%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG106+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 09:10:48 AM UTC 2026
% Result : Theorem 5.73s 1.20s
% Output : Refutation 5.73s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( op1(e10,op1(e10,e10)) = e10
| op1(e11,op1(e11,e10)) = e11
| op1(e12,op1(e12,e10)) = e12
| op1(e13,op1(e13,e10)) = e13 )
& ( op1(e10,op1(e10,e11)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e12,op1(e12,e11)) = e12
| op1(e13,op1(e13,e11)) = e13 )
& ( op1(e10,op1(e10,e12)) = e10
| op1(e11,op1(e11,e12)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e13,op1(e13,e12)) = e13 )
& ( op1(e10,op1(e10,e13)) = e10
| op1(e11,op1(e11,e13)) = e11
| op1(e12,op1(e12,e13)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( op2(e20,op2(e20,e20)) = e20
| op2(e21,op2(e21,e20)) = e21
| op2(e22,op2(e22,e20)) = e22
| op2(e23,op2(e23,e20)) = e23 )
& ( op2(e20,op2(e20,e21)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e22,op2(e22,e21)) = e22
| op2(e23,op2(e23,e21)) = e23 )
& ( op2(e20,op2(e20,e22)) = e20
| op2(e21,op2(e21,e22)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e23,op2(e23,e22)) = e23 )
& ( op2(e20,op2(e20,e23)) = e20
| op2(e21,op2(e21,e23)) = e21
| op2(e22,op2(e22,e23)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e10 = op1(op1(e13,op1(e13,e13)),e13)
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(e13,e13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e20 = op2(op2(e23,op2(e23,e23)),e23)
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(e23,e23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e13) = e20
& h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(e20,e20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e13) = e21
& h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(e21,e21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e13) = e22
& h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(e22,e22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e13) = e23
& h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(e23,e23)) ),
file('/export/starexec/sandbox/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/sandbox/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,
( ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ~ sP20 ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ~ sP21 ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ~ sP22 ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ~ sP24 ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ~ sP25 ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ~ sP26 ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f49,plain,
( ( op1(e10,op1(e10,e10)) = e10
| op1(e11,op1(e11,e10)) = e11
| op1(e12,op1(e12,e10)) = e12
| op1(e13,op1(e13,e10)) = e13 )
& ( op1(e10,op1(e10,e11)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e12,op1(e12,e11)) = e12
| op1(e13,op1(e13,e11)) = e13 )
& ( op1(e10,op1(e10,e12)) = e10
| op1(e11,op1(e11,e12)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e13,op1(e13,e12)) = e13 )
& ( op1(e10,op1(e10,e13)) = e10
| op1(e11,op1(e11,e13)) = e11
| op1(e12,op1(e12,e13)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ) ),
inference(definition_folding,[],[f10,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34]) ).
fof(f50,definition,
( ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ~ sP27 ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f51,definition,
( ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ~ sP28 ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f52,definition,
( ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ~ sP29 ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f53,definition,
( ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ~ sP30 ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f54,definition,
( ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ~ sP31 ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ~ sP32 ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ~ sP33 ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ~ sP34 ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f58,definition,
( ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ~ sP35 ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f59,definition,
( ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ~ sP36 ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f60,definition,
( ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ~ sP37 ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f61,definition,
( ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ~ sP38 ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f62,definition,
( ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ~ sP39 ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f63,definition,
( ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ~ sP40 ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f64,definition,
( ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ~ sP41 ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f65,plain,
( ( op2(e20,op2(e20,e20)) = e20
| op2(e21,op2(e21,e20)) = e21
| op2(e22,op2(e22,e20)) = e22
| op2(e23,op2(e23,e20)) = e23 )
& ( op2(e20,op2(e20,e21)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e22,op2(e22,e21)) = e22
| op2(e23,op2(e23,e21)) = e23 )
& ( op2(e20,op2(e20,e22)) = e20
| op2(e21,op2(e21,e22)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e23,op2(e23,e22)) = e23 )
& ( op2(e20,op2(e20,e23)) = e20
| op2(e21,op2(e21,e23)) = e21
| op2(e22,op2(e22,e23)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ) ),
inference(definition_folding,[],[f11,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50]) ).
fof(f72,plain,
( ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f73,plain,
( ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f74,plain,
( ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f78,plain,
( ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f79,plain,
( ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f80,plain,
( ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f81,plain,
( ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f82,plain,
( ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f83,plain,
( ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f84,plain,
( ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f85,plain,
( ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f86,plain,
( ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f87,plain,
( ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ~ sP17 ),
inference(nnf_transformation,[],[f39]) ).
fof(f88,plain,
( ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ~ sP16 ),
inference(nnf_transformation,[],[f38]) ).
fof(f89,plain,
( ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ~ sP15 ),
inference(nnf_transformation,[],[f37]) ).
fof(f90,plain,
( ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f91,plain,
( ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f92,plain,
( ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f93,plain,
( ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ~ sP41 ),
inference(nnf_transformation,[],[f64]) ).
fof(f94,plain,
( ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ~ sP40 ),
inference(nnf_transformation,[],[f63]) ).
fof(f95,plain,
( ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ~ sP39 ),
inference(nnf_transformation,[],[f62]) ).
fof(f96,plain,
( ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ~ sP38 ),
inference(nnf_transformation,[],[f61]) ).
fof(f97,plain,
( ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ~ sP37 ),
inference(nnf_transformation,[],[f60]) ).
fof(f98,plain,
( ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ~ sP36 ),
inference(nnf_transformation,[],[f59]) ).
fof(f99,plain,
( ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ~ sP35 ),
inference(nnf_transformation,[],[f58]) ).
fof(f100,plain,
( ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ~ sP34 ),
inference(nnf_transformation,[],[f57]) ).
fof(f101,plain,
( ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ~ sP33 ),
inference(nnf_transformation,[],[f56]) ).
fof(f102,plain,
( ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ~ sP32 ),
inference(nnf_transformation,[],[f55]) ).
fof(f103,plain,
( ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ~ sP31 ),
inference(nnf_transformation,[],[f54]) ).
fof(f104,plain,
( ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ~ sP30 ),
inference(nnf_transformation,[],[f53]) ).
fof(f105,plain,
( ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ~ sP29 ),
inference(nnf_transformation,[],[f52]) ).
fof(f106,plain,
( ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ~ sP28 ),
inference(nnf_transformation,[],[f51]) ).
fof(f107,plain,
( ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ~ sP27 ),
inference(nnf_transformation,[],[f50]) ).
fof(f134,plain,
( e21 != h3(e11)
| ~ sP5 ),
inference(cnf_transformation,[],[f72]) ).
fof(f136,plain,
( e22 != h3(e13)
| ~ sP4 ),
inference(cnf_transformation,[],[f73]) ).
fof(f141,plain,
( e23 != h3(e12)
| ~ sP3 ),
inference(cnf_transformation,[],[f74]) ).
fof(f163,plain,
( 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)
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f33]) ).
fof(f172,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f173,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f174,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f175,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f176,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f177,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f178,plain,
e12 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f179,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f180,plain,
e10 = op1(op1(e13,op1(e13,e13)),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f181,plain,
( e11 != op1(e13,e13)
| ~ sP26 ),
inference(cnf_transformation,[],[f78]) ).
fof(f188,plain,
( e12 != op1(e12,e12)
| ~ sP25 ),
inference(cnf_transformation,[],[f79]) ).
fof(f190,plain,
( op1(e10,e10) != e12
| ~ sP25 ),
inference(cnf_transformation,[],[f79]) ).
fof(f191,plain,
( e10 = op1(e12,e10)
| ~ sP25 ),
inference(cnf_transformation,[],[f79]) ).
fof(f192,plain,
( e10 = op1(e10,e12)
| ~ sP25 ),
inference(cnf_transformation,[],[f79]) ).
fof(f197,plain,
( e10 = op1(e13,e10)
| ~ sP24 ),
inference(cnf_transformation,[],[f80]) ).
fof(f198,plain,
( e10 = op1(e10,e13)
| ~ sP24 ),
inference(cnf_transformation,[],[f80]) ).
fof(f201,plain,
( e10 != op1(e11,e11)
| ~ sP23 ),
inference(cnf_transformation,[],[f81]) ).
fof(f202,plain,
( e10 != op1(e10,e10)
| ~ sP23 ),
inference(cnf_transformation,[],[f81]) ).
fof(f203,plain,
( e11 = op1(e10,e11)
| ~ sP23 ),
inference(cnf_transformation,[],[f81]) ).
fof(f204,plain,
( e11 = op1(e11,e10)
| ~ sP23 ),
inference(cnf_transformation,[],[f81]) ).
fof(f205,plain,
( e11 != op1(e13,e13)
| ~ sP22 ),
inference(cnf_transformation,[],[f82]) ).
fof(f212,plain,
( e12 != op1(e12,e12)
| ~ sP21 ),
inference(cnf_transformation,[],[f83]) ).
fof(f213,plain,
( e12 != op1(e11,e11)
| ~ sP21 ),
inference(cnf_transformation,[],[f83]) ).
fof(f215,plain,
( e11 = op1(e12,e11)
| ~ sP21 ),
inference(cnf_transformation,[],[f83]) ).
fof(f216,plain,
( e11 = op1(e11,e12)
| ~ sP21 ),
inference(cnf_transformation,[],[f83]) ).
fof(f221,plain,
( e11 = op1(e13,e11)
| ~ sP20 ),
inference(cnf_transformation,[],[f84]) ).
fof(f224,plain,
( e10 != op1(e12,e12)
| ~ sP19 ),
inference(cnf_transformation,[],[f85]) ).
fof(f225,plain,
( e10 != op1(e11,e11)
| ~ sP19 ),
inference(cnf_transformation,[],[f85]) ).
fof(f226,plain,
( e10 != op1(e10,e10)
| ~ sP19 ),
inference(cnf_transformation,[],[f85]) ).
fof(f227,plain,
( e12 = op1(e10,e12)
| ~ sP19 ),
inference(cnf_transformation,[],[f85]) ).
fof(f228,plain,
( e12 = op1(e12,e10)
| ~ sP19 ),
inference(cnf_transformation,[],[f85]) ).
fof(f229,plain,
( e11 != op1(e13,e13)
| ~ sP18 ),
inference(cnf_transformation,[],[f86]) ).
fof(f236,plain,
( e12 != op1(e12,e12)
| ~ sP17 ),
inference(cnf_transformation,[],[f87]) ).
fof(f240,plain,
( e12 = op1(e12,e12)
| ~ sP17 ),
inference(cnf_transformation,[],[f87]) ).
fof(f246,plain,
( e12 = op1(e12,e13)
| ~ sP16 ),
inference(cnf_transformation,[],[f88]) ).
fof(f250,plain,
( e10 != op1(e10,e10)
| ~ sP15 ),
inference(cnf_transformation,[],[f89]) ).
fof(f251,plain,
( e13 = op1(e10,e13)
| ~ sP15 ),
inference(cnf_transformation,[],[f89]) ).
fof(f252,plain,
( e13 = op1(e13,e10)
| ~ sP15 ),
inference(cnf_transformation,[],[f89]) ).
fof(f258,plain,
( e13 = op1(e13,e11)
| ~ sP14 ),
inference(cnf_transformation,[],[f90]) ).
fof(f263,plain,
( e13 = op1(e12,e13)
| ~ sP13 ),
inference(cnf_transformation,[],[f91]) ).
fof(f270,plain,
( e13 = op1(e13,e13)
| ~ sP12 ),
inference(cnf_transformation,[],[f92]) ).
fof(f274,plain,
( e10 != op1(e10,e10)
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f49]) ).
fof(f275,plain,
( e10 = op1(e10,e10)
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f49]) ).
fof(f276,plain,
( e10 = op1(e10,e10)
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f49]) ).
fof(f277,plain,
( e10 = op1(e10,op1(e10,e13))
| e11 = op1(e11,op1(e11,e13))
| e12 = op1(e12,op1(e12,e13))
| e13 = op1(e13,op1(e13,e13)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f278,plain,
( e10 = op1(e10,op1(e10,e12))
| e11 = op1(e11,op1(e11,e12))
| e12 = op1(e12,op1(e12,e12))
| e13 = op1(e13,op1(e13,e12)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f279,plain,
( e10 = op1(e10,op1(e10,e11))
| e11 = op1(e11,op1(e11,e11))
| e12 = op1(e12,op1(e12,e11))
| e13 = op1(e13,op1(e13,e11)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f281,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f284,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f288,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f291,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f298,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f300,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f304,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f313,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f314,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f319,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f320,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f323,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f324,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f327,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f329,plain,
( e13 = op1(e10,e13)
| e13 = op1(e11,e13)
| e13 = op1(e12,e13)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f330,plain,
( e13 = op1(e13,e10)
| e13 = op1(e13,e11)
| e13 = op1(e13,e12)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f331,plain,
( e12 = op1(e10,e13)
| e12 = op1(e11,e13)
| e12 = op1(e12,e13)
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f336,plain,
( e10 = op1(e13,e10)
| e10 = op1(e13,e11)
| e10 = op1(e13,e12)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f337,plain,
( e13 = op1(e10,e12)
| e13 = op1(e11,e12)
| e13 = op1(e12,e12)
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f338,plain,
( e13 = op1(e12,e10)
| e13 = op1(e12,e11)
| e13 = op1(e12,e12)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f339,plain,
( e12 = op1(e10,e12)
| e12 = op1(e11,e12)
| e12 = op1(e12,e12)
| e12 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f340,plain,
( e12 = op1(e12,e10)
| e12 = op1(e12,e11)
| e12 = op1(e12,e12)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f341,plain,
( e11 = op1(e10,e12)
| e11 = op1(e11,e12)
| e11 = op1(e12,e12)
| e11 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f342,plain,
( e11 = op1(e12,e10)
| e11 = op1(e12,e11)
| e11 = op1(e12,e12)
| e11 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f343,plain,
( e10 = op1(e10,e12)
| e10 = op1(e11,e12)
| e10 = op1(e12,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f345,plain,
( e13 = op1(e10,e11)
| e13 = op1(e11,e11)
| e13 = op1(e12,e11)
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f346,plain,
( e13 = op1(e11,e10)
| e13 = op1(e11,e11)
| e13 = op1(e11,e12)
| e13 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f348,plain,
( e12 = op1(e11,e10)
| e12 = op1(e11,e11)
| e12 = op1(e11,e12)
| e12 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f349,plain,
( e11 = op1(e10,e11)
| e11 = op1(e11,e11)
| e11 = op1(e12,e11)
| e11 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f351,plain,
( e10 = op1(e10,e11)
| e10 = op1(e11,e11)
| e10 = op1(e12,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f354,plain,
( op1(e10,e10) = e13
| e13 = op1(e10,e11)
| e13 = op1(e10,e12)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f355,plain,
( op1(e10,e10) = e12
| e12 = op1(e11,e10)
| e12 = op1(e12,e10)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f356,plain,
( op1(e10,e10) = e12
| e12 = op1(e10,e11)
| e12 = op1(e10,e12)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f357,plain,
( op1(e10,e10) = e11
| e11 = op1(e11,e10)
| e11 = op1(e12,e10)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f359,plain,
( e10 = op1(e10,e10)
| e10 = op1(e11,e10)
| e10 = op1(e12,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f360,plain,
( e10 = op1(e10,e10)
| e10 = op1(e10,e11)
| e10 = op1(e10,e12)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f377,plain,
e22 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f378,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f379,plain,
e20 = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f380,plain,
( e21 != op2(e23,e23)
| ~ sP41 ),
inference(cnf_transformation,[],[f93]) ).
fof(f390,plain,
( e20 = op2(e22,e20)
| ~ sP40 ),
inference(cnf_transformation,[],[f94]) ).
fof(f391,plain,
( e20 = op2(e20,e22)
| ~ sP40 ),
inference(cnf_transformation,[],[f94]) ).
fof(f394,plain,
( e23 != op2(e21,e21)
| ~ sP39 ),
inference(cnf_transformation,[],[f95]) ).
fof(f395,plain,
( op2(e20,e20) != e23
| ~ sP39 ),
inference(cnf_transformation,[],[f95]) ).
fof(f396,plain,
( e20 = op2(e23,e20)
| ~ sP39 ),
inference(cnf_transformation,[],[f95]) ).
fof(f397,plain,
( e20 = op2(e20,e23)
| ~ sP39 ),
inference(cnf_transformation,[],[f95]) ).
fof(f400,plain,
( e20 != op2(e21,e21)
| ~ sP38 ),
inference(cnf_transformation,[],[f96]) ).
fof(f401,plain,
( e20 != op2(e20,e20)
| ~ sP38 ),
inference(cnf_transformation,[],[f96]) ).
fof(f402,plain,
( e21 = op2(e20,e21)
| ~ sP38 ),
inference(cnf_transformation,[],[f96]) ).
fof(f403,plain,
( e21 = op2(e21,e20)
| ~ sP38 ),
inference(cnf_transformation,[],[f96]) ).
fof(f404,plain,
( e21 != op2(e23,e23)
| ~ sP37 ),
inference(cnf_transformation,[],[f97]) ).
fof(f411,plain,
( e22 != op2(e22,e22)
| ~ sP36 ),
inference(cnf_transformation,[],[f98]) ).
fof(f413,plain,
( op2(e20,e20) != e22
| ~ sP36 ),
inference(cnf_transformation,[],[f98]) ).
fof(f414,plain,
( e21 = op2(e22,e21)
| ~ sP36 ),
inference(cnf_transformation,[],[f98]) ).
fof(f415,plain,
( e21 = op2(e21,e22)
| ~ sP36 ),
inference(cnf_transformation,[],[f98]) ).
fof(f421,plain,
( e21 = op2(e21,e23)
| ~ sP35 ),
inference(cnf_transformation,[],[f99]) ).
fof(f423,plain,
( e20 != op2(e22,e22)
| ~ sP34 ),
inference(cnf_transformation,[],[f100]) ).
fof(f424,plain,
( e20 != op2(e21,e21)
| ~ sP34 ),
inference(cnf_transformation,[],[f100]) ).
fof(f425,plain,
( e20 != op2(e20,e20)
| ~ sP34 ),
inference(cnf_transformation,[],[f100]) ).
fof(f426,plain,
( e22 = op2(e20,e22)
| ~ sP34 ),
inference(cnf_transformation,[],[f100]) ).
fof(f427,plain,
( e22 = op2(e22,e20)
| ~ sP34 ),
inference(cnf_transformation,[],[f100]) ).
fof(f428,plain,
( e21 != op2(e23,e23)
| ~ sP33 ),
inference(cnf_transformation,[],[f101]) ).
fof(f435,plain,
( e22 != op2(e22,e22)
| ~ sP32 ),
inference(cnf_transformation,[],[f102]) ).
fof(f439,plain,
( e22 = op2(e22,e22)
| ~ sP32 ),
inference(cnf_transformation,[],[f102]) ).
fof(f444,plain,
( e22 = op2(e23,e22)
| ~ sP31 ),
inference(cnf_transformation,[],[f103]) ).
fof(f448,plain,
( e20 != op2(e21,e21)
| ~ sP30 ),
inference(cnf_transformation,[],[f104]) ).
fof(f449,plain,
( e20 != op2(e20,e20)
| ~ sP30 ),
inference(cnf_transformation,[],[f104]) ).
fof(f450,plain,
( e23 = op2(e20,e23)
| ~ sP30 ),
inference(cnf_transformation,[],[f104]) ).
fof(f451,plain,
( e23 = op2(e23,e20)
| ~ sP30 ),
inference(cnf_transformation,[],[f104]) ).
fof(f452,plain,
( e21 != op2(e23,e23)
| ~ sP29 ),
inference(cnf_transformation,[],[f105]) ).
fof(f459,plain,
( e22 != op2(e22,e22)
| ~ sP28 ),
inference(cnf_transformation,[],[f106]) ).
fof(f462,plain,
( e23 = op2(e22,e23)
| ~ sP28 ),
inference(cnf_transformation,[],[f106]) ).
fof(f463,plain,
( e23 = op2(e23,e22)
| ~ sP28 ),
inference(cnf_transformation,[],[f106]) ).
fof(f469,plain,
( e23 = op2(e23,e23)
| ~ sP27 ),
inference(cnf_transformation,[],[f107]) ).
fof(f471,plain,
( e20 != op2(e22,e22)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(cnf_transformation,[],[f65]) ).
fof(f472,plain,
( e20 != op2(e21,e21)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(cnf_transformation,[],[f65]) ).
fof(f473,plain,
( e20 != op2(e20,e20)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(cnf_transformation,[],[f65]) ).
fof(f475,plain,
( e20 = op2(e20,e20)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(cnf_transformation,[],[f65]) ).
fof(f476,plain,
( e20 = op2(e20,op2(e20,e23))
| e21 = op2(e21,op2(e21,e23))
| e22 = op2(e22,op2(e22,e23))
| e23 = op2(e23,op2(e23,e23)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f477,plain,
( e20 = op2(e20,op2(e20,e22))
| e21 = op2(e21,op2(e21,e22))
| e22 = op2(e22,op2(e22,e22))
| e23 = op2(e23,op2(e23,e22)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f478,plain,
( e20 = op2(e20,op2(e20,e21))
| e21 = op2(e21,op2(e21,e21))
| e22 = op2(e22,op2(e22,e21))
| e23 = op2(e23,op2(e23,e21)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f479,plain,
( e20 = op2(e20,op2(e20,e20))
| e21 = op2(e21,op2(e21,e20))
| e22 = op2(e22,op2(e22,e20))
| e23 = op2(e23,op2(e23,e20)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f496,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f497,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f498,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f499,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f500,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f501,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f503,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f506,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f508,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f509,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f510,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f512,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f513,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f514,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f515,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f516,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f517,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f518,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f519,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f520,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f521,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f523,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f524,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f525,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f527,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f528,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f530,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f531,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f532,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f533,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f534,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f535,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f536,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f537,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f538,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f539,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f540,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f542,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f543,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f544,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f545,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f546,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f548,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f549,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f550,plain,
( e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f551,plain,
( e23 = op2(e23,e20)
| e23 = op2(e23,e21)
| e23 = op2(e23,e22)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f552,plain,
( e22 = op2(e20,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23)
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f556,plain,
( e20 = op2(e20,e23)
| e20 = op2(e21,e23)
| e20 = op2(e22,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f557,plain,
( e20 = op2(e23,e20)
| e20 = op2(e23,e21)
| e20 = op2(e23,e22)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f558,plain,
( e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e22,e22)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f559,plain,
( e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e22)
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f560,plain,
( e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e22,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f561,plain,
( e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e22)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f562,plain,
( e21 = op2(e20,e22)
| e21 = op2(e21,e22)
| e21 = op2(e22,e22)
| e21 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f563,plain,
( e21 = op2(e22,e20)
| e21 = op2(e22,e21)
| e21 = op2(e22,e22)
| e21 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f564,plain,
( e20 = op2(e20,e22)
| e20 = op2(e21,e22)
| e20 = op2(e22,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f565,plain,
( e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e22)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f566,plain,
( e23 = op2(e20,e21)
| e23 = op2(e21,e21)
| e23 = op2(e22,e21)
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f567,plain,
( e23 = op2(e21,e20)
| e23 = op2(e21,e21)
| e23 = op2(e21,e22)
| e23 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f569,plain,
( e22 = op2(e21,e20)
| e22 = op2(e21,e21)
| e22 = op2(e21,e22)
| e22 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f570,plain,
( e21 = op2(e20,e21)
| e21 = op2(e21,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f571,plain,
( e21 = op2(e21,e20)
| e21 = op2(e21,e21)
| e21 = op2(e21,e22)
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f572,plain,
( e20 = op2(e20,e21)
| e20 = op2(e21,e21)
| e20 = op2(e22,e21)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f573,plain,
( e20 = op2(e21,e20)
| e20 = op2(e21,e21)
| e20 = op2(e21,e22)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f575,plain,
( op2(e20,e20) = e23
| e23 = op2(e20,e21)
| e23 = op2(e20,e22)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f576,plain,
( op2(e20,e20) = e22
| e22 = op2(e21,e20)
| e22 = op2(e22,e20)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f577,plain,
( op2(e20,e20) = e22
| e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f578,plain,
( op2(e20,e20) = e21
| e21 = op2(e21,e20)
| e21 = op2(e22,e20)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f579,plain,
( op2(e20,e20) = e21
| e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f580,plain,
( e20 = op2(e20,e20)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f581,plain,
( e20 = op2(e20,e20)
| e20 = op2(e20,e21)
| e20 = op2(e20,e22)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f587,plain,
( e20 = op2(e22,e22)
| e21 = op2(e22,e22)
| e22 = op2(e22,e22)
| e23 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f588,plain,
( e20 = op2(e22,e21)
| e21 = op2(e22,e21)
| e22 = op2(e22,e21)
| e23 = op2(e22,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f591,plain,
( e20 = op2(e21,e22)
| e21 = op2(e21,e22)
| e22 = op2(e21,e22)
| e23 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f592,plain,
( e20 = op2(e21,e21)
| e21 = op2(e21,e21)
| e22 = op2(e21,e21)
| e23 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f593,plain,
( e20 = op2(e21,e20)
| e21 = op2(e21,e20)
| e22 = op2(e21,e20)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f594,plain,
( e20 = op2(e20,e23)
| e21 = op2(e20,e23)
| e22 = op2(e20,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f595,plain,
( e20 = op2(e20,e22)
| e21 = op2(e20,e22)
| e22 = op2(e20,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f597,plain,
( e20 = op2(e20,e20)
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f3]) ).
fof(f598,plain,
op2(e20,op2(e20,e20)) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f599,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f600,plain,
h1(e10) = op2(op2(e20,op2(e20,e20)),e20),
inference(cnf_transformation,[],[f14]) ).
fof(f602,plain,
op2(e21,op2(e21,e21)) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f603,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f606,plain,
op2(e22,op2(e22,e22)) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f607,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f608,plain,
h3(e10) = op2(op2(e22,op2(e22,e22)),e22),
inference(cnf_transformation,[],[f16]) ).
fof(f609,plain,
e22 = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f610,plain,
op2(e23,op2(e23,e23)) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f611,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f615,plain,
h3(e10) = op2(h3(e12),e22),
inference(forward_demodulation,[],[f608,f606]) ).
fof(f617,plain,
h1(e10) = op2(h1(e12),e20),
inference(forward_demodulation,[],[f600,f598]) ).
fof(f620,definition,
( spl42_1
<=> e23 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl42_1])],[avatar_definition]) ).
fof(f621,plain,
( e23 != op2(e23,e22)
| spl42_1 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f622,plain,
( e23 = op2(e23,e22)
| ~ spl42_1 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f624,definition,
( spl42_2
<=> e22 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl42_2])],[avatar_definition]) ).
fof(f626,plain,
( e22 = op2(e23,e22)
| ~ spl42_2 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f628,definition,
( spl42_3
<=> e21 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl42_3])],[avatar_definition]) ).
fof(f630,plain,
( e21 = op2(e23,e22)
| ~ spl42_3 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f632,definition,
( spl42_4
<=> e20 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl42_4])],[avatar_definition]) ).
fof(f634,plain,
( e20 = op2(e23,e22)
| ~ spl42_4 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f637,definition,
( spl42_5
<=> e23 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl42_5])],[avatar_definition]) ).
fof(f639,plain,
( e23 = op2(e23,e21)
| ~ spl42_5 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f641,definition,
( spl42_6
<=> e22 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl42_6])],[avatar_definition]) ).
fof(f642,plain,
( e22 != op2(e23,e21)
| spl42_6 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f643,plain,
( e22 = op2(e23,e21)
| ~ spl42_6 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f645,definition,
( spl42_7
<=> e21 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl42_7])],[avatar_definition]) ).
fof(f647,plain,
( e21 = op2(e23,e21)
| ~ spl42_7 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f649,definition,
( spl42_8
<=> e20 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl42_8])],[avatar_definition]) ).
fof(f651,plain,
( e20 = op2(e23,e21)
| ~ spl42_8 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f654,definition,
( spl42_9
<=> e23 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl42_9])],[avatar_definition]) ).
fof(f655,plain,
( e23 != op2(e23,e20)
| spl42_9 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f656,plain,
( e23 = op2(e23,e20)
| ~ spl42_9 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f658,definition,
( spl42_10
<=> e22 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl42_10])],[avatar_definition]) ).
fof(f660,plain,
( e22 = op2(e23,e20)
| ~ spl42_10 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f662,definition,
( spl42_11
<=> e21 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl42_11])],[avatar_definition]) ).
fof(f664,plain,
( e21 = op2(e23,e20)
| ~ spl42_11 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f666,definition,
( spl42_12
<=> e20 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl42_12])],[avatar_definition]) ).
fof(f668,plain,
( e20 = op2(e23,e20)
| ~ spl42_12 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f671,definition,
( spl42_13
<=> e23 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl42_13])],[avatar_definition]) ).
fof(f673,plain,
( e23 = op2(e22,e23)
| ~ spl42_13 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f675,definition,
( spl42_14
<=> e22 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl42_14])],[avatar_definition]) ).
fof(f676,plain,
( e22 != op2(e22,e23)
| spl42_14 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f677,plain,
( e22 = op2(e22,e23)
| ~ spl42_14 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f679,definition,
( spl42_15
<=> e21 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl42_15])],[avatar_definition]) ).
fof(f681,plain,
( e21 = op2(e22,e23)
| ~ spl42_15 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f683,definition,
( spl42_16
<=> e20 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl42_16])],[avatar_definition]) ).
fof(f685,plain,
( e20 = op2(e22,e23)
| ~ spl42_16 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f687,plain,
( e20 = h3(e11)
| e21 = op2(e22,e22)
| e22 = op2(e22,e22)
| e23 = op2(e22,e22) ),
inference(forward_demodulation,[],[f587,f607]) ).
fof(f689,definition,
( spl42_17
<=> e23 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl42_17])],[avatar_definition]) ).
fof(f691,plain,
( e23 = op2(e22,e21)
| ~ spl42_17 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f693,definition,
( spl42_18
<=> e22 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl42_18])],[avatar_definition]) ).
fof(f694,plain,
( e22 != op2(e22,e21)
| spl42_18 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f695,plain,
( e22 = op2(e22,e21)
| ~ spl42_18 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f697,definition,
( spl42_19
<=> e21 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl42_19])],[avatar_definition]) ).
fof(f699,plain,
( e21 = op2(e22,e21)
| ~ spl42_19 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f701,definition,
( spl42_20
<=> e20 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl42_20])],[avatar_definition]) ).
fof(f703,plain,
( e20 = op2(e22,e21)
| ~ spl42_20 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f704,plain,
( spl42_17
| spl42_18
| spl42_19
| spl42_20 ),
inference(avatar_split_clause,[],[f588,f701,f697,f693,f689]) ).
fof(f706,definition,
( spl42_21
<=> e23 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl42_21])],[avatar_definition]) ).
fof(f708,plain,
( e23 = op2(e22,e20)
| ~ spl42_21 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f710,definition,
( spl42_22
<=> e22 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl42_22])],[avatar_definition]) ).
fof(f712,plain,
( e22 = op2(e22,e20)
| ~ spl42_22 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f714,definition,
( spl42_23
<=> e21 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl42_23])],[avatar_definition]) ).
fof(f716,plain,
( e21 = op2(e22,e20)
| ~ spl42_23 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f718,definition,
( spl42_24
<=> e20 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl42_24])],[avatar_definition]) ).
fof(f720,plain,
( e20 = op2(e22,e20)
| ~ spl42_24 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f723,definition,
( spl42_25
<=> e23 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl42_25])],[avatar_definition]) ).
fof(f725,plain,
( e23 = op2(e21,e23)
| ~ spl42_25 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f727,definition,
( spl42_26
<=> e22 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl42_26])],[avatar_definition]) ).
fof(f729,plain,
( e22 = op2(e21,e23)
| ~ spl42_26 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f731,definition,
( spl42_27
<=> e21 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl42_27])],[avatar_definition]) ).
fof(f733,plain,
( e21 = op2(e21,e23)
| ~ spl42_27 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f735,definition,
( spl42_28
<=> e20 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl42_28])],[avatar_definition]) ).
fof(f737,plain,
( e20 = op2(e21,e23)
| ~ spl42_28 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f740,definition,
( spl42_29
<=> e23 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl42_29])],[avatar_definition]) ).
fof(f742,plain,
( e23 = op2(e21,e22)
| ~ spl42_29 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f744,definition,
( spl42_30
<=> e22 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl42_30])],[avatar_definition]) ).
fof(f746,plain,
( e22 = op2(e21,e22)
| ~ spl42_30 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f748,definition,
( spl42_31
<=> e21 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl42_31])],[avatar_definition]) ).
fof(f749,plain,
( e21 != op2(e21,e22)
| spl42_31 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f750,plain,
( e21 = op2(e21,e22)
| ~ spl42_31 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f752,definition,
( spl42_32
<=> e20 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl42_32])],[avatar_definition]) ).
fof(f754,plain,
( e20 = op2(e21,e22)
| ~ spl42_32 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f755,plain,
( spl42_29
| spl42_30
| spl42_31
| spl42_32 ),
inference(avatar_split_clause,[],[f591,f752,f748,f744,f740]) ).
fof(f756,plain,
( e20 = h2(e11)
| e21 = op2(e21,e21)
| e22 = op2(e21,e21)
| e23 = op2(e21,e21) ),
inference(forward_demodulation,[],[f592,f603]) ).
fof(f758,definition,
( spl42_33
<=> e23 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl42_33])],[avatar_definition]) ).
fof(f760,plain,
( e23 = op2(e21,e20)
| ~ spl42_33 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f762,definition,
( spl42_34
<=> e22 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl42_34])],[avatar_definition]) ).
fof(f764,plain,
( e22 = op2(e21,e20)
| ~ spl42_34 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f766,definition,
( spl42_35
<=> e21 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl42_35])],[avatar_definition]) ).
fof(f767,plain,
( e21 != op2(e21,e20)
| spl42_35 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f768,plain,
( e21 = op2(e21,e20)
| ~ spl42_35 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f770,definition,
( spl42_36
<=> e20 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl42_36])],[avatar_definition]) ).
fof(f772,plain,
( e20 = op2(e21,e20)
| ~ spl42_36 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f773,plain,
( spl42_33
| spl42_34
| spl42_35
| spl42_36 ),
inference(avatar_split_clause,[],[f593,f770,f766,f762,f758]) ).
fof(f775,definition,
( spl42_37
<=> e23 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl42_37])],[avatar_definition]) ).
fof(f777,plain,
( e23 = op2(e20,e23)
| ~ spl42_37 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f779,definition,
( spl42_38
<=> e22 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl42_38])],[avatar_definition]) ).
fof(f781,plain,
( e22 = op2(e20,e23)
| ~ spl42_38 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f783,definition,
( spl42_39
<=> e21 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl42_39])],[avatar_definition]) ).
fof(f785,plain,
( e21 = op2(e20,e23)
| ~ spl42_39 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f787,definition,
( spl42_40
<=> e20 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl42_40])],[avatar_definition]) ).
fof(f789,plain,
( e20 = op2(e20,e23)
| ~ spl42_40 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f790,plain,
( spl42_37
| spl42_38
| spl42_39
| spl42_40 ),
inference(avatar_split_clause,[],[f594,f787,f783,f779,f775]) ).
fof(f792,definition,
( spl42_41
<=> e23 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl42_41])],[avatar_definition]) ).
fof(f794,plain,
( e23 = op2(e20,e22)
| ~ spl42_41 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f796,definition,
( spl42_42
<=> e22 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl42_42])],[avatar_definition]) ).
fof(f798,plain,
( e22 = op2(e20,e22)
| ~ spl42_42 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f800,definition,
( spl42_43
<=> e21 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl42_43])],[avatar_definition]) ).
fof(f802,plain,
( e21 = op2(e20,e22)
| ~ spl42_43 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f804,definition,
( spl42_44
<=> e20 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl42_44])],[avatar_definition]) ).
fof(f805,plain,
( e20 != op2(e20,e22)
| spl42_44 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f806,plain,
( e20 = op2(e20,e22)
| ~ spl42_44 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f807,plain,
( spl42_41
| spl42_42
| spl42_43
| spl42_44 ),
inference(avatar_split_clause,[],[f595,f804,f800,f796,f792]) ).
fof(f809,definition,
( spl42_45
<=> e23 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl42_45])],[avatar_definition]) ).
fof(f811,plain,
( e23 = op2(e20,e21)
| ~ spl42_45 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f813,definition,
( spl42_46
<=> e22 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl42_46])],[avatar_definition]) ).
fof(f815,plain,
( e22 = op2(e20,e21)
| ~ spl42_46 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f817,definition,
( spl42_47
<=> e21 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl42_47])],[avatar_definition]) ).
fof(f819,plain,
( e21 = op2(e20,e21)
| ~ spl42_47 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f821,definition,
( spl42_48
<=> e20 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl42_48])],[avatar_definition]) ).
fof(f823,plain,
( e20 = op2(e20,e21)
| ~ spl42_48 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f825,plain,
( e20 = h1(e11)
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[],[f597,f599]) ).
fof(f826,plain,
( e23 = h4(e11)
| e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23) ),
inference(forward_demodulation,[],[f550,f611]) ).
fof(f827,plain,
( e23 = h4(e11)
| e23 = op2(e23,e20)
| e23 = op2(e23,e21)
| e23 = op2(e23,e22) ),
inference(forward_demodulation,[],[f551,f611]) ).
fof(f828,plain,
( e22 = h4(e11)
| e22 = op2(e20,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23) ),
inference(forward_demodulation,[],[f552,f611]) ).
fof(f832,plain,
( e20 = h4(e11)
| e20 = op2(e20,e23)
| e20 = op2(e21,e23)
| e20 = op2(e22,e23) ),
inference(forward_demodulation,[],[f556,f611]) ).
fof(f833,plain,
( e20 = h4(e11)
| e20 = op2(e23,e20)
| e20 = op2(e23,e21)
| e20 = op2(e23,e22) ),
inference(forward_demodulation,[],[f557,f611]) ).
fof(f834,plain,
( e23 = h3(e11)
| e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e23,e22) ),
inference(forward_demodulation,[],[f558,f607]) ).
fof(f835,plain,
( e23 = h3(e11)
| e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e23) ),
inference(forward_demodulation,[],[f559,f607]) ).
fof(f836,plain,
( e22 = h3(e11)
| e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e23,e22) ),
inference(forward_demodulation,[],[f560,f607]) ).
fof(f837,plain,
( e22 = h3(e11)
| e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e23) ),
inference(forward_demodulation,[],[f561,f607]) ).
fof(f838,plain,
( e21 = h3(e11)
| e21 = op2(e20,e22)
| e21 = op2(e21,e22)
| e21 = op2(e23,e22) ),
inference(forward_demodulation,[],[f562,f607]) ).
fof(f839,plain,
( e21 = h3(e11)
| e21 = op2(e22,e20)
| e21 = op2(e22,e21)
| e21 = op2(e22,e23) ),
inference(forward_demodulation,[],[f563,f607]) ).
fof(f840,plain,
( e20 = h3(e11)
| e20 = op2(e20,e22)
| e20 = op2(e21,e22)
| e20 = op2(e23,e22) ),
inference(forward_demodulation,[],[f564,f607]) ).
fof(f841,plain,
( e20 = h3(e11)
| e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e23) ),
inference(forward_demodulation,[],[f565,f607]) ).
fof(f842,plain,
( e23 = h2(e11)
| e23 = op2(e20,e21)
| e23 = op2(e22,e21)
| e23 = op2(e23,e21) ),
inference(forward_demodulation,[],[f566,f603]) ).
fof(f843,plain,
( e23 = h2(e11)
| e23 = op2(e21,e20)
| e23 = op2(e21,e22)
| e23 = op2(e21,e23) ),
inference(forward_demodulation,[],[f567,f603]) ).
fof(f845,plain,
( e22 = h2(e11)
| e22 = op2(e21,e20)
| e22 = op2(e21,e22)
| e22 = op2(e21,e23) ),
inference(forward_demodulation,[],[f569,f603]) ).
fof(f846,plain,
( e21 = h2(e11)
| e21 = op2(e20,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) ),
inference(forward_demodulation,[],[f570,f603]) ).
fof(f847,plain,
( e21 = h2(e11)
| e21 = op2(e21,e20)
| e21 = op2(e21,e22)
| e21 = op2(e21,e23) ),
inference(forward_demodulation,[],[f571,f603]) ).
fof(f848,plain,
( e20 = h2(e11)
| e20 = op2(e20,e21)
| e20 = op2(e22,e21)
| e20 = op2(e23,e21) ),
inference(forward_demodulation,[],[f572,f603]) ).
fof(f849,plain,
( e20 = h2(e11)
| e20 = op2(e21,e20)
| e20 = op2(e21,e22)
| e20 = op2(e21,e23) ),
inference(forward_demodulation,[],[f573,f603]) ).
fof(f851,plain,
( e23 = h1(e11)
| e23 = op2(e20,e21)
| e23 = op2(e20,e22)
| e23 = op2(e20,e23) ),
inference(forward_demodulation,[],[f575,f599]) ).
fof(f852,plain,
( e22 = h1(e11)
| e22 = op2(e21,e20)
| e22 = op2(e22,e20)
| e22 = op2(e23,e20) ),
inference(forward_demodulation,[],[f576,f599]) ).
fof(f853,plain,
( e22 = h1(e11)
| e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| e22 = op2(e20,e23) ),
inference(forward_demodulation,[],[f577,f599]) ).
fof(f854,plain,
( e21 = h1(e11)
| e21 = op2(e21,e20)
| e21 = op2(e22,e20)
| e21 = op2(e23,e20) ),
inference(forward_demodulation,[],[f578,f599]) ).
fof(f855,plain,
( e21 = h1(e11)
| e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| e21 = op2(e20,e23) ),
inference(forward_demodulation,[],[f579,f599]) ).
fof(f856,plain,
( e20 = h1(e11)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) ),
inference(forward_demodulation,[],[f580,f599]) ).
fof(f857,plain,
( e20 = h1(e11)
| e20 = op2(e20,e21)
| e20 = op2(e20,e22)
| e20 = op2(e20,e23) ),
inference(forward_demodulation,[],[f581,f599]) ).
fof(f859,plain,
op2(e23,e21) != h4(e11),
inference(forward_demodulation,[],[f503,f611]) ).
fof(f861,plain,
op2(e22,e23) != h3(e11),
inference(forward_demodulation,[],[f508,f607]) ).
fof(f862,plain,
op2(e22,e21) != h3(e11),
inference(forward_demodulation,[],[f510,f607]) ).
fof(f863,plain,
op2(e22,e20) != h3(e11),
inference(forward_demodulation,[],[f512,f607]) ).
fof(f864,plain,
op2(e21,e23) != h2(e11),
inference(forward_demodulation,[],[f515,f603]) ).
fof(f865,plain,
op2(e21,e22) != h2(e11),
inference(forward_demodulation,[],[f516,f603]) ).
fof(f866,plain,
op2(e21,e20) != h2(e11),
inference(forward_demodulation,[],[f519,f603]) ).
fof(f867,plain,
op2(e20,e23) != h1(e11),
inference(forward_demodulation,[],[f523,f599]) ).
fof(f868,plain,
op2(e20,e22) != h1(e11),
inference(forward_demodulation,[],[f524,f599]) ).
fof(f869,plain,
op2(e20,e21) != h1(e11),
inference(forward_demodulation,[],[f525,f599]) ).
fof(f871,plain,
op2(e21,e23) != h4(e11),
inference(forward_demodulation,[],[f527,f611]) ).
fof(f873,plain,
op2(e23,e22) != h3(e11),
inference(forward_demodulation,[],[f532,f607]) ).
fof(f874,plain,
op2(e21,e22) != h3(e11),
inference(forward_demodulation,[],[f534,f607]) ).
fof(f875,plain,
op2(e20,e22) != h3(e11),
inference(forward_demodulation,[],[f536,f607]) ).
fof(f876,plain,
op2(e23,e21) != h2(e11),
inference(forward_demodulation,[],[f539,f603]) ).
fof(f877,plain,
op2(e22,e21) != h2(e11),
inference(forward_demodulation,[],[f540,f603]) ).
fof(f878,plain,
op2(e20,e21) != h2(e11),
inference(forward_demodulation,[],[f543,f603]) ).
fof(f880,plain,
op2(e22,e20) != h1(e11),
inference(forward_demodulation,[],[f548,f599]) ).
fof(f881,plain,
op2(e21,e20) != h1(e11),
inference(forward_demodulation,[],[f549,f599]) ).
fof(f883,plain,
( e20 != h3(e11)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(forward_demodulation,[],[f471,f607]) ).
fof(f884,plain,
( e20 != h2(e11)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(forward_demodulation,[],[f472,f603]) ).
fof(f885,plain,
( e20 != h1(e11)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(forward_demodulation,[],[f473,f599]) ).
fof(f887,plain,
( e20 = h1(e11)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(forward_demodulation,[],[f475,f599]) ).
fof(f888,plain,
( e23 = h4(e12)
| e20 = op2(e20,op2(e20,e23))
| e21 = op2(e21,op2(e21,e23))
| e22 = op2(e22,op2(e22,e23)) ),
inference(forward_demodulation,[],[f476,f610]) ).
fof(f889,plain,
( e22 = h3(e12)
| e20 = op2(e20,op2(e20,e22))
| e21 = op2(e21,op2(e21,e22))
| e23 = op2(e23,op2(e23,e22)) ),
inference(forward_demodulation,[],[f477,f606]) ).
fof(f890,plain,
( e21 = h2(e12)
| e20 = op2(e20,op2(e20,e21))
| e22 = op2(e22,op2(e22,e21))
| e23 = op2(e23,op2(e23,e21)) ),
inference(forward_demodulation,[],[f478,f602]) ).
fof(f891,plain,
( e20 = h1(e12)
| e21 = op2(e21,op2(e21,e20))
| e22 = op2(e22,op2(e22,e20))
| e23 = op2(e23,op2(e23,e20)) ),
inference(forward_demodulation,[],[f479,f598]) ).
fof(f897,plain,
( e23 = h4(e11)
| ~ sP27 ),
inference(forward_demodulation,[],[f469,f611]) ).
fof(f899,plain,
( e22 != h3(e11)
| ~ sP28 ),
inference(forward_demodulation,[],[f459,f607]) ).
fof(f903,definition,
( spl42_49
<=> sP28 ),
introduced(definition,[new_symbols(definition,[spl42_49])],[avatar_definition]) ).
fof(f906,plain,
( ~ spl42_49
| spl42_13 ),
inference(avatar_split_clause,[],[f462,f671,f903]) ).
fof(f907,plain,
( ~ spl42_49
| spl42_1 ),
inference(avatar_split_clause,[],[f463,f620,f903]) ).
fof(f908,plain,
( e21 != h4(e11)
| ~ sP29 ),
inference(forward_demodulation,[],[f452,f611]) ).
fof(f913,definition,
( spl42_50
<=> sP29 ),
introduced(definition,[new_symbols(definition,[spl42_50])],[avatar_definition]) ).
fof(f920,plain,
( e20 != h2(e11)
| ~ sP30 ),
inference(forward_demodulation,[],[f448,f603]) ).
fof(f921,plain,
( e20 != h1(e11)
| ~ sP30 ),
inference(forward_demodulation,[],[f449,f599]) ).
fof(f923,definition,
( spl42_51
<=> sP30 ),
introduced(definition,[new_symbols(definition,[spl42_51])],[avatar_definition]) ).
fof(f926,plain,
( ~ spl42_51
| spl42_37 ),
inference(avatar_split_clause,[],[f450,f775,f923]) ).
fof(f927,plain,
( ~ spl42_51
| spl42_9 ),
inference(avatar_split_clause,[],[f451,f654,f923]) ).
fof(f933,definition,
( spl42_52
<=> sP31 ),
introduced(definition,[new_symbols(definition,[spl42_52])],[avatar_definition]) ).
fof(f936,plain,
( ~ spl42_52
| spl42_2 ),
inference(avatar_split_clause,[],[f444,f624,f933]) ).
fof(f939,plain,
( e22 != h3(e11)
| ~ sP32 ),
inference(forward_demodulation,[],[f435,f607]) ).
fof(f943,plain,
( e22 = h3(e11)
| ~ sP32 ),
inference(forward_demodulation,[],[f439,f607]) ).
fof(f944,plain,
( e21 != h4(e11)
| ~ sP33 ),
inference(forward_demodulation,[],[f428,f611]) ).
fof(f949,definition,
( spl42_53
<=> sP33 ),
introduced(definition,[new_symbols(definition,[spl42_53])],[avatar_definition]) ).
fof(f955,plain,
( e20 != h3(e11)
| ~ sP34 ),
inference(forward_demodulation,[],[f423,f607]) ).
fof(f956,plain,
( e20 != h2(e11)
| ~ sP34 ),
inference(forward_demodulation,[],[f424,f603]) ).
fof(f957,plain,
( e20 != h1(e11)
| ~ sP34 ),
inference(forward_demodulation,[],[f425,f599]) ).
fof(f959,definition,
( spl42_54
<=> sP34 ),
introduced(definition,[new_symbols(definition,[spl42_54])],[avatar_definition]) ).
fof(f962,plain,
( ~ spl42_54
| spl42_42 ),
inference(avatar_split_clause,[],[f426,f796,f959]) ).
fof(f963,plain,
( ~ spl42_54
| spl42_22 ),
inference(avatar_split_clause,[],[f427,f710,f959]) ).
fof(f969,definition,
( spl42_55
<=> sP35 ),
introduced(definition,[new_symbols(definition,[spl42_55])],[avatar_definition]) ).
fof(f973,plain,
( ~ spl42_55
| spl42_27 ),
inference(avatar_split_clause,[],[f421,f731,f969]) ).
fof(f975,plain,
( e22 != h3(e11)
| ~ sP36 ),
inference(forward_demodulation,[],[f411,f607]) ).
fof(f977,plain,
( e22 != h1(e11)
| ~ sP36 ),
inference(forward_demodulation,[],[f413,f599]) ).
fof(f979,definition,
( spl42_56
<=> sP36 ),
introduced(definition,[new_symbols(definition,[spl42_56])],[avatar_definition]) ).
fof(f982,plain,
( ~ spl42_56
| spl42_19 ),
inference(avatar_split_clause,[],[f414,f697,f979]) ).
fof(f983,plain,
( ~ spl42_56
| spl42_31 ),
inference(avatar_split_clause,[],[f415,f748,f979]) ).
fof(f984,plain,
( e21 != h4(e11)
| ~ sP37 ),
inference(forward_demodulation,[],[f404,f611]) ).
fof(f992,plain,
( e20 != h2(e11)
| ~ sP38 ),
inference(forward_demodulation,[],[f400,f603]) ).
fof(f993,plain,
( e20 != h1(e11)
| ~ sP38 ),
inference(forward_demodulation,[],[f401,f599]) ).
fof(f995,definition,
( spl42_57
<=> sP38 ),
introduced(definition,[new_symbols(definition,[spl42_57])],[avatar_definition]) ).
fof(f998,plain,
( ~ spl42_57
| spl42_47 ),
inference(avatar_split_clause,[],[f402,f817,f995]) ).
fof(f999,plain,
( ~ spl42_57
| spl42_35 ),
inference(avatar_split_clause,[],[f403,f766,f995]) ).
fof(f1002,plain,
( e23 != h2(e11)
| ~ sP39 ),
inference(forward_demodulation,[],[f394,f603]) ).
fof(f1003,plain,
( e23 != h1(e11)
| ~ sP39 ),
inference(forward_demodulation,[],[f395,f599]) ).
fof(f1005,definition,
( spl42_58
<=> sP39 ),
introduced(definition,[new_symbols(definition,[spl42_58])],[avatar_definition]) ).
fof(f1008,plain,
( ~ spl42_58
| spl42_12 ),
inference(avatar_split_clause,[],[f396,f666,f1005]) ).
fof(f1009,plain,
( ~ spl42_58
| spl42_40 ),
inference(avatar_split_clause,[],[f397,f787,f1005]) ).
fof(f1015,definition,
( spl42_59
<=> sP40 ),
introduced(definition,[new_symbols(definition,[spl42_59])],[avatar_definition]) ).
fof(f1018,plain,
( ~ spl42_59
| spl42_24 ),
inference(avatar_split_clause,[],[f390,f718,f1015]) ).
fof(f1019,plain,
( ~ spl42_59
| spl42_44 ),
inference(avatar_split_clause,[],[f391,f804,f1015]) ).
fof(f1020,plain,
( e21 != h4(e11)
| ~ sP41 ),
inference(forward_demodulation,[],[f380,f611]) ).
fof(f1025,definition,
( spl42_60
<=> sP41 ),
introduced(definition,[new_symbols(definition,[spl42_60])],[avatar_definition]) ).
fof(f1030,plain,
e22 = op2(e23,h4(e11)),
inference(forward_demodulation,[],[f377,f611]) ).
fof(f1031,plain,
e20 = op2(h4(e12),e23),
inference(forward_demodulation,[],[f379,f610]) ).
fof(f1033,definition,
( spl42_61
<=> e13 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl42_61])],[avatar_definition]) ).
fof(f1035,plain,
( e13 = op1(e13,e13)
| ~ spl42_61 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1037,definition,
( spl42_62
<=> e12 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl42_62])],[avatar_definition]) ).
fof(f1039,plain,
( e12 = op1(e13,e13)
| ~ spl42_62 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f1041,definition,
( spl42_63
<=> e11 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl42_63])],[avatar_definition]) ).
fof(f1043,plain,
( e11 = op1(e13,e13)
| ~ spl42_63 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1045,definition,
( spl42_64
<=> e10 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl42_64])],[avatar_definition]) ).
fof(f1047,plain,
( e10 = op1(e13,e13)
| ~ spl42_64 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f1050,definition,
( spl42_65
<=> e13 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl42_65])],[avatar_definition]) ).
fof(f1052,plain,
( e13 = op1(e13,e12)
| ~ spl42_65 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1054,definition,
( spl42_66
<=> e12 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl42_66])],[avatar_definition]) ).
fof(f1056,plain,
( e12 = op1(e13,e12)
| ~ spl42_66 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1058,definition,
( spl42_67
<=> e11 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl42_67])],[avatar_definition]) ).
fof(f1060,plain,
( e11 = op1(e13,e12)
| ~ spl42_67 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1062,definition,
( spl42_68
<=> e10 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl42_68])],[avatar_definition]) ).
fof(f1064,plain,
( e10 = op1(e13,e12)
| ~ spl42_68 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1067,definition,
( spl42_69
<=> e13 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl42_69])],[avatar_definition]) ).
fof(f1069,plain,
( e13 = op1(e13,e11)
| ~ spl42_69 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1071,definition,
( spl42_70
<=> e12 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl42_70])],[avatar_definition]) ).
fof(f1072,plain,
( e12 != op1(e13,e11)
| spl42_70 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f1073,plain,
( e12 = op1(e13,e11)
| ~ spl42_70 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f1075,definition,
( spl42_71
<=> e11 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl42_71])],[avatar_definition]) ).
fof(f1077,plain,
( e11 = op1(e13,e11)
| ~ spl42_71 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f1079,definition,
( spl42_72
<=> e10 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl42_72])],[avatar_definition]) ).
fof(f1081,plain,
( e10 = op1(e13,e11)
| ~ spl42_72 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1084,definition,
( spl42_73
<=> e13 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl42_73])],[avatar_definition]) ).
fof(f1086,plain,
( e13 = op1(e13,e10)
| ~ spl42_73 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f1088,definition,
( spl42_74
<=> e12 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl42_74])],[avatar_definition]) ).
fof(f1090,plain,
( e12 = op1(e13,e10)
| ~ spl42_74 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1092,definition,
( spl42_75
<=> e11 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl42_75])],[avatar_definition]) ).
fof(f1094,plain,
( e11 = op1(e13,e10)
| ~ spl42_75 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1096,definition,
( spl42_76
<=> e10 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl42_76])],[avatar_definition]) ).
fof(f1098,plain,
( e10 = op1(e13,e10)
| ~ spl42_76 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f1101,definition,
( spl42_77
<=> e13 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl42_77])],[avatar_definition]) ).
fof(f1103,plain,
( e13 = op1(e12,e13)
| ~ spl42_77 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f1105,definition,
( spl42_78
<=> e12 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl42_78])],[avatar_definition]) ).
fof(f1107,plain,
( e12 = op1(e12,e13)
| ~ spl42_78 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f1109,definition,
( spl42_79
<=> e11 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl42_79])],[avatar_definition]) ).
fof(f1111,plain,
( e11 = op1(e12,e13)
| ~ spl42_79 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f1113,definition,
( spl42_80
<=> e10 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl42_80])],[avatar_definition]) ).
fof(f1115,plain,
( e10 = op1(e12,e13)
| ~ spl42_80 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f1118,definition,
( spl42_81
<=> e13 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl42_81])],[avatar_definition]) ).
fof(f1120,plain,
( e13 = op1(e12,e12)
| ~ spl42_81 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f1122,definition,
( spl42_82
<=> e12 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl42_82])],[avatar_definition]) ).
fof(f1124,plain,
( e12 = op1(e12,e12)
| ~ spl42_82 ),
inference(avatar_component_clause,[],[f1122]) ).
fof(f1126,definition,
( spl42_83
<=> e11 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl42_83])],[avatar_definition]) ).
fof(f1128,plain,
( e11 = op1(e12,e12)
| ~ spl42_83 ),
inference(avatar_component_clause,[],[f1126]) ).
fof(f1130,definition,
( spl42_84
<=> e10 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl42_84])],[avatar_definition]) ).
fof(f1135,definition,
( spl42_85
<=> e13 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl42_85])],[avatar_definition]) ).
fof(f1137,plain,
( e13 = op1(e12,e11)
| ~ spl42_85 ),
inference(avatar_component_clause,[],[f1135]) ).
fof(f1139,definition,
( spl42_86
<=> e12 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl42_86])],[avatar_definition]) ).
fof(f1140,plain,
( e12 != op1(e12,e11)
| spl42_86 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f1141,plain,
( e12 = op1(e12,e11)
| ~ spl42_86 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f1143,definition,
( spl42_87
<=> e11 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl42_87])],[avatar_definition]) ).
fof(f1145,plain,
( e11 = op1(e12,e11)
| ~ spl42_87 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f1147,definition,
( spl42_88
<=> e10 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl42_88])],[avatar_definition]) ).
fof(f1149,plain,
( e10 = op1(e12,e11)
| ~ spl42_88 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f1152,definition,
( spl42_89
<=> e13 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl42_89])],[avatar_definition]) ).
fof(f1154,plain,
( e13 = op1(e12,e10)
| ~ spl42_89 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f1156,definition,
( spl42_90
<=> e12 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl42_90])],[avatar_definition]) ).
fof(f1157,plain,
( e12 != op1(e12,e10)
| spl42_90 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1158,plain,
( e12 = op1(e12,e10)
| ~ spl42_90 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1160,definition,
( spl42_91
<=> e11 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl42_91])],[avatar_definition]) ).
fof(f1162,plain,
( e11 = op1(e12,e10)
| ~ spl42_91 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1164,definition,
( spl42_92
<=> e10 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl42_92])],[avatar_definition]) ).
fof(f1166,plain,
( e10 = op1(e12,e10)
| ~ spl42_92 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f1169,definition,
( spl42_93
<=> e13 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl42_93])],[avatar_definition]) ).
fof(f1171,plain,
( e13 = op1(e11,e13)
| ~ spl42_93 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f1173,definition,
( spl42_94
<=> e12 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl42_94])],[avatar_definition]) ).
fof(f1175,plain,
( e12 = op1(e11,e13)
| ~ spl42_94 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f1177,definition,
( spl42_95
<=> e11 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl42_95])],[avatar_definition]) ).
fof(f1179,plain,
( e11 = op1(e11,e13)
| ~ spl42_95 ),
inference(avatar_component_clause,[],[f1177]) ).
fof(f1186,definition,
( spl42_97
<=> e13 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl42_97])],[avatar_definition]) ).
fof(f1188,plain,
( e13 = op1(e11,e12)
| ~ spl42_97 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1190,definition,
( spl42_98
<=> e12 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl42_98])],[avatar_definition]) ).
fof(f1192,plain,
( e12 = op1(e11,e12)
| ~ spl42_98 ),
inference(avatar_component_clause,[],[f1190]) ).
fof(f1194,definition,
( spl42_99
<=> e11 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl42_99])],[avatar_definition]) ).
fof(f1196,plain,
( e11 = op1(e11,e12)
| ~ spl42_99 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f1198,definition,
( spl42_100
<=> e10 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl42_100])],[avatar_definition]) ).
fof(f1200,plain,
( e10 = op1(e11,e12)
| ~ spl42_100 ),
inference(avatar_component_clause,[],[f1198]) ).
fof(f1203,definition,
( spl42_101
<=> e13 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl42_101])],[avatar_definition]) ).
fof(f1205,plain,
( e13 = op1(e11,e11)
| ~ spl42_101 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f1207,definition,
( spl42_102
<=> e12 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl42_102])],[avatar_definition]) ).
fof(f1209,plain,
( e12 = op1(e11,e11)
| ~ spl42_102 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f1211,definition,
( spl42_103
<=> e11 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl42_103])],[avatar_definition]) ).
fof(f1212,plain,
( e11 != op1(e11,e11)
| spl42_103 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f1213,plain,
( e11 = op1(e11,e11)
| ~ spl42_103 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f1215,definition,
( spl42_104
<=> e10 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl42_104])],[avatar_definition]) ).
fof(f1217,plain,
( e10 = op1(e11,e11)
| ~ spl42_104 ),
inference(avatar_component_clause,[],[f1215]) ).
fof(f1220,definition,
( spl42_105
<=> e13 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl42_105])],[avatar_definition]) ).
fof(f1222,plain,
( e13 = op1(e11,e10)
| ~ spl42_105 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f1224,definition,
( spl42_106
<=> e12 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl42_106])],[avatar_definition]) ).
fof(f1226,plain,
( e12 = op1(e11,e10)
| ~ spl42_106 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1228,definition,
( spl42_107
<=> e11 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl42_107])],[avatar_definition]) ).
fof(f1229,plain,
( e11 != op1(e11,e10)
| spl42_107 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f1230,plain,
( e11 = op1(e11,e10)
| ~ spl42_107 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f1232,definition,
( spl42_108
<=> e10 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl42_108])],[avatar_definition]) ).
fof(f1234,plain,
( e10 = op1(e11,e10)
| ~ spl42_108 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f1237,definition,
( spl42_109
<=> e13 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl42_109])],[avatar_definition]) ).
fof(f1239,plain,
( e13 = op1(e10,e13)
| ~ spl42_109 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1241,definition,
( spl42_110
<=> e12 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl42_110])],[avatar_definition]) ).
fof(f1243,plain,
( e12 = op1(e10,e13)
| ~ spl42_110 ),
inference(avatar_component_clause,[],[f1241]) ).
fof(f1249,definition,
( spl42_112
<=> e10 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl42_112])],[avatar_definition]) ).
fof(f1251,plain,
( e10 = op1(e10,e13)
| ~ spl42_112 ),
inference(avatar_component_clause,[],[f1249]) ).
fof(f1254,definition,
( spl42_113
<=> e13 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl42_113])],[avatar_definition]) ).
fof(f1256,plain,
( e13 = op1(e10,e12)
| ~ spl42_113 ),
inference(avatar_component_clause,[],[f1254]) ).
fof(f1258,definition,
( spl42_114
<=> e12 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl42_114])],[avatar_definition]) ).
fof(f1260,plain,
( e12 = op1(e10,e12)
| ~ spl42_114 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f1262,definition,
( spl42_115
<=> e11 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl42_115])],[avatar_definition]) ).
fof(f1264,plain,
( e11 = op1(e10,e12)
| ~ spl42_115 ),
inference(avatar_component_clause,[],[f1262]) ).
fof(f1266,definition,
( spl42_116
<=> e10 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl42_116])],[avatar_definition]) ).
fof(f1267,plain,
( e10 != op1(e10,e12)
| spl42_116 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f1268,plain,
( e10 = op1(e10,e12)
| ~ spl42_116 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f1271,definition,
( spl42_117
<=> e13 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl42_117])],[avatar_definition]) ).
fof(f1273,plain,
( e13 = op1(e10,e11)
| ~ spl42_117 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f1275,definition,
( spl42_118
<=> e12 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl42_118])],[avatar_definition]) ).
fof(f1279,definition,
( spl42_119
<=> e11 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl42_119])],[avatar_definition]) ).
fof(f1281,plain,
( e11 = op1(e10,e11)
| ~ spl42_119 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1283,definition,
( spl42_120
<=> e10 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl42_120])],[avatar_definition]) ).
fof(f1285,plain,
( e10 = op1(e10,e11)
| ~ spl42_120 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f1288,definition,
( spl42_121
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[spl42_121])],[avatar_definition]) ).
fof(f1290,plain,
( op1(e10,e10) = e13
| ~ spl42_121 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f1292,definition,
( spl42_122
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[spl42_122])],[avatar_definition]) ).
fof(f1294,plain,
( op1(e10,e10) = e12
| ~ spl42_122 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f1296,definition,
( spl42_123
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[spl42_123])],[avatar_definition]) ).
fof(f1298,plain,
( op1(e10,e10) = e11
| ~ spl42_123 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1300,definition,
( spl42_124
<=> e10 = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[spl42_124])],[avatar_definition]) ).
fof(f1301,plain,
( e10 != op1(e10,e10)
| spl42_124 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f1302,plain,
( e10 = op1(e10,e10)
| ~ spl42_124 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f1304,plain,
( spl42_61
| spl42_77
| spl42_93
| spl42_109 ),
inference(avatar_split_clause,[],[f329,f1237,f1169,f1101,f1033]) ).
fof(f1305,plain,
( spl42_61
| spl42_65
| spl42_69
| spl42_73 ),
inference(avatar_split_clause,[],[f330,f1084,f1067,f1050,f1033]) ).
fof(f1306,plain,
( spl42_62
| spl42_78
| spl42_94
| spl42_110 ),
inference(avatar_split_clause,[],[f331,f1241,f1173,f1105,f1037]) ).
fof(f1311,plain,
( spl42_64
| spl42_68
| spl42_72
| spl42_76 ),
inference(avatar_split_clause,[],[f336,f1096,f1079,f1062,f1045]) ).
fof(f1312,plain,
( spl42_65
| spl42_81
| spl42_97
| spl42_113 ),
inference(avatar_split_clause,[],[f337,f1254,f1186,f1118,f1050]) ).
fof(f1313,plain,
( spl42_77
| spl42_81
| spl42_85
| spl42_89 ),
inference(avatar_split_clause,[],[f338,f1152,f1135,f1118,f1101]) ).
fof(f1314,plain,
( spl42_66
| spl42_82
| spl42_98
| spl42_114 ),
inference(avatar_split_clause,[],[f339,f1258,f1190,f1122,f1054]) ).
fof(f1315,plain,
( spl42_78
| spl42_82
| spl42_86
| spl42_90 ),
inference(avatar_split_clause,[],[f340,f1156,f1139,f1122,f1105]) ).
fof(f1316,plain,
( spl42_67
| spl42_83
| spl42_99
| spl42_115 ),
inference(avatar_split_clause,[],[f341,f1262,f1194,f1126,f1058]) ).
fof(f1317,plain,
( spl42_79
| spl42_83
| spl42_87
| spl42_91 ),
inference(avatar_split_clause,[],[f342,f1160,f1143,f1126,f1109]) ).
fof(f1318,plain,
( spl42_68
| spl42_84
| spl42_100
| spl42_116 ),
inference(avatar_split_clause,[],[f343,f1266,f1198,f1130,f1062]) ).
fof(f1320,plain,
( spl42_69
| spl42_85
| spl42_101
| spl42_117 ),
inference(avatar_split_clause,[],[f345,f1271,f1203,f1135,f1067]) ).
fof(f1321,plain,
( spl42_93
| spl42_97
| spl42_101
| spl42_105 ),
inference(avatar_split_clause,[],[f346,f1220,f1203,f1186,f1169]) ).
fof(f1323,plain,
( spl42_94
| spl42_98
| spl42_102
| spl42_106 ),
inference(avatar_split_clause,[],[f348,f1224,f1207,f1190,f1173]) ).
fof(f1324,plain,
( spl42_71
| spl42_87
| spl42_103
| spl42_119 ),
inference(avatar_split_clause,[],[f349,f1279,f1211,f1143,f1075]) ).
fof(f1326,plain,
( spl42_72
| spl42_88
| spl42_104
| spl42_120 ),
inference(avatar_split_clause,[],[f351,f1283,f1215,f1147,f1079]) ).
fof(f1329,plain,
( spl42_109
| spl42_113
| spl42_117
| spl42_121 ),
inference(avatar_split_clause,[],[f354,f1288,f1271,f1254,f1237]) ).
fof(f1330,plain,
( spl42_74
| spl42_90
| spl42_106
| spl42_122 ),
inference(avatar_split_clause,[],[f355,f1292,f1224,f1156,f1088]) ).
fof(f1331,plain,
( spl42_110
| spl42_114
| spl42_118
| spl42_122 ),
inference(avatar_split_clause,[],[f356,f1292,f1275,f1258,f1241]) ).
fof(f1332,plain,
( spl42_75
| spl42_91
| spl42_107
| spl42_123 ),
inference(avatar_split_clause,[],[f357,f1296,f1228,f1160,f1092]) ).
fof(f1334,plain,
( spl42_76
| spl42_92
| spl42_108
| spl42_124 ),
inference(avatar_split_clause,[],[f359,f1300,f1232,f1164,f1096]) ).
fof(f1335,plain,
( spl42_112
| spl42_116
| spl42_120
| spl42_124 ),
inference(avatar_split_clause,[],[f360,f1300,f1283,f1266,f1249]) ).
fof(f1337,definition,
( spl42_125
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl42_125])],[avatar_definition]) ).
fof(f1341,definition,
( spl42_126
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl42_126])],[avatar_definition]) ).
fof(f1345,definition,
( spl42_127
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl42_127])],[avatar_definition]) ).
fof(f1349,definition,
( spl42_128
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl42_128])],[avatar_definition]) ).
fof(f1353,definition,
( spl42_129
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl42_129])],[avatar_definition]) ).
fof(f1357,definition,
( spl42_130
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl42_130])],[avatar_definition]) ).
fof(f1361,definition,
( spl42_131
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl42_131])],[avatar_definition]) ).
fof(f1365,definition,
( spl42_132
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl42_132])],[avatar_definition]) ).
fof(f1369,definition,
( spl42_133
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl42_133])],[avatar_definition]) ).
fof(f1373,definition,
( spl42_134
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl42_134])],[avatar_definition]) ).
fof(f1377,definition,
( spl42_135
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl42_135])],[avatar_definition]) ).
fof(f1381,definition,
( spl42_136
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl42_136])],[avatar_definition]) ).
fof(f1385,definition,
( spl42_137
<=> sP24 ),
introduced(definition,[new_symbols(definition,[spl42_137])],[avatar_definition]) ).
fof(f1389,definition,
( spl42_138
<=> sP25 ),
introduced(definition,[new_symbols(definition,[spl42_138])],[avatar_definition]) ).
fof(f1393,definition,
( spl42_139
<=> sP26 ),
introduced(definition,[new_symbols(definition,[spl42_139])],[avatar_definition]) ).
fof(f1399,plain,
( spl42_125
| spl42_126
| spl42_127
| spl42_128
| spl42_129
| spl42_130
| spl42_131
| spl42_132
| spl42_133
| spl42_134
| spl42_135
| spl42_136
| spl42_137
| spl42_138
| spl42_139
| ~ spl42_124 ),
inference(avatar_split_clause,[],[f274,f1300,f1393,f1389,f1385,f1381,f1377,f1373,f1369,f1365,f1361,f1357,f1353,f1349,f1345,f1341,f1337]) ).
fof(f1400,plain,
( spl42_125
| spl42_126
| spl42_127
| spl42_128
| spl42_129
| spl42_130
| spl42_131
| spl42_132
| spl42_133
| spl42_134
| spl42_135
| spl42_136
| spl42_137
| spl42_138
| spl42_139
| spl42_124 ),
inference(avatar_split_clause,[],[f275,f1300,f1393,f1389,f1385,f1381,f1377,f1373,f1369,f1365,f1361,f1357,f1353,f1349,f1345,f1341,f1337]) ).
fof(f1401,plain,
( spl42_125
| spl42_126
| spl42_127
| spl42_128
| spl42_129
| spl42_130
| spl42_131
| spl42_132
| spl42_133
| spl42_134
| spl42_135
| spl42_136
| spl42_137
| spl42_138
| spl42_139
| spl42_124 ),
inference(avatar_split_clause,[],[f276,f1300,f1393,f1389,f1385,f1381,f1377,f1373,f1369,f1365,f1361,f1357,f1353,f1349,f1345,f1341,f1337]) ).
fof(f1403,definition,
( spl42_140
<=> e13 = op1(e13,op1(e13,e13)) ),
introduced(definition,[new_symbols(definition,[spl42_140])],[avatar_definition]) ).
fof(f1405,plain,
( e13 = op1(e13,op1(e13,e13))
| ~ spl42_140 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f1407,definition,
( spl42_141
<=> e12 = op1(e12,op1(e12,e13)) ),
introduced(definition,[new_symbols(definition,[spl42_141])],[avatar_definition]) ).
fof(f1409,plain,
( e12 = op1(e12,op1(e12,e13))
| ~ spl42_141 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f1411,definition,
( spl42_142
<=> e11 = op1(e11,op1(e11,e13)) ),
introduced(definition,[new_symbols(definition,[spl42_142])],[avatar_definition]) ).
fof(f1413,plain,
( e11 = op1(e11,op1(e11,e13))
| ~ spl42_142 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1415,definition,
( spl42_143
<=> e10 = op1(e10,op1(e10,e13)) ),
introduced(definition,[new_symbols(definition,[spl42_143])],[avatar_definition]) ).
fof(f1417,plain,
( e10 = op1(e10,op1(e10,e13))
| ~ spl42_143 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f1418,plain,
( spl42_140
| spl42_141
| spl42_142
| spl42_143 ),
inference(avatar_split_clause,[],[f277,f1415,f1411,f1407,f1403]) ).
fof(f1420,definition,
( spl42_144
<=> e13 = op1(e13,op1(e13,e12)) ),
introduced(definition,[new_symbols(definition,[spl42_144])],[avatar_definition]) ).
fof(f1422,plain,
( e13 = op1(e13,op1(e13,e12))
| ~ spl42_144 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f1424,definition,
( spl42_145
<=> e12 = op1(e12,op1(e12,e12)) ),
introduced(definition,[new_symbols(definition,[spl42_145])],[avatar_definition]) ).
fof(f1425,plain,
( e12 != op1(e12,op1(e12,e12))
| spl42_145 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f1426,plain,
( e12 = op1(e12,op1(e12,e12))
| ~ spl42_145 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f1428,definition,
( spl42_146
<=> e11 = op1(e11,op1(e11,e12)) ),
introduced(definition,[new_symbols(definition,[spl42_146])],[avatar_definition]) ).
fof(f1430,plain,
( e11 = op1(e11,op1(e11,e12))
| ~ spl42_146 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f1432,definition,
( spl42_147
<=> e10 = op1(e10,op1(e10,e12)) ),
introduced(definition,[new_symbols(definition,[spl42_147])],[avatar_definition]) ).
fof(f1434,plain,
( e10 = op1(e10,op1(e10,e12))
| ~ spl42_147 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1435,plain,
( spl42_144
| spl42_145
| spl42_146
| spl42_147 ),
inference(avatar_split_clause,[],[f278,f1432,f1428,f1424,f1420]) ).
fof(f1437,definition,
( spl42_148
<=> e13 = op1(e13,op1(e13,e11)) ),
introduced(definition,[new_symbols(definition,[spl42_148])],[avatar_definition]) ).
fof(f1438,plain,
( e13 != op1(e13,op1(e13,e11))
| spl42_148 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f1439,plain,
( e13 = op1(e13,op1(e13,e11))
| ~ spl42_148 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f1441,definition,
( spl42_149
<=> e12 = op1(e12,op1(e12,e11)) ),
introduced(definition,[new_symbols(definition,[spl42_149])],[avatar_definition]) ).
fof(f1443,plain,
( e12 = op1(e12,op1(e12,e11))
| ~ spl42_149 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f1445,definition,
( spl42_150
<=> e11 = op1(e11,op1(e11,e11)) ),
introduced(definition,[new_symbols(definition,[spl42_150])],[avatar_definition]) ).
fof(f1447,plain,
( e11 = op1(e11,op1(e11,e11))
| ~ spl42_150 ),
inference(avatar_component_clause,[],[f1445]) ).
fof(f1449,definition,
( spl42_151
<=> e10 = op1(e10,op1(e10,e11)) ),
introduced(definition,[new_symbols(definition,[spl42_151])],[avatar_definition]) ).
fof(f1451,plain,
( e10 = op1(e10,op1(e10,e11))
| ~ spl42_151 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f1452,plain,
( spl42_148
| spl42_149
| spl42_150
| spl42_151 ),
inference(avatar_split_clause,[],[f279,f1449,f1445,f1441,f1437]) ).
fof(f1466,definition,
( spl42_155
<=> e10 = op1(e10,op1(e10,e10)) ),
introduced(definition,[new_symbols(definition,[spl42_155])],[avatar_definition]) ).
fof(f1467,plain,
( e10 != op1(e10,op1(e10,e10))
| spl42_155 ),
inference(avatar_component_clause,[],[f1466]) ).
fof(f1468,plain,
( e10 = op1(e10,op1(e10,e10))
| ~ spl42_155 ),
inference(avatar_component_clause,[],[f1466]) ).
fof(f1475,plain,
( ~ spl42_125
| spl42_61 ),
inference(avatar_split_clause,[],[f270,f1033,f1337]) ).
fof(f1480,plain,
( ~ spl42_126
| spl42_77 ),
inference(avatar_split_clause,[],[f263,f1101,f1341]) ).
fof(f1487,plain,
( ~ spl42_127
| spl42_69 ),
inference(avatar_split_clause,[],[f258,f1067,f1345]) ).
fof(f1491,plain,
( ~ spl42_128
| ~ spl42_124 ),
inference(avatar_split_clause,[],[f250,f1300,f1349]) ).
fof(f1492,plain,
( ~ spl42_128
| spl42_109 ),
inference(avatar_split_clause,[],[f251,f1237,f1349]) ).
fof(f1493,plain,
( ~ spl42_128
| spl42_73 ),
inference(avatar_split_clause,[],[f252,f1084,f1349]) ).
fof(f1499,plain,
( ~ spl42_129
| spl42_78 ),
inference(avatar_split_clause,[],[f246,f1105,f1353]) ).
fof(f1501,plain,
( ~ spl42_130
| ~ spl42_82 ),
inference(avatar_split_clause,[],[f236,f1122,f1357]) ).
fof(f1505,plain,
( ~ spl42_130
| spl42_82 ),
inference(avatar_split_clause,[],[f240,f1122,f1357]) ).
fof(f1506,plain,
( ~ spl42_131
| ~ spl42_63 ),
inference(avatar_split_clause,[],[f229,f1041,f1361]) ).
fof(f1513,plain,
( ~ spl42_132
| ~ spl42_84 ),
inference(avatar_split_clause,[],[f224,f1130,f1365]) ).
fof(f1514,plain,
( ~ spl42_132
| ~ spl42_104 ),
inference(avatar_split_clause,[],[f225,f1215,f1365]) ).
fof(f1515,plain,
( ~ spl42_132
| ~ spl42_124 ),
inference(avatar_split_clause,[],[f226,f1300,f1365]) ).
fof(f1516,plain,
( ~ spl42_132
| spl42_114 ),
inference(avatar_split_clause,[],[f227,f1258,f1365]) ).
fof(f1517,plain,
( ~ spl42_132
| spl42_90 ),
inference(avatar_split_clause,[],[f228,f1156,f1365]) ).
fof(f1522,plain,
( ~ spl42_133
| spl42_71 ),
inference(avatar_split_clause,[],[f221,f1075,f1369]) ).
fof(f1525,plain,
( ~ spl42_134
| ~ spl42_82 ),
inference(avatar_split_clause,[],[f212,f1122,f1373]) ).
fof(f1526,plain,
( ~ spl42_134
| ~ spl42_102 ),
inference(avatar_split_clause,[],[f213,f1207,f1373]) ).
fof(f1528,plain,
( ~ spl42_134
| spl42_87 ),
inference(avatar_split_clause,[],[f215,f1143,f1373]) ).
fof(f1529,plain,
( ~ spl42_134
| spl42_99 ),
inference(avatar_split_clause,[],[f216,f1194,f1373]) ).
fof(f1530,plain,
( ~ spl42_135
| ~ spl42_63 ),
inference(avatar_split_clause,[],[f205,f1041,f1377]) ).
fof(f1538,plain,
( ~ spl42_136
| ~ spl42_104 ),
inference(avatar_split_clause,[],[f201,f1215,f1381]) ).
fof(f1539,plain,
( ~ spl42_136
| ~ spl42_124 ),
inference(avatar_split_clause,[],[f202,f1300,f1381]) ).
fof(f1540,plain,
( ~ spl42_136
| spl42_119 ),
inference(avatar_split_clause,[],[f203,f1279,f1381]) ).
fof(f1541,plain,
( ~ spl42_136
| spl42_107 ),
inference(avatar_split_clause,[],[f204,f1228,f1381]) ).
fof(f1546,plain,
( ~ spl42_137
| spl42_76 ),
inference(avatar_split_clause,[],[f197,f1096,f1385]) ).
fof(f1547,plain,
( ~ spl42_137
| spl42_112 ),
inference(avatar_split_clause,[],[f198,f1249,f1385]) ).
fof(f1549,plain,
( ~ spl42_138
| ~ spl42_82 ),
inference(avatar_split_clause,[],[f188,f1122,f1389]) ).
fof(f1551,plain,
( ~ spl42_138
| ~ spl42_122 ),
inference(avatar_split_clause,[],[f190,f1292,f1389]) ).
fof(f1552,plain,
( ~ spl42_138
| spl42_92 ),
inference(avatar_split_clause,[],[f191,f1164,f1389]) ).
fof(f1553,plain,
( ~ spl42_138
| spl42_116 ),
inference(avatar_split_clause,[],[f192,f1266,f1389]) ).
fof(f1554,plain,
( ~ spl42_139
| ~ spl42_63 ),
inference(avatar_split_clause,[],[f181,f1041,f1393]) ).
fof(f1560,plain,
spl42_63,
inference(avatar_split_clause,[],[f179,f1041]) ).
fof(f1561,plain,
e10 = op1(e12,e13),
inference(forward_demodulation,[],[f180,f178]) ).
fof(f1569,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f163,f609]) ).
fof(f1584,definition,
( spl42_157
<=> e23 = h4(e12) ),
introduced(definition,[new_symbols(definition,[spl42_157])],[avatar_definition]) ).
fof(f1585,plain,
( e23 = h4(e12)
| ~ spl42_157 ),
inference(avatar_component_clause,[],[f1584]) ).
fof(f1589,definition,
( spl42_158
<=> e23 = h4(e11) ),
introduced(definition,[new_symbols(definition,[spl42_158])],[avatar_definition]) ).
fof(f1590,plain,
( e23 = h4(e11)
| ~ spl42_158 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f1609,definition,
( spl42_162
<=> e22 = h4(e11) ),
introduced(definition,[new_symbols(definition,[spl42_162])],[avatar_definition]) ).
fof(f1610,plain,
( e22 = h4(e11)
| ~ spl42_162 ),
inference(avatar_component_clause,[],[f1609]) ).
fof(f1629,definition,
( spl42_166
<=> e21 = h4(e11) ),
introduced(definition,[new_symbols(definition,[spl42_166])],[avatar_definition]) ).
fof(f1630,plain,
( e21 = h4(e11)
| ~ spl42_166 ),
inference(avatar_component_clause,[],[f1629]) ).
fof(f1640,definition,
( spl42_168
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl42_168])],[avatar_definition]) ).
fof(f1644,definition,
( spl42_169
<=> e23 = h3(e12) ),
introduced(definition,[new_symbols(definition,[spl42_169])],[avatar_definition]) ).
fof(f1645,plain,
( e23 = h3(e12)
| ~ spl42_169 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f1647,plain,
( ~ spl42_168
| ~ spl42_169 ),
inference(avatar_split_clause,[],[f141,f1644,f1640]) ).
fof(f1649,definition,
( spl42_170
<=> e23 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl42_170])],[avatar_definition]) ).
fof(f1650,plain,
( e23 = h3(e11)
| ~ spl42_170 ),
inference(avatar_component_clause,[],[f1649]) ).
fof(f1658,plain,
~ sP4,
inference(forward_subsumption_resolution,[],[f136,f609]) ).
fof(f1660,definition,
( spl42_172
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl42_172])],[avatar_definition]) ).
fof(f1664,definition,
( spl42_173
<=> e22 = h3(e12) ),
introduced(definition,[new_symbols(definition,[spl42_173])],[avatar_definition]) ).
fof(f1665,plain,
( e22 = h3(e12)
| ~ spl42_173 ),
inference(avatar_component_clause,[],[f1664]) ).
fof(f1669,definition,
( spl42_174
<=> e22 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl42_174])],[avatar_definition]) ).
fof(f1670,plain,
( e22 = h3(e11)
| ~ spl42_174 ),
inference(avatar_component_clause,[],[f1669]) ).
fof(f1671,plain,
( e22 != h3(e11)
| spl42_174 ),
inference(avatar_component_clause,[],[f1669]) ).
fof(f1680,definition,
( spl42_176
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl42_176])],[avatar_definition]) ).
fof(f1689,definition,
( spl42_178
<=> e21 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl42_178])],[avatar_definition]) ).
fof(f1690,plain,
( e21 = h3(e11)
| ~ spl42_178 ),
inference(avatar_component_clause,[],[f1689]) ).
fof(f1692,plain,
( ~ spl42_176
| ~ spl42_178 ),
inference(avatar_split_clause,[],[f134,f1689,f1680]) ).
fof(f1709,definition,
( spl42_182
<=> e23 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl42_182])],[avatar_definition]) ).
fof(f1710,plain,
( e23 = h2(e11)
| ~ spl42_182 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f1729,definition,
( spl42_186
<=> e22 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl42_186])],[avatar_definition]) ).
fof(f1730,plain,
( e22 = h2(e11)
| ~ spl42_186 ),
inference(avatar_component_clause,[],[f1729]) ).
fof(f1744,definition,
( spl42_189
<=> e21 = h2(e12) ),
introduced(definition,[new_symbols(definition,[spl42_189])],[avatar_definition]) ).
fof(f1745,plain,
( e21 = h2(e12)
| ~ spl42_189 ),
inference(avatar_component_clause,[],[f1744]) ).
fof(f1749,definition,
( spl42_190
<=> e21 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl42_190])],[avatar_definition]) ).
fof(f1750,plain,
( e21 = h2(e11)
| ~ spl42_190 ),
inference(avatar_component_clause,[],[f1749]) ).
fof(f1769,definition,
( spl42_194
<=> e23 = h1(e11) ),
introduced(definition,[new_symbols(definition,[spl42_194])],[avatar_definition]) ).
fof(f1770,plain,
( e23 = h1(e11)
| ~ spl42_194 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f1789,definition,
( spl42_198
<=> e22 = h1(e11) ),
introduced(definition,[new_symbols(definition,[spl42_198])],[avatar_definition]) ).
fof(f1790,plain,
( e22 = h1(e11)
| ~ spl42_198 ),
inference(avatar_component_clause,[],[f1789]) ).
fof(f1809,definition,
( spl42_202
<=> e21 = h1(e11) ),
introduced(definition,[new_symbols(definition,[spl42_202])],[avatar_definition]) ).
fof(f1810,plain,
( e21 = h1(e11)
| ~ spl42_202 ),
inference(avatar_component_clause,[],[f1809]) ).
fof(f1818,plain,
( e21 = h3(e11)
| e20 = h3(e11)
| e22 = op2(e22,e22)
| e23 = op2(e22,e22) ),
inference(forward_demodulation,[],[f687,f607]) ).
fof(f1819,plain,
( e21 = h2(e11)
| e20 = h2(e11)
| e22 = op2(e21,e21)
| e23 = op2(e21,e21) ),
inference(forward_demodulation,[],[f756,f603]) ).
fof(f1820,plain,
( e21 = h1(e11)
| e20 = h1(e11)
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[],[f825,f599]) ).
fof(f1821,plain,
( spl42_13
| spl42_25
| spl42_37
| spl42_158 ),
inference(avatar_split_clause,[],[f826,f1589,f775,f723,f671]) ).
fof(f1822,plain,
( spl42_1
| spl42_5
| spl42_9
| spl42_158 ),
inference(avatar_split_clause,[],[f827,f1589,f654,f637,f620]) ).
fof(f1823,plain,
( spl42_14
| spl42_26
| spl42_38
| spl42_162 ),
inference(avatar_split_clause,[],[f828,f1609,f779,f727,f675]) ).
fof(f1828,definition,
( spl42_204
<=> e20 = h4(e11) ),
introduced(definition,[new_symbols(definition,[spl42_204])],[avatar_definition]) ).
fof(f1830,plain,
( e20 = h4(e11)
| ~ spl42_204 ),
inference(avatar_component_clause,[],[f1828]) ).
fof(f1831,plain,
( spl42_16
| spl42_28
| spl42_40
| spl42_204 ),
inference(avatar_split_clause,[],[f832,f1828,f787,f735,f683]) ).
fof(f1832,plain,
( spl42_4
| spl42_8
| spl42_12
| spl42_204 ),
inference(avatar_split_clause,[],[f833,f1828,f666,f649,f632]) ).
fof(f1833,plain,
( spl42_1
| spl42_29
| spl42_41
| spl42_170 ),
inference(avatar_split_clause,[],[f834,f1649,f792,f740,f620]) ).
fof(f1834,plain,
( spl42_13
| spl42_17
| spl42_21
| spl42_170 ),
inference(avatar_split_clause,[],[f835,f1649,f706,f689,f671]) ).
fof(f1835,plain,
( spl42_2
| spl42_30
| spl42_42
| spl42_174 ),
inference(avatar_split_clause,[],[f836,f1669,f796,f744,f624]) ).
fof(f1836,plain,
( spl42_14
| spl42_18
| spl42_22
| spl42_174 ),
inference(avatar_split_clause,[],[f837,f1669,f710,f693,f675]) ).
fof(f1837,plain,
( spl42_3
| spl42_31
| spl42_43
| spl42_178 ),
inference(avatar_split_clause,[],[f838,f1689,f800,f748,f628]) ).
fof(f1838,plain,
( spl42_15
| spl42_19
| spl42_23
| spl42_178 ),
inference(avatar_split_clause,[],[f839,f1689,f714,f697,f679]) ).
fof(f1840,definition,
( spl42_205
<=> e20 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl42_205])],[avatar_definition]) ).
fof(f1842,plain,
( e20 = h3(e11)
| ~ spl42_205 ),
inference(avatar_component_clause,[],[f1840]) ).
fof(f1843,plain,
( spl42_4
| spl42_32
| spl42_44
| spl42_205 ),
inference(avatar_split_clause,[],[f840,f1840,f804,f752,f632]) ).
fof(f1844,plain,
( spl42_16
| spl42_20
| spl42_24
| spl42_205 ),
inference(avatar_split_clause,[],[f841,f1840,f718,f701,f683]) ).
fof(f1845,plain,
( spl42_5
| spl42_17
| spl42_45
| spl42_182 ),
inference(avatar_split_clause,[],[f842,f1709,f809,f689,f637]) ).
fof(f1846,plain,
( spl42_25
| spl42_29
| spl42_33
| spl42_182 ),
inference(avatar_split_clause,[],[f843,f1709,f758,f740,f723]) ).
fof(f1848,plain,
( spl42_26
| spl42_30
| spl42_34
| spl42_186 ),
inference(avatar_split_clause,[],[f845,f1729,f762,f744,f727]) ).
fof(f1849,plain,
( spl42_7
| spl42_19
| spl42_47
| spl42_190 ),
inference(avatar_split_clause,[],[f846,f1749,f817,f697,f645]) ).
fof(f1850,plain,
( spl42_27
| spl42_31
| spl42_35
| spl42_190 ),
inference(avatar_split_clause,[],[f847,f1749,f766,f748,f731]) ).
fof(f1852,definition,
( spl42_206
<=> e20 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl42_206])],[avatar_definition]) ).
fof(f1854,plain,
( e20 = h2(e11)
| ~ spl42_206 ),
inference(avatar_component_clause,[],[f1852]) ).
fof(f1855,plain,
( spl42_8
| spl42_20
| spl42_48
| spl42_206 ),
inference(avatar_split_clause,[],[f848,f1852,f821,f701,f649]) ).
fof(f1856,plain,
( spl42_28
| spl42_32
| spl42_36
| spl42_206 ),
inference(avatar_split_clause,[],[f849,f1852,f770,f752,f735]) ).
fof(f1858,plain,
( spl42_37
| spl42_41
| spl42_45
| spl42_194 ),
inference(avatar_split_clause,[],[f851,f1769,f809,f792,f775]) ).
fof(f1859,plain,
( spl42_10
| spl42_22
| spl42_34
| spl42_198 ),
inference(avatar_split_clause,[],[f852,f1789,f762,f710,f658]) ).
fof(f1860,plain,
( spl42_38
| spl42_42
| spl42_46
| spl42_198 ),
inference(avatar_split_clause,[],[f853,f1789,f813,f796,f779]) ).
fof(f1861,plain,
( spl42_11
| spl42_23
| spl42_35
| spl42_202 ),
inference(avatar_split_clause,[],[f854,f1809,f766,f714,f662]) ).
fof(f1862,plain,
( spl42_39
| spl42_43
| spl42_47
| spl42_202 ),
inference(avatar_split_clause,[],[f855,f1809,f817,f800,f783]) ).
fof(f1864,definition,
( spl42_207
<=> e20 = h1(e11) ),
introduced(definition,[new_symbols(definition,[spl42_207])],[avatar_definition]) ).
fof(f1866,plain,
( e20 = h1(e11)
| ~ spl42_207 ),
inference(avatar_component_clause,[],[f1864]) ).
fof(f1867,plain,
( spl42_12
| spl42_24
| spl42_36
| spl42_207 ),
inference(avatar_split_clause,[],[f856,f1864,f770,f718,f666]) ).
fof(f1868,plain,
( spl42_40
| spl42_44
| spl42_48
| spl42_207 ),
inference(avatar_split_clause,[],[f857,f1864,f821,f804,f787]) ).
fof(f1870,definition,
( spl42_208
<=> sP27 ),
introduced(definition,[new_symbols(definition,[spl42_208])],[avatar_definition]) ).
fof(f1874,definition,
( spl42_209
<=> sP32 ),
introduced(definition,[new_symbols(definition,[spl42_209])],[avatar_definition]) ).
fof(f1878,definition,
( spl42_210
<=> sP37 ),
introduced(definition,[new_symbols(definition,[spl42_210])],[avatar_definition]) ).
fof(f1882,plain,
( spl42_208
| spl42_49
| spl42_50
| spl42_51
| spl42_52
| spl42_209
| spl42_53
| spl42_54
| spl42_55
| spl42_56
| spl42_210
| spl42_57
| spl42_58
| spl42_59
| spl42_60
| ~ spl42_205 ),
inference(avatar_split_clause,[],[f883,f1840,f1025,f1015,f1005,f995,f1878,f979,f969,f959,f949,f1874,f933,f923,f913,f903,f1870]) ).
fof(f1883,plain,
( spl42_208
| spl42_49
| spl42_50
| spl42_51
| spl42_52
| spl42_209
| spl42_53
| spl42_54
| spl42_55
| spl42_56
| spl42_210
| spl42_57
| spl42_58
| spl42_59
| spl42_60
| ~ spl42_206 ),
inference(avatar_split_clause,[],[f884,f1852,f1025,f1015,f1005,f995,f1878,f979,f969,f959,f949,f1874,f933,f923,f913,f903,f1870]) ).
fof(f1884,plain,
( spl42_208
| spl42_49
| spl42_50
| spl42_51
| spl42_52
| spl42_209
| spl42_53
| spl42_54
| spl42_55
| spl42_56
| spl42_210
| spl42_57
| spl42_58
| spl42_59
| spl42_60
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f885,f1864,f1025,f1015,f1005,f995,f1878,f979,f969,f959,f949,f1874,f933,f923,f913,f903,f1870]) ).
fof(f1886,plain,
( spl42_208
| spl42_49
| spl42_50
| spl42_51
| spl42_52
| spl42_209
| spl42_53
| spl42_54
| spl42_55
| spl42_56
| spl42_210
| spl42_57
| spl42_58
| spl42_59
| spl42_60
| spl42_207 ),
inference(avatar_split_clause,[],[f887,f1864,f1025,f1015,f1005,f995,f1878,f979,f969,f959,f949,f1874,f933,f923,f913,f903,f1870]) ).
fof(f1888,definition,
( spl42_211
<=> e22 = op2(e22,op2(e22,e23)) ),
introduced(definition,[new_symbols(definition,[spl42_211])],[avatar_definition]) ).
fof(f1890,plain,
( e22 = op2(e22,op2(e22,e23))
| ~ spl42_211 ),
inference(avatar_component_clause,[],[f1888]) ).
fof(f1892,definition,
( spl42_212
<=> e21 = op2(e21,op2(e21,e23)) ),
introduced(definition,[new_symbols(definition,[spl42_212])],[avatar_definition]) ).
fof(f1894,plain,
( e21 = op2(e21,op2(e21,e23))
| ~ spl42_212 ),
inference(avatar_component_clause,[],[f1892]) ).
fof(f1896,definition,
( spl42_213
<=> e20 = op2(e20,op2(e20,e23)) ),
introduced(definition,[new_symbols(definition,[spl42_213])],[avatar_definition]) ).
fof(f1898,plain,
( e20 = op2(e20,op2(e20,e23))
| ~ spl42_213 ),
inference(avatar_component_clause,[],[f1896]) ).
fof(f1899,plain,
( spl42_211
| spl42_212
| spl42_213
| spl42_157 ),
inference(avatar_split_clause,[],[f888,f1584,f1896,f1892,f1888]) ).
fof(f1901,definition,
( spl42_214
<=> e23 = op2(e23,op2(e23,e22)) ),
introduced(definition,[new_symbols(definition,[spl42_214])],[avatar_definition]) ).
fof(f1903,plain,
( e23 = op2(e23,op2(e23,e22))
| ~ spl42_214 ),
inference(avatar_component_clause,[],[f1901]) ).
fof(f1905,definition,
( spl42_215
<=> e21 = op2(e21,op2(e21,e22)) ),
introduced(definition,[new_symbols(definition,[spl42_215])],[avatar_definition]) ).
fof(f1907,plain,
( e21 = op2(e21,op2(e21,e22))
| ~ spl42_215 ),
inference(avatar_component_clause,[],[f1905]) ).
fof(f1909,definition,
( spl42_216
<=> e20 = op2(e20,op2(e20,e22)) ),
introduced(definition,[new_symbols(definition,[spl42_216])],[avatar_definition]) ).
fof(f1911,plain,
( e20 = op2(e20,op2(e20,e22))
| ~ spl42_216 ),
inference(avatar_component_clause,[],[f1909]) ).
fof(f1912,plain,
( spl42_214
| spl42_215
| spl42_216
| spl42_173 ),
inference(avatar_split_clause,[],[f889,f1664,f1909,f1905,f1901]) ).
fof(f1914,definition,
( spl42_217
<=> e23 = op2(e23,op2(e23,e21)) ),
introduced(definition,[new_symbols(definition,[spl42_217])],[avatar_definition]) ).
fof(f1916,plain,
( e23 = op2(e23,op2(e23,e21))
| ~ spl42_217 ),
inference(avatar_component_clause,[],[f1914]) ).
fof(f1918,definition,
( spl42_218
<=> e22 = op2(e22,op2(e22,e21)) ),
introduced(definition,[new_symbols(definition,[spl42_218])],[avatar_definition]) ).
fof(f1920,plain,
( e22 = op2(e22,op2(e22,e21))
| ~ spl42_218 ),
inference(avatar_component_clause,[],[f1918]) ).
fof(f1922,definition,
( spl42_219
<=> e20 = op2(e20,op2(e20,e21)) ),
introduced(definition,[new_symbols(definition,[spl42_219])],[avatar_definition]) ).
fof(f1924,plain,
( e20 = op2(e20,op2(e20,e21))
| ~ spl42_219 ),
inference(avatar_component_clause,[],[f1922]) ).
fof(f1925,plain,
( spl42_217
| spl42_218
| spl42_219
| spl42_189 ),
inference(avatar_split_clause,[],[f890,f1744,f1922,f1918,f1914]) ).
fof(f1927,definition,
( spl42_220
<=> e23 = op2(e23,op2(e23,e20)) ),
introduced(definition,[new_symbols(definition,[spl42_220])],[avatar_definition]) ).
fof(f1929,plain,
( e23 = op2(e23,op2(e23,e20))
| ~ spl42_220 ),
inference(avatar_component_clause,[],[f1927]) ).
fof(f1931,definition,
( spl42_221
<=> e22 = op2(e22,op2(e22,e20)) ),
introduced(definition,[new_symbols(definition,[spl42_221])],[avatar_definition]) ).
fof(f1932,plain,
( e22 != op2(e22,op2(e22,e20))
| spl42_221 ),
inference(avatar_component_clause,[],[f1931]) ).
fof(f1933,plain,
( e22 = op2(e22,op2(e22,e20))
| ~ spl42_221 ),
inference(avatar_component_clause,[],[f1931]) ).
fof(f1935,definition,
( spl42_222
<=> e21 = op2(e21,op2(e21,e20)) ),
introduced(definition,[new_symbols(definition,[spl42_222])],[avatar_definition]) ).
fof(f1937,plain,
( e21 = op2(e21,op2(e21,e20))
| ~ spl42_222 ),
inference(avatar_component_clause,[],[f1935]) ).
fof(f1939,definition,
( spl42_223
<=> e20 = h1(e12) ),
introduced(definition,[new_symbols(definition,[spl42_223])],[avatar_definition]) ).
fof(f1941,plain,
( e20 = h1(e12)
| ~ spl42_223 ),
inference(avatar_component_clause,[],[f1939]) ).
fof(f1942,plain,
( spl42_220
| spl42_221
| spl42_222
| spl42_223 ),
inference(avatar_split_clause,[],[f891,f1939,f1935,f1931,f1927]) ).
fof(f1948,plain,
( ~ spl42_208
| spl42_158 ),
inference(avatar_split_clause,[],[f897,f1589,f1870]) ).
fof(f1950,plain,
( ~ spl42_49
| ~ spl42_174 ),
inference(avatar_split_clause,[],[f899,f1669,f903]) ).
fof(f1953,plain,
( ~ spl42_50
| ~ spl42_166 ),
inference(avatar_split_clause,[],[f908,f1629,f913]) ).
fof(f1959,plain,
( ~ spl42_51
| ~ spl42_206 ),
inference(avatar_split_clause,[],[f920,f1852,f923]) ).
fof(f1960,plain,
( ~ spl42_51
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f921,f1864,f923]) ).
fof(f1966,plain,
( ~ spl42_209
| ~ spl42_174 ),
inference(avatar_split_clause,[],[f939,f1669,f1874]) ).
fof(f1970,plain,
( ~ spl42_209
| spl42_174 ),
inference(avatar_split_clause,[],[f943,f1669,f1874]) ).
fof(f1971,plain,
( ~ spl42_53
| ~ spl42_166 ),
inference(avatar_split_clause,[],[f944,f1629,f949]) ).
fof(f1976,plain,
( ~ spl42_54
| ~ spl42_205 ),
inference(avatar_split_clause,[],[f955,f1840,f959]) ).
fof(f1977,plain,
( ~ spl42_54
| ~ spl42_206 ),
inference(avatar_split_clause,[],[f956,f1852,f959]) ).
fof(f1978,plain,
( ~ spl42_54
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f957,f1864,f959]) ).
fof(f1984,plain,
( ~ spl42_56
| ~ spl42_174 ),
inference(avatar_split_clause,[],[f975,f1669,f979]) ).
fof(f1986,plain,
( ~ spl42_56
| ~ spl42_198 ),
inference(avatar_split_clause,[],[f977,f1789,f979]) ).
fof(f1987,plain,
( ~ spl42_210
| ~ spl42_166 ),
inference(avatar_split_clause,[],[f984,f1629,f1878]) ).
fof(f1995,plain,
( ~ spl42_57
| ~ spl42_206 ),
inference(avatar_split_clause,[],[f992,f1852,f995]) ).
fof(f1996,plain,
( ~ spl42_57
| ~ spl42_207 ),
inference(avatar_split_clause,[],[f993,f1864,f995]) ).
fof(f1999,plain,
( ~ spl42_58
| ~ spl42_182 ),
inference(avatar_split_clause,[],[f1002,f1709,f1005]) ).
fof(f2000,plain,
( ~ spl42_58
| ~ spl42_194 ),
inference(avatar_split_clause,[],[f1003,f1769,f1005]) ).
fof(f2005,plain,
( ~ spl42_60
| ~ spl42_166 ),
inference(avatar_split_clause,[],[f1020,f1629,f1025]) ).
fof(f2009,plain,
spl42_80,
inference(avatar_split_clause,[],[f1561,f1113]) ).
fof(f2017,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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(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)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f1569,f609]) ).
fof(f2027,plain,
~ spl42_172,
inference(avatar_split_clause,[],[f1658,f1660]) ).
fof(f2029,plain,
( e22 = h3(e11)
| e21 = h3(e11)
| e20 = h3(e11)
| e23 = op2(e22,e22) ),
inference(forward_demodulation,[],[f1818,f607]) ).
fof(f2030,plain,
( e22 = h2(e11)
| e21 = h2(e11)
| e20 = h2(e11)
| e23 = op2(e21,e21) ),
inference(forward_demodulation,[],[f1819,f603]) ).
fof(f2031,plain,
( e22 = h1(e11)
| e21 = h1(e11)
| e20 = h1(e11)
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[],[f1820,f599]) ).
fof(f2039,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e22)
| h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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(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(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)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f2017,f609]) ).
fof(f2048,plain,
( e23 = h3(e11)
| e22 = h3(e11)
| e21 = h3(e11)
| e20 = h3(e11) ),
inference(forward_demodulation,[],[f2029,f607]) ).
fof(f2049,plain,
( e23 = h2(e11)
| e22 = h2(e11)
| e21 = h2(e11)
| e20 = h2(e11) ),
inference(forward_demodulation,[],[f2030,f603]) ).
fof(f2050,plain,
( e23 = h1(e11)
| e22 = h1(e11)
| e21 = h1(e11)
| e20 = h1(e11) ),
inference(forward_demodulation,[],[f2031,f599]) ).
fof(f2058,plain,
( h3(e10) != h3(op1(e12,e13))
| h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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(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(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)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f2039,f615]) ).
fof(f2067,plain,
( spl42_205
| spl42_178
| spl42_174
| spl42_170 ),
inference(avatar_split_clause,[],[f2048,f1649,f1669,f1689,f1840]) ).
fof(f2068,plain,
( spl42_206
| spl42_190
| spl42_186
| spl42_182 ),
inference(avatar_split_clause,[],[f2049,f1709,f1729,f1749,f1852]) ).
fof(f2069,plain,
( spl42_207
| spl42_202
| spl42_198
| spl42_194 ),
inference(avatar_split_clause,[],[f2050,f1769,f1789,f1809,f1864]) ).
fof(f2077,plain,
( h3(op1(e13,e10)) != op2(e22,h3(e10))
| h3(e10) != h3(op1(e12,e13))
| h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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(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(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)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f2058,f609]) ).
fof(f2093,plain,
( h3(op1(e13,e11)) != op2(e22,h3(e11))
| h3(op1(e13,e10)) != op2(e22,h3(e10))
| h3(e10) != h3(op1(e12,e13))
| h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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(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(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| e20 != h3(e10)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f2077,f609]) ).
fof(f2109,plain,
( h3(op1(e13,e12)) != op2(e22,h3(e12))
| h3(op1(e13,e11)) != op2(e22,h3(e11))
| h3(op1(e13,e10)) != op2(e22,h3(e10))
| h3(e10) != h3(op1(e12,e13))
| h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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(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(e13,e13)) != op2(h3(e13),h3(e13))
| e20 != h3(e10)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f2093,f609]) ).
fof(f2125,plain,
( op2(e22,e22) != h3(op1(e13,e13))
| h3(op1(e13,e12)) != op2(e22,h3(e12))
| h3(op1(e13,e11)) != op2(e22,h3(e11))
| h3(op1(e13,e10)) != op2(e22,h3(e10))
| h3(e10) != h3(op1(e12,e13))
| h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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(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))
| e20 != h3(e10)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f2109,f609]) ).
fof(f2141,plain,
( h3(e11) != h3(op1(e13,e13))
| h3(op1(e13,e12)) != op2(e22,h3(e12))
| h3(op1(e13,e11)) != op2(e22,h3(e11))
| h3(op1(e13,e10)) != op2(e22,h3(e10))
| h3(e10) != h3(op1(e12,e13))
| h3(op1(e11,e13)) != op2(h3(e11),e22)
| h3(op1(e10,e13)) != op2(h3(e10),e22)
| 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(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(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))
| e20 != h3(e10)
| sP5
| sP4
| sP3 ),
inference(forward_demodulation,[],[f2125,f607]) ).
fof(f2160,definition,
( spl42_225
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(definition,[new_symbols(definition,[spl42_225])],[avatar_definition]) ).
fof(f2162,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl42_225 ),
inference(avatar_component_clause,[],[f2160]) ).
fof(f2164,definition,
( spl42_226
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(definition,[new_symbols(definition,[spl42_226])],[avatar_definition]) ).
fof(f2166,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl42_226 ),
inference(avatar_component_clause,[],[f2164]) ).
fof(f2168,definition,
( spl42_227
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_227])],[avatar_definition]) ).
fof(f2170,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl42_227 ),
inference(avatar_component_clause,[],[f2168]) ).
fof(f2172,definition,
( spl42_228
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(definition,[new_symbols(definition,[spl42_228])],[avatar_definition]) ).
fof(f2174,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl42_228 ),
inference(avatar_component_clause,[],[f2172]) ).
fof(f2176,definition,
( spl42_229
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[spl42_229])],[avatar_definition]) ).
fof(f2178,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl42_229 ),
inference(avatar_component_clause,[],[f2176]) ).
fof(f2180,definition,
( spl42_230
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_230])],[avatar_definition]) ).
fof(f2182,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl42_230 ),
inference(avatar_component_clause,[],[f2180]) ).
fof(f2184,definition,
( spl42_231
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(definition,[new_symbols(definition,[spl42_231])],[avatar_definition]) ).
fof(f2186,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl42_231 ),
inference(avatar_component_clause,[],[f2184]) ).
fof(f2188,definition,
( spl42_232
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(definition,[new_symbols(definition,[spl42_232])],[avatar_definition]) ).
fof(f2190,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl42_232 ),
inference(avatar_component_clause,[],[f2188]) ).
fof(f2192,definition,
( spl42_233
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_233])],[avatar_definition]) ).
fof(f2194,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl42_233 ),
inference(avatar_component_clause,[],[f2192]) ).
fof(f2196,definition,
( spl42_234
<=> h3(op1(e10,e13)) = op2(h3(e10),e22) ),
introduced(definition,[new_symbols(definition,[spl42_234])],[avatar_definition]) ).
fof(f2198,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e22)
| spl42_234 ),
inference(avatar_component_clause,[],[f2196]) ).
fof(f2200,definition,
( spl42_235
<=> h3(op1(e11,e13)) = op2(h3(e11),e22) ),
introduced(definition,[new_symbols(definition,[spl42_235])],[avatar_definition]) ).
fof(f2202,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e22)
| spl42_235 ),
inference(avatar_component_clause,[],[f2200]) ).
fof(f2204,definition,
( spl42_236
<=> h3(e10) = h3(op1(e12,e13)) ),
introduced(definition,[new_symbols(definition,[spl42_236])],[avatar_definition]) ).
fof(f2206,plain,
( h3(e10) != h3(op1(e12,e13))
| spl42_236 ),
inference(avatar_component_clause,[],[f2204]) ).
fof(f2208,definition,
( spl42_237
<=> h3(op1(e13,e10)) = op2(e22,h3(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_237])],[avatar_definition]) ).
fof(f2210,plain,
( h3(op1(e13,e10)) != op2(e22,h3(e10))
| spl42_237 ),
inference(avatar_component_clause,[],[f2208]) ).
fof(f2212,definition,
( spl42_238
<=> h3(op1(e13,e11)) = op2(e22,h3(e11)) ),
introduced(definition,[new_symbols(definition,[spl42_238])],[avatar_definition]) ).
fof(f2214,plain,
( h3(op1(e13,e11)) != op2(e22,h3(e11))
| spl42_238 ),
inference(avatar_component_clause,[],[f2212]) ).
fof(f2216,definition,
( spl42_239
<=> h3(op1(e13,e12)) = op2(e22,h3(e12)) ),
introduced(definition,[new_symbols(definition,[spl42_239])],[avatar_definition]) ).
fof(f2218,plain,
( h3(op1(e13,e12)) != op2(e22,h3(e12))
| spl42_239 ),
inference(avatar_component_clause,[],[f2216]) ).
fof(f2220,definition,
( spl42_240
<=> h3(e11) = h3(op1(e13,e13)) ),
introduced(definition,[new_symbols(definition,[spl42_240])],[avatar_definition]) ).
fof(f2222,plain,
( h3(e11) != h3(op1(e13,e13))
| spl42_240 ),
inference(avatar_component_clause,[],[f2220]) ).
fof(f2226,definition,
( spl42_241
<=> e20 = h3(e10) ),
introduced(definition,[new_symbols(definition,[spl42_241])],[avatar_definition]) ).
fof(f2227,plain,
( e20 = h3(e10)
| ~ spl42_241 ),
inference(avatar_component_clause,[],[f2226]) ).
fof(f2228,plain,
( e20 != h3(e10)
| spl42_241 ),
inference(avatar_component_clause,[],[f2226]) ).
fof(f2229,plain,
( spl42_168
| spl42_172
| spl42_176
| ~ spl42_241
| ~ spl42_225
| ~ spl42_226
| ~ spl42_227
| ~ spl42_228
| ~ spl42_229
| ~ spl42_230
| ~ spl42_231
| ~ spl42_232
| ~ spl42_233
| ~ spl42_234
| ~ spl42_235
| ~ spl42_236
| ~ spl42_237
| ~ spl42_238
| ~ spl42_239
| ~ spl42_240 ),
inference(avatar_split_clause,[],[f2141,f2220,f2216,f2212,f2208,f2204,f2200,f2196,f2192,f2188,f2184,f2180,f2176,f2172,f2168,f2164,f2160,f2226,f1680,f1660,f1640]) ).
fof(f2308,definition,
( spl42_260
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(definition,[new_symbols(definition,[spl42_260])],[avatar_definition]) ).
fof(f2309,plain,
( h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
| ~ spl42_260 ),
inference(avatar_component_clause,[],[f2308]) ).
fof(f2310,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl42_260 ),
inference(avatar_component_clause,[],[f2308]) ).
fof(f2374,definition,
( spl42_276
<=> e20 = h1(e10) ),
introduced(definition,[new_symbols(definition,[spl42_276])],[avatar_definition]) ).
fof(f2375,plain,
( e20 = h1(e10)
| ~ spl42_276 ),
inference(avatar_component_clause,[],[f2374]) ).
fof(f2376,plain,
( e20 != h1(e10)
| spl42_276 ),
inference(avatar_component_clause,[],[f2374]) ).
fof(f2459,plain,
( e12 = e13
| ~ spl42_140 ),
inference(forward_demodulation,[],[f1405,f178]) ).
fof(f2471,plain,
( $false
| ~ spl42_140 ),
inference(forward_subsumption_resolution,[],[f2459,f172]) ).
fof(f2472,plain,
~ spl42_140,
inference(avatar_contradiction_clause,[],[f2471]) ).
fof(f2489,plain,
( e10 = e13
| ~ spl42_73
| ~ spl42_76 ),
inference(forward_demodulation,[],[f1086,f1098]) ).
fof(f2499,plain,
( e13 = op1(e13,e12)
| ~ spl42_70
| ~ spl42_148 ),
inference(forward_demodulation,[],[f1439,f1073]) ).
fof(f2500,plain,
( $false
| ~ spl42_73
| ~ spl42_76 ),
inference(forward_subsumption_resolution,[],[f2489,f175]) ).
fof(f2501,plain,
( ~ spl42_73
| ~ spl42_76 ),
inference(avatar_contradiction_clause,[],[f2500]) ).
fof(f2508,plain,
( e10 = e13
| ~ spl42_68
| ~ spl42_70
| ~ spl42_148 ),
inference(forward_demodulation,[],[f2499,f1064]) ).
fof(f2515,plain,
( $false
| ~ spl42_68
| ~ spl42_70
| ~ spl42_148 ),
inference(forward_subsumption_resolution,[],[f2508,f175]) ).
fof(f2516,plain,
( ~ spl42_68
| ~ spl42_70
| ~ spl42_148 ),
inference(avatar_contradiction_clause,[],[f2515]) ).
fof(f2522,plain,
( e12 = e13
| ~ spl42_93
| ~ spl42_94 ),
inference(forward_demodulation,[],[f1171,f1175]) ).
fof(f2524,plain,
( e12 = e13
| ~ spl42_73
| ~ spl42_74 ),
inference(forward_demodulation,[],[f1086,f1090]) ).
fof(f2530,plain,
( $false
| ~ spl42_93
| ~ spl42_94 ),
inference(forward_subsumption_resolution,[],[f2522,f172]) ).
fof(f2531,plain,
( ~ spl42_93
| ~ spl42_94 ),
inference(avatar_contradiction_clause,[],[f2530]) ).
fof(f2532,plain,
( $false
| ~ spl42_73
| ~ spl42_74 ),
inference(forward_subsumption_resolution,[],[f2524,f172]) ).
fof(f2533,plain,
( ~ spl42_73
| ~ spl42_74 ),
inference(avatar_contradiction_clause,[],[f2532]) ).
fof(f2542,plain,
( e11 = e12
| ~ spl42_62
| ~ spl42_63 ),
inference(forward_demodulation,[],[f1039,f1043]) ).
fof(f2547,plain,
( e11 = e13
| ~ spl42_93
| ~ spl42_95 ),
inference(forward_demodulation,[],[f1171,f1179]) ).
fof(f2550,plain,
( $false
| ~ spl42_62
| ~ spl42_63 ),
inference(forward_subsumption_resolution,[],[f2542,f174]) ).
fof(f2551,plain,
( ~ spl42_62
| ~ spl42_63 ),
inference(avatar_contradiction_clause,[],[f2550]) ).
fof(f2554,plain,
( $false
| ~ spl42_93
| ~ spl42_95 ),
inference(forward_subsumption_resolution,[],[f2547,f173]) ).
fof(f2555,plain,
( ~ spl42_93
| ~ spl42_95 ),
inference(avatar_contradiction_clause,[],[f2554]) ).
fof(f2563,plain,
( e11 = e12
| ~ spl42_70
| ~ spl42_71 ),
inference(forward_demodulation,[],[f1073,f1077]) ).
fof(f2565,plain,
( e10 = e13
| ~ spl42_77
| ~ spl42_80 ),
inference(forward_demodulation,[],[f1103,f1115]) ).
fof(f2566,plain,
( e10 = e12
| ~ spl42_78
| ~ spl42_80 ),
inference(forward_demodulation,[],[f1107,f1115]) ).
fof(f2573,plain,
( e13 = op1(e13,e13)
| ~ spl42_65
| ~ spl42_144 ),
inference(forward_demodulation,[],[f1422,f1052]) ).
fof(f2574,plain,
( $false
| ~ spl42_70
| ~ spl42_71 ),
inference(forward_subsumption_resolution,[],[f2563,f174]) ).
fof(f2575,plain,
( ~ spl42_70
| ~ spl42_71 ),
inference(avatar_contradiction_clause,[],[f2574]) ).
fof(f2578,plain,
( $false
| ~ spl42_77
| ~ spl42_80 ),
inference(forward_subsumption_resolution,[],[f2565,f175]) ).
fof(f2579,plain,
( ~ spl42_77
| ~ spl42_80 ),
inference(avatar_contradiction_clause,[],[f2578]) ).
fof(f2580,plain,
( $false
| ~ spl42_78
| ~ spl42_80 ),
inference(forward_subsumption_resolution,[],[f2566,f176]) ).
fof(f2581,plain,
( ~ spl42_78
| ~ spl42_80 ),
inference(avatar_contradiction_clause,[],[f2580]) ).
fof(f2587,plain,
( e11 = e13
| ~ spl42_63
| ~ spl42_65
| ~ spl42_144 ),
inference(forward_demodulation,[],[f2573,f1043]) ).
fof(f2590,plain,
( $false
| ~ spl42_63
| ~ spl42_65
| ~ spl42_144 ),
inference(forward_subsumption_resolution,[],[f2587,f173]) ).
fof(f2591,plain,
( ~ spl42_63
| ~ spl42_65
| ~ spl42_144 ),
inference(avatar_contradiction_clause,[],[f2590]) ).
fof(f2596,plain,
( e11 = e12
| ~ spl42_94
| ~ spl42_95 ),
inference(forward_demodulation,[],[f1175,f1179]) ).
fof(f2599,plain,
( e12 = op1(e12,e10)
| ~ spl42_80
| ~ spl42_141 ),
inference(forward_demodulation,[],[f1409,f1115]) ).
fof(f2604,plain,
( e12 = op1(e12,e11)
| ~ spl42_87
| ~ spl42_149 ),
inference(forward_demodulation,[],[f1443,f1145]) ).
fof(f2609,plain,
( $false
| ~ spl42_94
| ~ spl42_95 ),
inference(forward_subsumption_resolution,[],[f2596,f174]) ).
fof(f2610,plain,
( ~ spl42_94
| ~ spl42_95 ),
inference(avatar_contradiction_clause,[],[f2609]) ).
fof(f2615,plain,
( $false
| spl42_86
| ~ spl42_87
| ~ spl42_149 ),
inference(forward_subsumption_resolution,[],[f2604,f1140]) ).
fof(f2616,plain,
( spl42_86
| ~ spl42_87
| ~ spl42_149 ),
inference(avatar_contradiction_clause,[],[f2615]) ).
fof(f2619,plain,
( e10 = e12
| ~ spl42_70
| ~ spl42_72 ),
inference(forward_demodulation,[],[f1073,f1081]) ).
fof(f2634,plain,
( $false
| ~ spl42_70
| ~ spl42_72 ),
inference(forward_subsumption_resolution,[],[f2619,f176]) ).
fof(f2635,plain,
( ~ spl42_70
| ~ spl42_72 ),
inference(avatar_contradiction_clause,[],[f2634]) ).
fof(f2649,plain,
( e11 = e12
| ~ spl42_98
| ~ spl42_99 ),
inference(forward_demodulation,[],[f1192,f1196]) ).
fof(f2654,plain,
( e11 = op1(e11,e13)
| ~ spl42_101
| ~ spl42_150 ),
inference(forward_demodulation,[],[f1447,f1205]) ).
fof(f2658,plain,
( e10 = e12
| ~ spl42_110
| ~ spl42_112 ),
inference(forward_demodulation,[],[f1243,f1251]) ).
fof(f2664,plain,
( e12 = e13
| ~ spl42_69
| ~ spl42_70 ),
inference(forward_demodulation,[],[f1069,f1073]) ).
fof(f2669,plain,
( $false
| ~ spl42_98
| ~ spl42_99 ),
inference(forward_subsumption_resolution,[],[f2649,f174]) ).
fof(f2670,plain,
( ~ spl42_98
| ~ spl42_99 ),
inference(avatar_contradiction_clause,[],[f2669]) ).
fof(f2673,plain,
( spl42_95
| ~ spl42_101
| ~ spl42_150 ),
inference(avatar_split_clause,[],[f2654,f1445,f1203,f1177]) ).
fof(f2675,plain,
( $false
| ~ spl42_110
| ~ spl42_112 ),
inference(forward_subsumption_resolution,[],[f2658,f176]) ).
fof(f2676,plain,
( ~ spl42_110
| ~ spl42_112 ),
inference(avatar_contradiction_clause,[],[f2675]) ).
fof(f2678,plain,
( $false
| ~ spl42_69
| ~ spl42_70 ),
inference(forward_subsumption_resolution,[],[f2664,f172]) ).
fof(f2679,plain,
( ~ spl42_69
| ~ spl42_70 ),
inference(avatar_contradiction_clause,[],[f2678]) ).
fof(f2687,plain,
( e10 = e13
| ~ spl42_109
| ~ spl42_112 ),
inference(forward_demodulation,[],[f1239,f1251]) ).
fof(f2699,plain,
( $false
| ~ spl42_109
| ~ spl42_112 ),
inference(forward_subsumption_resolution,[],[f2687,f175]) ).
fof(f2700,plain,
( ~ spl42_109
| ~ spl42_112 ),
inference(avatar_contradiction_clause,[],[f2699]) ).
fof(f2733,plain,
( e20 = e22
| ~ spl42_2
| ~ spl42_4 ),
inference(superposition,[],[f634,f626]) ).
fof(f2737,plain,
( $false
| ~ spl42_2
| ~ spl42_4 ),
inference(forward_subsumption_resolution,[],[f2733,f500]) ).
fof(f2738,plain,
( ~ spl42_2
| ~ spl42_4 ),
inference(avatar_contradiction_clause,[],[f2737]) ).
fof(f2741,plain,
( e22 = e23
| ~ spl42_5
| ~ spl42_6 ),
inference(superposition,[],[f643,f639]) ).
fof(f2745,plain,
( $false
| ~ spl42_5
| ~ spl42_6 ),
inference(forward_subsumption_resolution,[],[f2741,f496]) ).
fof(f2746,plain,
( ~ spl42_5
| ~ spl42_6 ),
inference(avatar_contradiction_clause,[],[f2745]) ).
fof(f2747,plain,
( e22 = e23
| ~ spl42_1
| ~ spl42_2 ),
inference(forward_demodulation,[],[f622,f626]) ).
fof(f2753,plain,
( $false
| ~ spl42_1
| ~ spl42_2 ),
inference(forward_subsumption_resolution,[],[f2747,f496]) ).
fof(f2754,plain,
( ~ spl42_1
| ~ spl42_2 ),
inference(avatar_contradiction_clause,[],[f2753]) ).
fof(f2759,plain,
( e21 = e23
| ~ spl42_9
| ~ spl42_11 ),
inference(forward_demodulation,[],[f656,f664]) ).
fof(f2763,plain,
( $false
| ~ spl42_9
| ~ spl42_11 ),
inference(forward_subsumption_resolution,[],[f2759,f497]) ).
fof(f2764,plain,
( ~ spl42_9
| ~ spl42_11 ),
inference(avatar_contradiction_clause,[],[f2763]) ).
fof(f2770,plain,
( e20 = e21
| ~ spl42_23
| ~ spl42_24 ),
inference(forward_demodulation,[],[f716,f720]) ).
fof(f2772,plain,
( $false
| ~ spl42_23
| ~ spl42_24 ),
inference(forward_subsumption_resolution,[],[f2770,f501]) ).
fof(f2773,plain,
( ~ spl42_23
| ~ spl42_24 ),
inference(avatar_contradiction_clause,[],[f2772]) ).
fof(f2780,plain,
( e21 = e22
| ~ spl42_14
| ~ spl42_15 ),
inference(superposition,[],[f681,f677]) ).
fof(f2784,plain,
( $false
| ~ spl42_14
| ~ spl42_15 ),
inference(forward_subsumption_resolution,[],[f2780,f498]) ).
fof(f2785,plain,
( ~ spl42_14
| ~ spl42_15 ),
inference(avatar_contradiction_clause,[],[f2784]) ).
fof(f2804,plain,
( e20 = e23
| ~ spl42_25
| ~ spl42_28 ),
inference(superposition,[],[f737,f725]) ).
fof(f2808,plain,
( $false
| ~ spl42_25
| ~ spl42_28 ),
inference(forward_subsumption_resolution,[],[f2804,f499]) ).
fof(f2809,plain,
( ~ spl42_25
| ~ spl42_28 ),
inference(avatar_contradiction_clause,[],[f2808]) ).
fof(f2819,plain,
( e21 = e23
| ~ spl42_170
| ~ spl42_178 ),
inference(superposition,[],[f1690,f1650]) ).
fof(f2823,plain,
( $false
| ~ spl42_170
| ~ spl42_178 ),
inference(forward_subsumption_resolution,[],[f2819,f497]) ).
fof(f2824,plain,
( ~ spl42_170
| ~ spl42_178 ),
inference(avatar_contradiction_clause,[],[f2823]) ).
fof(f2828,plain,
( e21 = e23
| ~ spl42_29
| ~ spl42_31 ),
inference(superposition,[],[f750,f742]) ).
fof(f2832,plain,
( $false
| ~ spl42_29
| ~ spl42_31 ),
inference(forward_subsumption_resolution,[],[f2828,f497]) ).
fof(f2833,plain,
( ~ spl42_29
| ~ spl42_31 ),
inference(avatar_contradiction_clause,[],[f2832]) ).
fof(f2835,plain,
( e21 = e22
| ~ spl42_34
| ~ spl42_35 ),
inference(superposition,[],[f768,f764]) ).
fof(f2839,plain,
( $false
| ~ spl42_34
| ~ spl42_35 ),
inference(forward_subsumption_resolution,[],[f2835,f498]) ).
fof(f2840,plain,
( ~ spl42_34
| ~ spl42_35 ),
inference(avatar_contradiction_clause,[],[f2839]) ).
fof(f2841,plain,
( e20 = e22
| ~ spl42_22
| ~ spl42_24 ),
inference(forward_demodulation,[],[f712,f720]) ).
fof(f2843,plain,
( $false
| ~ spl42_22
| ~ spl42_24 ),
inference(forward_subsumption_resolution,[],[f2841,f500]) ).
fof(f2844,plain,
( ~ spl42_22
| ~ spl42_24 ),
inference(avatar_contradiction_clause,[],[f2843]) ).
fof(f2846,plain,
( e22 = e23
| ~ spl42_9
| ~ spl42_10 ),
inference(superposition,[],[f660,f656]) ).
fof(f2852,plain,
( $false
| ~ spl42_9
| ~ spl42_10 ),
inference(forward_subsumption_resolution,[],[f2846,f496]) ).
fof(f2853,plain,
( ~ spl42_9
| ~ spl42_10 ),
inference(avatar_contradiction_clause,[],[f2852]) ).
fof(f2860,plain,
( e22 = e23
| ~ spl42_194
| ~ spl42_198 ),
inference(superposition,[],[f1790,f1770]) ).
fof(f2861,plain,
( e22 = e23
| ~ spl42_194
| ~ spl42_198 ),
inference(superposition,[],[f1770,f1790]) ).
fof(f2862,plain,
( $false
| ~ spl42_194
| ~ spl42_198 ),
inference(forward_subsumption_resolution,[],[f2861,f496]) ).
fof(f2863,plain,
( ~ spl42_194
| ~ spl42_198 ),
inference(avatar_contradiction_clause,[],[f2862]) ).
fof(f2864,plain,
( $false
| ~ spl42_194
| ~ spl42_198 ),
inference(forward_subsumption_resolution,[],[f2860,f496]) ).
fof(f2865,plain,
( ~ spl42_194
| ~ spl42_198 ),
inference(avatar_contradiction_clause,[],[f2864]) ).
fof(f2881,plain,
( e22 = e23
| ~ spl42_25
| ~ spl42_26 ),
inference(superposition,[],[f729,f725]) ).
fof(f2885,plain,
( $false
| ~ spl42_25
| ~ spl42_26 ),
inference(forward_subsumption_resolution,[],[f2881,f496]) ).
fof(f2886,plain,
( ~ spl42_25
| ~ spl42_26 ),
inference(avatar_contradiction_clause,[],[f2885]) ).
fof(f2887,plain,
( e21 = e23
| ~ spl42_13
| ~ spl42_15 ),
inference(forward_demodulation,[],[f673,f681]) ).
fof(f2891,plain,
( $false
| ~ spl42_13
| ~ spl42_15 ),
inference(forward_subsumption_resolution,[],[f2887,f497]) ).
fof(f2892,plain,
( ~ spl42_13
| ~ spl42_15 ),
inference(avatar_contradiction_clause,[],[f2891]) ).
fof(f2894,plain,
( e21 = e23
| ~ spl42_158
| ~ spl42_166 ),
inference(forward_demodulation,[],[f1590,f1630]) ).
fof(f2895,plain,
( $false
| ~ spl42_158
| ~ spl42_166 ),
inference(forward_subsumption_resolution,[],[f2894,f497]) ).
fof(f2896,plain,
( ~ spl42_158
| ~ spl42_166 ),
inference(avatar_contradiction_clause,[],[f2895]) ).
fof(f2897,plain,
( e22 = e23
| ~ spl42_37
| ~ spl42_38 ),
inference(forward_demodulation,[],[f777,f781]) ).
fof(f2899,plain,
( $false
| ~ spl42_37
| ~ spl42_38 ),
inference(forward_subsumption_resolution,[],[f2897,f496]) ).
fof(f2900,plain,
( ~ spl42_37
| ~ spl42_38 ),
inference(avatar_contradiction_clause,[],[f2899]) ).
fof(f2902,plain,
( e21 = e23
| ~ spl42_37
| ~ spl42_39 ),
inference(forward_demodulation,[],[f777,f785]) ).
fof(f2903,plain,
( $false
| ~ spl42_37
| ~ spl42_39 ),
inference(forward_subsumption_resolution,[],[f2902,f497]) ).
fof(f2904,plain,
( ~ spl42_37
| ~ spl42_39 ),
inference(avatar_contradiction_clause,[],[f2903]) ).
fof(f2907,plain,
( e20 = e23
| ~ spl42_37
| ~ spl42_40 ),
inference(forward_demodulation,[],[f777,f789]) ).
fof(f2908,plain,
( $false
| ~ spl42_37
| ~ spl42_40 ),
inference(forward_subsumption_resolution,[],[f2907,f499]) ).
fof(f2909,plain,
( ~ spl42_37
| ~ spl42_40 ),
inference(avatar_contradiction_clause,[],[f2908]) ).
fof(f2917,plain,
( e21 = e22
| ~ spl42_22
| ~ spl42_23 ),
inference(forward_demodulation,[],[f712,f716]) ).
fof(f2918,plain,
( e20 = e22
| ~ spl42_42
| ~ spl42_44 ),
inference(forward_demodulation,[],[f798,f806]) ).
fof(f2923,plain,
( $false
| ~ spl42_22
| ~ spl42_23 ),
inference(forward_subsumption_resolution,[],[f2917,f498]) ).
fof(f2924,plain,
( ~ spl42_22
| ~ spl42_23 ),
inference(avatar_contradiction_clause,[],[f2923]) ).
fof(f2925,plain,
( $false
| ~ spl42_42
| ~ spl42_44 ),
inference(forward_subsumption_resolution,[],[f2918,f500]) ).
fof(f2926,plain,
( ~ spl42_42
| ~ spl42_44 ),
inference(avatar_contradiction_clause,[],[f2925]) ).
fof(f2934,plain,
( e21 = e22
| ~ spl42_46
| ~ spl42_47 ),
inference(forward_demodulation,[],[f815,f819]) ).
fof(f2936,plain,
( $false
| ~ spl42_46
| ~ spl42_47 ),
inference(forward_subsumption_resolution,[],[f2934,f498]) ).
fof(f2937,plain,
( ~ spl42_46
| ~ spl42_47 ),
inference(avatar_contradiction_clause,[],[f2936]) ).
fof(f2953,plain,
( e21 = e23
| ~ spl42_33
| ~ spl42_35 ),
inference(forward_demodulation,[],[f760,f768]) ).
fof(f2954,plain,
( $false
| ~ spl42_33
| ~ spl42_35 ),
inference(forward_subsumption_resolution,[],[f2953,f497]) ).
fof(f2955,plain,
( ~ spl42_33
| ~ spl42_35 ),
inference(avatar_contradiction_clause,[],[f2954]) ).
fof(f2968,plain,
( e20 = e23
| ~ spl42_9
| ~ spl42_12 ),
inference(forward_demodulation,[],[f656,f668]) ).
fof(f2979,plain,
( $false
| ~ spl42_9
| ~ spl42_12 ),
inference(forward_subsumption_resolution,[],[f2968,f499]) ).
fof(f2980,plain,
( ~ spl42_9
| ~ spl42_12 ),
inference(avatar_contradiction_clause,[],[f2979]) ).
fof(f2982,plain,
( e20 = e22
| ~ spl42_10
| ~ spl42_12 ),
inference(forward_demodulation,[],[f660,f668]) ).
fof(f2983,plain,
( e20 = e22
| ~ spl42_38
| ~ spl42_40 ),
inference(forward_demodulation,[],[f781,f789]) ).
fof(f2989,plain,
( $false
| ~ spl42_10
| ~ spl42_12 ),
inference(forward_subsumption_resolution,[],[f2982,f500]) ).
fof(f2990,plain,
( ~ spl42_10
| ~ spl42_12 ),
inference(avatar_contradiction_clause,[],[f2989]) ).
fof(f2991,plain,
( $false
| ~ spl42_38
| ~ spl42_40 ),
inference(forward_subsumption_resolution,[],[f2983,f500]) ).
fof(f2992,plain,
( ~ spl42_38
| ~ spl42_40 ),
inference(avatar_contradiction_clause,[],[f2991]) ).
fof(f2996,plain,
( e21 = e22
| ~ spl42_30
| ~ spl42_31 ),
inference(forward_demodulation,[],[f746,f750]) ).
fof(f3001,plain,
( $false
| ~ spl42_30
| ~ spl42_31 ),
inference(forward_subsumption_resolution,[],[f2996,f498]) ).
fof(f3002,plain,
( ~ spl42_30
| ~ spl42_31 ),
inference(avatar_contradiction_clause,[],[f3001]) ).
fof(f3006,plain,
( e20 = e21
| ~ spl42_43
| ~ spl42_44 ),
inference(forward_demodulation,[],[f802,f806]) ).
fof(f3007,plain,
( $false
| ~ spl42_43
| ~ spl42_44 ),
inference(forward_subsumption_resolution,[],[f3006,f501]) ).
fof(f3008,plain,
( ~ spl42_43
| ~ spl42_44 ),
inference(avatar_contradiction_clause,[],[f3007]) ).
fof(f3013,plain,
( e20 = e23
| ~ spl42_13
| ~ spl42_16 ),
inference(superposition,[],[f685,f673]) ).
fof(f3017,plain,
( $false
| ~ spl42_13
| ~ spl42_16 ),
inference(forward_subsumption_resolution,[],[f3013,f499]) ).
fof(f3018,plain,
( ~ spl42_13
| ~ spl42_16 ),
inference(avatar_contradiction_clause,[],[f3017]) ).
fof(f3036,plain,
( e20 = e21
| ~ spl42_35
| ~ spl42_36 ),
inference(superposition,[],[f772,f768]) ).
fof(f3037,plain,
( e20 = e21
| ~ spl42_35
| ~ spl42_36 ),
inference(superposition,[],[f768,f772]) ).
fof(f3038,plain,
( $false
| ~ spl42_35
| ~ spl42_36 ),
inference(forward_subsumption_resolution,[],[f3037,f501]) ).
fof(f3039,plain,
( ~ spl42_35
| ~ spl42_36 ),
inference(avatar_contradiction_clause,[],[f3038]) ).
fof(f3040,plain,
( $false
| ~ spl42_35
| ~ spl42_36 ),
inference(forward_subsumption_resolution,[],[f3036,f501]) ).
fof(f3041,plain,
( ~ spl42_35
| ~ spl42_36 ),
inference(avatar_contradiction_clause,[],[f3040]) ).
fof(f3064,plain,
( e22 = e23
| ~ spl42_170
| ~ spl42_174 ),
inference(superposition,[],[f1670,f1650]) ).
fof(f3068,plain,
( $false
| ~ spl42_170
| ~ spl42_174 ),
inference(forward_subsumption_resolution,[],[f3064,f496]) ).
fof(f3069,plain,
( ~ spl42_170
| ~ spl42_174 ),
inference(avatar_contradiction_clause,[],[f3068]) ).
fof(f3070,plain,
( e20 = e22
| ~ spl42_14
| ~ spl42_16 ),
inference(forward_demodulation,[],[f677,f685]) ).
fof(f3072,plain,
( $false
| ~ spl42_14
| ~ spl42_16 ),
inference(forward_subsumption_resolution,[],[f3070,f500]) ).
fof(f3073,plain,
( ~ spl42_14
| ~ spl42_16 ),
inference(avatar_contradiction_clause,[],[f3072]) ).
fof(f3081,plain,
( e22 = e23
| ~ spl42_29
| ~ spl42_30 ),
inference(forward_demodulation,[],[f742,f746]) ).
fof(f3086,plain,
( $false
| ~ spl42_29
| ~ spl42_30 ),
inference(forward_subsumption_resolution,[],[f3081,f496]) ).
fof(f3087,plain,
( ~ spl42_29
| ~ spl42_30 ),
inference(avatar_contradiction_clause,[],[f3086]) ).
fof(f3094,plain,
( e20 = e21
| ~ spl42_31
| ~ spl42_32 ),
inference(forward_demodulation,[],[f750,f754]) ).
fof(f3097,plain,
( $false
| ~ spl42_31
| ~ spl42_32 ),
inference(forward_subsumption_resolution,[],[f3094,f501]) ).
fof(f3098,plain,
( ~ spl42_31
| ~ spl42_32 ),
inference(avatar_contradiction_clause,[],[f3097]) ).
fof(f3099,plain,
( e20 = e22
| ~ spl42_30
| ~ spl42_32 ),
inference(forward_demodulation,[],[f746,f754]) ).
fof(f3103,plain,
( $false
| ~ spl42_30
| ~ spl42_32 ),
inference(forward_subsumption_resolution,[],[f3099,f500]) ).
fof(f3104,plain,
( ~ spl42_30
| ~ spl42_32 ),
inference(avatar_contradiction_clause,[],[f3103]) ).
fof(f3105,plain,
( e21 = e23
| ~ spl42_1
| ~ spl42_3 ),
inference(forward_demodulation,[],[f622,f630]) ).
fof(f3111,plain,
( $false
| ~ spl42_1
| ~ spl42_3 ),
inference(forward_subsumption_resolution,[],[f3105,f497]) ).
fof(f3112,plain,
( ~ spl42_1
| ~ spl42_3 ),
inference(avatar_contradiction_clause,[],[f3111]) ).
fof(f3115,plain,
( e21 = op2(e21,e20)
| ~ spl42_32
| ~ spl42_215 ),
inference(forward_demodulation,[],[f1907,f754]) ).
fof(f3140,plain,
( e20 = e21
| ~ spl42_19
| ~ spl42_20 ),
inference(superposition,[],[f703,f699]) ).
fof(f3145,plain,
( $false
| ~ spl42_19
| ~ spl42_20 ),
inference(forward_subsumption_resolution,[],[f3140,f501]) ).
fof(f3146,plain,
( ~ spl42_19
| ~ spl42_20 ),
inference(avatar_contradiction_clause,[],[f3145]) ).
fof(f3148,plain,
( e21 = e23
| ~ spl42_17
| ~ spl42_19 ),
inference(forward_demodulation,[],[f691,f699]) ).
fof(f3156,plain,
( $false
| ~ spl42_17
| ~ spl42_19 ),
inference(forward_subsumption_resolution,[],[f3148,f497]) ).
fof(f3157,plain,
( ~ spl42_17
| ~ spl42_19 ),
inference(avatar_contradiction_clause,[],[f3156]) ).
fof(f3161,plain,
( e22 = e23
| ~ spl42_13
| ~ spl42_14 ),
inference(forward_demodulation,[],[f673,f677]) ).
fof(f3163,plain,
( $false
| ~ spl42_13
| ~ spl42_14 ),
inference(forward_subsumption_resolution,[],[f3161,f496]) ).
fof(f3164,plain,
( ~ spl42_13
| ~ spl42_14 ),
inference(avatar_contradiction_clause,[],[f3163]) ).
fof(f3173,plain,
( e20 = e21
| ~ spl42_39
| ~ spl42_40 ),
inference(superposition,[],[f789,f785]) ).
fof(f3178,plain,
( $false
| ~ spl42_39
| ~ spl42_40 ),
inference(forward_subsumption_resolution,[],[f3173,f501]) ).
fof(f3179,plain,
( ~ spl42_39
| ~ spl42_40 ),
inference(avatar_contradiction_clause,[],[f3178]) ).
fof(f3182,plain,
( e21 = e22
| ~ spl42_162
| ~ spl42_166 ),
inference(superposition,[],[f1630,f1610]) ).
fof(f3187,plain,
( $false
| ~ spl42_162
| ~ spl42_166 ),
inference(forward_subsumption_resolution,[],[f3182,f498]) ).
fof(f3188,plain,
( ~ spl42_162
| ~ spl42_166 ),
inference(avatar_contradiction_clause,[],[f3187]) ).
fof(f3189,plain,
( e20 = e22
| ~ spl42_6
| ~ spl42_8 ),
inference(forward_demodulation,[],[f643,f651]) ).
fof(f3198,plain,
( $false
| ~ spl42_6
| ~ spl42_8 ),
inference(forward_subsumption_resolution,[],[f3189,f500]) ).
fof(f3199,plain,
( ~ spl42_6
| ~ spl42_8 ),
inference(avatar_contradiction_clause,[],[f3198]) ).
fof(f3200,plain,
( e20 = e21
| ~ spl42_3
| ~ spl42_4 ),
inference(superposition,[],[f634,f630]) ).
fof(f3205,plain,
( $false
| ~ spl42_3
| ~ spl42_4 ),
inference(forward_subsumption_resolution,[],[f3200,f501]) ).
fof(f3206,plain,
( ~ spl42_3
| ~ spl42_4 ),
inference(avatar_contradiction_clause,[],[f3205]) ).
fof(f3214,plain,
( e21 = e23
| ~ spl42_41
| ~ spl42_43 ),
inference(superposition,[],[f802,f794]) ).
fof(f3219,plain,
( $false
| ~ spl42_41
| ~ spl42_43 ),
inference(forward_subsumption_resolution,[],[f3214,f497]) ).
fof(f3220,plain,
( ~ spl42_41
| ~ spl42_43 ),
inference(avatar_contradiction_clause,[],[f3219]) ).
fof(f3224,plain,
( e21 = e22
| ~ spl42_42
| ~ spl42_43 ),
inference(forward_demodulation,[],[f798,f802]) ).
fof(f3234,plain,
( e22 = op2(e22,e20)
| ~ spl42_24
| ~ spl42_221 ),
inference(forward_demodulation,[],[f1933,f720]) ).
fof(f3243,plain,
( $false
| ~ spl42_32
| spl42_35
| ~ spl42_215 ),
inference(forward_subsumption_resolution,[],[f3115,f767]) ).
fof(f3244,plain,
( ~ spl42_32
| spl42_35
| ~ spl42_215 ),
inference(avatar_contradiction_clause,[],[f3243]) ).
fof(f3249,plain,
( $false
| ~ spl42_42
| ~ spl42_43 ),
inference(forward_subsumption_resolution,[],[f3224,f498]) ).
fof(f3250,plain,
( ~ spl42_42
| ~ spl42_43 ),
inference(avatar_contradiction_clause,[],[f3249]) ).
fof(f3255,plain,
( e20 = e22
| ~ spl42_24
| ~ spl42_221 ),
inference(forward_demodulation,[],[f3234,f720]) ).
fof(f3259,plain,
( $false
| ~ spl42_24
| ~ spl42_221 ),
inference(forward_subsumption_resolution,[],[f3255,f500]) ).
fof(f3260,plain,
( ~ spl42_24
| ~ spl42_221 ),
inference(avatar_contradiction_clause,[],[f3259]) ).
fof(f3265,plain,
( e23 = op2(e23,e23)
| ~ spl42_1
| ~ spl42_214 ),
inference(forward_demodulation,[],[f1903,f622]) ).
fof(f3272,plain,
( e21 = e23
| ~ spl42_1
| ~ spl42_214 ),
inference(forward_demodulation,[],[f3265,f378]) ).
fof(f3274,plain,
( $false
| ~ spl42_1
| ~ spl42_214 ),
inference(forward_subsumption_resolution,[],[f3272,f497]) ).
fof(f3275,plain,
( ~ spl42_1
| ~ spl42_214 ),
inference(avatar_contradiction_clause,[],[f3274]) ).
fof(f3311,plain,
( e21 = e23
| ~ spl42_194
| ~ spl42_202 ),
inference(superposition,[],[f1810,f1770]) ).
fof(f3315,plain,
( $false
| ~ spl42_194
| ~ spl42_202 ),
inference(forward_subsumption_resolution,[],[f3311,f497]) ).
fof(f3316,plain,
( ~ spl42_194
| ~ spl42_202 ),
inference(avatar_contradiction_clause,[],[f3315]) ).
fof(f3333,plain,
( e20 = e22
| ~ spl42_46
| ~ spl42_48 ),
inference(forward_demodulation,[],[f815,f823]) ).
fof(f3341,plain,
( $false
| ~ spl42_46
| ~ spl42_48 ),
inference(forward_subsumption_resolution,[],[f3333,f500]) ).
fof(f3342,plain,
( ~ spl42_46
| ~ spl42_48 ),
inference(avatar_contradiction_clause,[],[f3341]) ).
fof(f3366,plain,
( e20 = e23
| ~ spl42_1
| ~ spl42_4 ),
inference(superposition,[],[f634,f622]) ).
fof(f3371,plain,
( $false
| ~ spl42_1
| ~ spl42_4 ),
inference(forward_subsumption_resolution,[],[f3366,f499]) ).
fof(f3372,plain,
( ~ spl42_1
| ~ spl42_4 ),
inference(avatar_contradiction_clause,[],[f3371]) ).
fof(f3377,plain,
( e20 = e21
| ~ spl42_47
| ~ spl42_48 ),
inference(forward_demodulation,[],[f819,f823]) ).
fof(f3387,plain,
( $false
| ~ spl42_47
| ~ spl42_48 ),
inference(forward_subsumption_resolution,[],[f3377,f501]) ).
fof(f3388,plain,
( ~ spl42_47
| ~ spl42_48 ),
inference(avatar_contradiction_clause,[],[f3387]) ).
fof(f3399,plain,
( e20 = e22
| ~ spl42_26
| ~ spl42_28 ),
inference(superposition,[],[f737,f729]) ).
fof(f3400,plain,
( e20 = e22
| ~ spl42_26
| ~ spl42_28 ),
inference(superposition,[],[f729,f737]) ).
fof(f3402,plain,
( $false
| ~ spl42_26
| ~ spl42_28 ),
inference(forward_subsumption_resolution,[],[f3400,f500]) ).
fof(f3403,plain,
( ~ spl42_26
| ~ spl42_28 ),
inference(avatar_contradiction_clause,[],[f3402]) ).
fof(f3404,plain,
( $false
| ~ spl42_26
| ~ spl42_28 ),
inference(forward_subsumption_resolution,[],[f3399,f500]) ).
fof(f3405,plain,
( ~ spl42_26
| ~ spl42_28 ),
inference(avatar_contradiction_clause,[],[f3404]) ).
fof(f3411,plain,
( e21 = e23
| ~ spl42_45
| ~ spl42_47 ),
inference(superposition,[],[f819,f811]) ).
fof(f3415,plain,
( $false
| ~ spl42_45
| ~ spl42_47 ),
inference(forward_subsumption_resolution,[],[f3411,f497]) ).
fof(f3416,plain,
( ~ spl42_45
| ~ spl42_47 ),
inference(avatar_contradiction_clause,[],[f3415]) ).
fof(f3420,plain,
( e10 = e11
| ~ spl42_63
| ~ spl42_64 ),
inference(superposition,[],[f1047,f1043]) ).
fof(f3424,plain,
( $false
| ~ spl42_63
| ~ spl42_64 ),
inference(forward_subsumption_resolution,[],[f3420,f177]) ).
fof(f3425,plain,
( ~ spl42_63
| ~ spl42_64 ),
inference(avatar_contradiction_clause,[],[f3424]) ).
fof(f3434,plain,
( e10 = e12
| ~ spl42_74
| ~ spl42_76 ),
inference(superposition,[],[f1098,f1090]) ).
fof(f3436,plain,
( e10 = e12
| ~ spl42_74
| ~ spl42_76 ),
inference(superposition,[],[f1090,f1098]) ).
fof(f3438,plain,
( $false
| ~ spl42_74
| ~ spl42_76 ),
inference(forward_subsumption_resolution,[],[f3436,f176]) ).
fof(f3439,plain,
( ~ spl42_74
| ~ spl42_76 ),
inference(avatar_contradiction_clause,[],[f3438]) ).
fof(f3440,plain,
( $false
| ~ spl42_74
| ~ spl42_76 ),
inference(forward_subsumption_resolution,[],[f3434,f176]) ).
fof(f3441,plain,
( ~ spl42_74
| ~ spl42_76 ),
inference(avatar_contradiction_clause,[],[f3440]) ).
fof(f3445,plain,
( e12 = op1(e12,e13)
| ~ spl42_81
| ~ spl42_145 ),
inference(forward_demodulation,[],[f1426,f1120]) ).
fof(f3448,plain,
( e10 = e12
| ~ spl42_80
| ~ spl42_81
| ~ spl42_145 ),
inference(forward_demodulation,[],[f3445,f1115]) ).
fof(f3449,plain,
( $false
| ~ spl42_80
| ~ spl42_81
| ~ spl42_145 ),
inference(forward_subsumption_resolution,[],[f3448,f176]) ).
fof(f3450,plain,
( ~ spl42_80
| ~ spl42_81
| ~ spl42_145 ),
inference(avatar_contradiction_clause,[],[f3449]) ).
fof(f3465,plain,
( e11 = e12
| ~ spl42_90
| ~ spl42_91 ),
inference(superposition,[],[f1162,f1158]) ).
fof(f3469,plain,
( $false
| ~ spl42_90
| ~ spl42_91 ),
inference(forward_subsumption_resolution,[],[f3465,f174]) ).
fof(f3470,plain,
( ~ spl42_90
| ~ spl42_91 ),
inference(avatar_contradiction_clause,[],[f3469]) ).
fof(f3472,plain,
( e10 = e12
| ~ spl42_90
| ~ spl42_92 ),
inference(superposition,[],[f1166,f1158]) ).
fof(f3476,plain,
( $false
| ~ spl42_90
| ~ spl42_92 ),
inference(forward_subsumption_resolution,[],[f3472,f176]) ).
fof(f3477,plain,
( ~ spl42_90
| ~ spl42_92 ),
inference(avatar_contradiction_clause,[],[f3476]) ).
fof(f3480,plain,
( e11 = e13
| ~ spl42_97
| ~ spl42_99 ),
inference(superposition,[],[f1196,f1188]) ).
fof(f3484,plain,
( $false
| ~ spl42_97
| ~ spl42_99 ),
inference(forward_subsumption_resolution,[],[f3480,f173]) ).
fof(f3485,plain,
( ~ spl42_97
| ~ spl42_99 ),
inference(avatar_contradiction_clause,[],[f3484]) ).
fof(f3489,plain,
( e10 = e11
| ~ spl42_99
| ~ spl42_100 ),
inference(superposition,[],[f1196,f1200]) ).
fof(f3490,plain,
( $false
| ~ spl42_99
| ~ spl42_100 ),
inference(forward_subsumption_resolution,[],[f3489,f177]) ).
fof(f3491,plain,
( ~ spl42_99
| ~ spl42_100 ),
inference(avatar_contradiction_clause,[],[f3490]) ).
fof(f3502,plain,
( e12 = e13
| ~ spl42_89
| ~ spl42_90 ),
inference(forward_demodulation,[],[f1154,f1158]) ).
fof(f3504,plain,
( $false
| ~ spl42_89
| ~ spl42_90 ),
inference(forward_subsumption_resolution,[],[f3502,f172]) ).
fof(f3505,plain,
( ~ spl42_89
| ~ spl42_90 ),
inference(avatar_contradiction_clause,[],[f3504]) ).
fof(f3507,plain,
( e11 = e13
| ~ spl42_121
| ~ spl42_123 ),
inference(forward_demodulation,[],[f1290,f1298]) ).
fof(f3510,plain,
( $false
| ~ spl42_121
| ~ spl42_123 ),
inference(forward_subsumption_resolution,[],[f3507,f173]) ).
fof(f3511,plain,
( ~ spl42_121
| ~ spl42_123 ),
inference(avatar_contradiction_clause,[],[f3510]) ).
fof(f3516,plain,
( e11 = e12
| ~ spl42_106
| ~ spl42_107 ),
inference(superposition,[],[f1230,f1226]) ).
fof(f3520,plain,
( $false
| ~ spl42_106
| ~ spl42_107 ),
inference(forward_subsumption_resolution,[],[f3516,f174]) ).
fof(f3521,plain,
( ~ spl42_106
| ~ spl42_107 ),
inference(avatar_contradiction_clause,[],[f3520]) ).
fof(f3542,plain,
( e11 = e13
| ~ spl42_85
| ~ spl42_87 ),
inference(forward_demodulation,[],[f1137,f1145]) ).
fof(f3543,plain,
( e12 = e13
| ~ spl42_109
| ~ spl42_110 ),
inference(forward_demodulation,[],[f1239,f1243]) ).
fof(f3552,plain,
( $false
| ~ spl42_80
| spl42_90
| ~ spl42_141 ),
inference(forward_subsumption_resolution,[],[f2599,f1157]) ).
fof(f3553,plain,
( ~ spl42_80
| spl42_90
| ~ spl42_141 ),
inference(avatar_contradiction_clause,[],[f3552]) ).
fof(f3563,plain,
( e12 != op1(e12,e12)
| ~ spl42_82
| spl42_145 ),
inference(forward_demodulation,[],[f1425,f1124]) ).
fof(f3566,plain,
( $false
| ~ spl42_85
| ~ spl42_87 ),
inference(forward_subsumption_resolution,[],[f3542,f173]) ).
fof(f3567,plain,
( ~ spl42_85
| ~ spl42_87 ),
inference(avatar_contradiction_clause,[],[f3566]) ).
fof(f3568,plain,
( $false
| ~ spl42_109
| ~ spl42_110 ),
inference(forward_subsumption_resolution,[],[f3543,f172]) ).
fof(f3569,plain,
( ~ spl42_109
| ~ spl42_110 ),
inference(avatar_contradiction_clause,[],[f3568]) ).
fof(f3573,plain,
( $false
| ~ spl42_82
| spl42_145 ),
inference(forward_subsumption_resolution,[],[f3563,f1124]) ).
fof(f3574,plain,
( ~ spl42_82
| spl42_145 ),
inference(avatar_contradiction_clause,[],[f3573]) ).
fof(f3587,plain,
( e11 = e12
| ~ spl42_102
| ~ spl42_103 ),
inference(forward_demodulation,[],[f1209,f1213]) ).
fof(f3598,plain,
( $false
| ~ spl42_102
| ~ spl42_103 ),
inference(forward_subsumption_resolution,[],[f3587,f174]) ).
fof(f3599,plain,
( ~ spl42_102
| ~ spl42_103 ),
inference(avatar_contradiction_clause,[],[f3598]) ).
fof(f3614,plain,
( e11 = e12
| ~ spl42_82
| ~ spl42_83 ),
inference(superposition,[],[f1128,f1124]) ).
fof(f3619,plain,
( $false
| ~ spl42_82
| ~ spl42_83 ),
inference(forward_subsumption_resolution,[],[f3614,f174]) ).
fof(f3620,plain,
( ~ spl42_82
| ~ spl42_83 ),
inference(avatar_contradiction_clause,[],[f3619]) ).
fof(f3621,plain,
( e10 = e11
| ~ spl42_79
| ~ spl42_80 ),
inference(forward_demodulation,[],[f1111,f1115]) ).
fof(f3623,plain,
( $false
| ~ spl42_79
| ~ spl42_80 ),
inference(forward_subsumption_resolution,[],[f3621,f177]) ).
fof(f3624,plain,
( ~ spl42_79
| ~ spl42_80 ),
inference(avatar_contradiction_clause,[],[f3623]) ).
fof(f3626,plain,
( e10 = e11
| ~ spl42_91
| ~ spl42_92 ),
inference(forward_demodulation,[],[f1162,f1166]) ).
fof(f3627,plain,
( $false
| ~ spl42_91
| ~ spl42_92 ),
inference(forward_subsumption_resolution,[],[f3626,f177]) ).
fof(f3628,plain,
( ~ spl42_91
| ~ spl42_92 ),
inference(avatar_contradiction_clause,[],[f3627]) ).
fof(f3629,plain,
( e10 = e13
| ~ spl42_89
| ~ spl42_92 ),
inference(forward_demodulation,[],[f1154,f1166]) ).
fof(f3631,plain,
( $false
| ~ spl42_89
| ~ spl42_92 ),
inference(forward_subsumption_resolution,[],[f3629,f175]) ).
fof(f3632,plain,
( ~ spl42_89
| ~ spl42_92 ),
inference(avatar_contradiction_clause,[],[f3631]) ).
fof(f3635,plain,
( e11 = e12
| ~ spl42_86
| ~ spl42_87 ),
inference(forward_demodulation,[],[f1141,f1145]) ).
fof(f3644,plain,
( $false
| ~ spl42_86
| ~ spl42_87 ),
inference(forward_subsumption_resolution,[],[f3635,f174]) ).
fof(f3645,plain,
( ~ spl42_86
| ~ spl42_87 ),
inference(avatar_contradiction_clause,[],[f3644]) ).
fof(f3650,plain,
( e11 = e13
| ~ spl42_81
| ~ spl42_83 ),
inference(superposition,[],[f1128,f1120]) ).
fof(f3654,plain,
( $false
| ~ spl42_81
| ~ spl42_83 ),
inference(forward_subsumption_resolution,[],[f3650,f173]) ).
fof(f3655,plain,
( ~ spl42_81
| ~ spl42_83 ),
inference(avatar_contradiction_clause,[],[f3654]) ).
fof(f3657,plain,
( e12 = e13
| ~ spl42_85
| ~ spl42_86 ),
inference(forward_demodulation,[],[f1137,f1141]) ).
fof(f3664,plain,
( $false
| ~ spl42_85
| ~ spl42_86 ),
inference(forward_subsumption_resolution,[],[f3657,f172]) ).
fof(f3665,plain,
( ~ spl42_85
| ~ spl42_86 ),
inference(avatar_contradiction_clause,[],[f3664]) ).
fof(f3713,plain,
( e10 = e11
| ~ spl42_107
| ~ spl42_108 ),
inference(superposition,[],[f1234,f1230]) ).
fof(f3714,plain,
( e10 = e11
| ~ spl42_107
| ~ spl42_108 ),
inference(superposition,[],[f1230,f1234]) ).
fof(f3715,plain,
( $false
| ~ spl42_107
| ~ spl42_108 ),
inference(forward_subsumption_resolution,[],[f3714,f177]) ).
fof(f3716,plain,
( ~ spl42_107
| ~ spl42_108 ),
inference(avatar_contradiction_clause,[],[f3715]) ).
fof(f3717,plain,
( $false
| ~ spl42_107
| ~ spl42_108 ),
inference(forward_subsumption_resolution,[],[f3713,f177]) ).
fof(f3718,plain,
( ~ spl42_107
| ~ spl42_108 ),
inference(avatar_contradiction_clause,[],[f3717]) ).
fof(f3731,plain,
( e10 = op1(e10,e13)
| ~ spl42_109
| ~ spl42_143 ),
inference(forward_demodulation,[],[f1417,f1239]) ).
fof(f3754,plain,
( spl42_112
| ~ spl42_109
| ~ spl42_143 ),
inference(avatar_split_clause,[],[f3731,f1415,f1237,f1249]) ).
fof(f3760,plain,
( e11 = op1(e11,e12)
| ~ spl42_94
| ~ spl42_142 ),
inference(forward_demodulation,[],[f1413,f1175]) ).
fof(f3770,plain,
( e12 = e13
| ~ spl42_65
| ~ spl42_66 ),
inference(superposition,[],[f1056,f1052]) ).
fof(f3776,plain,
( $false
| ~ spl42_65
| ~ spl42_66 ),
inference(forward_subsumption_resolution,[],[f3770,f172]) ).
fof(f3777,plain,
( ~ spl42_65
| ~ spl42_66 ),
inference(avatar_contradiction_clause,[],[f3776]) ).
fof(f3788,plain,
( e11 = e12
| ~ spl42_114
| ~ spl42_115 ),
inference(superposition,[],[f1264,f1260]) ).
fof(f3792,plain,
( $false
| ~ spl42_114
| ~ spl42_115 ),
inference(forward_subsumption_resolution,[],[f3788,f174]) ).
fof(f3793,plain,
( ~ spl42_114
| ~ spl42_115 ),
inference(avatar_contradiction_clause,[],[f3792]) ).
fof(f3807,plain,
( e11 = op1(e11,e11)
| ~ spl42_99
| ~ spl42_146 ),
inference(forward_demodulation,[],[f1430,f1196]) ).
fof(f3809,plain,
( $false
| ~ spl42_99
| spl42_103
| ~ spl42_146 ),
inference(forward_subsumption_resolution,[],[f3807,f1212]) ).
fof(f3810,plain,
( ~ spl42_99
| spl42_103
| ~ spl42_146 ),
inference(avatar_contradiction_clause,[],[f3809]) ).
fof(f3813,plain,
( e10 = e12
| ~ spl42_114
| ~ spl42_116 ),
inference(forward_demodulation,[],[f1260,f1268]) ).
fof(f3819,plain,
( $false
| ~ spl42_114
| ~ spl42_116 ),
inference(forward_subsumption_resolution,[],[f3813,f176]) ).
fof(f3820,plain,
( ~ spl42_114
| ~ spl42_116 ),
inference(avatar_contradiction_clause,[],[f3819]) ).
fof(f3827,plain,
( e10 = e11
| ~ spl42_119
| ~ spl42_120 ),
inference(superposition,[],[f1285,f1281]) ).
fof(f3831,plain,
( $false
| ~ spl42_119
| ~ spl42_120 ),
inference(forward_subsumption_resolution,[],[f3827,f177]) ).
fof(f3832,plain,
( ~ spl42_119
| ~ spl42_120 ),
inference(avatar_contradiction_clause,[],[f3831]) ).
fof(f3835,plain,
( e10 = op1(e10,e12)
| ~ spl42_122
| ~ spl42_155 ),
inference(forward_demodulation,[],[f1468,f1294]) ).
fof(f3838,plain,
( e10 = op1(e10,e10)
| ~ spl42_120
| ~ spl42_151 ),
inference(forward_demodulation,[],[f1451,f1285]) ).
fof(f3841,plain,
( $false
| spl42_116
| ~ spl42_122
| ~ spl42_155 ),
inference(forward_subsumption_resolution,[],[f3835,f1267]) ).
fof(f3842,plain,
( spl42_116
| ~ spl42_122
| ~ spl42_155 ),
inference(avatar_contradiction_clause,[],[f3841]) ).
fof(f3843,plain,
( $false
| ~ spl42_120
| spl42_124
| ~ spl42_151 ),
inference(forward_subsumption_resolution,[],[f3838,f1301]) ).
fof(f3844,plain,
( ~ spl42_120
| spl42_124
| ~ spl42_151 ),
inference(avatar_contradiction_clause,[],[f3843]) ).
fof(f3847,plain,
( e10 = e13
| ~ spl42_117
| ~ spl42_120 ),
inference(forward_demodulation,[],[f1273,f1285]) ).
fof(f3853,plain,
( spl42_99
| ~ spl42_94
| ~ spl42_142 ),
inference(avatar_split_clause,[],[f3760,f1411,f1173,f1194]) ).
fof(f3855,plain,
( $false
| ~ spl42_117
| ~ spl42_120 ),
inference(forward_subsumption_resolution,[],[f3847,f175]) ).
fof(f3856,plain,
( ~ spl42_117
| ~ spl42_120 ),
inference(avatar_contradiction_clause,[],[f3855]) ).
fof(f3923,plain,
( e12 = e13
| ~ spl42_97
| ~ spl42_98 ),
inference(superposition,[],[f1192,f1188]) ).
fof(f3927,plain,
( $false
| ~ spl42_97
| ~ spl42_98 ),
inference(forward_subsumption_resolution,[],[f3923,f172]) ).
fof(f3928,plain,
( ~ spl42_97
| ~ spl42_98 ),
inference(avatar_contradiction_clause,[],[f3927]) ).
fof(f3930,plain,
( e10 = e12
| ~ spl42_106
| ~ spl42_108 ),
inference(forward_demodulation,[],[f1226,f1234]) ).
fof(f3931,plain,
( $false
| ~ spl42_106
| ~ spl42_108 ),
inference(forward_subsumption_resolution,[],[f3930,f176]) ).
fof(f3932,plain,
( ~ spl42_106
| ~ spl42_108 ),
inference(avatar_contradiction_clause,[],[f3931]) ).
fof(f3943,plain,
( e12 = e13
| ~ spl42_113
| ~ spl42_114 ),
inference(superposition,[],[f1260,f1256]) ).
fof(f3948,plain,
( $false
| ~ spl42_113
| ~ spl42_114 ),
inference(forward_subsumption_resolution,[],[f3943,f172]) ).
fof(f3949,plain,
( ~ spl42_113
| ~ spl42_114 ),
inference(avatar_contradiction_clause,[],[f3948]) ).
fof(f3950,plain,
( e11 = e13
| ~ spl42_61
| ~ spl42_63 ),
inference(forward_demodulation,[],[f1035,f1043]) ).
fof(f3970,plain,
( e10 = op1(e10,e12)
| ~ spl42_114
| ~ spl42_147 ),
inference(forward_demodulation,[],[f1434,f1260]) ).
fof(f3989,plain,
( $false
| ~ spl42_61
| ~ spl42_63 ),
inference(forward_subsumption_resolution,[],[f3950,f173]) ).
fof(f3990,plain,
( ~ spl42_61
| ~ spl42_63 ),
inference(avatar_contradiction_clause,[],[f3989]) ).
fof(f3991,plain,
( $false
| ~ spl42_114
| spl42_116
| ~ spl42_147 ),
inference(forward_subsumption_resolution,[],[f3970,f1267]) ).
fof(f3992,plain,
( ~ spl42_114
| spl42_116
| ~ spl42_147 ),
inference(avatar_contradiction_clause,[],[f3991]) ).
fof(f4021,plain,
( e12 = op1(e12,e11)
| ~ spl42_83
| ~ spl42_145 ),
inference(forward_demodulation,[],[f1426,f1128]) ).
fof(f4028,plain,
( spl42_86
| ~ spl42_83
| ~ spl42_145 ),
inference(avatar_split_clause,[],[f4021,f1424,f1126,f1139]) ).
fof(f4046,plain,
e21 = h4(e11),
inference(superposition,[],[f378,f611]) ).
fof(f4058,plain,
( e21 != h2(e11)
| ~ spl42_35 ),
inference(superposition,[],[f866,f768]) ).
fof(f4060,plain,
( e20 != h1(e11)
| ~ spl42_40 ),
inference(superposition,[],[f867,f789]) ).
fof(f4062,plain,
( e22 != h1(e11)
| ~ spl42_42 ),
inference(superposition,[],[f868,f798]) ).
fof(f4064,plain,
( e21 != h1(e11)
| ~ spl42_47 ),
inference(superposition,[],[f869,f819]) ).
fof(f4069,plain,
( e23 != h3(e11)
| ~ spl42_1 ),
inference(superposition,[],[f873,f622]) ).
fof(f4072,plain,
( e22 != h3(e11)
| ~ spl42_42 ),
inference(superposition,[],[f875,f798]) ).
fof(f4077,plain,
( e21 != h2(e11)
| ~ spl42_47 ),
inference(superposition,[],[f878,f819]) ).
fof(f4083,plain,
( e21 != h1(e11)
| ~ spl42_35 ),
inference(superposition,[],[f881,f768]) ).
fof(f4085,plain,
( e22 = op2(e23,e21)
| ~ spl42_166 ),
inference(superposition,[],[f1030,f1630]) ).
fof(f4086,plain,
( $false
| spl42_6
| ~ spl42_166 ),
inference(forward_subsumption_resolution,[],[f4085,f642]) ).
fof(f4087,plain,
( spl42_6
| ~ spl42_166 ),
inference(avatar_contradiction_clause,[],[f4086]) ).
fof(f4092,plain,
spl42_166,
inference(avatar_split_clause,[],[f4046,f1629]) ).
fof(f4099,plain,
( e23 = op2(e23,e20)
| ~ spl42_12
| ~ spl42_220 ),
inference(forward_demodulation,[],[f1929,f668]) ).
fof(f4110,plain,
( $false
| spl42_9
| ~ spl42_12
| ~ spl42_220 ),
inference(forward_subsumption_resolution,[],[f4099,f655]) ).
fof(f4111,plain,
( spl42_9
| ~ spl42_12
| ~ spl42_220 ),
inference(avatar_contradiction_clause,[],[f4110]) ).
fof(f4116,plain,
( e21 = op2(e21,e21)
| ~ spl42_35
| ~ spl42_222 ),
inference(forward_demodulation,[],[f1937,f768]) ).
fof(f4121,plain,
( e22 != h2(e11)
| ~ spl42_6 ),
inference(superposition,[],[f876,f643]) ).
fof(f4128,plain,
( e21 != h4(e11)
| ~ spl42_7 ),
inference(superposition,[],[f859,f647]) ).
fof(f4130,plain,
( $false
| ~ spl42_7
| ~ spl42_166 ),
inference(forward_subsumption_resolution,[],[f4128,f1630]) ).
fof(f4131,plain,
( ~ spl42_7
| ~ spl42_166 ),
inference(avatar_contradiction_clause,[],[f4130]) ).
fof(f4147,plain,
( e23 != h2(e11)
| ~ spl42_17 ),
inference(superposition,[],[f877,f691]) ).
fof(f4148,plain,
( e23 != h3(e11)
| ~ spl42_17 ),
inference(superposition,[],[f862,f691]) ).
fof(f4154,plain,
( e20 != h2(e11)
| ~ spl42_20 ),
inference(superposition,[],[f877,f703]) ).
fof(f4158,plain,
( e22 != h1(e11)
| ~ spl42_22 ),
inference(superposition,[],[f880,f712]) ).
fof(f4159,plain,
( e22 != h3(e11)
| ~ spl42_22 ),
inference(superposition,[],[f863,f712]) ).
fof(f4164,plain,
( e21 = h2(e11)
| ~ spl42_35
| ~ spl42_222 ),
inference(superposition,[],[f603,f4116]) ).
fof(f4165,plain,
( spl42_190
| ~ spl42_35
| ~ spl42_222 ),
inference(avatar_split_clause,[],[f4164,f1935,f766,f1749]) ).
fof(f4166,plain,
( e22 = op2(e22,e22)
| ~ spl42_22
| ~ spl42_221 ),
inference(forward_demodulation,[],[f1933,f712]) ).
fof(f4170,plain,
( e22 = h3(e11)
| ~ spl42_22
| ~ spl42_221 ),
inference(superposition,[],[f4166,f607]) ).
fof(f4171,plain,
( e22 = h3(e11)
| ~ spl42_22
| ~ spl42_221 ),
inference(superposition,[],[f607,f4166]) ).
fof(f4174,plain,
( $false
| ~ spl42_22
| spl42_174
| ~ spl42_221 ),
inference(forward_subsumption_resolution,[],[f4170,f1671]) ).
fof(f4175,plain,
( ~ spl42_22
| spl42_174
| ~ spl42_221 ),
inference(avatar_contradiction_clause,[],[f4174]) ).
fof(f4206,plain,
( e20 = op2(e23,e23)
| ~ spl42_157 ),
inference(superposition,[],[f1031,f1585]) ).
fof(f4208,plain,
( e20 = e21
| ~ spl42_157 ),
inference(superposition,[],[f4206,f378]) ).
fof(f4215,plain,
( $false
| ~ spl42_157 ),
inference(forward_subsumption_resolution,[],[f4208,f501]) ).
fof(f4216,plain,
~ spl42_157,
inference(avatar_contradiction_clause,[],[f4215]) ).
fof(f4219,plain,
( e21 = op2(e21,e22)
| ~ spl42_26
| ~ spl42_212 ),
inference(forward_demodulation,[],[f1894,f729]) ).
fof(f4220,plain,
( e20 = e21
| ~ spl42_26
| ~ spl42_32
| ~ spl42_212 ),
inference(forward_demodulation,[],[f4219,f754]) ).
fof(f4221,plain,
( $false
| ~ spl42_26
| ~ spl42_32
| ~ spl42_212 ),
inference(forward_subsumption_resolution,[],[f4220,f501]) ).
fof(f4222,plain,
( ~ spl42_26
| ~ spl42_32
| ~ spl42_212 ),
inference(avatar_contradiction_clause,[],[f4221]) ).
fof(f4223,plain,
( e22 = op2(e22,e23)
| ~ spl42_13
| ~ spl42_211 ),
inference(forward_demodulation,[],[f1890,f673]) ).
fof(f4225,plain,
( $false
| ~ spl42_13
| spl42_14
| ~ spl42_211 ),
inference(forward_subsumption_resolution,[],[f4223,f676]) ).
fof(f4226,plain,
( ~ spl42_13
| spl42_14
| ~ spl42_211 ),
inference(avatar_contradiction_clause,[],[f4225]) ).
fof(f4229,plain,
( e20 = op2(e20,e20)
| ~ spl42_40
| ~ spl42_213 ),
inference(forward_demodulation,[],[f1898,f789]) ).
fof(f4231,plain,
( e20 = h1(e11)
| ~ spl42_40
| ~ spl42_213 ),
inference(superposition,[],[f599,f4229]) ).
fof(f4232,plain,
( spl42_207
| ~ spl42_40
| ~ spl42_213 ),
inference(avatar_split_clause,[],[f4231,f1896,f787,f1864]) ).
fof(f4233,plain,
( e20 = e23
| ~ spl42_194
| ~ spl42_207 ),
inference(superposition,[],[f1866,f1770]) ).
fof(f4237,plain,
( $false
| ~ spl42_194
| ~ spl42_207 ),
inference(forward_subsumption_resolution,[],[f4233,f499]) ).
fof(f4238,plain,
( ~ spl42_194
| ~ spl42_207 ),
inference(avatar_contradiction_clause,[],[f4237]) ).
fof(f4242,plain,
( e21 = op2(e21,e20)
| ~ spl42_28
| ~ spl42_212 ),
inference(forward_demodulation,[],[f1894,f737]) ).
fof(f4246,plain,
( e21 = op2(e21,e22)
| ~ spl42_30
| ~ spl42_215 ),
inference(forward_demodulation,[],[f1907,f746]) ).
fof(f4248,plain,
( spl42_31
| ~ spl42_30
| ~ spl42_215 ),
inference(avatar_split_clause,[],[f4246,f1905,f744,f748]) ).
fof(f4250,plain,
( e20 = op2(e20,e20)
| ~ spl42_44
| ~ spl42_216 ),
inference(forward_demodulation,[],[f1911,f806]) ).
fof(f4267,plain,
( e20 != h2(e11)
| ~ spl42_28 ),
inference(superposition,[],[f864,f737]) ).
fof(f4286,plain,
( e20 = h1(e11)
| ~ spl42_44
| ~ spl42_216 ),
inference(superposition,[],[f599,f4250]) ).
fof(f4287,plain,
( spl42_207
| ~ spl42_44
| ~ spl42_216 ),
inference(avatar_split_clause,[],[f4286,f1909,f804,f1864]) ).
fof(f4290,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| ~ spl42_178
| spl42_229 ),
inference(forward_demodulation,[],[f2178,f1690]) ).
fof(f4293,plain,
( op2(e21,e21) != h3(e11)
| ~ spl42_103
| ~ spl42_178
| spl42_229 ),
inference(forward_demodulation,[],[f4290,f1213]) ).
fof(f4295,plain,
( e21 != op2(e21,e21)
| ~ spl42_103
| ~ spl42_178
| spl42_229 ),
inference(forward_demodulation,[],[f4293,f1690]) ).
fof(f4296,plain,
( e21 != h2(e11)
| ~ spl42_103
| ~ spl42_178
| spl42_229 ),
inference(forward_demodulation,[],[f4295,f603]) ).
fof(f4298,plain,
( e12 = op1(e13,e11)
| ~ spl42_63 ),
inference(superposition,[],[f178,f1043]) ).
fof(f4299,plain,
( e11 != op1(e13,e12)
| ~ spl42_63 ),
inference(superposition,[],[f281,f1043]) ).
fof(f4304,plain,
( e11 != op1(e13,e10)
| ~ spl42_63 ),
inference(superposition,[],[f284,f1043]) ).
fof(f4309,plain,
( e10 != op1(e12,e11)
| ~ spl42_80 ),
inference(superposition,[],[f288,f1115]) ).
fof(f4313,plain,
( e11 != op1(e12,e10)
| ~ spl42_83 ),
inference(superposition,[],[f291,f1128]) ).
fof(f4326,plain,
( e11 != op1(e11,e10)
| ~ spl42_103 ),
inference(superposition,[],[f298,f1213]) ).
fof(f4330,plain,
( e13 != op1(e10,e11)
| ~ spl42_109 ),
inference(superposition,[],[f300,f1239]) ).
fof(f4336,plain,
( e10 != op1(e10,e10)
| ~ spl42_120 ),
inference(superposition,[],[f304,f1285]) ).
fof(f4351,plain,
( e11 != op1(e11,e12)
| ~ spl42_83 ),
inference(superposition,[],[f313,f1128]) ).
fof(f4353,plain,
( e10 != op1(e10,e12)
| ~ spl42_68 ),
inference(superposition,[],[f314,f1064]) ).
fof(f4361,plain,
( e13 != op1(e11,e11)
| ~ spl42_85 ),
inference(superposition,[],[f319,f1137]) ).
fof(f4363,plain,
( e12 != op1(e10,e11)
| ~ spl42_70 ),
inference(superposition,[],[f320,f1073]) ).
fof(f4369,plain,
( e13 != op1(e12,e10)
| ~ spl42_73 ),
inference(superposition,[],[f323,f1086]) ).
fof(f4371,plain,
( e13 != op1(e11,e10)
| ~ spl42_73 ),
inference(superposition,[],[f324,f1086]) ).
fof(f4376,plain,
( op1(e10,e10) != e12
| ~ spl42_90 ),
inference(superposition,[],[f327,f1158]) ).
fof(f4379,plain,
( e23 != op2(e23,e20)
| ~ spl42_1 ),
inference(superposition,[],[f506,f622]) ).
fof(f4381,plain,
( e23 != op2(e22,e21)
| ~ spl42_13 ),
inference(superposition,[],[f509,f673]) ).
fof(f4388,plain,
( e20 != op2(e21,e20)
| ~ spl42_28 ),
inference(superposition,[],[f517,f737]) ).
fof(f4390,plain,
( e22 != op2(e21,e20)
| ~ spl42_30 ),
inference(superposition,[],[f518,f746]) ).
fof(f4392,plain,
( e22 != op2(e20,e22)
| ~ spl42_38 ),
inference(superposition,[],[f520,f781]) ).
fof(f4401,plain,
( e23 != op2(e21,e22)
| ~ spl42_1 ),
inference(superposition,[],[f533,f622]) ).
fof(f4402,plain,
( e23 != op2(e20,e22)
| ~ spl42_1 ),
inference(superposition,[],[f535,f622]) ).
fof(f4403,plain,
( e22 != op2(e20,e22)
| ~ spl42_30 ),
inference(superposition,[],[f537,f746]) ).
fof(f4404,plain,
( e22 != op2(e22,e21)
| ~ spl42_6 ),
inference(superposition,[],[f538,f643]) ).
fof(f4408,plain,
( e20 != op2(e20,e21)
| ~ spl42_20 ),
inference(superposition,[],[f542,f703]) ).
fof(f4410,plain,
( e20 != op2(e22,e20)
| ~ spl42_12 ),
inference(superposition,[],[f544,f668]) ).
fof(f4412,plain,
( e20 != op2(e21,e20)
| ~ spl42_12 ),
inference(superposition,[],[f545,f668]) ).
fof(f4414,plain,
( e22 != op2(e21,e20)
| ~ spl42_22 ),
inference(superposition,[],[f546,f712]) ).
fof(f4445,plain,
h1(e12) = op2(e20,h1(e11)),
inference(superposition,[],[f598,f599]) ).
fof(f4446,plain,
( op2(e20,e23) = h1(e12)
| ~ spl42_194 ),
inference(forward_demodulation,[],[f4445,f1770]) ).
fof(f4448,plain,
( e20 = op2(e20,e23)
| ~ spl42_194
| ~ spl42_223 ),
inference(forward_demodulation,[],[f4446,f1941]) ).
fof(f4450,plain,
( spl42_40
| ~ spl42_194
| ~ spl42_223 ),
inference(avatar_split_clause,[],[f4448,f1939,f1769,f787]) ).
fof(f4452,plain,
( e20 = e21
| ~ spl42_11
| ~ spl42_12 ),
inference(forward_demodulation,[],[f664,f668]) ).
fof(f4454,plain,
( e21 = op2(e21,e20)
| ~ spl42_36
| ~ spl42_222 ),
inference(forward_demodulation,[],[f1937,f772]) ).
fof(f4458,plain,
( h1(e11) = op2(h1(e12),h1(e12))
| ~ spl42_83
| ~ spl42_260 ),
inference(forward_demodulation,[],[f2309,f1128]) ).
fof(f4465,plain,
( $false
| ~ spl42_28
| spl42_35
| ~ spl42_212 ),
inference(forward_subsumption_resolution,[],[f4242,f767]) ).
fof(f4466,plain,
( ~ spl42_28
| spl42_35
| ~ spl42_212 ),
inference(avatar_contradiction_clause,[],[f4465]) ).
fof(f4473,plain,
( $false
| ~ spl42_11
| ~ spl42_12 ),
inference(forward_subsumption_resolution,[],[f4452,f501]) ).
fof(f4474,plain,
( ~ spl42_11
| ~ spl42_12 ),
inference(avatar_contradiction_clause,[],[f4473]) ).
fof(f4477,plain,
( $false
| spl42_35
| ~ spl42_36
| ~ spl42_222 ),
inference(forward_subsumption_resolution,[],[f4454,f767]) ).
fof(f4478,plain,
( spl42_35
| ~ spl42_36
| ~ spl42_222 ),
inference(avatar_contradiction_clause,[],[f4477]) ).
fof(f4497,plain,
( e21 = e22
| ~ spl42_174
| ~ spl42_178 ),
inference(forward_demodulation,[],[f1670,f1690]) ).
fof(f4500,plain,
( e21 = e22
| ~ spl42_22
| ~ spl42_178
| ~ spl42_221 ),
inference(forward_demodulation,[],[f4171,f1690]) ).
fof(f4522,plain,
( $false
| ~ spl42_174
| ~ spl42_178 ),
inference(forward_subsumption_resolution,[],[f4497,f498]) ).
fof(f4523,plain,
( ~ spl42_174
| ~ spl42_178 ),
inference(avatar_contradiction_clause,[],[f4522]) ).
fof(f4526,plain,
( $false
| ~ spl42_22
| ~ spl42_178
| ~ spl42_221 ),
inference(forward_subsumption_resolution,[],[f4500,f498]) ).
fof(f4527,plain,
( ~ spl42_22
| ~ spl42_178
| ~ spl42_221 ),
inference(avatar_contradiction_clause,[],[f4526]) ).
fof(f4543,plain,
( e21 = op2(e21,e23)
| ~ spl42_33
| ~ spl42_222 ),
inference(forward_demodulation,[],[f1937,f760]) ).
fof(f4552,plain,
( op2(e20,e21) = h1(e12)
| ~ spl42_202 ),
inference(forward_demodulation,[],[f4445,f1810]) ).
fof(f4561,plain,
( $false
| ~ spl42_103
| ~ spl42_178
| ~ spl42_190
| spl42_229 ),
inference(forward_subsumption_resolution,[],[f4296,f1750]) ).
fof(f4562,plain,
( ~ spl42_103
| ~ spl42_178
| ~ spl42_190
| spl42_229 ),
inference(avatar_contradiction_clause,[],[f4561]) ).
fof(f4602,plain,
( e20 = op2(e20,e21)
| ~ spl42_202
| ~ spl42_223 ),
inference(forward_demodulation,[],[f4552,f1941]) ).
fof(f4610,plain,
( spl42_48
| ~ spl42_202
| ~ spl42_223 ),
inference(avatar_split_clause,[],[f4602,f1939,f1809,f821]) ).
fof(f4648,plain,
( e20 = e23
| ~ spl42_45
| ~ spl42_48 ),
inference(superposition,[],[f823,f811]) ).
fof(f4649,plain,
( e20 = e23
| ~ spl42_45
| ~ spl42_48 ),
inference(superposition,[],[f811,f823]) ).
fof(f4650,plain,
( e20 != h2(e11)
| ~ spl42_48 ),
inference(superposition,[],[f878,f823]) ).
fof(f4651,plain,
( e20 != h1(e11)
| ~ spl42_48 ),
inference(superposition,[],[f869,f823]) ).
fof(f4654,plain,
( $false
| ~ spl42_45
| ~ spl42_48 ),
inference(forward_subsumption_resolution,[],[f4649,f499]) ).
fof(f4655,plain,
( ~ spl42_45
| ~ spl42_48 ),
inference(avatar_contradiction_clause,[],[f4654]) ).
fof(f4656,plain,
( $false
| ~ spl42_45
| ~ spl42_48 ),
inference(forward_subsumption_resolution,[],[f4648,f499]) ).
fof(f4657,plain,
( ~ spl42_45
| ~ spl42_48 ),
inference(avatar_contradiction_clause,[],[f4656]) ).
fof(f4661,plain,
( ~ spl42_174
| ~ spl42_42 ),
inference(avatar_split_clause,[],[f4072,f796,f1669]) ).
fof(f4665,plain,
( e22 = op2(e22,e21)
| ~ spl42_23
| ~ spl42_221 ),
inference(forward_demodulation,[],[f1933,f716]) ).
fof(f4689,plain,
( $false
| ~ spl42_13
| ~ spl42_17 ),
inference(forward_subsumption_resolution,[],[f4381,f691]) ).
fof(f4690,plain,
( ~ spl42_13
| ~ spl42_17 ),
inference(avatar_contradiction_clause,[],[f4689]) ).
fof(f4691,plain,
( $false
| ~ spl42_6
| ~ spl42_18 ),
inference(forward_subsumption_resolution,[],[f4404,f695]) ).
fof(f4692,plain,
( ~ spl42_6
| ~ spl42_18 ),
inference(avatar_contradiction_clause,[],[f4691]) ).
fof(f4707,plain,
( ~ spl42_207
| ~ spl42_40 ),
inference(avatar_split_clause,[],[f4060,f787,f1864]) ).
fof(f4709,plain,
( e20 = e22
| ~ spl42_174
| ~ spl42_205 ),
inference(forward_demodulation,[],[f1670,f1842]) ).
fof(f4720,plain,
( op2(e20,e22) = h1(e12)
| ~ spl42_198 ),
inference(forward_demodulation,[],[f4445,f1790]) ).
fof(f4731,plain,
( $false
| spl42_18
| ~ spl42_23
| ~ spl42_221 ),
inference(forward_subsumption_resolution,[],[f4665,f694]) ).
fof(f4732,plain,
( spl42_18
| ~ spl42_23
| ~ spl42_221 ),
inference(avatar_contradiction_clause,[],[f4731]) ).
fof(f4734,plain,
( e22 = op2(e22,e21)
| ~ spl42_19
| ~ spl42_218 ),
inference(forward_demodulation,[],[f1920,f699]) ).
fof(f4735,plain,
( $false
| ~ spl42_174
| ~ spl42_205 ),
inference(forward_subsumption_resolution,[],[f4709,f500]) ).
fof(f4736,plain,
( ~ spl42_174
| ~ spl42_205 ),
inference(avatar_contradiction_clause,[],[f4735]) ).
fof(f4743,plain,
( e20 = op2(e20,e22)
| ~ spl42_198
| ~ spl42_223 ),
inference(forward_demodulation,[],[f4720,f1941]) ).
fof(f4746,plain,
( $false
| spl42_18
| ~ spl42_19
| ~ spl42_218 ),
inference(forward_subsumption_resolution,[],[f4734,f694]) ).
fof(f4747,plain,
( spl42_18
| ~ spl42_19
| ~ spl42_218 ),
inference(avatar_contradiction_clause,[],[f4746]) ).
fof(f4752,plain,
( spl42_44
| ~ spl42_198
| ~ spl42_223 ),
inference(avatar_split_clause,[],[f4743,f1939,f1789,f804]) ).
fof(f4760,plain,
( $false
| ~ spl42_22
| ~ spl42_198 ),
inference(forward_subsumption_resolution,[],[f4158,f1790]) ).
fof(f4761,plain,
( ~ spl42_22
| ~ spl42_198 ),
inference(avatar_contradiction_clause,[],[f4760]) ).
fof(f4780,plain,
( spl42_27
| ~ spl42_33
| ~ spl42_222 ),
inference(avatar_split_clause,[],[f4543,f1935,f758,f731]) ).
fof(f4792,plain,
( spl42_31
| ~ spl42_26
| ~ spl42_212 ),
inference(avatar_split_clause,[],[f4219,f1892,f727,f748]) ).
fof(f4821,plain,
( e21 = op2(h1(e12),h1(e12))
| ~ spl42_83
| ~ spl42_202
| ~ spl42_260 ),
inference(forward_demodulation,[],[f4458,f1810]) ).
fof(f4846,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e20)
| spl42_227
| ~ spl42_241 ),
inference(forward_demodulation,[],[f2170,f2227]) ).
fof(f4873,plain,
( e20 = e21
| ~ spl42_190
| ~ spl42_206 ),
inference(superposition,[],[f1854,f1750]) ).
fof(f4878,plain,
( $false
| ~ spl42_190
| ~ spl42_206 ),
inference(forward_subsumption_resolution,[],[f4873,f501]) ).
fof(f4879,plain,
( ~ spl42_190
| ~ spl42_206 ),
inference(avatar_contradiction_clause,[],[f4878]) ).
fof(f4886,plain,
( e21 != op2(e22,e20)
| ~ spl42_19 ),
inference(superposition,[],[f513,f699]) ).
fof(f4890,plain,
( e21 != h3(e11)
| ~ spl42_19 ),
inference(superposition,[],[f862,f699]) ).
fof(f4891,plain,
( e21 != h2(e11)
| ~ spl42_19 ),
inference(superposition,[],[f877,f699]) ).
fof(f4902,plain,
( e22 != op2(e21,e22)
| ~ spl42_26 ),
inference(superposition,[],[f514,f729]) ).
fof(f4904,plain,
( e22 != op2(e20,e23)
| ~ spl42_26 ),
inference(superposition,[],[f531,f729]) ).
fof(f4917,plain,
( e21 != h4(e11)
| ~ spl42_27 ),
inference(superposition,[],[f871,f733]) ).
fof(f4918,plain,
( $false
| ~ spl42_27
| ~ spl42_166 ),
inference(forward_subsumption_resolution,[],[f4917,f1630]) ).
fof(f4919,plain,
( ~ spl42_27
| ~ spl42_166 ),
inference(avatar_contradiction_clause,[],[f4918]) ).
fof(f4930,plain,
( e22 = e23
| ~ spl42_41
| ~ spl42_42 ),
inference(forward_demodulation,[],[f794,f798]) ).
fof(f4936,plain,
( e20 = e23
| ~ spl42_182
| ~ spl42_206 ),
inference(forward_demodulation,[],[f1710,f1854]) ).
fof(f4948,plain,
( e20 = op2(e20,e20)
| ~ spl42_48
| ~ spl42_219 ),
inference(forward_demodulation,[],[f1924,f823]) ).
fof(f4967,plain,
( $false
| ~ spl42_41
| ~ spl42_42 ),
inference(forward_subsumption_resolution,[],[f4930,f496]) ).
fof(f4968,plain,
( ~ spl42_41
| ~ spl42_42 ),
inference(avatar_contradiction_clause,[],[f4967]) ).
fof(f4969,plain,
( $false
| ~ spl42_182
| ~ spl42_206 ),
inference(forward_subsumption_resolution,[],[f4936,f499]) ).
fof(f4970,plain,
( ~ spl42_182
| ~ spl42_206 ),
inference(avatar_contradiction_clause,[],[f4969]) ).
fof(f4988,plain,
( ~ spl42_42
| ~ spl42_38 ),
inference(avatar_split_clause,[],[f4392,f779,f796]) ).
fof(f5001,plain,
( $false
| ~ spl42_26
| ~ spl42_38 ),
inference(forward_subsumption_resolution,[],[f4904,f781]) ).
fof(f5002,plain,
( ~ spl42_26
| ~ spl42_38 ),
inference(avatar_contradiction_clause,[],[f5001]) ).
fof(f5011,plain,
( ~ spl42_9
| ~ spl42_1 ),
inference(avatar_split_clause,[],[f4379,f620,f654]) ).
fof(f5012,plain,
( ~ spl42_41
| ~ spl42_1 ),
inference(avatar_split_clause,[],[f4402,f620,f792]) ).
fof(f5018,plain,
( ~ spl42_198
| ~ spl42_42 ),
inference(avatar_split_clause,[],[f4062,f796,f1789]) ).
fof(f5201,plain,
( e20 = op2(e20,e22)
| ~ spl42_42
| ~ spl42_216 ),
inference(forward_demodulation,[],[f1911,f798]) ).
fof(f5204,plain,
( $false
| ~ spl42_42
| spl42_44
| ~ spl42_216 ),
inference(forward_subsumption_resolution,[],[f5201,f805]) ).
fof(f5205,plain,
( ~ spl42_42
| spl42_44
| ~ spl42_216 ),
inference(avatar_contradiction_clause,[],[f5204]) ).
fof(f5252,plain,
( e23 = op2(e23,e22)
| ~ spl42_6
| ~ spl42_217 ),
inference(forward_demodulation,[],[f1916,f643]) ).
fof(f5273,plain,
( e20 = e21
| ~ spl42_166
| ~ spl42_204 ),
inference(superposition,[],[f1830,f1630]) ).
fof(f5282,plain,
( $false
| ~ spl42_166
| ~ spl42_204 ),
inference(forward_subsumption_resolution,[],[f5273,f501]) ).
fof(f5283,plain,
( ~ spl42_166
| ~ spl42_204 ),
inference(avatar_contradiction_clause,[],[f5282]) ).
fof(f5288,plain,
( e20 = e21
| ~ spl42_202
| ~ spl42_207 ),
inference(forward_demodulation,[],[f1810,f1866]) ).
fof(f5296,plain,
( e23 = op2(e23,e23)
| ~ spl42_9
| ~ spl42_220 ),
inference(forward_demodulation,[],[f1929,f656]) ).
fof(f5316,plain,
( $false
| spl42_1
| ~ spl42_6
| ~ spl42_217 ),
inference(forward_subsumption_resolution,[],[f5252,f621]) ).
fof(f5317,plain,
( spl42_1
| ~ spl42_6
| ~ spl42_217 ),
inference(avatar_contradiction_clause,[],[f5316]) ).
fof(f5320,plain,
( $false
| ~ spl42_202
| ~ spl42_207 ),
inference(forward_subsumption_resolution,[],[f5288,f501]) ).
fof(f5321,plain,
( ~ spl42_202
| ~ spl42_207 ),
inference(avatar_contradiction_clause,[],[f5320]) ).
fof(f5326,plain,
( e21 = e23
| ~ spl42_9
| ~ spl42_220 ),
inference(forward_demodulation,[],[f5296,f378]) ).
fof(f5340,plain,
( $false
| ~ spl42_9
| ~ spl42_220 ),
inference(forward_subsumption_resolution,[],[f5326,f497]) ).
fof(f5341,plain,
( ~ spl42_9
| ~ spl42_220 ),
inference(avatar_contradiction_clause,[],[f5340]) ).
fof(f5353,plain,
( ~ spl42_206
| ~ spl42_48 ),
inference(avatar_split_clause,[],[f4650,f821,f1852]) ).
fof(f5354,plain,
( ~ spl42_207
| ~ spl42_48 ),
inference(avatar_split_clause,[],[f4651,f821,f1864]) ).
fof(f5356,plain,
( e22 = op2(e22,e20)
| ~ spl42_16
| ~ spl42_211 ),
inference(forward_demodulation,[],[f1890,f685]) ).
fof(f5377,plain,
( ~ spl42_174
| ~ spl42_22 ),
inference(avatar_split_clause,[],[f4159,f710,f1669]) ).
fof(f5383,plain,
( op2(e20,e20) = e21
| ~ spl42_83
| ~ spl42_202
| ~ spl42_223
| ~ spl42_260 ),
inference(forward_demodulation,[],[f4821,f1941]) ).
fof(f5446,plain,
( op2(e20,e20) != h1(op1(e12,e12))
| ~ spl42_223
| spl42_260 ),
inference(forward_demodulation,[],[f2310,f1941]) ).
fof(f5453,plain,
( op2(e20,e20) != h1(e11)
| ~ spl42_83
| ~ spl42_223
| spl42_260 ),
inference(forward_demodulation,[],[f5446,f1128]) ).
fof(f5461,plain,
( $false
| ~ spl42_83
| ~ spl42_223
| spl42_260 ),
inference(forward_subsumption_resolution,[],[f5453,f599]) ).
fof(f5462,plain,
( ~ spl42_83
| ~ spl42_223
| spl42_260 ),
inference(avatar_contradiction_clause,[],[f5461]) ).
fof(f5542,plain,
( op2(e20,e20) = h1(e10)
| ~ spl42_223 ),
inference(superposition,[],[f617,f1941]) ).
fof(f5546,plain,
( e21 = h1(e10)
| ~ spl42_83
| ~ spl42_202
| ~ spl42_223
| ~ spl42_260 ),
inference(forward_demodulation,[],[f5542,f5383]) ).
fof(f5597,plain,
( e20 != op2(e21,e22)
| ~ spl42_4 ),
inference(superposition,[],[f533,f634]) ).
fof(f5598,plain,
( e20 != op2(e20,e22)
| ~ spl42_4 ),
inference(superposition,[],[f535,f634]) ).
fof(f5601,plain,
( e20 != h3(e11)
| ~ spl42_4 ),
inference(superposition,[],[f873,f634]) ).
fof(f5606,plain,
( e23 != op2(e22,e20)
| ~ spl42_9 ),
inference(superposition,[],[f544,f656]) ).
fof(f5612,plain,
( e20 != op2(e22,e21)
| ~ spl42_16 ),
inference(superposition,[],[f509,f685]) ).
fof(f5614,plain,
( e20 != op2(e21,e23)
| ~ spl42_16 ),
inference(superposition,[],[f528,f685]) ).
fof(f5615,plain,
( e20 != op2(e20,e23)
| ~ spl42_16 ),
inference(superposition,[],[f530,f685]) ).
fof(f5618,plain,
( e20 != h3(e11)
| ~ spl42_16 ),
inference(superposition,[],[f861,f685]) ).
fof(f5629,plain,
( e21 != h2(e11)
| ~ spl42_31 ),
inference(superposition,[],[f865,f750]) ).
fof(f5630,plain,
( e21 != h3(e11)
| ~ spl42_31 ),
inference(superposition,[],[f874,f750]) ).
fof(f5637,plain,
( e23 != op2(e20,e21)
| ~ spl42_37 ),
inference(superposition,[],[f521,f777]) ).
fof(f5655,plain,
h2(e12) = op2(e21,h2(e11)),
inference(superposition,[],[f602,f603]) ).
fof(f5656,plain,
( op2(e21,e23) = h2(e12)
| ~ spl42_182 ),
inference(forward_demodulation,[],[f5655,f1710]) ).
fof(f5658,plain,
( e21 = op2(e21,e23)
| ~ spl42_182
| ~ spl42_189 ),
inference(forward_demodulation,[],[f5656,f1745]) ).
fof(f5660,plain,
( spl42_27
| ~ spl42_182
| ~ spl42_189 ),
inference(avatar_split_clause,[],[f5658,f1744,f1709,f731]) ).
fof(f5666,plain,
( e11 = e13
| ~ spl42_101
| ~ spl42_103 ),
inference(forward_demodulation,[],[f1205,f1213]) ).
fof(f5699,plain,
( $false
| ~ spl42_63
| spl42_70 ),
inference(forward_subsumption_resolution,[],[f4298,f1072]) ).
fof(f5700,plain,
( ~ spl42_63
| spl42_70 ),
inference(avatar_contradiction_clause,[],[f5699]) ).
fof(f5704,plain,
( $false
| ~ spl42_63
| ~ spl42_67 ),
inference(forward_subsumption_resolution,[],[f4299,f1060]) ).
fof(f5705,plain,
( ~ spl42_63
| ~ spl42_67 ),
inference(avatar_contradiction_clause,[],[f5704]) ).
fof(f5706,plain,
( $false
| ~ spl42_101
| ~ spl42_103 ),
inference(forward_subsumption_resolution,[],[f5666,f173]) ).
fof(f5707,plain,
( ~ spl42_101
| ~ spl42_103 ),
inference(avatar_contradiction_clause,[],[f5706]) ).
fof(f5756,plain,
( ~ spl42_118
| ~ spl42_70 ),
inference(avatar_split_clause,[],[f4363,f1071,f1275]) ).
fof(f5768,plain,
( e13 != op1(e13,e12)
| ~ spl42_70
| spl42_148 ),
inference(forward_demodulation,[],[f1438,f1073]) ).
fof(f5772,plain,
( e10 != op1(e10,e10)
| ~ spl42_124
| spl42_155 ),
inference(forward_demodulation,[],[f1467,f1302]) ).
fof(f5781,plain,
( e20 = h1(e10)
| ~ spl42_48
| ~ spl42_219
| ~ spl42_223 ),
inference(forward_demodulation,[],[f5542,f4948]) ).
fof(f5786,plain,
( $false
| ~ spl42_109
| ~ spl42_117 ),
inference(forward_subsumption_resolution,[],[f4330,f1273]) ).
fof(f5787,plain,
( ~ spl42_109
| ~ spl42_117 ),
inference(avatar_contradiction_clause,[],[f5786]) ).
fof(f5794,plain,
( $false
| ~ spl42_103
| ~ spl42_107 ),
inference(forward_subsumption_resolution,[],[f4326,f1230]) ).
fof(f5795,plain,
( ~ spl42_103
| ~ spl42_107 ),
inference(avatar_contradiction_clause,[],[f5794]) ).
fof(f5806,plain,
( $false
| ~ spl42_63
| ~ spl42_75 ),
inference(forward_subsumption_resolution,[],[f4304,f1094]) ).
fof(f5807,plain,
( ~ spl42_63
| ~ spl42_75 ),
inference(avatar_contradiction_clause,[],[f5806]) ).
fof(f5814,plain,
( $false
| ~ spl42_65
| ~ spl42_70
| spl42_148 ),
inference(forward_subsumption_resolution,[],[f5768,f1052]) ).
fof(f5815,plain,
( ~ spl42_65
| ~ spl42_70
| spl42_148 ),
inference(avatar_contradiction_clause,[],[f5814]) ).
fof(f5816,plain,
( $false
| ~ spl42_124
| spl42_155 ),
inference(forward_subsumption_resolution,[],[f5772,f1302]) ).
fof(f5817,plain,
( ~ spl42_124
| spl42_155 ),
inference(avatar_contradiction_clause,[],[f5816]) ).
fof(f5824,plain,
( $false
| ~ spl42_48
| ~ spl42_219
| ~ spl42_223
| spl42_276 ),
inference(forward_subsumption_resolution,[],[f5781,f2376]) ).
fof(f5825,plain,
( ~ spl42_48
| ~ spl42_219
| ~ spl42_223
| spl42_276 ),
inference(avatar_contradiction_clause,[],[f5824]) ).
fof(f5849,plain,
( $false
| ~ spl42_73
| ~ spl42_105 ),
inference(forward_subsumption_resolution,[],[f4371,f1222]) ).
fof(f5850,plain,
( ~ spl42_73
| ~ spl42_105 ),
inference(avatar_contradiction_clause,[],[f5849]) ).
fof(f5852,plain,
( e10 = e13
| ~ spl42_101
| ~ spl42_104 ),
inference(forward_demodulation,[],[f1205,f1217]) ).
fof(f5858,plain,
( e10 = e11
| ~ spl42_123
| ~ spl42_124 ),
inference(forward_demodulation,[],[f1298,f1302]) ).
fof(f5891,plain,
( $false
| ~ spl42_101
| ~ spl42_104 ),
inference(forward_subsumption_resolution,[],[f5852,f175]) ).
fof(f5892,plain,
( ~ spl42_101
| ~ spl42_104 ),
inference(avatar_contradiction_clause,[],[f5891]) ).
fof(f5893,plain,
( $false
| ~ spl42_123
| ~ spl42_124 ),
inference(forward_subsumption_resolution,[],[f5858,f177]) ).
fof(f5894,plain,
( ~ spl42_123
| ~ spl42_124 ),
inference(avatar_contradiction_clause,[],[f5893]) ).
fof(f5945,plain,
( $false
| ~ spl42_68
| ~ spl42_116 ),
inference(forward_subsumption_resolution,[],[f4353,f1268]) ).
fof(f5946,plain,
( ~ spl42_68
| ~ spl42_116 ),
inference(avatar_contradiction_clause,[],[f5945]) ).
fof(f5973,plain,
( $false
| ~ spl42_73
| ~ spl42_89 ),
inference(forward_subsumption_resolution,[],[f4369,f1154]) ).
fof(f5974,plain,
( ~ spl42_73
| ~ spl42_89 ),
inference(avatar_contradiction_clause,[],[f5973]) ).
fof(f5978,plain,
( $false
| ~ spl42_80
| ~ spl42_88 ),
inference(forward_subsumption_resolution,[],[f4309,f1149]) ).
fof(f5979,plain,
( ~ spl42_80
| ~ spl42_88 ),
inference(avatar_contradiction_clause,[],[f5978]) ).
fof(f6055,plain,
( ~ spl42_170
| ~ spl42_1 ),
inference(avatar_split_clause,[],[f4069,f620,f1649]) ).
fof(f6059,plain,
( ~ spl42_36
| ~ spl42_12 ),
inference(avatar_split_clause,[],[f4412,f666,f770]) ).
fof(f6061,plain,
( ~ spl42_170
| ~ spl42_17 ),
inference(avatar_split_clause,[],[f4148,f689,f1649]) ).
fof(f6062,plain,
( ~ spl42_182
| ~ spl42_17 ),
inference(avatar_split_clause,[],[f4147,f689,f1709]) ).
fof(f6064,plain,
( $false
| ~ spl42_20
| ~ spl42_48 ),
inference(forward_subsumption_resolution,[],[f4408,f823]) ).
fof(f6065,plain,
( ~ spl42_20
| ~ spl42_48 ),
inference(avatar_contradiction_clause,[],[f6064]) ).
fof(f6067,plain,
( ~ spl42_206
| ~ spl42_20 ),
inference(avatar_split_clause,[],[f4154,f701,f1852]) ).
fof(f6070,plain,
( ~ spl42_206
| ~ spl42_28 ),
inference(avatar_split_clause,[],[f4267,f735,f1852]) ).
fof(f6073,plain,
( ~ spl42_36
| ~ spl42_28 ),
inference(avatar_split_clause,[],[f4388,f735,f770]) ).
fof(f6081,plain,
( ~ spl42_91
| ~ spl42_83 ),
inference(avatar_split_clause,[],[f4313,f1126,f1160]) ).
fof(f6082,plain,
( ~ spl42_99
| ~ spl42_83 ),
inference(avatar_split_clause,[],[f4351,f1126,f1194]) ).
fof(f6087,plain,
( ~ spl42_101
| ~ spl42_85 ),
inference(avatar_split_clause,[],[f4361,f1135,f1203]) ).
fof(f6091,plain,
( ~ spl42_122
| ~ spl42_90 ),
inference(avatar_split_clause,[],[f4376,f1156,f1292]) ).
fof(f6110,plain,
( ~ spl42_124
| ~ spl42_120 ),
inference(avatar_split_clause,[],[f4336,f1283,f1300]) ).
fof(f6159,plain,
( $false
| ~ spl42_6
| ~ spl42_186 ),
inference(forward_subsumption_resolution,[],[f4121,f1730]) ).
fof(f6160,plain,
( ~ spl42_6
| ~ spl42_186 ),
inference(avatar_contradiction_clause,[],[f6159]) ).
fof(f6209,plain,
( e22 = op2(e22,e22)
| ~ spl42_14
| ~ spl42_211 ),
inference(forward_demodulation,[],[f1890,f677]) ).
fof(f6328,plain,
( ~ spl42_42
| ~ spl42_30 ),
inference(avatar_split_clause,[],[f4403,f744,f796]) ).
fof(f6329,plain,
( ~ spl42_34
| ~ spl42_30 ),
inference(avatar_split_clause,[],[f4390,f744,f762]) ).
fof(f6332,plain,
( ~ spl42_190
| ~ spl42_35 ),
inference(avatar_split_clause,[],[f4058,f766,f1749]) ).
fof(f6333,plain,
( ~ spl42_202
| ~ spl42_35 ),
inference(avatar_split_clause,[],[f4083,f766,f1809]) ).
fof(f6335,plain,
( ~ spl42_190
| ~ spl42_47 ),
inference(avatar_split_clause,[],[f4077,f817,f1749]) ).
fof(f6336,plain,
( ~ spl42_202
| ~ spl42_47 ),
inference(avatar_split_clause,[],[f4064,f817,f1809]) ).
fof(f6385,plain,
( e22 != op2(e22,e23)
| ~ spl42_21
| spl42_221 ),
inference(forward_demodulation,[],[f1932,f708]) ).
fof(f6413,plain,
( $false
| ~ spl42_14
| ~ spl42_21
| spl42_221 ),
inference(forward_subsumption_resolution,[],[f6385,f677]) ).
fof(f6414,plain,
( ~ spl42_14
| ~ spl42_21
| spl42_221 ),
inference(avatar_contradiction_clause,[],[f6413]) ).
fof(f6655,plain,
( e22 = h3(e11)
| ~ spl42_14
| ~ spl42_211 ),
inference(superposition,[],[f6209,f607]) ).
fof(f6659,plain,
( $false
| ~ spl42_14
| spl42_174
| ~ spl42_211 ),
inference(forward_subsumption_resolution,[],[f6655,f1671]) ).
fof(f6660,plain,
( ~ spl42_14
| spl42_174
| ~ spl42_211 ),
inference(avatar_contradiction_clause,[],[f6659]) ).
fof(f6677,plain,
h3(e12) = op2(e22,h3(e11)),
inference(superposition,[],[f606,f607]) ).
fof(f6678,plain,
( op2(e22,e21) = h3(e12)
| ~ spl42_178 ),
inference(forward_demodulation,[],[f6677,f1690]) ).
fof(f6679,plain,
( e22 = op2(e22,e21)
| ~ spl42_173
| ~ spl42_178 ),
inference(forward_demodulation,[],[f6678,f1665]) ).
fof(f6680,plain,
( $false
| spl42_18
| ~ spl42_173
| ~ spl42_178 ),
inference(forward_subsumption_resolution,[],[f6679,f694]) ).
fof(f6681,plain,
( spl42_18
| ~ spl42_173
| ~ spl42_178 ),
inference(avatar_contradiction_clause,[],[f6680]) ).
fof(f6686,plain,
( ~ spl42_32
| ~ spl42_4 ),
inference(avatar_split_clause,[],[f5597,f632,f752]) ).
fof(f6687,plain,
( ~ spl42_44
| ~ spl42_4 ),
inference(avatar_split_clause,[],[f5598,f632,f804]) ).
fof(f6688,plain,
( ~ spl42_21
| ~ spl42_9 ),
inference(avatar_split_clause,[],[f5606,f654,f706]) ).
fof(f6710,plain,
( e20 = op2(e20,e23)
| ~ spl42_37
| ~ spl42_213 ),
inference(forward_demodulation,[],[f1898,f777]) ).
fof(f6715,plain,
( e21 = op2(e21,e22)
| ~ spl42_34
| ~ spl42_222 ),
inference(forward_demodulation,[],[f1937,f764]) ).
fof(f6722,plain,
( op2(e20,e21) = h1(e12)
| ~ spl42_202 ),
inference(forward_demodulation,[],[f4445,f1810]) ).
fof(f6746,plain,
( e23 = h3(e12)
| ~ spl42_17
| ~ spl42_178 ),
inference(forward_demodulation,[],[f6678,f691]) ).
fof(f6771,plain,
( spl42_40
| ~ spl42_37
| ~ spl42_213 ),
inference(avatar_split_clause,[],[f6710,f1896,f775,f787]) ).
fof(f6773,plain,
( $false
| spl42_31
| ~ spl42_34
| ~ spl42_222 ),
inference(forward_subsumption_resolution,[],[f6715,f749]) ).
fof(f6774,plain,
( spl42_31
| ~ spl42_34
| ~ spl42_222 ),
inference(avatar_contradiction_clause,[],[f6773]) ).
fof(f6779,plain,
( e20 = h1(e12)
| ~ spl42_48
| ~ spl42_202 ),
inference(forward_demodulation,[],[f6722,f823]) ).
fof(f6791,plain,
( spl42_169
| ~ spl42_17
| ~ spl42_178 ),
inference(avatar_split_clause,[],[f6746,f1689,f689,f1644]) ).
fof(f6811,plain,
( ~ spl42_29
| ~ spl42_1 ),
inference(avatar_split_clause,[],[f4401,f620,f740]) ).
fof(f6814,plain,
( ~ spl42_24
| ~ spl42_12 ),
inference(avatar_split_clause,[],[f4410,f666,f718]) ).
fof(f6818,plain,
( ~ spl42_190
| ~ spl42_19 ),
inference(avatar_split_clause,[],[f4891,f697,f1749]) ).
fof(f6819,plain,
( ~ spl42_23
| ~ spl42_19 ),
inference(avatar_split_clause,[],[f4886,f697,f714]) ).
fof(f6820,plain,
( ~ spl42_178
| ~ spl42_19 ),
inference(avatar_split_clause,[],[f4890,f697,f1689]) ).
fof(f6824,plain,
( ~ spl42_190
| ~ spl42_31 ),
inference(avatar_split_clause,[],[f5629,f748,f1749]) ).
fof(f6825,plain,
( ~ spl42_178
| ~ spl42_31 ),
inference(avatar_split_clause,[],[f5630,f748,f1689]) ).
fof(f6843,plain,
( e21 = op2(e21,e23)
| ~ spl42_25
| ~ spl42_212 ),
inference(forward_demodulation,[],[f1894,f725]) ).
fof(f6904,plain,
( spl42_27
| ~ spl42_25
| ~ spl42_212 ),
inference(avatar_split_clause,[],[f6843,f1892,f723,f731]) ).
fof(f6956,plain,
( ~ spl42_205
| ~ spl42_4 ),
inference(avatar_split_clause,[],[f5601,f632,f1840]) ).
fof(f6962,plain,
( spl42_22
| ~ spl42_16
| ~ spl42_211 ),
inference(avatar_split_clause,[],[f5356,f1888,f683,f710]) ).
fof(f6963,plain,
( ~ spl42_20
| ~ spl42_16 ),
inference(avatar_split_clause,[],[f5612,f683,f701]) ).
fof(f6965,plain,
( ~ spl42_28
| ~ spl42_16 ),
inference(avatar_split_clause,[],[f5614,f683,f735]) ).
fof(f6966,plain,
( ~ spl42_40
| ~ spl42_16 ),
inference(avatar_split_clause,[],[f5615,f683,f787]) ).
fof(f6967,plain,
( ~ spl42_205
| ~ spl42_16 ),
inference(avatar_split_clause,[],[f5618,f683,f1840]) ).
fof(f6969,plain,
( ~ spl42_34
| ~ spl42_22 ),
inference(avatar_split_clause,[],[f4414,f710,f762]) ).
fof(f6972,plain,
( ~ spl42_30
| ~ spl42_26 ),
inference(avatar_split_clause,[],[f4902,f727,f744]) ).
fof(f6976,plain,
( ~ spl42_45
| ~ spl42_37 ),
inference(avatar_split_clause,[],[f5637,f775,f809]) ).
fof(f6978,plain,
( spl42_223
| ~ spl42_48
| ~ spl42_202 ),
inference(avatar_split_clause,[],[f6779,f1809,f821,f1939]) ).
fof(f7025,plain,
( e20 = e21
| ~ spl42_83
| ~ spl42_202
| ~ spl42_223
| ~ spl42_260
| ~ spl42_276 ),
inference(forward_demodulation,[],[f5546,f2375]) ).
fof(f7056,plain,
( h3(op1(e12,e11)) != op2(h3(e12),e21)
| ~ spl42_178
| spl42_226 ),
inference(forward_demodulation,[],[f2166,f1690]) ).
fof(f7118,plain,
( $false
| ~ spl42_83
| ~ spl42_202
| ~ spl42_223
| ~ spl42_260
| ~ spl42_276 ),
inference(forward_subsumption_resolution,[],[f7025,f501]) ).
fof(f7119,plain,
( ~ spl42_83
| ~ spl42_202
| ~ spl42_223
| ~ spl42_260
| ~ spl42_276 ),
inference(avatar_contradiction_clause,[],[f7118]) ).
fof(f7142,plain,
( op2(e23,e21) != h3(op1(e12,e11))
| ~ spl42_169
| ~ spl42_178
| spl42_226 ),
inference(forward_demodulation,[],[f7056,f1645]) ).
fof(f7187,plain,
( op2(e23,e21) != h3(e13)
| ~ spl42_85
| ~ spl42_169
| ~ spl42_178
| spl42_226 ),
inference(forward_demodulation,[],[f7142,f1137]) ).
fof(f7202,plain,
( e22 != op2(e23,e21)
| ~ spl42_85
| ~ spl42_169
| ~ spl42_178
| spl42_226 ),
inference(forward_demodulation,[],[f7187,f609]) ).
fof(f7204,plain,
( $false
| ~ spl42_6
| ~ spl42_85
| ~ spl42_169
| ~ spl42_178
| spl42_226 ),
inference(forward_subsumption_resolution,[],[f7202,f643]) ).
fof(f7205,plain,
( ~ spl42_6
| ~ spl42_85
| ~ spl42_169
| ~ spl42_178
| spl42_226 ),
inference(avatar_contradiction_clause,[],[f7204]) ).
fof(f7308,plain,
( op2(e23,e22) = h3(e10)
| ~ spl42_169 ),
inference(superposition,[],[f615,f1645]) ).
fof(f7312,plain,
( e20 = h3(e10)
| ~ spl42_4
| ~ spl42_169 ),
inference(forward_demodulation,[],[f7308,f634]) ).
fof(f7313,plain,
( $false
| ~ spl42_4
| ~ spl42_169
| spl42_241 ),
inference(forward_subsumption_resolution,[],[f7312,f2228]) ).
fof(f7314,plain,
( ~ spl42_4
| ~ spl42_169
| spl42_241 ),
inference(avatar_contradiction_clause,[],[f7313]) ).
fof(f7315,plain,
( op2(e23,e20) != h3(op1(e12,e10))
| ~ spl42_169
| spl42_227
| ~ spl42_241 ),
inference(forward_demodulation,[],[f4846,f1645]) ).
fof(f7320,plain,
( op2(e23,e20) != h3(e12)
| ~ spl42_90
| ~ spl42_169
| spl42_227
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7315,f1158]) ).
fof(f7323,plain,
( e23 != op2(e23,e20)
| ~ spl42_90
| ~ spl42_169
| spl42_227
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7320,f1645]) ).
fof(f7325,plain,
( $false
| ~ spl42_9
| ~ spl42_90
| ~ spl42_169
| spl42_227
| ~ spl42_241 ),
inference(forward_subsumption_resolution,[],[f7323,f656]) ).
fof(f7326,plain,
( ~ spl42_9
| ~ spl42_90
| ~ spl42_169
| spl42_227
| ~ spl42_241 ),
inference(avatar_contradiction_clause,[],[f7325]) ).
fof(f7331,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| ~ spl42_178
| spl42_232 ),
inference(forward_demodulation,[],[f2190,f1690]) ).
fof(f7335,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| ~ spl42_178
| spl42_232
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7331,f2227]) ).
fof(f7338,plain,
( op2(e20,e21) != h3(e10)
| ~ spl42_120
| ~ spl42_178
| spl42_232
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7335,f1285]) ).
fof(f7340,plain,
( e20 != op2(e20,e21)
| ~ spl42_120
| ~ spl42_178
| spl42_232
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7338,f2227]) ).
fof(f7341,plain,
( $false
| ~ spl42_48
| ~ spl42_120
| ~ spl42_178
| spl42_232
| ~ spl42_241 ),
inference(forward_subsumption_resolution,[],[f7340,f823]) ).
fof(f7342,plain,
( ~ spl42_48
| ~ spl42_120
| ~ spl42_178
| spl42_232
| ~ spl42_241 ),
inference(avatar_contradiction_clause,[],[f7341]) ).
fof(f7343,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| spl42_230
| ~ spl42_241 ),
inference(forward_demodulation,[],[f2182,f2227]) ).
fof(f7345,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| ~ spl42_178
| spl42_230
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7343,f1690]) ).
fof(f7347,plain,
( op2(e21,e20) != h3(e10)
| ~ spl42_108
| ~ spl42_178
| spl42_230
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7345,f1234]) ).
fof(f7349,plain,
( e20 != op2(e21,e20)
| ~ spl42_108
| ~ spl42_178
| spl42_230
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7347,f2227]) ).
fof(f7351,plain,
( $false
| ~ spl42_36
| ~ spl42_108
| ~ spl42_178
| spl42_230
| ~ spl42_241 ),
inference(forward_subsumption_resolution,[],[f7349,f772]) ).
fof(f7352,plain,
( ~ spl42_36
| ~ spl42_108
| ~ spl42_178
| spl42_230
| ~ spl42_241 ),
inference(avatar_contradiction_clause,[],[f7351]) ).
fof(f7354,plain,
( op2(e21,e22) != h3(op1(e11,e13))
| ~ spl42_178
| spl42_235 ),
inference(forward_demodulation,[],[f2202,f1690]) ).
fof(f7356,plain,
( op2(e21,e22) != h3(e12)
| ~ spl42_94
| ~ spl42_178
| spl42_235 ),
inference(forward_demodulation,[],[f7354,f1175]) ).
fof(f7358,plain,
( e23 != op2(e21,e22)
| ~ spl42_94
| ~ spl42_169
| ~ spl42_178
| spl42_235 ),
inference(forward_demodulation,[],[f7356,f1645]) ).
fof(f7360,plain,
( $false
| ~ spl42_29
| ~ spl42_94
| ~ spl42_169
| ~ spl42_178
| spl42_235 ),
inference(forward_subsumption_resolution,[],[f7358,f742]) ).
fof(f7361,plain,
( ~ spl42_29
| ~ spl42_94
| ~ spl42_169
| ~ spl42_178
| spl42_235 ),
inference(avatar_contradiction_clause,[],[f7360]) ).
fof(f7362,plain,
( op2(e20,e22) != h3(op1(e10,e13))
| spl42_234
| ~ spl42_241 ),
inference(forward_demodulation,[],[f2198,f2227]) ).
fof(f7364,plain,
( op2(e20,e22) != h3(e13)
| ~ spl42_109
| spl42_234
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7362,f1239]) ).
fof(f7366,plain,
( e22 != op2(e20,e22)
| ~ spl42_109
| spl42_234
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7364,f609]) ).
fof(f7368,plain,
( $false
| ~ spl42_42
| ~ spl42_109
| spl42_234
| ~ spl42_241 ),
inference(forward_subsumption_resolution,[],[f7366,f798]) ).
fof(f7369,plain,
( ~ spl42_42
| ~ spl42_109
| spl42_234
| ~ spl42_241 ),
inference(avatar_contradiction_clause,[],[f7368]) ).
fof(f7371,plain,
( op2(e22,e20) != h3(op1(e13,e10))
| spl42_237
| ~ spl42_241 ),
inference(forward_demodulation,[],[f2210,f2227]) ).
fof(f7373,plain,
( op2(e22,e20) != h3(e13)
| ~ spl42_73
| spl42_237
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7371,f1086]) ).
fof(f7375,plain,
( e22 != op2(e22,e20)
| ~ spl42_73
| spl42_237
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7373,f609]) ).
fof(f7376,plain,
( $false
| ~ spl42_22
| ~ spl42_73
| spl42_237
| ~ spl42_241 ),
inference(forward_subsumption_resolution,[],[f7375,f712]) ).
fof(f7377,plain,
( ~ spl42_22
| ~ spl42_73
| spl42_237
| ~ spl42_241 ),
inference(avatar_contradiction_clause,[],[f7376]) ).
fof(f7378,plain,
( h3(e10) != h3(e10)
| ~ spl42_80
| spl42_236 ),
inference(forward_demodulation,[],[f2206,f1115]) ).
fof(f7379,plain,
( $false
| ~ spl42_80
| spl42_236 ),
inference(trivial_inequality_removal,[],[f7378]) ).
fof(f7380,plain,
( ~ spl42_80
| spl42_236 ),
inference(avatar_contradiction_clause,[],[f7379]) ).
fof(f7384,plain,
( op2(e22,e21) != h3(op1(e13,e11))
| ~ spl42_178
| spl42_238 ),
inference(forward_demodulation,[],[f2214,f1690]) ).
fof(f7385,plain,
( op2(e22,e21) != h3(e12)
| ~ spl42_70
| ~ spl42_178
| spl42_238 ),
inference(forward_demodulation,[],[f7384,f1073]) ).
fof(f7386,plain,
( e23 != op2(e22,e21)
| ~ spl42_70
| ~ spl42_169
| ~ spl42_178
| spl42_238 ),
inference(forward_demodulation,[],[f7385,f1645]) ).
fof(f7387,plain,
( $false
| ~ spl42_17
| ~ spl42_70
| ~ spl42_169
| ~ spl42_178
| spl42_238 ),
inference(forward_subsumption_resolution,[],[f7386,f691]) ).
fof(f7388,plain,
( ~ spl42_17
| ~ spl42_70
| ~ spl42_169
| ~ spl42_178
| spl42_238 ),
inference(avatar_contradiction_clause,[],[f7387]) ).
fof(f7390,plain,
( h3(e11) != h3(e11)
| ~ spl42_63
| spl42_240 ),
inference(forward_demodulation,[],[f2222,f1043]) ).
fof(f7391,plain,
( $false
| ~ spl42_63
| spl42_240 ),
inference(trivial_inequality_removal,[],[f7390]) ).
fof(f7392,plain,
( ~ spl42_63
| spl42_240 ),
inference(avatar_contradiction_clause,[],[f7391]) ).
fof(f7395,plain,
( op2(e22,e23) != h3(op1(e13,e12))
| ~ spl42_169
| spl42_239 ),
inference(forward_demodulation,[],[f2218,f1645]) ).
fof(f7396,plain,
( op2(e22,e23) != h3(e10)
| ~ spl42_68
| ~ spl42_169
| spl42_239 ),
inference(forward_demodulation,[],[f7395,f1064]) ).
fof(f7397,plain,
( e20 != op2(e22,e23)
| ~ spl42_68
| ~ spl42_169
| spl42_239
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7396,f2227]) ).
fof(f7398,plain,
( $false
| ~ spl42_16
| ~ spl42_68
| ~ spl42_169
| spl42_239
| ~ spl42_241 ),
inference(forward_subsumption_resolution,[],[f7397,f685]) ).
fof(f7399,plain,
( ~ spl42_16
| ~ spl42_68
| ~ spl42_169
| spl42_239
| ~ spl42_241 ),
inference(avatar_contradiction_clause,[],[f7398]) ).
fof(f7400,plain,
( op2(e23,e23) != h3(op1(e12,e12))
| ~ spl42_169
| spl42_225 ),
inference(forward_demodulation,[],[f2162,f1645]) ).
fof(f7405,plain,
( op2(e23,e23) != h3(e11)
| ~ spl42_83
| ~ spl42_169
| spl42_225 ),
inference(forward_demodulation,[],[f7400,f1128]) ).
fof(f7411,plain,
( e21 != op2(e23,e23)
| ~ spl42_83
| ~ spl42_169
| ~ spl42_178
| spl42_225 ),
inference(forward_demodulation,[],[f7405,f1690]) ).
fof(f7417,plain,
( $false
| ~ spl42_83
| ~ spl42_169
| ~ spl42_178
| spl42_225 ),
inference(forward_subsumption_resolution,[],[f7411,f378]) ).
fof(f7418,plain,
( ~ spl42_83
| ~ spl42_169
| ~ spl42_178
| spl42_225 ),
inference(avatar_contradiction_clause,[],[f7417]) ).
fof(f7422,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e23)
| ~ spl42_169
| spl42_231 ),
inference(forward_demodulation,[],[f2186,f1645]) ).
fof(f7425,plain,
( op2(e20,e23) != h3(op1(e10,e12))
| ~ spl42_169
| spl42_231
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7422,f2227]) ).
fof(f7427,plain,
( op2(e20,e23) != h3(e12)
| ~ spl42_114
| ~ spl42_169
| spl42_231
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7425,f1260]) ).
fof(f7428,plain,
( e23 != op2(e20,e23)
| ~ spl42_114
| ~ spl42_169
| spl42_231
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7427,f1645]) ).
fof(f7429,plain,
( $false
| ~ spl42_37
| ~ spl42_114
| ~ spl42_169
| spl42_231
| ~ spl42_241 ),
inference(forward_subsumption_resolution,[],[f7428,f777]) ).
fof(f7430,plain,
( ~ spl42_37
| ~ spl42_114
| ~ spl42_169
| spl42_231
| ~ spl42_241 ),
inference(avatar_contradiction_clause,[],[f7429]) ).
fof(f7431,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e23)
| ~ spl42_169
| spl42_228 ),
inference(forward_demodulation,[],[f2174,f1645]) ).
fof(f7439,plain,
( op2(e21,e23) != h3(op1(e11,e12))
| ~ spl42_169
| ~ spl42_178
| spl42_228 ),
inference(forward_demodulation,[],[f7431,f1690]) ).
fof(f7445,plain,
( op2(e21,e23) != h3(e13)
| ~ spl42_97
| ~ spl42_169
| ~ spl42_178
| spl42_228 ),
inference(forward_demodulation,[],[f7439,f1188]) ).
fof(f7450,plain,
( e22 != op2(e21,e23)
| ~ spl42_97
| ~ spl42_169
| ~ spl42_178
| spl42_228 ),
inference(forward_demodulation,[],[f7445,f609]) ).
fof(f7452,plain,
( $false
| ~ spl42_26
| ~ spl42_97
| ~ spl42_169
| ~ spl42_178
| spl42_228 ),
inference(forward_subsumption_resolution,[],[f7450,f729]) ).
fof(f7453,plain,
( ~ spl42_26
| ~ spl42_97
| ~ spl42_169
| ~ spl42_178
| spl42_228 ),
inference(avatar_contradiction_clause,[],[f7452]) ).
fof(f7459,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| spl42_233
| ~ spl42_241 ),
inference(forward_demodulation,[],[f2194,f2227]) ).
fof(f7470,plain,
( op2(e20,e20) != h3(e11)
| ~ spl42_123
| spl42_233
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7459,f1298]) ).
fof(f7482,plain,
( op2(e20,e20) != e21
| ~ spl42_123
| ~ spl42_178
| spl42_233
| ~ spl42_241 ),
inference(forward_demodulation,[],[f7470,f1690]) ).
fof(f7488,plain,
( $false
| ~ spl42_83
| ~ spl42_123
| ~ spl42_178
| ~ spl42_202
| ~ spl42_223
| spl42_233
| ~ spl42_241
| ~ spl42_260 ),
inference(forward_subsumption_resolution,[],[f7482,f5383]) ).
fof(f7489,plain,
( ~ spl42_83
| ~ spl42_123
| ~ spl42_178
| ~ spl42_202
| ~ spl42_223
| spl42_233
| ~ spl42_241
| ~ spl42_260 ),
inference(avatar_contradiction_clause,[],[f7488]) ).
fof(f7499,plain,
( e11 = op1(e11,e10)
| ~ spl42_100
| ~ spl42_146 ),
inference(forward_demodulation,[],[f1430,f1200]) ).
fof(f7543,plain,
( $false
| ~ spl42_100
| spl42_107
| ~ spl42_146 ),
inference(forward_subsumption_resolution,[],[f7499,f1229]) ).
fof(f7544,plain,
( ~ spl42_100
| spl42_107
| ~ spl42_146 ),
inference(avatar_contradiction_clause,[],[f7543]) ).
cnf(s5,plain,
( spl42_17
| spl42_18
| spl42_19
| spl42_20 ),
inference(sat_conversion,[],[f704]) ).
cnf(s8,plain,
( spl42_29
| spl42_30
| spl42_31
| spl42_32 ),
inference(sat_conversion,[],[f755]) ).
cnf(s9,plain,
( spl42_33
| spl42_34
| spl42_35
| spl42_36 ),
inference(sat_conversion,[],[f773]) ).
cnf(s10,plain,
( spl42_37
| spl42_38
| spl42_39
| spl42_40 ),
inference(sat_conversion,[],[f790]) ).
cnf(s11,plain,
( spl42_41
| spl42_42
| spl42_43
| spl42_44 ),
inference(sat_conversion,[],[f807]) ).
cnf(s13,plain,
( spl42_13
| ~ spl42_49 ),
inference(sat_conversion,[],[f906]) ).
cnf(s14,plain,
( spl42_1
| ~ spl42_49 ),
inference(sat_conversion,[],[f907]) ).
cnf(s17,plain,
( spl42_37
| ~ spl42_51 ),
inference(sat_conversion,[],[f926]) ).
cnf(s18,plain,
( spl42_9
| ~ spl42_51 ),
inference(sat_conversion,[],[f927]) ).
cnf(s19,plain,
( spl42_2
| ~ spl42_52 ),
inference(sat_conversion,[],[f936]) ).
cnf(s23,plain,
( spl42_42
| ~ spl42_54 ),
inference(sat_conversion,[],[f962]) ).
cnf(s24,plain,
( spl42_22
| ~ spl42_54 ),
inference(sat_conversion,[],[f963]) ).
cnf(s26,plain,
( spl42_27
| ~ spl42_55 ),
inference(sat_conversion,[],[f973]) ).
cnf(s27,plain,
( spl42_19
| ~ spl42_56 ),
inference(sat_conversion,[],[f982]) ).
cnf(s28,plain,
( spl42_31
| ~ spl42_56 ),
inference(sat_conversion,[],[f983]) ).
cnf(s29,plain,
( spl42_47
| ~ spl42_57 ),
inference(sat_conversion,[],[f998]) ).
cnf(s30,plain,
( spl42_35
| ~ spl42_57 ),
inference(sat_conversion,[],[f999]) ).
cnf(s31,plain,
( spl42_12
| ~ spl42_58 ),
inference(sat_conversion,[],[f1008]) ).
cnf(s32,plain,
( spl42_40
| ~ spl42_58 ),
inference(sat_conversion,[],[f1009]) ).
cnf(s33,plain,
( spl42_24
| ~ spl42_59 ),
inference(sat_conversion,[],[f1018]) ).
cnf(s34,plain,
( spl42_44
| ~ spl42_59 ),
inference(sat_conversion,[],[f1019]) ).
cnf(s53,plain,
( spl42_61
| spl42_77
| spl42_93
| spl42_109 ),
inference(sat_conversion,[],[f1304]) ).
cnf(s54,plain,
( spl42_61
| spl42_65
| spl42_69
| spl42_73 ),
inference(sat_conversion,[],[f1305]) ).
cnf(s55,plain,
( spl42_62
| spl42_78
| spl42_94
| spl42_110 ),
inference(sat_conversion,[],[f1306]) ).
cnf(s60,plain,
( spl42_64
| spl42_68
| spl42_72
| spl42_76 ),
inference(sat_conversion,[],[f1311]) ).
cnf(s61,plain,
( spl42_65
| spl42_81
| spl42_97
| spl42_113 ),
inference(sat_conversion,[],[f1312]) ).
cnf(s62,plain,
( spl42_77
| spl42_81
| spl42_85
| spl42_89 ),
inference(sat_conversion,[],[f1313]) ).
cnf(s63,plain,
( spl42_66
| spl42_82
| spl42_98
| spl42_114 ),
inference(sat_conversion,[],[f1314]) ).
cnf(s64,plain,
( spl42_78
| spl42_82
| spl42_86
| spl42_90 ),
inference(sat_conversion,[],[f1315]) ).
cnf(s65,plain,
( spl42_67
| spl42_83
| spl42_99
| spl42_115 ),
inference(sat_conversion,[],[f1316]) ).
cnf(s66,plain,
( spl42_79
| spl42_83
| spl42_87
| spl42_91 ),
inference(sat_conversion,[],[f1317]) ).
cnf(s67,plain,
( spl42_68
| spl42_84
| spl42_100
| spl42_116 ),
inference(sat_conversion,[],[f1318]) ).
cnf(s69,plain,
( spl42_69
| spl42_85
| spl42_101
| spl42_117 ),
inference(sat_conversion,[],[f1320]) ).
cnf(s70,plain,
( spl42_93
| spl42_97
| spl42_101
| spl42_105 ),
inference(sat_conversion,[],[f1321]) ).
cnf(s72,plain,
( spl42_94
| spl42_98
| spl42_102
| spl42_106 ),
inference(sat_conversion,[],[f1323]) ).
cnf(s73,plain,
( spl42_71
| spl42_87
| spl42_103
| spl42_119 ),
inference(sat_conversion,[],[f1324]) ).
cnf(s75,plain,
( spl42_72
| spl42_88
| spl42_104
| spl42_120 ),
inference(sat_conversion,[],[f1326]) ).
cnf(s78,plain,
( spl42_109
| spl42_113
| spl42_117
| spl42_121 ),
inference(sat_conversion,[],[f1329]) ).
cnf(s79,plain,
( spl42_74
| spl42_90
| spl42_106
| spl42_122 ),
inference(sat_conversion,[],[f1330]) ).
cnf(s80,plain,
( spl42_110
| spl42_114
| spl42_118
| spl42_122 ),
inference(sat_conversion,[],[f1331]) ).
cnf(s81,plain,
( spl42_75
| spl42_91
| spl42_107
| spl42_123 ),
inference(sat_conversion,[],[f1332]) ).
cnf(s83,plain,
( spl42_76
| spl42_92
| spl42_108
| spl42_124 ),
inference(sat_conversion,[],[f1334]) ).
cnf(s84,plain,
( spl42_112
| spl42_116
| spl42_120
| spl42_124 ),
inference(sat_conversion,[],[f1335]) ).
cnf(s88,plain,
( ~ spl42_124
| spl42_125
| spl42_126
| spl42_127
| spl42_128
| spl42_129
| spl42_130
| spl42_131
| spl42_132
| spl42_133
| spl42_134
| spl42_135
| spl42_136
| spl42_137
| spl42_138
| spl42_139 ),
inference(sat_conversion,[],[f1399]) ).
cnf(s89,plain,
( spl42_124
| spl42_125
| spl42_126
| spl42_127
| spl42_128
| spl42_129
| spl42_130
| spl42_131
| spl42_132
| spl42_133
| spl42_134
| spl42_135
| spl42_136
| spl42_137
| spl42_138
| spl42_139 ),
inference(sat_conversion,[],[f1400]) ).
cnf(s90,plain,
( spl42_124
| spl42_125
| spl42_126
| spl42_127
| spl42_128
| spl42_129
| spl42_130
| spl42_131
| spl42_132
| spl42_133
| spl42_134
| spl42_135
| spl42_136
| spl42_137
| spl42_138
| spl42_139 ),
inference(sat_conversion,[],[f1401]) ).
cnf(s91,plain,
( spl42_140
| spl42_141
| spl42_142
| spl42_143 ),
inference(sat_conversion,[],[f1418]) ).
cnf(s92,plain,
( spl42_144
| spl42_145
| spl42_146
| spl42_147 ),
inference(sat_conversion,[],[f1435]) ).
cnf(s93,plain,
( spl42_148
| spl42_149
| spl42_150
| spl42_151 ),
inference(sat_conversion,[],[f1452]) ).
cnf(s100,plain,
( spl42_61
| ~ spl42_125 ),
inference(sat_conversion,[],[f1475]) ).
cnf(s105,plain,
( spl42_77
| ~ spl42_126 ),
inference(sat_conversion,[],[f1480]) ).
cnf(s112,plain,
( spl42_69
| ~ spl42_127 ),
inference(sat_conversion,[],[f1487]) ).
cnf(s116,plain,
( ~ spl42_124
| ~ spl42_128 ),
inference(sat_conversion,[],[f1491]) ).
cnf(s117,plain,
( spl42_109
| ~ spl42_128 ),
inference(sat_conversion,[],[f1492]) ).
cnf(s118,plain,
( spl42_73
| ~ spl42_128 ),
inference(sat_conversion,[],[f1493]) ).
cnf(s124,plain,
( spl42_78
| ~ spl42_129 ),
inference(sat_conversion,[],[f1499]) ).
cnf(s126,plain,
( ~ spl42_82
| ~ spl42_130 ),
inference(sat_conversion,[],[f1501]) ).
cnf(s130,plain,
( spl42_82
| ~ spl42_130 ),
inference(sat_conversion,[],[f1505]) ).
cnf(s131,plain,
( ~ spl42_63
| ~ spl42_131 ),
inference(sat_conversion,[],[f1506]) ).
cnf(s138,plain,
( ~ spl42_84
| ~ spl42_132 ),
inference(sat_conversion,[],[f1513]) ).
cnf(s139,plain,
( ~ spl42_104
| ~ spl42_132 ),
inference(sat_conversion,[],[f1514]) ).
cnf(s140,plain,
( ~ spl42_124
| ~ spl42_132 ),
inference(sat_conversion,[],[f1515]) ).
cnf(s141,plain,
( spl42_114
| ~ spl42_132 ),
inference(sat_conversion,[],[f1516]) ).
cnf(s142,plain,
( spl42_90
| ~ spl42_132 ),
inference(sat_conversion,[],[f1517]) ).
cnf(s147,plain,
( spl42_71
| ~ spl42_133 ),
inference(sat_conversion,[],[f1522]) ).
cnf(s150,plain,
( ~ spl42_82
| ~ spl42_134 ),
inference(sat_conversion,[],[f1525]) ).
cnf(s151,plain,
( ~ spl42_102
| ~ spl42_134 ),
inference(sat_conversion,[],[f1526]) ).
cnf(s153,plain,
( spl42_87
| ~ spl42_134 ),
inference(sat_conversion,[],[f1528]) ).
cnf(s154,plain,
( spl42_99
| ~ spl42_134 ),
inference(sat_conversion,[],[f1529]) ).
cnf(s155,plain,
( ~ spl42_63
| ~ spl42_135 ),
inference(sat_conversion,[],[f1530]) ).
cnf(s163,plain,
( ~ spl42_104
| ~ spl42_136 ),
inference(sat_conversion,[],[f1538]) ).
cnf(s164,plain,
( ~ spl42_124
| ~ spl42_136 ),
inference(sat_conversion,[],[f1539]) ).
cnf(s165,plain,
( spl42_119
| ~ spl42_136 ),
inference(sat_conversion,[],[f1540]) ).
cnf(s166,plain,
( spl42_107
| ~ spl42_136 ),
inference(sat_conversion,[],[f1541]) ).
cnf(s171,plain,
( spl42_76
| ~ spl42_137 ),
inference(sat_conversion,[],[f1546]) ).
cnf(s172,plain,
( spl42_112
| ~ spl42_137 ),
inference(sat_conversion,[],[f1547]) ).
cnf(s174,plain,
( ~ spl42_82
| ~ spl42_138 ),
inference(sat_conversion,[],[f1549]) ).
cnf(s176,plain,
( ~ spl42_122
| ~ spl42_138 ),
inference(sat_conversion,[],[f1551]) ).
cnf(s177,plain,
( spl42_92
| ~ spl42_138 ),
inference(sat_conversion,[],[f1552]) ).
cnf(s178,plain,
( spl42_116
| ~ spl42_138 ),
inference(sat_conversion,[],[f1553]) ).
cnf(s179,plain,
( ~ spl42_63
| ~ spl42_139 ),
inference(sat_conversion,[],[f1554]) ).
cnf(s185,plain,
spl42_63,
inference(sat_conversion,[],[f1560]) ).
cnf(s195,plain,
( ~ spl42_168
| ~ spl42_169 ),
inference(sat_conversion,[],[f1647]) ).
cnf(s202,plain,
( ~ spl42_176
| ~ spl42_178 ),
inference(sat_conversion,[],[f1692]) ).
cnf(s222,plain,
( spl42_13
| spl42_25
| spl42_37
| spl42_158 ),
inference(sat_conversion,[],[f1821]) ).
cnf(s223,plain,
( spl42_1
| spl42_5
| spl42_9
| spl42_158 ),
inference(sat_conversion,[],[f1822]) ).
cnf(s224,plain,
( spl42_14
| spl42_26
| spl42_38
| spl42_162 ),
inference(sat_conversion,[],[f1823]) ).
cnf(s228,plain,
( spl42_16
| spl42_28
| spl42_40
| spl42_204 ),
inference(sat_conversion,[],[f1831]) ).
cnf(s229,plain,
( spl42_4
| spl42_8
| spl42_12
| spl42_204 ),
inference(sat_conversion,[],[f1832]) ).
cnf(s230,plain,
( spl42_1
| spl42_29
| spl42_41
| spl42_170 ),
inference(sat_conversion,[],[f1833]) ).
cnf(s231,plain,
( spl42_13
| spl42_17
| spl42_21
| spl42_170 ),
inference(sat_conversion,[],[f1834]) ).
cnf(s232,plain,
( spl42_2
| spl42_30
| spl42_42
| spl42_174 ),
inference(sat_conversion,[],[f1835]) ).
cnf(s233,plain,
( spl42_14
| spl42_18
| spl42_22
| spl42_174 ),
inference(sat_conversion,[],[f1836]) ).
cnf(s234,plain,
( spl42_3
| spl42_31
| spl42_43
| spl42_178 ),
inference(sat_conversion,[],[f1837]) ).
cnf(s235,plain,
( spl42_15
| spl42_19
| spl42_23
| spl42_178 ),
inference(sat_conversion,[],[f1838]) ).
cnf(s236,plain,
( spl42_4
| spl42_32
| spl42_44
| spl42_205 ),
inference(sat_conversion,[],[f1843]) ).
cnf(s237,plain,
( spl42_16
| spl42_20
| spl42_24
| spl42_205 ),
inference(sat_conversion,[],[f1844]) ).
cnf(s238,plain,
( spl42_5
| spl42_17
| spl42_45
| spl42_182 ),
inference(sat_conversion,[],[f1845]) ).
cnf(s239,plain,
( spl42_25
| spl42_29
| spl42_33
| spl42_182 ),
inference(sat_conversion,[],[f1846]) ).
cnf(s241,plain,
( spl42_26
| spl42_30
| spl42_34
| spl42_186 ),
inference(sat_conversion,[],[f1848]) ).
cnf(s242,plain,
( spl42_7
| spl42_19
| spl42_47
| spl42_190 ),
inference(sat_conversion,[],[f1849]) ).
cnf(s243,plain,
( spl42_27
| spl42_31
| spl42_35
| spl42_190 ),
inference(sat_conversion,[],[f1850]) ).
cnf(s244,plain,
( spl42_8
| spl42_20
| spl42_48
| spl42_206 ),
inference(sat_conversion,[],[f1855]) ).
cnf(s245,plain,
( spl42_28
| spl42_32
| spl42_36
| spl42_206 ),
inference(sat_conversion,[],[f1856]) ).
cnf(s247,plain,
( spl42_37
| spl42_41
| spl42_45
| spl42_194 ),
inference(sat_conversion,[],[f1858]) ).
cnf(s248,plain,
( spl42_10
| spl42_22
| spl42_34
| spl42_198 ),
inference(sat_conversion,[],[f1859]) ).
cnf(s249,plain,
( spl42_38
| spl42_42
| spl42_46
| spl42_198 ),
inference(sat_conversion,[],[f1860]) ).
cnf(s250,plain,
( spl42_11
| spl42_23
| spl42_35
| spl42_202 ),
inference(sat_conversion,[],[f1861]) ).
cnf(s251,plain,
( spl42_39
| spl42_43
| spl42_47
| spl42_202 ),
inference(sat_conversion,[],[f1862]) ).
cnf(s252,plain,
( spl42_12
| spl42_24
| spl42_36
| spl42_207 ),
inference(sat_conversion,[],[f1867]) ).
cnf(s253,plain,
( spl42_40
| spl42_44
| spl42_48
| spl42_207 ),
inference(sat_conversion,[],[f1868]) ).
cnf(s255,plain,
( spl42_49
| spl42_50
| spl42_51
| spl42_52
| spl42_53
| spl42_54
| spl42_55
| spl42_56
| spl42_57
| spl42_58
| spl42_59
| spl42_60
| ~ spl42_205
| spl42_208
| spl42_209
| spl42_210 ),
inference(sat_conversion,[],[f1882]) ).
cnf(s256,plain,
( spl42_49
| spl42_50
| spl42_51
| spl42_52
| spl42_53
| spl42_54
| spl42_55
| spl42_56
| spl42_57
| spl42_58
| spl42_59
| spl42_60
| ~ spl42_206
| spl42_208
| spl42_209
| spl42_210 ),
inference(sat_conversion,[],[f1883]) ).
cnf(s257,plain,
( spl42_49
| spl42_50
| spl42_51
| spl42_52
| spl42_53
| spl42_54
| spl42_55
| spl42_56
| spl42_57
| spl42_58
| spl42_59
| spl42_60
| ~ spl42_207
| spl42_208
| spl42_209
| spl42_210 ),
inference(sat_conversion,[],[f1884]) ).
cnf(s259,plain,
( spl42_49
| spl42_50
| spl42_51
| spl42_52
| spl42_53
| spl42_54
| spl42_55
| spl42_56
| spl42_57
| spl42_58
| spl42_59
| spl42_60
| spl42_207
| spl42_208
| spl42_209
| spl42_210 ),
inference(sat_conversion,[],[f1886]) ).
cnf(s260,plain,
( spl42_157
| spl42_211
| spl42_212
| spl42_213 ),
inference(sat_conversion,[],[f1899]) ).
cnf(s261,plain,
( spl42_173
| spl42_214
| spl42_215
| spl42_216 ),
inference(sat_conversion,[],[f1912]) ).
cnf(s262,plain,
( spl42_189
| spl42_217
| spl42_218
| spl42_219 ),
inference(sat_conversion,[],[f1925]) ).
cnf(s263,plain,
( spl42_220
| spl42_221
| spl42_222
| spl42_223 ),
inference(sat_conversion,[],[f1942]) ).
cnf(s269,plain,
( spl42_158
| ~ spl42_208 ),
inference(sat_conversion,[],[f1948]) ).
cnf(s271,plain,
( ~ spl42_49
| ~ spl42_174 ),
inference(sat_conversion,[],[f1950]) ).
cnf(s274,plain,
( ~ spl42_50
| ~ spl42_166 ),
inference(sat_conversion,[],[f1953]) ).
cnf(s280,plain,
( ~ spl42_51
| ~ spl42_206 ),
inference(sat_conversion,[],[f1959]) ).
cnf(s281,plain,
( ~ spl42_51
| ~ spl42_207 ),
inference(sat_conversion,[],[f1960]) ).
cnf(s287,plain,
( ~ spl42_174
| ~ spl42_209 ),
inference(sat_conversion,[],[f1966]) ).
cnf(s291,plain,
( spl42_174
| ~ spl42_209 ),
inference(sat_conversion,[],[f1970]) ).
cnf(s292,plain,
( ~ spl42_53
| ~ spl42_166 ),
inference(sat_conversion,[],[f1971]) ).
cnf(s297,plain,
( ~ spl42_54
| ~ spl42_205 ),
inference(sat_conversion,[],[f1976]) ).
cnf(s298,plain,
( ~ spl42_54
| ~ spl42_206 ),
inference(sat_conversion,[],[f1977]) ).
cnf(s299,plain,
( ~ spl42_54
| ~ spl42_207 ),
inference(sat_conversion,[],[f1978]) ).
cnf(s305,plain,
( ~ spl42_56
| ~ spl42_174 ),
inference(sat_conversion,[],[f1984]) ).
cnf(s307,plain,
( ~ spl42_56
| ~ spl42_198 ),
inference(sat_conversion,[],[f1986]) ).
cnf(s308,plain,
( ~ spl42_166
| ~ spl42_210 ),
inference(sat_conversion,[],[f1987]) ).
cnf(s316,plain,
( ~ spl42_57
| ~ spl42_206 ),
inference(sat_conversion,[],[f1995]) ).
cnf(s317,plain,
( ~ spl42_57
| ~ spl42_207 ),
inference(sat_conversion,[],[f1996]) ).
cnf(s320,plain,
( ~ spl42_58
| ~ spl42_182 ),
inference(sat_conversion,[],[f1999]) ).
cnf(s321,plain,
( ~ spl42_58
| ~ spl42_194 ),
inference(sat_conversion,[],[f2000]) ).
cnf(s326,plain,
( ~ spl42_60
| ~ spl42_166 ),
inference(sat_conversion,[],[f2005]) ).
cnf(s330,plain,
spl42_80,
inference(sat_conversion,[],[f2009]) ).
cnf(s332,plain,
~ spl42_172,
inference(sat_conversion,[],[f2027]) ).
cnf(s334,plain,
( spl42_170
| spl42_174
| spl42_178
| spl42_205 ),
inference(sat_conversion,[],[f2067]) ).
cnf(s335,plain,
( spl42_182
| spl42_186
| spl42_190
| spl42_206 ),
inference(sat_conversion,[],[f2068]) ).
cnf(s336,plain,
( spl42_194
| spl42_198
| spl42_202
| spl42_207 ),
inference(sat_conversion,[],[f2069]) ).
cnf(s339,plain,
( spl42_168
| spl42_172
| spl42_176
| ~ spl42_225
| ~ spl42_226
| ~ spl42_227
| ~ spl42_228
| ~ spl42_229
| ~ spl42_230
| ~ spl42_231
| ~ spl42_232
| ~ spl42_233
| ~ spl42_234
| ~ spl42_235
| ~ spl42_236
| ~ spl42_237
| ~ spl42_238
| ~ spl42_239
| ~ spl42_240
| ~ spl42_241 ),
inference(sat_conversion,[],[f2229]) ).
cnf(s350,plain,
~ spl42_140,
inference(sat_conversion,[],[f2472]) ).
cnf(s356,plain,
( ~ spl42_73
| ~ spl42_76 ),
inference(sat_conversion,[],[f2501]) ).
cnf(s360,plain,
( ~ spl42_68
| ~ spl42_70
| ~ spl42_148 ),
inference(sat_conversion,[],[f2516]) ).
cnf(s361,plain,
( ~ spl42_93
| ~ spl42_94 ),
inference(sat_conversion,[],[f2531]) ).
cnf(s362,plain,
( ~ spl42_73
| ~ spl42_74 ),
inference(sat_conversion,[],[f2533]) ).
cnf(s366,plain,
( ~ spl42_62
| ~ spl42_63 ),
inference(sat_conversion,[],[f2551]) ).
cnf(s367,plain,
( ~ spl42_93
| ~ spl42_95 ),
inference(sat_conversion,[],[f2555]) ).
cnf(s370,plain,
( ~ spl42_70
| ~ spl42_71 ),
inference(sat_conversion,[],[f2575]) ).
cnf(s372,plain,
( ~ spl42_77
| ~ spl42_80 ),
inference(sat_conversion,[],[f2579]) ).
cnf(s373,plain,
( ~ spl42_78
| ~ spl42_80 ),
inference(sat_conversion,[],[f2581]) ).
cnf(s378,plain,
( ~ spl42_63
| ~ spl42_65
| ~ spl42_144 ),
inference(sat_conversion,[],[f2591]) ).
cnf(s380,plain,
( ~ spl42_94
| ~ spl42_95 ),
inference(sat_conversion,[],[f2610]) ).
cnf(s382,plain,
( spl42_86
| ~ spl42_87
| ~ spl42_149 ),
inference(sat_conversion,[],[f2616]) ).
cnf(s384,plain,
( ~ spl42_70
| ~ spl42_72 ),
inference(sat_conversion,[],[f2635]) ).
cnf(s391,plain,
( ~ spl42_98
| ~ spl42_99 ),
inference(sat_conversion,[],[f2670]) ).
cnf(s393,plain,
( spl42_95
| ~ spl42_101
| ~ spl42_150 ),
inference(sat_conversion,[],[f2673]) ).
cnf(s394,plain,
( ~ spl42_110
| ~ spl42_112 ),
inference(sat_conversion,[],[f2676]) ).
cnf(s395,plain,
( ~ spl42_69
| ~ spl42_70 ),
inference(sat_conversion,[],[f2679]) ).
cnf(s400,plain,
( ~ spl42_109
| ~ spl42_112 ),
inference(sat_conversion,[],[f2700]) ).
cnf(s409,plain,
( ~ spl42_2
| ~ spl42_4 ),
inference(sat_conversion,[],[f2738]) ).
cnf(s411,plain,
( ~ spl42_5
| ~ spl42_6 ),
inference(sat_conversion,[],[f2746]) ).
cnf(s412,plain,
( ~ spl42_1
| ~ spl42_2 ),
inference(sat_conversion,[],[f2754]) ).
cnf(s414,plain,
( ~ spl42_9
| ~ spl42_11 ),
inference(sat_conversion,[],[f2764]) ).
cnf(s417,plain,
( ~ spl42_23
| ~ spl42_24 ),
inference(sat_conversion,[],[f2773]) ).
cnf(s420,plain,
( ~ spl42_14
| ~ spl42_15 ),
inference(sat_conversion,[],[f2785]) ).
cnf(s426,plain,
( ~ spl42_25
| ~ spl42_28 ),
inference(sat_conversion,[],[f2809]) ).
cnf(s430,plain,
( ~ spl42_170
| ~ spl42_178 ),
inference(sat_conversion,[],[f2824]) ).
cnf(s432,plain,
( ~ spl42_29
| ~ spl42_31 ),
inference(sat_conversion,[],[f2833]) ).
cnf(s434,plain,
( ~ spl42_34
| ~ spl42_35 ),
inference(sat_conversion,[],[f2840]) ).
cnf(s435,plain,
( ~ spl42_22
| ~ spl42_24 ),
inference(sat_conversion,[],[f2844]) ).
cnf(s437,plain,
( ~ spl42_9
| ~ spl42_10 ),
inference(sat_conversion,[],[f2853]) ).
cnf(s439,plain,
( ~ spl42_194
| ~ spl42_198 ),
inference(sat_conversion,[],[f2863]) ).
cnf(s440,plain,
( ~ spl42_194
| ~ spl42_198 ),
inference(sat_conversion,[],[f2865]) ).
cnf(s443,plain,
( ~ spl42_25
| ~ spl42_26 ),
inference(sat_conversion,[],[f2886]) ).
cnf(s444,plain,
( ~ spl42_13
| ~ spl42_15 ),
inference(sat_conversion,[],[f2892]) ).
cnf(s445,plain,
( ~ spl42_158
| ~ spl42_166 ),
inference(sat_conversion,[],[f2896]) ).
cnf(s446,plain,
( ~ spl42_37
| ~ spl42_38 ),
inference(sat_conversion,[],[f2900]) ).
cnf(s447,plain,
( ~ spl42_37
| ~ spl42_39 ),
inference(sat_conversion,[],[f2904]) ).
cnf(s448,plain,
( ~ spl42_37
| ~ spl42_40 ),
inference(sat_conversion,[],[f2909]) ).
cnf(s450,plain,
( ~ spl42_22
| ~ spl42_23 ),
inference(sat_conversion,[],[f2924]) ).
cnf(s451,plain,
( ~ spl42_42
| ~ spl42_44 ),
inference(sat_conversion,[],[f2926]) ).
cnf(s453,plain,
( ~ spl42_46
| ~ spl42_47 ),
inference(sat_conversion,[],[f2937]) ).
cnf(s455,plain,
( ~ spl42_33
| ~ spl42_35 ),
inference(sat_conversion,[],[f2955]) ).
cnf(s457,plain,
( ~ spl42_9
| ~ spl42_12 ),
inference(sat_conversion,[],[f2980]) ).
cnf(s458,plain,
( ~ spl42_10
| ~ spl42_12 ),
inference(sat_conversion,[],[f2990]) ).
cnf(s459,plain,
( ~ spl42_38
| ~ spl42_40 ),
inference(sat_conversion,[],[f2992]) ).
cnf(s460,plain,
( ~ spl42_30
| ~ spl42_31 ),
inference(sat_conversion,[],[f3002]) ).
cnf(s461,plain,
( ~ spl42_43
| ~ spl42_44 ),
inference(sat_conversion,[],[f3008]) ).
cnf(s463,plain,
( ~ spl42_13
| ~ spl42_16 ),
inference(sat_conversion,[],[f3018]) ).
cnf(s466,plain,
( ~ spl42_35
| ~ spl42_36 ),
inference(sat_conversion,[],[f3039]) ).
cnf(s467,plain,
( ~ spl42_35
| ~ spl42_36 ),
inference(sat_conversion,[],[f3041]) ).
cnf(s469,plain,
( ~ spl42_170
| ~ spl42_174 ),
inference(sat_conversion,[],[f3069]) ).
cnf(s470,plain,
( ~ spl42_14
| ~ spl42_16 ),
inference(sat_conversion,[],[f3073]) ).
cnf(s473,plain,
( ~ spl42_29
| ~ spl42_30 ),
inference(sat_conversion,[],[f3087]) ).
cnf(s475,plain,
( ~ spl42_31
| ~ spl42_32 ),
inference(sat_conversion,[],[f3098]) ).
cnf(s476,plain,
( ~ spl42_30
| ~ spl42_32 ),
inference(sat_conversion,[],[f3104]) ).
cnf(s478,plain,
( ~ spl42_1
| ~ spl42_3 ),
inference(sat_conversion,[],[f3112]) ).
cnf(s482,plain,
( ~ spl42_19
| ~ spl42_20 ),
inference(sat_conversion,[],[f3146]) ).
cnf(s483,plain,
( ~ spl42_17
| ~ spl42_19 ),
inference(sat_conversion,[],[f3157]) ).
cnf(s484,plain,
( ~ spl42_13
| ~ spl42_14 ),
inference(sat_conversion,[],[f3164]) ).
cnf(s486,plain,
( ~ spl42_39
| ~ spl42_40 ),
inference(sat_conversion,[],[f3179]) ).
cnf(s488,plain,
( ~ spl42_162
| ~ spl42_166 ),
inference(sat_conversion,[],[f3188]) ).
cnf(s489,plain,
( ~ spl42_6
| ~ spl42_8 ),
inference(sat_conversion,[],[f3199]) ).
cnf(s491,plain,
( ~ spl42_3
| ~ spl42_4 ),
inference(sat_conversion,[],[f3206]) ).
cnf(s493,plain,
( ~ spl42_41
| ~ spl42_43 ),
inference(sat_conversion,[],[f3220]) ).
cnf(s494,plain,
( ~ spl42_32
| spl42_35
| ~ spl42_215 ),
inference(sat_conversion,[],[f3244]) ).
cnf(s495,plain,
( ~ spl42_42
| ~ spl42_43 ),
inference(sat_conversion,[],[f3250]) ).
cnf(s497,plain,
( ~ spl42_24
| ~ spl42_221 ),
inference(sat_conversion,[],[f3260]) ).
cnf(s499,plain,
( ~ spl42_1
| ~ spl42_214 ),
inference(sat_conversion,[],[f3275]) ).
cnf(s504,plain,
( ~ spl42_194
| ~ spl42_202 ),
inference(sat_conversion,[],[f3316]) ).
cnf(s509,plain,
( ~ spl42_46
| ~ spl42_48 ),
inference(sat_conversion,[],[f3342]) ).
cnf(s512,plain,
( ~ spl42_1
| ~ spl42_4 ),
inference(sat_conversion,[],[f3372]) ).
cnf(s514,plain,
( ~ spl42_47
| ~ spl42_48 ),
inference(sat_conversion,[],[f3388]) ).
cnf(s516,plain,
( ~ spl42_26
| ~ spl42_28 ),
inference(sat_conversion,[],[f3403]) ).
cnf(s517,plain,
( ~ spl42_26
| ~ spl42_28 ),
inference(sat_conversion,[],[f3405]) ).
cnf(s519,plain,
( ~ spl42_45
| ~ spl42_47 ),
inference(sat_conversion,[],[f3416]) ).
cnf(s521,plain,
( ~ spl42_63
| ~ spl42_64 ),
inference(sat_conversion,[],[f3425]) ).
cnf(s522,plain,
( ~ spl42_74
| ~ spl42_76 ),
inference(sat_conversion,[],[f3439]) ).
cnf(s523,plain,
( ~ spl42_74
| ~ spl42_76 ),
inference(sat_conversion,[],[f3441]) ).
cnf(s525,plain,
( ~ spl42_80
| ~ spl42_81
| ~ spl42_145 ),
inference(sat_conversion,[],[f3450]) ).
cnf(s527,plain,
( ~ spl42_90
| ~ spl42_91 ),
inference(sat_conversion,[],[f3470]) ).
cnf(s529,plain,
( ~ spl42_90
| ~ spl42_92 ),
inference(sat_conversion,[],[f3477]) ).
cnf(s531,plain,
( ~ spl42_97
| ~ spl42_99 ),
inference(sat_conversion,[],[f3485]) ).
cnf(s532,plain,
( ~ spl42_99
| ~ spl42_100 ),
inference(sat_conversion,[],[f3491]) ).
cnf(s536,plain,
( ~ spl42_89
| ~ spl42_90 ),
inference(sat_conversion,[],[f3505]) ).
cnf(s537,plain,
( ~ spl42_121
| ~ spl42_123 ),
inference(sat_conversion,[],[f3511]) ).
cnf(s540,plain,
( ~ spl42_106
| ~ spl42_107 ),
inference(sat_conversion,[],[f3521]) ).
cnf(s544,plain,
( ~ spl42_80
| spl42_90
| ~ spl42_141 ),
inference(sat_conversion,[],[f3553]) ).
cnf(s546,plain,
( ~ spl42_85
| ~ spl42_87 ),
inference(sat_conversion,[],[f3567]) ).
cnf(s547,plain,
( ~ spl42_109
| ~ spl42_110 ),
inference(sat_conversion,[],[f3569]) ).
cnf(s548,plain,
( ~ spl42_82
| spl42_145 ),
inference(sat_conversion,[],[f3574]) ).
cnf(s550,plain,
( ~ spl42_102
| ~ spl42_103 ),
inference(sat_conversion,[],[f3599]) ).
cnf(s553,plain,
( ~ spl42_82
| ~ spl42_83 ),
inference(sat_conversion,[],[f3620]) ).
cnf(s554,plain,
( ~ spl42_79
| ~ spl42_80 ),
inference(sat_conversion,[],[f3624]) ).
cnf(s555,plain,
( ~ spl42_91
| ~ spl42_92 ),
inference(sat_conversion,[],[f3628]) ).
cnf(s556,plain,
( ~ spl42_89
| ~ spl42_92 ),
inference(sat_conversion,[],[f3632]) ).
cnf(s557,plain,
( ~ spl42_86
| ~ spl42_87 ),
inference(sat_conversion,[],[f3645]) ).
cnf(s559,plain,
( ~ spl42_81
| ~ spl42_83 ),
inference(sat_conversion,[],[f3655]) ).
cnf(s560,plain,
( ~ spl42_85
| ~ spl42_86 ),
inference(sat_conversion,[],[f3665]) ).
cnf(s565,plain,
( ~ spl42_107
| ~ spl42_108 ),
inference(sat_conversion,[],[f3716]) ).
cnf(s566,plain,
( ~ spl42_107
| ~ spl42_108 ),
inference(sat_conversion,[],[f3718]) ).
cnf(s573,plain,
( ~ spl42_109
| spl42_112
| ~ spl42_143 ),
inference(sat_conversion,[],[f3754]) ).
cnf(s579,plain,
( ~ spl42_65
| ~ spl42_66 ),
inference(sat_conversion,[],[f3777]) ).
cnf(s581,plain,
( ~ spl42_114
| ~ spl42_115 ),
inference(sat_conversion,[],[f3793]) ).
cnf(s585,plain,
( ~ spl42_99
| spl42_103
| ~ spl42_146 ),
inference(sat_conversion,[],[f3810]) ).
cnf(s586,plain,
( ~ spl42_114
| ~ spl42_116 ),
inference(sat_conversion,[],[f3820]) ).
cnf(s588,plain,
( ~ spl42_119
| ~ spl42_120 ),
inference(sat_conversion,[],[f3832]) ).
cnf(s590,plain,
( spl42_116
| ~ spl42_122
| ~ spl42_155 ),
inference(sat_conversion,[],[f3842]) ).
cnf(s591,plain,
( ~ spl42_120
| spl42_124
| ~ spl42_151 ),
inference(sat_conversion,[],[f3844]) ).
cnf(s592,plain,
( ~ spl42_94
| spl42_99
| ~ spl42_142 ),
inference(sat_conversion,[],[f3853]) ).
cnf(s593,plain,
( ~ spl42_117
| ~ spl42_120 ),
inference(sat_conversion,[],[f3856]) ).
cnf(s598,plain,
( ~ spl42_97
| ~ spl42_98 ),
inference(sat_conversion,[],[f3928]) ).
cnf(s599,plain,
( ~ spl42_106
| ~ spl42_108 ),
inference(sat_conversion,[],[f3932]) ).
cnf(s601,plain,
( ~ spl42_113
| ~ spl42_114 ),
inference(sat_conversion,[],[f3949]) ).
cnf(s606,plain,
( ~ spl42_61
| ~ spl42_63 ),
inference(sat_conversion,[],[f3990]) ).
cnf(s607,plain,
( ~ spl42_114
| spl42_116
| ~ spl42_147 ),
inference(sat_conversion,[],[f3992]) ).
cnf(s613,plain,
( ~ spl42_83
| spl42_86
| ~ spl42_145 ),
inference(sat_conversion,[],[f4028]) ).
cnf(s614,plain,
( spl42_6
| ~ spl42_166 ),
inference(sat_conversion,[],[f4087]) ).
cnf(s615,plain,
spl42_166,
inference(sat_conversion,[],[f4092]) ).
cnf(s619,plain,
( spl42_9
| ~ spl42_12
| ~ spl42_220 ),
inference(sat_conversion,[],[f4111]) ).
cnf(s629,plain,
( ~ spl42_7
| ~ spl42_166 ),
inference(sat_conversion,[],[f4131]) ).
cnf(s633,plain,
( ~ spl42_35
| spl42_190
| ~ spl42_222 ),
inference(sat_conversion,[],[f4165]) ).
cnf(s636,plain,
( ~ spl42_22
| spl42_174
| ~ spl42_221 ),
inference(sat_conversion,[],[f4175]) ).
cnf(s641,plain,
~ spl42_157,
inference(sat_conversion,[],[f4216]) ).
cnf(s643,plain,
( ~ spl42_26
| ~ spl42_32
| ~ spl42_212 ),
inference(sat_conversion,[],[f4222]) ).
cnf(s644,plain,
( ~ spl42_13
| spl42_14
| ~ spl42_211 ),
inference(sat_conversion,[],[f4226]) ).
cnf(s645,plain,
( ~ spl42_40
| spl42_207
| ~ spl42_213 ),
inference(sat_conversion,[],[f4232]) ).
cnf(s648,plain,
( ~ spl42_194
| ~ spl42_207 ),
inference(sat_conversion,[],[f4238]) ).
cnf(s650,plain,
( ~ spl42_30
| spl42_31
| ~ spl42_215 ),
inference(sat_conversion,[],[f4248]) ).
cnf(s651,plain,
( ~ spl42_44
| spl42_207
| ~ spl42_216 ),
inference(sat_conversion,[],[f4287]) ).
cnf(s661,plain,
( spl42_40
| ~ spl42_194
| ~ spl42_223 ),
inference(sat_conversion,[],[f4450]) ).
cnf(s663,plain,
( ~ spl42_28
| spl42_35
| ~ spl42_212 ),
inference(sat_conversion,[],[f4466]) ).
cnf(s666,plain,
( ~ spl42_11
| ~ spl42_12 ),
inference(sat_conversion,[],[f4474]) ).
cnf(s668,plain,
( spl42_35
| ~ spl42_36
| ~ spl42_222 ),
inference(sat_conversion,[],[f4478]) ).
cnf(s673,plain,
( ~ spl42_174
| ~ spl42_178 ),
inference(sat_conversion,[],[f4523]) ).
cnf(s675,plain,
( ~ spl42_22
| ~ spl42_178
| ~ spl42_221 ),
inference(sat_conversion,[],[f4527]) ).
cnf(s676,plain,
( ~ spl42_103
| ~ spl42_178
| ~ spl42_190
| spl42_229 ),
inference(sat_conversion,[],[f4562]) ).
cnf(s682,plain,
( spl42_48
| ~ spl42_202
| ~ spl42_223 ),
inference(sat_conversion,[],[f4610]) ).
cnf(s686,plain,
( ~ spl42_45
| ~ spl42_48 ),
inference(sat_conversion,[],[f4655]) ).
cnf(s687,plain,
( ~ spl42_45
| ~ spl42_48 ),
inference(sat_conversion,[],[f4657]) ).
cnf(s689,plain,
( ~ spl42_42
| ~ spl42_174 ),
inference(sat_conversion,[],[f4661]) ).
cnf(s694,plain,
( ~ spl42_13
| ~ spl42_17 ),
inference(sat_conversion,[],[f4690]) ).
cnf(s695,plain,
( ~ spl42_6
| ~ spl42_18 ),
inference(sat_conversion,[],[f4692]) ).
cnf(s701,plain,
( ~ spl42_40
| ~ spl42_207 ),
inference(sat_conversion,[],[f4707]) ).
cnf(s703,plain,
( spl42_18
| ~ spl42_23
| ~ spl42_221 ),
inference(sat_conversion,[],[f4732]) ).
cnf(s704,plain,
( ~ spl42_174
| ~ spl42_205 ),
inference(sat_conversion,[],[f4736]) ).
cnf(s706,plain,
( spl42_18
| ~ spl42_19
| ~ spl42_218 ),
inference(sat_conversion,[],[f4747]) ).
cnf(s707,plain,
( spl42_44
| ~ spl42_198
| ~ spl42_223 ),
inference(sat_conversion,[],[f4752]) ).
cnf(s708,plain,
( ~ spl42_22
| ~ spl42_198 ),
inference(sat_conversion,[],[f4761]) ).
cnf(s711,plain,
( spl42_27
| ~ spl42_33
| ~ spl42_222 ),
inference(sat_conversion,[],[f4780]) ).
cnf(s712,plain,
( ~ spl42_26
| spl42_31
| ~ spl42_212 ),
inference(sat_conversion,[],[f4792]) ).
cnf(s724,plain,
( ~ spl42_190
| ~ spl42_206 ),
inference(sat_conversion,[],[f4879]) ).
cnf(s725,plain,
( ~ spl42_27
| ~ spl42_166 ),
inference(sat_conversion,[],[f4919]) ).
cnf(s734,plain,
( ~ spl42_41
| ~ spl42_42 ),
inference(sat_conversion,[],[f4968]) ).
cnf(s735,plain,
( ~ spl42_182
| ~ spl42_206 ),
inference(sat_conversion,[],[f4970]) ).
cnf(s739,plain,
( ~ spl42_38
| ~ spl42_42 ),
inference(sat_conversion,[],[f4988]) ).
cnf(s740,plain,
( ~ spl42_26
| ~ spl42_38 ),
inference(sat_conversion,[],[f5002]) ).
cnf(s744,plain,
( ~ spl42_1
| ~ spl42_9 ),
inference(sat_conversion,[],[f5011]) ).
cnf(s745,plain,
( ~ spl42_1
| ~ spl42_41 ),
inference(sat_conversion,[],[f5012]) ).
cnf(s747,plain,
( ~ spl42_42
| ~ spl42_198 ),
inference(sat_conversion,[],[f5018]) ).
cnf(s765,plain,
( ~ spl42_42
| spl42_44
| ~ spl42_216 ),
inference(sat_conversion,[],[f5205]) ).
cnf(s775,plain,
( ~ spl42_166
| ~ spl42_204 ),
inference(sat_conversion,[],[f5283]) ).
cnf(s777,plain,
( spl42_1
| ~ spl42_6
| ~ spl42_217 ),
inference(sat_conversion,[],[f5317]) ).
cnf(s779,plain,
( ~ spl42_202
| ~ spl42_207 ),
inference(sat_conversion,[],[f5321]) ).
cnf(s782,plain,
( ~ spl42_9
| ~ spl42_220 ),
inference(sat_conversion,[],[f5341]) ).
cnf(s786,plain,
( ~ spl42_48
| ~ spl42_206 ),
inference(sat_conversion,[],[f5353]) ).
cnf(s787,plain,
( ~ spl42_48
| ~ spl42_207 ),
inference(sat_conversion,[],[f5354]) ).
cnf(s791,plain,
( ~ spl42_22
| ~ spl42_174 ),
inference(sat_conversion,[],[f5377]) ).
cnf(s797,plain,
( ~ spl42_83
| ~ spl42_223
| spl42_260 ),
inference(sat_conversion,[],[f5462]) ).
cnf(s809,plain,
( spl42_27
| ~ spl42_182
| ~ spl42_189 ),
inference(sat_conversion,[],[f5660]) ).
cnf(s810,plain,
( ~ spl42_63
| spl42_70 ),
inference(sat_conversion,[],[f5700]) ).
cnf(s811,plain,
( ~ spl42_63
| ~ spl42_67 ),
inference(sat_conversion,[],[f5705]) ).
cnf(s812,plain,
( ~ spl42_101
| ~ spl42_103 ),
inference(sat_conversion,[],[f5707]) ).
cnf(s827,plain,
( ~ spl42_70
| ~ spl42_118 ),
inference(sat_conversion,[],[f5756]) ).
cnf(s832,plain,
( ~ spl42_109
| ~ spl42_117 ),
inference(sat_conversion,[],[f5787]) ).
cnf(s834,plain,
( ~ spl42_103
| ~ spl42_107 ),
inference(sat_conversion,[],[f5795]) ).
cnf(s836,plain,
( ~ spl42_63
| ~ spl42_75 ),
inference(sat_conversion,[],[f5807]) ).
cnf(s837,plain,
( ~ spl42_65
| ~ spl42_70
| spl42_148 ),
inference(sat_conversion,[],[f5815]) ).
cnf(s839,plain,
( ~ spl42_124
| spl42_155 ),
inference(sat_conversion,[],[f5817]) ).
cnf(s840,plain,
( ~ spl42_48
| ~ spl42_219
| ~ spl42_223
| spl42_276 ),
inference(sat_conversion,[],[f5825]) ).
cnf(s845,plain,
( ~ spl42_73
| ~ spl42_105 ),
inference(sat_conversion,[],[f5850]) ).
cnf(s847,plain,
( ~ spl42_101
| ~ spl42_104 ),
inference(sat_conversion,[],[f5892]) ).
cnf(s848,plain,
( ~ spl42_123
| ~ spl42_124 ),
inference(sat_conversion,[],[f5894]) ).
cnf(s854,plain,
( ~ spl42_68
| ~ spl42_116 ),
inference(sat_conversion,[],[f5946]) ).
cnf(s856,plain,
( ~ spl42_73
| ~ spl42_89 ),
inference(sat_conversion,[],[f5974]) ).
cnf(s857,plain,
( ~ spl42_80
| ~ spl42_88 ),
inference(sat_conversion,[],[f5979]) ).
cnf(s867,plain,
( ~ spl42_1
| ~ spl42_170 ),
inference(sat_conversion,[],[f6055]) ).
cnf(s869,plain,
( ~ spl42_12
| ~ spl42_36 ),
inference(sat_conversion,[],[f6059]) ).
cnf(s870,plain,
( ~ spl42_17
| ~ spl42_170 ),
inference(sat_conversion,[],[f6061]) ).
cnf(s871,plain,
( ~ spl42_17
| ~ spl42_182 ),
inference(sat_conversion,[],[f6062]) ).
cnf(s872,plain,
( ~ spl42_20
| ~ spl42_48 ),
inference(sat_conversion,[],[f6065]) ).
cnf(s873,plain,
( ~ spl42_20
| ~ spl42_206 ),
inference(sat_conversion,[],[f6067]) ).
cnf(s874,plain,
( ~ spl42_28
| ~ spl42_206 ),
inference(sat_conversion,[],[f6070]) ).
cnf(s877,plain,
( ~ spl42_28
| ~ spl42_36 ),
inference(sat_conversion,[],[f6073]) ).
cnf(s886,plain,
( ~ spl42_83
| ~ spl42_91 ),
inference(sat_conversion,[],[f6081]) ).
cnf(s887,plain,
( ~ spl42_83
| ~ spl42_99 ),
inference(sat_conversion,[],[f6082]) ).
cnf(s890,plain,
( ~ spl42_85
| ~ spl42_101 ),
inference(sat_conversion,[],[f6087]) ).
cnf(s891,plain,
( ~ spl42_90
| ~ spl42_122 ),
inference(sat_conversion,[],[f6091]) ).
cnf(s906,plain,
( ~ spl42_120
| ~ spl42_124 ),
inference(sat_conversion,[],[f6110]) ).
cnf(s918,plain,
( ~ spl42_6
| ~ spl42_186 ),
inference(sat_conversion,[],[f6160]) ).
cnf(s947,plain,
( ~ spl42_30
| ~ spl42_42 ),
inference(sat_conversion,[],[f6328]) ).
cnf(s948,plain,
( ~ spl42_30
| ~ spl42_34 ),
inference(sat_conversion,[],[f6329]) ).
cnf(s950,plain,
( ~ spl42_35
| ~ spl42_190 ),
inference(sat_conversion,[],[f6332]) ).
cnf(s951,plain,
( ~ spl42_35
| ~ spl42_202 ),
inference(sat_conversion,[],[f6333]) ).
cnf(s954,plain,
( ~ spl42_47
| ~ spl42_190 ),
inference(sat_conversion,[],[f6335]) ).
cnf(s955,plain,
( ~ spl42_47
| ~ spl42_202 ),
inference(sat_conversion,[],[f6336]) ).
cnf(s960,plain,
( ~ spl42_14
| ~ spl42_21
| spl42_221 ),
inference(sat_conversion,[],[f6414]) ).
cnf(s970,plain,
( ~ spl42_14
| spl42_174
| ~ spl42_211 ),
inference(sat_conversion,[],[f6660]) ).
cnf(s973,plain,
( spl42_18
| ~ spl42_173
| ~ spl42_178 ),
inference(sat_conversion,[],[f6681]) ).
cnf(s976,plain,
( ~ spl42_4
| ~ spl42_32 ),
inference(sat_conversion,[],[f6686]) ).
cnf(s977,plain,
( ~ spl42_4
| ~ spl42_44 ),
inference(sat_conversion,[],[f6687]) ).
cnf(s978,plain,
( ~ spl42_9
| ~ spl42_21 ),
inference(sat_conversion,[],[f6688]) ).
cnf(s986,plain,
( ~ spl42_37
| spl42_40
| ~ spl42_213 ),
inference(sat_conversion,[],[f6771]) ).
cnf(s987,plain,
( spl42_31
| ~ spl42_34
| ~ spl42_222 ),
inference(sat_conversion,[],[f6774]) ).
cnf(s988,plain,
( ~ spl42_17
| spl42_169
| ~ spl42_178 ),
inference(sat_conversion,[],[f6791]) ).
cnf(s993,plain,
( ~ spl42_1
| ~ spl42_29 ),
inference(sat_conversion,[],[f6811]) ).
cnf(s996,plain,
( ~ spl42_12
| ~ spl42_24 ),
inference(sat_conversion,[],[f6814]) ).
cnf(s999,plain,
( ~ spl42_19
| ~ spl42_190 ),
inference(sat_conversion,[],[f6818]) ).
cnf(s1000,plain,
( ~ spl42_19
| ~ spl42_23 ),
inference(sat_conversion,[],[f6819]) ).
cnf(s1001,plain,
( ~ spl42_19
| ~ spl42_178 ),
inference(sat_conversion,[],[f6820]) ).
cnf(s1002,plain,
( ~ spl42_31
| ~ spl42_190 ),
inference(sat_conversion,[],[f6824]) ).
cnf(s1003,plain,
( ~ spl42_31
| ~ spl42_178 ),
inference(sat_conversion,[],[f6825]) ).
cnf(s1007,plain,
( ~ spl42_25
| spl42_27
| ~ spl42_212 ),
inference(sat_conversion,[],[f6904]) ).
cnf(s1013,plain,
( ~ spl42_4
| ~ spl42_205 ),
inference(sat_conversion,[],[f6956]) ).
cnf(s1019,plain,
( ~ spl42_16
| spl42_22
| ~ spl42_211 ),
inference(sat_conversion,[],[f6962]) ).
cnf(s1020,plain,
( ~ spl42_16
| ~ spl42_20 ),
inference(sat_conversion,[],[f6963]) ).
cnf(s1022,plain,
( ~ spl42_16
| ~ spl42_28 ),
inference(sat_conversion,[],[f6965]) ).
cnf(s1023,plain,
( ~ spl42_16
| ~ spl42_40 ),
inference(sat_conversion,[],[f6966]) ).
cnf(s1024,plain,
( ~ spl42_16
| ~ spl42_205 ),
inference(sat_conversion,[],[f6967]) ).
cnf(s1026,plain,
( ~ spl42_22
| ~ spl42_34 ),
inference(sat_conversion,[],[f6969]) ).
cnf(s1031,plain,
( ~ spl42_26
| ~ spl42_30 ),
inference(sat_conversion,[],[f6972]) ).
cnf(s1034,plain,
( ~ spl42_37
| ~ spl42_45 ),
inference(sat_conversion,[],[f6976]) ).
cnf(s1037,plain,
( ~ spl42_48
| ~ spl42_202
| spl42_223 ),
inference(sat_conversion,[],[f6978]) ).
cnf(s1050,plain,
( ~ spl42_83
| ~ spl42_202
| ~ spl42_223
| ~ spl42_260
| ~ spl42_276 ),
inference(sat_conversion,[],[f7119]) ).
cnf(s1064,plain,
( ~ spl42_6
| ~ spl42_85
| ~ spl42_169
| ~ spl42_178
| spl42_226 ),
inference(sat_conversion,[],[f7205]) ).
cnf(s1071,plain,
( ~ spl42_4
| ~ spl42_169
| spl42_241 ),
inference(sat_conversion,[],[f7314]) ).
cnf(s1072,plain,
( ~ spl42_9
| ~ spl42_90
| ~ spl42_169
| spl42_227
| ~ spl42_241 ),
inference(sat_conversion,[],[f7326]) ).
cnf(s1073,plain,
( ~ spl42_48
| ~ spl42_120
| ~ spl42_178
| spl42_232
| ~ spl42_241 ),
inference(sat_conversion,[],[f7342]) ).
cnf(s1074,plain,
( ~ spl42_36
| ~ spl42_108
| ~ spl42_178
| spl42_230
| ~ spl42_241 ),
inference(sat_conversion,[],[f7352]) ).
cnf(s1075,plain,
( ~ spl42_29
| ~ spl42_94
| ~ spl42_169
| ~ spl42_178
| spl42_235 ),
inference(sat_conversion,[],[f7361]) ).
cnf(s1076,plain,
( ~ spl42_42
| ~ spl42_109
| spl42_234
| ~ spl42_241 ),
inference(sat_conversion,[],[f7369]) ).
cnf(s1077,plain,
( ~ spl42_22
| ~ spl42_73
| spl42_237
| ~ spl42_241 ),
inference(sat_conversion,[],[f7377]) ).
cnf(s1078,plain,
( ~ spl42_80
| spl42_236 ),
inference(sat_conversion,[],[f7380]) ).
cnf(s1079,plain,
( ~ spl42_17
| ~ spl42_70
| ~ spl42_169
| ~ spl42_178
| spl42_238 ),
inference(sat_conversion,[],[f7388]) ).
cnf(s1080,plain,
( ~ spl42_63
| spl42_240 ),
inference(sat_conversion,[],[f7392]) ).
cnf(s1081,plain,
( ~ spl42_16
| ~ spl42_68
| ~ spl42_169
| spl42_239
| ~ spl42_241 ),
inference(sat_conversion,[],[f7399]) ).
cnf(s1085,plain,
( ~ spl42_83
| ~ spl42_169
| ~ spl42_178
| spl42_225 ),
inference(sat_conversion,[],[f7418]) ).
cnf(s1086,plain,
( ~ spl42_37
| ~ spl42_114
| ~ spl42_169
| spl42_231
| ~ spl42_241 ),
inference(sat_conversion,[],[f7430]) ).
cnf(s1088,plain,
( ~ spl42_26
| ~ spl42_97
| ~ spl42_169
| ~ spl42_178
| spl42_228 ),
inference(sat_conversion,[],[f7453]) ).
cnf(s1094,plain,
( ~ spl42_83
| ~ spl42_123
| ~ spl42_178
| ~ spl42_202
| ~ spl42_223
| spl42_233
| ~ spl42_241
| ~ spl42_260 ),
inference(sat_conversion,[],[f7489]) ).
cnf(s1096,plain,
( ~ spl42_100
| spl42_107
| ~ spl42_146 ),
inference(sat_conversion,[],[f7544]) ).
cnf(s1101,plain,
~ spl42_204,
inference(rat,[],[s775,s615]) ).
cnf(s1102,plain,
~ spl42_27,
inference(rat,[],[s725,s615]) ).
cnf(s1103,plain,
~ spl42_7,
inference(rat,[],[s629,s615]) ).
cnf(s1104,plain,
spl42_6,
inference(rat,[],[s614,s615]) ).
cnf(s1105,plain,
~ spl42_186,
inference(rat,[],[s918,s1104]) ).
cnf(s1106,plain,
~ spl42_18,
inference(rat,[],[s695,s1104]) ).
cnf(s1107,plain,
~ spl42_8,
inference(rat,[],[s489,s1104]) ).
cnf(s1108,plain,
~ spl42_162,
inference(rat,[],[s488,s615]) ).
cnf(s1109,plain,
~ spl42_158,
inference(rat,[],[s445,s615]) ).
cnf(s1111,plain,
~ spl42_5,
inference(rat,[],[s411,s1104]) ).
cnf(s1113,plain,
( spl42_182
| spl42_190
| spl42_206 ),
inference(rat,[],[s335,s1105]) ).
cnf(s1114,plain,
spl42_236,
inference(rat,[],[s1078,s330]) ).
cnf(s1116,plain,
~ spl42_88,
inference(rat,[],[s857,s330]) ).
cnf(s1117,plain,
~ spl42_79,
inference(rat,[],[s554,s330]) ).
cnf(s1118,plain,
~ spl42_78,
inference(rat,[],[s373,s330]) ).
cnf(s1119,plain,
~ spl42_77,
inference(rat,[],[s372,s330]) ).
cnf(s1120,plain,
~ spl42_60,
inference(rat,[],[s326,s615]) ).
cnf(s1121,plain,
~ spl42_210,
inference(rat,[],[s308,s615]) ).
cnf(s1122,plain,
~ spl42_53,
inference(rat,[],[s292,s615]) ).
cnf(s1123,plain,
~ spl42_50,
inference(rat,[],[s274,s615]) ).
cnf(s1124,plain,
~ spl42_208,
inference(rat,[],[s269,s1109]) ).
cnf(s1125,plain,
( spl42_211
| spl42_212
| spl42_213 ),
inference(rat,[],[s260,s641]) ).
cnf(s1126,plain,
( spl42_49
| spl42_51
| spl42_52
| spl42_54
| spl42_55
| spl42_56
| spl42_57
| spl42_58
| spl42_59
| spl42_207
| spl42_209 ),
inference(rat,[],[s259,s1121,s1124,s1120,s1122,s1123]) ).
cnf(s1128,plain,
( spl42_49
| spl42_51
| spl42_52
| spl42_54
| spl42_55
| spl42_56
| spl42_57
| spl42_58
| spl42_59
| ~ spl42_207
| spl42_209 ),
inference(rat,[],[s257,s1121,s1124,s1120,s1122,s1123]) ).
cnf(s1129,plain,
( spl42_49
| spl42_51
| spl42_52
| spl42_54
| spl42_55
| spl42_56
| spl42_57
| spl42_58
| spl42_59
| ~ spl42_206
| spl42_209 ),
inference(rat,[],[s256,s1121,s1124,s1120,s1122,s1123]) ).
cnf(s1130,plain,
( spl42_49
| spl42_51
| spl42_52
| spl42_54
| spl42_55
| spl42_56
| spl42_57
| spl42_58
| spl42_59
| ~ spl42_205
| spl42_209 ),
inference(rat,[],[s255,s1121,s1124,s1120,s1122,s1123]) ).
cnf(s1131,plain,
( spl42_20
| spl42_48
| spl42_206 ),
inference(rat,[],[s244,s1107]) ).
cnf(s1132,plain,
( spl42_31
| spl42_35
| spl42_190 ),
inference(rat,[],[s243,s1102]) ).
cnf(s1133,plain,
( spl42_19
| spl42_47
| spl42_190 ),
inference(rat,[],[s242,s1103]) ).
cnf(s1134,plain,
( spl42_26
| spl42_30
| spl42_34 ),
inference(rat,[],[s241,s1105]) ).
cnf(s1135,plain,
( spl42_17
| spl42_45
| spl42_182 ),
inference(rat,[],[s238,s1111]) ).
cnf(s1136,plain,
( spl42_14
| spl42_22
| spl42_174 ),
inference(rat,[],[s233,s1106]) ).
cnf(s1137,plain,
( spl42_4
| spl42_12 ),
inference(rat,[],[s229,s1101,s1107]) ).
cnf(s1138,plain,
( spl42_16
| spl42_28
| spl42_40 ),
inference(rat,[],[s228,s1101]) ).
cnf(s1139,plain,
( spl42_14
| spl42_26
| spl42_38 ),
inference(rat,[],[s224,s1108]) ).
cnf(s1140,plain,
( spl42_1
| spl42_9 ),
inference(rat,[],[s223,s1109,s1111]) ).
cnf(s1141,plain,
( spl42_13
| spl42_25
| spl42_37 ),
inference(rat,[],[s222,s1109]) ).
cnf(s1143,plain,
spl42_240,
inference(rat,[],[s1080,s185]) ).
cnf(s1146,plain,
~ spl42_75,
inference(rat,[],[s836,s185]) ).
cnf(s1147,plain,
~ spl42_67,
inference(rat,[],[s811,s185]) ).
cnf(s1148,plain,
spl42_70,
inference(rat,[],[s810,s185]) ).
cnf(s1149,plain,
~ spl42_61,
inference(rat,[],[s606,s185]) ).
cnf(s1150,plain,
~ spl42_64,
inference(rat,[],[s521,s185]) ).
cnf(s1151,plain,
~ spl42_62,
inference(rat,[],[s366,s185]) ).
cnf(s1152,plain,
~ spl42_118,
inference(rat,[],[s827,s1148]) ).
cnf(s1153,plain,
~ spl42_69,
inference(rat,[],[s395,s1148]) ).
cnf(s1154,plain,
~ spl42_72,
inference(rat,[],[s384,s1148]) ).
cnf(s1155,plain,
~ spl42_71,
inference(rat,[],[s370,s1148]) ).
cnf(s1156,plain,
~ spl42_139,
inference(rat,[],[s179,s185]) ).
cnf(s1157,plain,
~ spl42_135,
inference(rat,[],[s155,s185]) ).
cnf(s1158,plain,
~ spl42_133,
inference(rat,[],[s147,s1155]) ).
cnf(s1159,plain,
~ spl42_131,
inference(rat,[],[s131,s185]) ).
cnf(s1160,plain,
~ spl42_129,
inference(rat,[],[s124,s1118]) ).
cnf(s1161,plain,
~ spl42_127,
inference(rat,[],[s112,s1153]) ).
cnf(s1162,plain,
~ spl42_126,
inference(rat,[],[s105,s1119]) ).
cnf(s1163,plain,
~ spl42_125,
inference(rat,[],[s100,s1149]) ).
cnf(s1164,plain,
( spl42_141
| spl42_142
| spl42_143 ),
inference(rat,[],[s91,s350]) ).
cnf(s1165,plain,
( spl42_124
| spl42_128
| spl42_130
| spl42_132
| spl42_134
| spl42_136
| spl42_137
| spl42_138 ),
inference(rat,[],[s90,s1156,s1157,s1158,s1159,s1160,s1161,s1162,s1163]) ).
cnf(s1166,plain,
( spl42_124
| spl42_128
| spl42_130
| spl42_132
| spl42_134
| spl42_136
| spl42_137
| spl42_138 ),
inference(rat,[],[s89,s1156,s1157,s1158,s1159,s1160,s1161,s1162,s1163]) ).
cnf(s1167,plain,
( ~ spl42_124
| spl42_128
| spl42_130
| spl42_132
| spl42_134
| spl42_136
| spl42_137
| spl42_138 ),
inference(rat,[],[s88,s1156,s1157,s1158,s1159,s1160,s1161,s1162,s1163]) ).
cnf(s1170,plain,
( spl42_91
| spl42_107
| spl42_123 ),
inference(rat,[],[s81,s1146]) ).
cnf(s1171,plain,
( spl42_110
| spl42_114
| spl42_122 ),
inference(rat,[],[s80,s1152]) ).
cnf(s1172,plain,
( spl42_104
| spl42_120 ),
inference(rat,[],[s75,s1116,s1154]) ).
cnf(s1173,plain,
( spl42_87
| spl42_103
| spl42_119 ),
inference(rat,[],[s73,s1155]) ).
cnf(s1174,plain,
( spl42_85
| spl42_101
| spl42_117 ),
inference(rat,[],[s69,s1153]) ).
cnf(s1175,plain,
( spl42_83
| spl42_87
| spl42_91 ),
inference(rat,[],[s66,s1117]) ).
cnf(s1176,plain,
( spl42_83
| spl42_99
| spl42_115 ),
inference(rat,[],[s65,s1147]) ).
cnf(s1177,plain,
( spl42_82
| spl42_86
| spl42_90 ),
inference(rat,[],[s64,s1118]) ).
cnf(s1178,plain,
( spl42_81
| spl42_85
| spl42_89 ),
inference(rat,[],[s62,s1119]) ).
cnf(s1179,plain,
( spl42_68
| spl42_76 ),
inference(rat,[],[s60,s1154,s1150]) ).
cnf(s1180,plain,
( spl42_94
| spl42_110 ),
inference(rat,[],[s55,s1118,s1151]) ).
cnf(s1181,plain,
( spl42_65
| spl42_73 ),
inference(rat,[],[s54,s1153,s1149]) ).
cnf(s1182,plain,
( spl42_93
| spl42_109 ),
inference(rat,[],[s53,s1119,s1149]) ).
cnf(s1187,plain,
~ spl42_55,
inference(rat,[],[s26,s1102]) ).
cnf(s1189,plain,
( spl42_17
| spl42_19
| spl42_20 ),
inference(rat,[],[s5,s1106]) ).
cnf(s1190,plain,
( ~ spl42_83
| ~ spl42_276
| ~ spl42_223
| ~ spl42_202 ),
inference(rat,[],[s797,s1050]) ).
cnf(s1191,plain,
( spl42_93
| spl42_141
| spl42_101
| spl42_105 ),
inference(rat,[],[s1164,s592,s573,s1180,s400,s547,s531,s1182,s70]) ).
cnf(s1192,plain,
( ~ spl42_106
| spl42_128
| spl42_130
| spl42_132
| spl42_92
| spl42_134
| spl42_76 ),
inference(rat,[],[s1167,s166,s83,s540,s599,s171,s178,s854,s1179]) ).
cnf(s1193,plain,
( ~ spl42_85
| ~ spl42_73
| spl42_83 ),
inference(rat,[],[s565,s166,s83,s1165,s839,s590,s79,s1192,s117,s547,s1180,s361,s1191,s126,s1177,s142,s544,s527,s555,s1175,s153,s546,s560,s890,s845,s362,s171,s178,s854,s1179,s356,s330]) ).
cnf(s1194,plain,
( spl42_128
| spl42_92
| spl42_134
| spl42_90
| spl42_130
| spl42_76
| spl42_74 ),
inference(rat,[],[s565,s166,s83,s1165,s839,s590,s79,s1192,s171,s178,s854,s1179,s142]) ).
cnf(s1195,plain,
( spl42_90
| ~ spl42_73
| spl42_83 ),
inference(rat,[],[s1173,s812,s588,s1174,s84,s400,s832,s116,s117,s1194,s555,s1175,s153,s557,s1177,s362,s854,s1179,s356,s130,s548,s525,s1178,s1193,s856,s330]) ).
cnf(s1196,plain,
( ~ spl42_124
| spl42_109
| spl42_91
| spl42_130
| spl42_138
| spl42_137 ),
inference(rat,[],[s72,s391,s151,s154,s540,s1167,s1170,s140,s164,s848,s117,s361,s1182]) ).
cnf(s1197,plain,
( spl42_109
| spl42_149
| spl42_91
| spl42_130
| spl42_85
| spl42_148
| spl42_116
| spl42_137 ),
inference(rat,[],[s393,s93,s1174,s591,s593,s84,s1196,s394,s1180,s361,s367,s1182,s178]) ).
cnf(s1198,plain,
( spl42_149
| spl42_137
| spl42_91
| spl42_130
| spl42_85
| spl42_148
| spl42_116 ),
inference(rat,[],[s93,s591,s906,s393,s1172,s380,s847,s1180,s1174,s547,s832,s1197]) ).
cnf(s1199,plain,
( ~ spl42_73
| spl42_83 ),
inference(rat,[],[s1198,s382,s557,s1175,s527,s1195,s130,s548,s525,s1178,s1193,s360,s854,s1179,s171,s356,s856,s330,s1148]) ).
cnf(s1200,plain,
( ~ spl42_124
| spl42_134
| spl42_137
| spl42_130
| ~ spl42_91
| spl42_128 ),
inference(rat,[],[s1167,s164,s177,s555,s142,s527]) ).
cnf(s1202,plain,
( ~ spl42_134
| spl42_90 ),
inference(rat,[],[s1177,s557,s150,s153]) ).
cnf(s1203,plain,
~ spl42_112,
inference(rat,[],[s361,s1180,s1182,s394,s400]) ).
cnf(s1204,plain,
~ spl42_137,
inference(rat,[],[s172,s1203]) ).
cnf(s1205,plain,
~ spl42_136,
inference(rat,[],[s1172,s588,s163,s165]) ).
cnf(s1206,plain,
( spl42_130
| ~ spl42_91
| spl42_128 ),
inference(rat,[],[s1166,s1200,s177,s555,s142,s1202,s527,s1205,s1204]) ).
cnf(s1207,plain,
~ spl42_130,
inference(rat,[],[s126,s130]) ).
cnf(s1208,plain,
( ~ spl42_124
| spl42_83 ),
inference(rat,[],[s79,s529,s176,s177,s1196,s832,s1174,s540,s847,s1170,s1172,s848,s906,s523,s1179,s360,s837,s1181,s546,s1175,s1206,s118,s1199,s1207,s1204,s1148]) ).
cnf(s1209,plain,
( ~ spl42_82
| spl42_83 ),
inference(rat,[],[s536,s142,s1178,s1166,s525,s150,s174,s548,s546,s1175,s1206,s118,s1199,s1208,s1205,s1207,s1204,s330]) ).
cnf(s1210,plain,
( ~ spl42_132
| spl42_83 ),
inference(rat,[],[s532,s1176,s67,s581,s586,s138,s141,s360,s837,s1181,s1199,s1148]) ).
cnf(s1211,plain,
spl42_83,
inference(rat,[],[s812,s585,s1174,s92,s593,s607,s84,s586,s63,s391,s154,s1166,s1210,s525,s177,s1178,s529,s536,s1177,s1209,s1208,s546,s557,s1175,s1206,s378,s579,s1181,s118,s1199,s1203,s1205,s1207,s1204,s330,s185]) ).
cnf(s1213,plain,
~ spl42_99,
inference(rat,[],[s887,s1211]) ).
cnf(s1214,plain,
~ spl42_91,
inference(rat,[],[s886,s1211]) ).
cnf(s1215,plain,
~ spl42_81,
inference(rat,[],[s559,s1211]) ).
cnf(s1216,plain,
~ spl42_82,
inference(rat,[],[s553,s1211]) ).
cnf(s1217,plain,
~ spl42_134,
inference(rat,[],[s154,s1213]) ).
cnf(s1218,plain,
~ spl42_124,
inference(rat,[],[s522,s79,s1179,s529,s854,s540,s176,s177,s178,s1170,s1167,s116,s140,s848,s1214,s1205,s1207,s1204,s1217]) ).
cnf(s1219,plain,
( spl42_43
| spl42_39
| spl42_34
| spl42_178
| spl42_17
| ~ spl42_16
| spl42_1 ),
inference(rat,[],[s840,s1190,s1037,s251,s514,s1131,s262,s735,s809,s1135,s1034,s10,s740,s1134,s460,s234,s777,s491,s1137,s457,s1140,s1023,s706,s1189,s1020,s1211,s1102,s1106,s1104]) ).
cnf(s1220,plain,
( spl42_42
| spl42_190
| spl42_174
| spl42_28
| spl42_14
| spl42_1 ),
inference(rat,[],[s1129,s316,s245,s17,s467,s446,s1132,s28,s1139,s460,s1031,s232,s23,s14,s31,s976,s34,s977,s19,s409,s1137,s457,s1140,s291,s1187]) ).
cnf(s1221,plain,
( spl42_17
| ~ spl42_16
| spl42_14
| spl42_13
| spl42_1 ),
inference(rat,[],[s1141,s447,s443,s1219,s1134,s495,s947,s1220,s1026,s1136,s999,s430,s469,s1189,s231,s978,s1140,s1022,s1020]) ).
cnf(s1222,plain,
( ~ spl42_37
| ~ spl42_230
| ~ spl42_232
| ~ spl42_237
| ~ spl42_233
| spl42_198
| ~ spl42_239
| ~ spl42_227
| ~ spl42_238
| ~ spl42_226
| ~ spl42_241
| spl42_46
| ~ spl42_169
| ~ spl42_229
| ~ spl42_178
| spl42_31
| ~ spl42_94
| ~ spl42_109
| ~ spl42_97
| ~ spl42_114
| spl42_14
| spl42_32 ),
inference(rat,[],[s1075,s339,s8,s1076,s1088,s1031,s249,s1139,s1086,s446,s202,s1085,s195,s332,s1114,s1143,s1211]) ).
cnf(s1223,plain,
( spl42_47
| ~ spl42_114
| spl42_43
| spl42_39
| ~ spl42_73
| ~ spl42_17
| ~ spl42_16
| spl42_14
| spl42_1 ),
inference(rat,[],[s23,s739,s1126,s10,s17,s1222,s1074,s1073,s1077,s1094,s797,s707,s1081,s1072,s1079,s1064,s1071,s1136,s291,s1037,s509,s988,s673,s676,s245,s1131,s234,s779,s724,s1002,s251,s29,s1133,s14,s31,s976,s491,s34,s977,s19,s409,s1137,s457,s1140,s1023,s1022,s1020,s27,s483,s78,s593,s537,s1170,s566,s72,s598,s61,s601,s837,s360,s599,s83,s529,s1177,s560,s550,s1173,s588,s84,s854,s1179,s356,s546,s1178,s856,s1187,s1211,s1148,s1104,s1215,s1203,s1218,s1216,s1214]) ).
cnf(s1224,plain,
~ spl42_209,
inference(rat,[],[s287,s291]) ).
cnf(s1225,plain,
( ~ spl42_206
| spl42_56
| spl42_1 ),
inference(rat,[],[s1129,s280,s298,s316,s14,s31,s34,s977,s19,s409,s1137,s457,s1140,s1187,s1224]) ).
cnf(s1226,plain,
( spl42_37
| spl42_194
| spl42_57
| spl42_45
| spl42_207
| spl42_56
| spl42_1 ),
inference(rat,[],[s23,s734,s1126,s247,s17,s14,s31,s34,s977,s19,s409,s1137,s457,s1140,s1187,s1224]) ).
cnf(s1227,plain,
( spl42_114
| ~ spl42_73 ),
inference(rat,[],[s117,s547,s1166,s1171,s141,s178,s854,s1179,s356,s891,s1177,s560,s1178,s856,s1217,s1205,s1207,s1204,s1218,s1216,s1215]) ).
cnf(s1228,plain,
( spl42_43
| ~ spl42_73
| ~ spl42_17
| ~ spl42_16
| spl42_14
| spl42_1 ),
inference(rat,[],[s263,s661,s675,s1226,s1136,s447,s673,s1223,s234,s782,s491,s1023,s787,s687,s668,s467,s245,s1022,s976,s1137,s457,s1140,s1002,s1113,s871,s29,s514,s1131,s1225,s27,s483,s1020,s1227]) ).
cnf(s1229,plain,
( ~ spl42_43
| spl42_31
| spl42_56
| spl42_170
| ~ spl42_16
| spl42_14
| spl42_1 ),
inference(rat,[],[s1125,s712,s1019,s1139,s791,s446,s986,s232,s17,s473,s1126,s230,s23,s493,s495,s14,s31,s34,s977,s19,s409,s1137,s457,s1140,s1023,s787,s29,s514,s1131,s1225,s1020,s1187,s1224]) ).
cnf(s1230,plain,
( ~ spl42_132
| spl42_68
| spl42_144 ),
inference(rat,[],[s1096,s92,s834,s613,s1173,s546,s560,s588,s67,s1178,s1172,s607,s586,s536,s138,s139,s141,s142,s1211,s1215]) ).
cnf(s1231,plain,
~ spl42_92,
inference(rat,[],[s560,s1177,s1178,s529,s556,s1216,s1215]) ).
cnf(s1232,plain,
~ spl42_138,
inference(rat,[],[s177,s1231]) ).
cnf(s1233,plain,
( ~ spl42_16
| spl42_43
| ~ spl42_73
| spl42_14
| spl42_13
| spl42_1 ),
inference(rat,[],[s1228,s1221]) ).
cnf(s1234,plain,
( ~ spl42_178
| ~ spl42_202
| spl42_16
| spl42_14
| ~ spl42_9 ),
inference(rat,[],[s263,s682,s668,s872,s252,s237,s435,s675,s1136,s673,s782,s1013,s1137,s457,s951,s779]) ).
cnf(s1235,plain,
( ~ spl42_19
| spl42_16
| spl42_14
| spl42_13
| ~ spl42_9 ),
inference(rat,[],[s1136,s435,s469,s237,s231,s482,s483,s978,s1013,s1137,s457]) ).
cnf(s1236,plain,
( ~ spl42_190
| spl42_16
| spl42_43
| spl42_14
| ~ spl42_9 ),
inference(rat,[],[s450,s250,s1136,s1234,s673,s234,s950,s1002,s414,s491,s1137,s457]) ).
cnf(s1237,plain,
( spl42_43
| ~ spl42_73
| spl42_14
| spl42_13
| spl42_1 ),
inference(rat,[],[s245,s467,s517,s250,s1134,s460,s450,s1026,s234,s1136,s430,s469,s231,s955,s871,s1133,s1113,s1236,s1225,s27,s1235,s1233,s978,s414,s976,s491,s1137,s457,s1140]) ).
cnf(s1238,plain,
( ~ spl42_16
| ~ spl42_43
| spl42_14
| spl42_13
| spl42_1 ),
inference(rat,[],[s1229,s432,s27,s230,s483,s870,s1221,s493]) ).
cnf(s1239,plain,
( ~ spl42_37
| spl42_16
| spl42_14 ),
inference(rat,[],[s516,s1139,s1138,s446,s448]) ).
cnf(s1240,plain,
( spl42_51
| spl42_57
| spl42_52
| spl42_56
| spl42_49
| spl42_58
| spl42_59
| spl42_54 ),
inference(rat,[],[s1128,s1126,s1224,s1187]) ).
cnf(s1241,plain,
( ~ spl42_43
| spl42_14
| spl42_13
| spl42_1 ),
inference(rat,[],[s466,s245,s30,s426,s1240,s1141,s17,s1239,s1225,s27,s1235,s1238,s23,s495,s14,s31,s976,s34,s977,s19,s409,s1137,s457,s1140]) ).
cnf(s1242,plain,
spl42_73,
inference(rat,[],[s360,s1230,s378,s837,s1165,s1181,s118,s1148,s185,s1232,s1217,s1205,s1207,s1204,s1218]) ).
cnf(s1294,plain,
( ~ spl42_37
| spl42_211
| spl42_35
| spl42_16 ),
inference(rat,[],[s1125,s663,s986,s1138,s448]) ).
cnf(s1295,plain,
( spl42_47
| spl42_19
| spl42_43
| spl42_13
| spl42_1 ),
inference(rat,[],[s645,s1138,s1125,s299,s426,s1007,s1240,s1141,s17,s1294,s970,s673,s234,s950,s1002,s1133,s29,s14,s31,s491,s34,s977,s19,s409,s1137,s457,s1140,s470,s1237,s27,s1102,s1242]) ).
cnf(s1296,plain,
( spl42_19
| spl42_43
| spl42_13
| spl42_1 ),
inference(rat,[],[s17,s1240,s1294,s30,s434,s248,s747,s24,s232,s450,s460,s235,s234,s970,s430,s469,s231,s871,s1113,s954,s1295,s1225,s27,s14,s978,s437,s31,s491,s34,s977,s19,s409,s1137,s457,s1140,s470,s420,s1237,s1242]) ).
cnf(s1297,plain,
( spl42_43
| spl42_13
| spl42_1 ),
inference(rat,[],[s645,s1138,s1125,s426,s1007,s1141,s779,s1294,s250,s434,s248,s747,s970,s232,s435,s469,s460,s237,s231,s234,s482,s483,s1000,s1001,s1296,s470,s1237,s978,s437,s414,s1013,s491,s409,s1137,s457,s1140,s1102,s1242]) ).
cnf(s1298,plain,
( spl42_47
| ~ spl42_37
| spl42_19
| spl42_13
| spl42_1 ),
inference(rat,[],[s235,s673,s417,s970,s252,s1294,s281,s950,s1240,s1133,s29,s14,s31,s34,s977,s19,s409,s1137,s457,s1140,s23,s495,s420,s27,s877,s1138,s448,s470,s1241,s1297]) ).
cnf(s1299,plain,
( ~ spl42_207
| spl42_56
| spl42_54
| spl42_1 ),
inference(rat,[],[s1240,s281,s317,s14,s31,s34,s977,s19,s409,s1137,s457,s1140]) ).
cnf(s1300,plain,
( ~ spl42_37
| spl42_19
| spl42_13
| spl42_1 ),
inference(rat,[],[s514,s253,s1298,s448,s977,s1137,s457,s1140,s1299,s27,s23,s495,s1297]) ).
cnf(s1301,plain,
( spl42_19
| spl42_13
| spl42_1 ),
inference(rat,[],[s466,s245,s30,s426,s1240,s1141,s17,s1300,s1225,s27,s14,s31,s976,s34,s977,s19,s409,s1137,s457,s1140,s23,s495,s1297]) ).
cnf(s1302,plain,
( spl42_13
| spl42_1 ),
inference(rat,[],[s263,s633,s707,s1132,s248,s460,s948,s232,s435,s497,s469,s237,s231,s482,s483,s999,s1301,s470,s1241,s495,s1297,s978,s782,s437,s1013,s977,s409,s1137,s457,s1140]) ).
cnf(s1303,plain,
( ~ spl42_207
| spl42_56
| spl42_1 ),
inference(rat,[],[s1299,s299]) ).
cnf(s1304,plain,
( spl42_19
| spl42_1 ),
inference(rat,[],[s24,s1240,s450,s30,s235,s467,s1003,s245,s712,s517,s1139,s1125,s459,s645,s253,s1303,s872,s1225,s1189,s27,s14,s31,s976,s34,s977,s19,s409,s1137,s457,s1140,s694,s444,s644,s17,s1239,s463,s484,s1302]) ).
cnf(s1305,plain,
spl42_1,
inference(rat,[],[s514,s29,s1131,s1240,s1225,s305,s1136,s24,s435,s237,s482,s1304,s17,s1239,s463,s484,s1302,s19,s34,s409,s977,s1013,s31,s1137,s457,s14,s1140]) ).
cnf(s1306,plain,
~ spl42_29,
inference(rat,[],[s993,s1305]) ).
cnf(s1308,plain,
~ spl42_170,
inference(rat,[],[s867,s1305]) ).
cnf(s1309,plain,
~ spl42_41,
inference(rat,[],[s745,s1305]) ).
cnf(s1310,plain,
~ spl42_9,
inference(rat,[],[s744,s1305]) ).
cnf(s1311,plain,
~ spl42_4,
inference(rat,[],[s512,s1305]) ).
cnf(s1312,plain,
~ spl42_214,
inference(rat,[],[s499,s1305]) ).
cnf(s1313,plain,
~ spl42_3,
inference(rat,[],[s478,s1305]) ).
cnf(s1314,plain,
~ spl42_2,
inference(rat,[],[s412,s1305]) ).
cnf(s1315,plain,
~ spl42_51,
inference(rat,[],[s18,s1310]) ).
cnf(s1316,plain,
spl42_12,
inference(rat,[],[s1137,s1311]) ).
cnf(s1317,plain,
~ spl42_52,
inference(rat,[],[s19,s1314]) ).
cnf(s1318,plain,
~ spl42_24,
inference(rat,[],[s996,s1316]) ).
cnf(s1319,plain,
~ spl42_36,
inference(rat,[],[s869,s1316]) ).
cnf(s1320,plain,
~ spl42_11,
inference(rat,[],[s666,s1316]) ).
cnf(s1321,plain,
~ spl42_10,
inference(rat,[],[s458,s1316]) ).
cnf(s1322,plain,
~ spl42_220,
inference(rat,[],[s619,s1310,s1316]) ).
cnf(s1323,plain,
~ spl42_59,
inference(rat,[],[s33,s1318]) ).
cnf(s1324,plain,
( spl42_35
| ~ spl42_16
| spl42_49
| spl42_56 ),
inference(rat,[],[s973,s261,s765,s334,s494,s451,s791,s245,s23,s24,s298,s1240,s30,s1024,s1022,s32,s1023,s1106,s1312,s1308,s1319,s1317,s1315,s1323]) ).
cnf(s1325,plain,
( ~ spl42_16
| spl42_49
| spl42_19 ),
inference(rat,[],[s1129,s298,s316,s1113,s950,s1324,s871,s1189,s32,s1020,s1023,s27,s1317,s1187,s1315,s1323,s1224]) ).
cnf(s1326,plain,
( spl42_14
| spl42_16
| spl42_13 ),
inference(rat,[],[s459,s1138,s1139,s426,s443,s1141,s1239]) ).
cnf(s1327,plain,
( ~ spl42_37
| spl42_35
| ~ spl42_14
| spl42_16
| spl42_49
| spl42_56 ),
inference(rat,[],[s23,s689,s1240,s970,s32,s1294,s448,s30,s1317,s1315,s1323]) ).
cnf(s1328,plain,
( spl42_35
| spl42_43
| spl42_16
| spl42_13
| spl42_56 ),
inference(rat,[],[s1113,s320,s1002,s873,s1240,s234,s237,s24,s673,s704,s791,s970,s1125,s645,s701,s1138,s426,s1007,s1141,s1327,s30,s13,s1326,s1317,s1315,s1323,s1313,s1318,s1102]) ).
cnf(s1329,plain,
( spl42_40
| spl42_34
| spl42_43
| spl42_16
| spl42_49
| spl42_56 ),
inference(rat,[],[s651,s261,s317,s973,s1240,s234,s11,s23,s650,s460,s947,s1134,s517,s1138,s32,s1312,s1106,s1317,s1315,s1323,s1313,s1309]) ).
cnf(s1330,plain,
( spl42_43
| spl42_13
| spl42_19 ),
inference(rat,[],[s947,s249,s1134,s440,s443,s247,s1141,s448,s459,s1329,s453,s519,s1133,s434,s950,s1328,s27,s1325,s13,s1309]) ).
cnf(s1331,plain,
( spl42_35
| spl42_13
| spl42_19 ),
inference(rat,[],[s336,s682,s707,s263,s987,s1134,s703,s476,s235,s236,s1002,s673,s704,s1133,s970,s519,s687,s1125,s645,s701,s247,s443,s1007,s32,s321,s1141,s1240,s1327,s30,s27,s420,s1326,s1325,s13,s461,s23,s495,s1330,s1322,s1106,s1311,s1309,s1102,s1317,s1315,s1323]) ).
cnf(s1332,plain,
( spl42_40
| spl42_48
| spl42_54
| spl42_44
| spl42_49
| spl42_56 ),
inference(rat,[],[s317,s1240,s253,s32,s1317,s1315,s1323]) ).
cnf(s1333,plain,
( spl42_13
| spl42_19 ),
inference(rat,[],[s439,s247,s249,s448,s459,s1332,s453,s514,s519,s1133,s950,s1331,s23,s461,s495,s1330,s13,s27,s1309]) ).
cnf(s1334,plain,
( ~ spl42_58
| spl42_19 ),
inference(rat,[],[s712,s1139,s1125,s1002,s459,s645,s701,s1113,s32,s320,s644,s484,s873,s1189,s694,s1333]) ).
cnf(s1335,plain,
( spl42_35
| spl42_49
| spl42_19 ),
inference(rat,[],[s263,s682,s711,s250,s9,s450,s636,s791,s1026,s24,s1240,s30,s27,s872,s1189,s694,s1333,s1334,s1322,s1102,s1320,s1319,s1317,s1315,s1323]) ).
cnf(s1336,plain,
( ~ spl42_35
| spl42_19 ),
inference(rat,[],[s712,s1139,s1125,s459,s645,s1003,s661,s235,s263,s450,s636,s791,s248,s440,s648,s247,s519,s1133,s434,s633,s950,s444,s644,s1239,s463,s484,s1333,s1322,s1321,s1309]) ).
cnf(s1337,plain,
spl42_19,
inference(rat,[],[s263,s682,s711,s250,s9,s450,s636,s1026,s1136,s271,s1335,s1336,s872,s1189,s484,s694,s1333,s1322,s1102,s1320,s1319]) ).
cnf(s1338,plain,
~ spl42_178,
inference(rat,[],[s1001,s1337]) ).
cnf(s1339,plain,
~ spl42_23,
inference(rat,[],[s1000,s1337]) ).
cnf(s1340,plain,
~ spl42_190,
inference(rat,[],[s999,s1337]) ).
cnf(s1342,plain,
~ spl42_17,
inference(rat,[],[s483,s1337]) ).
cnf(s1343,plain,
~ spl42_20,
inference(rat,[],[s482,s1337]) ).
cnf(s1344,plain,
( spl42_35
| spl42_16
| spl42_56
| spl42_13 ),
inference(rat,[],[s232,s704,s460,s495,s237,s1132,s1328,s1340,s1318,s1343,s1314]) ).
cnf(s1345,plain,
( spl42_35
| spl42_56
| spl42_13
| spl42_49 ),
inference(rat,[],[s1344,s1324]) ).
cnf(s1346,plain,
~ spl42_57,
inference(rat,[],[s514,s1131,s29,s316,s1343]) ).
cnf(s1347,plain,
( ~ spl42_16
| spl42_56
| spl42_49 ),
inference(rat,[],[s24,s1240,s791,s32,s334,s1023,s1024,s1317,s1315,s1346,s1323,s1308,s1338]) ).
cnf(s1348,plain,
( spl42_56
| spl42_13
| spl42_49 ),
inference(rat,[],[s1125,s1007,s645,s701,s239,s32,s320,s1240,s970,s297,s704,s237,s1326,s1347,s455,s1345,s1318,s1343,s1323,s1346,s1315,s1317,s1306,s1102]) ).
cnf(s1349,plain,
( spl42_13
| spl42_49 ),
inference(rat,[],[s645,s1138,s1125,s426,s1007,s1141,s779,s1294,s250,s434,s248,s636,s970,s960,s1326,s1024,s334,s305,s307,s1348,s231,s1102,s1320,s1339,s1321,s1308,s1338,s1342]) ).
cnf(s1350,plain,
( ~ spl42_58
| ~ spl42_13 ),
inference(rat,[],[s711,s9,s263,s951,s682,s336,s687,s701,s247,s32,s321,s1239,s1026,s708,s636,s1136,s484,s704,s237,s463,s1102,s1319,s1322,s1309,s1318,s1343]) ).
cnf(s1351,plain,
spl42_49,
inference(rat,[],[s682,s263,s251,s711,s519,s239,s1135,s735,s786,s486,s245,s1138,s443,s517,s495,s1134,s232,s460,s475,s28,s1130,s1350,s636,s1026,s1136,s297,s704,s237,s463,s484,s1349,s1322,s1102,s1306,s1342,s1319,s1314,s1317,s1315,s1187,s1323,s1346,s1224,s1343,s1318]) ).
cnf(s1353,plain,
~ spl42_174,
inference(rat,[],[s271,s1351]) ).
cnf(s1354,plain,
spl42_13,
inference(rat,[],[s13,s1351]) ).
cnf(s1356,plain,
~ spl42_14,
inference(rat,[],[s484,s1354]) ).
cnf(s1357,plain,
~ spl42_16,
inference(rat,[],[s463,s1354]) ).
cnf(s1361,plain,
~ spl42_211,
inference(rat,[],[s644,s1354,s1356]) ).
cnf(s1362,plain,
~ spl42_37,
inference(rat,[],[s1239,s1357,s1356]) ).
cnf(s1363,plain,
spl42_22,
inference(rat,[],[s1136,s1353,s1356]) ).
cnf(s1365,plain,
~ spl42_34,
inference(rat,[],[s1026,s1363]) ).
cnf(s1366,plain,
~ spl42_221,
inference(rat,[],[s636,s1353,s1363]) ).
cnf(s1367,plain,
spl42_35,
inference(rat,[],[s682,s687,s263,s247,s711,s504,s9,s250,s1322,s1366,s1309,s1362,s1102,s1319,s1365,s1320,s1339]) ).
cnf(s1369,plain,
~ spl42_222,
inference(rat,[],[s633,s1340,s1367]) ).
cnf(s1370,plain,
~ spl42_33,
inference(rat,[],[s455,s1367]) ).
cnf(s1371,plain,
spl42_223,
inference(rat,[],[s263,s1366,s1322,s1369]) ).
cnf(s1373,plain,
spl42_40,
inference(rat,[],[s686,s1131,s247,s874,s661,s1138,s1343,s1309,s1362,s1371,s1357]) ).
cnf(s1374,plain,
~ spl42_207,
inference(rat,[],[s701,s1373]) ).
cnf(s1375,plain,
~ spl42_213,
inference(rat,[],[s645,s1374,s1373]) ).
cnf(s1377,plain,
~ spl42_38,
inference(rat,[],[s459,s1373]) ).
cnf(s1379,plain,
spl42_212,
inference(rat,[],[s1125,s1361,s1375]) ).
cnf(s1381,plain,
spl42_26,
inference(rat,[],[s1139,s1356,s1377]) ).
cnf(s1386,plain,
~ spl42_25,
inference(rat,[],[s1007,s1102,s1379]) ).
cnf(s1387,plain,
~ spl42_32,
inference(rat,[],[s643,s1381,s1379]) ).
cnf(s1389,plain,
~ spl42_28,
inference(rat,[],[s517,s1381]) ).
cnf(s1391,plain,
spl42_182,
inference(rat,[],[s239,s1306,s1370,s1386]) ).
cnf(s1393,plain,
spl42_206,
inference(rat,[],[s245,s1387,s1319,s1389]) ).
cnf(s1397,plain,
$false,
inference(rat,[],[s735,s1393,s1391]) ).
fof(f7594,plain,
$false,
inference(avatar_sat_refutation,[],[s1397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG106+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n019.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
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 19:28:03 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.25/1.20 % (144434)Detected formulas, will run a generic FOF schedule.
% 5.25/1.20 % (144445)dis-21_1_sil=8000:lcm=predicate:random_seed=177700591: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)
% 5.25/1.20 % (144445)Refutation not found, incomplete strategy
% 5.25/1.20 % (144445)------------------------------
% 5.25/1.20 % (144445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.20 % (144445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.20 % (144445)CaDiCaL version: 2.1.3
% 5.25/1.20 % (144445)Termination reason: Refutation not found, incomplete strategy
% 5.25/1.20 % (144445)Time elapsed: 0.010 s
% 5.25/1.20 % (144445)Peak memory usage: 89 MB
% 5.25/1.20 % (144445)Instructions burned: 37 (million)
% 5.25/1.20 % (144441)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=2736426855:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.25/1.20 % (144442)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2358022770:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.25/1.20 % (144443)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2526730580:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.25/1.20 % (144440)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=3607793324:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.25/1.20 % (144444)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3547030409:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.25/1.20 % (144439)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=2181991203:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.25/1.20 % (144442)Instruction limit reached!
% 5.25/1.20 % (144442)------------------------------
% 5.25/1.20 % (144442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.20 % (144442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.20 % (144442)CaDiCaL version: 2.1.3
% 5.25/1.20 % (144442)Termination reason: Instruction limit
% 5.25/1.20 % (144442)Termination phase: Saturation
% 5.25/1.20 % (144442)Time elapsed: 0.050 s
% 5.25/1.20 % (144442)Peak memory usage: 90 MB
% 5.25/1.20 % (144442)Instructions burned: 110 (million)
% 5.25/1.20 % (144443)Instruction limit reached!
% 5.25/1.20 % (144443)------------------------------
% 5.25/1.20 % (144443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.20 % (144443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.20 % (144443)CaDiCaL version: 2.1.3
% 5.25/1.20 % (144443)Termination reason: Instruction limit
% 5.25/1.20 % (144443)Termination phase: Saturation
% 5.25/1.20 % (144443)Time elapsed: 0.051 s
% 5.25/1.20 % (144443)Peak memory usage: 88 MB
% 5.25/1.20 % (144443)Instructions burned: 120 (million)
% 5.25/1.20 % (144444)Instruction limit reached!
% 5.25/1.20 % (144444)------------------------------
% 5.25/1.20 % (144444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.20 % (144444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.20 % (144444)CaDiCaL version: 2.1.3
% 5.25/1.20 % (144444)Termination reason: Instruction limit
% 5.25/1.20 % (144444)Termination phase: Saturation
% 5.25/1.20 % (144444)Time elapsed: 0.072 s
% 5.25/1.20 % (144444)Peak memory usage: 89 MB
% 5.25/1.20 % (144444)Instructions burned: 139 (million)
% 5.25/1.20 % (144445)------------------------------
% 5.25/1.20 % (144445)------------------------------
% 5.25/1.20 % (144453)lrs+10_1_sil=8000:sp=occurrence:random_seed=795579972:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.25/1.20 % (144454)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4280386765:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.25/1.20 % (144456)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=3797079071:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.25/1.20 % (144455)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1202434896:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.25/1.20 % (144454)Instruction limit reached!
% 5.25/1.20 % (144454)------------------------------
% 5.25/1.20 % (144454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.20 % (144454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.20 % (144454)CaDiCaL version: 2.1.3
% 5.25/1.20 % (144454)Termination reason: Instruction limit
% 5.25/1.20 % (144454)Termination phase: Saturation
% 5.25/1.20 % (144454)Time elapsed: 0.080 s
% 5.25/1.20 % (144454)Peak memory usage: 90 MB
% 5.25/1.20 % (144454)Instructions burned: 158 (million)
% 5.25/1.20 % (144456)Instruction limit reached!
% 5.25/1.20 % (144456)------------------------------
% 5.25/1.20 % (144456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.20 % (144456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.20 % (144456)CaDiCaL version: 2.1.3
% 5.25/1.20 % (144456)Termination reason: Instruction limit
% 5.25/1.20 % (144456)Termination phase: Saturation
% 5.25/1.20 % (144456)Time elapsed: 0.078 s
% 5.25/1.20 % (144456)Peak memory usage: 91 MB
% 5.25/1.20 % (144456)Instructions burned: 250 (million)
% 5.25/1.20 % (144453)First to succeed.
% 5.25/1.20 % (144455)Also succeeded, but the first one will report.
% 5.25/1.20 % (144453)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-144434"
% 5.25/1.20 [W928 19:28:04.136419299 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.
% 5.25/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.25/1.20 [W928 19:28:04.136455256 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.
% 5.25/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.25/1.20 [W928 19:28:04.136491149 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.
% 5.25/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.73/1.20 [W928 19:28:04.136503633 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.
% 5.73/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.73/1.20 [W928 19:28:04.136529703 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.
% 5.73/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.73/1.20 [W928 19:28:04.136541156 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.
% 5.73/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.73/1.20 [W928 19:28:04.136922647 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.
% 5.73/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.73/1.20 [W928 19:28:04.136956110 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.
% 5.73/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.73/1.20 [W928 19:28:04.136992727 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.
% 5.73/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.73/1.20 [W928 19:28:04.137016493 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.
% 5.73/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.73/1.20 [W928 19:28:04.137045527 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.
% 5.73/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.73/1.20 [W928 19:28:04.137056767 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.
% 5.73/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.73/1.20 [W928 19:28:04.137316937 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.
% 5.73/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.73/1.20 [W928 19:28:04.137354897 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.
% 5.73/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.73/1.20 [W928 19:28:04.137390597 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.
% 5.73/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.73/1.20 [W928 19:28:04.137407437 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.
% 5.73/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.73/1.20 [W928 19:28:04.137433121 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.
% 5.73/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.73/1.20 [W928 19:28:04.137443144 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.
% 5.73/1.20 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 5.73/1.20 % (144462)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4021454327:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.73/1.20 % (144461)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1569338766:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.73/1.20 % (144461)Instruction limit reached!
% 5.73/1.20 % (144461)------------------------------
% 5.73/1.20 % (144461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/1.20 % (144461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.20 % (144461)CaDiCaL version: 2.1.3
% 5.73/1.20 % (144461)Termination reason: Instruction limit
% 5.73/1.20 % (144461)Termination phase: Saturation
% 5.73/1.20 % (144461)Time elapsed: 0.106 s
% 5.73/1.20 % (144461)Peak memory usage: 89 MB
% 5.73/1.20 % (144461)Instructions burned: 295 (million)
% 5.73/1.20 % (144453)Refutation found. Thanks to Tanya!
% 5.73/1.20 % SZS status Theorem for theBenchmark
% 5.73/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 5.73/1.29 % (144453)------------------------------
% 5.73/1.29 % (144453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/1.29 % (144453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.29 % (144453)CaDiCaL version: 2.1.3
% 5.73/1.29 % (144453)Termination reason: Refutation
% 5.73/1.29 % (144453)Time elapsed: 0.149 s
% 5.73/1.29 % (144453)Peak memory usage: 92 MB
% 5.73/1.29 % (144453)Instructions burned: 291 (million)
% 5.73/1.29 % (144453)------------------------------
% 5.73/1.29 % (144453)------------------------------
% 5.73/1.29 % (144434)Success in time 0.779 s
% 5.73/1.29 % Vampire exiting
%------------------------------------------------------------------------------