(forward_subsumption_resolution,[],[f2771,f571]) ).
fof(f2792,plain,
( ~ spl18_3
| ~ spl18_41
| spl18_136 ),
inference(avatar_contradiction_clause,[],[f2791]) ).
fof(f2795,plain,
( $false
| ~ spl18_3
| ~ spl18_49
| ~ spl18_132 ),
inference(forward_subsumption_resolution,[],[f2789,f201]) ).
fof(f2796,plain,
( ~ spl18_3
| ~ spl18_49
| ~ spl18_132 ),
inference(avatar_contradiction_clause,[],[f2795]) ).
fof(f2797,plain,
( $false
| ~ spl18_23
| ~ spl18_54
| ~ spl18_133 ),
inference(forward_subsumption_resolution,[],[f2790,f202]) ).
fof(f2798,plain,
( ~ spl18_23
| ~ spl18_54
| ~ spl18_133 ),
inference(avatar_contradiction_clause,[],[f2797]) ).
fof(f2814,plain,
( e12 = op1(e13,e13)
| ~ spl18_37
| ~ spl18_145 ),
inference(forward_demodulation,[],[f1086,f554]) ).
fof(f2815,plain,
( e10 = op1(e11,e11)
| ~ spl18_47
| ~ spl18_147 ),
inference(forward_demodulation,[],[f1096,f596]) ).
fof(f2820,plain,
( $false
| ~ spl18_23
| ~ spl18_42
| spl18_141 ),
inference(forward_subsumption_resolution,[],[f2682,f575]) ).
fof(f2821,plain,
( ~ spl18_23
| ~ spl18_42
| spl18_141 ),
inference(avatar_contradiction_clause,[],[f2820]) ).
fof(f2825,plain,
( e10 != op1(e10,e10)
| ~ spl18_32
| spl18_143 ),
inference(forward_demodulation,[],[f1075,f532]) ).
fof(f2832,plain,
( e11 = e12
| ~ spl18_3
| ~ spl18_37
| ~ spl18_145 ),
inference(forward_demodulation,[],[f2814,f409]) ).
fof(f2833,plain,
( spl18_44
| ~ spl18_47
| ~ spl18_147 ),
inference(avatar_split_clause,[],[f2815,f1094,f594,f581]) ).
fof(f2835,plain,
( $false
| ~ spl18_3
| ~ spl18_37
| ~ spl18_145 ),
inference(forward_subsumption_resolution,[],[f2832,f202]) ).
fof(f2836,plain,
( ~ spl18_3
| ~ spl18_37
| ~ spl18_145 ),
inference(avatar_contradiction_clause,[],[f2835]) ).
fof(f2837,plain,
( e10 = e12
| ~ spl18_10
| ~ spl18_12 ),
inference(forward_demodulation,[],[f439,f447]) ).
fof(f2851,plain,
( e13 = op1(e11,e11)
| ~ spl18_19
| ~ spl18_140 ),
inference(forward_demodulation,[],[f1061,f477]) ).
fof(f2854,plain,
( e10 = op1(e10,e10)
| ~ spl18_32
| ~ spl18_143 ),
inference(forward_demodulation,[],[f1076,f532]) ).
fof(f2865,plain,
( op1(e10,e10) = e12
| ~ spl18_40
| ~ spl18_145 ),
inference(forward_demodulation,[],[f1086,f566]) ).
fof(f2874,plain,
( $false
| ~ spl18_10
| ~ spl18_12 ),
inference(forward_subsumption_resolution,[],[f2837,f204]) ).
fof(f2875,plain,
( ~ spl18_10
| ~ spl18_12 ),
inference(avatar_contradiction_clause,[],[f2874]) ).
fof(f2880,plain,
( e12 = e13
| ~ spl18_19
| ~ spl18_42
| ~ spl18_140 ),
inference(forward_demodulation,[],[f2851,f575]) ).
fof(f2881,plain,
( spl18_64
| ~ spl18_32
| ~ spl18_143 ),
inference(avatar_split_clause,[],[f2854,f1074,f530,f666]) ).
fof(f2888,plain,
( $false
| ~ spl18_19
| ~ spl18_42
| ~ spl18_140 ),
inference(forward_subsumption_resolution,[],[f2880,f200]) ).
fof(f2889,plain,
( ~ spl18_19
| ~ spl18_42
| ~ spl18_140 ),
inference(avatar_contradiction_clause,[],[f2888]) ).
fof(f2894,plain,
( e11 = e13
| ~ spl18_45
| ~ spl18_47 ),
inference(forward_demodulation,[],[f588,f596]) ).
fof(f2900,plain,
( $false
| ~ spl18_40
| spl18_62
| ~ spl18_145 ),
inference(forward_subsumption_resolution,[],[f2865,f659]) ).
fof(f2901,plain,
( ~ spl18_40
| spl18_62
| ~ spl18_145 ),
inference(avatar_contradiction_clause,[],[f2900]) ).
fof(f2903,plain,
( e10 = op1(e11,e11)
| ~ spl18_31
| ~ spl18_143 ),
inference(forward_demodulation,[],[f1076,f528]) ).
fof(f2907,plain,
( $false
| ~ spl18_45
| ~ spl18_47 ),
inference(forward_subsumption_resolution,[],[f2894,f201]) ).
fof(f2908,plain,
( ~ spl18_45
| ~ spl18_47 ),
inference(avatar_contradiction_clause,[],[f2907]) ).
fof(f2909,plain,
( spl18_44
| ~ spl18_31
| ~ spl18_143 ),
inference(avatar_split_clause,[],[f2903,f1074,f526,f581]) ).
fof(f2918,plain,
( e10 = e13
| ~ spl18_37
| ~ spl18_40 ),
inference(forward_demodulation,[],[f554,f566]) ).
fof(f2923,plain,
( e13 = op1(e12,e12)
| ~ spl18_50
| ~ spl18_132 ),
inference(forward_demodulation,[],[f1021,f609]) ).
fof(f2940,plain,
( $false
| ~ spl18_37
| ~ spl18_40 ),
inference(forward_subsumption_resolution,[],[f2918,f203]) ).
fof(f2941,plain,
( ~ spl18_37
| ~ spl18_40 ),
inference(avatar_contradiction_clause,[],[f2940]) ).
fof(f2942,plain,
( e11 = e13
| ~ spl18_23
| ~ spl18_50
| ~ spl18_132 ),
inference(forward_demodulation,[],[f2923,f494]) ).
fof(f2947,plain,
( $false
| ~ spl18_23
| ~ spl18_50
| ~ spl18_132 ),
inference(forward_subsumption_resolution,[],[f2942,f201]) ).
fof(f2948,plain,
( ~ spl18_23
| ~ spl18_50
| ~ spl18_132 ),
inference(avatar_contradiction_clause,[],[f2947]) ).
fof(f2978,plain,
( e10 = op1(e12,e12)
| ~ spl18_46
| ~ spl18_147 ),
inference(forward_demodulation,[],[f1096,f592]) ).
fof(f2999,plain,
( spl18_24
| ~ spl18_46
| ~ spl18_147 ),
inference(avatar_split_clause,[],[f2978,f1094,f590,f496]) ).
fof(f3012,plain,
( ~ spl18_64
| ~ spl18_32
| spl18_143 ),
inference(avatar_split_clause,[],[f2825,f1074,f530,f666]) ).
fof(f3020,plain,
( spl18_64
| ~ spl18_48
| ~ spl18_147 ),
inference(avatar_split_clause,[],[f2282,f1094,f598,f666]) ).
fof(f3035,plain,
( e12 = op1(e12,e12)
| ~ spl18_38
| ~ spl18_145 ),
inference(forward_demodulation,[],[f1086,f558]) ).
fof(f3055,plain,
( $false
| spl18_22
| ~ spl18_38
| ~ spl18_145 ),
inference(forward_subsumption_resolution,[],[f3035,f489]) ).
fof(f3056,plain,
( spl18_22
| ~ spl18_38
| ~ spl18_145 ),
inference(avatar_contradiction_clause,[],[f3055]) ).
fof(f3073,plain,
( e13 = op1(e12,e12)
| ~ spl18_50
| ~ spl18_132 ),
inference(forward_demodulation,[],[f1021,f609]) ).
fof(f3099,plain,
( e11 = e13
| ~ spl18_13
| ~ spl18_15 ),
inference(superposition,[],[f460,f452]) ).
fof(f3103,plain,
( $false
| ~ spl18_13
| ~ spl18_15 ),
inference(forward_subsumption_resolution,[],[f3099,f201]) ).
fof(f3104,plain,
( ~ spl18_13
| ~ spl18_15 ),
inference(avatar_contradiction_clause,[],[f3103]) ).
fof(f3120,plain,
( e12 = e13
| ~ spl18_57
| ~ spl18_58 ),
inference(superposition,[],[f643,f639]) ).
fof(f3124,plain,
( $false
| ~ spl18_57
| ~ spl18_58 ),
inference(forward_subsumption_resolution,[],[f3120,f200]) ).
fof(f3125,plain,
( ~ spl18_57
| ~ spl18_58 ),
inference(avatar_contradiction_clause,[],[f3124]) ).
fof(f3137,plain,
( e21 = e23
| ~ spl18_65
| ~ spl18_67 ),
inference(superposition,[],[f713,f705]) ).
fof(f3141,plain,
( $false
| ~ spl18_65
| ~ spl18_67 ),
inference(forward_subsumption_resolution,[],[f3137,f195]) ).
fof(f3142,plain,
( ~ spl18_65
| ~ spl18_67 ),
inference(avatar_contradiction_clause,[],[f3141]) ).
fof(f3144,plain,
( e22 = e23
| ~ spl18_77
| ~ spl18_78 ),
inference(forward_demodulation,[],[f756,f760]) ).
fof(f3145,plain,
( e22 = e23
| ~ spl18_81
| ~ spl18_82 ),
inference(forward_demodulation,[],[f773,f777]) ).
fof(f3147,plain,
( $false
| ~ spl18_77
| ~ spl18_78 ),
inference(forward_subsumption_resolution,[],[f3144,f194]) ).
fof(f3148,plain,
( ~ spl18_77
| ~ spl18_78 ),
inference(avatar_contradiction_clause,[],[f3147]) ).
fof(f3149,plain,
( $false
| ~ spl18_81
| ~ spl18_82 ),
inference(forward_subsumption_resolution,[],[f3145,f194]) ).
fof(f3150,plain,
( ~ spl18_81
| ~ spl18_82 ),
inference(avatar_contradiction_clause,[],[f3149]) ).
fof(f3154,plain,
( e21 = e23
| ~ spl18_81
| ~ spl18_83 ),
inference(forward_demodulation,[],[f773,f781]) ).
fof(f3157,plain,
( $false
| ~ spl18_81
| ~ spl18_83 ),
inference(forward_subsumption_resolution,[],[f3154,f195]) ).
fof(f3158,plain,
( ~ spl18_81
| ~ spl18_83 ),
inference(avatar_contradiction_clause,[],[f3157]) ).
fof(f3161,plain,
( e22 = e23
| ~ spl18_97
| ~ spl18_98 ),
inference(forward_demodulation,[],[f841,f845]) ).
fof(f3163,plain,
( $false
| ~ spl18_97
| ~ spl18_98 ),
inference(forward_subsumption_resolution,[],[f3161,f194]) ).
fof(f3164,plain,
( ~ spl18_97
| ~ spl18_98 ),
inference(avatar_contradiction_clause,[],[f3163]) ).
fof(f3169,plain,
( e21 = e23
| ~ spl18_97
| ~ spl18_99 ),
inference(forward_demodulation,[],[f841,f849]) ).
fof(f3171,plain,
( e20 = e23
| ~ spl18_73
| ~ spl18_76 ),
inference(forward_demodulation,[],[f739,f751]) ).
fof(f3172,plain,
( $false
| ~ spl18_97
| ~ spl18_99 ),
inference(forward_subsumption_resolution,[],[f3169,f195]) ).
fof(f3173,plain,
( ~ spl18_97
| ~ spl18_99 ),
inference(avatar_contradiction_clause,[],[f3172]) ).
fof(f3174,plain,
( $false
| ~ spl18_73
| ~ spl18_76 ),
inference(forward_subsumption_resolution,[],[f3171,f197]) ).
fof(f3175,plain,
( ~ spl18_73
| ~ spl18_76 ),
inference(avatar_contradiction_clause,[],[f3174]) ).
fof(f3176,plain,
( e20 = e23
| ~ spl18_81
| ~ spl18_84 ),
inference(forward_demodulation,[],[f773,f785]) ).
fof(f3180,plain,
( $false
| ~ spl18_81
| ~ spl18_84 ),
inference(forward_subsumption_resolution,[],[f3176,f197]) ).
fof(f3181,plain,
( ~ spl18_81
| ~ spl18_84 ),
inference(avatar_contradiction_clause,[],[f3180]) ).
fof(f3183,plain,
( e20 = e23
| ~ spl18_97
| ~ spl18_100 ),
inference(forward_demodulation,[],[f841,f853]) ).
fof(f3186,plain,
( $false
| ~ spl18_97
| ~ spl18_100 ),
inference(forward_subsumption_resolution,[],[f3183,f197]) ).
fof(f3187,plain,
( ~ spl18_97
| ~ spl18_100 ),
inference(avatar_contradiction_clause,[],[f3186]) ).
fof(f3192,plain,
( e21 = e22
| ~ spl18_70
| ~ spl18_71 ),
inference(superposition,[],[f730,f726]) ).
fof(f3196,plain,
( $false
| ~ spl18_70
| ~ spl18_71 ),
inference(forward_subsumption_resolution,[],[f3192,f196]) ).
fof(f3197,plain,
( ~ spl18_70
| ~ spl18_71 ),
inference(avatar_contradiction_clause,[],[f3196]) ).
fof(f3199,plain,
( e20 = e22
| ~ spl18_70
| ~ spl18_72 ),
inference(superposition,[],[f734,f726]) ).
fof(f3203,plain,
( $false
| ~ spl18_70
| ~ spl18_72 ),
inference(forward_subsumption_resolution,[],[f3199,f198]) ).
fof(f3204,plain,
( ~ spl18_70
| ~ spl18_72 ),
inference(avatar_contradiction_clause,[],[f3203]) ).
fof(f3209,plain,
( e21 = e22
| ~ spl18_78
| ~ spl18_79 ),
inference(superposition,[],[f764,f760]) ).
fof(f3213,plain,
( $false
| ~ spl18_78
| ~ spl18_79 ),
inference(forward_subsumption_resolution,[],[f3209,f196]) ).
fof(f3214,plain,
( ~ spl18_78
| ~ spl18_79 ),
inference(avatar_contradiction_clause,[],[f3213]) ).
fof(f3216,plain,
( e20 = e22
| ~ spl18_78
| ~ spl18_80 ),
inference(superposition,[],[f768,f760]) ).
fof(f3220,plain,
( $false
| ~ spl18_78
| ~ spl18_80 ),
inference(forward_subsumption_resolution,[],[f3216,f198]) ).
fof(f3221,plain,
( ~ spl18_78
| ~ spl18_80 ),
inference(avatar_contradiction_clause,[],[f3220]) ).
fof(f3223,plain,
( e20 = e21
| ~ spl18_67
| ~ spl18_68 ),
inference(superposition,[],[f717,f713]) ).
fof(f3227,plain,
( $false
| ~ spl18_67
| ~ spl18_68 ),
inference(forward_subsumption_resolution,[],[f3223,f199]) ).
fof(f3228,plain,
( ~ spl18_67
| ~ spl18_68 ),
inference(avatar_contradiction_clause,[],[f3227]) ).
fof(f3230,plain,
( e22 = e23
| ~ spl18_69
| ~ spl18_70 ),
inference(forward_demodulation,[],[f722,f726]) ).
fof(f3232,plain,
( $false
| ~ spl18_69
| ~ spl18_70 ),
inference(forward_subsumption_resolution,[],[f3230,f194]) ).
fof(f3233,plain,
( ~ spl18_69
| ~ spl18_70 ),
inference(avatar_contradiction_clause,[],[f3232]) ).
fof(f3240,plain,
( e22 = e23
| ~ spl18_85
| ~ spl18_86 ),
inference(superposition,[],[f794,f790]) ).
fof(f3244,plain,
( $false
| ~ spl18_85
| ~ spl18_86 ),
inference(forward_subsumption_resolution,[],[f3240,f194]) ).
fof(f3245,plain,
( ~ spl18_85
| ~ spl18_86 ),
inference(avatar_contradiction_clause,[],[f3244]) ).
fof(f3247,plain,
( e22 = e23
| ~ spl18_86
| ~ spl18_114
| ~ spl18_151 ),
inference(forward_demodulation,[],[f1935,f794]) ).
fof(f3249,plain,
( $false
| ~ spl18_86
| ~ spl18_114
| ~ spl18_151 ),
inference(forward_subsumption_resolution,[],[f3247,f194]) ).
fof(f3250,plain,
( ~ spl18_86
| ~ spl18_114
| ~ spl18_151 ),
inference(avatar_contradiction_clause,[],[f3249]) ).
fof(f3253,plain,
( e22 = op2(e23,e23)
| ~ spl18_69
| ~ spl18_156 ),
inference(forward_demodulation,[],[f1138,f722]) ).
fof(f3257,plain,
( e21 = e22
| ~ spl18_67
| ~ spl18_69
| ~ spl18_156 ),
inference(forward_demodulation,[],[f3253,f713]) ).
fof(f3260,plain,
( $false
| ~ spl18_67
| ~ spl18_69
| ~ spl18_156 ),
inference(forward_subsumption_resolution,[],[f3257,f196]) ).
fof(f3261,plain,
( ~ spl18_67
| ~ spl18_69
| ~ spl18_156 ),
inference(avatar_contradiction_clause,[],[f3260]) ).
fof(f3265,plain,
( e20 = op2(e23,e23)
| ~ spl18_77
| ~ spl18_158 ),
inference(forward_demodulation,[],[f1148,f756]) ).
fof(f3267,plain,
( spl18_68
| ~ spl18_77
| ~ spl18_158 ),
inference(avatar_split_clause,[],[f3265,f1146,f754,f715]) ).
fof(f3269,plain,
( e23 = op2(e23,e23)
| ~ spl18_81
| ~ spl18_159 ),
inference(forward_demodulation,[],[f1153,f773]) ).
fof(f3272,plain,
( e20 = op2(e23,e23)
| ~ spl18_93
| ~ spl18_162 ),
inference(forward_demodulation,[],[f1168,f824]) ).
fof(f3274,plain,
( e21 = e23
| ~ spl18_67
| ~ spl18_81
| ~ spl18_159 ),
inference(forward_demodulation,[],[f3269,f713]) ).
fof(f3275,plain,
( spl18_68
| ~ spl18_93
| ~ spl18_162 ),
inference(avatar_split_clause,[],[f3272,f1166,f822,f715]) ).
fof(f3276,plain,
( $false
| ~ spl18_67
| ~ spl18_81
| ~ spl18_159 ),
inference(forward_subsumption_resolution,[],[f3274,f195]) ).
fof(f3277,plain,
( ~ spl18_67
| ~ spl18_81
| ~ spl18_159 ),
inference(avatar_contradiction_clause,[],[f3276]) ).
fof(f3282,plain,
( e20 = op2(e21,e21)
| ~ spl18_95
| ~ spl18_162 ),
inference(forward_demodulation,[],[f1168,f832]) ).
fof(f3286,plain,
( spl18_108
| ~ spl18_95
| ~ spl18_162 ),
inference(avatar_split_clause,[],[f3282,f1166,f830,f885]) ).
fof(f3289,plain,
( e20 = op2(e20,e20)
| ~ spl18_96
| ~ spl18_162 ),
inference(forward_demodulation,[],[f1168,f836]) ).
fof(f3290,plain,
( spl18_128
| ~ spl18_96
| ~ spl18_162 ),
inference(avatar_split_clause,[],[f3289,f1166,f834,f970]) ).
fof(f3294,plain,
( e20 = op2(e22,e22)
| ~ spl18_94
| ~ spl18_162 ),
inference(forward_demodulation,[],[f1168,f828]) ).
fof(f3295,plain,
( spl18_88
| ~ spl18_94
| ~ spl18_162 ),
inference(avatar_split_clause,[],[f3294,f1166,f826,f800]) ).
fof(f3300,plain,
( e20 = e22
| ~ spl18_86
| ~ spl18_88 ),
inference(superposition,[],[f802,f794]) ).
fof(f3304,plain,
( $false
| ~ spl18_86
| ~ spl18_88 ),
inference(forward_subsumption_resolution,[],[f3300,f198]) ).
fof(f3305,plain,
( ~ spl18_86
| ~ spl18_88 ),
inference(avatar_contradiction_clause,[],[f3304]) ).
fof(f3311,plain,
( e21 = e23
| ~ spl18_89
| ~ spl18_91 ),
inference(superposition,[],[f815,f807]) ).
fof(f3315,plain,
( $false
| ~ spl18_89
| ~ spl18_91 ),
inference(forward_subsumption_resolution,[],[f3311,f195]) ).
fof(f3316,plain,
( ~ spl18_89
| ~ spl18_91 ),
inference(avatar_contradiction_clause,[],[f3315]) ).
fof(f3318,plain,
( e21 = e22
| ~ spl18_86
| ~ spl18_87 ),
inference(superposition,[],[f798,f794]) ).
fof(f3319,plain,
( e21 = e22
| ~ spl18_86
| ~ spl18_87 ),
inference(superposition,[],[f794,f798]) ).
fof(f3320,plain,
( $false
| ~ spl18_86
| ~ spl18_87 ),
inference(forward_subsumption_resolution,[],[f3319,f196]) ).
fof(f3321,plain,
( ~ spl18_86
| ~ spl18_87 ),
inference(avatar_contradiction_clause,[],[f3320]) ).
fof(f3322,plain,
( $false
| ~ spl18_86
| ~ spl18_87 ),
inference(forward_subsumption_resolution,[],[f3318,f196]) ).
fof(f3323,plain,
( ~ spl18_86
| ~ spl18_87 ),
inference(avatar_contradiction_clause,[],[f3322]) ).
fof(f3324,plain,
( e20 = e22
| ~ spl18_82
| ~ spl18_84 ),
inference(forward_demodulation,[],[f777,f785]) ).
fof(f3328,plain,
( $false
| ~ spl18_82
| ~ spl18_84 ),
inference(forward_subsumption_resolution,[],[f3324,f198]) ).
fof(f3329,plain,
( ~ spl18_82
| ~ spl18_84 ),
inference(avatar_contradiction_clause,[],[f3328]) ).
fof(f3335,plain,
( e20 = e22
| ~ spl18_74
| ~ spl18_76 ),
inference(forward_demodulation,[],[f743,f751]) ).
fof(f3337,plain,
( $false
| ~ spl18_74
| ~ spl18_76 ),
inference(forward_subsumption_resolution,[],[f3335,f198]) ).
fof(f3338,plain,
( ~ spl18_74
| ~ spl18_76 ),
inference(avatar_contradiction_clause,[],[f3337]) ).
fof(f3342,plain,
( e21 = e22
| ~ spl18_66
| ~ spl18_67 ),
inference(forward_demodulation,[],[f709,f713]) ).
fof(f3345,plain,
( $false
| ~ spl18_66
| ~ spl18_67 ),
inference(forward_subsumption_resolution,[],[f3342,f196]) ).
fof(f3346,plain,
( ~ spl18_66
| ~ spl18_67 ),
inference(avatar_contradiction_clause,[],[f3345]) ).
fof(f3361,plain,
( e21 = e22
| ~ spl18_82
| ~ spl18_83 ),
inference(superposition,[],[f781,f777]) ).
fof(f3366,plain,
( $false
| ~ spl18_82
| ~ spl18_83 ),
inference(forward_subsumption_resolution,[],[f3361,f196]) ).
fof(f3367,plain,
( ~ spl18_82
| ~ spl18_83 ),
inference(avatar_contradiction_clause,[],[f3366]) ).
fof(f3369,plain,
( e20 = e21
| ~ spl18_95
| ~ spl18_96 ),
inference(forward_demodulation,[],[f832,f836]) ).
fof(f3370,plain,
( $false
| ~ spl18_95
| ~ spl18_96 ),
inference(forward_subsumption_resolution,[],[f3369,f199]) ).
fof(f3371,plain,
( ~ spl18_95
| ~ spl18_96 ),
inference(avatar_contradiction_clause,[],[f3370]) ).
fof(f3387,plain,
( e22 = e23
| ~ spl18_101
| ~ spl18_102 ),
inference(superposition,[],[f858,f862]) ).
fof(f3388,plain,
( $false
| ~ spl18_101
| ~ spl18_102 ),
inference(forward_subsumption_resolution,[],[f3387,f194]) ).
fof(f3389,plain,
( ~ spl18_101
| ~ spl18_102 ),
inference(avatar_contradiction_clause,[],[f3388]) ).
fof(f3393,plain,
( e21 = e23
| ~ spl18_105
| ~ spl18_107 ),
inference(superposition,[],[f883,f875]) ).
fof(f3394,plain,
( e21 = e23
| ~ spl18_105
| ~ spl18_107 ),
inference(superposition,[],[f875,f883]) ).
fof(f3395,plain,
( $false
| ~ spl18_105
| ~ spl18_107 ),
inference(forward_subsumption_resolution,[],[f3394,f195]) ).
fof(f3396,plain,
( ~ spl18_105
| ~ spl18_107 ),
inference(avatar_contradiction_clause,[],[f3395]) ).
fof(f3397,plain,
( $false
| ~ spl18_105
| ~ spl18_107 ),
inference(forward_subsumption_resolution,[],[f3393,f195]) ).
fof(f3398,plain,
( ~ spl18_105
| ~ spl18_107 ),
inference(avatar_contradiction_clause,[],[f3397]) ).
fof(f3401,plain,
( e20 = e21
| ~ spl18_107
| ~ spl18_108 ),
inference(superposition,[],[f887,f883]) ).
fof(f3405,plain,
( $false
| ~ spl18_107
| ~ spl18_108 ),
inference(forward_subsumption_resolution,[],[f3401,f199]) ).
fof(f3406,plain,
( ~ spl18_107
| ~ spl18_108 ),
inference(avatar_contradiction_clause,[],[f3405]) ).
fof(f3412,plain,
( e21 = op2(e22,e22)
| ~ spl18_90
| ~ spl18_161 ),
inference(forward_demodulation,[],[f1163,f811]) ).
fof(f3424,plain,
( spl18_87
| ~ spl18_90
| ~ spl18_161 ),
inference(avatar_split_clause,[],[f3412,f1161,f809,f796]) ).
fof(f3437,plain,
( e21 = e23
| ~ spl18_85
| ~ spl18_87 ),
inference(superposition,[],[f798,f790]) ).
fof(f3441,plain,
( $false
| ~ spl18_85
| ~ spl18_87 ),
inference(forward_subsumption_resolution,[],[f3437,f195]) ).
fof(f3442,plain,
( ~ spl18_85
| ~ spl18_87 ),
inference(avatar_contradiction_clause,[],[f3441]) ).
fof(f3445,plain,
( e21 = e22
| ~ spl18_94
| ~ spl18_95 ),
inference(forward_demodulation,[],[f828,f832]) ).
fof(f3446,plain,
( e21 = op2(e21,e21)
| ~ spl18_91
| ~ spl18_161 ),
inference(forward_demodulation,[],[f1163,f815]) ).
fof(f3448,plain,
( $false
| ~ spl18_94
| ~ spl18_95 ),
inference(forward_subsumption_resolution,[],[f3445,f196]) ).
fof(f3449,plain,
( ~ spl18_94
| ~ spl18_95 ),
inference(avatar_contradiction_clause,[],[f3448]) ).
fof(f3453,plain,
( e20 = e21
| ~ spl18_111
| ~ spl18_112 ),
inference(forward_demodulation,[],[f900,f904]) ).
fof(f3459,plain,
( $false
| ~ spl18_111
| ~ spl18_112 ),
inference(forward_subsumption_resolution,[],[f3453,f199]) ).
fof(f3460,plain,
( ~ spl18_111
| ~ spl18_112 ),
inference(avatar_contradiction_clause,[],[f3459]) ).
fof(f3467,plain,
( e21 = e22
| ~ spl18_102
| ~ spl18_103 ),
inference(forward_demodulation,[],[f862,f866]) ).
fof(f3470,plain,
( e23 = op2(e22,e22)
| ~ spl18_114
| ~ spl18_151 ),
inference(forward_demodulation,[],[f1113,f913]) ).
fof(f3479,plain,
( $false
| ~ spl18_102
| ~ spl18_103 ),
inference(forward_subsumption_resolution,[],[f3467,f196]) ).
fof(f3480,plain,
( ~ spl18_102
| ~ spl18_103 ),
inference(avatar_contradiction_clause,[],[f3479]) ).
fof(f3497,plain,
( e20 = e22
| ~ spl18_102
| ~ spl18_104 ),
inference(forward_demodulation,[],[f862,f870]) ).
fof(f3501,plain,
( $false
| ~ spl18_102
| ~ spl18_104 ),
inference(forward_subsumption_resolution,[],[f3497,f198]) ).
fof(f3502,plain,
( ~ spl18_102
| ~ spl18_104 ),
inference(avatar_contradiction_clause,[],[f3501]) ).
fof(f3505,plain,
( e21 = e22
| ~ spl18_90
| ~ spl18_91 ),
inference(forward_demodulation,[],[f811,f815]) ).
fof(f3511,plain,
( e20 = op2(e23,e23)
| ~ spl18_109
| ~ spl18_166 ),
inference(forward_demodulation,[],[f1188,f892]) ).
fof(f3515,plain,
( e21 = e23
| ~ spl18_87
| ~ spl18_114
| ~ spl18_151 ),
inference(forward_demodulation,[],[f3470,f798]) ).
fof(f3517,plain,
( $false
| ~ spl18_90
| ~ spl18_91 ),
inference(forward_subsumption_resolution,[],[f3505,f196]) ).
fof(f3518,plain,
( ~ spl18_90
| ~ spl18_91 ),
inference(avatar_contradiction_clause,[],[f3517]) ).
fof(f3524,plain,
( spl18_68
| ~ spl18_109
| ~ spl18_166 ),
inference(avatar_split_clause,[],[f3511,f1186,f890,f715]) ).
fof(f3527,plain,
( $false
| ~ spl18_87
| ~ spl18_114
| ~ spl18_151 ),
inference(forward_subsumption_resolution,[],[f3515,f195]) ).
fof(f3528,plain,
( ~ spl18_87
| ~ spl18_114
| ~ spl18_151 ),
inference(avatar_contradiction_clause,[],[f3527]) ).
fof(f3530,plain,
( e20 = e22
| ~ spl18_94
| ~ spl18_96 ),
inference(forward_demodulation,[],[f828,f836]) ).
fof(f3531,plain,
( e20 = e22
| ~ spl18_98
| ~ spl18_100 ),
inference(forward_demodulation,[],[f845,f853]) ).
fof(f3541,plain,
( e20 = op2(e22,e22)
| ~ spl18_110
| ~ spl18_166 ),
inference(forward_demodulation,[],[f1188,f896]) ).
fof(f3542,plain,
( $false
| ~ spl18_94
| ~ spl18_96 ),
inference(forward_subsumption_resolution,[],[f3530,f198]) ).
fof(f3543,plain,
( ~ spl18_94
| ~ spl18_96 ),
inference(avatar_contradiction_clause,[],[f3542]) ).
fof(f3544,plain,
( $false
| ~ spl18_98
| ~ spl18_100 ),
inference(forward_subsumption_resolution,[],[f3531,f198]) ).
fof(f3545,plain,
( ~ spl18_98
| ~ spl18_100 ),
inference(avatar_contradiction_clause,[],[f3544]) ).
fof(f3554,plain,
( e20 = e21
| ~ spl18_127
| ~ spl18_128 ),
inference(forward_demodulation,[],[f968,f972]) ).
fof(f3559,plain,
( $false
| ~ spl18_127
| ~ spl18_128 ),
inference(forward_subsumption_resolution,[],[f3554,f199]) ).
fof(f3560,plain,
( ~ spl18_127
| ~ spl18_128 ),
inference(avatar_contradiction_clause,[],[f3559]) ).
fof(f3565,plain,
( e21 = e22
| ~ spl18_114
| ~ spl18_115 ),
inference(forward_demodulation,[],[f913,f917]) ).
fof(f3567,plain,
( e20 = e23
| ~ spl18_88
| ~ spl18_114
| ~ spl18_151 ),
inference(forward_demodulation,[],[f3470,f802]) ).
fof(f3569,plain,
( $false
| ~ spl18_114
| ~ spl18_115 ),
inference(forward_subsumption_resolution,[],[f3565,f196]) ).
fof(f3570,plain,
( ~ spl18_114
| ~ spl18_115 ),
inference(avatar_contradiction_clause,[],[f3569]) ).
fof(f3573,plain,
( $false
| ~ spl18_88
| ~ spl18_114
| ~ spl18_151 ),
inference(forward_subsumption_resolution,[],[f3567,f197]) ).
fof(f3574,plain,
( ~ spl18_88
| ~ spl18_114
| ~ spl18_151 ),
inference(avatar_contradiction_clause,[],[f3573]) ).
fof(f3577,plain,
( e20 = e22
| ~ spl18_114
| ~ spl18_116 ),
inference(forward_demodulation,[],[f913,f921]) ).
fof(f3580,plain,
( $false
| ~ spl18_114
| ~ spl18_116 ),
inference(forward_subsumption_resolution,[],[f3577,f198]) ).
fof(f3581,plain,
( ~ spl18_114
| ~ spl18_116 ),
inference(avatar_contradiction_clause,[],[f3580]) ).
fof(f3592,plain,
( e20 = e23
| ~ spl18_77
| ~ spl18_80 ),
inference(superposition,[],[f768,f756]) ).
fof(f3596,plain,
( $false
| ~ spl18_77
| ~ spl18_80 ),
inference(forward_subsumption_resolution,[],[f3592,f197]) ).
fof(f3597,plain,
( ~ spl18_77
| ~ spl18_80 ),
inference(avatar_contradiction_clause,[],[f3596]) ).
fof(f3600,plain,
( e22 != op2(e21,e21)
| ~ spl18_71
| spl18_156 ),
inference(forward_demodulation,[],[f1137,f730]) ).
fof(f3605,plain,
( $false
| ~ spl18_71
| ~ spl18_106
| spl18_156 ),
inference(forward_subsumption_resolution,[],[f3600,f879]) ).
fof(f3606,plain,
( ~ spl18_71
| ~ spl18_106
| spl18_156 ),
inference(avatar_contradiction_clause,[],[f3605]) ).
fof(f3612,plain,
( e20 = e22
| ~ spl18_90
| ~ spl18_92 ),
inference(forward_demodulation,[],[f811,f819]) ).
fof(f3617,plain,
( spl18_88
| ~ spl18_110
| ~ spl18_166 ),
inference(avatar_split_clause,[],[f3541,f1186,f894,f800]) ).
fof(f3619,plain,
( $false
| ~ spl18_90
| ~ spl18_92 ),
inference(forward_subsumption_resolution,[],[f3612,f198]) ).
fof(f3620,plain,
( ~ spl18_90
| ~ spl18_92 ),
inference(avatar_contradiction_clause,[],[f3619]) ).
fof(f3639,plain,
( e20 = e21
| ~ spl18_87
| ~ spl18_88 ),
inference(superposition,[],[f802,f798]) ).
fof(f3643,plain,
( $false
| ~ spl18_87
| ~ spl18_88 ),
inference(forward_subsumption_resolution,[],[f3639,f199]) ).
fof(f3644,plain,
( ~ spl18_87
| ~ spl18_88 ),
inference(avatar_contradiction_clause,[],[f3643]) ).
fof(f3667,plain,
( e20 = e23
| ~ spl18_105
| ~ spl18_108 ),
inference(superposition,[],[f887,f875]) ).
fof(f3671,plain,
( $false
| ~ spl18_105
| ~ spl18_108 ),
inference(forward_subsumption_resolution,[],[f3667,f197]) ).
fof(f3672,plain,
( ~ spl18_105
| ~ spl18_108 ),
inference(avatar_contradiction_clause,[],[f3671]) ).
fof(f3673,plain,
( e22 = e23
| ~ spl18_89
| ~ spl18_90 ),
inference(forward_demodulation,[],[f807,f811]) ).
fof(f3676,plain,
( op2(e20,e20) = e23
| ~ spl18_116
| ~ spl18_151 ),
inference(forward_demodulation,[],[f1113,f921]) ).
fof(f3678,plain,
( e23 = op2(e23,e23)
| ~ spl18_97
| ~ spl18_163 ),
inference(forward_demodulation,[],[f1173,f841]) ).
fof(f3683,plain,
( $false
| ~ spl18_89
| ~ spl18_90 ),
inference(forward_subsumption_resolution,[],[f3673,f194]) ).
fof(f3684,plain,
( ~ spl18_89
| ~ spl18_90 ),
inference(avatar_contradiction_clause,[],[f3683]) ).
fof(f3685,plain,
( e21 = e23
| ~ spl18_67
| ~ spl18_97
| ~ spl18_163 ),
inference(forward_demodulation,[],[f3678,f713]) ).
fof(f3687,plain,
( $false
| ~ spl18_67
| ~ spl18_97
| ~ spl18_163 ),
inference(forward_subsumption_resolution,[],[f3685,f195]) ).
fof(f3688,plain,
( ~ spl18_67
| ~ spl18_97
| ~ spl18_163 ),
inference(avatar_contradiction_clause,[],[f3687]) ).
fof(f3704,plain,
( e20 = e22
| ~ spl18_110
| ~ spl18_112 ),
inference(superposition,[],[f904,f896]) ).
fof(f3705,plain,
( e20 = e22
| ~ spl18_110
| ~ spl18_112 ),
inference(superposition,[],[f896,f904]) ).
fof(f3706,plain,
( $false
| ~ spl18_110
| ~ spl18_112 ),
inference(forward_subsumption_resolution,[],[f3705,f198]) ).
fof(f3707,plain,
( ~ spl18_110
| ~ spl18_112 ),
inference(avatar_contradiction_clause,[],[f3706]) ).
fof(f3708,plain,
( $false
| ~ spl18_110
| ~ spl18_112 ),
inference(forward_subsumption_resolution,[],[f3704,f198]) ).
fof(f3709,plain,
( ~ spl18_110
| ~ spl18_112 ),
inference(avatar_contradiction_clause,[],[f3708]) ).
fof(f3710,plain,
( e20 = e22
| ~ spl18_106
| ~ spl18_108 ),
inference(forward_demodulation,[],[f879,f887]) ).
fof(f3713,plain,
( e20 = op2(e20,e20)
| ~ spl18_112
| ~ spl18_166 ),
inference(forward_demodulation,[],[f1188,f904]) ).
fof(f3715,plain,
( $false
| ~ spl18_106
| ~ spl18_108 ),
inference(forward_subsumption_resolution,[],[f3710,f198]) ).
fof(f3716,plain,
( ~ spl18_106
| ~ spl18_108 ),
inference(avatar_contradiction_clause,[],[f3715]) ).
fof(f3717,plain,
( spl18_128
| ~ spl18_112
| ~ spl18_166 ),
inference(avatar_split_clause,[],[f3713,f1186,f902,f970]) ).
fof(f3723,plain,
( e23 = op2(e22,e22)
| ~ spl18_82
| ~ spl18_159 ),
inference(forward_demodulation,[],[f1153,f777]) ).
fof(f3727,plain,
( e20 = op2(e21,e21)
| ~ spl18_111
| ~ spl18_166 ),
inference(forward_demodulation,[],[f1188,f900]) ).
fof(f3732,plain,
( e21 = e23
| ~ spl18_82
| ~ spl18_87
| ~ spl18_159 ),
inference(forward_demodulation,[],[f3723,f798]) ).
fof(f3735,plain,
( spl18_108
| ~ spl18_111
| ~ spl18_166 ),
inference(avatar_split_clause,[],[f3727,f1186,f898,f885]) ).
fof(f3736,plain,
( $false
| ~ spl18_82
| ~ spl18_87
| ~ spl18_159 ),
inference(forward_subsumption_resolution,[],[f3732,f195]) ).
fof(f3737,plain,
( ~ spl18_82
| ~ spl18_87
| ~ spl18_159 ),
inference(avatar_contradiction_clause,[],[f3736]) ).
fof(f3742,plain,
( e21 = e22
| ~ spl18_110
| ~ spl18_111 ),
inference(forward_demodulation,[],[f896,f900]) ).
fof(f3751,plain,
( op2(e20,e20) = e23
| ~ spl18_84
| ~ spl18_159 ),
inference(forward_demodulation,[],[f1153,f785]) ).
fof(f3756,plain,
( $false
| ~ spl18_110
| ~ spl18_111 ),
inference(forward_subsumption_resolution,[],[f3742,f196]) ).
fof(f3757,plain,
( ~ spl18_110
| ~ spl18_111 ),
inference(avatar_contradiction_clause,[],[f3756]) ).
fof(f3771,plain,
( e20 = e21
| ~ spl18_103
| ~ spl18_104 ),
inference(superposition,[],[f870,f866]) ).
fof(f3777,plain,
( $false
| ~ spl18_103
| ~ spl18_104 ),
inference(forward_subsumption_resolution,[],[f3771,f199]) ).
fof(f3778,plain,
( ~ spl18_103
| ~ spl18_104 ),
inference(avatar_contradiction_clause,[],[f3777]) ).
fof(f3794,plain,
( e22 = e23
| ~ spl18_121
| ~ spl18_122 ),
inference(superposition,[],[f943,f947]) ).
fof(f3795,plain,
( $false
| ~ spl18_121
| ~ spl18_122 ),
inference(forward_subsumption_resolution,[],[f3794,f194]) ).
fof(f3796,plain,
( ~ spl18_121
| ~ spl18_122 ),
inference(avatar_contradiction_clause,[],[f3795]) ).
fof(f3800,plain,
( e21 = op2(e22,e22)
| ~ spl18_122
| ~ spl18_153 ),
inference(forward_demodulation,[],[f1123,f947]) ).
fof(f3801,plain,
( spl18_87
| ~ spl18_122
| ~ spl18_153 ),
inference(avatar_split_clause,[],[f3800,f1121,f945,f796]) ).
fof(f3804,plain,
( e21 = op2(e21,e21)
| ~ spl18_123
| ~ spl18_153 ),
inference(forward_demodulation,[],[f1123,f951]) ).
fof(f3817,plain,
( e20 = e23
| ~ spl18_125
| ~ spl18_128 ),
inference(superposition,[],[f972,f960]) ).
fof(f3821,plain,
( $false
| ~ spl18_125
| ~ spl18_128 ),
inference(forward_subsumption_resolution,[],[f3817,f197]) ).
fof(f3822,plain,
( ~ spl18_125
| ~ spl18_128 ),
inference(avatar_contradiction_clause,[],[f3821]) ).
fof(f3825,plain,
( e20 = e23
| ~ spl18_84
| ~ spl18_128
| ~ spl18_159 ),
inference(forward_demodulation,[],[f3751,f972]) ).
fof(f3829,plain,
( $false
| ~ spl18_84
| ~ spl18_128
| ~ spl18_159 ),
inference(forward_subsumption_resolution,[],[f3825,f197]) ).
fof(f3830,plain,
( ~ spl18_84
| ~ spl18_128
| ~ spl18_159 ),
inference(avatar_contradiction_clause,[],[f3829]) ).
fof(f3832,plain,
( e21 = e23
| ~ spl18_101
| ~ spl18_103 ),
inference(forward_demodulation,[],[f858,f866]) ).
fof(f3846,plain,
( $false
| ~ spl18_101
| ~ spl18_103 ),
inference(forward_subsumption_resolution,[],[f3832,f195]) ).
fof(f3847,plain,
( ~ spl18_101
| ~ spl18_103 ),
inference(avatar_contradiction_clause,[],[f3846]) ).
fof(f3857,plain,
( e20 = e21
| ~ spl18_91
| ~ spl18_92 ),
inference(forward_demodulation,[],[f815,f819]) ).
fof(f3863,plain,
( e23 = op2(e22,e22)
| ~ spl18_98
| ~ spl18_163 ),
inference(forward_demodulation,[],[f1173,f845]) ).
fof(f3866,plain,
( $false
| ~ spl18_91
| ~ spl18_92 ),
inference(forward_subsumption_resolution,[],[f3857,f199]) ).
fof(f3867,plain,
( ~ spl18_91
| ~ spl18_92 ),
inference(avatar_contradiction_clause,[],[f3866]) ).
fof(f3870,plain,
( e22 = e23
| ~ spl18_86
| ~ spl18_98
| ~ spl18_163 ),
inference(forward_demodulation,[],[f3863,f794]) ).
fof(f3871,plain,
( $false
| ~ spl18_86
| ~ spl18_98
| ~ spl18_163 ),
inference(forward_subsumption_resolution,[],[f3870,f194]) ).
fof(f3872,plain,
( ~ spl18_86
| ~ spl18_98
| ~ spl18_163 ),
inference(avatar_contradiction_clause,[],[f3871]) ).
fof(f3874,plain,
( e22 = e23
| ~ spl18_93
| ~ spl18_94 ),
inference(forward_demodulation,[],[f824,f828]) ).
fof(f3881,plain,
( op2(e20,e20) = e23
| ~ spl18_100
| ~ spl18_163 ),
inference(forward_demodulation,[],[f1173,f853]) ).
fof(f3884,plain,
( $false
| ~ spl18_93
| ~ spl18_94 ),
inference(forward_subsumption_resolution,[],[f3874,f194]) ).
fof(f3885,plain,
( ~ spl18_93
| ~ spl18_94 ),
inference(avatar_contradiction_clause,[],[f3884]) ).
fof(f3891,plain,
( e20 = e23
| ~ spl18_100
| ~ spl18_128
| ~ spl18_163 ),
inference(forward_demodulation,[],[f3881,f972]) ).
fof(f3893,plain,
( $false
| ~ spl18_100
| ~ spl18_128
| ~ spl18_163 ),
inference(forward_subsumption_resolution,[],[f3891,f197]) ).
fof(f3894,plain,
( ~ spl18_100
| ~ spl18_128
| ~ spl18_163 ),
inference(avatar_contradiction_clause,[],[f3893]) ).
fof(f3900,plain,
( e20 = e22
| ~ spl18_126
| ~ spl18_128 ),
inference(forward_demodulation,[],[f964,f972]) ).
fof(f3909,plain,
( $false
| ~ spl18_126
| ~ spl18_128 ),
inference(forward_subsumption_resolution,[],[f3900,f198]) ).
fof(f3910,plain,
( ~ spl18_126
| ~ spl18_128 ),
inference(avatar_contradiction_clause,[],[f3909]) ).
fof(f3926,plain,
( e21 = e23
| ~ spl18_93
| ~ spl18_95 ),
inference(superposition,[],[f832,f824]) ).
fof(f3931,plain,
( $false
| ~ spl18_93
| ~ spl18_95 ),
inference(forward_subsumption_resolution,[],[f3926,f195]) ).
fof(f3932,plain,
( ~ spl18_93
| ~ spl18_95 ),
inference(avatar_contradiction_clause,[],[f3931]) ).
fof(f3955,plain,
( e23 = op2(e22,e22)
| ~ spl18_98
| ~ spl18_163 ),
inference(forward_demodulation,[],[f1173,f845]) ).
fof(f3969,plain,
( e20 = e23
| ~ spl18_88
| ~ spl18_98
| ~ spl18_163 ),
inference(forward_demodulation,[],[f3955,f802]) ).
fof(f3970,plain,
( $false
| ~ spl18_88
| ~ spl18_98
| ~ spl18_163 ),
inference(forward_subsumption_resolution,[],[f3969,f197]) ).
fof(f3971,plain,
( ~ spl18_88
| ~ spl18_98
| ~ spl18_163 ),
inference(avatar_contradiction_clause,[],[f3970]) ).
fof(f3974,plain,
( e21 = e22
| ~ spl18_106
| ~ spl18_107 ),
inference(forward_demodulation,[],[f879,f883]) ).
fof(f3977,plain,
( e23 = op2(e23,e23)
| ~ spl18_113
| ~ spl18_151 ),
inference(forward_demodulation,[],[f1113,f909]) ).
fof(f3978,plain,
( e22 = op2(e21,e21)
| ~ spl18_119
| ~ spl18_152 ),
inference(forward_demodulation,[],[f1118,f934]) ).
fof(f3988,plain,
( $false
| ~ spl18_106
| ~ spl18_107 ),
inference(forward_subsumption_resolution,[],[f3974,f196]) ).
fof(f3989,plain,
( ~ spl18_106
| ~ spl18_107 ),
inference(avatar_contradiction_clause,[],[f3988]) ).
fof(f3990,plain,
( e21 = e23
| ~ spl18_67
| ~ spl18_113
| ~ spl18_151 ),
inference(forward_demodulation,[],[f3977,f713]) ).
fof(f3991,plain,
( e21 = e22
| ~ spl18_107
| ~ spl18_119
| ~ spl18_152 ),
inference(forward_demodulation,[],[f3978,f883]) ).
fof(f3998,plain,
( $false
| ~ spl18_67
| ~ spl18_113
| ~ spl18_151 ),
inference(forward_subsumption_resolution,[],[f3990,f195]) ).
fof(f3999,plain,
( ~ spl18_67
| ~ spl18_113
| ~ spl18_151 ),
inference(avatar_contradiction_clause,[],[f3998]) ).
fof(f4000,plain,
( $false
| ~ spl18_107
| ~ spl18_119
| ~ spl18_152 ),
inference(forward_subsumption_resolution,[],[f3991,f196]) ).
fof(f4001,plain,
( ~ spl18_107
| ~ spl18_119
| ~ spl18_152 ),
inference(avatar_contradiction_clause,[],[f4000]) ).
fof(f4003,plain,
( e20 = e21
| ~ spl18_75
| ~ spl18_76 ),
inference(forward_demodulation,[],[f747,f751]) ).
fof(f4011,plain,
( e21 = e22
| ~ spl18_118
| ~ spl18_119 ),
inference(forward_demodulation,[],[f930,f934]) ).
fof(f4014,plain,
( e23 = op2(e22,e22)
| ~ spl18_98
| ~ spl18_163 ),
inference(forward_demodulation,[],[f1173,f845]) ).
fof(f4027,plain,
( $false
| ~ spl18_75
| ~ spl18_76 ),
inference(forward_subsumption_resolution,[],[f4003,f199]) ).
fof(f4028,plain,
( ~ spl18_75
| ~ spl18_76 ),
inference(avatar_contradiction_clause,[],[f4027]) ).
fof(f4029,plain,
( $false
| ~ spl18_118
| ~ spl18_119 ),
inference(forward_subsumption_resolution,[],[f4011,f196]) ).
fof(f4030,plain,
( ~ spl18_118
| ~ spl18_119 ),
inference(avatar_contradiction_clause,[],[f4029]) ).
fof(f4039,plain,
( e20 = e22
| ~ spl18_118
| ~ spl18_120 ),
inference(forward_demodulation,[],[f930,f938]) ).
fof(f4043,plain,
( $false
| ~ spl18_118
| ~ spl18_120 ),
inference(forward_subsumption_resolution,[],[f4039,f198]) ).
fof(f4044,plain,
( ~ spl18_118
| ~ spl18_120 ),
inference(avatar_contradiction_clause,[],[f4043]) ).
fof(f4049,plain,
( e20 = e21
| ~ spl18_115
| ~ spl18_116 ),
inference(forward_demodulation,[],[f917,f921]) ).
fof(f4055,plain,
( e21 = e23
| ~ spl18_87
| ~ spl18_98
| ~ spl18_163 ),
inference(forward_demodulation,[],[f4014,f798]) ).
fof(f4058,plain,
( $false
| ~ spl18_115
| ~ spl18_116 ),
inference(forward_subsumption_resolution,[],[f4049,f199]) ).
fof(f4059,plain,
( ~ spl18_115
| ~ spl18_116 ),
inference(avatar_contradiction_clause,[],[f4058]) ).
fof(f4065,plain,
( $false
| ~ spl18_87
| ~ spl18_98
| ~ spl18_163 ),
inference(forward_subsumption_resolution,[],[f4055,f195]) ).
fof(f4066,plain,
( ~ spl18_87
| ~ spl18_98
| ~ spl18_163 ),
inference(avatar_contradiction_clause,[],[f4065]) ).
fof(f4075,plain,
( spl18_107
| ~ spl18_123
| ~ spl18_153 ),
inference(avatar_split_clause,[],[f3804,f1121,f949,f881]) ).
fof(f4092,plain,
( e20 = e23
| ~ spl18_69
| ~ spl18_72 ),
inference(superposition,[],[f734,f722]) ).
fof(f4096,plain,
( $false
| ~ spl18_69
| ~ spl18_72 ),
inference(forward_subsumption_resolution,[],[f4092,f197]) ).
fof(f4097,plain,
( ~ spl18_69
| ~ spl18_72 ),
inference(avatar_contradiction_clause,[],[f4096]) ).
fof(f4106,plain,
( e21 = e23
| ~ spl18_77
| ~ spl18_79 ),
inference(superposition,[],[f764,f756]) ).
fof(f4110,plain,
( $false
| ~ spl18_77
| ~ spl18_79 ),
inference(forward_subsumption_resolution,[],[f4106,f195]) ).
fof(f4111,plain,
( ~ spl18_77
| ~ spl18_79 ),
inference(avatar_contradiction_clause,[],[f4110]) ).
fof(f4117,plain,
( e21 = e23
| ~ spl18_121
| ~ spl18_123 ),
inference(forward_demodulation,[],[f943,f951]) ).
fof(f4119,plain,
( e23 = op2(e21,e21)
| ~ spl18_83
| ~ spl18_159 ),
inference(forward_demodulation,[],[f1153,f781]) ).
fof(f4127,plain,
( $false
| ~ spl18_121
| ~ spl18_123 ),
inference(forward_subsumption_resolution,[],[f4117,f195]) ).
fof(f4128,plain,
( ~ spl18_121
| ~ spl18_123 ),
inference(avatar_contradiction_clause,[],[f4127]) ).
fof(f4129,plain,
( e21 = e23
| ~ spl18_83
| ~ spl18_107
| ~ spl18_159 ),
inference(forward_demodulation,[],[f4119,f883]) ).
fof(f4134,plain,
( $false
| ~ spl18_83
| ~ spl18_107
| ~ spl18_159 ),
inference(forward_subsumption_resolution,[],[f4129,f195]) ).
fof(f4135,plain,
( ~ spl18_83
| ~ spl18_107
| ~ spl18_159 ),
inference(avatar_contradiction_clause,[],[f4134]) ).
fof(f4145,plain,
( e22 = e23
| ~ spl18_83
| ~ spl18_106
| ~ spl18_159 ),
inference(forward_demodulation,[],[f4119,f879]) ).
fof(f4154,plain,
( $false
| ~ spl18_83
| ~ spl18_106
| ~ spl18_159 ),
inference(forward_subsumption_resolution,[],[f4145,f194]) ).
fof(f4155,plain,
( ~ spl18_83
| ~ spl18_106
| ~ spl18_159 ),
inference(avatar_contradiction_clause,[],[f4154]) ).
fof(f4159,plain,
( e21 = e22
| ~ spl18_122
| ~ spl18_123 ),
inference(forward_demodulation,[],[f947,f951]) ).
fof(f4162,plain,
( $false
| ~ spl18_122
| ~ spl18_123 ),
inference(forward_subsumption_resolution,[],[f4159,f196]) ).
fof(f4163,plain,
( ~ spl18_122
| ~ spl18_123 ),
inference(avatar_contradiction_clause,[],[f4162]) ).
fof(f4165,plain,
( spl18_107
| ~ spl18_91
| ~ spl18_161 ),
inference(avatar_split_clause,[],[f3446,f1161,f813,f881]) ).
fof(f4173,plain,
( op2(e20,e20) = e23
| ~ spl18_100
| ~ spl18_163 ),
inference(forward_demodulation,[],[f1173,f853]) ).
fof(f4184,plain,
( e21 = e23
| ~ spl18_100
| ~ spl18_127
| ~ spl18_163 ),
inference(forward_demodulation,[],[f4173,f968]) ).
fof(f4191,plain,
( $false
| ~ spl18_100
| ~ spl18_127
| ~ spl18_163 ),
inference(forward_subsumption_resolution,[],[f4184,f195]) ).
fof(f4192,plain,
( ~ spl18_100
| ~ spl18_127
| ~ spl18_163 ),
inference(avatar_contradiction_clause,[],[f4191]) ).
fof(f4197,plain,
( spl18_125
| ~ spl18_116
| ~ spl18_151 ),
inference(avatar_split_clause,[],[f3676,f1111,f919,f958]) ).
fof(f4200,plain,
( op2(e20,e20) = e21
| ~ spl18_124
| ~ spl18_153 ),
inference(forward_demodulation,[],[f1123,f955]) ).
fof(f4215,plain,
( spl18_127
| ~ spl18_124
| ~ spl18_153 ),
inference(avatar_split_clause,[],[f4200,f1121,f953,f966]) ).
fof(f4223,plain,
( e20 = e23
| ~ spl18_101
| ~ spl18_104 ),
inference(forward_demodulation,[],[f858,f870]) ).
fof(f4225,plain,
( $false
| ~ spl18_101
| ~ spl18_104 ),
inference(forward_subsumption_resolution,[],[f4223,f197]) ).
fof(f4226,plain,
( ~ spl18_101
| ~ spl18_104 ),
inference(avatar_contradiction_clause,[],[f4225]) ).
fof(f4228,plain,
( e20 = e23
| ~ spl18_85
| ~ spl18_88 ),
inference(forward_demodulation,[],[f790,f802]) ).
fof(f4253,plain,
( $false
| ~ spl18_85
| ~ spl18_88 ),
inference(forward_subsumption_resolution,[],[f4228,f197]) ).
fof(f4254,plain,
( ~ spl18_85
| ~ spl18_88 ),
inference(avatar_contradiction_clause,[],[f4253]) ).
fof(f4271,plain,
( e20 = e23
| ~ spl18_121
| ~ spl18_124 ),
inference(forward_demodulation,[],[f943,f955]) ).
fof(f4288,plain,
( $false
| ~ spl18_121
| ~ spl18_124 ),
inference(forward_subsumption_resolution,[],[f4271,f197]) ).
fof(f4289,plain,
( ~ spl18_121
| ~ spl18_124 ),
inference(avatar_contradiction_clause,[],[f4288]) ).
fof(f4302,plain,
( e20 = e23
| ~ spl18_113
| ~ spl18_116 ),
inference(forward_demodulation,[],[f909,f921]) ).
fof(f4318,plain,
( $false
| ~ spl18_113
| ~ spl18_116 ),
inference(forward_subsumption_resolution,[],[f4302,f197]) ).
fof(f4319,plain,
( ~ spl18_113
| ~ spl18_116 ),
inference(avatar_contradiction_clause,[],[f4318]) ).
fof(f4332,plain,
( e22 = e23
| ~ spl18_125
| ~ spl18_126 ),
inference(forward_demodulation,[],[f960,f964]) ).
fof(f4335,plain,
( e22 = e23
| ~ spl18_113
| ~ spl18_114 ),
inference(forward_demodulation,[],[f909,f913]) ).
fof(f4342,plain,
( op2(e20,e20) = e23
| ~ spl18_84
| ~ spl18_159 ),
inference(forward_demodulation,[],[f1153,f785]) ).
fof(f4347,plain,
( $false
| ~ spl18_125
| ~ spl18_126 ),
inference(forward_subsumption_resolution,[],[f4332,f194]) ).
fof(f4348,plain,
( ~ spl18_125
| ~ spl18_126 ),
inference(avatar_contradiction_clause,[],[f4347]) ).
fof(f4350,plain,
( $false
| ~ spl18_113
| ~ spl18_114 ),
inference(forward_subsumption_resolution,[],[f4335,f194]) ).
fof(f4351,plain,
( ~ spl18_113
| ~ spl18_114 ),
inference(avatar_contradiction_clause,[],[f4350]) ).
fof(f4354,plain,
( e22 = e23
| ~ spl18_84
| ~ spl18_126
| ~ spl18_159 ),
inference(forward_demodulation,[],[f4342,f964]) ).
fof(f4355,plain,
( $false
| ~ spl18_84
| ~ spl18_126
| ~ spl18_159 ),
inference(forward_subsumption_resolution,[],[f4354,f194]) ).
fof(f4356,plain,
( ~ spl18_84
| ~ spl18_126
| ~ spl18_159 ),
inference(avatar_contradiction_clause,[],[f4355]) ).
fof(f4362,plain,
( e21 = e23
| ~ spl18_125
| ~ spl18_127 ),
inference(forward_demodulation,[],[f960,f968]) ).
fof(f4371,plain,
( $false
| ~ spl18_125
| ~ spl18_127 ),
inference(forward_subsumption_resolution,[],[f4362,f195]) ).
fof(f4372,plain,
( ~ spl18_125
| ~ spl18_127 ),
inference(avatar_contradiction_clause,[],[f4371]) ).
fof(f4396,plain,
( e20 = e21
| ~ spl18_119
| ~ spl18_120 ),
inference(superposition,[],[f938,f934]) ).
fof(f4402,plain,
( $false
| ~ spl18_119
| ~ spl18_120 ),
inference(forward_subsumption_resolution,[],[f4396,f199]) ).
fof(f4403,plain,
( ~ spl18_119
| ~ spl18_120 ),
inference(avatar_contradiction_clause,[],[f4402]) ).
fof(f4410,plain,
( e21 = h4(e11)
| ~ spl18_67 ),
inference(superposition,[],[f713,f125]) ).
fof(f4411,plain,
( spl18_177
| ~ spl18_67 ),
inference(avatar_split_clause,[],[f4410,f711,f1264]) ).
fof(f4415,plain,
( e23 != op2(e21,e23)
| ~ spl18_33
| ~ spl18_177
| spl18_282 ),
inference(superposition,[],[f2434,f1265]) ).
fof(f4416,plain,
( $false
| ~ spl18_33
| ~ spl18_97
| ~ spl18_177
| spl18_282 ),
inference(forward_subsumption_resolution,[],[f4415,f841]) ).
fof(f4417,plain,
( ~ spl18_33
| ~ spl18_97
| ~ spl18_177
| spl18_282 ),
inference(avatar_contradiction_clause,[],[f4416]) ).
fof(f4418,plain,
( op2(e22,e22) != h4(op1(e12,e12))
| ~ spl18_172
| spl18_273 ),
inference(forward_demodulation,[],[f1862,f1240]) ).
fof(f4420,plain,
( op2(e22,e22) != h4(e13)
| ~ spl18_21
| ~ spl18_172
| spl18_273 ),
inference(forward_demodulation,[],[f4418,f486]) ).
fof(f4422,plain,
( e23 != op2(e22,e22)
| ~ spl18_21
| ~ spl18_172
| spl18_273 ),
inference(forward_demodulation,[],[f4420,f127]) ).
fof(f4424,plain,
( e23 != h3(e11)
| ~ spl18_21
| ~ spl18_172
| spl18_273 ),
inference(forward_demodulation,[],[f4422,f129]) ).
fof(f4455,plain,
( e20 = op2(e23,e21)
| ~ spl18_67 ),
inference(superposition,[],[f142,f713]) ).
fof(f4456,plain,
( spl18_76
| ~ spl18_67 ),
inference(avatar_split_clause,[],[f4455,f711,f749]) ).
fof(f4468,plain,
( op2(e20,e20) = e22
| ~ spl18_120
| ~ spl18_152 ),
inference(forward_demodulation,[],[f1118,f938]) ).
fof(f4483,plain,
( e21 = e22
| ~ spl18_120
| ~ spl18_127
| ~ spl18_152 ),
inference(forward_demodulation,[],[f4468,f968]) ).
fof(f4493,plain,
( $false
| ~ spl18_120
| ~ spl18_127
| ~ spl18_152 ),
inference(forward_subsumption_resolution,[],[f4483,f196]) ).
fof(f4494,plain,
( ~ spl18_120
| ~ spl18_127
| ~ spl18_152 ),
inference(avatar_contradiction_clause,[],[f4493]) ).
fof(f4505,plain,
( e23 = h3(e11)
| ~ spl18_85 ),
inference(superposition,[],[f790,f129]) ).
fof(f4509,plain,
( $false
| ~ spl18_85
| spl18_181 ),
inference(forward_subsumption_resolution,[],[f4505,f1286]) ).
fof(f4510,plain,
( ~ spl18_85
| spl18_181 ),
inference(avatar_contradiction_clause,[],[f4509]) ).
fof(f4511,plain,
( $false
| ~ spl18_21
| ~ spl18_172
| ~ spl18_181
| spl18_273 ),
inference(forward_subsumption_resolution,[],[f4424,f1285]) ).
fof(f4512,plain,
( ~ spl18_21
| ~ spl18_172
| ~ spl18_181
| spl18_273 ),
inference(avatar_contradiction_clause,[],[f4511]) ).
fof(f4514,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e22)
| ~ spl18_172
| spl18_275 ),
inference(forward_demodulation,[],[f1870,f1240]) ).
fof(f4516,plain,
( op2(e21,e22) != h4(op1(e11,e12))
| ~ spl18_172
| ~ spl18_177
| spl18_275 ),
inference(forward_demodulation,[],[f4514,f1265]) ).
fof(f4518,plain,
( op2(e21,e22) != h4(e10)
| ~ spl18_40
| ~ spl18_172
| ~ spl18_177
| spl18_275 ),
inference(forward_demodulation,[],[f4516,f566]) ).
fof(f4519,plain,
( e20 != op2(e21,e22)
| ~ spl18_40
| ~ spl18_172
| ~ spl18_177
| spl18_275 ),
inference(forward_demodulation,[],[f4518,f1196]) ).
fof(f4520,plain,
( $false
| ~ spl18_40
| ~ spl18_104
| ~ spl18_172
| ~ spl18_177
| spl18_275 ),
inference(forward_subsumption_resolution,[],[f4519,f870]) ).
fof(f4521,plain,
( ~ spl18_40
| ~ spl18_104
| ~ spl18_172
| ~ spl18_177
| spl18_275 ),
inference(avatar_contradiction_clause,[],[f4520]) ).
fof(f4522,plain,
( h4(op1(e12,e11)) != op2(h4(e12),e21)
| ~ spl18_177
| spl18_274 ),
inference(forward_demodulation,[],[f1866,f1265]) ).
fof(f4524,plain,
( op2(e22,e21) != h4(op1(e12,e11))
| ~ spl18_172
| ~ spl18_177
| spl18_274 ),
inference(forward_demodulation,[],[f4522,f1240]) ).
fof(f4526,plain,
( op2(e22,e21) != h4(e11)
| ~ spl18_27
| ~ spl18_172
| ~ spl18_177
| spl18_274 ),
inference(forward_demodulation,[],[f4524,f511]) ).
fof(f4528,plain,
( e21 != op2(e22,e21)
| ~ spl18_27
| ~ spl18_172
| ~ spl18_177
| spl18_274 ),
inference(forward_demodulation,[],[f4526,f1265]) ).
fof(f4530,plain,
( $false
| ~ spl18_27
| ~ spl18_91
| ~ spl18_172
| ~ spl18_177
| spl18_274 ),
inference(forward_subsumption_resolution,[],[f4528,f815]) ).
fof(f4531,plain,
( ~ spl18_27
| ~ spl18_91
| ~ spl18_172
| ~ spl18_177
| spl18_274 ),
inference(avatar_contradiction_clause,[],[f4530]) ).
fof(f4533,plain,
( op2(e20,e23) != h4(e12)
| ~ spl18_50
| spl18_277 ),
inference(forward_demodulation,[],[f1878,f609]) ).
fof(f4535,plain,
( e22 != op2(e20,e23)
| ~ spl18_50
| ~ spl18_172
| spl18_277 ),
inference(forward_demodulation,[],[f4533,f1240]) ).
fof(f4537,plain,
( $false
| ~ spl18_50
| ~ spl18_114
| ~ spl18_172
| spl18_277 ),
inference(forward_subsumption_resolution,[],[f4535,f913]) ).
fof(f4538,plain,
( ~ spl18_50
| ~ spl18_114
| ~ spl18_172
| spl18_277 ),
inference(avatar_contradiction_clause,[],[f4537]) ).
fof(f4571,plain,
( e20 = h1(e11)
| ~ spl18_128 ),
inference(superposition,[],[f972,f137]) ).
fof(f4575,plain,
( $false
| ~ spl18_128
| spl18_270 ),
inference(forward_subsumption_resolution,[],[f4571,f1822]) ).
fof(f4576,plain,
( ~ spl18_128
| spl18_270 ),
inference(avatar_contradiction_clause,[],[f4575]) ).
fof(f4580,plain,
( e10 = op1(e13,e11)
| ~ spl18_3 ),
inference(superposition,[],[f145,f409]) ).
fof(f4698,plain,
( e10 != op1(e12,e12)
| ~ spl18_20 ),
inference(superposition,[],[f260,f481]) ).
fof(f4702,plain,
( e13 != op1(e12,e11)
| ~ spl18_21 ),
inference(superposition,[],[f262,f486]) ).
fof(f4708,plain,
( e13 != op1(e11,e12)
| ~ spl18_33 ),
inference(superposition,[],[f266,f537]) ).
fof(f4718,plain,
( e12 != op1(e10,e12)
| ~ spl18_50 ),
inference(superposition,[],[f272,f609]) ).
fof(f4739,plain,
( e13 != op1(e11,e12)
| ~ spl18_21 ),
inference(superposition,[],[f286,f486]) ).
fof(f4746,plain,
( e10 != op1(e12,e11)
| ~ spl18_12 ),
inference(superposition,[],[f290,f447]) ).
fof(f4748,plain,
( e10 != op1(e11,e11)
| ~ spl18_12 ),
inference(superposition,[],[f291,f447]) ).
fof(f4780,plain,
( op2(e21,e21) != h4(op1(e11,e11))
| ~ spl18_177
| spl18_276 ),
inference(forward_demodulation,[],[f1874,f1265]) ).
fof(f4782,plain,
( op2(e21,e21) != h4(e12)
| ~ spl18_42
| ~ spl18_177
| spl18_276 ),
inference(forward_demodulation,[],[f4780,f575]) ).
fof(f4784,plain,
( e22 != op2(e21,e21)
| ~ spl18_42
| ~ spl18_172
| ~ spl18_177
| spl18_276 ),
inference(forward_demodulation,[],[f4782,f1240]) ).
fof(f4785,plain,
( $false
| ~ spl18_42
| ~ spl18_106
| ~ spl18_172
| ~ spl18_177
| spl18_276 ),
inference(forward_subsumption_resolution,[],[f4784,f879]) ).
fof(f4786,plain,
( ~ spl18_42
| ~ spl18_106
| ~ spl18_172
| ~ spl18_177
| spl18_276 ),
inference(avatar_contradiction_clause,[],[f4785]) ).
fof(f4788,plain,
( op2(e20,e21) != h4(op1(e10,e11))
| ~ spl18_177
| spl18_279 ),
inference(forward_demodulation,[],[f1886,f1265]) ).
fof(f4790,plain,
( op2(e20,e21) != h4(e13)
| ~ spl18_57
| ~ spl18_177
| spl18_279 ),
inference(forward_demodulation,[],[f4788,f639]) ).
fof(f4792,plain,
( e23 != op2(e20,e21)
| ~ spl18_57
| ~ spl18_177
| spl18_279 ),
inference(forward_demodulation,[],[f4790,f127]) ).
fof(f4793,plain,
( $false
| ~ spl18_57
| ~ spl18_121
| ~ spl18_177
| spl18_279 ),
inference(forward_subsumption_resolution,[],[f4792,f943]) ).
fof(f4794,plain,
( ~ spl18_57
| ~ spl18_121
| ~ spl18_177
| spl18_279 ),
inference(avatar_contradiction_clause,[],[f4793]) ).
fof(f4795,plain,
( h1(e11) != h4(e10)
| ~ spl18_64
| spl18_278 ),
inference(forward_demodulation,[],[f1882,f668]) ).
fof(f4797,plain,
( e20 != h1(e11)
| ~ spl18_64
| spl18_278 ),
inference(forward_demodulation,[],[f4795,f1196]) ).
fof(f4799,plain,
( $false
| ~ spl18_64
| ~ spl18_270
| spl18_278 ),
inference(forward_subsumption_resolution,[],[f4797,f1821]) ).
fof(f4800,plain,
( ~ spl18_64
| ~ spl18_270
| spl18_278 ),
inference(avatar_contradiction_clause,[],[f4799]) ).
fof(f4803,plain,
( op2(e21,e20) != h4(op1(e11,e10))
| ~ spl18_177
| spl18_281 ),
inference(forward_demodulation,[],[f1894,f1265]) ).
fof(f4805,plain,
( op2(e21,e20) != h4(e11)
| ~ spl18_47
| ~ spl18_177
| spl18_281 ),
inference(forward_demodulation,[],[f4803,f596]) ).
fof(f4806,plain,
( e21 != op2(e21,e20)
| ~ spl18_47
| ~ spl18_177
| spl18_281 ),
inference(forward_demodulation,[],[f4805,f1265]) ).
fof(f4807,plain,
( $false
| ~ spl18_47
| ~ spl18_111
| ~ spl18_177
| spl18_281 ),
inference(forward_subsumption_resolution,[],[f4806,f900]) ).
fof(f4808,plain,
( ~ spl18_47
| ~ spl18_111
| ~ spl18_177
| spl18_281 ),
inference(avatar_contradiction_clause,[],[f4807]) ).
fof(f4809,plain,
( op2(e20,e22) != h4(op1(e10,e12))
| ~ spl18_172
| spl18_280 ),
inference(forward_demodulation,[],[f1890,f1240]) ).
fof(f4811,plain,
( op2(e20,e22) != h4(e11)
| ~ spl18_55
| ~ spl18_172
| spl18_280 ),
inference(forward_demodulation,[],[f4809,f630]) ).
fof(f4813,plain,
( e21 != op2(e20,e22)
| ~ spl18_55
| ~ spl18_172
| ~ spl18_177
| spl18_280 ),
inference(forward_demodulation,[],[f4811,f1265]) ).
fof(f4815,plain,
( $false
| ~ spl18_55
| ~ spl18_119
| ~ spl18_172
| ~ spl18_177
| spl18_280 ),
inference(forward_subsumption_resolution,[],[f4813,f934]) ).
fof(f4816,plain,
( ~ spl18_55
| ~ spl18_119
| ~ spl18_172
| ~ spl18_177
| spl18_280 ),
inference(avatar_contradiction_clause,[],[f4815]) ).
fof(f4818,plain,
( op2(e22,e23) != h4(op1(e12,e13))
| ~ spl18_172
| spl18_284 ),
inference(forward_demodulation,[],[f1906,f1240]) ).
fof(f4820,plain,
( op2(e22,e23) != h4(e10)
| ~ spl18_20
| ~ spl18_172
| spl18_284 ),
inference(forward_demodulation,[],[f4818,f481]) ).
fof(f4822,plain,
( e20 != op2(e22,e23)
| ~ spl18_20
| ~ spl18_172
| spl18_284 ),
inference(forward_demodulation,[],[f4820,f1196]) ).
fof(f4823,plain,
( $false
| ~ spl18_20
| ~ spl18_84
| ~ spl18_172
| spl18_284 ),
inference(forward_subsumption_resolution,[],[f4822,f785]) ).
fof(f4824,plain,
( ~ spl18_20
| ~ spl18_84
| ~ spl18_172
| spl18_284 ),
inference(avatar_contradiction_clause,[],[f4823]) ).
fof(f4825,plain,
( op2(e22,e20) != h4(op1(e12,e10))
| ~ spl18_172
| spl18_283 ),
inference(forward_demodulation,[],[f1902,f1240]) ).
fof(f4827,plain,
( op2(e22,e20) != h4(e12)
| ~ spl18_30
| ~ spl18_172
| spl18_283 ),
inference(forward_demodulation,[],[f4825,f524]) ).
fof(f4829,plain,
( e22 != op2(e22,e20)
| ~ spl18_30
| ~ spl18_172
| spl18_283 ),
inference(forward_demodulation,[],[f4827,f1240]) ).
fof(f4831,plain,
( $false
| ~ spl18_30
| ~ spl18_94
| ~ spl18_172
| spl18_283 ),
inference(forward_subsumption_resolution,[],[f4829,f828]) ).
fof(f4832,plain,
( ~ spl18_30
| ~ spl18_94
| ~ spl18_172
| spl18_283 ),
inference(avatar_contradiction_clause,[],[f4831]) ).
fof(f4834,plain,
( op2(e23,e21) != h4(op1(e13,e11))
| ~ spl18_177
| spl18_286 ),
inference(forward_demodulation,[],[f1914,f1265]) ).
fof(f4836,plain,
( op2(e23,e21) != h4(e10)
| ~ spl18_12
| ~ spl18_177
| spl18_286 ),
inference(forward_demodulation,[],[f4834,f447]) ).
fof(f4838,plain,
( e20 != op2(e23,e21)
| ~ spl18_12
| ~ spl18_177
| spl18_286 ),
inference(forward_demodulation,[],[f4836,f1196]) ).
fof(f4839,plain,
( $false
| ~ spl18_12
| ~ spl18_76
| ~ spl18_177
| spl18_286 ),
inference(forward_subsumption_resolution,[],[f4838,f751]) ).
fof(f4840,plain,
( ~ spl18_12
| ~ spl18_76
| ~ spl18_177
| spl18_286 ),
inference(avatar_contradiction_clause,[],[f4839]) ).
fof(f4841,plain,
( op2(e23,e20) != h4(e13)
| ~ spl18_13
| spl18_285 ),
inference(forward_demodulation,[],[f1910,f452]) ).
fof(f4843,plain,
( e23 != op2(e23,e20)
| ~ spl18_13
| spl18_285 ),
inference(forward_demodulation,[],[f4841,f127]) ).
fof(f4845,plain,
( $false
| ~ spl18_13
| ~ spl18_77
| spl18_285 ),
inference(forward_subsumption_resolution,[],[f4843,f756]) ).
fof(f4846,plain,
( ~ spl18_13
| ~ spl18_77
| spl18_285 ),
inference(avatar_contradiction_clause,[],[f4845]) ).
fof(f4849,plain,
( h4(e11) != h4(e11)
| ~ spl18_3
| spl18_288 ),
inference(forward_demodulation,[],[f1922,f409]) ).
fof(f4850,plain,
( $false
| ~ spl18_3
| spl18_288 ),
inference(trivial_inequality_removal,[],[f4849]) ).
fof(f4851,plain,
( ~ spl18_3
| spl18_288 ),
inference(avatar_contradiction_clause,[],[f4850]) ).
fof(f4853,plain,
( op2(e23,e22) != h4(op1(e13,e12))
| ~ spl18_172
| spl18_287 ),
inference(forward_demodulation,[],[f1918,f1240]) ).
fof(f4854,plain,
( op2(e23,e22) != h4(e12)
| ~ spl18_6
| ~ spl18_172
| spl18_287 ),
inference(forward_demodulation,[],[f4853,f422]) ).
fof(f4855,plain,
( e22 != op2(e23,e22)
| ~ spl18_6
| ~ spl18_172
| spl18_287 ),
inference(forward_demodulation,[],[f4854,f1240]) ).
fof(f4856,plain,
( $false
| ~ spl18_6
| ~ spl18_70
| ~ spl18_172
| spl18_287 ),
inference(forward_subsumption_resolution,[],[f4855,f726]) ).
fof(f4857,plain,
( ~ spl18_6
| ~ spl18_70
| ~ spl18_172
| spl18_287 ),
inference(avatar_contradiction_clause,[],[f4856]) ).
fof(f4909,plain,
( $false
| spl18_21
| ~ spl18_50
| ~ spl18_132 ),
inference(forward_subsumption_resolution,[],[f3073,f485]) ).
fof(f4910,plain,
( spl18_21
| ~ spl18_50
| ~ spl18_132 ),
inference(avatar_contradiction_clause,[],[f4909]) ).
fof(f4931,plain,
( ~ spl18_24
| ~ spl18_20 ),
inference(avatar_split_clause,[],[f4698,f479,f496]) ).
fof(f4935,plain,
( ~ spl18_25
| ~ spl18_21 ),
inference(avatar_split_clause,[],[f4702,f484,f501]) ).
fof(f4937,plain,
( ~ spl18_37
| ~ spl18_21 ),
inference(avatar_split_clause,[],[f4739,f484,f552]) ).
fof(f4944,plain,
( ~ spl18_37
| ~ spl18_33 ),
inference(avatar_split_clause,[],[f4708,f535,f552]) ).
fof(f5024,plain,
( e12 != op1(e11,e11)
| ~ spl18_26 ),
inference(superposition,[],[f292,f507]) ).
fof(f5028,plain,
( $false
| ~ spl18_26
| ~ spl18_42 ),
inference(forward_subsumption_resolution,[],[f5024,f575]) ).
fof(f5029,plain,
( ~ spl18_26
| ~ spl18_42 ),
inference(avatar_contradiction_clause,[],[f5028]) ).
fof(f5044,plain,
( e11 = e12
| ~ spl18_54
| ~ spl18_55 ),
inference(forward_demodulation,[],[f626,f630]) ).
fof(f5048,plain,
( e12 = op1(e13,e13)
| ~ spl18_21
| ~ spl18_141 ),
inference(forward_demodulation,[],[f1066,f486]) ).
fof(f5062,plain,
( e11 != op1(e11,e11)
| ~ spl18_43
| spl18_146 ),
inference(forward_demodulation,[],[f1090,f579]) ).
fof(f5077,plain,
( spl18_12
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f4580,f407,f445]) ).
fof(f5082,plain,
( $false
| ~ spl18_54
| ~ spl18_55 ),
inference(forward_subsumption_resolution,[],[f5044,f202]) ).
fof(f5083,plain,
( ~ spl18_54
| ~ spl18_55 ),
inference(avatar_contradiction_clause,[],[f5082]) ).
fof(f5084,plain,
( e11 = e12
| ~ spl18_3
| ~ spl18_21
| ~ spl18_141 ),
inference(forward_demodulation,[],[f5048,f409]) ).
fof(f5090,plain,
( $false
| ~ spl18_43
| spl18_146 ),
inference(forward_subsumption_resolution,[],[f5062,f579]) ).
fof(f5091,plain,
( ~ spl18_43
| spl18_146 ),
inference(avatar_contradiction_clause,[],[f5090]) ).
fof(f5101,plain,
( $false
| ~ spl18_3
| ~ spl18_21
| ~ spl18_141 ),
inference(forward_subsumption_resolution,[],[f5084,f202]) ).
fof(f5102,plain,
( ~ spl18_3
| ~ spl18_21
| ~ spl18_141 ),
inference(avatar_contradiction_clause,[],[f5101]) ).
fof(f5117,plain,
( ~ spl18_28
| ~ spl18_12 ),
inference(avatar_split_clause,[],[f4746,f445,f513]) ).
fof(f5118,plain,
( $false
| ~ spl18_12
| ~ spl18_44 ),
inference(forward_subsumption_resolution,[],[f4748,f583]) ).
fof(f5119,plain,
( ~ spl18_12
| ~ spl18_44 ),
inference(avatar_contradiction_clause,[],[f5118]) ).
fof(f5138,plain,
( ~ spl18_54
| ~ spl18_50 ),
inference(avatar_split_clause,[],[f4718,f607,f624]) ).
cnf(s5,plain,
( spl18_17
| spl18_18
| spl18_19
| spl18_20 ),
inference(sat_conversion,[],[f482]) ).
cnf(s6,plain,
( spl18_21
| spl18_22
| spl18_23
| spl18_24 ),
inference(sat_conversion,[],[f499]) ).
cnf(s7,plain,
( spl18_25
| spl18_26
| spl18_27
| spl18_28 ),
inference(sat_conversion,[],[f516]) ).
cnf(s8,plain,
( spl18_29
| spl18_30
| spl18_31
| spl18_32 ),
inference(sat_conversion,[],[f533]) ).
cnf(s10,plain,
( spl18_37
| spl18_38
| spl18_39
| spl18_40 ),
inference(sat_conversion,[],[f567]) ).
cnf(s12,plain,
( spl18_45
| spl18_46
| spl18_47
| spl18_48 ),
inference(sat_conversion,[],[f601]) ).
cnf(s14,plain,
( spl18_53
| spl18_54
| spl18_55
| spl18_56 ),
inference(sat_conversion,[],[f635]) ).
cnf(s16,plain,
( spl18_61
| spl18_62
| spl18_63
| spl18_64 ),
inference(sat_conversion,[],[f669]) ).
cnf(s17,plain,
( spl18_1
| spl18_17
| spl18_33
| spl18_49 ),
inference(sat_conversion,[],[f670]) ).
cnf(s18,plain,
( spl18_1
| spl18_5
| spl18_9
| spl18_13 ),
inference(sat_conversion,[],[f671]) ).
cnf(s19,plain,
( spl18_2
| spl18_18
| spl18_34
| spl18_50 ),
inference(sat_conversion,[],[f672]) ).
cnf(s20,plain,
( spl18_2
| spl18_6
| spl18_10
| spl18_14 ),
inference(sat_conversion,[],[f673]) ).
cnf(s23,plain,
( spl18_4
| spl18_20
| spl18_36
| spl18_52 ),
inference(sat_conversion,[],[f676]) ).
cnf(s25,plain,
( spl18_5
| spl18_21
| spl18_37
| spl18_53 ),
inference(sat_conversion,[],[f678]) ).
cnf(s26,plain,
( spl18_17
| spl18_21
| spl18_25
| spl18_29 ),
inference(sat_conversion,[],[f679]) ).
cnf(s27,plain,
( spl18_6
| spl18_22
| spl18_38
| spl18_54 ),
inference(sat_conversion,[],[f680]) ).
cnf(s28,plain,
( spl18_18
| spl18_22
| spl18_26
| spl18_30 ),
inference(sat_conversion,[],[f681]) ).
cnf(s29,plain,
( spl18_7
| spl18_23
| spl18_39
| spl18_55 ),
inference(sat_conversion,[],[f682]) ).
cnf(s30,plain,
( spl18_19
| spl18_23
| spl18_27
| spl18_31 ),
inference(sat_conversion,[],[f683]) ).
cnf(s31,plain,
( spl18_8
| spl18_24
| spl18_40
| spl18_56 ),
inference(sat_conversion,[],[f684]) ).
cnf(s32,plain,
( spl18_20
| spl18_24
| spl18_28
| spl18_32 ),
inference(sat_conversion,[],[f685]) ).
cnf(s33,plain,
( spl18_9
| spl18_25
| spl18_41
| spl18_57 ),
inference(sat_conversion,[],[f686]) ).
cnf(s35,plain,
( spl18_10
| spl18_26
| spl18_42
| spl18_58 ),
inference(sat_conversion,[],[f688]) ).
cnf(s36,plain,
( spl18_34
| spl18_38
| spl18_42
| spl18_46 ),
inference(sat_conversion,[],[f689]) ).
cnf(s38,plain,
( spl18_35
| spl18_39
| spl18_43
| spl18_47 ),
inference(sat_conversion,[],[f691]) ).
cnf(s40,plain,
( spl18_36
| spl18_40
| spl18_44
| spl18_48 ),
inference(sat_conversion,[],[f693]) ).
cnf(s41,plain,
( spl18_13
| spl18_29
| spl18_45
| spl18_61 ),
inference(sat_conversion,[],[f694]) ).
cnf(s42,plain,
( spl18_49
| spl18_53
| spl18_57
| spl18_61 ),
inference(sat_conversion,[],[f695]) ).
cnf(s44,plain,
( spl18_50
| spl18_54
| spl18_58
| spl18_62 ),
inference(sat_conversion,[],[f697]) ).
cnf(s45,plain,
( spl18_15
| spl18_31
| spl18_47
| spl18_63 ),
inference(sat_conversion,[],[f698]) ).
cnf(s47,plain,
( spl18_16
| spl18_32
| spl18_48
| spl18_64 ),
inference(sat_conversion,[],[f700]) ).
cnf(s53,plain,
( spl18_81
| spl18_82
| spl18_83
| spl18_84 ),
inference(sat_conversion,[],[f786]) ).
cnf(s54,plain,
( spl18_85
| spl18_86
| spl18_87
| spl18_88 ),
inference(sat_conversion,[],[f803]) ).
cnf(s60,plain,
( spl18_109
| spl18_110
| spl18_111
| spl18_112 ),
inference(sat_conversion,[],[f905]) ).
cnf(s65,plain,
( spl18_65
| spl18_81
| spl18_97
| spl18_113 ),
inference(sat_conversion,[],[f974]) ).
cnf(s66,plain,
( spl18_65
| spl18_69
| spl18_73
| spl18_77 ),
inference(sat_conversion,[],[f975]) ).
cnf(s67,plain,
( spl18_66
| spl18_82
| spl18_98
| spl18_114 ),
inference(sat_conversion,[],[f976]) ).
cnf(s68,plain,
( spl18_66
| spl18_70
| spl18_74
| spl18_78 ),
inference(sat_conversion,[],[f977]) ).
cnf(s71,plain,
( spl18_68
| spl18_84
| spl18_100
| spl18_116 ),
inference(sat_conversion,[],[f980]) ).
cnf(s73,plain,
( spl18_69
| spl18_85
| spl18_101
| spl18_117 ),
inference(sat_conversion,[],[f982]) ).
cnf(s74,plain,
( spl18_81
| spl18_85
| spl18_89
| spl18_93 ),
inference(sat_conversion,[],[f983]) ).
cnf(s75,plain,
( spl18_70
| spl18_86
| spl18_102
| spl18_118 ),
inference(sat_conversion,[],[f984]) ).
cnf(s76,plain,
( spl18_82
| spl18_86
| spl18_90
| spl18_94 ),
inference(sat_conversion,[],[f985]) ).
cnf(s77,plain,
( spl18_71
| spl18_87
| spl18_103
| spl18_119 ),
inference(sat_conversion,[],[f986]) ).
cnf(s78,plain,
( spl18_83
| spl18_87
| spl18_91
| spl18_95 ),
inference(sat_conversion,[],[f987]) ).
cnf(s79,plain,
( spl18_72
| spl18_88
| spl18_104
| spl18_120 ),
inference(sat_conversion,[],[f988]) ).
cnf(s80,plain,
( spl18_84
| spl18_88
| spl18_92
| spl18_96 ),
inference(sat_conversion,[],[f989]) ).
cnf(s81,plain,
( spl18_73
| spl18_89
| spl18_105
| spl18_121 ),
inference(sat_conversion,[],[f990]) ).
cnf(s82,plain,
( spl18_97
| spl18_101
| spl18_105
| spl18_109 ),
inference(sat_conversion,[],[f991]) ).
cnf(s83,plain,
( spl18_74
| spl18_90
| spl18_106
| spl18_122 ),
inference(sat_conversion,[],[f992]) ).
cnf(s84,plain,
( spl18_98
| spl18_102
| spl18_106
| spl18_110 ),
inference(sat_conversion,[],[f993]) ).
cnf(s85,plain,
( spl18_75
| spl18_91
| spl18_107
| spl18_123 ),
inference(sat_conversion,[],[f994]) ).
cnf(s86,plain,
( spl18_99
| spl18_103
| spl18_107
| spl18_111 ),
inference(sat_conversion,[],[f995]) ).
cnf(s88,plain,
( spl18_100
| spl18_104
| spl18_108
| spl18_112 ),
inference(sat_conversion,[],[f997]) ).
cnf(s89,plain,
( spl18_77
| spl18_93
| spl18_109
| spl18_125 ),
inference(sat_conversion,[],[f998]) ).
cnf(s90,plain,
( spl18_113
| spl18_117
| spl18_121
| spl18_125 ),
inference(sat_conversion,[],[f999]) ).
cnf(s91,plain,
( spl18_78
| spl18_94
| spl18_110
| spl18_126 ),
inference(sat_conversion,[],[f1000]) ).
cnf(s92,plain,
( spl18_114
| spl18_118
| spl18_122
| spl18_126 ),
inference(sat_conversion,[],[f1001]) ).
cnf(s93,plain,
( spl18_79
| spl18_95
| spl18_111
| spl18_127 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s94,plain,
( spl18_115
| spl18_119
| spl18_123
| spl18_127 ),
inference(sat_conversion,[],[f1003]) ).
cnf(s95,plain,
( spl18_80
| spl18_96
| spl18_112
| spl18_128 ),
inference(sat_conversion,[],[f1004]) ).
cnf(s96,plain,
( spl18_116
| spl18_120
| spl18_124
| spl18_128 ),
inference(sat_conversion,[],[f1005]) ).
cnf(s97,plain,
( spl18_129
| spl18_130
| spl18_131
| spl18_132 ),
inference(sat_conversion,[],[f1022]) ).
cnf(s98,plain,
( spl18_129
| spl18_130
| spl18_131
| spl18_133 ),
inference(sat_conversion,[],[f1027]) ).
cnf(s100,plain,
( spl18_129
| spl18_130
| spl18_131
| spl18_135 ),
inference(sat_conversion,[],[f1037]) ).
cnf(s101,plain,
( ~ spl18_129
| spl18_136 ),
inference(sat_conversion,[],[f1042]) ).
cnf(s103,plain,
( ~ spl18_129
| spl18_138 ),
inference(sat_conversion,[],[f1052]) ).
cnf(s104,plain,
( ~ spl18_129
| spl18_139 ),
inference(sat_conversion,[],[f1057]) ).
cnf(s105,plain,
( ~ spl18_130
| spl18_140 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s106,plain,
( ~ spl18_130
| spl18_141 ),
inference(sat_conversion,[],[f1067]) ).
cnf(s108,plain,
( ~ spl18_130
| spl18_143 ),
inference(sat_conversion,[],[f1077]) ).
cnf(s109,plain,
( ~ spl18_131
| spl18_144 ),
inference(sat_conversion,[],[f1082]) ).
cnf(s110,plain,
( ~ spl18_131
| spl18_145 ),
inference(sat_conversion,[],[f1087]) ).
cnf(s111,plain,
( ~ spl18_131
| spl18_146 ),
inference(sat_conversion,[],[f1092]) ).
cnf(s112,plain,
( ~ spl18_131
| spl18_147 ),
inference(sat_conversion,[],[f1097]) ).
cnf(s113,plain,
( spl18_148
| spl18_149
| spl18_150
| spl18_151 ),
inference(sat_conversion,[],[f1114]) ).
cnf(s114,plain,
( spl18_148
| spl18_149
| spl18_150
| spl18_152 ),
inference(sat_conversion,[],[f1119]) ).
cnf(s115,plain,
( spl18_148
| spl18_149
| spl18_150
| spl18_153 ),
inference(sat_conversion,[],[f1124]) ).
cnf(s118,plain,
( ~ spl18_148
| spl18_156 ),
inference(sat_conversion,[],[f1139]) ).
cnf(s120,plain,
( ~ spl18_148
| spl18_158 ),
inference(sat_conversion,[],[f1149]) ).
cnf(s121,plain,
( ~ spl18_149
| spl18_159 ),
inference(sat_conversion,[],[f1154]) ).
cnf(s123,plain,
( ~ spl18_149
| spl18_161 ),
inference(sat_conversion,[],[f1164]) ).
cnf(s124,plain,
( ~ spl18_149
| spl18_162 ),
inference(sat_conversion,[],[f1169]) ).
cnf(s125,plain,
( ~ spl18_150
| spl18_163 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s128,plain,
( ~ spl18_150
| spl18_166 ),
inference(sat_conversion,[],[f1189]) ).
cnf(s129,plain,
spl18_3,
inference(sat_conversion,[],[f1190]) ).
cnf(s130,plain,
spl18_67,
inference(sat_conversion,[],[f1191]) ).
cnf(s134,plain,
( ~ spl18_171
| ~ spl18_172 ),
inference(sat_conversion,[],[f1242]) ).
cnf(s138,plain,
( ~ spl18_175
| ~ spl18_177 ),
inference(sat_conversion,[],[f1267]) ).
cnf(s167,plain,
spl18_172,
inference(sat_conversion,[],[f1453]) ).
cnf(s168,plain,
~ spl18_167,
inference(sat_conversion,[],[f1470]) ).
cnf(s183,plain,
( spl18_167
| spl18_171
| spl18_175
| ~ spl18_273
| ~ spl18_274
| ~ spl18_275
| ~ spl18_276
| ~ spl18_277
| ~ spl18_278
| ~ spl18_279
| ~ spl18_280
| ~ spl18_281
| ~ spl18_282
| ~ spl18_283
| ~ spl18_284
| ~ spl18_285
| ~ spl18_286
| ~ spl18_287
| ~ spl18_288 ),
inference(sat_conversion,[],[f1930]) ).
cnf(s184,plain,
( spl18_4
| ~ spl18_61
| ~ spl18_135 ),
inference(sat_conversion,[],[f1944]) ).
cnf(s185,plain,
( ~ spl18_3
| ~ spl18_53
| ~ spl18_133 ),
inference(sat_conversion,[],[f1951]) ).
cnf(s186,plain,
( ~ spl18_67
| ~ spl18_117
| ~ spl18_152 ),
inference(sat_conversion,[],[f1953]) ).
cnf(s187,plain,
( spl18_86
| ~ spl18_118
| ~ spl18_152 ),
inference(sat_conversion,[],[f1956]) ).
cnf(s188,plain,
( spl18_22
| ~ spl18_54
| ~ spl18_133 ),
inference(sat_conversion,[],[f1957]) ).
cnf(s190,plain,
( ~ spl18_3
| ~ spl18_4 ),
inference(sat_conversion,[],[f1963]) ).
cnf(s191,plain,
( spl18_24
| ~ spl18_62
| ~ spl18_135 ),
inference(sat_conversion,[],[f1966]) ).
cnf(s193,plain,
( ~ spl18_5
| ~ spl18_6 ),
inference(sat_conversion,[],[f1972]) ).
cnf(s196,plain,
( ~ spl18_9
| ~ spl18_12 ),
inference(sat_conversion,[],[f1985]) ).
cnf(s198,plain,
( ~ spl18_6
| ~ spl18_7 ),
inference(sat_conversion,[],[f1991]) ).
cnf(s199,plain,
( ~ spl18_23
| ~ spl18_24 ),
inference(sat_conversion,[],[f1995]) ).
cnf(s201,plain,
( ~ spl18_6
| ~ spl18_8 ),
inference(sat_conversion,[],[f2002]) ).
cnf(s203,plain,
( ~ spl18_14
| ~ spl18_15 ),
inference(sat_conversion,[],[f2012]) ).
cnf(s205,plain,
( ~ spl18_14
| ~ spl18_16 ),
inference(sat_conversion,[],[f2019]) ).
cnf(s207,plain,
( ~ spl18_17
| ~ spl18_18 ),
inference(sat_conversion,[],[f2029]) ).
cnf(s208,plain,
( ~ spl18_33
| ~ spl18_34 ),
inference(sat_conversion,[],[f2033]) ).
cnf(s209,plain,
( ~ spl18_38
| ~ spl18_39 ),
inference(sat_conversion,[],[f2039]) ).
cnf(s210,plain,
( ~ spl18_33
| ~ spl18_35 ),
inference(sat_conversion,[],[f2041]) ).
cnf(s211,plain,
( ~ spl18_33
| ~ spl18_36 ),
inference(sat_conversion,[],[f2049]) ).
cnf(s212,plain,
( ~ spl18_49
| ~ spl18_50 ),
inference(sat_conversion,[],[f2053]) ).
cnf(s214,plain,
( ~ spl18_52
| spl18_61
| ~ spl18_132 ),
inference(sat_conversion,[],[f2064]) ).
cnf(s215,plain,
( ~ spl18_49
| ~ spl18_52 ),
inference(sat_conversion,[],[f2066]) ).
cnf(s218,plain,
( ~ spl18_34
| ~ spl18_36 ),
inference(sat_conversion,[],[f2078]) ).
cnf(s219,plain,
( ~ spl18_1
| ~ spl18_3 ),
inference(sat_conversion,[],[f2082]) ).
cnf(s220,plain,
( ~ spl18_17
| ~ spl18_19 ),
inference(sat_conversion,[],[f2086]) ).
cnf(s221,plain,
( ~ spl18_17
| ~ spl18_20 ),
inference(sat_conversion,[],[f2091]) ).
cnf(s223,plain,
( ~ spl18_21
| ~ spl18_22 ),
inference(sat_conversion,[],[f2100]) ).
cnf(s226,plain,
( ~ spl18_22
| ~ spl18_24 ),
inference(sat_conversion,[],[f2117]) ).
cnf(s227,plain,
( ~ spl18_35
| ~ spl18_36 ),
inference(sat_conversion,[],[f2128]) ).
cnf(s229,plain,
( ~ spl18_18
| ~ spl18_20 ),
inference(sat_conversion,[],[f2136]) ).
cnf(s233,plain,
( ~ spl18_26
| ~ spl18_27 ),
inference(sat_conversion,[],[f2155]) ).
cnf(s237,plain,
( ~ spl18_29
| ~ spl18_31 ),
inference(sat_conversion,[],[f2172]) ).
cnf(s238,plain,
( ~ spl18_29
| ~ spl18_31 ),
inference(sat_conversion,[],[f2174]) ).
cnf(s239,plain,
( ~ spl18_21
| ~ spl18_24 ),
inference(sat_conversion,[],[f2178]) ).
cnf(s240,plain,
( ~ spl18_29
| ~ spl18_32 ),
inference(sat_conversion,[],[f2186]) ).
cnf(s241,plain,
( ~ spl18_25
| ~ spl18_27 ),
inference(sat_conversion,[],[f2190]) ).
cnf(s242,plain,
( ~ spl18_31
| ~ spl18_32 ),
inference(sat_conversion,[],[f2193]) ).
cnf(s245,plain,
( ~ spl18_53
| ~ spl18_55 ),
inference(sat_conversion,[],[f2219]) ).
cnf(s247,plain,
( spl18_4
| ~ spl18_29
| ~ spl18_143 ),
inference(sat_conversion,[],[f2223]) ).
cnf(s251,plain,
( spl18_4
| ~ spl18_45
| ~ spl18_147 ),
inference(sat_conversion,[],[f2244]) ).
cnf(s252,plain,
( ~ spl18_53
| ~ spl18_56 ),
inference(sat_conversion,[],[f2246]) ).
cnf(s254,plain,
( ~ spl18_24
| ~ spl18_38
| ~ spl18_145 ),
inference(sat_conversion,[],[f2250]) ).
cnf(s255,plain,
( ~ spl18_61
| ~ spl18_62 ),
inference(sat_conversion,[],[f2263]) ).
cnf(s257,plain,
( spl18_4
| ~ spl18_13
| ~ spl18_139 ),
inference(sat_conversion,[],[f2267]) ).
cnf(s262,plain,
( ~ spl18_23
| ~ spl18_34
| ~ spl18_144 ),
inference(sat_conversion,[],[f2300]) ).
cnf(s264,plain,
( ~ spl18_3
| ~ spl18_17
| ~ spl18_140 ),
inference(sat_conversion,[],[f2325]) ).
cnf(s267,plain,
( ~ spl18_5
| ~ spl18_7 ),
inference(sat_conversion,[],[f2358]) ).
cnf(s268,plain,
( ~ spl18_61
| ~ spl18_63 ),
inference(sat_conversion,[],[f2360]) ).
cnf(s271,plain,
( ~ spl18_24
| ~ spl18_63
| ~ spl18_141 ),
inference(sat_conversion,[],[f2366]) ).
cnf(s274,plain,
( ~ spl18_61
| ~ spl18_64 ),
inference(sat_conversion,[],[f2383]) ).
cnf(s275,plain,
( ~ spl18_64
| spl18_135 ),
inference(sat_conversion,[],[f2385]) ).
cnf(s279,plain,
( ~ spl18_24
| spl18_62
| ~ spl18_141 ),
inference(sat_conversion,[],[f2397]) ).
cnf(s282,plain,
( ~ spl18_47
| ~ spl18_48 ),
inference(sat_conversion,[],[f2401]) ).
cnf(s284,plain,
( ~ spl18_19
| ~ spl18_20 ),
inference(sat_conversion,[],[f2421]) ).
cnf(s286,plain,
( ~ spl18_38
| ~ spl18_40 ),
inference(sat_conversion,[],[f2440]) ).
cnf(s289,plain,
( ~ spl18_3
| ~ spl18_43
| ~ spl18_136 ),
inference(sat_conversion,[],[f2457]) ).
cnf(s295,plain,
( ~ spl18_18
| spl18_21
| ~ spl18_140 ),
inference(sat_conversion,[],[f2479]) ).
cnf(s296,plain,
( ~ spl18_23
| spl18_42
| ~ spl18_141 ),
inference(sat_conversion,[],[f2481]) ).
cnf(s297,plain,
( spl18_24
| ~ spl18_30
| ~ spl18_143 ),
inference(sat_conversion,[],[f2497]) ).
cnf(s298,plain,
( spl18_44
| ~ spl18_63
| ~ spl18_135 ),
inference(sat_conversion,[],[f2505]) ).
cnf(s301,plain,
( ~ spl18_13
| ~ spl18_14 ),
inference(sat_conversion,[],[f2533]) ).
cnf(s302,plain,
( ~ spl18_3
| ~ spl18_33
| ~ spl18_144 ),
inference(sat_conversion,[],[f2539]) ).
cnf(s303,plain,
( ~ spl18_45
| ~ spl18_48 ),
inference(sat_conversion,[],[f2563]) ).
cnf(s305,plain,
( ~ spl18_12
| spl18_63
| ~ spl18_138 ),
inference(sat_conversion,[],[f2568]) ).
cnf(s306,plain,
( ~ spl18_14
| spl18_24
| ~ spl18_139 ),
inference(sat_conversion,[],[f2569]) ).
cnf(s308,plain,
( spl18_23
| ~ spl18_42
| ~ spl18_146 ),
inference(sat_conversion,[],[f2573]) ).
cnf(s309,plain,
( ~ spl18_3
| ~ spl18_42
| ~ spl18_136 ),
inference(sat_conversion,[],[f2575]) ).
cnf(s312,plain,
( spl18_42
| ~ spl18_55
| ~ spl18_133 ),
inference(sat_conversion,[],[f2588]) ).
cnf(s314,plain,
( ~ spl18_39
| spl18_42
| ~ spl18_145 ),
inference(sat_conversion,[],[f2592]) ).
cnf(s315,plain,
( ~ spl18_46
| ~ spl18_48 ),
inference(sat_conversion,[],[f2598]) ).
cnf(s319,plain,
( ~ spl18_2
| ~ spl18_3 ),
inference(sat_conversion,[],[f2618]) ).
cnf(s320,plain,
( ~ spl18_56
| spl18_62
| ~ spl18_133 ),
inference(sat_conversion,[],[f2621]) ).
cnf(s331,plain,
( ~ spl18_39
| ~ spl18_40 ),
inference(sat_conversion,[],[f2701]) ).
cnf(s333,plain,
( ~ spl18_45
| ~ spl18_46 ),
inference(sat_conversion,[],[f2710]) ).
cnf(s335,plain,
( ~ spl18_46
| ~ spl18_47 ),
inference(sat_conversion,[],[f2720]) ).
cnf(s337,plain,
( ~ spl18_5
| ~ spl18_8 ),
inference(sat_conversion,[],[f2750]) ).
cnf(s339,plain,
( ~ spl18_29
| ~ spl18_30 ),
inference(sat_conversion,[],[f2759]) ).
cnf(s341,plain,
( ~ spl18_22
| ~ spl18_23 ),
inference(sat_conversion,[],[f2784]) ).
cnf(s344,plain,
( ~ spl18_3
| ~ spl18_41
| spl18_136 ),
inference(sat_conversion,[],[f2792]) ).
cnf(s345,plain,
( ~ spl18_3
| ~ spl18_49
| ~ spl18_132 ),
inference(sat_conversion,[],[f2796]) ).
cnf(s346,plain,
( ~ spl18_23
| ~ spl18_54
| ~ spl18_133 ),
inference(sat_conversion,[],[f2798]) ).
cnf(s347,plain,
( ~ spl18_23
| ~ spl18_42
| spl18_141 ),
inference(sat_conversion,[],[f2821]) ).
cnf(s348,plain,
( spl18_44
| ~ spl18_47
| ~ spl18_147 ),
inference(sat_conversion,[],[f2833]) ).
cnf(s349,plain,
( ~ spl18_3
| ~ spl18_37
| ~ spl18_145 ),
inference(sat_conversion,[],[f2836]) ).
cnf(s352,plain,
( ~ spl18_10
| ~ spl18_12 ),
inference(sat_conversion,[],[f2875]) ).
cnf(s355,plain,
( ~ spl18_32
| spl18_64
| ~ spl18_143 ),
inference(sat_conversion,[],[f2881]) ).
cnf(s356,plain,
( ~ spl18_19
| ~ spl18_42
| ~ spl18_140 ),
inference(sat_conversion,[],[f2889]) ).
cnf(s357,plain,
( ~ spl18_40
| spl18_62
| ~ spl18_145 ),
inference(sat_conversion,[],[f2901]) ).
cnf(s358,plain,
( ~ spl18_45
| ~ spl18_47 ),
inference(sat_conversion,[],[f2908]) ).
cnf(s359,plain,
( ~ spl18_31
| spl18_44
| ~ spl18_143 ),
inference(sat_conversion,[],[f2909]) ).
cnf(s362,plain,
( ~ spl18_37
| ~ spl18_40 ),
inference(sat_conversion,[],[f2941]) ).
cnf(s364,plain,
( ~ spl18_23
| ~ spl18_50
| ~ spl18_132 ),
inference(sat_conversion,[],[f2948]) ).
cnf(s367,plain,
( spl18_24
| ~ spl18_46
| ~ spl18_147 ),
inference(sat_conversion,[],[f2999]) ).
cnf(s369,plain,
( ~ spl18_32
| ~ spl18_64
| spl18_143 ),
inference(sat_conversion,[],[f3012]) ).
cnf(s373,plain,
( ~ spl18_48
| spl18_64
| ~ spl18_147 ),
inference(sat_conversion,[],[f3020]) ).
cnf(s378,plain,
( spl18_22
| ~ spl18_38
| ~ spl18_145 ),
inference(sat_conversion,[],[f3056]) ).
cnf(s380,plain,
( ~ spl18_13
| ~ spl18_15 ),
inference(sat_conversion,[],[f3104]) ).
cnf(s382,plain,
( ~ spl18_57
| ~ spl18_58 ),
inference(sat_conversion,[],[f3125]) ).
cnf(s386,plain,
( ~ spl18_65
| ~ spl18_67 ),
inference(sat_conversion,[],[f3142]) ).
cnf(s388,plain,
( ~ spl18_77
| ~ spl18_78 ),
inference(sat_conversion,[],[f3148]) ).
cnf(s389,plain,
( ~ spl18_81
| ~ spl18_82 ),
inference(sat_conversion,[],[f3150]) ).
cnf(s391,plain,
( ~ spl18_81
| ~ spl18_83 ),
inference(sat_conversion,[],[f3158]) ).
cnf(s392,plain,
( ~ spl18_97
| ~ spl18_98 ),
inference(sat_conversion,[],[f3164]) ).
cnf(s394,plain,
( ~ spl18_97
| ~ spl18_99 ),
inference(sat_conversion,[],[f3173]) ).
cnf(s395,plain,
( ~ spl18_73
| ~ spl18_76 ),
inference(sat_conversion,[],[f3175]) ).
cnf(s396,plain,
( ~ spl18_81
| ~ spl18_84 ),
inference(sat_conversion,[],[f3181]) ).
cnf(s397,plain,
( ~ spl18_97
| ~ spl18_100 ),
inference(sat_conversion,[],[f3187]) ).
cnf(s399,plain,
( ~ spl18_70
| ~ spl18_71 ),
inference(sat_conversion,[],[f3197]) ).
cnf(s401,plain,
( ~ spl18_70
| ~ spl18_72 ),
inference(sat_conversion,[],[f3204]) ).
cnf(s403,plain,
( ~ spl18_78
| ~ spl18_79 ),
inference(sat_conversion,[],[f3214]) ).
cnf(s405,plain,
( ~ spl18_78
| ~ spl18_80 ),
inference(sat_conversion,[],[f3221]) ).
cnf(s407,plain,
( ~ spl18_67
| ~ spl18_68 ),
inference(sat_conversion,[],[f3228]) ).
cnf(s409,plain,
( ~ spl18_69
| ~ spl18_70 ),
inference(sat_conversion,[],[f3233]) ).
cnf(s411,plain,
( ~ spl18_85
| ~ spl18_86 ),
inference(sat_conversion,[],[f3245]) ).
cnf(s413,plain,
( ~ spl18_86
| ~ spl18_114
| ~ spl18_151 ),
inference(sat_conversion,[],[f3250]) ).
cnf(s416,plain,
( ~ spl18_67
| ~ spl18_69
| ~ spl18_156 ),
inference(sat_conversion,[],[f3261]) ).
cnf(s417,plain,
( spl18_68
| ~ spl18_77
| ~ spl18_158 ),
inference(sat_conversion,[],[f3267]) ).
cnf(s418,plain,
( spl18_68
| ~ spl18_93
| ~ spl18_162 ),
inference(sat_conversion,[],[f3275]) ).
cnf(s419,plain,
( ~ spl18_67
| ~ spl18_81
| ~ spl18_159 ),
inference(sat_conversion,[],[f3277]) ).
cnf(s420,plain,
( ~ spl18_95
| spl18_108
| ~ spl18_162 ),
inference(sat_conversion,[],[f3286]) ).
cnf(s421,plain,
( ~ spl18_96
| spl18_128
| ~ spl18_162 ),
inference(sat_conversion,[],[f3290]) ).
cnf(s422,plain,
( spl18_88
| ~ spl18_94
| ~ spl18_162 ),
inference(sat_conversion,[],[f3295]) ).
cnf(s424,plain,
( ~ spl18_86
| ~ spl18_88 ),
inference(sat_conversion,[],[f3305]) ).
cnf(s428,plain,
( ~ spl18_89
| ~ spl18_91 ),
inference(sat_conversion,[],[f3316]) ).
cnf(s429,plain,
( ~ spl18_86
| ~ spl18_87 ),
inference(sat_conversion,[],[f3321]) ).
cnf(s430,plain,
( ~ spl18_86
| ~ spl18_87 ),
inference(sat_conversion,[],[f3323]) ).
cnf(s431,plain,
( ~ spl18_82
| ~ spl18_84 ),
inference(sat_conversion,[],[f3329]) ).
cnf(s435,plain,
( ~ spl18_74
| ~ spl18_76 ),
inference(sat_conversion,[],[f3338]) ).
cnf(s437,plain,
( ~ spl18_66
| ~ spl18_67 ),
inference(sat_conversion,[],[f3346]) ).
cnf(s444,plain,
( ~ spl18_82
| ~ spl18_83 ),
inference(sat_conversion,[],[f3367]) ).
cnf(s446,plain,
( ~ spl18_95
| ~ spl18_96 ),
inference(sat_conversion,[],[f3371]) ).
cnf(s449,plain,
( ~ spl18_101
| ~ spl18_102 ),
inference(sat_conversion,[],[f3389]) ).
cnf(s451,plain,
( ~ spl18_105
| ~ spl18_107 ),
inference(sat_conversion,[],[f3396]) ).
cnf(s452,plain,
( ~ spl18_105
| ~ spl18_107 ),
inference(sat_conversion,[],[f3398]) ).
cnf(s455,plain,
( ~ spl18_107
| ~ spl18_108 ),
inference(sat_conversion,[],[f3406]) ).
cnf(s459,plain,
( spl18_87
| ~ spl18_90
| ~ spl18_161 ),
inference(sat_conversion,[],[f3424]) ).
cnf(s463,plain,
( ~ spl18_85
| ~ spl18_87 ),
inference(sat_conversion,[],[f3442]) ).
cnf(s464,plain,
( ~ spl18_94
| ~ spl18_95 ),
inference(sat_conversion,[],[f3449]) ).
cnf(s468,plain,
( ~ spl18_111
| ~ spl18_112 ),
inference(sat_conversion,[],[f3460]) ).
cnf(s472,plain,
( ~ spl18_102
| ~ spl18_103 ),
inference(sat_conversion,[],[f3480]) ).
cnf(s481,plain,
( ~ spl18_102
| ~ spl18_104 ),
inference(sat_conversion,[],[f3502]) ).
cnf(s482,plain,
( ~ spl18_90
| ~ spl18_91 ),
inference(sat_conversion,[],[f3518]) ).
cnf(s485,plain,
( spl18_68
| ~ spl18_109
| ~ spl18_166 ),
inference(sat_conversion,[],[f3524]) ).
cnf(s487,plain,
( ~ spl18_87
| ~ spl18_114
| ~ spl18_151 ),
inference(sat_conversion,[],[f3528]) ).
cnf(s488,plain,
( ~ spl18_94
| ~ spl18_96 ),
inference(sat_conversion,[],[f3543]) ).
cnf(s489,plain,
( ~ spl18_98
| ~ spl18_100 ),
inference(sat_conversion,[],[f3545]) ).
cnf(s492,plain,
( ~ spl18_127
| ~ spl18_128 ),
inference(sat_conversion,[],[f3560]) ).
cnf(s494,plain,
( ~ spl18_114
| ~ spl18_115 ),
inference(sat_conversion,[],[f3570]) ).
cnf(s496,plain,
( ~ spl18_88
| ~ spl18_114
| ~ spl18_151 ),
inference(sat_conversion,[],[f3574]) ).
cnf(s498,plain,
( ~ spl18_114
| ~ spl18_116 ),
inference(sat_conversion,[],[f3581]) ).
cnf(s501,plain,
( ~ spl18_77
| ~ spl18_80 ),
inference(sat_conversion,[],[f3597]) ).
cnf(s502,plain,
( ~ spl18_71
| ~ spl18_106
| spl18_156 ),
inference(sat_conversion,[],[f3606]) ).
cnf(s505,plain,
( spl18_88
| ~ spl18_110
| ~ spl18_166 ),
inference(sat_conversion,[],[f3617]) ).
cnf(s506,plain,
( ~ spl18_90
| ~ spl18_92 ),
inference(sat_conversion,[],[f3620]) ).
cnf(s512,plain,
( ~ spl18_87
| ~ spl18_88 ),
inference(sat_conversion,[],[f3644]) ).
cnf(s516,plain,
( ~ spl18_105
| ~ spl18_108 ),
inference(sat_conversion,[],[f3672]) ).
cnf(s517,plain,
( ~ spl18_89
| ~ spl18_90 ),
inference(sat_conversion,[],[f3684]) ).
cnf(s518,plain,
( ~ spl18_67
| ~ spl18_97
| ~ spl18_163 ),
inference(sat_conversion,[],[f3688]) ).
cnf(s520,plain,
( ~ spl18_110
| ~ spl18_112 ),
inference(sat_conversion,[],[f3707]) ).
cnf(s521,plain,
( ~ spl18_110
| ~ spl18_112 ),
inference(sat_conversion,[],[f3709]) ).
cnf(s522,plain,
( ~ spl18_106
| ~ spl18_108 ),
inference(sat_conversion,[],[f3716]) ).
cnf(s523,plain,
( ~ spl18_112
| spl18_128
| ~ spl18_166 ),
inference(sat_conversion,[],[f3717]) ).
cnf(s528,plain,
( spl18_108
| ~ spl18_111
| ~ spl18_166 ),
inference(sat_conversion,[],[f3735]) ).
cnf(s529,plain,
( ~ spl18_82
| ~ spl18_87
| ~ spl18_159 ),
inference(sat_conversion,[],[f3737]) ).
cnf(s532,plain,
( ~ spl18_110
| ~ spl18_111 ),
inference(sat_conversion,[],[f3757]) ).
cnf(s535,plain,
( ~ spl18_103
| ~ spl18_104 ),
inference(sat_conversion,[],[f3778]) ).
cnf(s538,plain,
( ~ spl18_121
| ~ spl18_122 ),
inference(sat_conversion,[],[f3796]) ).
cnf(s540,plain,
( spl18_87
| ~ spl18_122
| ~ spl18_153 ),
inference(sat_conversion,[],[f3801]) ).
cnf(s545,plain,
( ~ spl18_125
| ~ spl18_128 ),
inference(sat_conversion,[],[f3822]) ).
cnf(s548,plain,
( ~ spl18_84
| ~ spl18_128
| ~ spl18_159 ),
inference(sat_conversion,[],[f3830]) ).
cnf(s549,plain,
( ~ spl18_101
| ~ spl18_103 ),
inference(sat_conversion,[],[f3847]) ).
cnf(s553,plain,
( ~ spl18_91
| ~ spl18_92 ),
inference(sat_conversion,[],[f3867]) ).
cnf(s554,plain,
( ~ spl18_86
| ~ spl18_98
| ~ spl18_163 ),
inference(sat_conversion,[],[f3872]) ).
cnf(s555,plain,
( ~ spl18_93
| ~ spl18_94 ),
inference(sat_conversion,[],[f3885]) ).
cnf(s558,plain,
( ~ spl18_100
| ~ spl18_128
| ~ spl18_163 ),
inference(sat_conversion,[],[f3894]) ).
cnf(s559,plain,
( ~ spl18_126
| ~ spl18_128 ),
inference(sat_conversion,[],[f3910]) ).
cnf(s561,plain,
( ~ spl18_93
| ~ spl18_95 ),
inference(sat_conversion,[],[f3932]) ).
cnf(s564,plain,
( ~ spl18_88
| ~ spl18_98
| ~ spl18_163 ),
inference(sat_conversion,[],[f3971]) ).
cnf(s565,plain,
( ~ spl18_106
| ~ spl18_107 ),
inference(sat_conversion,[],[f3989]) ).
cnf(s567,plain,
( ~ spl18_67
| ~ spl18_113
| ~ spl18_151 ),
inference(sat_conversion,[],[f3999]) ).
cnf(s568,plain,
( ~ spl18_107
| ~ spl18_119
| ~ spl18_152 ),
inference(sat_conversion,[],[f4001]) ).
cnf(s569,plain,
( ~ spl18_75
| ~ spl18_76 ),
inference(sat_conversion,[],[f4028]) ).
cnf(s570,plain,
( ~ spl18_118
| ~ spl18_119 ),
inference(sat_conversion,[],[f4030]) ).
cnf(s572,plain,
( ~ spl18_118
| ~ spl18_120 ),
inference(sat_conversion,[],[f4044]) ).
cnf(s573,plain,
( ~ spl18_115
| ~ spl18_116 ),
inference(sat_conversion,[],[f4059]) ).
cnf(s576,plain,
( ~ spl18_87
| ~ spl18_98
| ~ spl18_163 ),
inference(sat_conversion,[],[f4066]) ).
cnf(s577,plain,
( spl18_107
| ~ spl18_123
| ~ spl18_153 ),
inference(sat_conversion,[],[f4075]) ).
cnf(s580,plain,
( ~ spl18_69
| ~ spl18_72 ),
inference(sat_conversion,[],[f4097]) ).
cnf(s582,plain,
( ~ spl18_77
| ~ spl18_79 ),
inference(sat_conversion,[],[f4111]) ).
cnf(s583,plain,
( ~ spl18_121
| ~ spl18_123 ),
inference(sat_conversion,[],[f4128]) ).
cnf(s584,plain,
( ~ spl18_83
| ~ spl18_107
| ~ spl18_159 ),
inference(sat_conversion,[],[f4135]) ).
cnf(s586,plain,
( ~ spl18_83
| ~ spl18_106
| ~ spl18_159 ),
inference(sat_conversion,[],[f4155]) ).
cnf(s587,plain,
( ~ spl18_122
| ~ spl18_123 ),
inference(sat_conversion,[],[f4163]) ).
cnf(s588,plain,
( ~ spl18_91
| spl18_107
| ~ spl18_161 ),
inference(sat_conversion,[],[f4165]) ).
cnf(s593,plain,
( ~ spl18_100
| ~ spl18_127
| ~ spl18_163 ),
inference(sat_conversion,[],[f4192]) ).
cnf(s594,plain,
( ~ spl18_116
| spl18_125
| ~ spl18_151 ),
inference(sat_conversion,[],[f4197]) ).
cnf(s595,plain,
( ~ spl18_124
| spl18_127
| ~ spl18_153 ),
inference(sat_conversion,[],[f4215]) ).
cnf(s597,plain,
( ~ spl18_101
| ~ spl18_104 ),
inference(sat_conversion,[],[f4226]) ).
cnf(s598,plain,
( ~ spl18_85
| ~ spl18_88 ),
inference(sat_conversion,[],[f4254]) ).
cnf(s602,plain,
( ~ spl18_121
| ~ spl18_124 ),
inference(sat_conversion,[],[f4289]) ).
cnf(s606,plain,
( ~ spl18_113
| ~ spl18_116 ),
inference(sat_conversion,[],[f4319]) ).
cnf(s610,plain,
( ~ spl18_125
| ~ spl18_126 ),
inference(sat_conversion,[],[f4348]) ).
cnf(s611,plain,
( ~ spl18_113
| ~ spl18_114 ),
inference(sat_conversion,[],[f4351]) ).
cnf(s612,plain,
( ~ spl18_84
| ~ spl18_126
| ~ spl18_159 ),
inference(sat_conversion,[],[f4356]) ).
cnf(s615,plain,
( ~ spl18_125
| ~ spl18_127 ),
inference(sat_conversion,[],[f4372]) ).
cnf(s620,plain,
( ~ spl18_119
| ~ spl18_120 ),
inference(sat_conversion,[],[f4403]) ).
cnf(s621,plain,
( ~ spl18_67
| spl18_177 ),
inference(sat_conversion,[],[f4411]) ).
cnf(s623,plain,
( ~ spl18_33
| ~ spl18_97
| ~ spl18_177
| spl18_282 ),
inference(sat_conversion,[],[f4417]) ).
cnf(s630,plain,
( ~ spl18_67
| spl18_76 ),
inference(sat_conversion,[],[f4456]) ).
cnf(s645,plain,
( ~ spl18_120
| ~ spl18_127
| ~ spl18_152 ),
inference(sat_conversion,[],[f4494]) ).
cnf(s647,plain,
( ~ spl18_85
| spl18_181 ),
inference(sat_conversion,[],[f4510]) ).
cnf(s648,plain,
( ~ spl18_21
| ~ spl18_172
| ~ spl18_181
| spl18_273 ),
inference(sat_conversion,[],[f4512]) ).
cnf(s649,plain,
( ~ spl18_40
| ~ spl18_104
| ~ spl18_172
| ~ spl18_177
| spl18_275 ),
inference(sat_conversion,[],[f4521]) ).
cnf(s650,plain,
( ~ spl18_27
| ~ spl18_91
| ~ spl18_172
| ~ spl18_177
| spl18_274 ),
inference(sat_conversion,[],[f4531]) ).
cnf(s651,plain,
( ~ spl18_50
| ~ spl18_114
| ~ spl18_172
| spl18_277 ),
inference(sat_conversion,[],[f4538]) ).
cnf(s656,plain,
( ~ spl18_128
| spl18_270 ),
inference(sat_conversion,[],[f4576]) ).
cnf(s661,plain,
( ~ spl18_42
| ~ spl18_106
| ~ spl18_172
| ~ spl18_177
| spl18_276 ),
inference(sat_conversion,[],[f4786]) ).
cnf(s662,plain,
( ~ spl18_57
| ~ spl18_121
| ~ spl18_177
| spl18_279 ),
inference(sat_conversion,[],[f4794]) ).
cnf(s663,plain,
( ~ spl18_64
| ~ spl18_270
| spl18_278 ),
inference(sat_conversion,[],[f4800]) ).
cnf(s664,plain,
( ~ spl18_47
| ~ spl18_111
| ~ spl18_177
| spl18_281 ),
inference(sat_conversion,[],[f4808]) ).
cnf(s665,plain,
( ~ spl18_55
| ~ spl18_119
| ~ spl18_172
| ~ spl18_177
| spl18_280 ),
inference(sat_conversion,[],[f4816]) ).
cnf(s666,plain,
( ~ spl18_20
| ~ spl18_84
| ~ spl18_172
| spl18_284 ),
inference(sat_conversion,[],[f4824]) ).
cnf(s667,plain,
( ~ spl18_30
| ~ spl18_94
| ~ spl18_172
| spl18_283 ),
inference(sat_conversion,[],[f4832]) ).
cnf(s668,plain,
( ~ spl18_12
| ~ spl18_76
| ~ spl18_177
| spl18_286 ),
inference(sat_conversion,[],[f4840]) ).
cnf(s669,plain,
( ~ spl18_13
| ~ spl18_77
| spl18_285 ),
inference(sat_conversion,[],[f4846]) ).
cnf(s670,plain,
( ~ spl18_3
| spl18_288 ),
inference(sat_conversion,[],[f4851]) ).
cnf(s671,plain,
( ~ spl18_6
| ~ spl18_70
| ~ spl18_172
| spl18_287 ),
inference(sat_conversion,[],[f4857]) ).
cnf(s679,plain,
( spl18_21
| ~ spl18_50
| ~ spl18_132 ),
inference(sat_conversion,[],[f4910]) ).
cnf(s685,plain,
( ~ spl18_20
| ~ spl18_24 ),
inference(sat_conversion,[],[f4931]) ).
cnf(s687,plain,
( ~ spl18_21
| ~ spl18_25 ),
inference(sat_conversion,[],[f4935]) ).
cnf(s688,plain,
( ~ spl18_21
| ~ spl18_37 ),
inference(sat_conversion,[],[f4937]) ).
cnf(s689,plain,
( ~ spl18_33
| ~ spl18_37 ),
inference(sat_conversion,[],[f4944]) ).
cnf(s693,plain,
( ~ spl18_26
| ~ spl18_42 ),
inference(sat_conversion,[],[f5029]) ).
cnf(s696,plain,
( ~ spl18_3
| spl18_12 ),
inference(sat_conversion,[],[f5077]) ).
cnf(s697,plain,
( ~ spl18_54
| ~ spl18_55 ),
inference(sat_conversion,[],[f5083]) ).
cnf(s699,plain,
( ~ spl18_43
| spl18_146 ),
inference(sat_conversion,[],[f5091]) ).
cnf(s701,plain,
( ~ spl18_3
| ~ spl18_21
| ~ spl18_141 ),
inference(sat_conversion,[],[f5102]) ).
cnf(s709,plain,
( ~ spl18_12
| ~ spl18_28 ),
inference(sat_conversion,[],[f5117]) ).
cnf(s710,plain,
( ~ spl18_12
| ~ spl18_44 ),
inference(sat_conversion,[],[f5119]) ).
cnf(s719,plain,
( ~ spl18_50
| ~ spl18_54 ),
inference(sat_conversion,[],[f5138]) ).
cnf(s731,plain,
~ spl18_171,
inference(rat,[],[s134,s167]) ).
cnf(s732,plain,
spl18_76,
inference(rat,[],[s630,s130]) ).
cnf(s733,plain,
spl18_177,
inference(rat,[],[s621,s130]) ).
cnf(s734,plain,
~ spl18_66,
inference(rat,[],[s437,s130]) ).
cnf(s735,plain,
~ spl18_68,
inference(rat,[],[s407,s130]) ).
cnf(s736,plain,
~ spl18_65,
inference(rat,[],[s386,s130]) ).
cnf(s737,plain,
~ spl18_75,
inference(rat,[],[s569,s732]) ).
cnf(s738,plain,
~ spl18_74,
inference(rat,[],[s435,s732]) ).
cnf(s739,plain,
~ spl18_73,
inference(rat,[],[s395,s732]) ).
cnf(s740,plain,
~ spl18_175,
inference(rat,[],[s138,s733]) ).
cnf(s744,plain,
spl18_12,
inference(rat,[],[s696,s129]) ).
cnf(s745,plain,
spl18_288,
inference(rat,[],[s670,s129]) ).
cnf(s746,plain,
~ spl18_2,
inference(rat,[],[s319,s129]) ).
cnf(s747,plain,
~ spl18_1,
inference(rat,[],[s219,s129]) ).
cnf(s748,plain,
~ spl18_4,
inference(rat,[],[s190,s129]) ).
cnf(s749,plain,
~ spl18_44,
inference(rat,[],[s710,s744]) ).
cnf(s750,plain,
~ spl18_28,
inference(rat,[],[s709,s744]) ).
cnf(s752,plain,
spl18_286,
inference(rat,[],[s668,s732,s733,s744]) ).
cnf(s753,plain,
~ spl18_10,
inference(rat,[],[s352,s744]) ).
cnf(s754,plain,
~ spl18_9,
inference(rat,[],[s196,s744]) ).
cnf(s755,plain,
( spl18_91
| spl18_107
| spl18_123 ),
inference(rat,[],[s85,s737]) ).
cnf(s756,plain,
( spl18_90
| spl18_106
| spl18_122 ),
inference(rat,[],[s83,s738]) ).
cnf(s757,plain,
( spl18_89
| spl18_105
| spl18_121 ),
inference(rat,[],[s81,s739]) ).
cnf(s758,plain,
( spl18_84
| spl18_100
| spl18_116 ),
inference(rat,[],[s71,s735]) ).
cnf(s759,plain,
( spl18_70
| spl18_78 ),
inference(rat,[],[s68,s738,s734]) ).
cnf(s760,plain,
( spl18_82
| spl18_98
| spl18_114 ),
inference(rat,[],[s67,s734]) ).
cnf(s761,plain,
( spl18_69
| spl18_77 ),
inference(rat,[],[s66,s739,s736]) ).
cnf(s762,plain,
( spl18_81
| spl18_97
| spl18_113 ),
inference(rat,[],[s65,s736]) ).
cnf(s763,plain,
( spl18_36
| spl18_40
| spl18_48 ),
inference(rat,[],[s40,s749]) ).
cnf(s765,plain,
( spl18_26
| spl18_42
| spl18_58 ),
inference(rat,[],[s35,s753]) ).
cnf(s766,plain,
( spl18_25
| spl18_41
| spl18_57 ),
inference(rat,[],[s33,s754]) ).
cnf(s767,plain,
( spl18_20
| spl18_24
| spl18_32 ),
inference(rat,[],[s32,s750]) ).
cnf(s768,plain,
( spl18_20
| spl18_36
| spl18_52 ),
inference(rat,[],[s23,s748]) ).
cnf(s769,plain,
( spl18_6
| spl18_14 ),
inference(rat,[],[s20,s753,s746]) ).
cnf(s770,plain,
( spl18_18
| spl18_34
| spl18_50 ),
inference(rat,[],[s19,s746]) ).
cnf(s771,plain,
( spl18_5
| spl18_13 ),
inference(rat,[],[s18,s754,s747]) ).
cnf(s772,plain,
( spl18_17
| spl18_33
| spl18_49 ),
inference(rat,[],[s17,s747]) ).
cnf(s774,plain,
( spl18_25
| spl18_26
| spl18_27 ),
inference(rat,[],[s7,s750]) ).
cnf(s775,plain,
( ~ spl18_49
| spl18_130
| ~ spl18_23
| spl18_18
| spl18_129 ),
inference(rat,[],[s262,s109,s770,s97,s212,s345,s129]) ).
cnf(s776,plain,
( spl18_130
| ~ spl18_23
| spl18_21
| spl18_18
| spl18_17
| spl18_5 ),
inference(rat,[],[s98,s185,s109,s25,s302,s689,s772,s775,s104,s257,s771,s129,s748]) ).
cnf(s777,plain,
( spl18_22
| spl18_21
| spl18_24
| spl18_18
| spl18_17
| spl18_5 ),
inference(rat,[],[s693,s28,s296,s297,s106,s108,s776,s6]) ).
cnf(s778,plain,
( ~ spl18_131
| spl18_23
| spl18_21
| spl18_5 ),
inference(rat,[],[s245,s29,s25,s314,s349,s308,s110,s111,s198,s769,s301,s771,s129]) ).
cnf(s779,plain,
( spl18_130
| spl18_131
| spl18_21
| spl18_17
| spl18_5 ),
inference(rat,[],[s689,s772,s25,s345,s185,s97,s98,s104,s257,s771,s129,s748]) ).
cnf(s780,plain,
( spl18_21
| spl18_19
| spl18_18
| spl18_17
| spl18_5 ),
inference(rat,[],[s241,s30,s26,s359,s247,s108,s779,s778,s341,s777,s685,s5,s749,s748]) ).
cnf(s781,plain,
( ~ spl18_23
| spl18_130
| spl18_18
| spl18_17
| spl18_129 ),
inference(rat,[],[s364,s97,s770,s109,s208,s302,s772,s775,s129]) ).
cnf(s782,plain,
( ~ spl18_131
| spl18_23
| spl18_22
| spl18_37
| spl18_24 ),
inference(rat,[],[s191,s275,s357,s373,s10,s12,s314,s378,s308,s367,s348,s251,s110,s111,s112,s749,s748]) ).
cnf(s783,plain,
( ~ spl18_93
| spl18_87
| spl18_86
| spl18_83
| spl18_82 ),
inference(rat,[],[s482,s76,s78,s555,s561]) ).
cnf(s784,plain,
( spl18_87
| spl18_86
| spl18_85
| spl18_83
| spl18_82
| spl18_81 ),
inference(rat,[],[s464,s78,s76,s428,s517,s74,s783]) ).
cnf(s785,plain,
( ~ spl18_113
| spl18_149
| ~ spl18_87
| spl18_82
| spl18_148 ),
inference(rat,[],[s125,s576,s113,s760,s567,s611,s130]) ).
cnf(s786,plain,
( spl18_149
| ~ spl18_87
| spl18_82
| spl18_81
| spl18_148 ),
inference(rat,[],[s487,s113,s760,s125,s392,s518,s762,s785,s130]) ).
cnf(s787,plain,
( spl18_86
| spl18_85
| spl18_83
| spl18_82
| spl18_81
| spl18_148 ),
inference(rat,[],[s517,s76,s74,s422,s418,s124,s786,s512,s784,s735]) ).
cnf(s788,plain,
( ~ spl18_113
| spl18_149
| ~ spl18_86
| spl18_82
| spl18_148 ),
inference(rat,[],[s125,s554,s113,s760,s567,s611,s130]) ).
cnf(s789,plain,
( spl18_149
| ~ spl18_86
| spl18_82
| spl18_81
| spl18_148 ),
inference(rat,[],[s413,s113,s760,s125,s392,s518,s762,s788,s130]) ).
cnf(s790,plain,
( ~ spl18_86
| ~ spl18_84
| spl18_82
| spl18_81
| ~ spl18_77 ),
inference(rat,[],[s520,s95,s91,s421,s612,s548,s422,s121,s124,s789,s424,s501,s388,s120,s417,s735]) ).
cnf(s791,plain,
( spl18_94
| spl18_110
| ~ spl18_166
| spl18_87
| spl18_86
| spl18_83
| spl18_82
| ~ spl18_77 ),
inference(rat,[],[s95,s446,s523,s78,s559,s482,s91,s76,s501,s388]) ).
cnf(s792,plain,
( ~ spl18_108
| ~ spl18_91 ),
inference(rat,[],[s538,s757,s756,s516,s522,s482,s428]) ).
cnf(s793,plain,
( ~ spl18_166
| spl18_87
| spl18_88
| spl18_86
| spl18_83
| spl18_82
| ~ spl18_77 ),
inference(rat,[],[s492,s523,s93,s60,s528,s792,s78,s464,s791,s505,s485,s582,s735]) ).
cnf(s794,plain,
( spl18_112
| spl18_123
| ~ spl18_276
| spl18_108
| ~ spl18_274
| spl18_95
| spl18_96
| ~ spl18_283
| ~ spl18_277
| spl18_115
| spl18_100
| ~ spl18_282
| spl18_113
| spl18_117
| ~ spl18_273
| ~ spl18_284
| ~ spl18_287
| spl18_80
| spl18_79
| ~ spl18_285
| ~ spl18_47
| ~ spl18_40
| ~ spl18_55
| ~ spl18_57
| ~ spl18_64 ),
inference(rat,[],[s183,s665,s664,s662,s94,s93,s90,s663,s649,s492,s545,s656,s88,s95,s168,s731,s740,s752,s745,s167,s733]) ).
cnf(s795,plain,
( ~ spl18_94
| ~ spl18_277
| spl18_115
| spl18_99
| spl18_100
| ~ spl18_282
| spl18_113
| ~ spl18_153
| ~ spl18_152
| ~ spl18_273
| spl18_87
| spl18_88
| ~ spl18_284
| spl18_83
| spl18_72
| ~ spl18_287
| spl18_80
| spl18_79
| ~ spl18_285
| ~ spl18_47
| ~ spl18_30
| ~ spl18_27
| ~ spl18_42
| ~ spl18_40
| ~ spl18_55
| ~ spl18_57
| ~ spl18_64 ),
inference(rat,[],[s79,s535,s645,s86,s93,s468,s794,s577,s565,s661,s756,s792,s482,s650,s78,s464,s488,s667,s186,s540,s167,s733,s130]) ).
cnf(s796,plain,
( ~ spl18_128
| spl18_91
| spl18_115
| spl18_113
| ~ spl18_152 ),
inference(rat,[],[s568,s94,s755,s583,s90,s492,s545,s186,s130]) ).
cnf(s797,plain,
( spl18_149
| spl18_150
| ~ spl18_273
| spl18_86
| ~ spl18_284
| spl18_83
| spl18_82
| spl18_81
| ~ spl18_287
| spl18_148
| spl18_78
| spl18_80
| spl18_79
| ~ spl18_285
| ~ spl18_47
| ~ spl18_30
| ~ spl18_27
| ~ spl18_50
| ~ spl18_42
| ~ spl18_40
| ~ spl18_33
| ~ spl18_55
| ~ spl18_57
| ~ spl18_64 ),
inference(rat,[],[s94,s645,s620,s96,s583,s602,s90,s610,s91,s521,s95,s796,s446,s78,s482,s76,s795,s651,s494,s498,s760,s392,s394,s397,s623,s762,s567,s186,s113,s115,s114,s401,s759,s598,s463,s787,s167,s733,s130]) ).
cnf(s798,plain,
( spl18_83
| spl18_82
| spl18_81
| ~ spl18_287
| ~ spl18_285
| ~ spl18_77
| ~ spl18_47
| ~ spl18_30
| ~ spl18_50
| ~ spl18_42
| ~ spl18_40
| ~ spl18_33
| ~ spl18_55
| ~ spl18_57
| ~ spl18_64
| ~ spl18_21
| ~ spl18_20 ),
inference(rat,[],[s76,s459,s422,s123,s124,s797,s128,s793,s648,s463,s598,s647,s787,s790,s666,s53,s774,s693,s687,s582,s501,s388,s120,s417,s167,s735]) ).
cnf(s799,plain,
( ~ spl18_91
| spl18_95
| spl18_96
| ~ spl18_283
| ~ spl18_284
| ~ spl18_277
| spl18_115
| spl18_99
| spl18_100
| ~ spl18_282
| spl18_113
| spl18_122
| ~ spl18_153
| ~ spl18_152
| ~ spl18_273
| spl18_88
| spl18_72
| ~ spl18_287
| spl18_80
| spl18_79
| ~ spl18_285
| ~ spl18_47
| ~ spl18_27
| ~ spl18_42
| ~ spl18_40
| ~ spl18_55
| ~ spl18_57
| ~ spl18_64 ),
inference(rat,[],[s79,s535,s645,s86,s93,s468,s794,s577,s565,s661,s756,s792,s482,s650,s186,s167,s733,s130]) ).
cnf(s800,plain,
( ~ spl18_94
| ~ spl18_284
| ~ spl18_277
| spl18_115
| spl18_116
| spl18_99
| spl18_100
| ~ spl18_282
| spl18_113
| spl18_122
| ~ spl18_153
| ~ spl18_152
| ~ spl18_273
| spl18_88
| spl18_72
| ~ spl18_287
| spl18_80
| spl18_79
| ~ spl18_285
| ~ spl18_47
| ~ spl18_30
| ~ spl18_27
| ~ spl18_42
| ~ spl18_40
| ~ spl18_55
| ~ spl18_57
| ~ spl18_64 ),
inference(rat,[],[s602,s96,s90,s645,s615,s93,s468,s95,s796,s799,s464,s488,s667,s186,s167,s130]) ).
cnf(s802,plain,
( ~ spl18_127
| spl18_128
| spl18_116
| spl18_113
| ~ spl18_152 ),
inference(rat,[],[s602,s96,s90,s645,s615,s186,s130]) ).
cnf(s803,plain,
( spl18_150
| spl18_149
| ~ spl18_273
| spl18_86
| spl18_87
| spl18_88
| spl18_82
| spl18_81
| spl18_72
| ~ spl18_287
| spl18_148
| spl18_80
| spl18_79
| ~ spl18_285
| ~ spl18_47
| ~ spl18_30
| ~ spl18_27
| ~ spl18_50
| ~ spl18_42
| ~ spl18_40
| ~ spl18_33
| ~ spl18_55
| ~ spl18_57
| ~ spl18_64
| ~ spl18_20 ),
inference(rat,[],[s451,s757,s577,s583,s94,s620,s96,s595,s802,s796,s482,s517,s76,s800,s666,s758,s651,s494,s498,s760,s392,s394,s397,s623,s762,s567,s540,s113,s115,s114,s167,s733,s130]) ).
cnf(s804,plain,
( spl18_111
| spl18_95
| spl18_110
| ~ spl18_166
| spl18_79 ),
inference(rat,[],[s492,s523,s93,s60,s485,s735]) ).
cnf(s805,plain,
( ~ spl18_94
| spl18_114
| spl18_97
| ~ spl18_166
| spl18_88
| ~ spl18_77 ),
inference(rat,[],[s572,s92,s79,s587,s597,s755,s82,s559,s792,s455,s516,s95,s528,s468,s804,s464,s488,s582,s501,s401,s759,s388,s485,s505,s735]) ).
cnf(s806,plain,
( ~ spl18_150
| ~ spl18_85
| spl18_82
| spl18_81
| ~ spl18_77 ),
inference(rat,[],[s583,s755,s757,s455,s516,s528,s60,s523,s559,s482,s517,s91,s76,s805,s611,s762,s518,s505,s485,s125,s128,s388,s598,s411,s130,s735]) ).
cnf(s807,plain,
( spl18_150
| ~ spl18_273
| ~ spl18_20
| spl18_86
| spl18_87
| spl18_88
| spl18_82
| spl18_81
| spl18_72
| ~ spl18_287
| spl18_148
| spl18_80
| spl18_79
| ~ spl18_285
| ~ spl18_47
| ~ spl18_30
| ~ spl18_27
| ~ spl18_50
| ~ spl18_42
| ~ spl18_40
| ~ spl18_33
| ~ spl18_55
| ~ spl18_57
| ~ spl18_64 ),
inference(rat,[],[s76,s459,s422,s123,s124,s803]) ).
cnf(s808,plain,
( ~ spl18_85
| spl18_82
| spl18_81
| ~ spl18_287
| ~ spl18_285
| ~ spl18_77
| ~ spl18_47
| ~ spl18_30
| ~ spl18_50
| ~ spl18_42
| ~ spl18_40
| ~ spl18_33
| ~ spl18_55
| ~ spl18_57
| ~ spl18_64
| ~ spl18_21
| ~ spl18_20 ),
inference(rat,[],[s807,s806,s648,s411,s463,s598,s647,s774,s693,s687,s582,s501,s120,s417,s401,s759,s388,s167,s735]) ).
cnf(s809,plain,
( spl18_149
| spl18_150
| spl18_85
| spl18_82
| spl18_81
| spl18_148 ),
inference(rat,[],[s392,s760,s762,s496,s567,s54,s113,s789,s786,s130]) ).
cnf(s810,plain,
( ~ spl18_89
| spl18_107
| spl18_106 ),
inference(rat,[],[s587,s755,s756,s428,s517]) ).
cnf(s811,plain,
( ~ spl18_149
| spl18_85
| ~ spl18_83
| spl18_81 ),
inference(rat,[],[s74,s418,s810,s584,s586,s121,s124,s735]) ).
cnf(s812,plain,
( spl18_82
| spl18_81
| ~ spl18_287
| ~ spl18_285
| ~ spl18_77
| ~ spl18_47
| ~ spl18_30
| ~ spl18_50
| ~ spl18_42
| ~ spl18_40
| ~ spl18_33
| ~ spl18_55
| ~ spl18_57
| ~ spl18_64
| ~ spl18_21
| ~ spl18_20 ),
inference(rat,[],[s611,s760,s762,s564,s518,s125,s54,s809,s789,s786,s811,s808,s798,s120,s417,s130,s735]) ).
cnf(s813,plain,
( spl18_149
| spl18_150
| ~ spl18_85
| spl18_84
| spl18_81
| spl18_148 ),
inference(rat,[],[s92,s610,s498,s594,s758,s397,s762,s567,s540,s187,s113,s115,s114,s463,s411,s130]) ).
cnf(s814,plain,
( ~ spl18_91
| spl18_90
| ~ spl18_161 ),
inference(rat,[],[s538,s757,s756,s452,s565,s588,s428]) ).
cnf(s815,plain,
( ~ spl18_149
| spl18_87
| spl18_83 ),
inference(rat,[],[s587,s755,s756,s455,s522,s420,s78,s814,s459,s123,s124]) ).
cnf(s816,plain,
( ~ spl18_85
| spl18_84
| spl18_83
| spl18_81
| ~ spl18_77 ),
inference(rat,[],[s792,s78,s528,s446,s60,s95,s523,s558,s758,s606,s762,s518,s505,s485,s125,s128,s813,s815,s463,s598,s501,s120,s417,s130,s735]) ).
cnf(s817,plain,
( spl18_87
| spl18_126
| spl18_114
| spl18_103
| ~ spl18_153
| spl18_71 ),
inference(rat,[],[s570,s92,s77,s540]) ).
cnf(s818,plain,
( spl18_149
| spl18_150
| spl18_85
| spl18_84
| spl18_81
| spl18_69 ),
inference(rat,[],[s587,s94,s92,s620,s187,s79,s430,s512,s817,s610,s615,s594,s498,s573,s758,s397,s549,s597,s762,s73,s567,s186,s113,s115,s114,s120,s417,s401,s399,s759,s388,s761,s130,s735]) ).
cnf(s819,plain,
( ~ spl18_149
| ~ spl18_82 ),
inference(rat,[],[s529,s815,s121,s444]) ).
cnf(s820,plain,
( spl18_81
| ~ spl18_287
| ~ spl18_285
| spl18_69
| ~ spl18_47
| ~ spl18_30
| ~ spl18_50
| ~ spl18_42
| ~ spl18_40
| ~ spl18_33
| ~ spl18_55
| ~ spl18_57
| ~ spl18_64
| ~ spl18_21
| ~ spl18_20 ),
inference(rat,[],[s449,s82,s84,s516,s522,s528,s532,s93,s446,s95,s523,s489,s558,s593,s758,s606,s762,s518,s485,s125,s128,s818,s819,s816,s431,s444,s812,s582,s501,s761,s130,s735]) ).
cnf(s821,plain,
( ~ spl18_97
| ~ spl18_81 ),
inference(rat,[],[s498,s760,s758,s392,s397,s396,s389]) ).
cnf(s822,plain,
( ~ spl18_91
| ~ spl18_85
| ~ spl18_81 ),
inference(rat,[],[s488,s76,s80,s482,s553,s396,s389,s598,s411]) ).
cnf(s823,plain,
( ~ spl18_85
| ~ spl18_81 ),
inference(rat,[],[s506,s80,s76,s446,s464,s78,s822,s411,s463,s598,s396,s391,s389]) ).
cnf(s824,plain,
( spl18_87
| spl18_103
| spl18_104
| ~ spl18_151
| ~ spl18_153
| spl18_82
| spl18_84
| spl18_71
| spl18_72 ),
inference(rat,[],[s594,s758,s610,s489,s817,s760,s496,s79,s620,s77]) ).
cnf(s825,plain,
( spl18_150
| spl18_85
| spl18_149
| spl18_82
| spl18_84
| spl18_69 ),
inference(rat,[],[s92,s587,s610,s94,s594,s573,s758,s489,s645,s620,s760,s187,s79,s487,s430,s512,s824,s549,s597,s73,s186,s113,s115,s114,s120,s417,s401,s399,s759,s388,s761,s130,s735]) ).
cnf(s826,plain,
( spl18_88
| spl18_87
| ~ spl18_163
| ~ spl18_166
| spl18_85
| spl18_82
| spl18_83
| spl18_84
| spl18_80 ),
inference(rat,[],[s792,s78,s528,s446,s60,s95,s523,s558,s758,s498,s760,s554,s505,s54,s485,s735]) ).
cnf(s827,plain,
( spl18_87
| spl18_80
| ~ spl18_163
| ~ spl18_166
| spl18_85
| spl18_82
| spl18_83
| spl18_84 ),
inference(rat,[],[s482,s78,s76,s446,s488,s95,s523,s558,s758,s498,s760,s564,s424,s826]) ).
cnf(s828,plain,
( spl18_69
| ~ spl18_47
| ~ spl18_30
| ~ spl18_50
| ~ spl18_42
| ~ spl18_40
| ~ spl18_33
| ~ spl18_55
| ~ spl18_57
| ~ spl18_64
| ~ spl18_21
| ~ spl18_20
| ~ spl18_13 ),
inference(rat,[],[s449,s82,s84,s516,s522,s528,s60,s523,s558,s758,s498,s760,s505,s576,s512,s827,s485,s125,s128,s825,s823,s821,s121,s389,s391,s396,s419,s820,s671,s759,s388,s501,s669,s761,s769,s301,s735,s130,s167]) ).
cnf(s829,plain,
( spl18_149
| spl18_150
| spl18_82
| ~ spl18_85
| spl18_81
| ~ spl18_69 ),
inference(rat,[],[s757,s517,s452,s756,s577,s583,s502,s94,s77,s494,s645,s620,s760,s79,s392,s472,s481,s762,s75,s567,s540,s187,s113,s115,s114,s580,s409,s118,s416,s598,s463,s411,s130]) ).
cnf(s830,plain,
( ~ spl18_149
| spl18_82
| ~ spl18_85 ),
inference(rat,[],[s76,s459,s422,s123,s124,s598,s463,s411]) ).
cnf(s832,plain,
( ~ spl18_91
| spl18_110
| ~ spl18_166
| spl18_82
| spl18_86
| spl18_79 ),
inference(rat,[],[s804,s464,s528,s76,s792,s482]) ).
cnf(s833,plain,
( ~ spl18_94
| spl18_110
| ~ spl18_166
| ~ spl18_78 ),
inference(rat,[],[s95,s468,s545,s804,s89,s464,s488,s555,s405,s403,s388,s485,s735]) ).
cnf(s834,plain,
( ~ spl18_108
| spl18_89
| spl18_91 ),
inference(rat,[],[s583,s755,s757,s455,s516]) ).
cnf(s835,plain,
( spl18_82
| ~ spl18_85
| spl18_81
| ~ spl18_69 ),
inference(rat,[],[s89,s545,s561,s523,s804,s60,s528,s834,s517,s76,s833,s832,s505,s485,s128,s829,s830,s403,s388,s759,s409,s598,s411,s735]) ).
cnf(s836,plain,
( ~ spl18_85
| spl18_81
| ~ spl18_69 ),
inference(rat,[],[s792,s78,s528,s446,s60,s95,s523,s558,s758,s606,s762,s518,s505,s485,s125,s128,s813,s819,s431,s444,s835,s463,s598,s118,s416,s405,s759,s409,s130,s735]) ).
cnf(s837,plain,
( ~ spl18_149
| spl18_82
| spl18_85
| spl18_81
| spl18_148 ),
inference(rat,[],[s429,s787,s815,s811]) ).
cnf(s838,plain,
( spl18_82
| spl18_85
| spl18_148
| spl18_81 ),
inference(rat,[],[s611,s762,s760,s518,s564,s125,s54,s809,s789,s786,s837,s130]) ).
cnf(s839,plain,
( spl18_122
| spl18_126
| spl18_127
| spl18_114
| spl18_115
| ~ spl18_153 ),
inference(rat,[],[s517,s757,s756,s452,s565,s577,s583,s94,s570,s92]) ).
cnf(s840,plain,
( spl18_150
| spl18_81
| ~ spl18_69 ),
inference(rat,[],[s481,s75,s79,s570,s620,s430,s512,s94,s540,s587,s839,s610,s615,s594,s498,s573,s758,s397,s762,s567,s113,s115,s580,s409,s431,s819,s838,s836,s118,s416,s130]) ).
cnf(s841,plain,
~ spl18_108,
inference(rat,[],[s810,s834,s792,s455,s522]) ).
cnf(s843,plain,
( spl18_86
| spl18_122
| spl18_87
| ~ spl18_151
| ~ spl18_152
| spl18_85
| spl18_84
| spl18_82 ),
inference(rat,[],[s758,s594,s489,s610,s760,s92,s496,s187,s54]) ).
cnf(s844,plain,
( spl18_87
| ~ spl18_151
| ~ spl18_153
| ~ spl18_152
| spl18_85
| spl18_84
| spl18_82 ),
inference(rat,[],[s839,s610,s615,s594,s573,s758,s489,s760,s413,s843,s540]) ).
cnf(s845,plain,
( spl18_150
| spl18_82
| ~ spl18_69 ),
inference(rat,[],[s587,s839,s94,s610,s645,s620,s594,s573,s79,s758,s481,s489,s75,s760,s187,s487,s430,s512,s844,s113,s115,s114,s121,s823,s396,s419,s840,s580,s409,s118,s416,s130]) ).
cnf(s846,plain,
( spl18_81
| spl18_82
| ~ spl18_69 ),
inference(rat,[],[s838,s836,s118,s416,s130]) ).
cnf(s847,plain,
( spl18_82
| ~ spl18_69 ),
inference(rat,[],[s558,s758,s523,s498,s60,s760,s505,s576,s512,s827,s823,s391,s396,s846,s528,s485,s125,s128,s845,s405,s759,s409,s841,s735]) ).
cnf(s848,plain,
~ spl18_69,
inference(rat,[],[s95,s446,s523,s93,s558,s593,s758,s606,s762,s518,s528,s125,s128,s840,s389,s431,s847,s403,s405,s759,s409,s130,s841]) ).
cnf(s859,plain,
( spl18_130
| spl18_47
| spl18_39
| ~ spl18_42
| spl18_18
| spl18_17
| spl18_129 ),
inference(rat,[],[s772,s345,s210,s97,s38,s111,s699,s308,s781,s129]) ).
cnf(s860,plain,
( ~ spl18_130
| ~ spl18_42
| spl18_18
| spl18_17
| spl18_5 ),
inference(rat,[],[s780,s356,s701,s105,s106,s129]) ).
cnf(s861,plain,
( ~ spl18_42
| spl18_18
| spl18_17
| spl18_5 ),
inference(rat,[],[s859,s331,s828,s14,s31,s44,s768,s211,s16,s320,s382,s214,s772,s28,s191,s766,s298,s184,s345,s188,s185,s223,s239,s687,s100,s97,s98,s779,s111,s308,s781,s860,s344,s309,s693,s104,s257,s201,s769,s301,s771,s848,s749,s748,s129]) ).
cnf(s863,plain,
( ~ spl18_21
| ~ spl18_40
| spl18_42
| spl18_18
| spl18_17
| ~ spl18_13 ),
inference(rat,[],[s98,s312,s782,s29,s781,s106,s223,s239,s701,s104,s257,s198,s769,s301,s362,s331,s129,s748]) ).
cnf(s864,plain,
( ~ spl18_40
| spl18_18
| spl18_17
| spl18_5 ),
inference(rat,[],[s777,s199,s341,s29,s245,s25,s863,s331,s362,s198,s769,s301,s771,s861]) ).
cnf(s865,plain,
( ~ spl18_21
| spl18_40
| spl18_18
| spl18_17
| ~ spl18_13 ),
inference(rat,[],[s191,s320,s100,s98,s782,s781,s31,s106,s223,s239,s688,s701,s104,s257,s201,s769,s301,s129,s748]) ).
cnf(s866,plain,
( ~ spl18_36
| spl18_18
| spl18_17 ),
inference(rat,[],[s212,s772,s770,s211,s218]) ).
cnf(s867,plain,
( spl18_18
| spl18_17
| spl18_5 ),
inference(rat,[],[s199,s29,s31,s209,s245,s252,s36,s25,s208,s689,s772,s315,s215,s763,s768,s866,s284,s780,s865,s864,s861,s201,s198,s769,s301,s771]) ).
cnf(s868,plain,
( spl18_131
| spl18_130
| spl18_20
| spl18_17
| spl18_129 ),
inference(rat,[],[s768,s211,s214,s772,s184,s345,s100,s97,s748,s129]) ).
cnf(s869,plain,
( ~ spl18_21
| ~ spl18_40
| spl18_20
| spl18_17
| spl18_129 ),
inference(rat,[],[s36,s347,s262,s367,s782,s109,s112,s868,s106,s223,s239,s701,s362,s286,s129]) ).
cnf(s870,plain,
( ~ spl18_40
| spl18_17
| spl18_5 ),
inference(rat,[],[s275,s373,s191,s12,s357,s367,s348,s251,s199,s110,s112,s29,s779,s245,s105,s25,s295,s869,s331,s362,s104,s257,s198,s769,s301,s771,s229,s867,s749,s748]) ).
cnf(s871,plain,
( ~ spl18_21
| spl18_20
| spl18_17
| spl18_129 ),
inference(rat,[],[s36,s347,s262,s378,s367,s782,s109,s110,s112,s868,s106,s223,s239,s688,s701,s129]) ).
cnf(s872,plain,
( spl18_17
| spl18_5 ),
inference(rat,[],[s252,s31,s25,s199,s349,s778,s110,s779,s105,s295,s871,s870,s229,s867,s104,s257,s201,s769,s301,s771,s129,s748]) ).
cnf(s873,plain,
( ~ spl18_42
| ~ spl18_21
| spl18_37
| spl18_5 ),
inference(rat,[],[s16,s191,s298,s184,s369,s100,s297,s782,s28,s347,s693,s104,s257,s771,s207,s105,s264,s701,s223,s767,s239,s221,s872,s749,s748,s129]) ).
cnf(s875,plain,
( ~ spl18_47
| spl18_42
| spl18_38
| spl18_5 ),
inference(rat,[],[s214,s768,s184,s218,s100,s97,s36,s112,s335,s348,s104,s257,s771,s221,s105,s264,s872,s748,s749,s129]) ).
cnf(s876,plain,
( ~ spl18_21
| ~ spl18_40
| spl18_5 ),
inference(rat,[],[s12,s373,s367,s251,s112,s100,s275,s298,s45,s875,s242,s767,s873,s239,s380,s104,s257,s771,s221,s105,s264,s872,s362,s286,s748,s749,s129]) ).
cnf(s877,plain,
( ~ spl18_40
| spl18_5 ),
inference(rat,[],[s275,s373,s191,s12,s357,s367,s348,s251,s110,s112,s199,s98,s29,s185,s245,s25,s876,s331,s362,s104,s257,s198,s769,s301,s771,s105,s264,s872,s749,s748,s129]) ).
cnf(s878,plain,
( spl18_131
| spl18_24
| spl18_5 ),
inference(rat,[],[s191,s320,s100,s98,s104,s257,s105,s264,s872,s31,s201,s769,s301,s771,s877,s129,s748]) ).
cnf(s879,plain,
( ~ spl18_21
| spl18_5 ),
inference(rat,[],[s36,s262,s378,s367,s782,s109,s110,s112,s878,s873,s223,s239,s688]) ).
cnf(s880,plain,
( spl18_24
| spl18_5 ),
inference(rat,[],[s349,s25,s110,s252,s878,s31,s201,s769,s301,s771,s877,s879,s129]) ).
cnf(s881,plain,
spl18_5,
inference(rat,[],[s768,s218,s214,s770,s184,s679,s100,s97,s778,s199,s880,s879,s105,s207,s221,s264,s872,s104,s257,s771,s748,s129]) ).
cnf(s882,plain,
~ spl18_8,
inference(rat,[],[s337,s881]) ).
cnf(s883,plain,
~ spl18_7,
inference(rat,[],[s267,s881]) ).
cnf(s884,plain,
~ spl18_6,
inference(rat,[],[s193,s881]) ).
cnf(s886,plain,
spl18_14,
inference(rat,[],[s769,s884]) ).
cnf(s887,plain,
~ spl18_13,
inference(rat,[],[s301,s886]) ).
cnf(s888,plain,
~ spl18_16,
inference(rat,[],[s205,s886]) ).
cnf(s889,plain,
~ spl18_15,
inference(rat,[],[s203,s886]) ).
cnf(s891,plain,
( ~ spl18_40
| ~ spl18_21 ),
inference(rat,[],[s36,s262,s367,s109,s112,s347,s98,s29,s188,s697,s27,s286,s331,s223,s106,s701,s104,s306,s239,s883,s884,s886,s129]) ).
cnf(s892,plain,
( spl18_131
| ~ spl18_21 ),
inference(rat,[],[s191,s320,s100,s98,s106,s701,s104,s306,s31,s891,s239,s882,s886,s129]) ).
cnf(s893,plain,
~ spl18_21,
inference(rat,[],[s36,s347,s262,s378,s367,s782,s109,s110,s112,s892,s223,s239,s688,s701,s129]) ).
cnf(s894,plain,
( spl18_130
| spl18_131
| spl18_24
| spl18_39 ),
inference(rat,[],[s29,s346,s697,s44,s382,s42,s191,s184,s679,s345,s185,s100,s97,s98,s104,s306,s883,s748,s893,s129,s886]) ).
cnf(s897,plain,
( ~ spl18_143
| spl18_24 ),
inference(rat,[],[s358,s45,s41,s298,s274,s275,s355,s8,s297,s359,s247,s889,s887,s749,s748]) ).
cnf(s898,plain,
( spl18_24
| ~ spl18_40 ),
inference(rat,[],[s275,s373,s191,s12,s357,s367,s348,s251,s110,s112,s894,s108,s897,s331,s749,s748]) ).
cnf(s899,plain,
~ spl18_40,
inference(rat,[],[s697,s29,s27,s199,s226,s898,s286,s331,s883,s884]) ).
cnf(s900,plain,
( spl18_131
| spl18_24 ),
inference(rat,[],[s191,s320,s100,s98,s31,s104,s306,s108,s897,s886,s899,s882]) ).
cnf(s901,plain,
spl18_24,
inference(rat,[],[s237,s45,s41,s298,s274,s275,s373,s12,s367,s348,s251,s112,s900,s889,s887,s749,s748]) ).
cnf(s902,plain,
~ spl18_20,
inference(rat,[],[s685,s901]) ).
cnf(s903,plain,
~ spl18_22,
inference(rat,[],[s226,s901]) ).
cnf(s904,plain,
~ spl18_23,
inference(rat,[],[s199,s901]) ).
cnf(s905,plain,
( spl18_129
| spl18_130
| spl18_131 ),
inference(rat,[],[s768,s218,s214,s770,s184,s679,s207,s100,s97,s868,s893,s748,s902]) ).
cnf(s906,plain,
( ~ spl18_47
| ~ spl18_63 ),
inference(rat,[],[s240,s47,s41,s282,s358,s268,s275,s298,s888,s887,s749]) ).
cnf(s907,plain,
( spl18_49
| spl18_39
| ~ spl18_129 ),
inference(rat,[],[s233,s30,s765,s220,s382,s772,s42,s309,s245,s29,s210,s238,s41,s303,s763,s227,s38,s906,s289,s101,s268,s305,s103,s904,s744,s887,s899,s129,s883]) ).
cnf(s908,plain,
( spl18_39
| ~ spl18_129 ),
inference(rat,[],[s215,s907,s768,s227,s38,s289,s101,s906,s305,s103,s902,s744,s129]) ).
cnf(s909,plain,
( spl18_18
| ~ spl18_129 ),
inference(rat,[],[s233,s30,s28,s220,s238,s339,s772,s41,s215,s303,s768,s763,s208,s218,s770,s268,s305,s103,s719,s27,s209,s908,s904,s903,s887,s902,s899,s884,s744]) ).
cnf(s910,plain,
( ~ spl18_33
| ~ spl18_129 ),
inference(rat,[],[s315,s36,s763,s208,s211,s309,s101,s209,s908,s899,s129]) ).
cnf(s911,plain,
~ spl18_129,
inference(rat,[],[s240,s47,s41,s315,s333,s36,s218,s768,s215,s772,s910,s207,s909,s209,s908,s275,s268,s298,s309,s305,s101,s103,s888,s887,s902,s749,s129,s744]) ).
cnf(s912,plain,
~ spl18_130,
inference(rat,[],[s41,s358,s255,s45,s271,s279,s359,s247,s106,s108,s887,s889,s901,s749,s748]) ).
cnf(s913,plain,
spl18_131,
inference(rat,[],[s905,s911,s912]) ).
cnf(s915,plain,
spl18_146,
inference(rat,[],[s111,s913]) ).
cnf(s916,plain,
spl18_145,
inference(rat,[],[s110,s913]) ).
cnf(s920,plain,
~ spl18_42,
inference(rat,[],[s308,s904,s915]) ).
cnf(s921,plain,
~ spl18_37,
inference(rat,[],[s349,s129,s916]) ).
cnf(s922,plain,
~ spl18_38,
inference(rat,[],[s254,s901,s916]) ).
cnf(s923,plain,
~ spl18_39,
inference(rat,[],[s314,s920,s916]) ).
cnf(s926,plain,
$false,
inference(rat,[],[s10,s899,s923,s921,s922]) ).
fof(f5230,plain,
$false,
inference(avatar_sat_refutation,[],[s926]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG116+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n010.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 19:30:47 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.34/1.45 % (2237304)Detected formulas, will run a generic FOF schedule.
% 5.34/1.45 % (2237311)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3700469449:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.34/1.45 % (2237314)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3314637111:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.34/1.45 % (2237309)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=419954765:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.34/1.45 % (2237315)dis-21_1_sil=8000:lcm=predicate:random_seed=1488343695:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.34/1.45 % (2237310)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1570200038:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.34/1.45 % (2237312)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1847595787:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.34/1.45 % (2237313)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1097312137:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.34/1.45 % (2237315)Refutation not found, incomplete strategy
% 5.34/1.45 % (2237315)------------------------------
% 5.34/1.45 % (2237315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.34/1.45 % (2237315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/1.45 % (2237315)CaDiCaL version: 2.1.3
% 5.34/1.45 % (2237315)Termination reason: Refutation not found, incomplete strategy
% 5.34/1.45 % (2237315)Time elapsed: 0.016 s
% 5.34/1.45 % (2237315)Peak memory usage: 89 MB
% 5.34/1.45 % (2237315)Instructions burned: 31 (million)
% 5.34/1.45 % (2237312)Instruction limit reached!
% 5.34/1.45 % (2237312)------------------------------
% 5.34/1.45 % (2237312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.34/1.45 % (2237312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/1.45 % (2237312)CaDiCaL version: 2.1.3
% 5.34/1.45 % (2237312)Termination reason: Instruction limit
% 5.34/1.45 % (2237312)Termination phase: Saturation
% 5.34/1.45 % (2237312)Time elapsed: 0.050 s
% 5.34/1.45 % (2237312)Peak memory usage: 90 MB
% 5.34/1.45 % (2237312)Instructions burned: 111 (million)
% 5.34/1.45 % (2237313)Instruction limit reached!
% 5.34/1.45 % (2237313)------------------------------
% 5.34/1.45 % (2237313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.34/1.45 % (2237313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/1.45 % (2237313)CaDiCaL version: 2.1.3
% 5.34/1.45 % (2237313)Termination reason: Instruction limit
% 5.34/1.45 % (2237313)Termination phase: Saturation
% 5.34/1.45 % (2237313)Time elapsed: 0.050 s
% 5.34/1.45 % (2237313)Peak memory usage: 87 MB
% 5.34/1.45 % (2237313)Instructions burned: 120 (million)
% 5.34/1.45 % (2237314)Instruction limit reached!
% 5.34/1.45 % (2237314)------------------------------
% 5.34/1.45 % (2237314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.34/1.45 % (2237314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/1.45 % (2237314)CaDiCaL version: 2.1.3
% 5.34/1.45 % (2237314)Termination reason: Instruction limit
% 5.34/1.45 % (2237314)Termination phase: Saturation
% 5.34/1.45 % (2237314)Time elapsed: 0.072 s
% 5.34/1.45 % (2237314)Peak memory usage: 89 MB
% 5.34/1.45 % (2237314)Instructions burned: 140 (million)
% 5.34/1.45 [W928 19:30:48.124724643 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 [W928 19:30:48.124756002 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 [W928 19:30:48.124776123 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 [W928 19:30:48.124782216 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 [W928 19:30:48.124796245 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 [W928 19:30:48.124801699 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 % (2237324)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1628808955:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.34/1.45 % (2237323)lrs+10_1_sil=8000:sp=occurrence:random_seed=3731038760:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.34/1.45 % (2237325)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2480425486:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.34/1.45 % (2237315)------------------------------
% 5.34/1.45 % (2237315)------------------------------
% 5.34/1.45 % (2237324)Instruction limit reached!
% 5.34/1.45 % (2237324)------------------------------
% 5.34/1.45 % (2237324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.34/1.45 % (2237324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/1.45 % (2237324)CaDiCaL version: 2.1.3
% 5.34/1.45 % (2237324)Termination reason: Instruction limit
% 5.34/1.45 % (2237324)Termination phase: Saturation
% 5.34/1.45 % (2237324)Time elapsed: 0.077 s
% 5.34/1.45 % (2237324)Peak memory usage: 89 MB
% 5.34/1.45 % (2237324)Instructions burned: 157 (million)
% 5.34/1.45 % (2237325)First to succeed.
% 5.34/1.45 % (2237325)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2237304"
% 5.34/1.45 % (2237323)Also succeeded, but the first one will report.
% 5.34/1.45 % (2237311)Refutation not found, incomplete strategy
% 5.34/1.45 % (2237311)------------------------------
% 5.34/1.45 % (2237311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.34/1.45 % (2237311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/1.45 % (2237311)CaDiCaL version: 2.1.3
% 5.34/1.45 % (2237311)Termination reason: Refutation not found, incomplete strategy
% 5.34/1.45 % (2237311)Time elapsed: 0.418 s
% 5.34/1.45 % (2237311)Peak memory usage: 130 MB
% 5.34/1.45 % (2237311)Instructions burned: 1166 (million)
% 5.34/1.45 [W928 19:30:48.347616226 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 [W928 19:30:48.347663423 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 [W928 19:30:48.347699120 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 [W928 19:30:48.347710340 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 [W928 19:30:48.347736960 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 [W928 19:30:48.347747380 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 [W928 19:30:48.348013880 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 [W928 19:30:48.348042624 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 [W928 19:30:48.348084041 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 [W928 19:30:48.348097094 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 [W928 19:30:48.348123511 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 [W928 19:30:48.348134954 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 5.34/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.34/1.45 % (2237329)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3033477157:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.34/1.45 % (2237330)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3745231619:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.34/1.45 % (2237311)------------------------------
% 5.34/1.45 % (2237311)------------------------------
% 5.34/1.45 % (2237330)Instruction limit reached!
% 5.34/1.45 % (2237330)------------------------------
% 5.34/1.45 % (2237330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.34/1.45 % (2237330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/1.45 % (2237330)CaDiCaL version: 2.1.3
% 5.34/1.45 % (2237330)Termination reason: Instruction limit
% 5.34/1.45 % (2237330)Termination phase: Saturation
% 5.34/1.45 % (2237330)Time elapsed: 0.106 s
% 5.34/1.45 % (2237330)Peak memory usage: 88 MB
% 5.34/1.45 % (2237330)Instructions burned: 295 (million)
% 5.34/1.45 % (2237329)Instruction limit reached!
% 5.34/1.45 % (2237329)------------------------------
% 5.34/1.45 % (2237329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.34/1.45 % (2237329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/1.45 % (2237329)CaDiCaL version: 2.1.3
% 5.34/1.45 % (2237329)Termination reason: Instruction limit
% 5.34/1.45 % (2237329)Termination phase: Saturation
% 5.34/1.45 % (2237329)Time elapsed: 0.140 s
% 5.34/1.45 % (2237329)Peak memory usage: 91 MB
% 5.34/1.45 % (2237329)Instructions burned: 248 (million)
% 5.34/1.45 % (2237325)Refutation found. Thanks to Tanya!
% 5.34/1.45 % SZS status Theorem for theBenchmark
% 5.34/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 6.16/1.64 % (2237325)------------------------------
% 6.16/1.64 % (2237325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.64 % (2237325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.64 % (2237325)CaDiCaL version: 2.1.3
% 6.16/1.64 % (2237325)Termination reason: Refutation
% 6.16/1.64 % (2237325)Time elapsed: 0.120 s
% 6.16/1.64 % (2237325)Peak memory usage: 91 MB
% 6.16/1.64 % (2237325)Instructions burned: 238 (million)
% 6.16/1.64 % (2237325)------------------------------
% 6.16/1.64 % (2237325)------------------------------
% 6.16/1.64 % (2237304)Success in time 0.789 s
% 6.16/1.64 % Vampire exiting
%------------------------------------------------------------------------------