%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG107+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 09:10:58 AM UTC 2026
% Result : Theorem 3.03s 1.12s
% Output : Refutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 212
% Syntax : Number of formulae : 1692 ( 112 unt; 196 def)
% Number of atoms : 5716 (2185 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 6868 (2844 ~;3320 |; 526 &)
% ( 178 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 198 ( 196 usr; 197 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
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(e10,e11)) = e11
& op1(e12,op1(e10,e12)) = e12
& op1(e13,op1(e10,e13)) = e13 )
| ( op1(e10,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e12,op1(e11,e12)) = e12
& op1(e13,op1(e11,e13)) = e13 )
| ( op1(e10,op1(e12,e10)) = e10
& op1(e11,op1(e12,e11)) = e11
& op1(e12,op1(e12,e12)) = e12
& op1(e13,op1(e12,e13)) = e13 )
| ( op1(e10,op1(e13,e10)) = e10
& op1(e11,op1(e13,e11)) = e11
& op1(e12,op1(e13,e12)) = e12
& op1(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(e20,e21)) = e21
& op2(e22,op2(e20,e22)) = e22
& op2(e23,op2(e20,e23)) = e23 )
| ( op2(e20,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e22,op2(e21,e22)) = e22
& op2(e23,op2(e21,e23)) = e23 )
| ( op2(e20,op2(e22,e20)) = e20
& op2(e21,op2(e22,e21)) = e21
& op2(e22,op2(e22,e22)) = e22
& op2(e23,op2(e22,e23)) = e23 )
| ( op2(e20,op2(e23,e20)) = e20
& op2(e21,op2(e23,e21)) = e21
& op2(e22,op2(e23,e22)) = e22
& op2(e23,op2(e23,e23)) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e10 = op1(e12,e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e20 = op2(e22,e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e12) = e20
& h1(e10) = op2(e20,e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e13) = op2(op2(e20,op2(e20,e20)),op2(e20,e20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e12) = e21
& h2(e10) = op2(e21,e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e13) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e12) = e22
& h3(e10) = op2(e22,e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e13) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e12) = e23
& h4(e10) = op2(e23,e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e13) = op2(op2(e23,op2(e23,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(e10,op1(e13,e10)) = e10
& op1(e11,op1(e13,e11)) = e11
& op1(e12,op1(e13,e12)) = e12
& op1(e13,op1(e13,e13)) = e13 )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ( op1(e10,op1(e12,e10)) = e10
& op1(e11,op1(e12,e11)) = e11
& op1(e12,op1(e12,e12)) = e12
& op1(e13,op1(e12,e13)) = e13 )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ( op1(e10,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e12,op1(e11,e12)) = e12
& op1(e13,op1(e11,e13)) = e13 )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f37,plain,
( ( op1(e10,op1(e10,e10)) = e10
& op1(e11,op1(e10,e11)) = e11
& op1(e12,op1(e10,e12)) = e12
& op1(e13,op1(e10,e13)) = e13 )
| sP14
| sP13
| sP12 ),
inference(definition_folding,[],[f10,f36,f35,f34]) ).
fof(f38,definition,
( ( op2(e20,op2(e23,e20)) = e20
& op2(e21,op2(e23,e21)) = e21
& op2(e22,op2(e23,e22)) = e22
& op2(e23,op2(e23,e23)) = e23 )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ( op2(e20,op2(e22,e20)) = e20
& op2(e21,op2(e22,e21)) = e21
& op2(e22,op2(e22,e22)) = e22
& op2(e23,op2(e22,e23)) = e23 )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ( op2(e20,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e22,op2(e21,e22)) = e22
& op2(e23,op2(e21,e23)) = e23 )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f41,plain,
( ( op2(e20,op2(e20,e20)) = e20
& op2(e21,op2(e20,e21)) = e21
& op2(e22,op2(e20,e22)) = e22
& op2(e23,op2(e20,e23)) = e23 )
| sP17
| sP16
| sP15 ),
inference(definition_folding,[],[f11,f40,f39,f38]) ).
fof(f45,plain,
( ( e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f46,plain,
( ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e13) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f47,plain,
( ( e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f54,plain,
( ( op1(e10,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e12,op1(e11,e12)) = e12
& op1(e13,op1(e11,e13)) = e13 )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f55,plain,
( ( op1(e10,op1(e12,e10)) = e10
& op1(e11,op1(e12,e11)) = e11
& op1(e12,op1(e12,e12)) = e12
& op1(e13,op1(e12,e13)) = e13 )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f56,plain,
( ( op1(e10,op1(e13,e10)) = e10
& op1(e11,op1(e13,e11)) = e11
& op1(e12,op1(e13,e12)) = e12
& op1(e13,op1(e13,e13)) = e13 )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f57,plain,
( ( op2(e20,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e22,op2(e21,e22)) = e22
& op2(e23,op2(e21,e23)) = e23 )
| ~ sP17 ),
inference(nnf_transformation,[],[f40]) ).
fof(f58,plain,
( ( op2(e20,op2(e22,e20)) = e20
& op2(e21,op2(e22,e21)) = e21
& op2(e22,op2(e22,e22)) = e22
& op2(e23,op2(e22,e23)) = e23 )
| ~ sP16 ),
inference(nnf_transformation,[],[f39]) ).
fof(f59,plain,
( ( op2(e20,op2(e23,e20)) = e20
& op2(e21,op2(e23,e21)) = e21
& op2(e22,op2(e23,e22)) = e22
& op2(e23,op2(e23,e23)) = e23 )
| ~ sP15 ),
inference(nnf_transformation,[],[f38]) ).
fof(f73,plain,
( e21 != h2(e12)
| ~ sP8 ),
inference(cnf_transformation,[],[f45]) ).
fof(f76,plain,
( e22 != h2(e13)
| ~ sP7 ),
inference(cnf_transformation,[],[f46]) ).
fof(f82,plain,
( e23 != h2(e11)
| ~ sP6 ),
inference(cnf_transformation,[],[f47]) ).
fof(f119,plain,
( 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)
| sP8
| sP7
| sP6 ),
inference(cnf_transformation,[],[f33]) ).
fof(f124,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f125,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f126,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f127,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f128,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f129,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f130,plain,
e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f131,plain,
e11 = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f132,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f12]) ).
fof(f133,plain,
( e13 = op1(e13,op1(e11,e13))
| ~ sP14 ),
inference(cnf_transformation,[],[f54]) ).
fof(f134,plain,
( e12 = op1(e12,op1(e11,e12))
| ~ sP14 ),
inference(cnf_transformation,[],[f54]) ).
fof(f135,plain,
( e11 = op1(e11,op1(e11,e11))
| ~ sP14 ),
inference(cnf_transformation,[],[f54]) ).
fof(f136,plain,
( e10 = op1(e10,op1(e11,e10))
| ~ sP14 ),
inference(cnf_transformation,[],[f54]) ).
fof(f138,plain,
( e12 = op1(e12,op1(e12,e12))
| ~ sP13 ),
inference(cnf_transformation,[],[f55]) ).
fof(f141,plain,
( e13 = op1(e13,op1(e13,e13))
| ~ sP12 ),
inference(cnf_transformation,[],[f56]) ).
fof(f142,plain,
( e12 = op1(e12,op1(e13,e12))
| ~ sP12 ),
inference(cnf_transformation,[],[f56]) ).
fof(f143,plain,
( e11 = op1(e11,op1(e13,e11))
| ~ sP12 ),
inference(cnf_transformation,[],[f56]) ).
fof(f144,plain,
( e10 = op1(e10,op1(e13,e10))
| ~ sP12 ),
inference(cnf_transformation,[],[f56]) ).
fof(f145,plain,
( e13 = op1(e13,op1(e10,e13))
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f37]) ).
fof(f146,plain,
( e12 = op1(e12,op1(e10,e12))
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f37]) ).
fof(f147,plain,
( e11 = op1(e11,op1(e10,e11))
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f37]) ).
fof(f148,plain,
( e10 = op1(e10,op1(e10,e10))
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f37]) ).
fof(f157,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f181,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f183,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f195,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f197,plain,
( e13 = op1(e10,e13)
| e13 = op1(e11,e13)
| e13 = op1(e12,e13)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f198,plain,
( e13 = op1(e13,e10)
| e13 = op1(e13,e11)
| e13 = op1(e13,e12)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f199,plain,
( e12 = op1(e10,e13)
| e12 = op1(e11,e13)
| e12 = op1(e12,e13)
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f200,plain,
( e12 = op1(e13,e10)
| e12 = op1(e13,e11)
| e12 = op1(e13,e12)
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f201,plain,
( e11 = op1(e10,e13)
| e11 = op1(e11,e13)
| e11 = op1(e12,e13)
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f202,plain,
( e11 = op1(e13,e10)
| e11 = op1(e13,e11)
| e11 = op1(e13,e12)
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f204,plain,
( e10 = op1(e13,e10)
| e10 = op1(e13,e11)
| e10 = op1(e13,e12)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f206,plain,
( e13 = op1(e12,e10)
| e13 = op1(e12,e11)
| e13 = op1(e12,e12)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f207,plain,
( e12 = op1(e10,e12)
| e12 = op1(e11,e12)
| e12 = op1(e12,e12)
| e12 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f208,plain,
( e12 = op1(e12,e10)
| e12 = op1(e12,e11)
| e12 = op1(e12,e12)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f209,plain,
( e11 = op1(e10,e12)
| e11 = op1(e11,e12)
| e11 = op1(e12,e12)
| e11 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f213,plain,
( e13 = op1(e10,e11)
| e13 = op1(e11,e11)
| e13 = op1(e12,e11)
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f216,plain,
( e12 = op1(e11,e10)
| e12 = op1(e11,e11)
| e12 = op1(e11,e12)
| e12 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f217,plain,
( e11 = op1(e10,e11)
| e11 = op1(e11,e11)
| e11 = op1(e12,e11)
| e11 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f219,plain,
( e10 = op1(e10,e11)
| e10 = op1(e11,e11)
| e10 = op1(e12,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f220,plain,
( e10 = op1(e11,e10)
| e10 = op1(e11,e11)
| e10 = op1(e11,e12)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f222,plain,
( op1(e10,e10) = e13
| e13 = op1(e10,e11)
| e13 = op1(e10,e12)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f223,plain,
( op1(e10,e10) = e12
| e12 = op1(e11,e10)
| e12 = op1(e12,e10)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f224,plain,
( op1(e10,e10) = e12
| e12 = op1(e10,e11)
| e12 = op1(e10,e12)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f226,plain,
( op1(e10,e10) = e11
| e11 = op1(e10,e11)
| e11 = op1(e10,e12)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f227,plain,
( e10 = op1(e10,e10)
| e10 = op1(e11,e10)
| e10 = op1(e12,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f228,plain,
( e10 = op1(e10,e10)
| e10 = op1(e10,e11)
| e10 = op1(e10,e12)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f232,plain,
( e10 = op1(e13,e10)
| e11 = op1(e13,e10)
| e12 = op1(e13,e10)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f241,plain,
( e10 = op1(e10,e13)
| e11 = op1(e10,e13)
| e12 = op1(e10,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f243,plain,
( e10 = op1(e10,e11)
| e11 = op1(e10,e11)
| e12 = op1(e10,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f245,plain,
e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f246,plain,
e21 = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f247,plain,
e20 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f248,plain,
( e23 = op2(e23,op2(e21,e23))
| ~ sP17 ),
inference(cnf_transformation,[],[f57]) ).
fof(f249,plain,
( e22 = op2(e22,op2(e21,e22))
| ~ sP17 ),
inference(cnf_transformation,[],[f57]) ).
fof(f250,plain,
( e21 = op2(e21,op2(e21,e21))
| ~ sP17 ),
inference(cnf_transformation,[],[f57]) ).
fof(f252,plain,
( e23 = op2(e23,op2(e22,e23))
| ~ sP16 ),
inference(cnf_transformation,[],[f58]) ).
fof(f254,plain,
( e21 = op2(e21,op2(e22,e21))
| ~ sP16 ),
inference(cnf_transformation,[],[f58]) ).
fof(f255,plain,
( e20 = op2(e20,op2(e22,e20))
| ~ sP16 ),
inference(cnf_transformation,[],[f58]) ).
fof(f256,plain,
( e23 = op2(e23,op2(e23,e23))
| ~ sP15 ),
inference(cnf_transformation,[],[f59]) ).
fof(f257,plain,
( e22 = op2(e22,op2(e23,e22))
| ~ sP15 ),
inference(cnf_transformation,[],[f59]) ).
fof(f258,plain,
( e21 = op2(e21,op2(e23,e21))
| ~ sP15 ),
inference(cnf_transformation,[],[f59]) ).
fof(f259,plain,
( e20 = op2(e20,op2(e23,e20))
| ~ sP15 ),
inference(cnf_transformation,[],[f59]) ).
fof(f260,plain,
( e23 = op2(e23,op2(e20,e23))
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f41]) ).
fof(f261,plain,
( e22 = op2(e22,op2(e20,e22))
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f41]) ).
fof(f262,plain,
( e21 = op2(e21,op2(e20,e21))
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f41]) ).
fof(f263,plain,
( e20 = op2(e20,op2(e20,e20))
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f41]) ).
fof(f280,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f281,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f282,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f283,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f284,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f285,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f299,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f303,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f307,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f314,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f330,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f331,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f336,plain,
( e22 = op2(e20,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23)
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f339,plain,
( e21 = op2(e23,e20)
| e21 = op2(e23,e21)
| e21 = op2(e23,e22)
| e21 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f340,plain,
( e20 = op2(e20,e23)
| e20 = op2(e21,e23)
| e20 = op2(e22,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f341,plain,
( e20 = op2(e23,e20)
| e20 = op2(e23,e21)
| e20 = op2(e23,e22)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f342,plain,
( e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e22,e22)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f343,plain,
( e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e22)
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f344,plain,
( e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e22,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f345,plain,
( e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e22)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f346,plain,
( e21 = op2(e20,e22)
| e21 = op2(e21,e22)
| e21 = op2(e22,e22)
| e21 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f350,plain,
( e23 = op2(e20,e21)
| e23 = op2(e21,e21)
| e23 = op2(e22,e21)
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f352,plain,
( e22 = op2(e20,e21)
| e22 = op2(e21,e21)
| e22 = op2(e22,e21)
| e22 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f353,plain,
( e22 = op2(e21,e20)
| e22 = op2(e21,e21)
| e22 = op2(e21,e22)
| e22 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f354,plain,
( e21 = op2(e20,e21)
| e21 = op2(e21,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f357,plain,
( e20 = op2(e21,e20)
| e20 = op2(e21,e21)
| e20 = op2(e21,e22)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f359,plain,
( op2(e20,e20) = e23
| e23 = op2(e20,e21)
| e23 = op2(e20,e22)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f360,plain,
( op2(e20,e20) = e22
| e22 = op2(e21,e20)
| e22 = op2(e22,e20)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f361,plain,
( op2(e20,e20) = e22
| e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f363,plain,
( op2(e20,e20) = e21
| e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f364,plain,
( e20 = op2(e20,e20)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f365,plain,
( e20 = op2(e20,e20)
| e20 = op2(e20,e21)
| e20 = op2(e20,e22)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f383,plain,
op2(e20,op2(e20,e20)) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f384,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f386,plain,
h2(e13) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f387,plain,
op2(e21,op2(e21,e21)) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f388,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f389,plain,
e21 = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f391,plain,
op2(e22,op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f392,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f395,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f396,plain,
op2(e23,e23) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f400,definition,
( spl18_1
<=> e23 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f401,plain,
( e23 != op2(e23,e22)
| spl18_1 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f402,plain,
( e23 = op2(e23,e22)
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f404,definition,
( spl18_2
<=> e22 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f406,plain,
( e22 = op2(e23,e22)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f408,definition,
( spl18_3
<=> e21 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl18_3])],[avatar_definition]) ).
fof(f410,plain,
( e21 = op2(e23,e22)
| ~ spl18_3 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f412,definition,
( spl18_4
<=> e20 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl18_4])],[avatar_definition]) ).
fof(f414,plain,
( e20 = op2(e23,e22)
| ~ spl18_4 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f417,definition,
( spl18_5
<=> e23 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl18_5])],[avatar_definition]) ).
fof(f418,plain,
( e23 != op2(e23,e21)
| spl18_5 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f419,plain,
( e23 = op2(e23,e21)
| ~ spl18_5 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f421,definition,
( spl18_6
<=> e22 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl18_6])],[avatar_definition]) ).
fof(f423,plain,
( e22 = op2(e23,e21)
| ~ spl18_6 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f425,definition,
( spl18_7
<=> e21 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl18_7])],[avatar_definition]) ).
fof(f427,plain,
( e21 = op2(e23,e21)
| ~ spl18_7 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f429,definition,
( spl18_8
<=> e20 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl18_8])],[avatar_definition]) ).
fof(f431,plain,
( e20 = op2(e23,e21)
| ~ spl18_8 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f434,definition,
( spl18_9
<=> e23 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl18_9])],[avatar_definition]) ).
fof(f435,plain,
( e23 != op2(e23,e20)
| spl18_9 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f436,plain,
( e23 = op2(e23,e20)
| ~ spl18_9 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f438,definition,
( spl18_10
<=> e22 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl18_10])],[avatar_definition]) ).
fof(f440,plain,
( e22 = op2(e23,e20)
| ~ spl18_10 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f442,definition,
( spl18_11
<=> e21 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl18_11])],[avatar_definition]) ).
fof(f444,plain,
( e21 = op2(e23,e20)
| ~ spl18_11 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f446,definition,
( spl18_12
<=> e20 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl18_12])],[avatar_definition]) ).
fof(f448,plain,
( e20 = op2(e23,e20)
| ~ spl18_12 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f451,definition,
( spl18_13
<=> e23 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl18_13])],[avatar_definition]) ).
fof(f453,plain,
( e23 = op2(e22,e23)
| ~ spl18_13 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f455,definition,
( spl18_14
<=> e22 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl18_14])],[avatar_definition]) ).
fof(f456,plain,
( e22 != op2(e22,e23)
| spl18_14 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f457,plain,
( e22 = op2(e22,e23)
| ~ spl18_14 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f463,definition,
( spl18_16
<=> e20 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl18_16])],[avatar_definition]) ).
fof(f465,plain,
( e20 = op2(e22,e23)
| ~ spl18_16 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f469,definition,
( spl18_17
<=> e23 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl18_17])],[avatar_definition]) ).
fof(f471,plain,
( e23 = op2(e22,e21)
| ~ spl18_17 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f473,definition,
( spl18_18
<=> e22 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl18_18])],[avatar_definition]) ).
fof(f474,plain,
( e22 != op2(e22,e21)
| spl18_18 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f475,plain,
( e22 = op2(e22,e21)
| ~ spl18_18 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f477,definition,
( spl18_19
<=> e21 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl18_19])],[avatar_definition]) ).
fof(f479,plain,
( e21 = op2(e22,e21)
| ~ spl18_19 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f486,definition,
( spl18_21
<=> e23 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl18_21])],[avatar_definition]) ).
fof(f488,plain,
( e23 = op2(e22,e20)
| ~ spl18_21 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f490,definition,
( spl18_22
<=> e22 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl18_22])],[avatar_definition]) ).
fof(f491,plain,
( e22 != op2(e22,e20)
| spl18_22 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f492,plain,
( e22 = op2(e22,e20)
| ~ spl18_22 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f494,definition,
( spl18_23
<=> e21 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl18_23])],[avatar_definition]) ).
fof(f496,plain,
( e21 = op2(e22,e20)
| ~ spl18_23 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f498,definition,
( spl18_24
<=> e20 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl18_24])],[avatar_definition]) ).
fof(f500,plain,
( e20 = op2(e22,e20)
| ~ spl18_24 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f507,definition,
( spl18_26
<=> e22 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl18_26])],[avatar_definition]) ).
fof(f509,plain,
( e22 = op2(e21,e23)
| ~ spl18_26 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f511,definition,
( spl18_27
<=> e21 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl18_27])],[avatar_definition]) ).
fof(f513,plain,
( e21 = op2(e21,e23)
| ~ spl18_27 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f515,definition,
( spl18_28
<=> e20 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl18_28])],[avatar_definition]) ).
fof(f517,plain,
( e20 = op2(e21,e23)
| ~ spl18_28 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f520,definition,
( spl18_29
<=> e23 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl18_29])],[avatar_definition]) ).
fof(f522,plain,
( e23 = op2(e21,e22)
| ~ spl18_29 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f524,definition,
( spl18_30
<=> e22 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl18_30])],[avatar_definition]) ).
fof(f526,plain,
( e22 = op2(e21,e22)
| ~ spl18_30 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f528,definition,
( spl18_31
<=> e21 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl18_31])],[avatar_definition]) ).
fof(f529,plain,
( e21 != op2(e21,e22)
| spl18_31 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f530,plain,
( e21 = op2(e21,e22)
| ~ spl18_31 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f532,definition,
( spl18_32
<=> e20 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl18_32])],[avatar_definition]) ).
fof(f534,plain,
( e20 = op2(e21,e22)
| ~ spl18_32 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f538,definition,
( spl18_33
<=> e23 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl18_33])],[avatar_definition]) ).
fof(f539,plain,
( e23 != op2(e21,e20)
| spl18_33 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f540,plain,
( e23 = op2(e21,e20)
| ~ spl18_33 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f542,definition,
( spl18_34
<=> e22 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl18_34])],[avatar_definition]) ).
fof(f544,plain,
( e22 = op2(e21,e20)
| ~ spl18_34 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f546,definition,
( spl18_35
<=> e21 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl18_35])],[avatar_definition]) ).
fof(f550,definition,
( spl18_36
<=> e20 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl18_36])],[avatar_definition]) ).
fof(f552,plain,
( e20 = op2(e21,e20)
| ~ spl18_36 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f555,definition,
( spl18_37
<=> e23 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl18_37])],[avatar_definition]) ).
fof(f557,plain,
( e23 = op2(e20,e23)
| ~ spl18_37 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f559,definition,
( spl18_38
<=> e22 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl18_38])],[avatar_definition]) ).
fof(f561,plain,
( e22 = op2(e20,e23)
| ~ spl18_38 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f563,definition,
( spl18_39
<=> e21 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl18_39])],[avatar_definition]) ).
fof(f565,plain,
( e21 = op2(e20,e23)
| ~ spl18_39 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f567,definition,
( spl18_40
<=> e20 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl18_40])],[avatar_definition]) ).
fof(f569,plain,
( e20 = op2(e20,e23)
| ~ spl18_40 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f572,definition,
( spl18_41
<=> e23 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl18_41])],[avatar_definition]) ).
fof(f574,plain,
( e23 = op2(e20,e22)
| ~ spl18_41 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f576,definition,
( spl18_42
<=> e22 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl18_42])],[avatar_definition]) ).
fof(f578,plain,
( e22 = op2(e20,e22)
| ~ spl18_42 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f580,definition,
( spl18_43
<=> e21 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl18_43])],[avatar_definition]) ).
fof(f582,plain,
( e21 = op2(e20,e22)
| ~ spl18_43 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f584,definition,
( spl18_44
<=> e20 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl18_44])],[avatar_definition]) ).
fof(f585,plain,
( e20 != op2(e20,e22)
| spl18_44 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f586,plain,
( e20 = op2(e20,e22)
| ~ spl18_44 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f589,definition,
( spl18_45
<=> e23 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl18_45])],[avatar_definition]) ).
fof(f591,plain,
( e23 = op2(e20,e21)
| ~ spl18_45 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f593,definition,
( spl18_46
<=> e22 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl18_46])],[avatar_definition]) ).
fof(f595,plain,
( e22 = op2(e20,e21)
| ~ spl18_46 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f597,definition,
( spl18_47
<=> e21 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl18_47])],[avatar_definition]) ).
fof(f599,plain,
( e21 = op2(e20,e21)
| ~ spl18_47 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f601,definition,
( spl18_48
<=> e20 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl18_48])],[avatar_definition]) ).
fof(f603,plain,
( e20 = op2(e20,e21)
| ~ spl18_48 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f608,plain,
( e22 = h4(e10)
| e22 = op2(e20,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23) ),
inference(forward_demodulation,[],[f336,f396]) ).
fof(f611,plain,
( e21 = h4(e10)
| e21 = op2(e23,e20)
| e21 = op2(e23,e21)
| e21 = op2(e23,e22) ),
inference(forward_demodulation,[],[f339,f396]) ).
fof(f612,plain,
( e20 = h4(e10)
| e20 = op2(e20,e23)
| e20 = op2(e21,e23)
| e20 = op2(e22,e23) ),
inference(forward_demodulation,[],[f340,f396]) ).
fof(f613,plain,
( e20 = h4(e10)
| e20 = op2(e23,e20)
| e20 = op2(e23,e21)
| e20 = op2(e23,e22) ),
inference(forward_demodulation,[],[f341,f396]) ).
fof(f614,plain,
( e23 = h3(e10)
| e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e23,e22) ),
inference(forward_demodulation,[],[f342,f392]) ).
fof(f615,plain,
( e23 = h3(e10)
| e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e23) ),
inference(forward_demodulation,[],[f343,f392]) ).
fof(f616,plain,
( e22 = h3(e10)
| e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e23,e22) ),
inference(forward_demodulation,[],[f344,f392]) ).
fof(f617,plain,
( e22 = h3(e10)
| e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e23) ),
inference(forward_demodulation,[],[f345,f392]) ).
fof(f618,plain,
( e21 = h3(e10)
| e21 = op2(e20,e22)
| e21 = op2(e21,e22)
| e21 = op2(e23,e22) ),
inference(forward_demodulation,[],[f346,f392]) ).
fof(f622,plain,
( e23 = h2(e10)
| e23 = op2(e20,e21)
| e23 = op2(e22,e21)
| e23 = op2(e23,e21) ),
inference(forward_demodulation,[],[f350,f388]) ).
fof(f624,plain,
( e22 = h2(e10)
| e22 = op2(e20,e21)
| e22 = op2(e22,e21)
| e22 = op2(e23,e21) ),
inference(forward_demodulation,[],[f352,f388]) ).
fof(f625,plain,
( e22 = h2(e10)
| e22 = op2(e21,e20)
| e22 = op2(e21,e22)
| e22 = op2(e21,e23) ),
inference(forward_demodulation,[],[f353,f388]) ).
fof(f626,plain,
( e21 = h2(e10)
| e21 = op2(e20,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) ),
inference(forward_demodulation,[],[f354,f388]) ).
fof(f629,plain,
( e20 = h2(e10)
| e20 = op2(e21,e20)
| e20 = op2(e21,e22)
| e20 = op2(e21,e23) ),
inference(forward_demodulation,[],[f357,f388]) ).
fof(f631,plain,
( e23 = h1(e10)
| e23 = op2(e20,e21)
| e23 = op2(e20,e22)
| e23 = op2(e20,e23) ),
inference(forward_demodulation,[],[f359,f384]) ).
fof(f632,plain,
( e22 = h1(e10)
| e22 = op2(e21,e20)
| e22 = op2(e22,e20)
| e22 = op2(e23,e20) ),
inference(forward_demodulation,[],[f360,f384]) ).
fof(f633,plain,
( e22 = h1(e10)
| e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| e22 = op2(e20,e23) ),
inference(forward_demodulation,[],[f361,f384]) ).
fof(f635,plain,
( e21 = h1(e10)
| e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| e21 = op2(e20,e23) ),
inference(forward_demodulation,[],[f363,f384]) ).
fof(f636,plain,
( e20 = h1(e10)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) ),
inference(forward_demodulation,[],[f364,f384]) ).
fof(f637,plain,
( e20 = h1(e10)
| e20 = op2(e20,e21)
| e20 = op2(e20,e22)
| e20 = op2(e20,e23) ),
inference(forward_demodulation,[],[f365,f384]) ).
fof(f644,plain,
op2(e21,e23) != h2(e10),
inference(forward_demodulation,[],[f299,f388]) ).
fof(f646,plain,
op2(e21,e20) != h2(e10),
inference(forward_demodulation,[],[f303,f388]) ).
fof(f647,plain,
op2(e20,e23) != h1(e10),
inference(forward_demodulation,[],[f307,f384]) ).
fof(f659,plain,
op2(e23,e20) != h1(e10),
inference(forward_demodulation,[],[f331,f384]) ).
fof(f663,definition,
( spl18_49
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl18_49])],[avatar_definition]) ).
fof(f667,definition,
( spl18_50
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl18_50])],[avatar_definition]) ).
fof(f671,definition,
( spl18_51
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl18_51])],[avatar_definition]) ).
fof(f675,definition,
( spl18_52
<=> e23 = op2(e23,op2(e20,e23)) ),
introduced(definition,[new_symbols(definition,[spl18_52])],[avatar_definition]) ).
fof(f677,plain,
( e23 = op2(e23,op2(e20,e23))
| ~ spl18_52 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f678,plain,
( spl18_49
| spl18_50
| spl18_51
| spl18_52 ),
inference(avatar_split_clause,[],[f260,f675,f671,f667,f663]) ).
fof(f680,definition,
( spl18_53
<=> e22 = op2(e22,op2(e20,e22)) ),
introduced(definition,[new_symbols(definition,[spl18_53])],[avatar_definition]) ).
fof(f681,plain,
( e22 != op2(e22,op2(e20,e22))
| spl18_53 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f682,plain,
( e22 = op2(e22,op2(e20,e22))
| ~ spl18_53 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f683,plain,
( spl18_49
| spl18_50
| spl18_51
| spl18_53 ),
inference(avatar_split_clause,[],[f261,f680,f671,f667,f663]) ).
fof(f685,definition,
( spl18_54
<=> e21 = op2(e21,op2(e20,e21)) ),
introduced(definition,[new_symbols(definition,[spl18_54])],[avatar_definition]) ).
fof(f687,plain,
( e21 = op2(e21,op2(e20,e21))
| ~ spl18_54 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f688,plain,
( spl18_49
| spl18_50
| spl18_51
| spl18_54 ),
inference(avatar_split_clause,[],[f262,f685,f671,f667,f663]) ).
fof(f689,plain,
( e20 = h1(e11)
| sP17
| sP16
| sP15 ),
inference(forward_demodulation,[],[f263,f383]) ).
fof(f690,plain,
( e23 = h4(e11)
| ~ sP15 ),
inference(forward_demodulation,[],[f256,f395]) ).
fof(f692,definition,
( spl18_55
<=> e22 = op2(e22,op2(e23,e22)) ),
introduced(definition,[new_symbols(definition,[spl18_55])],[avatar_definition]) ).
fof(f694,plain,
( e22 = op2(e22,op2(e23,e22))
| ~ spl18_55 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f695,plain,
( ~ spl18_49
| spl18_55 ),
inference(avatar_split_clause,[],[f257,f692,f663]) ).
fof(f697,definition,
( spl18_56
<=> e21 = op2(e21,op2(e23,e21)) ),
introduced(definition,[new_symbols(definition,[spl18_56])],[avatar_definition]) ).
fof(f699,plain,
( e21 = op2(e21,op2(e23,e21))
| ~ spl18_56 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f700,plain,
( ~ spl18_49
| spl18_56 ),
inference(avatar_split_clause,[],[f258,f697,f663]) ).
fof(f702,definition,
( spl18_57
<=> e20 = op2(e20,op2(e23,e20)) ),
introduced(definition,[new_symbols(definition,[spl18_57])],[avatar_definition]) ).
fof(f704,plain,
( e20 = op2(e20,op2(e23,e20))
| ~ spl18_57 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f705,plain,
( ~ spl18_49
| spl18_57 ),
inference(avatar_split_clause,[],[f259,f702,f663]) ).
fof(f707,definition,
( spl18_58
<=> e23 = op2(e23,op2(e22,e23)) ),
introduced(definition,[new_symbols(definition,[spl18_58])],[avatar_definition]) ).
fof(f709,plain,
( e23 = op2(e23,op2(e22,e23))
| ~ spl18_58 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f710,plain,
( ~ spl18_50
| spl18_58 ),
inference(avatar_split_clause,[],[f252,f707,f667]) ).
fof(f713,definition,
( spl18_59
<=> e21 = op2(e21,op2(e22,e21)) ),
introduced(definition,[new_symbols(definition,[spl18_59])],[avatar_definition]) ).
fof(f715,plain,
( e21 = op2(e21,op2(e22,e21))
| ~ spl18_59 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f716,plain,
( ~ spl18_50
| spl18_59 ),
inference(avatar_split_clause,[],[f254,f713,f667]) ).
fof(f718,definition,
( spl18_60
<=> e20 = op2(e20,op2(e22,e20)) ),
introduced(definition,[new_symbols(definition,[spl18_60])],[avatar_definition]) ).
fof(f720,plain,
( e20 = op2(e20,op2(e22,e20))
| ~ spl18_60 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f721,plain,
( ~ spl18_50
| spl18_60 ),
inference(avatar_split_clause,[],[f255,f718,f667]) ).
fof(f723,definition,
( spl18_61
<=> e23 = op2(e23,op2(e21,e23)) ),
introduced(definition,[new_symbols(definition,[spl18_61])],[avatar_definition]) ).
fof(f725,plain,
( e23 = op2(e23,op2(e21,e23))
| ~ spl18_61 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f726,plain,
( ~ spl18_51
| spl18_61 ),
inference(avatar_split_clause,[],[f248,f723,f671]) ).
fof(f728,definition,
( spl18_62
<=> e22 = op2(e22,op2(e21,e22)) ),
introduced(definition,[new_symbols(definition,[spl18_62])],[avatar_definition]) ).
fof(f730,plain,
( e22 = op2(e22,op2(e21,e22))
| ~ spl18_62 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f731,plain,
( ~ spl18_51
| spl18_62 ),
inference(avatar_split_clause,[],[f249,f728,f671]) ).
fof(f732,plain,
( e21 = h2(e11)
| ~ sP17 ),
inference(forward_demodulation,[],[f250,f387]) ).
fof(f738,plain,
e23 = op2(op2(e22,h3(e10)),h3(e10)),
inference(forward_demodulation,[],[f245,f392]) ).
fof(f739,plain,
e21 = op2(e22,h3(e10)),
inference(forward_demodulation,[],[f246,f392]) ).
fof(f741,definition,
( spl18_64
<=> e13 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl18_64])],[avatar_definition]) ).
fof(f743,plain,
( e13 = op1(e13,e13)
| ~ spl18_64 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f745,definition,
( spl18_65
<=> e12 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl18_65])],[avatar_definition]) ).
fof(f747,plain,
( e12 = op1(e13,e13)
| ~ spl18_65 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f749,definition,
( spl18_66
<=> e11 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl18_66])],[avatar_definition]) ).
fof(f751,plain,
( e11 = op1(e13,e13)
| ~ spl18_66 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f753,definition,
( spl18_67
<=> e10 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl18_67])],[avatar_definition]) ).
fof(f755,plain,
( e10 = op1(e13,e13)
| ~ spl18_67 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f758,definition,
( spl18_68
<=> e13 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl18_68])],[avatar_definition]) ).
fof(f759,plain,
( e13 != op1(e13,e12)
| spl18_68 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f760,plain,
( e13 = op1(e13,e12)
| ~ spl18_68 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f762,definition,
( spl18_69
<=> e12 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl18_69])],[avatar_definition]) ).
fof(f764,plain,
( e12 = op1(e13,e12)
| ~ spl18_69 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f766,definition,
( spl18_70
<=> e11 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl18_70])],[avatar_definition]) ).
fof(f768,plain,
( e11 = op1(e13,e12)
| ~ spl18_70 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f770,definition,
( spl18_71
<=> e10 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl18_71])],[avatar_definition]) ).
fof(f772,plain,
( e10 = op1(e13,e12)
| ~ spl18_71 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f775,definition,
( spl18_72
<=> e13 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl18_72])],[avatar_definition]) ).
fof(f777,plain,
( e13 = op1(e13,e11)
| ~ spl18_72 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f779,definition,
( spl18_73
<=> e12 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl18_73])],[avatar_definition]) ).
fof(f781,plain,
( e12 = op1(e13,e11)
| ~ spl18_73 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f783,definition,
( spl18_74
<=> e11 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl18_74])],[avatar_definition]) ).
fof(f785,plain,
( e11 = op1(e13,e11)
| ~ spl18_74 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f787,definition,
( spl18_75
<=> e10 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl18_75])],[avatar_definition]) ).
fof(f789,plain,
( e10 = op1(e13,e11)
| ~ spl18_75 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f792,definition,
( spl18_76
<=> e13 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl18_76])],[avatar_definition]) ).
fof(f793,plain,
( e13 != op1(e13,e10)
| spl18_76 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f794,plain,
( e13 = op1(e13,e10)
| ~ spl18_76 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f796,definition,
( spl18_77
<=> e12 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl18_77])],[avatar_definition]) ).
fof(f798,plain,
( e12 = op1(e13,e10)
| ~ spl18_77 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f800,definition,
( spl18_78
<=> e11 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl18_78])],[avatar_definition]) ).
fof(f802,plain,
( e11 = op1(e13,e10)
| ~ spl18_78 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f804,definition,
( spl18_79
<=> e10 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl18_79])],[avatar_definition]) ).
fof(f806,plain,
( e10 = op1(e13,e10)
| ~ spl18_79 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f807,plain,
( spl18_76
| spl18_77
| spl18_78
| spl18_79 ),
inference(avatar_split_clause,[],[f232,f804,f800,f796,f792]) ).
fof(f809,definition,
( spl18_80
<=> e13 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl18_80])],[avatar_definition]) ).
fof(f811,plain,
( e13 = op1(e12,e13)
| ~ spl18_80 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f813,definition,
( spl18_81
<=> e12 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl18_81])],[avatar_definition]) ).
fof(f815,plain,
( e12 = op1(e12,e13)
| ~ spl18_81 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f817,definition,
( spl18_82
<=> e11 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl18_82])],[avatar_definition]) ).
fof(f819,plain,
( e11 = op1(e12,e13)
| ~ spl18_82 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f826,definition,
( spl18_84
<=> e13 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl18_84])],[avatar_definition]) ).
fof(f828,plain,
( e13 = op1(e12,e12)
| ~ spl18_84 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f830,definition,
( spl18_85
<=> e12 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl18_85])],[avatar_definition]) ).
fof(f832,plain,
( e12 = op1(e12,e12)
| ~ spl18_85 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f834,definition,
( spl18_86
<=> e11 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl18_86])],[avatar_definition]) ).
fof(f836,plain,
( e11 = op1(e12,e12)
| ~ spl18_86 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f838,definition,
( spl18_87
<=> e10 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl18_87])],[avatar_definition]) ).
fof(f840,plain,
( e10 = op1(e12,e12)
| ~ spl18_87 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f843,definition,
( spl18_88
<=> e13 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl18_88])],[avatar_definition]) ).
fof(f845,plain,
( e13 = op1(e12,e11)
| ~ spl18_88 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f847,definition,
( spl18_89
<=> e12 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl18_89])],[avatar_definition]) ).
fof(f848,plain,
( e12 != op1(e12,e11)
| spl18_89 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f849,plain,
( e12 = op1(e12,e11)
| ~ spl18_89 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f851,definition,
( spl18_90
<=> e11 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl18_90])],[avatar_definition]) ).
fof(f853,plain,
( e11 = op1(e12,e11)
| ~ spl18_90 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f855,definition,
( spl18_91
<=> e10 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl18_91])],[avatar_definition]) ).
fof(f857,plain,
( e10 = op1(e12,e11)
| ~ spl18_91 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f860,definition,
( spl18_92
<=> e13 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl18_92])],[avatar_definition]) ).
fof(f862,plain,
( e13 = op1(e12,e10)
| ~ spl18_92 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f864,definition,
( spl18_93
<=> e12 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl18_93])],[avatar_definition]) ).
fof(f865,plain,
( e12 != op1(e12,e10)
| spl18_93 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f866,plain,
( e12 = op1(e12,e10)
| ~ spl18_93 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f868,definition,
( spl18_94
<=> e11 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl18_94])],[avatar_definition]) ).
fof(f870,plain,
( e11 = op1(e12,e10)
| ~ spl18_94 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f872,definition,
( spl18_95
<=> e10 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl18_95])],[avatar_definition]) ).
fof(f874,plain,
( e10 = op1(e12,e10)
| ~ spl18_95 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f877,definition,
( spl18_96
<=> e13 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl18_96])],[avatar_definition]) ).
fof(f879,plain,
( e13 = op1(e11,e13)
| ~ spl18_96 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f881,definition,
( spl18_97
<=> e12 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl18_97])],[avatar_definition]) ).
fof(f883,plain,
( e12 = op1(e11,e13)
| ~ spl18_97 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f885,definition,
( spl18_98
<=> e11 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl18_98])],[avatar_definition]) ).
fof(f887,plain,
( e11 = op1(e11,e13)
| ~ spl18_98 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f889,definition,
( spl18_99
<=> e10 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl18_99])],[avatar_definition]) ).
fof(f891,plain,
( e10 = op1(e11,e13)
| ~ spl18_99 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f898,definition,
( spl18_101
<=> e12 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl18_101])],[avatar_definition]) ).
fof(f900,plain,
( e12 = op1(e11,e12)
| ~ spl18_101 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f902,definition,
( spl18_102
<=> e11 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl18_102])],[avatar_definition]) ).
fof(f904,plain,
( e11 = op1(e11,e12)
| ~ spl18_102 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f906,definition,
( spl18_103
<=> e10 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl18_103])],[avatar_definition]) ).
fof(f908,plain,
( e10 = op1(e11,e12)
| ~ spl18_103 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f911,definition,
( spl18_104
<=> e13 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl18_104])],[avatar_definition]) ).
fof(f913,plain,
( e13 = op1(e11,e11)
| ~ spl18_104 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f915,definition,
( spl18_105
<=> e12 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl18_105])],[avatar_definition]) ).
fof(f917,plain,
( e12 = op1(e11,e11)
| ~ spl18_105 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f919,definition,
( spl18_106
<=> e11 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl18_106])],[avatar_definition]) ).
fof(f921,plain,
( e11 = op1(e11,e11)
| ~ spl18_106 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f923,definition,
( spl18_107
<=> e10 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl18_107])],[avatar_definition]) ).
fof(f925,plain,
( e10 = op1(e11,e11)
| ~ spl18_107 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f928,definition,
( spl18_108
<=> e13 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl18_108])],[avatar_definition]) ).
fof(f929,plain,
( e13 != op1(e11,e10)
| spl18_108 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f930,plain,
( e13 = op1(e11,e10)
| ~ spl18_108 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f932,definition,
( spl18_109
<=> e12 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl18_109])],[avatar_definition]) ).
fof(f934,plain,
( e12 = op1(e11,e10)
| ~ spl18_109 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f936,definition,
( spl18_110
<=> e11 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl18_110])],[avatar_definition]) ).
fof(f938,plain,
( e11 = op1(e11,e10)
| ~ spl18_110 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f940,definition,
( spl18_111
<=> e10 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl18_111])],[avatar_definition]) ).
fof(f942,plain,
( e10 = op1(e11,e10)
| ~ spl18_111 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f945,definition,
( spl18_112
<=> e13 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl18_112])],[avatar_definition]) ).
fof(f947,plain,
( e13 = op1(e10,e13)
| ~ spl18_112 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f949,definition,
( spl18_113
<=> e12 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl18_113])],[avatar_definition]) ).
fof(f951,plain,
( e12 = op1(e10,e13)
| ~ spl18_113 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f953,definition,
( spl18_114
<=> e11 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl18_114])],[avatar_definition]) ).
fof(f955,plain,
( e11 = op1(e10,e13)
| ~ spl18_114 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f957,definition,
( spl18_115
<=> e10 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl18_115])],[avatar_definition]) ).
fof(f958,plain,
( e10 != op1(e10,e13)
| spl18_115 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f959,plain,
( e10 = op1(e10,e13)
| ~ spl18_115 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f960,plain,
( spl18_112
| spl18_113
| spl18_114
| spl18_115 ),
inference(avatar_split_clause,[],[f241,f957,f953,f949,f945]) ).
fof(f962,definition,
( spl18_116
<=> e13 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl18_116])],[avatar_definition]) ).
fof(f964,plain,
( e13 = op1(e10,e12)
| ~ spl18_116 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f966,definition,
( spl18_117
<=> e12 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl18_117])],[avatar_definition]) ).
fof(f968,plain,
( e12 = op1(e10,e12)
| ~ spl18_117 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f970,definition,
( spl18_118
<=> e11 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl18_118])],[avatar_definition]) ).
fof(f972,plain,
( e11 = op1(e10,e12)
| ~ spl18_118 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f974,definition,
( spl18_119
<=> e10 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl18_119])],[avatar_definition]) ).
fof(f975,plain,
( e10 != op1(e10,e12)
| spl18_119 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f976,plain,
( e10 = op1(e10,e12)
| ~ spl18_119 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f979,definition,
( spl18_120
<=> e13 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl18_120])],[avatar_definition]) ).
fof(f981,plain,
( e13 = op1(e10,e11)
| ~ spl18_120 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f983,definition,
( spl18_121
<=> e12 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl18_121])],[avatar_definition]) ).
fof(f985,plain,
( e12 = op1(e10,e11)
| ~ spl18_121 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f987,definition,
( spl18_122
<=> e11 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl18_122])],[avatar_definition]) ).
fof(f989,plain,
( e11 = op1(e10,e11)
| ~ spl18_122 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f991,definition,
( spl18_123
<=> e10 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl18_123])],[avatar_definition]) ).
fof(f993,plain,
( e10 = op1(e10,e11)
| ~ spl18_123 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f994,plain,
( spl18_120
| spl18_121
| spl18_122
| spl18_123 ),
inference(avatar_split_clause,[],[f243,f991,f987,f983,f979]) ).
fof(f996,definition,
( spl18_124
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[spl18_124])],[avatar_definition]) ).
fof(f998,plain,
( op1(e10,e10) = e13
| ~ spl18_124 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f1000,definition,
( spl18_125
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[spl18_125])],[avatar_definition]) ).
fof(f1002,plain,
( op1(e10,e10) = e12
| ~ spl18_125 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1004,definition,
( spl18_126
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[spl18_126])],[avatar_definition]) ).
fof(f1006,plain,
( op1(e10,e10) = e11
| ~ spl18_126 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1008,definition,
( spl18_127
<=> e10 = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[spl18_127])],[avatar_definition]) ).
fof(f1009,plain,
( e10 != op1(e10,e10)
| spl18_127 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1010,plain,
( e10 = op1(e10,e10)
| ~ spl18_127 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1012,plain,
( spl18_64
| spl18_80
| spl18_96
| spl18_112 ),
inference(avatar_split_clause,[],[f197,f945,f877,f809,f741]) ).
fof(f1013,plain,
( spl18_64
| spl18_68
| spl18_72
| spl18_76 ),
inference(avatar_split_clause,[],[f198,f792,f775,f758,f741]) ).
fof(f1014,plain,
( spl18_65
| spl18_81
| spl18_97
| spl18_113 ),
inference(avatar_split_clause,[],[f199,f949,f881,f813,f745]) ).
fof(f1015,plain,
( spl18_65
| spl18_69
| spl18_73
| spl18_77 ),
inference(avatar_split_clause,[],[f200,f796,f779,f762,f745]) ).
fof(f1016,plain,
( spl18_66
| spl18_82
| spl18_98
| spl18_114 ),
inference(avatar_split_clause,[],[f201,f953,f885,f817,f749]) ).
fof(f1017,plain,
( spl18_66
| spl18_70
| spl18_74
| spl18_78 ),
inference(avatar_split_clause,[],[f202,f800,f783,f766,f749]) ).
fof(f1019,plain,
( spl18_67
| spl18_71
| spl18_75
| spl18_79 ),
inference(avatar_split_clause,[],[f204,f804,f787,f770,f753]) ).
fof(f1021,plain,
( spl18_80
| spl18_84
| spl18_88
| spl18_92 ),
inference(avatar_split_clause,[],[f206,f860,f843,f826,f809]) ).
fof(f1022,plain,
( spl18_69
| spl18_85
| spl18_101
| spl18_117 ),
inference(avatar_split_clause,[],[f207,f966,f898,f830,f762]) ).
fof(f1023,plain,
( spl18_81
| spl18_85
| spl18_89
| spl18_93 ),
inference(avatar_split_clause,[],[f208,f864,f847,f830,f813]) ).
fof(f1024,plain,
( spl18_70
| spl18_86
| spl18_102
| spl18_118 ),
inference(avatar_split_clause,[],[f209,f970,f902,f834,f766]) ).
fof(f1028,plain,
( spl18_72
| spl18_88
| spl18_104
| spl18_120 ),
inference(avatar_split_clause,[],[f213,f979,f911,f843,f775]) ).
fof(f1031,plain,
( spl18_97
| spl18_101
| spl18_105
| spl18_109 ),
inference(avatar_split_clause,[],[f216,f932,f915,f898,f881]) ).
fof(f1032,plain,
( spl18_74
| spl18_90
| spl18_106
| spl18_122 ),
inference(avatar_split_clause,[],[f217,f987,f919,f851,f783]) ).
fof(f1034,plain,
( spl18_75
| spl18_91
| spl18_107
| spl18_123 ),
inference(avatar_split_clause,[],[f219,f991,f923,f855,f787]) ).
fof(f1035,plain,
( spl18_99
| spl18_103
| spl18_107
| spl18_111 ),
inference(avatar_split_clause,[],[f220,f940,f923,f906,f889]) ).
fof(f1037,plain,
( spl18_112
| spl18_116
| spl18_120
| spl18_124 ),
inference(avatar_split_clause,[],[f222,f996,f979,f962,f945]) ).
fof(f1038,plain,
( spl18_77
| spl18_93
| spl18_109
| spl18_125 ),
inference(avatar_split_clause,[],[f223,f1000,f932,f864,f796]) ).
fof(f1039,plain,
( spl18_113
| spl18_117
| spl18_121
| spl18_125 ),
inference(avatar_split_clause,[],[f224,f1000,f983,f966,f949]) ).
fof(f1041,plain,
( spl18_114
| spl18_118
| spl18_122
| spl18_126 ),
inference(avatar_split_clause,[],[f226,f1004,f987,f970,f953]) ).
fof(f1042,plain,
( spl18_79
| spl18_95
| spl18_111
| spl18_127 ),
inference(avatar_split_clause,[],[f227,f1008,f940,f872,f804]) ).
fof(f1043,plain,
( spl18_115
| spl18_119
| spl18_123
| spl18_127 ),
inference(avatar_split_clause,[],[f228,f1008,f991,f974,f957]) ).
fof(f1045,definition,
( spl18_128
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl18_128])],[avatar_definition]) ).
fof(f1049,definition,
( spl18_129
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl18_129])],[avatar_definition]) ).
fof(f1053,definition,
( spl18_130
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl18_130])],[avatar_definition]) ).
fof(f1057,definition,
( spl18_131
<=> e13 = op1(e13,op1(e10,e13)) ),
introduced(definition,[new_symbols(definition,[spl18_131])],[avatar_definition]) ).
fof(f1059,plain,
( e13 = op1(e13,op1(e10,e13))
| ~ spl18_131 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1060,plain,
( spl18_128
| spl18_129
| spl18_130
| spl18_131 ),
inference(avatar_split_clause,[],[f145,f1057,f1053,f1049,f1045]) ).
fof(f1062,definition,
( spl18_132
<=> e12 = op1(e12,op1(e10,e12)) ),
introduced(definition,[new_symbols(definition,[spl18_132])],[avatar_definition]) ).
fof(f1064,plain,
( e12 = op1(e12,op1(e10,e12))
| ~ spl18_132 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1065,plain,
( spl18_128
| spl18_129
| spl18_130
| spl18_132 ),
inference(avatar_split_clause,[],[f146,f1062,f1053,f1049,f1045]) ).
fof(f1067,definition,
( spl18_133
<=> e11 = op1(e11,op1(e10,e11)) ),
introduced(definition,[new_symbols(definition,[spl18_133])],[avatar_definition]) ).
fof(f1069,plain,
( e11 = op1(e11,op1(e10,e11))
| ~ spl18_133 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1070,plain,
( spl18_128
| spl18_129
| spl18_130
| spl18_133 ),
inference(avatar_split_clause,[],[f147,f1067,f1053,f1049,f1045]) ).
fof(f1072,definition,
( spl18_134
<=> e10 = op1(e10,op1(e10,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_134])],[avatar_definition]) ).
fof(f1074,plain,
( e10 = op1(e10,op1(e10,e10))
| ~ spl18_134 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1075,plain,
( spl18_128
| spl18_129
| spl18_130
| spl18_134 ),
inference(avatar_split_clause,[],[f148,f1072,f1053,f1049,f1045]) ).
fof(f1077,definition,
( spl18_135
<=> e13 = op1(e13,op1(e13,e13)) ),
introduced(definition,[new_symbols(definition,[spl18_135])],[avatar_definition]) ).
fof(f1079,plain,
( e13 = op1(e13,op1(e13,e13))
| ~ spl18_135 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1080,plain,
( ~ spl18_128
| spl18_135 ),
inference(avatar_split_clause,[],[f141,f1077,f1045]) ).
fof(f1082,definition,
( spl18_136
<=> e12 = op1(e12,op1(e13,e12)) ),
introduced(definition,[new_symbols(definition,[spl18_136])],[avatar_definition]) ).
fof(f1084,plain,
( e12 = op1(e12,op1(e13,e12))
| ~ spl18_136 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f1085,plain,
( ~ spl18_128
| spl18_136 ),
inference(avatar_split_clause,[],[f142,f1082,f1045]) ).
fof(f1087,definition,
( spl18_137
<=> e11 = op1(e11,op1(e13,e11)) ),
introduced(definition,[new_symbols(definition,[spl18_137])],[avatar_definition]) ).
fof(f1089,plain,
( e11 = op1(e11,op1(e13,e11))
| ~ spl18_137 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f1090,plain,
( ~ spl18_128
| spl18_137 ),
inference(avatar_split_clause,[],[f143,f1087,f1045]) ).
fof(f1092,definition,
( spl18_138
<=> e10 = op1(e10,op1(e13,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_138])],[avatar_definition]) ).
fof(f1094,plain,
( e10 = op1(e10,op1(e13,e10))
| ~ spl18_138 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1095,plain,
( ~ spl18_128
| spl18_138 ),
inference(avatar_split_clause,[],[f144,f1092,f1045]) ).
fof(f1102,definition,
( spl18_140
<=> e12 = op1(e12,op1(e12,e12)) ),
introduced(definition,[new_symbols(definition,[spl18_140])],[avatar_definition]) ).
fof(f1104,plain,
( e12 = op1(e12,op1(e12,e12))
| ~ spl18_140 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1105,plain,
( ~ spl18_129
| spl18_140 ),
inference(avatar_split_clause,[],[f138,f1102,f1049]) ).
fof(f1112,definition,
( spl18_142
<=> e10 = op1(e10,op1(e12,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_142])],[avatar_definition]) ).
fof(f1113,plain,
( e10 != op1(e10,op1(e12,e10))
| spl18_142 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f1114,plain,
( e10 = op1(e10,op1(e12,e10))
| ~ spl18_142 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f1117,definition,
( spl18_143
<=> e13 = op1(e13,op1(e11,e13)) ),
introduced(definition,[new_symbols(definition,[spl18_143])],[avatar_definition]) ).
fof(f1118,plain,
( e13 != op1(e13,op1(e11,e13))
| spl18_143 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f1119,plain,
( e13 = op1(e13,op1(e11,e13))
| ~ spl18_143 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f1120,plain,
( ~ spl18_130
| spl18_143 ),
inference(avatar_split_clause,[],[f133,f1117,f1053]) ).
fof(f1122,definition,
( spl18_144
<=> e12 = op1(e12,op1(e11,e12)) ),
introduced(definition,[new_symbols(definition,[spl18_144])],[avatar_definition]) ).
fof(f1124,plain,
( e12 = op1(e12,op1(e11,e12))
| ~ spl18_144 ),
inference(avatar_component_clause,[],[f1122]) ).
fof(f1125,plain,
( ~ spl18_130
| spl18_144 ),
inference(avatar_split_clause,[],[f134,f1122,f1053]) ).
fof(f1127,definition,
( spl18_145
<=> e11 = op1(e11,op1(e11,e11)) ),
introduced(definition,[new_symbols(definition,[spl18_145])],[avatar_definition]) ).
fof(f1128,plain,
( e11 != op1(e11,op1(e11,e11))
| spl18_145 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1129,plain,
( e11 = op1(e11,op1(e11,e11))
| ~ spl18_145 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1130,plain,
( ~ spl18_130
| spl18_145 ),
inference(avatar_split_clause,[],[f135,f1127,f1053]) ).
fof(f1132,definition,
( spl18_146
<=> e10 = op1(e10,op1(e11,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_146])],[avatar_definition]) ).
fof(f1134,plain,
( e10 = op1(e10,op1(e11,e10))
| ~ spl18_146 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1135,plain,
( ~ spl18_130
| spl18_146 ),
inference(avatar_split_clause,[],[f136,f1132,f1053]) ).
fof(f1136,plain,
spl18_87,
inference(avatar_split_clause,[],[f132,f838]) ).
fof(f1148,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| 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)
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f119,f389]) ).
fof(f1164,definition,
( spl18_149
<=> e23 = h4(e11) ),
introduced(definition,[new_symbols(definition,[spl18_149])],[avatar_definition]) ).
fof(f1165,plain,
( e23 = h4(e11)
| ~ spl18_149 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f1189,definition,
( spl18_154
<=> e22 = h4(e10) ),
introduced(definition,[new_symbols(definition,[spl18_154])],[avatar_definition]) ).
fof(f1190,plain,
( e22 = h4(e10)
| ~ spl18_154 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f1209,definition,
( spl18_158
<=> e21 = h4(e10) ),
introduced(definition,[new_symbols(definition,[spl18_158])],[avatar_definition]) ).
fof(f1210,plain,
( e21 = h4(e10)
| ~ spl18_158 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f1229,definition,
( spl18_162
<=> e23 = h3(e10) ),
introduced(definition,[new_symbols(definition,[spl18_162])],[avatar_definition]) ).
fof(f1230,plain,
( e23 = h3(e10)
| ~ spl18_162 ),
inference(avatar_component_clause,[],[f1229]) ).
fof(f1249,definition,
( spl18_166
<=> e22 = h3(e10) ),
introduced(definition,[new_symbols(definition,[spl18_166])],[avatar_definition]) ).
fof(f1250,plain,
( e22 = h3(e10)
| ~ spl18_166 ),
inference(avatar_component_clause,[],[f1249]) ).
fof(f1264,definition,
( spl18_169
<=> e21 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl18_169])],[avatar_definition]) ).
fof(f1265,plain,
( e21 = h3(e11)
| ~ spl18_169 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f1269,definition,
( spl18_170
<=> e21 = h3(e10) ),
introduced(definition,[new_symbols(definition,[spl18_170])],[avatar_definition]) ).
fof(f1270,plain,
( e21 = h3(e10)
| ~ spl18_170 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f1274,definition,
( spl18_171
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl18_171])],[avatar_definition]) ).
fof(f1284,definition,
( spl18_173
<=> e23 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl18_173])],[avatar_definition]) ).
fof(f1285,plain,
( e23 = h2(e11)
| ~ spl18_173 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f1287,plain,
( ~ spl18_171
| ~ spl18_173 ),
inference(avatar_split_clause,[],[f82,f1284,f1274]) ).
fof(f1289,definition,
( spl18_174
<=> e23 = h2(e10) ),
introduced(definition,[new_symbols(definition,[spl18_174])],[avatar_definition]) ).
fof(f1294,definition,
( spl18_175
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl18_175])],[avatar_definition]) ).
fof(f1298,definition,
( spl18_176
<=> e22 = h2(e13) ),
introduced(definition,[new_symbols(definition,[spl18_176])],[avatar_definition]) ).
fof(f1299,plain,
( e22 = h2(e13)
| ~ spl18_176 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1301,plain,
( ~ spl18_175
| ~ spl18_176 ),
inference(avatar_split_clause,[],[f76,f1298,f1294]) ).
fof(f1309,definition,
( spl18_178
<=> e22 = h2(e10) ),
introduced(definition,[new_symbols(definition,[spl18_178])],[avatar_definition]) ).
fof(f1310,plain,
( e22 = h2(e10)
| ~ spl18_178 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f1314,definition,
( spl18_179
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl18_179])],[avatar_definition]) ).
fof(f1322,plain,
~ sP8,
inference(forward_subsumption_resolution,[],[f73,f389]) ).
fof(f1324,definition,
( spl18_181
<=> e21 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl18_181])],[avatar_definition]) ).
fof(f1325,plain,
( e21 = h2(e11)
| ~ spl18_181 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1329,definition,
( spl18_182
<=> e21 = h2(e10) ),
introduced(definition,[new_symbols(definition,[spl18_182])],[avatar_definition]) ).
fof(f1330,plain,
( e21 = h2(e10)
| ~ spl18_182 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f1349,definition,
( spl18_186
<=> e23 = h1(e10) ),
introduced(definition,[new_symbols(definition,[spl18_186])],[avatar_definition]) ).
fof(f1350,plain,
( e23 = h1(e10)
| ~ spl18_186 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f1369,definition,
( spl18_190
<=> e22 = h1(e10) ),
introduced(definition,[new_symbols(definition,[spl18_190])],[avatar_definition]) ).
fof(f1370,plain,
( e22 = h1(e10)
| ~ spl18_190 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f1389,definition,
( spl18_194
<=> e21 = h1(e10) ),
introduced(definition,[new_symbols(definition,[spl18_194])],[avatar_definition]) ).
fof(f1390,plain,
( e21 = h1(e10)
| ~ spl18_194 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f1399,plain,
( spl18_14
| spl18_26
| spl18_38
| spl18_154 ),
inference(avatar_split_clause,[],[f608,f1189,f559,f507,f455]) ).
fof(f1402,plain,
( spl18_3
| spl18_7
| spl18_11
| spl18_158 ),
inference(avatar_split_clause,[],[f611,f1209,f442,f425,f408]) ).
fof(f1404,definition,
( spl18_195
<=> e20 = h4(e10) ),
introduced(definition,[new_symbols(definition,[spl18_195])],[avatar_definition]) ).
fof(f1406,plain,
( e20 = h4(e10)
| ~ spl18_195 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f1407,plain,
( spl18_16
| spl18_28
| spl18_40
| spl18_195 ),
inference(avatar_split_clause,[],[f612,f1404,f567,f515,f463]) ).
fof(f1408,plain,
( spl18_4
| spl18_8
| spl18_12
| spl18_195 ),
inference(avatar_split_clause,[],[f613,f1404,f446,f429,f412]) ).
fof(f1409,plain,
( spl18_1
| spl18_29
| spl18_41
| spl18_162 ),
inference(avatar_split_clause,[],[f614,f1229,f572,f520,f400]) ).
fof(f1410,plain,
( spl18_13
| spl18_17
| spl18_21
| spl18_162 ),
inference(avatar_split_clause,[],[f615,f1229,f486,f469,f451]) ).
fof(f1411,plain,
( spl18_2
| spl18_30
| spl18_42
| spl18_166 ),
inference(avatar_split_clause,[],[f616,f1249,f576,f524,f404]) ).
fof(f1412,plain,
( spl18_14
| spl18_18
| spl18_22
| spl18_166 ),
inference(avatar_split_clause,[],[f617,f1249,f490,f473,f455]) ).
fof(f1413,plain,
( spl18_3
| spl18_31
| spl18_43
| spl18_170 ),
inference(avatar_split_clause,[],[f618,f1269,f580,f528,f408]) ).
fof(f1416,definition,
( spl18_196
<=> e20 = h3(e10) ),
introduced(definition,[new_symbols(definition,[spl18_196])],[avatar_definition]) ).
fof(f1417,plain,
( e20 != h3(e10)
| spl18_196 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1418,plain,
( e20 = h3(e10)
| ~ spl18_196 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1421,plain,
( spl18_5
| spl18_17
| spl18_45
| spl18_174 ),
inference(avatar_split_clause,[],[f622,f1289,f589,f469,f417]) ).
fof(f1423,plain,
( spl18_6
| spl18_18
| spl18_46
| spl18_178 ),
inference(avatar_split_clause,[],[f624,f1309,f593,f473,f421]) ).
fof(f1424,plain,
( spl18_26
| spl18_30
| spl18_34
| spl18_178 ),
inference(avatar_split_clause,[],[f625,f1309,f542,f524,f507]) ).
fof(f1425,plain,
( spl18_7
| spl18_19
| spl18_47
| spl18_182 ),
inference(avatar_split_clause,[],[f626,f1329,f597,f477,f425]) ).
fof(f1428,definition,
( spl18_197
<=> e20 = h2(e10) ),
introduced(definition,[new_symbols(definition,[spl18_197])],[avatar_definition]) ).
fof(f1430,plain,
( e20 = h2(e10)
| ~ spl18_197 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f1432,plain,
( spl18_28
| spl18_32
| spl18_36
| spl18_197 ),
inference(avatar_split_clause,[],[f629,f1428,f550,f532,f515]) ).
fof(f1434,plain,
( spl18_37
| spl18_41
| spl18_45
| spl18_186 ),
inference(avatar_split_clause,[],[f631,f1349,f589,f572,f555]) ).
fof(f1435,plain,
( spl18_10
| spl18_22
| spl18_34
| spl18_190 ),
inference(avatar_split_clause,[],[f632,f1369,f542,f490,f438]) ).
fof(f1436,plain,
( spl18_38
| spl18_42
| spl18_46
| spl18_190 ),
inference(avatar_split_clause,[],[f633,f1369,f593,f576,f559]) ).
fof(f1438,plain,
( spl18_39
| spl18_43
| spl18_47
| spl18_194 ),
inference(avatar_split_clause,[],[f635,f1389,f597,f580,f563]) ).
fof(f1440,definition,
( spl18_198
<=> e20 = h1(e10) ),
introduced(definition,[new_symbols(definition,[spl18_198])],[avatar_definition]) ).
fof(f1442,plain,
( e20 = h1(e10)
| ~ spl18_198 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f1443,plain,
( spl18_12
| spl18_24
| spl18_36
| spl18_198 ),
inference(avatar_split_clause,[],[f636,f1440,f550,f498,f446]) ).
fof(f1444,plain,
( spl18_40
| spl18_44
| spl18_48
| spl18_198 ),
inference(avatar_split_clause,[],[f637,f1440,f601,f584,f567]) ).
fof(f1446,definition,
( spl18_199
<=> e20 = h1(e11) ),
introduced(definition,[new_symbols(definition,[spl18_199])],[avatar_definition]) ).
fof(f1448,plain,
( e20 = h1(e11)
| ~ spl18_199 ),
inference(avatar_component_clause,[],[f1446]) ).
fof(f1449,plain,
( spl18_49
| spl18_50
| spl18_51
| spl18_199 ),
inference(avatar_split_clause,[],[f689,f1446,f671,f667,f663]) ).
fof(f1450,plain,
( ~ spl18_49
| spl18_149 ),
inference(avatar_split_clause,[],[f690,f1164,f663]) ).
fof(f1452,plain,
( ~ spl18_51
| spl18_181 ),
inference(avatar_split_clause,[],[f732,f1324,f671]) ).
fof(f1464,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e21)
| h2(op1(e10,e12)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| 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,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)
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1148,f389]) ).
fof(f1471,plain,
~ spl18_179,
inference(avatar_split_clause,[],[f1322,f1314]) ).
fof(f1487,plain,
( h2(op1(e12,e10)) != op2(e21,h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),e21)
| h2(op1(e10,e12)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| 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,e13)) != op2(h2(e11),h2(e13))
| 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)
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1464,f389]) ).
fof(f1507,plain,
( h2(op1(e12,e11)) != op2(e21,h2(e11))
| h2(op1(e12,e10)) != op2(e21,h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),e21)
| h2(op1(e10,e12)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| 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,e13)) != op2(h2(e11),h2(e13))
| 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)
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1487,f389]) ).
fof(f1527,plain,
( op2(e21,e21) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(e21,h2(e11))
| h2(op1(e12,e10)) != op2(e21,h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),e21)
| h2(op1(e10,e12)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| 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,e13)) != op2(h2(e11),h2(e13))
| 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)
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1507,f389]) ).
fof(f1543,plain,
( h2(e10) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(e21,h2(e11))
| h2(op1(e12,e10)) != op2(e21,h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),e21)
| h2(op1(e10,e12)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| 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,e13)) != op2(h2(e11),h2(e13))
| 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)
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1527,f388]) ).
fof(f1559,plain,
( h2(op1(e12,e13)) != op2(e21,h2(e13))
| h2(e10) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(e21,h2(e11))
| h2(op1(e12,e10)) != op2(e21,h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),e21)
| h2(op1(e10,e12)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| 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,e13)) != op2(h2(e11),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)
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1543,f389]) ).
fof(f1575,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e21)
| h2(op1(e12,e13)) != op2(e21,h2(e13))
| h2(e10) != h2(op1(e12,e12))
| h2(op1(e12,e11)) != op2(e21,h2(e11))
| h2(op1(e12,e10)) != op2(e21,h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),e21)
| h2(op1(e10,e12)) != op2(h2(e10),e21)
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| 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,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| e20 != h2(e10)
| sP8
| sP7
| sP6 ),
inference(forward_demodulation,[],[f1559,f389]) ).
fof(f1665,definition,
( spl18_219
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[spl18_219])],[avatar_definition]) ).
fof(f1667,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl18_219 ),
inference(avatar_component_clause,[],[f1665]) ).
fof(f1669,definition,
( spl18_220
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[spl18_220])],[avatar_definition]) ).
fof(f1670,plain,
( h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
| ~ spl18_220 ),
inference(avatar_component_clause,[],[f1669]) ).
fof(f1671,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl18_220 ),
inference(avatar_component_clause,[],[f1669]) ).
fof(f1673,definition,
( spl18_221
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(definition,[new_symbols(definition,[spl18_221])],[avatar_definition]) ).
fof(f1675,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl18_221 ),
inference(avatar_component_clause,[],[f1673]) ).
fof(f1677,definition,
( spl18_222
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(definition,[new_symbols(definition,[spl18_222])],[avatar_definition]) ).
fof(f1679,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl18_222 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f1681,definition,
( spl18_223
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[spl18_223])],[avatar_definition]) ).
fof(f1683,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl18_223 ),
inference(avatar_component_clause,[],[f1681]) ).
fof(f1685,definition,
( spl18_224
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(definition,[new_symbols(definition,[spl18_224])],[avatar_definition]) ).
fof(f1687,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl18_224 ),
inference(avatar_component_clause,[],[f1685]) ).
fof(f1689,definition,
( spl18_225
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[spl18_225])],[avatar_definition]) ).
fof(f1691,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl18_225 ),
inference(avatar_component_clause,[],[f1689]) ).
fof(f1693,definition,
( spl18_226
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(definition,[new_symbols(definition,[spl18_226])],[avatar_definition]) ).
fof(f1695,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl18_226 ),
inference(avatar_component_clause,[],[f1693]) ).
fof(f1697,definition,
( spl18_227
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(definition,[new_symbols(definition,[spl18_227])],[avatar_definition]) ).
fof(f1699,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl18_227 ),
inference(avatar_component_clause,[],[f1697]) ).
fof(f1701,definition,
( spl18_228
<=> h2(op1(e10,e12)) = op2(h2(e10),e21) ),
introduced(definition,[new_symbols(definition,[spl18_228])],[avatar_definition]) ).
fof(f1703,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e21)
| spl18_228 ),
inference(avatar_component_clause,[],[f1701]) ).
fof(f1705,definition,
( spl18_229
<=> h2(op1(e11,e12)) = op2(h2(e11),e21) ),
introduced(definition,[new_symbols(definition,[spl18_229])],[avatar_definition]) ).
fof(f1707,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e21)
| spl18_229 ),
inference(avatar_component_clause,[],[f1705]) ).
fof(f1709,definition,
( spl18_230
<=> h2(op1(e12,e10)) = op2(e21,h2(e10)) ),
introduced(definition,[new_symbols(definition,[spl18_230])],[avatar_definition]) ).
fof(f1711,plain,
( h2(op1(e12,e10)) != op2(e21,h2(e10))
| spl18_230 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f1713,definition,
( spl18_231
<=> h2(op1(e12,e11)) = op2(e21,h2(e11)) ),
introduced(definition,[new_symbols(definition,[spl18_231])],[avatar_definition]) ).
fof(f1715,plain,
( h2(op1(e12,e11)) != op2(e21,h2(e11))
| spl18_231 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f1717,definition,
( spl18_232
<=> h2(e10) = h2(op1(e12,e12)) ),
introduced(definition,[new_symbols(definition,[spl18_232])],[avatar_definition]) ).
fof(f1719,plain,
( h2(e10) != h2(op1(e12,e12))
| spl18_232 ),
inference(avatar_component_clause,[],[f1717]) ).
fof(f1721,definition,
( spl18_233
<=> h2(op1(e12,e13)) = op2(e21,h2(e13)) ),
introduced(definition,[new_symbols(definition,[spl18_233])],[avatar_definition]) ).
fof(f1723,plain,
( h2(op1(e12,e13)) != op2(e21,h2(e13))
| spl18_233 ),
inference(avatar_component_clause,[],[f1721]) ).
fof(f1725,definition,
( spl18_234
<=> h2(op1(e13,e12)) = op2(h2(e13),e21) ),
introduced(definition,[new_symbols(definition,[spl18_234])],[avatar_definition]) ).
fof(f1727,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e21)
| spl18_234 ),
inference(avatar_component_clause,[],[f1725]) ).
fof(f1735,plain,
( spl18_171
| spl18_175
| spl18_179
| ~ spl18_197
| ~ spl18_219
| ~ spl18_220
| ~ spl18_221
| ~ spl18_222
| ~ spl18_223
| ~ spl18_224
| ~ spl18_225
| ~ spl18_226
| ~ spl18_227
| ~ spl18_228
| ~ spl18_229
| ~ spl18_230
| ~ spl18_231
| ~ spl18_232
| ~ spl18_233
| ~ spl18_234 ),
inference(avatar_split_clause,[],[f1575,f1725,f1721,f1717,f1713,f1709,f1705,f1701,f1697,f1693,f1689,f1685,f1681,f1677,f1673,f1669,f1665,f1428,f1314,f1294,f1274]) ).
fof(f1885,plain,
( e22 = op2(e22,e22)
| ~ spl18_2
| ~ spl18_55 ),
inference(forward_demodulation,[],[f694,f406]) ).
fof(f1888,plain,
( e13 = op1(e13,e12)
| ~ spl18_113
| ~ spl18_131 ),
inference(forward_demodulation,[],[f1059,f951]) ).
fof(f1890,plain,
( e11 = op1(e11,e13)
| ~ spl18_120
| ~ spl18_133 ),
inference(forward_demodulation,[],[f1069,f981]) ).
fof(f1891,plain,
( e10 = op1(e10,e13)
| ~ spl18_124
| ~ spl18_134 ),
inference(forward_demodulation,[],[f1074,f998]) ).
fof(f1896,plain,
( e20 = e22
| ~ spl18_2
| ~ spl18_55 ),
inference(forward_demodulation,[],[f1885,f247]) ).
fof(f1899,plain,
( e12 = e13
| ~ spl18_69
| ~ spl18_113
| ~ spl18_131 ),
inference(forward_demodulation,[],[f1888,f764]) ).
fof(f1901,plain,
( $false
| ~ spl18_2
| ~ spl18_55 ),
inference(forward_subsumption_resolution,[],[f1896,f284]) ).
fof(f1902,plain,
( ~ spl18_2
| ~ spl18_55 ),
inference(avatar_contradiction_clause,[],[f1901]) ).
fof(f1903,plain,
( $false
| ~ spl18_69
| ~ spl18_113
| ~ spl18_131 ),
inference(forward_subsumption_resolution,[],[f1899,f124]) ).
fof(f1904,plain,
( ~ spl18_69
| ~ spl18_113
| ~ spl18_131 ),
inference(avatar_contradiction_clause,[],[f1903]) ).
fof(f1908,plain,
( e10 = e12
| ~ spl18_85
| ~ spl18_87 ),
inference(forward_demodulation,[],[f832,f840]) ).
fof(f1909,plain,
( e11 = e13
| ~ spl18_70
| ~ spl18_113
| ~ spl18_131 ),
inference(forward_demodulation,[],[f1888,f768]) ).
fof(f1912,plain,
( $false
| ~ spl18_85
| ~ spl18_87 ),
inference(forward_subsumption_resolution,[],[f1908,f128]) ).
fof(f1913,plain,
( ~ spl18_85
| ~ spl18_87 ),
inference(avatar_contradiction_clause,[],[f1912]) ).
fof(f1914,plain,
( $false
| ~ spl18_70
| ~ spl18_113
| ~ spl18_131 ),
inference(forward_subsumption_resolution,[],[f1909,f125]) ).
fof(f1915,plain,
( ~ spl18_70
| ~ spl18_113
| ~ spl18_131 ),
inference(avatar_contradiction_clause,[],[f1914]) ).
fof(f1921,plain,
( e10 = e11
| ~ spl18_86
| ~ spl18_87 ),
inference(forward_demodulation,[],[f836,f840]) ).
fof(f1924,plain,
( e20 = op2(e20,e20)
| ~ spl18_12
| ~ spl18_57 ),
inference(forward_demodulation,[],[f704,f448]) ).
fof(f1925,plain,
( $false
| ~ spl18_86
| ~ spl18_87 ),
inference(forward_subsumption_resolution,[],[f1921,f129]) ).
fof(f1926,plain,
( ~ spl18_86
| ~ spl18_87 ),
inference(avatar_contradiction_clause,[],[f1925]) ).
fof(f1928,plain,
( e20 = e21
| ~ spl18_3
| ~ spl18_4 ),
inference(superposition,[],[f414,f410]) ).
fof(f1932,plain,
( $false
| ~ spl18_3
| ~ spl18_4 ),
inference(forward_subsumption_resolution,[],[f1928,f285]) ).
fof(f1933,plain,
( ~ spl18_3
| ~ spl18_4 ),
inference(avatar_contradiction_clause,[],[f1932]) ).
fof(f1935,plain,
( e21 = e22
| ~ spl18_6
| ~ spl18_7 ),
inference(superposition,[],[f427,f423]) ).
fof(f1939,plain,
( $false
| ~ spl18_6
| ~ spl18_7 ),
inference(forward_subsumption_resolution,[],[f1935,f282]) ).
fof(f1940,plain,
( ~ spl18_6
| ~ spl18_7 ),
inference(avatar_contradiction_clause,[],[f1939]) ).
fof(f1964,plain,
( e22 = e23
| ~ spl18_17
| ~ spl18_18 ),
inference(superposition,[],[f475,f471]) ).
fof(f1968,plain,
( $false
| ~ spl18_17
| ~ spl18_18 ),
inference(forward_subsumption_resolution,[],[f1964,f280]) ).
fof(f1969,plain,
( ~ spl18_17
| ~ spl18_18 ),
inference(avatar_contradiction_clause,[],[f1968]) ).
fof(f1972,plain,
( e23 = op2(e23,e20)
| ~ spl18_16
| ~ spl18_58 ),
inference(forward_demodulation,[],[f709,f465]) ).
fof(f1973,plain,
( e21 = op2(e21,e23)
| ~ spl18_17
| ~ spl18_59 ),
inference(forward_demodulation,[],[f715,f471]) ).
fof(f1983,plain,
( e21 = op2(e21,e20)
| ~ spl18_8
| ~ spl18_56 ),
inference(forward_demodulation,[],[f699,f431]) ).
fof(f1987,plain,
( spl18_35
| ~ spl18_8
| ~ spl18_56 ),
inference(avatar_split_clause,[],[f1983,f697,f429,f546]) ).
fof(f2007,plain,
( e22 = op2(e22,e22)
| ~ spl18_30
| ~ spl18_62 ),
inference(forward_demodulation,[],[f730,f526]) ).
fof(f2013,plain,
( e20 = e22
| ~ spl18_30
| ~ spl18_62 ),
inference(forward_demodulation,[],[f2007,f247]) ).
fof(f2018,plain,
( $false
| ~ spl18_30
| ~ spl18_62 ),
inference(forward_subsumption_resolution,[],[f2013,f284]) ).
fof(f2019,plain,
( ~ spl18_30
| ~ spl18_62 ),
inference(avatar_contradiction_clause,[],[f2018]) ).
fof(f2026,plain,
( e20 = e22
| ~ spl18_42
| ~ spl18_44 ),
inference(forward_demodulation,[],[f578,f586]) ).
fof(f2028,plain,
( e22 = op2(e22,e21)
| ~ spl18_31
| ~ spl18_62 ),
inference(forward_demodulation,[],[f730,f530]) ).
fof(f2034,plain,
( $false
| ~ spl18_42
| ~ spl18_44 ),
inference(forward_subsumption_resolution,[],[f2026,f284]) ).
fof(f2035,plain,
( ~ spl18_42
| ~ spl18_44 ),
inference(avatar_contradiction_clause,[],[f2034]) ).
fof(f2045,plain,
( e20 = e22
| ~ spl18_26
| ~ spl18_28 ),
inference(forward_demodulation,[],[f509,f517]) ).
fof(f2050,plain,
( e20 = e21
| ~ spl18_47
| ~ spl18_48 ),
inference(forward_demodulation,[],[f599,f603]) ).
fof(f2051,plain,
( e20 = e21
| ~ spl18_17
| ~ spl18_28
| ~ spl18_59 ),
inference(forward_demodulation,[],[f1973,f517]) ).
fof(f2052,plain,
( e23 = op2(e23,e20)
| ~ spl18_28
| ~ spl18_61 ),
inference(forward_demodulation,[],[f725,f517]) ).
fof(f2056,plain,
( $false
| ~ spl18_26
| ~ spl18_28 ),
inference(forward_subsumption_resolution,[],[f2045,f284]) ).
fof(f2057,plain,
( ~ spl18_26
| ~ spl18_28 ),
inference(avatar_contradiction_clause,[],[f2056]) ).
fof(f2060,plain,
( $false
| ~ spl18_47
| ~ spl18_48 ),
inference(forward_subsumption_resolution,[],[f2050,f285]) ).
fof(f2061,plain,
( ~ spl18_47
| ~ spl18_48 ),
inference(avatar_contradiction_clause,[],[f2060]) ).
fof(f2062,plain,
( $false
| ~ spl18_17
| ~ spl18_28
| ~ spl18_59 ),
inference(forward_subsumption_resolution,[],[f2051,f285]) ).
fof(f2063,plain,
( ~ spl18_17
| ~ spl18_28
| ~ spl18_59 ),
inference(avatar_contradiction_clause,[],[f2062]) ).
fof(f2064,plain,
( e20 = e23
| ~ spl18_12
| ~ spl18_28
| ~ spl18_61 ),
inference(forward_demodulation,[],[f2052,f448]) ).
fof(f2068,plain,
( $false
| ~ spl18_12
| ~ spl18_28
| ~ spl18_61 ),
inference(forward_subsumption_resolution,[],[f2064,f283]) ).
fof(f2069,plain,
( ~ spl18_12
| ~ spl18_28
| ~ spl18_61 ),
inference(avatar_contradiction_clause,[],[f2068]) ).
fof(f2081,plain,
( spl18_27
| ~ spl18_17
| ~ spl18_59 ),
inference(avatar_split_clause,[],[f1973,f713,f469,f511]) ).
fof(f2083,plain,
( spl18_18
| ~ spl18_31
| ~ spl18_62 ),
inference(avatar_split_clause,[],[f2028,f728,f528,f473]) ).
fof(f2089,plain,
( e21 = op2(e21,e22)
| ~ spl18_18
| ~ spl18_59 ),
inference(forward_demodulation,[],[f715,f475]) ).
fof(f2102,plain,
( e22 = op2(e22,e20)
| ~ spl18_32
| ~ spl18_62 ),
inference(forward_demodulation,[],[f730,f534]) ).
fof(f2119,plain,
( e21 = e23
| ~ spl18_5
| ~ spl18_7 ),
inference(forward_demodulation,[],[f419,f427]) ).
fof(f2121,plain,
( $false
| ~ spl18_5
| ~ spl18_7 ),
inference(forward_subsumption_resolution,[],[f2119,f281]) ).
fof(f2122,plain,
( ~ spl18_5
| ~ spl18_7 ),
inference(avatar_contradiction_clause,[],[f2121]) ).
fof(f2123,plain,
( e21 = e22
| ~ spl18_154
| ~ spl18_158 ),
inference(superposition,[],[f1210,f1190]) ).
fof(f2127,plain,
( $false
| ~ spl18_154
| ~ spl18_158 ),
inference(forward_subsumption_resolution,[],[f2123,f282]) ).
fof(f2128,plain,
( ~ spl18_154
| ~ spl18_158 ),
inference(avatar_contradiction_clause,[],[f2127]) ).
fof(f2160,plain,
( e21 = e22
| ~ spl18_22
| ~ spl18_23 ),
inference(superposition,[],[f496,f492]) ).
fof(f2164,plain,
( $false
| ~ spl18_22
| ~ spl18_23 ),
inference(forward_subsumption_resolution,[],[f2160,f282]) ).
fof(f2165,plain,
( ~ spl18_22
| ~ spl18_23 ),
inference(avatar_contradiction_clause,[],[f2164]) ).
fof(f2169,plain,
( e21 = e22
| ~ spl18_178
| ~ spl18_182 ),
inference(forward_demodulation,[],[f1310,f1330]) ).
fof(f2172,plain,
( $false
| ~ spl18_178
| ~ spl18_182 ),
inference(forward_subsumption_resolution,[],[f2169,f282]) ).
fof(f2173,plain,
( ~ spl18_178
| ~ spl18_182 ),
inference(avatar_contradiction_clause,[],[f2172]) ).
fof(f2176,plain,
( e20 = e21
| ~ spl18_23
| ~ spl18_24 ),
inference(forward_demodulation,[],[f496,f500]) ).
fof(f2180,plain,
( $false
| ~ spl18_23
| ~ spl18_24 ),
inference(forward_subsumption_resolution,[],[f2176,f285]) ).
fof(f2181,plain,
( ~ spl18_23
| ~ spl18_24 ),
inference(avatar_contradiction_clause,[],[f2180]) ).
fof(f2186,plain,
( $false
| spl18_22
| ~ spl18_32
| ~ spl18_62 ),
inference(forward_subsumption_resolution,[],[f2102,f491]) ).
fof(f2187,plain,
( spl18_22
| ~ spl18_32
| ~ spl18_62 ),
inference(avatar_contradiction_clause,[],[f2186]) ).
fof(f2212,plain,
( e22 = e23
| ~ spl18_186
| ~ spl18_190 ),
inference(superposition,[],[f1370,f1350]) ).
fof(f2216,plain,
( $false
| ~ spl18_186
| ~ spl18_190 ),
inference(forward_subsumption_resolution,[],[f2212,f280]) ).
fof(f2217,plain,
( ~ spl18_186
| ~ spl18_190 ),
inference(avatar_contradiction_clause,[],[f2216]) ).
fof(f2219,plain,
( e20 = e23
| ~ spl18_162
| ~ spl18_196 ),
inference(superposition,[],[f1418,f1230]) ).
fof(f2223,plain,
( $false
| ~ spl18_162
| ~ spl18_196 ),
inference(forward_subsumption_resolution,[],[f2219,f283]) ).
fof(f2224,plain,
( ~ spl18_162
| ~ spl18_196 ),
inference(avatar_contradiction_clause,[],[f2223]) ).
fof(f2225,plain,
( e21 = e23
| ~ spl18_21
| ~ spl18_23 ),
inference(forward_demodulation,[],[f488,f496]) ).
fof(f2230,plain,
( $false
| ~ spl18_21
| ~ spl18_23 ),
inference(forward_subsumption_resolution,[],[f2225,f281]) ).
fof(f2231,plain,
( ~ spl18_21
| ~ spl18_23 ),
inference(avatar_contradiction_clause,[],[f2230]) ).
fof(f2233,plain,
( e20 = e21
| ~ spl18_170
| ~ spl18_196 ),
inference(forward_demodulation,[],[f1270,f1418]) ).
fof(f2234,plain,
( $false
| ~ spl18_170
| ~ spl18_196 ),
inference(forward_subsumption_resolution,[],[f2233,f285]) ).
fof(f2235,plain,
( ~ spl18_170
| ~ spl18_196 ),
inference(avatar_contradiction_clause,[],[f2234]) ).
fof(f2242,plain,
( e20 = e22
| ~ spl18_178
| ~ spl18_197 ),
inference(superposition,[],[f1430,f1310]) ).
fof(f2248,plain,
( $false
| ~ spl18_178
| ~ spl18_197 ),
inference(forward_subsumption_resolution,[],[f2242,f284]) ).
fof(f2249,plain,
( ~ spl18_178
| ~ spl18_197 ),
inference(avatar_contradiction_clause,[],[f2248]) ).
fof(f2278,plain,
( e22 = e23
| ~ spl18_37
| ~ spl18_38 ),
inference(forward_demodulation,[],[f557,f561]) ).
fof(f2283,plain,
( $false
| ~ spl18_37
| ~ spl18_38 ),
inference(forward_subsumption_resolution,[],[f2278,f280]) ).
fof(f2284,plain,
( ~ spl18_37
| ~ spl18_38 ),
inference(avatar_contradiction_clause,[],[f2283]) ).
fof(f2294,plain,
( e21 = e23
| ~ spl18_37
| ~ spl18_39 ),
inference(forward_demodulation,[],[f557,f565]) ).
fof(f2301,plain,
( $false
| ~ spl18_37
| ~ spl18_39 ),
inference(forward_subsumption_resolution,[],[f2294,f281]) ).
fof(f2302,plain,
( ~ spl18_37
| ~ spl18_39 ),
inference(avatar_contradiction_clause,[],[f2301]) ).
fof(f2317,plain,
( e20 = e23
| ~ spl18_186
| ~ spl18_198 ),
inference(superposition,[],[f1442,f1350]) ).
fof(f2321,plain,
( $false
| ~ spl18_186
| ~ spl18_198 ),
inference(forward_subsumption_resolution,[],[f2317,f283]) ).
fof(f2322,plain,
( ~ spl18_186
| ~ spl18_198 ),
inference(avatar_contradiction_clause,[],[f2321]) ).
fof(f2331,plain,
( e21 = e23
| ~ spl18_1
| ~ spl18_3 ),
inference(forward_demodulation,[],[f402,f410]) ).
fof(f2333,plain,
( e20 = e21
| ~ spl18_27
| ~ spl18_28 ),
inference(forward_demodulation,[],[f513,f517]) ).
fof(f2336,plain,
( e20 = e21
| ~ spl18_43
| ~ spl18_44 ),
inference(forward_demodulation,[],[f582,f586]) ).
fof(f2343,plain,
( $false
| ~ spl18_1
| ~ spl18_3 ),
inference(forward_subsumption_resolution,[],[f2331,f281]) ).
fof(f2344,plain,
( ~ spl18_1
| ~ spl18_3 ),
inference(avatar_contradiction_clause,[],[f2343]) ).
fof(f2345,plain,
( $false
| ~ spl18_27
| ~ spl18_28 ),
inference(forward_subsumption_resolution,[],[f2333,f285]) ).
fof(f2346,plain,
( ~ spl18_27
| ~ spl18_28 ),
inference(avatar_contradiction_clause,[],[f2345]) ).
fof(f2349,plain,
( $false
| ~ spl18_43
| ~ spl18_44 ),
inference(forward_subsumption_resolution,[],[f2336,f285]) ).
fof(f2350,plain,
( ~ spl18_43
| ~ spl18_44 ),
inference(avatar_contradiction_clause,[],[f2349]) ).
fof(f2358,plain,
( e20 = e21
| ~ spl18_39
| ~ spl18_40 ),
inference(forward_demodulation,[],[f565,f569]) ).
fof(f2364,plain,
( $false
| ~ spl18_39
| ~ spl18_40 ),
inference(forward_subsumption_resolution,[],[f2358,f285]) ).
fof(f2365,plain,
( ~ spl18_39
| ~ spl18_40 ),
inference(avatar_contradiction_clause,[],[f2364]) ).
fof(f2371,plain,
( e20 = e22
| ~ spl18_30
| ~ spl18_32 ),
inference(superposition,[],[f534,f526]) ).
fof(f2375,plain,
( $false
| ~ spl18_30
| ~ spl18_32 ),
inference(forward_subsumption_resolution,[],[f2371,f284]) ).
fof(f2376,plain,
( ~ spl18_30
| ~ spl18_32 ),
inference(avatar_contradiction_clause,[],[f2375]) ).
fof(f2389,plain,
( e22 = e23
| ~ spl18_41
| ~ spl18_42 ),
inference(superposition,[],[f578,f574]) ).
fof(f2390,plain,
( e22 = e23
| ~ spl18_41
| ~ spl18_42 ),
inference(superposition,[],[f574,f578]) ).
fof(f2391,plain,
( $false
| ~ spl18_41
| ~ spl18_42 ),
inference(forward_subsumption_resolution,[],[f2390,f280]) ).
fof(f2392,plain,
( ~ spl18_41
| ~ spl18_42 ),
inference(avatar_contradiction_clause,[],[f2391]) ).
fof(f2393,plain,
( $false
| ~ spl18_41
| ~ spl18_42 ),
inference(forward_subsumption_resolution,[],[f2389,f280]) ).
fof(f2394,plain,
( ~ spl18_41
| ~ spl18_42 ),
inference(avatar_contradiction_clause,[],[f2393]) ).
fof(f2417,plain,
( e20 = op2(e20,e21)
| ~ spl18_23
| ~ spl18_60 ),
inference(forward_demodulation,[],[f720,f496]) ).
fof(f2418,plain,
( e20 = e22
| ~ spl18_46
| ~ spl18_48 ),
inference(superposition,[],[f603,f595]) ).
fof(f2422,plain,
( $false
| ~ spl18_46
| ~ spl18_48 ),
inference(forward_subsumption_resolution,[],[f2418,f284]) ).
fof(f2423,plain,
( ~ spl18_46
| ~ spl18_48 ),
inference(avatar_contradiction_clause,[],[f2422]) ).
fof(f2427,plain,
( e11 = e12
| ~ spl18_73
| ~ spl18_74 ),
inference(superposition,[],[f785,f781]) ).
fof(f2428,plain,
( e11 = e12
| ~ spl18_73
| ~ spl18_74 ),
inference(superposition,[],[f781,f785]) ).
fof(f2429,plain,
( $false
| ~ spl18_73
| ~ spl18_74 ),
inference(forward_subsumption_resolution,[],[f2428,f126]) ).
fof(f2430,plain,
( ~ spl18_73
| ~ spl18_74 ),
inference(avatar_contradiction_clause,[],[f2429]) ).
fof(f2431,plain,
( $false
| ~ spl18_73
| ~ spl18_74 ),
inference(forward_subsumption_resolution,[],[f2427,f126]) ).
fof(f2432,plain,
( ~ spl18_73
| ~ spl18_74 ),
inference(avatar_contradiction_clause,[],[f2431]) ).
fof(f2434,plain,
( e10 = e11
| ~ spl18_74
| ~ spl18_75 ),
inference(superposition,[],[f789,f785]) ).
fof(f2438,plain,
( $false
| ~ spl18_74
| ~ spl18_75 ),
inference(forward_subsumption_resolution,[],[f2434,f129]) ).
fof(f2439,plain,
( ~ spl18_74
| ~ spl18_75 ),
inference(avatar_contradiction_clause,[],[f2438]) ).
fof(f2455,plain,
( e12 = e13
| ~ spl18_112
| ~ spl18_113 ),
inference(forward_demodulation,[],[f947,f951]) ).
fof(f2458,plain,
( $false
| ~ spl18_112
| ~ spl18_113 ),
inference(forward_subsumption_resolution,[],[f2455,f124]) ).
fof(f2459,plain,
( ~ spl18_112
| ~ spl18_113 ),
inference(avatar_contradiction_clause,[],[f2458]) ).
fof(f2463,plain,
( e10 = e12
| ~ spl18_77
| ~ spl18_79 ),
inference(forward_demodulation,[],[f798,f806]) ).
fof(f2468,plain,
( $false
| ~ spl18_77
| ~ spl18_79 ),
inference(forward_subsumption_resolution,[],[f2463,f128]) ).
fof(f2469,plain,
( ~ spl18_77
| ~ spl18_79 ),
inference(avatar_contradiction_clause,[],[f2468]) ).
fof(f2480,plain,
( e11 = e13
| ~ spl18_96
| ~ spl18_98 ),
inference(forward_demodulation,[],[f879,f887]) ).
fof(f2482,plain,
( $false
| ~ spl18_96
| ~ spl18_98 ),
inference(forward_subsumption_resolution,[],[f2480,f125]) ).
fof(f2483,plain,
( ~ spl18_96
| ~ spl18_98 ),
inference(avatar_contradiction_clause,[],[f2482]) ).
fof(f2485,plain,
( e12 = e13
| ~ spl18_80
| ~ spl18_81 ),
inference(forward_demodulation,[],[f811,f815]) ).
fof(f2487,plain,
( $false
| ~ spl18_80
| ~ spl18_81 ),
inference(forward_subsumption_resolution,[],[f2485,f124]) ).
fof(f2488,plain,
( ~ spl18_80
| ~ spl18_81 ),
inference(avatar_contradiction_clause,[],[f2487]) ).
fof(f2491,plain,
( e11 = e13
| ~ spl18_80
| ~ spl18_82 ),
inference(forward_demodulation,[],[f811,f819]) ).
fof(f2494,plain,
( $false
| ~ spl18_80
| ~ spl18_82 ),
inference(forward_subsumption_resolution,[],[f2491,f125]) ).
fof(f2495,plain,
( ~ spl18_80
| ~ spl18_82 ),
inference(avatar_contradiction_clause,[],[f2494]) ).
fof(f2509,plain,
( e11 = e12
| ~ spl18_93
| ~ spl18_94 ),
inference(superposition,[],[f870,f866]) ).
fof(f2513,plain,
( $false
| ~ spl18_93
| ~ spl18_94 ),
inference(forward_subsumption_resolution,[],[f2509,f126]) ).
fof(f2514,plain,
( ~ spl18_93
| ~ spl18_94 ),
inference(avatar_contradiction_clause,[],[f2513]) ).
fof(f2516,plain,
( e11 = e13
| ~ spl18_88
| ~ spl18_90 ),
inference(superposition,[],[f853,f845]) ).
fof(f2520,plain,
( $false
| ~ spl18_88
| ~ spl18_90 ),
inference(forward_subsumption_resolution,[],[f2516,f125]) ).
fof(f2521,plain,
( ~ spl18_88
| ~ spl18_90 ),
inference(avatar_contradiction_clause,[],[f2520]) ).
fof(f2523,plain,
( e10 = e11
| ~ spl18_98
| ~ spl18_99 ),
inference(superposition,[],[f891,f887]) ).
fof(f2527,plain,
( $false
| ~ spl18_98
| ~ spl18_99 ),
inference(forward_subsumption_resolution,[],[f2523,f129]) ).
fof(f2528,plain,
( ~ spl18_98
| ~ spl18_99 ),
inference(avatar_contradiction_clause,[],[f2527]) ).
fof(f2542,plain,
( e11 = e12
| ~ spl18_101
| ~ spl18_102 ),
inference(superposition,[],[f904,f900]) ).
fof(f2546,plain,
( $false
| ~ spl18_101
| ~ spl18_102 ),
inference(forward_subsumption_resolution,[],[f2542,f126]) ).
fof(f2547,plain,
( ~ spl18_101
| ~ spl18_102 ),
inference(avatar_contradiction_clause,[],[f2546]) ).
fof(f2550,plain,
( e13 = op1(e13,e11)
| ~ spl18_114
| ~ spl18_131 ),
inference(forward_demodulation,[],[f1059,f955]) ).
fof(f2552,plain,
( e11 = e13
| ~ spl18_74
| ~ spl18_114
| ~ spl18_131 ),
inference(forward_demodulation,[],[f2550,f785]) ).
fof(f2553,plain,
( $false
| ~ spl18_74
| ~ spl18_114
| ~ spl18_131 ),
inference(forward_subsumption_resolution,[],[f2552,f125]) ).
fof(f2554,plain,
( ~ spl18_74
| ~ spl18_114
| ~ spl18_131 ),
inference(avatar_contradiction_clause,[],[f2553]) ).
fof(f2565,plain,
( e10 = e12
| ~ spl18_65
| ~ spl18_67 ),
inference(superposition,[],[f755,f747]) ).
fof(f2566,plain,
( e10 = e12
| ~ spl18_65
| ~ spl18_67 ),
inference(superposition,[],[f747,f755]) ).
fof(f2568,plain,
( $false
| ~ spl18_65
| ~ spl18_67 ),
inference(forward_subsumption_resolution,[],[f2566,f128]) ).
fof(f2569,plain,
( ~ spl18_65
| ~ spl18_67 ),
inference(avatar_contradiction_clause,[],[f2568]) ).
fof(f2570,plain,
( $false
| ~ spl18_65
| ~ spl18_67 ),
inference(forward_subsumption_resolution,[],[f2565,f128]) ).
fof(f2571,plain,
( ~ spl18_65
| ~ spl18_67 ),
inference(avatar_contradiction_clause,[],[f2570]) ).
fof(f2573,plain,
( e11 = e13
| ~ spl18_68
| ~ spl18_70 ),
inference(superposition,[],[f768,f760]) ).
fof(f2574,plain,
( e11 = e13
| ~ spl18_68
| ~ spl18_70 ),
inference(superposition,[],[f760,f768]) ).
fof(f2575,plain,
( $false
| ~ spl18_68
| ~ spl18_70 ),
inference(forward_subsumption_resolution,[],[f2574,f125]) ).
fof(f2576,plain,
( ~ spl18_68
| ~ spl18_70 ),
inference(avatar_contradiction_clause,[],[f2575]) ).
fof(f2577,plain,
( $false
| ~ spl18_68
| ~ spl18_70 ),
inference(forward_subsumption_resolution,[],[f2573,f125]) ).
fof(f2578,plain,
( ~ spl18_68
| ~ spl18_70 ),
inference(avatar_contradiction_clause,[],[f2577]) ).
fof(f2587,plain,
( spl18_98
| ~ spl18_120
| ~ spl18_133 ),
inference(avatar_split_clause,[],[f1890,f1067,f979,f885]) ).
fof(f2597,plain,
( e10 = e13
| ~ spl18_68
| ~ spl18_71 ),
inference(forward_demodulation,[],[f760,f772]) ).
fof(f2602,plain,
( e11 = op1(e11,e11)
| ~ spl18_122
| ~ spl18_133 ),
inference(forward_demodulation,[],[f1069,f989]) ).
fof(f2605,plain,
( $false
| ~ spl18_68
| ~ spl18_71 ),
inference(forward_subsumption_resolution,[],[f2597,f127]) ).
fof(f2606,plain,
( ~ spl18_68
| ~ spl18_71 ),
inference(avatar_contradiction_clause,[],[f2605]) ).
fof(f2609,plain,
( e10 = e11
| ~ spl18_107
| ~ spl18_122
| ~ spl18_133 ),
inference(forward_demodulation,[],[f2602,f925]) ).
fof(f2611,plain,
( $false
| ~ spl18_107
| ~ spl18_122
| ~ spl18_133 ),
inference(forward_subsumption_resolution,[],[f2609,f129]) ).
fof(f2612,plain,
( ~ spl18_107
| ~ spl18_122
| ~ spl18_133 ),
inference(avatar_contradiction_clause,[],[f2611]) ).
fof(f2616,plain,
( spl18_106
| ~ spl18_122
| ~ spl18_133 ),
inference(avatar_split_clause,[],[f2602,f1067,f987,f919]) ).
fof(f2620,plain,
( e11 = e12
| ~ spl18_65
| ~ spl18_66 ),
inference(superposition,[],[f747,f751]) ).
fof(f2622,plain,
( $false
| ~ spl18_65
| ~ spl18_66 ),
inference(forward_subsumption_resolution,[],[f2620,f126]) ).
fof(f2623,plain,
( ~ spl18_65
| ~ spl18_66 ),
inference(avatar_contradiction_clause,[],[f2622]) ).
fof(f2628,plain,
( e10 = e12
| ~ spl18_113
| ~ spl18_115 ),
inference(forward_demodulation,[],[f951,f959]) ).
fof(f2632,plain,
( $false
| ~ spl18_113
| ~ spl18_115 ),
inference(forward_subsumption_resolution,[],[f2628,f128]) ).
fof(f2633,plain,
( ~ spl18_113
| ~ spl18_115 ),
inference(avatar_contradiction_clause,[],[f2632]) ).
fof(f2635,plain,
( $false
| spl18_115
| ~ spl18_124
| ~ spl18_134 ),
inference(forward_subsumption_resolution,[],[f1891,f958]) ).
fof(f2636,plain,
( spl18_115
| ~ spl18_124
| ~ spl18_134 ),
inference(avatar_contradiction_clause,[],[f2635]) ).
fof(f2639,plain,
( e10 = e13
| ~ spl18_75
| ~ spl18_114
| ~ spl18_131 ),
inference(forward_demodulation,[],[f2550,f789]) ).
fof(f2643,plain,
( $false
| ~ spl18_75
| ~ spl18_114
| ~ spl18_131 ),
inference(forward_subsumption_resolution,[],[f2639,f127]) ).
fof(f2644,plain,
( ~ spl18_75
| ~ spl18_114
| ~ spl18_131 ),
inference(avatar_contradiction_clause,[],[f2643]) ).
fof(f2655,plain,
( e11 = e13
| ~ spl18_76
| ~ spl18_78 ),
inference(superposition,[],[f802,f794]) ).
fof(f2659,plain,
( $false
| ~ spl18_76
| ~ spl18_78 ),
inference(forward_subsumption_resolution,[],[f2655,f125]) ).
fof(f2660,plain,
( ~ spl18_76
| ~ spl18_78 ),
inference(avatar_contradiction_clause,[],[f2659]) ).
fof(f2668,plain,
( e13 = op1(e13,e12)
| ~ spl18_65
| ~ spl18_135 ),
inference(forward_demodulation,[],[f1079,f747]) ).
fof(f2671,plain,
( e10 = op1(e10,e11)
| ~ spl18_78
| ~ spl18_138 ),
inference(forward_demodulation,[],[f1094,f802]) ).
fof(f2675,plain,
( spl18_123
| ~ spl18_78
| ~ spl18_138 ),
inference(avatar_split_clause,[],[f2671,f1092,f800,f991]) ).
fof(f2678,plain,
( e11 = e12
| ~ spl18_140 ),
inference(forward_demodulation,[],[f1104,f131]) ).
fof(f2683,plain,
( $false
| ~ spl18_140 ),
inference(forward_subsumption_resolution,[],[f2678,f126]) ).
fof(f2684,plain,
~ spl18_140,
inference(avatar_contradiction_clause,[],[f2683]) ).
fof(f2687,plain,
( e11 = e12
| ~ spl18_89
| ~ spl18_90 ),
inference(forward_demodulation,[],[f849,f853]) ).
fof(f2690,plain,
( e13 = op1(e13,e11)
| ~ spl18_98
| ~ spl18_143 ),
inference(forward_demodulation,[],[f1119,f887]) ).
fof(f2691,plain,
( e12 = op1(e12,e12)
| ~ spl18_101
| ~ spl18_144 ),
inference(forward_demodulation,[],[f1124,f900]) ).
fof(f2693,plain,
( e10 = op1(e10,e13)
| ~ spl18_108
| ~ spl18_146 ),
inference(forward_demodulation,[],[f1134,f930]) ).
fof(f2696,plain,
( e10 = op1(e10,e10)
| ~ spl18_95
| ~ spl18_142 ),
inference(forward_demodulation,[],[f1114,f874]) ).
fof(f2697,plain,
( $false
| ~ spl18_89
| ~ spl18_90 ),
inference(forward_subsumption_resolution,[],[f2687,f126]) ).
fof(f2698,plain,
( ~ spl18_89
| ~ spl18_90 ),
inference(avatar_contradiction_clause,[],[f2697]) ).
fof(f2699,plain,
( e10 = e13
| ~ spl18_75
| ~ spl18_98
| ~ spl18_143 ),
inference(forward_demodulation,[],[f2690,f789]) ).
fof(f2700,plain,
( e10 = e12
| ~ spl18_87
| ~ spl18_101
| ~ spl18_144 ),
inference(forward_demodulation,[],[f2691,f840]) ).
fof(f2701,plain,
( $false
| ~ spl18_75
| ~ spl18_98
| ~ spl18_143 ),
inference(forward_subsumption_resolution,[],[f2699,f127]) ).
fof(f2702,plain,
( ~ spl18_75
| ~ spl18_98
| ~ spl18_143 ),
inference(avatar_contradiction_clause,[],[f2701]) ).
fof(f2703,plain,
( $false
| ~ spl18_87
| ~ spl18_101
| ~ spl18_144 ),
inference(forward_subsumption_resolution,[],[f2700,f128]) ).
fof(f2704,plain,
( ~ spl18_87
| ~ spl18_101
| ~ spl18_144 ),
inference(avatar_contradiction_clause,[],[f2703]) ).
fof(f2709,plain,
( e11 = e12
| ~ spl18_97
| ~ spl18_98 ),
inference(forward_demodulation,[],[f883,f887]) ).
fof(f2711,plain,
( e13 = op1(e13,e10)
| ~ spl18_115
| ~ spl18_131 ),
inference(forward_demodulation,[],[f1059,f959]) ).
fof(f2717,plain,
( e10 = op1(e10,e12)
| ~ spl18_77
| ~ spl18_138 ),
inference(forward_demodulation,[],[f1094,f798]) ).
fof(f2727,plain,
( $false
| ~ spl18_97
| ~ spl18_98 ),
inference(forward_subsumption_resolution,[],[f2709,f126]) ).
fof(f2728,plain,
( ~ spl18_97
| ~ spl18_98 ),
inference(avatar_contradiction_clause,[],[f2727]) ).
fof(f2729,plain,
( e12 = e13
| ~ spl18_77
| ~ spl18_115
| ~ spl18_131 ),
inference(forward_demodulation,[],[f2711,f798]) ).
fof(f2735,plain,
( $false
| ~ spl18_77
| spl18_119
| ~ spl18_138 ),
inference(forward_subsumption_resolution,[],[f2717,f975]) ).
fof(f2736,plain,
( ~ spl18_77
| spl18_119
| ~ spl18_138 ),
inference(avatar_contradiction_clause,[],[f2735]) ).
fof(f2742,plain,
( $false
| ~ spl18_77
| ~ spl18_115
| ~ spl18_131 ),
inference(forward_subsumption_resolution,[],[f2729,f124]) ).
fof(f2743,plain,
( ~ spl18_77
| ~ spl18_115
| ~ spl18_131 ),
inference(avatar_contradiction_clause,[],[f2742]) ).
fof(f2772,plain,
( e11 = op1(e11,e12)
| ~ spl18_105
| ~ spl18_145 ),
inference(forward_demodulation,[],[f1129,f917]) ).
fof(f2774,plain,
( spl18_102
| ~ spl18_105
| ~ spl18_145 ),
inference(avatar_split_clause,[],[f2772,f1127,f915,f902]) ).
fof(f2802,plain,
( e12 = op1(e12,e12)
| ~ spl18_69
| ~ spl18_136 ),
inference(forward_demodulation,[],[f1084,f764]) ).
fof(f2808,plain,
( e10 = e12
| ~ spl18_69
| ~ spl18_87
| ~ spl18_136 ),
inference(forward_demodulation,[],[f2802,f840]) ).
fof(f2813,plain,
( $false
| ~ spl18_69
| ~ spl18_87
| ~ spl18_136 ),
inference(forward_subsumption_resolution,[],[f2808,f128]) ).
fof(f2814,plain,
( ~ spl18_69
| ~ spl18_87
| ~ spl18_136 ),
inference(avatar_contradiction_clause,[],[f2813]) ).
fof(f2815,plain,
( spl18_68
| ~ spl18_65
| ~ spl18_135 ),
inference(avatar_split_clause,[],[f2668,f1077,f745,f758]) ).
fof(f2821,plain,
( e12 = op1(e12,e10)
| ~ spl18_71
| ~ spl18_136 ),
inference(forward_demodulation,[],[f1084,f772]) ).
fof(f2853,plain,
( e11 = e12
| ~ spl18_81
| ~ spl18_82 ),
inference(superposition,[],[f819,f815]) ).
fof(f2854,plain,
( e11 = e12
| ~ spl18_81
| ~ spl18_82 ),
inference(superposition,[],[f815,f819]) ).
fof(f2856,plain,
( $false
| ~ spl18_81
| ~ spl18_82 ),
inference(forward_subsumption_resolution,[],[f2854,f126]) ).
fof(f2857,plain,
( ~ spl18_81
| ~ spl18_82 ),
inference(avatar_contradiction_clause,[],[f2856]) ).
fof(f2858,plain,
( $false
| ~ spl18_81
| ~ spl18_82 ),
inference(forward_subsumption_resolution,[],[f2853,f126]) ).
fof(f2859,plain,
( ~ spl18_81
| ~ spl18_82 ),
inference(avatar_contradiction_clause,[],[f2858]) ).
fof(f2861,plain,
( e10 = e11
| ~ spl18_114
| ~ spl18_115 ),
inference(forward_demodulation,[],[f955,f959]) ).
fof(f2862,plain,
( e10 != op1(e10,e11)
| ~ spl18_94
| spl18_142 ),
inference(forward_demodulation,[],[f1113,f870]) ).
fof(f2863,plain,
( $false
| ~ spl18_114
| ~ spl18_115 ),
inference(forward_subsumption_resolution,[],[f2861,f129]) ).
fof(f2864,plain,
( ~ spl18_114
| ~ spl18_115 ),
inference(avatar_contradiction_clause,[],[f2863]) ).
fof(f2865,plain,
( $false
| ~ spl18_94
| ~ spl18_123
| spl18_142 ),
inference(forward_subsumption_resolution,[],[f2862,f993]) ).
fof(f2866,plain,
( ~ spl18_94
| ~ spl18_123
| spl18_142 ),
inference(avatar_contradiction_clause,[],[f2865]) ).
fof(f2901,plain,
( e10 = e12
| ~ spl18_73
| ~ spl18_75 ),
inference(superposition,[],[f789,f781]) ).
fof(f2905,plain,
( $false
| ~ spl18_73
| ~ spl18_75 ),
inference(forward_subsumption_resolution,[],[f2901,f128]) ).
fof(f2906,plain,
( ~ spl18_73
| ~ spl18_75 ),
inference(avatar_contradiction_clause,[],[f2905]) ).
fof(f2926,plain,
( e11 = e13
| ~ spl18_120
| ~ spl18_122 ),
inference(forward_demodulation,[],[f981,f989]) ).
fof(f2934,plain,
( e10 = op1(e10,e12)
| ~ spl18_125
| ~ spl18_134 ),
inference(forward_demodulation,[],[f1074,f1002]) ).
fof(f2935,plain,
( spl18_115
| ~ spl18_108
| ~ spl18_146 ),
inference(avatar_split_clause,[],[f2693,f1132,f928,f957]) ).
fof(f2948,plain,
( $false
| ~ spl18_120
| ~ spl18_122 ),
inference(forward_subsumption_resolution,[],[f2926,f125]) ).
fof(f2949,plain,
( ~ spl18_120
| ~ spl18_122 ),
inference(avatar_contradiction_clause,[],[f2948]) ).
fof(f2955,plain,
( spl18_119
| ~ spl18_125
| ~ spl18_134 ),
inference(avatar_split_clause,[],[f2934,f1072,f1000,f974]) ).
fof(f2960,plain,
( e11 = e13
| ~ spl18_92
| ~ spl18_94 ),
inference(forward_demodulation,[],[f862,f870]) ).
fof(f2963,plain,
( e11 = e13
| ~ spl18_104
| ~ spl18_106 ),
inference(forward_demodulation,[],[f913,f921]) ).
fof(f2971,plain,
( e11 = op1(e11,e10)
| ~ spl18_123
| ~ spl18_133 ),
inference(forward_demodulation,[],[f1069,f993]) ).
fof(f2973,plain,
( e13 != op1(e13,e11)
| ~ spl18_98
| spl18_143 ),
inference(forward_demodulation,[],[f1118,f887]) ).
fof(f2979,plain,
( e12 = op1(e12,e11)
| ~ spl18_102
| ~ spl18_144 ),
inference(forward_demodulation,[],[f1124,f904]) ).
fof(f2982,plain,
( $false
| ~ spl18_92
| ~ spl18_94 ),
inference(forward_subsumption_resolution,[],[f2960,f125]) ).
fof(f2983,plain,
( ~ spl18_92
| ~ spl18_94 ),
inference(avatar_contradiction_clause,[],[f2982]) ).
fof(f2984,plain,
( $false
| ~ spl18_104
| ~ spl18_106 ),
inference(forward_subsumption_resolution,[],[f2963,f125]) ).
fof(f2985,plain,
( ~ spl18_104
| ~ spl18_106 ),
inference(avatar_contradiction_clause,[],[f2984]) ).
fof(f3005,plain,
( e12 = e13
| ~ spl18_108
| ~ spl18_109 ),
inference(forward_demodulation,[],[f930,f934]) ).
fof(f3015,plain,
( $false
| ~ spl18_108
| ~ spl18_109 ),
inference(forward_subsumption_resolution,[],[f3005,f124]) ).
fof(f3016,plain,
( ~ spl18_108
| ~ spl18_109 ),
inference(avatar_contradiction_clause,[],[f3015]) ).
fof(f3025,plain,
( e11 = e13
| ~ spl18_108
| ~ spl18_110 ),
inference(forward_demodulation,[],[f930,f938]) ).
fof(f3027,plain,
( $false
| spl18_89
| ~ spl18_102
| ~ spl18_144 ),
inference(forward_subsumption_resolution,[],[f2979,f848]) ).
fof(f3028,plain,
( spl18_89
| ~ spl18_102
| ~ spl18_144 ),
inference(avatar_contradiction_clause,[],[f3027]) ).
fof(f3029,plain,
( $false
| ~ spl18_108
| ~ spl18_110 ),
inference(forward_subsumption_resolution,[],[f3025,f125]) ).
fof(f3030,plain,
( ~ spl18_108
| ~ spl18_110 ),
inference(avatar_contradiction_clause,[],[f3029]) ).
fof(f3034,plain,
( e10 = e13
| ~ spl18_108
| ~ spl18_111 ),
inference(forward_demodulation,[],[f930,f942]) ).
fof(f3036,plain,
( $false
| ~ spl18_108
| ~ spl18_111 ),
inference(forward_subsumption_resolution,[],[f3034,f127]) ).
fof(f3037,plain,
( ~ spl18_108
| ~ spl18_111 ),
inference(avatar_contradiction_clause,[],[f3036]) ).
fof(f3072,plain,
( e10 = e13
| ~ spl18_104
| ~ spl18_107 ),
inference(superposition,[],[f925,f913]) ).
fof(f3077,plain,
( $false
| ~ spl18_104
| ~ spl18_107 ),
inference(forward_subsumption_resolution,[],[f3072,f127]) ).
fof(f3078,plain,
( ~ spl18_104
| ~ spl18_107 ),
inference(avatar_contradiction_clause,[],[f3077]) ).
fof(f3095,plain,
( e20 = h1(e10)
| ~ spl18_12
| ~ spl18_57 ),
inference(superposition,[],[f1924,f384]) ).
fof(f3096,plain,
( spl18_198
| ~ spl18_12
| ~ spl18_57 ),
inference(avatar_split_clause,[],[f3095,f702,f446,f1440]) ).
fof(f3098,plain,
( e22 = op2(e22,e22)
| ~ spl18_42
| ~ spl18_53 ),
inference(forward_demodulation,[],[f682,f578]) ).
fof(f3101,plain,
( e20 = e22
| ~ spl18_42
| ~ spl18_53 ),
inference(forward_demodulation,[],[f3098,f247]) ).
fof(f3104,plain,
( $false
| ~ spl18_42
| ~ spl18_53 ),
inference(forward_subsumption_resolution,[],[f3101,f284]) ).
fof(f3105,plain,
( ~ spl18_42
| ~ spl18_53 ),
inference(avatar_contradiction_clause,[],[f3104]) ).
fof(f3107,plain,
( e21 = e22
| ~ spl18_2
| ~ spl18_3 ),
inference(forward_demodulation,[],[f406,f410]) ).
fof(f3119,plain,
( spl18_48
| ~ spl18_23
| ~ spl18_60 ),
inference(avatar_split_clause,[],[f2417,f718,f494,f601]) ).
fof(f3122,plain,
( e21 = op2(e21,e22)
| ~ spl18_46
| ~ spl18_54 ),
inference(forward_demodulation,[],[f687,f595]) ).
fof(f3125,plain,
( e22 = op2(e22,e21)
| ~ spl18_43
| ~ spl18_53 ),
inference(forward_demodulation,[],[f682,f582]) ).
fof(f3127,plain,
( $false
| ~ spl18_2
| ~ spl18_3 ),
inference(forward_subsumption_resolution,[],[f3107,f282]) ).
fof(f3128,plain,
( ~ spl18_2
| ~ spl18_3 ),
inference(avatar_contradiction_clause,[],[f3127]) ).
fof(f3132,plain,
( $false
| spl18_18
| ~ spl18_43
| ~ spl18_53 ),
inference(forward_subsumption_resolution,[],[f3125,f474]) ).
fof(f3133,plain,
( spl18_18
| ~ spl18_43
| ~ spl18_53 ),
inference(avatar_contradiction_clause,[],[f3132]) ).
fof(f3157,plain,
( e21 = op2(e21,e23)
| ~ spl18_45
| ~ spl18_54 ),
inference(forward_demodulation,[],[f687,f591]) ).
fof(f3166,plain,
( spl18_27
| ~ spl18_45
| ~ spl18_54 ),
inference(avatar_split_clause,[],[f3157,f685,f589,f511]) ).
fof(f3226,plain,
( e20 = e22
| ~ spl18_10
| ~ spl18_12 ),
inference(forward_demodulation,[],[f440,f448]) ).
fof(f3236,plain,
( $false
| ~ spl18_10
| ~ spl18_12 ),
inference(forward_subsumption_resolution,[],[f3226,f284]) ).
fof(f3237,plain,
( ~ spl18_10
| ~ spl18_12 ),
inference(avatar_contradiction_clause,[],[f3236]) ).
fof(f3247,plain,
( e20 = e23
| ~ spl18_29
| ~ spl18_32 ),
inference(forward_demodulation,[],[f522,f534]) ).
fof(f3248,plain,
( e21 = e23
| ~ spl18_45
| ~ spl18_47 ),
inference(forward_demodulation,[],[f591,f599]) ).
fof(f3252,plain,
( $false
| ~ spl18_29
| ~ spl18_32 ),
inference(forward_subsumption_resolution,[],[f3247,f283]) ).
fof(f3253,plain,
( ~ spl18_29
| ~ spl18_32 ),
inference(avatar_contradiction_clause,[],[f3252]) ).
fof(f3254,plain,
( $false
| ~ spl18_45
| ~ spl18_47 ),
inference(forward_subsumption_resolution,[],[f3248,f281]) ).
fof(f3255,plain,
( ~ spl18_45
| ~ spl18_47 ),
inference(avatar_contradiction_clause,[],[f3254]) ).
fof(f3276,plain,
( e21 = e22
| ~ spl18_10
| ~ spl18_11 ),
inference(superposition,[],[f444,f440]) ).
fof(f3280,plain,
( $false
| ~ spl18_10
| ~ spl18_11 ),
inference(forward_subsumption_resolution,[],[f3276,f282]) ).
fof(f3281,plain,
( ~ spl18_10
| ~ spl18_11 ),
inference(avatar_contradiction_clause,[],[f3280]) ).
fof(f3292,plain,
( e22 = e23
| ~ spl18_13
| ~ spl18_14 ),
inference(superposition,[],[f457,f453]) ).
fof(f3296,plain,
( $false
| ~ spl18_13
| ~ spl18_14 ),
inference(forward_subsumption_resolution,[],[f3292,f280]) ).
fof(f3297,plain,
( ~ spl18_13
| ~ spl18_14 ),
inference(avatar_contradiction_clause,[],[f3296]) ).
fof(f3300,plain,
( e20 = e22
| ~ spl18_166
| ~ spl18_196 ),
inference(forward_demodulation,[],[f1250,f1418]) ).
fof(f3305,plain,
( $false
| ~ spl18_166
| ~ spl18_196 ),
inference(forward_subsumption_resolution,[],[f3300,f284]) ).
fof(f3306,plain,
( ~ spl18_166
| ~ spl18_196 ),
inference(avatar_contradiction_clause,[],[f3305]) ).
fof(f3333,plain,
( e22 = e23
| ~ spl18_9
| ~ spl18_10 ),
inference(forward_demodulation,[],[f436,f440]) ).
fof(f3335,plain,
( e21 = e23
| ~ spl18_17
| ~ spl18_19 ),
inference(forward_demodulation,[],[f471,f479]) ).
fof(f3342,plain,
( $false
| ~ spl18_9
| ~ spl18_10 ),
inference(forward_subsumption_resolution,[],[f3333,f280]) ).
fof(f3343,plain,
( ~ spl18_9
| ~ spl18_10 ),
inference(avatar_contradiction_clause,[],[f3342]) ).
fof(f3346,plain,
( $false
| ~ spl18_17
| ~ spl18_19 ),
inference(forward_subsumption_resolution,[],[f3335,f281]) ).
fof(f3347,plain,
( ~ spl18_17
| ~ spl18_19 ),
inference(avatar_contradiction_clause,[],[f3346]) ).
fof(f3355,plain,
( spl18_9
| ~ spl18_16
| ~ spl18_58 ),
inference(avatar_split_clause,[],[f1972,f707,f463,f434]) ).
fof(f3368,plain,
( e20 = e23
| ~ spl18_13
| ~ spl18_16 ),
inference(superposition,[],[f465,f453]) ).
fof(f3373,plain,
( $false
| ~ spl18_13
| ~ spl18_16 ),
inference(forward_subsumption_resolution,[],[f3368,f283]) ).
fof(f3374,plain,
( ~ spl18_13
| ~ spl18_16 ),
inference(avatar_contradiction_clause,[],[f3373]) ).
fof(f3379,plain,
( e23 = op2(e23,e21)
| ~ spl18_39
| ~ spl18_52 ),
inference(forward_demodulation,[],[f677,f565]) ).
fof(f3382,plain,
( e21 = e22
| ~ spl18_190
| ~ spl18_194 ),
inference(forward_demodulation,[],[f1370,f1390]) ).
fof(f3391,plain,
( e20 = e23
| ~ spl18_8
| ~ spl18_39
| ~ spl18_52 ),
inference(forward_demodulation,[],[f3379,f431]) ).
fof(f3393,plain,
( $false
| ~ spl18_190
| ~ spl18_194 ),
inference(forward_subsumption_resolution,[],[f3382,f282]) ).
fof(f3394,plain,
( ~ spl18_190
| ~ spl18_194 ),
inference(avatar_contradiction_clause,[],[f3393]) ).
fof(f3395,plain,
( $false
| ~ spl18_8
| ~ spl18_39
| ~ spl18_52 ),
inference(forward_subsumption_resolution,[],[f3391,f283]) ).
fof(f3396,plain,
( ~ spl18_8
| ~ spl18_39
| ~ spl18_52 ),
inference(avatar_contradiction_clause,[],[f3395]) ).
fof(f3401,plain,
( e20 = e23
| ~ spl18_41
| ~ spl18_44 ),
inference(forward_demodulation,[],[f574,f586]) ).
fof(f3410,plain,
( e23 = op2(e23,e20)
| ~ spl18_40
| ~ spl18_52 ),
inference(forward_demodulation,[],[f677,f569]) ).
fof(f3415,plain,
( $false
| ~ spl18_41
| ~ spl18_44 ),
inference(forward_subsumption_resolution,[],[f3401,f283]) ).
fof(f3416,plain,
( ~ spl18_41
| ~ spl18_44 ),
inference(avatar_contradiction_clause,[],[f3415]) ).
fof(f3424,plain,
( e20 = e23
| ~ spl18_33
| ~ spl18_36 ),
inference(forward_demodulation,[],[f540,f552]) ).
fof(f3431,plain,
( $false
| ~ spl18_33
| ~ spl18_36 ),
inference(forward_subsumption_resolution,[],[f3424,f283]) ).
fof(f3432,plain,
( ~ spl18_33
| ~ spl18_36 ),
inference(avatar_contradiction_clause,[],[f3431]) ).
fof(f3437,plain,
( e21 = e22
| ~ spl18_46
| ~ spl18_47 ),
inference(forward_demodulation,[],[f595,f599]) ).
fof(f3438,plain,
( $false
| spl18_31
| ~ spl18_46
| ~ spl18_54 ),
inference(forward_subsumption_resolution,[],[f3122,f529]) ).
fof(f3439,plain,
( spl18_31
| ~ spl18_46
| ~ spl18_54 ),
inference(avatar_contradiction_clause,[],[f3438]) ).
fof(f3453,plain,
( $false
| ~ spl18_46
| ~ spl18_47 ),
inference(forward_subsumption_resolution,[],[f3437,f282]) ).
fof(f3454,plain,
( ~ spl18_46
| ~ spl18_47 ),
inference(avatar_contradiction_clause,[],[f3453]) ).
fof(f3494,plain,
( e20 = e21
| ~ spl18_11
| ~ spl18_12 ),
inference(superposition,[],[f448,f444]) ).
fof(f3498,plain,
( $false
| ~ spl18_11
| ~ spl18_12 ),
inference(forward_subsumption_resolution,[],[f3494,f285]) ).
fof(f3499,plain,
( ~ spl18_11
| ~ spl18_12 ),
inference(avatar_contradiction_clause,[],[f3498]) ).
fof(f3521,plain,
( e21 = e22
| ~ spl18_30
| ~ spl18_31 ),
inference(superposition,[],[f530,f526]) ).
fof(f3522,plain,
( e21 = e22
| ~ spl18_30
| ~ spl18_31 ),
inference(superposition,[],[f526,f530]) ).
fof(f3524,plain,
( $false
| ~ spl18_30
| ~ spl18_31 ),
inference(forward_subsumption_resolution,[],[f3522,f282]) ).
fof(f3525,plain,
( ~ spl18_30
| ~ spl18_31 ),
inference(avatar_contradiction_clause,[],[f3524]) ).
fof(f3526,plain,
( $false
| ~ spl18_30
| ~ spl18_31 ),
inference(forward_subsumption_resolution,[],[f3521,f282]) ).
fof(f3527,plain,
( ~ spl18_30
| ~ spl18_31 ),
inference(avatar_contradiction_clause,[],[f3526]) ).
fof(f3627,plain,
( e20 = e21
| ~ spl18_194
| ~ spl18_198 ),
inference(superposition,[],[f1442,f1390]) ).
fof(f3632,plain,
( $false
| ~ spl18_194
| ~ spl18_198 ),
inference(forward_subsumption_resolution,[],[f3627,f285]) ).
fof(f3633,plain,
( ~ spl18_194
| ~ spl18_198 ),
inference(avatar_contradiction_clause,[],[f3632]) ).
fof(f3649,plain,
( e23 = op2(e23,e21)
| ~ spl18_39
| ~ spl18_52 ),
inference(forward_demodulation,[],[f677,f565]) ).
fof(f3660,plain,
( $false
| spl18_5
| ~ spl18_39
| ~ spl18_52 ),
inference(forward_subsumption_resolution,[],[f3649,f418]) ).
fof(f3661,plain,
( spl18_5
| ~ spl18_39
| ~ spl18_52 ),
inference(avatar_contradiction_clause,[],[f3660]) ).
fof(f3675,plain,
( e20 = e21
| ~ spl18_158
| ~ spl18_195 ),
inference(forward_demodulation,[],[f1210,f1406]) ).
fof(f3689,plain,
( $false
| ~ spl18_158
| ~ spl18_195 ),
inference(forward_subsumption_resolution,[],[f3675,f285]) ).
fof(f3690,plain,
( ~ spl18_158
| ~ spl18_195 ),
inference(avatar_contradiction_clause,[],[f3689]) ).
fof(f3775,plain,
( $false
| spl18_9
| ~ spl18_40
| ~ spl18_52 ),
inference(forward_subsumption_resolution,[],[f3410,f435]) ).
fof(f3776,plain,
( spl18_9
| ~ spl18_40
| ~ spl18_52 ),
inference(avatar_contradiction_clause,[],[f3775]) ).
fof(f3813,plain,
( e20 = e22
| ~ spl18_190
| ~ spl18_198 ),
inference(superposition,[],[f1442,f1370]) ).
fof(f3818,plain,
( $false
| ~ spl18_190
| ~ spl18_198 ),
inference(forward_subsumption_resolution,[],[f3813,f284]) ).
fof(f3819,plain,
( ~ spl18_190
| ~ spl18_198 ),
inference(avatar_contradiction_clause,[],[f3818]) ).
fof(f3823,plain,
( e20 = e23
| ~ spl18_1
| ~ spl18_4 ),
inference(superposition,[],[f414,f402]) ).
fof(f3827,plain,
( $false
| ~ spl18_1
| ~ spl18_4 ),
inference(forward_subsumption_resolution,[],[f3823,f283]) ).
fof(f3828,plain,
( ~ spl18_1
| ~ spl18_4 ),
inference(avatar_contradiction_clause,[],[f3827]) ).
fof(f3838,plain,
( e21 = e22
| ~ spl18_18
| ~ spl18_19 ),
inference(superposition,[],[f479,f475]) ).
fof(f3843,plain,
( $false
| ~ spl18_18
| ~ spl18_19 ),
inference(forward_subsumption_resolution,[],[f3838,f282]) ).
fof(f3844,plain,
( ~ spl18_18
| ~ spl18_19 ),
inference(avatar_contradiction_clause,[],[f3843]) ).
fof(f3859,plain,
( spl18_31
| ~ spl18_18
| ~ spl18_59 ),
inference(avatar_split_clause,[],[f2089,f713,f473,f528]) ).
fof(f3938,plain,
( e23 = op2(e23,e22)
| ~ spl18_14
| ~ spl18_58 ),
inference(forward_demodulation,[],[f709,f457]) ).
fof(f3944,plain,
( $false
| spl18_1
| ~ spl18_14
| ~ spl18_58 ),
inference(forward_subsumption_resolution,[],[f3938,f401]) ).
fof(f3945,plain,
( spl18_1
| ~ spl18_14
| ~ spl18_58 ),
inference(avatar_contradiction_clause,[],[f3944]) ).
fof(f3999,plain,
( e22 = e23
| ~ spl18_29
| ~ spl18_30 ),
inference(superposition,[],[f526,f522]) ).
fof(f4003,plain,
( $false
| ~ spl18_29
| ~ spl18_30 ),
inference(forward_subsumption_resolution,[],[f3999,f280]) ).
fof(f4004,plain,
( ~ spl18_29
| ~ spl18_30 ),
inference(avatar_contradiction_clause,[],[f4003]) ).
fof(f4032,plain,
( e23 = op2(e23,e20)
| ~ spl18_28
| ~ spl18_61 ),
inference(forward_demodulation,[],[f725,f517]) ).
fof(f4041,plain,
( e22 = e23
| ~ spl18_10
| ~ spl18_28
| ~ spl18_61 ),
inference(forward_demodulation,[],[f4032,f440]) ).
fof(f4043,plain,
( $false
| ~ spl18_10
| ~ spl18_28
| ~ spl18_61 ),
inference(forward_subsumption_resolution,[],[f4041,f280]) ).
fof(f4044,plain,
( ~ spl18_10
| ~ spl18_28
| ~ spl18_61 ),
inference(avatar_contradiction_clause,[],[f4043]) ).
fof(f4065,plain,
e20 = h3(e10),
inference(superposition,[],[f392,f247]) ).
fof(f4069,plain,
( $false
| spl18_196 ),
inference(forward_subsumption_resolution,[],[f4065,f1417]) ).
fof(f4070,plain,
spl18_196,
inference(avatar_contradiction_clause,[],[f4069]) ).
fof(f4123,plain,
( e20 = e22
| ~ spl18_2
| ~ spl18_4 ),
inference(forward_demodulation,[],[f406,f414]) ).
fof(f4138,plain,
( $false
| ~ spl18_2
| ~ spl18_4 ),
inference(forward_subsumption_resolution,[],[f4123,f284]) ).
fof(f4139,plain,
( ~ spl18_2
| ~ spl18_4 ),
inference(avatar_contradiction_clause,[],[f4138]) ).
fof(f4224,plain,
( e20 = e22
| ~ spl18_38
| ~ spl18_40 ),
inference(superposition,[],[f569,f561]) ).
fof(f4229,plain,
( $false
| ~ spl18_38
| ~ spl18_40 ),
inference(forward_subsumption_resolution,[],[f4224,f284]) ).
fof(f4230,plain,
( ~ spl18_38
| ~ spl18_40 ),
inference(avatar_contradiction_clause,[],[f4229]) ).
fof(f4231,plain,
( e20 = e23
| ~ spl18_9
| ~ spl18_12 ),
inference(forward_demodulation,[],[f436,f448]) ).
fof(f4233,plain,
( e21 = e23
| ~ spl18_29
| ~ spl18_31 ),
inference(forward_demodulation,[],[f522,f530]) ).
fof(f4262,plain,
( $false
| ~ spl18_9
| ~ spl18_12 ),
inference(forward_subsumption_resolution,[],[f4231,f283]) ).
fof(f4263,plain,
( ~ spl18_9
| ~ spl18_12 ),
inference(avatar_contradiction_clause,[],[f4262]) ).
fof(f4264,plain,
( $false
| ~ spl18_29
| ~ spl18_31 ),
inference(forward_subsumption_resolution,[],[f4233,f281]) ).
fof(f4265,plain,
( ~ spl18_29
| ~ spl18_31 ),
inference(avatar_contradiction_clause,[],[f4264]) ).
fof(f4272,plain,
( e22 = e23
| ~ spl18_33
| ~ spl18_34 ),
inference(forward_demodulation,[],[f540,f544]) ).
fof(f4303,plain,
( $false
| ~ spl18_33
| ~ spl18_34 ),
inference(forward_subsumption_resolution,[],[f4272,f280]) ).
fof(f4304,plain,
( ~ spl18_33
| ~ spl18_34 ),
inference(avatar_contradiction_clause,[],[f4303]) ).
fof(f4317,plain,
( e23 = op2(e23,e22)
| ~ spl18_38
| ~ spl18_52 ),
inference(forward_demodulation,[],[f677,f561]) ).
fof(f4343,plain,
( $false
| spl18_1
| ~ spl18_38
| ~ spl18_52 ),
inference(forward_subsumption_resolution,[],[f4317,f401]) ).
fof(f4344,plain,
( spl18_1
| ~ spl18_38
| ~ spl18_52 ),
inference(avatar_contradiction_clause,[],[f4343]) ).
fof(f4348,plain,
( e22 = e23
| ~ spl18_1
| ~ spl18_2 ),
inference(forward_demodulation,[],[f402,f406]) ).
fof(f4355,plain,
( $false
| ~ spl18_1
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f4348,f280]) ).
fof(f4356,plain,
( ~ spl18_1
| ~ spl18_2 ),
inference(avatar_contradiction_clause,[],[f4355]) ).
fof(f4369,plain,
( e21 = e22
| ~ spl18_42
| ~ spl18_43 ),
inference(forward_demodulation,[],[f578,f582]) ).
fof(f4398,plain,
( $false
| ~ spl18_42
| ~ spl18_43 ),
inference(forward_subsumption_resolution,[],[f4369,f282]) ).
fof(f4399,plain,
( ~ spl18_42
| ~ spl18_43 ),
inference(avatar_contradiction_clause,[],[f4398]) ).
fof(f4470,plain,
( e20 = e23
| ~ spl18_45
| ~ spl18_48 ),
inference(forward_demodulation,[],[f591,f603]) ).
fof(f4475,plain,
( e22 != op2(e22,e23)
| ~ spl18_41
| spl18_53 ),
inference(forward_demodulation,[],[f681,f574]) ).
fof(f4497,plain,
( $false
| ~ spl18_45
| ~ spl18_48 ),
inference(forward_subsumption_resolution,[],[f4470,f283]) ).
fof(f4498,plain,
( ~ spl18_45
| ~ spl18_48 ),
inference(avatar_contradiction_clause,[],[f4497]) ).
fof(f4542,plain,
( $false
| ~ spl18_14
| ~ spl18_41
| spl18_53 ),
inference(forward_subsumption_resolution,[],[f4475,f457]) ).
fof(f4543,plain,
( ~ spl18_14
| ~ spl18_41
| spl18_53 ),
inference(avatar_contradiction_clause,[],[f4542]) ).
fof(f4610,plain,
( e21 = e23
| ~ spl18_41
| ~ spl18_43 ),
inference(superposition,[],[f582,f574]) ).
fof(f4615,plain,
( $false
| ~ spl18_41
| ~ spl18_43 ),
inference(forward_subsumption_resolution,[],[f4610,f281]) ).
fof(f4616,plain,
( ~ spl18_41
| ~ spl18_43 ),
inference(avatar_contradiction_clause,[],[f4615]) ).
fof(f4686,plain,
( e21 != h2(e10)
| ~ spl18_27 ),
inference(superposition,[],[f644,f513]) ).
fof(f4689,plain,
( e23 != h2(e10)
| ~ spl18_33 ),
inference(superposition,[],[f646,f540]) ).
fof(f4690,plain,
( e22 != h1(e10)
| ~ spl18_38 ),
inference(superposition,[],[f647,f561]) ).
fof(f4705,plain,
( e22 != h1(e10)
| ~ spl18_10 ),
inference(superposition,[],[f659,f440]) ).
fof(f4709,plain,
( e11 = op1(e12,e10)
| ~ spl18_87 ),
inference(superposition,[],[f131,f840]) ).
fof(f4710,plain,
( spl18_94
| ~ spl18_87 ),
inference(avatar_split_clause,[],[f4709,f838,f868]) ).
fof(f4734,plain,
( e10 = e13
| ~ spl18_76
| ~ spl18_79 ),
inference(superposition,[],[f806,f794]) ).
fof(f4739,plain,
( $false
| ~ spl18_76
| ~ spl18_79 ),
inference(forward_subsumption_resolution,[],[f4734,f127]) ).
fof(f4740,plain,
( ~ spl18_76
| ~ spl18_79 ),
inference(avatar_contradiction_clause,[],[f4739]) ).
fof(f4766,plain,
( $false
| ~ spl18_72
| ~ spl18_98
| spl18_143 ),
inference(forward_subsumption_resolution,[],[f2973,f777]) ).
fof(f4767,plain,
( ~ spl18_72
| ~ spl18_98
| spl18_143 ),
inference(avatar_contradiction_clause,[],[f4766]) ).
fof(f4783,plain,
( e12 = e13
| ~ spl18_88
| ~ spl18_89 ),
inference(forward_demodulation,[],[f845,f849]) ).
fof(f4785,plain,
( e12 = op1(e12,e11)
| ~ spl18_70
| ~ spl18_136 ),
inference(forward_demodulation,[],[f1084,f768]) ).
fof(f4786,plain,
( $false
| ~ spl18_71
| spl18_93
| ~ spl18_136 ),
inference(forward_subsumption_resolution,[],[f2821,f865]) ).
fof(f4787,plain,
( ~ spl18_71
| spl18_93
| ~ spl18_136 ),
inference(avatar_contradiction_clause,[],[f4786]) ).
fof(f4792,plain,
( e13 = op1(e13,e13)
| ~ spl18_112
| ~ spl18_131 ),
inference(forward_demodulation,[],[f1059,f947]) ).
fof(f4801,plain,
( $false
| ~ spl18_88
| ~ spl18_89 ),
inference(forward_subsumption_resolution,[],[f4783,f124]) ).
fof(f4802,plain,
( ~ spl18_88
| ~ spl18_89 ),
inference(avatar_contradiction_clause,[],[f4801]) ).
fof(f4805,plain,
( e12 = e13
| ~ spl18_65
| ~ spl18_112
| ~ spl18_131 ),
inference(forward_demodulation,[],[f4792,f747]) ).
fof(f4810,plain,
( $false
| ~ spl18_65
| ~ spl18_112
| ~ spl18_131 ),
inference(forward_subsumption_resolution,[],[f4805,f124]) ).
fof(f4811,plain,
( ~ spl18_65
| ~ spl18_112
| ~ spl18_131 ),
inference(avatar_contradiction_clause,[],[f4810]) ).
fof(f4822,plain,
( e12 = e13
| ~ spl18_72
| ~ spl18_73 ),
inference(forward_demodulation,[],[f777,f781]) ).
fof(f4825,plain,
( e10 = e13
| ~ spl18_84
| ~ spl18_87 ),
inference(forward_demodulation,[],[f828,f840]) ).
fof(f4844,plain,
( $false
| ~ spl18_72
| ~ spl18_73 ),
inference(forward_subsumption_resolution,[],[f4822,f124]) ).
fof(f4845,plain,
( ~ spl18_72
| ~ spl18_73 ),
inference(avatar_contradiction_clause,[],[f4844]) ).
fof(f4848,plain,
( $false
| ~ spl18_84
| ~ spl18_87 ),
inference(forward_subsumption_resolution,[],[f4825,f127]) ).
fof(f4849,plain,
( ~ spl18_84
| ~ spl18_87 ),
inference(avatar_contradiction_clause,[],[f4848]) ).
fof(f4881,plain,
( e11 = e13
| ~ spl18_66
| ~ spl18_112
| ~ spl18_131 ),
inference(forward_demodulation,[],[f4792,f751]) ).
fof(f4887,plain,
( $false
| ~ spl18_66
| ~ spl18_112
| ~ spl18_131 ),
inference(forward_subsumption_resolution,[],[f4881,f125]) ).
fof(f4888,plain,
( ~ spl18_66
| ~ spl18_112
| ~ spl18_131 ),
inference(avatar_contradiction_clause,[],[f4887]) ).
fof(f4895,plain,
( e11 = e13
| ~ spl18_116
| ~ spl18_118 ),
inference(forward_demodulation,[],[f964,f972]) ).
fof(f4899,plain,
( e13 = op1(e13,e11)
| ~ spl18_66
| ~ spl18_135 ),
inference(forward_demodulation,[],[f1079,f751]) ).
fof(f4919,plain,
( $false
| ~ spl18_116
| ~ spl18_118 ),
inference(forward_subsumption_resolution,[],[f4895,f125]) ).
fof(f4920,plain,
( ~ spl18_116
| ~ spl18_118 ),
inference(avatar_contradiction_clause,[],[f4919]) ).
fof(f4948,plain,
( e10 = e12
| ~ spl18_125
| ~ spl18_127 ),
inference(forward_demodulation,[],[f1002,f1010]) ).
fof(f4958,plain,
( $false
| ~ spl18_125
| ~ spl18_127 ),
inference(forward_subsumption_resolution,[],[f4948,f128]) ).
fof(f4959,plain,
( ~ spl18_125
| ~ spl18_127 ),
inference(avatar_contradiction_clause,[],[f4958]) ).
fof(f4969,plain,
( $false
| ~ spl18_95
| spl18_127
| ~ spl18_142 ),
inference(forward_subsumption_resolution,[],[f2696,f1009]) ).
fof(f4970,plain,
( ~ spl18_95
| spl18_127
| ~ spl18_142 ),
inference(avatar_contradiction_clause,[],[f4969]) ).
fof(f5044,plain,
( e10 = op1(e10,e10)
| ~ spl18_79
| ~ spl18_138 ),
inference(forward_demodulation,[],[f1094,f806]) ).
fof(f5058,plain,
( $false
| ~ spl18_79
| spl18_127
| ~ spl18_138 ),
inference(forward_subsumption_resolution,[],[f5044,f1009]) ).
fof(f5059,plain,
( ~ spl18_79
| spl18_127
| ~ spl18_138 ),
inference(avatar_contradiction_clause,[],[f5058]) ).
fof(f5073,plain,
( e10 = e12
| ~ spl18_97
| ~ spl18_99 ),
inference(superposition,[],[f891,f883]) ).
fof(f5078,plain,
( $false
| ~ spl18_97
| ~ spl18_99 ),
inference(forward_subsumption_resolution,[],[f5073,f128]) ).
fof(f5079,plain,
( ~ spl18_97
| ~ spl18_99 ),
inference(avatar_contradiction_clause,[],[f5078]) ).
fof(f5115,plain,
( e13 = op1(e13,e12)
| ~ spl18_113
| ~ spl18_131 ),
inference(forward_demodulation,[],[f1059,f951]) ).
fof(f5118,plain,
( spl18_110
| ~ spl18_123
| ~ spl18_133 ),
inference(avatar_split_clause,[],[f2971,f1067,f991,f936]) ).
fof(f5128,plain,
( e11 != op1(e11,e12)
| ~ spl18_105
| spl18_145 ),
inference(forward_demodulation,[],[f1128,f917]) ).
fof(f5141,plain,
( $false
| spl18_68
| ~ spl18_113
| ~ spl18_131 ),
inference(forward_subsumption_resolution,[],[f5115,f759]) ).
fof(f5142,plain,
( spl18_68
| ~ spl18_113
| ~ spl18_131 ),
inference(avatar_contradiction_clause,[],[f5141]) ).
fof(f5145,plain,
( $false
| ~ spl18_102
| ~ spl18_105
| spl18_145 ),
inference(forward_subsumption_resolution,[],[f5128,f904]) ).
fof(f5146,plain,
( ~ spl18_102
| ~ spl18_105
| spl18_145 ),
inference(avatar_contradiction_clause,[],[f5145]) ).
fof(f5157,plain,
( e11 = op1(e11,e12)
| ~ spl18_121
| ~ spl18_133 ),
inference(forward_demodulation,[],[f1069,f985]) ).
fof(f5162,plain,
( e11 = op1(e11,e13)
| ~ spl18_72
| ~ spl18_137 ),
inference(forward_demodulation,[],[f1089,f777]) ).
fof(f5167,plain,
( spl18_98
| ~ spl18_72
| ~ spl18_137 ),
inference(avatar_split_clause,[],[f5162,f1087,f775,f885]) ).
fof(f5200,plain,
( spl18_102
| ~ spl18_121
| ~ spl18_133 ),
inference(avatar_split_clause,[],[f5157,f1067,f983,f902]) ).
fof(f5253,plain,
( e10 = e13
| ~ spl18_64
| ~ spl18_67 ),
inference(superposition,[],[f755,f743]) ).
fof(f5258,plain,
( $false
| ~ spl18_64
| ~ spl18_67 ),
inference(forward_subsumption_resolution,[],[f5253,f127]) ).
fof(f5259,plain,
( ~ spl18_64
| ~ spl18_67 ),
inference(avatar_contradiction_clause,[],[f5258]) ).
fof(f5308,plain,
( spl18_89
| ~ spl18_70
| ~ spl18_136 ),
inference(avatar_split_clause,[],[f4785,f1082,f766,f847]) ).
fof(f5353,plain,
( e10 = e11
| ~ spl18_122
| ~ spl18_123 ),
inference(forward_demodulation,[],[f989,f993]) ).
fof(f5367,plain,
( e11 = op1(e11,e10)
| ~ spl18_107
| ~ spl18_145 ),
inference(forward_demodulation,[],[f1129,f925]) ).
fof(f5370,plain,
( e13 = op1(e13,e10)
| ~ spl18_99
| ~ spl18_143 ),
inference(forward_demodulation,[],[f1119,f891]) ).
fof(f5377,plain,
( $false
| ~ spl18_122
| ~ spl18_123 ),
inference(forward_subsumption_resolution,[],[f5353,f129]) ).
fof(f5378,plain,
( ~ spl18_122
| ~ spl18_123 ),
inference(avatar_contradiction_clause,[],[f5377]) ).
fof(f5384,plain,
( $false
| spl18_76
| ~ spl18_99
| ~ spl18_143 ),
inference(forward_subsumption_resolution,[],[f5370,f793]) ).
fof(f5385,plain,
( spl18_76
| ~ spl18_99
| ~ spl18_143 ),
inference(avatar_contradiction_clause,[],[f5384]) ).
fof(f5387,plain,
( e10 = e11
| ~ spl18_106
| ~ spl18_107 ),
inference(forward_demodulation,[],[f921,f925]) ).
fof(f5391,plain,
( spl18_110
| ~ spl18_107
| ~ spl18_145 ),
inference(avatar_split_clause,[],[f5367,f1127,f923,f936]) ).
fof(f5395,plain,
( $false
| ~ spl18_106
| ~ spl18_107 ),
inference(forward_subsumption_resolution,[],[f5387,f129]) ).
fof(f5396,plain,
( ~ spl18_106
| ~ spl18_107 ),
inference(avatar_contradiction_clause,[],[f5395]) ).
fof(f5412,plain,
( e12 = op1(e12,e12)
| ~ spl18_117
| ~ spl18_132 ),
inference(forward_demodulation,[],[f1064,f968]) ).
fof(f5446,plain,
( e10 = e12
| ~ spl18_87
| ~ spl18_117
| ~ spl18_132 ),
inference(forward_demodulation,[],[f5412,f840]) ).
fof(f5458,plain,
( $false
| ~ spl18_87
| ~ spl18_117
| ~ spl18_132 ),
inference(forward_subsumption_resolution,[],[f5446,f128]) ).
fof(f5459,plain,
( ~ spl18_87
| ~ spl18_117
| ~ spl18_132 ),
inference(avatar_contradiction_clause,[],[f5458]) ).
fof(f5567,plain,
( e10 != op1(e12,e11)
| ~ spl18_87 ),
inference(superposition,[],[f157,f840]) ).
fof(f5604,plain,
( e10 != op1(e11,e12)
| ~ spl18_87 ),
inference(superposition,[],[f181,f840]) ).
fof(f5608,plain,
( e10 != op1(e10,e12)
| ~ spl18_87 ),
inference(superposition,[],[f183,f840]) ).
fof(f5629,plain,
( op1(e10,e10) != e11
| ~ spl18_94 ),
inference(superposition,[],[f195,f870]) ).
fof(f5648,plain,
( e23 != op2(e20,e23)
| ~ spl18_13 ),
inference(superposition,[],[f314,f453]) ).
fof(f5662,plain,
( e21 != op2(e21,e20)
| ~ spl18_23 ),
inference(superposition,[],[f330,f496]) ).
fof(f5664,plain,
h1(e11) = op2(e20,h1(e10)),
inference(superposition,[],[f383,f384]) ).
fof(f5665,plain,
( op2(e20,e20) = h1(e11)
| ~ spl18_198 ),
inference(forward_demodulation,[],[f5664,f1442]) ).
fof(f5666,plain,
( e20 = op2(e20,e20)
| ~ spl18_198
| ~ spl18_199 ),
inference(forward_demodulation,[],[f5665,f1448]) ).
fof(f5667,plain,
h2(e11) = op2(e21,h2(e10)),
inference(superposition,[],[f387,f388]) ).
fof(f5668,plain,
( op2(e21,e20) = h2(e11)
| ~ spl18_197 ),
inference(forward_demodulation,[],[f5667,f1430]) ).
fof(f5669,plain,
( e21 = op2(e21,e20)
| ~ spl18_181
| ~ spl18_197 ),
inference(forward_demodulation,[],[f5668,f1325]) ).
fof(f5670,plain,
( spl18_35
| ~ spl18_181
| ~ spl18_197 ),
inference(avatar_split_clause,[],[f5669,f1428,f1324,f546]) ).
fof(f5671,plain,
( h2(e11) != op2(h2(e11),h2(e13))
| ~ spl18_98
| spl18_222 ),
inference(forward_demodulation,[],[f1679,f887]) ).
fof(f5672,plain,
( e23 = h2(e11)
| ~ spl18_33
| ~ spl18_197 ),
inference(forward_demodulation,[],[f5668,f540]) ).
fof(f5673,plain,
( spl18_173
| ~ spl18_33
| ~ spl18_197 ),
inference(avatar_split_clause,[],[f5672,f1428,f538,f1284]) ).
fof(f5680,plain,
h3(e11) = op2(e22,h3(e10)),
inference(superposition,[],[f391,f392]) ).
fof(f5681,plain,
op2(e22,e20) = h3(e11),
inference(superposition,[],[f391,f247]) ).
fof(f5683,plain,
e21 = h3(e11),
inference(forward_demodulation,[],[f5680,f739]) ).
fof(f5685,plain,
spl18_169,
inference(avatar_split_clause,[],[f5683,f1264]) ).
fof(f5688,plain,
h4(e11) = op2(e23,h4(e10)),
inference(superposition,[],[f395,f396]) ).
fof(f5689,plain,
( op2(e23,e20) = h4(e11)
| ~ spl18_195 ),
inference(forward_demodulation,[],[f5688,f1406]) ).
fof(f5690,plain,
( e23 = op2(e23,e20)
| ~ spl18_149
| ~ spl18_195 ),
inference(forward_demodulation,[],[f5689,f1165]) ).
fof(f5691,plain,
( $false
| spl18_9
| ~ spl18_149
| ~ spl18_195 ),
inference(forward_subsumption_resolution,[],[f5690,f435]) ).
fof(f5692,plain,
( spl18_9
| ~ spl18_149
| ~ spl18_195 ),
inference(avatar_contradiction_clause,[],[f5691]) ).
fof(f5696,plain,
e23 = op2(e21,h3(e10)),
inference(superposition,[],[f738,f739]) ).
fof(f5699,plain,
( e23 = op2(e21,e20)
| ~ spl18_196 ),
inference(forward_demodulation,[],[f5696,f1418]) ).
fof(f5700,plain,
e13 = op1(e11,op1(e12,e12)),
inference(superposition,[],[f130,f131]) ).
fof(f5703,plain,
( e13 = op1(e11,e10)
| ~ spl18_87 ),
inference(forward_demodulation,[],[f5700,f840]) ).
fof(f5854,plain,
h2(e13) = op2(op2(e21,h2(e10)),h2(e10)),
inference(superposition,[],[f386,f388]) ).
fof(f5855,plain,
( h2(e13) = op2(op2(e21,e20),e20)
| ~ spl18_197 ),
inference(forward_demodulation,[],[f5854,f1430]) ).
fof(f5857,plain,
( op2(e23,e20) = h2(e13)
| ~ spl18_33
| ~ spl18_197 ),
inference(forward_demodulation,[],[f5855,f540]) ).
fof(f5859,plain,
( e22 = h2(e13)
| ~ spl18_10
| ~ spl18_33
| ~ spl18_197 ),
inference(forward_demodulation,[],[f5857,f440]) ).
fof(f5861,plain,
( spl18_176
| ~ spl18_10
| ~ spl18_33
| ~ spl18_197 ),
inference(avatar_split_clause,[],[f5859,f1428,f538,f438,f1298]) ).
fof(f5865,plain,
( h2(e11) != op2(h2(e11),e22)
| ~ spl18_98
| ~ spl18_176
| spl18_222 ),
inference(superposition,[],[f5671,f1299]) ).
fof(f5866,plain,
( e23 != op2(e23,e22)
| ~ spl18_98
| ~ spl18_173
| ~ spl18_176
| spl18_222 ),
inference(forward_demodulation,[],[f5865,f1285]) ).
fof(f5869,plain,
( $false
| ~ spl18_1
| ~ spl18_98
| ~ spl18_173
| ~ spl18_176
| spl18_222 ),
inference(forward_subsumption_resolution,[],[f5866,f402]) ).
fof(f5870,plain,
( ~ spl18_1
| ~ spl18_98
| ~ spl18_173
| ~ spl18_176
| spl18_222 ),
inference(avatar_contradiction_clause,[],[f5869]) ).
fof(f5871,plain,
( op2(e22,e22) != h2(op1(e13,e13))
| ~ spl18_176
| spl18_219 ),
inference(forward_demodulation,[],[f1667,f1299]) ).
fof(f5873,plain,
( op2(e22,e22) != h2(e10)
| ~ spl18_67
| ~ spl18_176
| spl18_219 ),
inference(forward_demodulation,[],[f5871,f755]) ).
fof(f5875,plain,
( e20 != op2(e22,e22)
| ~ spl18_67
| ~ spl18_176
| ~ spl18_197
| spl18_219 ),
inference(forward_demodulation,[],[f5873,f1430]) ).
fof(f5877,plain,
( $false
| ~ spl18_67
| ~ spl18_176
| ~ spl18_197
| spl18_219 ),
inference(forward_subsumption_resolution,[],[f5875,f247]) ).
fof(f5878,plain,
( ~ spl18_67
| ~ spl18_176
| ~ spl18_197
| spl18_219 ),
inference(avatar_contradiction_clause,[],[f5877]) ).
fof(f5881,plain,
( h2(op1(e13,e10)) != op2(h2(e13),e20)
| ~ spl18_197
| spl18_221 ),
inference(forward_demodulation,[],[f1675,f1430]) ).
fof(f5883,plain,
( op2(e22,e20) != h2(op1(e13,e10))
| ~ spl18_176
| ~ spl18_197
| spl18_221 ),
inference(forward_demodulation,[],[f5881,f1299]) ).
fof(f5885,plain,
( op2(e22,e20) != h2(e12)
| ~ spl18_77
| ~ spl18_176
| ~ spl18_197
| spl18_221 ),
inference(forward_demodulation,[],[f5883,f798]) ).
fof(f5886,plain,
( e21 != op2(e22,e20)
| ~ spl18_77
| ~ spl18_176
| ~ spl18_197
| spl18_221 ),
inference(forward_demodulation,[],[f5885,f389]) ).
fof(f5887,plain,
( $false
| ~ spl18_23
| ~ spl18_77
| ~ spl18_176
| ~ spl18_197
| spl18_221 ),
inference(forward_subsumption_resolution,[],[f5886,f496]) ).
fof(f5888,plain,
( ~ spl18_23
| ~ spl18_77
| ~ spl18_176
| ~ spl18_197
| spl18_221 ),
inference(avatar_contradiction_clause,[],[f5887]) ).
fof(f5889,plain,
( h2(op1(e13,e11)) != op2(h2(e13),e23)
| ~ spl18_173
| spl18_220 ),
inference(forward_demodulation,[],[f1671,f1285]) ).
fof(f5891,plain,
( op2(e22,e23) != h2(op1(e13,e11))
| ~ spl18_173
| ~ spl18_176
| spl18_220 ),
inference(forward_demodulation,[],[f5889,f1299]) ).
fof(f5893,plain,
( op2(e22,e23) != h2(e11)
| ~ spl18_74
| ~ spl18_173
| ~ spl18_176
| spl18_220 ),
inference(forward_demodulation,[],[f5891,f785]) ).
fof(f5895,plain,
( e23 != op2(e22,e23)
| ~ spl18_74
| ~ spl18_173
| ~ spl18_176
| spl18_220 ),
inference(forward_demodulation,[],[f5893,f1285]) ).
fof(f5897,plain,
( $false
| ~ spl18_13
| ~ spl18_74
| ~ spl18_173
| ~ spl18_176
| spl18_220 ),
inference(forward_subsumption_resolution,[],[f5895,f453]) ).
fof(f5898,plain,
( ~ spl18_13
| ~ spl18_74
| ~ spl18_173
| ~ spl18_176
| spl18_220 ),
inference(avatar_contradiction_clause,[],[f5897]) ).
fof(f5899,plain,
( h2(op1(e13,e11)) = op2(h2(e13),e23)
| ~ spl18_173
| ~ spl18_220 ),
inference(forward_demodulation,[],[f1670,f1285]) ).
fof(f5900,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e20)
| ~ spl18_197
| spl18_224 ),
inference(forward_demodulation,[],[f1687,f1430]) ).
fof(f5901,plain,
( op2(e22,e23) = h2(op1(e13,e11))
| ~ spl18_173
| ~ spl18_176
| ~ spl18_220 ),
inference(forward_demodulation,[],[f5899,f1299]) ).
fof(f5902,plain,
( op2(e23,e20) != h2(op1(e11,e10))
| ~ spl18_173
| ~ spl18_197
| spl18_224 ),
inference(forward_demodulation,[],[f5900,f1285]) ).
fof(f5904,plain,
( op2(e23,e20) != h2(e13)
| ~ spl18_108
| ~ spl18_173
| ~ spl18_197
| spl18_224 ),
inference(forward_demodulation,[],[f5902,f930]) ).
fof(f5906,plain,
( e22 != op2(e23,e20)
| ~ spl18_108
| ~ spl18_173
| ~ spl18_176
| ~ spl18_197
| spl18_224 ),
inference(forward_demodulation,[],[f5904,f1299]) ).
fof(f5907,plain,
( $false
| ~ spl18_10
| ~ spl18_108
| ~ spl18_173
| ~ spl18_176
| ~ spl18_197
| spl18_224 ),
inference(forward_subsumption_resolution,[],[f5906,f440]) ).
fof(f5908,plain,
( ~ spl18_10
| ~ spl18_108
| ~ spl18_173
| ~ spl18_176
| ~ spl18_197
| spl18_224 ),
inference(avatar_contradiction_clause,[],[f5907]) ).
fof(f5909,plain,
( op2(e23,e23) != h2(op1(e11,e11))
| ~ spl18_173
| spl18_223 ),
inference(forward_demodulation,[],[f1683,f1285]) ).
fof(f5911,plain,
( op2(e23,e23) != h2(e10)
| ~ spl18_107
| ~ spl18_173
| spl18_223 ),
inference(forward_demodulation,[],[f5909,f925]) ).
fof(f5913,plain,
( e20 != op2(e23,e23)
| ~ spl18_107
| ~ spl18_173
| ~ spl18_197
| spl18_223 ),
inference(forward_demodulation,[],[f5911,f1430]) ).
fof(f5915,plain,
( e20 != h4(e10)
| ~ spl18_107
| ~ spl18_173
| ~ spl18_197
| spl18_223 ),
inference(forward_demodulation,[],[f5913,f396]) ).
fof(f5917,plain,
( $false
| ~ spl18_107
| ~ spl18_173
| ~ spl18_195
| ~ spl18_197
| spl18_223 ),
inference(forward_subsumption_resolution,[],[f5915,f1406]) ).
fof(f5918,plain,
( ~ spl18_107
| ~ spl18_173
| ~ spl18_195
| ~ spl18_197
| spl18_223 ),
inference(avatar_contradiction_clause,[],[f5917]) ).
fof(f5920,plain,
( h2(op1(e10,e11)) != op2(h2(e10),e23)
| ~ spl18_173
| spl18_226 ),
inference(forward_demodulation,[],[f1695,f1285]) ).
fof(f5922,plain,
( op2(e20,e23) != h2(op1(e10,e11))
| ~ spl18_173
| ~ spl18_197
| spl18_226 ),
inference(forward_demodulation,[],[f5920,f1430]) ).
fof(f5924,plain,
( op2(e20,e23) != h2(e13)
| ~ spl18_120
| ~ spl18_173
| ~ spl18_197
| spl18_226 ),
inference(forward_demodulation,[],[f5922,f981]) ).
fof(f5925,plain,
( e22 != op2(e20,e23)
| ~ spl18_120
| ~ spl18_173
| ~ spl18_176
| ~ spl18_197
| spl18_226 ),
inference(forward_demodulation,[],[f5924,f1299]) ).
fof(f5926,plain,
( $false
| ~ spl18_38
| ~ spl18_120
| ~ spl18_173
| ~ spl18_176
| ~ spl18_197
| spl18_226 ),
inference(forward_subsumption_resolution,[],[f5925,f561]) ).
fof(f5927,plain,
( ~ spl18_38
| ~ spl18_120
| ~ spl18_173
| ~ spl18_176
| ~ spl18_197
| spl18_226 ),
inference(avatar_contradiction_clause,[],[f5926]) ).
fof(f5928,plain,
( h2(op1(e10,e13)) != op2(h2(e10),e22)
| ~ spl18_176
| spl18_225 ),
inference(forward_demodulation,[],[f1691,f1299]) ).
fof(f5930,plain,
( op2(e20,e22) != h2(op1(e10,e13))
| ~ spl18_176
| ~ spl18_197
| spl18_225 ),
inference(forward_demodulation,[],[f5928,f1430]) ).
fof(f5932,plain,
( op2(e20,e22) != h2(e12)
| ~ spl18_113
| ~ spl18_176
| ~ spl18_197
| spl18_225 ),
inference(forward_demodulation,[],[f5930,f951]) ).
fof(f5934,plain,
( e21 != op2(e20,e22)
| ~ spl18_113
| ~ spl18_176
| ~ spl18_197
| spl18_225 ),
inference(forward_demodulation,[],[f5932,f389]) ).
fof(f5936,plain,
( $false
| ~ spl18_43
| ~ spl18_113
| ~ spl18_176
| ~ spl18_197
| spl18_225 ),
inference(forward_subsumption_resolution,[],[f5934,f582]) ).
fof(f5937,plain,
( ~ spl18_43
| ~ spl18_113
| ~ spl18_176
| ~ spl18_197
| spl18_225 ),
inference(avatar_contradiction_clause,[],[f5936]) ).
fof(f5939,plain,
( op2(e20,e21) != h2(op1(e10,e12))
| ~ spl18_197
| spl18_228 ),
inference(forward_demodulation,[],[f1703,f1430]) ).
fof(f5941,plain,
( op2(e20,e21) != h2(e11)
| ~ spl18_118
| ~ spl18_197
| spl18_228 ),
inference(forward_demodulation,[],[f5939,f972]) ).
fof(f5943,plain,
( e23 != op2(e20,e21)
| ~ spl18_118
| ~ spl18_173
| ~ spl18_197
| spl18_228 ),
inference(forward_demodulation,[],[f5941,f1285]) ).
fof(f5945,plain,
( $false
| ~ spl18_45
| ~ spl18_118
| ~ spl18_173
| ~ spl18_197
| spl18_228 ),
inference(forward_subsumption_resolution,[],[f5943,f591]) ).
fof(f5946,plain,
( ~ spl18_45
| ~ spl18_118
| ~ spl18_173
| ~ spl18_197
| spl18_228 ),
inference(avatar_contradiction_clause,[],[f5945]) ).
fof(f5947,plain,
( op2(e20,e20) != h2(op1(e10,e10))
| ~ spl18_197
| spl18_227 ),
inference(forward_demodulation,[],[f1699,f1430]) ).
fof(f5949,plain,
( op2(e20,e20) != h2(e10)
| ~ spl18_127
| ~ spl18_197
| spl18_227 ),
inference(forward_demodulation,[],[f5947,f1010]) ).
fof(f5951,plain,
( e20 != op2(e20,e20)
| ~ spl18_127
| ~ spl18_197
| spl18_227 ),
inference(forward_demodulation,[],[f5949,f1430]) ).
fof(f5953,plain,
( $false
| ~ spl18_127
| ~ spl18_197
| ~ spl18_198
| ~ spl18_199
| spl18_227 ),
inference(forward_subsumption_resolution,[],[f5951,f5666]) ).
fof(f5954,plain,
( ~ spl18_127
| ~ spl18_197
| ~ spl18_198
| ~ spl18_199
| spl18_227 ),
inference(avatar_contradiction_clause,[],[f5953]) ).
fof(f5956,plain,
( op2(e21,e20) != h2(op1(e12,e10))
| ~ spl18_197
| spl18_230 ),
inference(forward_demodulation,[],[f1711,f1430]) ).
fof(f5958,plain,
( op2(e21,e20) != h2(e11)
| ~ spl18_94
| ~ spl18_197
| spl18_230 ),
inference(forward_demodulation,[],[f5956,f870]) ).
fof(f5960,plain,
( e23 != op2(e21,e20)
| ~ spl18_94
| ~ spl18_173
| ~ spl18_197
| spl18_230 ),
inference(forward_demodulation,[],[f5958,f1285]) ).
fof(f5961,plain,
( $false
| ~ spl18_33
| ~ spl18_94
| ~ spl18_173
| ~ spl18_197
| spl18_230 ),
inference(forward_subsumption_resolution,[],[f5960,f540]) ).
fof(f5962,plain,
( ~ spl18_33
| ~ spl18_94
| ~ spl18_173
| ~ spl18_197
| spl18_230 ),
inference(avatar_contradiction_clause,[],[f5961]) ).
fof(f5963,plain,
( op2(e23,e21) != h2(op1(e11,e12))
| ~ spl18_173
| spl18_229 ),
inference(forward_demodulation,[],[f1707,f1285]) ).
fof(f5965,plain,
( op2(e23,e21) != h2(e12)
| ~ spl18_101
| ~ spl18_173
| spl18_229 ),
inference(forward_demodulation,[],[f5963,f900]) ).
fof(f5967,plain,
( e21 != op2(e23,e21)
| ~ spl18_101
| ~ spl18_173
| spl18_229 ),
inference(forward_demodulation,[],[f5965,f389]) ).
fof(f5969,plain,
( $false
| ~ spl18_7
| ~ spl18_101
| ~ spl18_173
| spl18_229 ),
inference(forward_subsumption_resolution,[],[f5967,f427]) ).
fof(f5970,plain,
( ~ spl18_7
| ~ spl18_101
| ~ spl18_173
| spl18_229 ),
inference(avatar_contradiction_clause,[],[f5969]) ).
fof(f5972,plain,
( h2(e10) != h2(e10)
| ~ spl18_87
| spl18_232 ),
inference(forward_demodulation,[],[f1719,f840]) ).
fof(f5973,plain,
( $false
| ~ spl18_87
| spl18_232 ),
inference(trivial_inequality_removal,[],[f5972]) ).
fof(f5974,plain,
( ~ spl18_87
| spl18_232 ),
inference(avatar_contradiction_clause,[],[f5973]) ).
fof(f5977,plain,
( op2(e21,e23) != h2(op1(e12,e11))
| ~ spl18_173
| spl18_231 ),
inference(forward_demodulation,[],[f1715,f1285]) ).
fof(f5978,plain,
( op2(e21,e23) != h2(e12)
| ~ spl18_89
| ~ spl18_173
| spl18_231 ),
inference(forward_demodulation,[],[f5977,f849]) ).
fof(f5979,plain,
( e21 != op2(e21,e23)
| ~ spl18_89
| ~ spl18_173
| spl18_231 ),
inference(forward_demodulation,[],[f5978,f389]) ).
fof(f5980,plain,
( $false
| ~ spl18_27
| ~ spl18_89
| ~ spl18_173
| spl18_231 ),
inference(forward_subsumption_resolution,[],[f5979,f513]) ).
fof(f5981,plain,
( ~ spl18_27
| ~ spl18_89
| ~ spl18_173
| spl18_231 ),
inference(avatar_contradiction_clause,[],[f5980]) ).
fof(f5983,plain,
( op2(e22,e21) != h2(op1(e13,e12))
| ~ spl18_176
| spl18_234 ),
inference(forward_demodulation,[],[f1727,f1299]) ).
fof(f5985,plain,
( op2(e22,e21) != h2(e13)
| ~ spl18_68
| ~ spl18_176
| spl18_234 ),
inference(forward_demodulation,[],[f5983,f760]) ).
fof(f5987,plain,
( e22 != op2(e22,e21)
| ~ spl18_68
| ~ spl18_176
| spl18_234 ),
inference(forward_demodulation,[],[f5985,f1299]) ).
fof(f5988,plain,
( $false
| ~ spl18_18
| ~ spl18_68
| ~ spl18_176
| spl18_234 ),
inference(forward_subsumption_resolution,[],[f5987,f475]) ).
fof(f5989,plain,
( ~ spl18_18
| ~ spl18_68
| ~ spl18_176
| spl18_234 ),
inference(avatar_contradiction_clause,[],[f5988]) ).
fof(f5990,plain,
( op2(e21,e22) != h2(op1(e12,e13))
| ~ spl18_176
| spl18_233 ),
inference(forward_demodulation,[],[f1723,f1299]) ).
fof(f5992,plain,
( op2(e21,e22) != h2(e13)
| ~ spl18_80
| ~ spl18_176
| spl18_233 ),
inference(forward_demodulation,[],[f5990,f811]) ).
fof(f5994,plain,
( e22 != op2(e21,e22)
| ~ spl18_80
| ~ spl18_176
| spl18_233 ),
inference(forward_demodulation,[],[f5992,f1299]) ).
fof(f5996,plain,
( $false
| ~ spl18_30
| ~ spl18_80
| ~ spl18_176
| spl18_233 ),
inference(forward_subsumption_resolution,[],[f5994,f526]) ).
fof(f5997,plain,
( ~ spl18_30
| ~ spl18_80
| ~ spl18_176
| spl18_233 ),
inference(avatar_contradiction_clause,[],[f5996]) ).
fof(f6008,plain,
( op2(e20,e22) = h1(e11)
| ~ spl18_190 ),
inference(forward_demodulation,[],[f5664,f1370]) ).
fof(f6044,plain,
( $false
| spl18_33
| ~ spl18_196 ),
inference(forward_subsumption_resolution,[],[f5699,f539]) ).
fof(f6045,plain,
( spl18_33
| ~ spl18_196 ),
inference(avatar_contradiction_clause,[],[f6044]) ).
fof(f6052,plain,
( e21 = op2(e22,e20)
| ~ spl18_169 ),
inference(forward_demodulation,[],[f5681,f1265]) ).
fof(f6063,plain,
( e20 = op2(e20,e22)
| ~ spl18_190
| ~ spl18_199 ),
inference(forward_demodulation,[],[f6008,f1448]) ).
fof(f6086,plain,
( spl18_23
| ~ spl18_169 ),
inference(avatar_split_clause,[],[f6052,f1264,f494]) ).
fof(f6095,plain,
( $false
| spl18_44
| ~ spl18_190
| ~ spl18_199 ),
inference(forward_subsumption_resolution,[],[f6063,f585]) ).
fof(f6096,plain,
( spl18_44
| ~ spl18_190
| ~ spl18_199 ),
inference(avatar_contradiction_clause,[],[f6095]) ).
fof(f6149,plain,
( ~ spl18_190
| ~ spl18_10 ),
inference(avatar_split_clause,[],[f4705,f438,f1369]) ).
fof(f6152,plain,
( ~ spl18_37
| ~ spl18_13 ),
inference(avatar_split_clause,[],[f5648,f451,f555]) ).
fof(f6154,plain,
( ~ spl18_35
| ~ spl18_23 ),
inference(avatar_split_clause,[],[f5662,f494,f546]) ).
fof(f6159,plain,
( ~ spl18_182
| ~ spl18_27 ),
inference(avatar_split_clause,[],[f4686,f511,f1329]) ).
fof(f6161,plain,
( ~ spl18_174
| ~ spl18_33 ),
inference(avatar_split_clause,[],[f4689,f538,f1289]) ).
fof(f6163,plain,
( ~ spl18_190
| ~ spl18_38 ),
inference(avatar_split_clause,[],[f4690,f559,f1369]) ).
fof(f6171,plain,
( spl18_72
| ~ spl18_66
| ~ spl18_135 ),
inference(avatar_split_clause,[],[f4899,f1077,f749,f775]) ).
fof(f6250,plain,
( $false
| ~ spl18_87
| ~ spl18_103 ),
inference(forward_subsumption_resolution,[],[f5604,f908]) ).
fof(f6251,plain,
( ~ spl18_87
| ~ spl18_103 ),
inference(avatar_contradiction_clause,[],[f6250]) ).
fof(f6260,plain,
( $false
| ~ spl18_87
| ~ spl18_91 ),
inference(forward_subsumption_resolution,[],[f5567,f857]) ).
fof(f6261,plain,
( ~ spl18_87
| ~ spl18_91 ),
inference(avatar_contradiction_clause,[],[f6260]) ).
fof(f6269,plain,
( op2(e22,e23) = h2(e13)
| ~ spl18_72
| ~ spl18_173
| ~ spl18_176
| ~ spl18_220 ),
inference(forward_demodulation,[],[f5901,f777]) ).
fof(f6343,plain,
( e22 = op2(e22,e23)
| ~ spl18_72
| ~ spl18_173
| ~ spl18_176
| ~ spl18_220 ),
inference(forward_demodulation,[],[f6269,f1299]) ).
fof(f6386,plain,
( $false
| spl18_14
| ~ spl18_72
| ~ spl18_173
| ~ spl18_176
| ~ spl18_220 ),
inference(forward_subsumption_resolution,[],[f6343,f456]) ).
fof(f6387,plain,
( spl18_14
| ~ spl18_72
| ~ spl18_173
| ~ spl18_176
| ~ spl18_220 ),
inference(avatar_contradiction_clause,[],[f6386]) ).
fof(f6415,plain,
( e12 = e13
| ~ spl18_76
| ~ spl18_77 ),
inference(forward_demodulation,[],[f794,f798]) ).
fof(f6435,plain,
( e13 = op1(e13,e10)
| ~ spl18_99
| ~ spl18_143 ),
inference(forward_demodulation,[],[f1119,f891]) ).
fof(f6457,plain,
( $false
| ~ spl18_94
| ~ spl18_126 ),
inference(forward_subsumption_resolution,[],[f5629,f1006]) ).
fof(f6458,plain,
( ~ spl18_94
| ~ spl18_126 ),
inference(avatar_contradiction_clause,[],[f6457]) ).
fof(f6464,plain,
( $false
| ~ spl18_87
| ~ spl18_119 ),
inference(forward_subsumption_resolution,[],[f5608,f976]) ).
fof(f6465,plain,
( ~ spl18_87
| ~ spl18_119 ),
inference(avatar_contradiction_clause,[],[f6464]) ).
fof(f6477,plain,
( $false
| ~ spl18_87
| spl18_108 ),
inference(forward_subsumption_resolution,[],[f5703,f929]) ).
fof(f6478,plain,
( ~ spl18_87
| spl18_108 ),
inference(avatar_contradiction_clause,[],[f6477]) ).
fof(f6500,plain,
( $false
| ~ spl18_76
| ~ spl18_77 ),
inference(forward_subsumption_resolution,[],[f6415,f124]) ).
fof(f6501,plain,
( ~ spl18_76
| ~ spl18_77 ),
inference(avatar_contradiction_clause,[],[f6500]) ).
fof(f6511,plain,
( e12 = e13
| ~ spl18_77
| ~ spl18_99
| ~ spl18_143 ),
inference(forward_demodulation,[],[f6435,f798]) ).
fof(f6543,plain,
( $false
| ~ spl18_77
| ~ spl18_99
| ~ spl18_143 ),
inference(forward_subsumption_resolution,[],[f6511,f124]) ).
fof(f6544,plain,
( ~ spl18_77
| ~ spl18_99
| ~ spl18_143 ),
inference(avatar_contradiction_clause,[],[f6543]) ).
cnf(s13,plain,
( spl18_49
| spl18_50
| spl18_51
| spl18_52 ),
inference(sat_conversion,[],[f678]) ).
cnf(s14,plain,
( spl18_49
| spl18_50
| spl18_51
| spl18_53 ),
inference(sat_conversion,[],[f683]) ).
cnf(s15,plain,
( spl18_49
| spl18_50
| spl18_51
| spl18_54 ),
inference(sat_conversion,[],[f688]) ).
cnf(s16,plain,
( ~ spl18_49
| spl18_55 ),
inference(sat_conversion,[],[f695]) ).
cnf(s17,plain,
( ~ spl18_49
| spl18_56 ),
inference(sat_conversion,[],[f700]) ).
cnf(s18,plain,
( ~ spl18_49
| spl18_57 ),
inference(sat_conversion,[],[f705]) ).
cnf(s19,plain,
( ~ spl18_50
| spl18_58 ),
inference(sat_conversion,[],[f710]) ).
cnf(s20,plain,
( ~ spl18_50
| spl18_59 ),
inference(sat_conversion,[],[f716]) ).
cnf(s21,plain,
( ~ spl18_50
| spl18_60 ),
inference(sat_conversion,[],[f721]) ).
cnf(s22,plain,
( ~ spl18_51
| spl18_61 ),
inference(sat_conversion,[],[f726]) ).
cnf(s23,plain,
( ~ spl18_51
| spl18_62 ),
inference(sat_conversion,[],[f731]) ).
cnf(s28,plain,
( spl18_76
| spl18_77
| spl18_78
| spl18_79 ),
inference(sat_conversion,[],[f807]) ).
cnf(s37,plain,
( spl18_112
| spl18_113
| spl18_114
| spl18_115 ),
inference(sat_conversion,[],[f960]) ).
cnf(s39,plain,
( spl18_120
| spl18_121
| spl18_122
| spl18_123 ),
inference(sat_conversion,[],[f994]) ).
cnf(s41,plain,
( spl18_64
| spl18_80
| spl18_96
| spl18_112 ),
inference(sat_conversion,[],[f1012]) ).
cnf(s42,plain,
( spl18_64
| spl18_68
| spl18_72
| spl18_76 ),
inference(sat_conversion,[],[f1013]) ).
cnf(s43,plain,
( spl18_65
| spl18_81
| spl18_97
| spl18_113 ),
inference(sat_conversion,[],[f1014]) ).
cnf(s44,plain,
( spl18_65
| spl18_69
| spl18_73
| spl18_77 ),
inference(sat_conversion,[],[f1015]) ).
cnf(s45,plain,
( spl18_66
| spl18_82
| spl18_98
| spl18_114 ),
inference(sat_conversion,[],[f1016]) ).
cnf(s46,plain,
( spl18_66
| spl18_70
| spl18_74
| spl18_78 ),
inference(sat_conversion,[],[f1017]) ).
cnf(s48,plain,
( spl18_67
| spl18_71
| spl18_75
| spl18_79 ),
inference(sat_conversion,[],[f1019]) ).
cnf(s50,plain,
( spl18_80
| spl18_84
| spl18_88
| spl18_92 ),
inference(sat_conversion,[],[f1021]) ).
cnf(s51,plain,
( spl18_69
| spl18_85
| spl18_101
| spl18_117 ),
inference(sat_conversion,[],[f1022]) ).
cnf(s52,plain,
( spl18_81
| spl18_85
| spl18_89
| spl18_93 ),
inference(sat_conversion,[],[f1023]) ).
cnf(s53,plain,
( spl18_70
| spl18_86
| spl18_102
| spl18_118 ),
inference(sat_conversion,[],[f1024]) ).
cnf(s57,plain,
( spl18_72
| spl18_88
| spl18_104
| spl18_120 ),
inference(sat_conversion,[],[f1028]) ).
cnf(s60,plain,
( spl18_97
| spl18_101
| spl18_105
| spl18_109 ),
inference(sat_conversion,[],[f1031]) ).
cnf(s61,plain,
( spl18_74
| spl18_90
| spl18_106
| spl18_122 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s63,plain,
( spl18_75
| spl18_91
| spl18_107
| spl18_123 ),
inference(sat_conversion,[],[f1034]) ).
cnf(s64,plain,
( spl18_99
| spl18_103
| spl18_107
| spl18_111 ),
inference(sat_conversion,[],[f1035]) ).
cnf(s66,plain,
( spl18_112
| spl18_116
| spl18_120
| spl18_124 ),
inference(sat_conversion,[],[f1037]) ).
cnf(s67,plain,
( spl18_77
| spl18_93
| spl18_109
| spl18_125 ),
inference(sat_conversion,[],[f1038]) ).
cnf(s68,plain,
( spl18_113
| spl18_117
| spl18_121
| spl18_125 ),
inference(sat_conversion,[],[f1039]) ).
cnf(s70,plain,
( spl18_114
| spl18_118
| spl18_122
| spl18_126 ),
inference(sat_conversion,[],[f1041]) ).
cnf(s71,plain,
( spl18_79
| spl18_95
| spl18_111
| spl18_127 ),
inference(sat_conversion,[],[f1042]) ).
cnf(s72,plain,
( spl18_115
| spl18_119
| spl18_123
| spl18_127 ),
inference(sat_conversion,[],[f1043]) ).
cnf(s73,plain,
( spl18_128
| spl18_129
| spl18_130
| spl18_131 ),
inference(sat_conversion,[],[f1060]) ).
cnf(s74,plain,
( spl18_128
| spl18_129
| spl18_130
| spl18_132 ),
inference(sat_conversion,[],[f1065]) ).
cnf(s75,plain,
( spl18_128
| spl18_129
| spl18_130
| spl18_133 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s76,plain,
( spl18_128
| spl18_129
| spl18_130
| spl18_134 ),
inference(sat_conversion,[],[f1075]) ).
cnf(s77,plain,
( ~ spl18_128
| spl18_135 ),
inference(sat_conversion,[],[f1080]) ).
cnf(s78,plain,
( ~ spl18_128
| spl18_136 ),
inference(sat_conversion,[],[f1085]) ).
cnf(s79,plain,
( ~ spl18_128
| spl18_137 ),
inference(sat_conversion,[],[f1090]) ).
cnf(s80,plain,
( ~ spl18_128
| spl18_138 ),
inference(sat_conversion,[],[f1095]) ).
cnf(s82,plain,
( ~ spl18_129
| spl18_140 ),
inference(sat_conversion,[],[f1105]) ).
cnf(s85,plain,
( ~ spl18_130
| spl18_143 ),
inference(sat_conversion,[],[f1120]) ).
cnf(s86,plain,
( ~ spl18_130
| spl18_144 ),
inference(sat_conversion,[],[f1125]) ).
cnf(s87,plain,
( ~ spl18_130
| spl18_145 ),
inference(sat_conversion,[],[f1130]) ).
cnf(s88,plain,
( ~ spl18_130
| spl18_146 ),
inference(sat_conversion,[],[f1135]) ).
cnf(s89,plain,
spl18_87,
inference(sat_conversion,[],[f1136]) ).
cnf(s109,plain,
( ~ spl18_171
| ~ spl18_173 ),
inference(sat_conversion,[],[f1287]) ).
cnf(s111,plain,
( ~ spl18_175
| ~ spl18_176 ),
inference(sat_conversion,[],[f1301]) ).
cnf(s128,plain,
( spl18_14
| spl18_26
| spl18_38
| spl18_154 ),
inference(sat_conversion,[],[f1399]) ).
cnf(s131,plain,
( spl18_3
| spl18_7
| spl18_11
| spl18_158 ),
inference(sat_conversion,[],[f1402]) ).
cnf(s132,plain,
( spl18_16
| spl18_28
| spl18_40
| spl18_195 ),
inference(sat_conversion,[],[f1407]) ).
cnf(s133,plain,
( spl18_4
| spl18_8
| spl18_12
| spl18_195 ),
inference(sat_conversion,[],[f1408]) ).
cnf(s134,plain,
( spl18_1
| spl18_29
| spl18_41
| spl18_162 ),
inference(sat_conversion,[],[f1409]) ).
cnf(s135,plain,
( spl18_13
| spl18_17
| spl18_21
| spl18_162 ),
inference(sat_conversion,[],[f1410]) ).
cnf(s136,plain,
( spl18_2
| spl18_30
| spl18_42
| spl18_166 ),
inference(sat_conversion,[],[f1411]) ).
cnf(s137,plain,
( spl18_14
| spl18_18
| spl18_22
| spl18_166 ),
inference(sat_conversion,[],[f1412]) ).
cnf(s138,plain,
( spl18_3
| spl18_31
| spl18_43
| spl18_170 ),
inference(sat_conversion,[],[f1413]) ).
cnf(s142,plain,
( spl18_5
| spl18_17
| spl18_45
| spl18_174 ),
inference(sat_conversion,[],[f1421]) ).
cnf(s144,plain,
( spl18_6
| spl18_18
| spl18_46
| spl18_178 ),
inference(sat_conversion,[],[f1423]) ).
cnf(s145,plain,
( spl18_26
| spl18_30
| spl18_34
| spl18_178 ),
inference(sat_conversion,[],[f1424]) ).
cnf(s146,plain,
( spl18_7
| spl18_19
| spl18_47
| spl18_182 ),
inference(sat_conversion,[],[f1425]) ).
cnf(s149,plain,
( spl18_28
| spl18_32
| spl18_36
| spl18_197 ),
inference(sat_conversion,[],[f1432]) ).
cnf(s151,plain,
( spl18_37
| spl18_41
| spl18_45
| spl18_186 ),
inference(sat_conversion,[],[f1434]) ).
cnf(s152,plain,
( spl18_10
| spl18_22
| spl18_34
| spl18_190 ),
inference(sat_conversion,[],[f1435]) ).
cnf(s153,plain,
( spl18_38
| spl18_42
| spl18_46
| spl18_190 ),
inference(sat_conversion,[],[f1436]) ).
cnf(s155,plain,
( spl18_39
| spl18_43
| spl18_47
| spl18_194 ),
inference(sat_conversion,[],[f1438]) ).
cnf(s156,plain,
( spl18_12
| spl18_24
| spl18_36
| spl18_198 ),
inference(sat_conversion,[],[f1443]) ).
cnf(s157,plain,
( spl18_40
| spl18_44
| spl18_48
| spl18_198 ),
inference(sat_conversion,[],[f1444]) ).
cnf(s158,plain,
( spl18_49
| spl18_50
| spl18_51
| spl18_199 ),
inference(sat_conversion,[],[f1449]) ).
cnf(s159,plain,
( ~ spl18_49
| spl18_149 ),
inference(sat_conversion,[],[f1450]) ).
cnf(s161,plain,
( ~ spl18_51
| spl18_181 ),
inference(sat_conversion,[],[f1452]) ).
cnf(s164,plain,
~ spl18_179,
inference(sat_conversion,[],[f1471]) ).
cnf(s174,plain,
( spl18_171
| spl18_175
| spl18_179
| ~ spl18_197
| ~ spl18_219
| ~ spl18_220
| ~ spl18_221
| ~ spl18_222
| ~ spl18_223
| ~ spl18_224
| ~ spl18_225
| ~ spl18_226
| ~ spl18_227
| ~ spl18_228
| ~ spl18_229
| ~ spl18_230
| ~ spl18_231
| ~ spl18_232
| ~ spl18_233
| ~ spl18_234 ),
inference(sat_conversion,[],[f1735]) ).
cnf(s184,plain,
( ~ spl18_2
| ~ spl18_55 ),
inference(sat_conversion,[],[f1902]) ).
cnf(s185,plain,
( ~ spl18_69
| ~ spl18_113
| ~ spl18_131 ),
inference(sat_conversion,[],[f1904]) ).
cnf(s186,plain,
( ~ spl18_85
| ~ spl18_87 ),
inference(sat_conversion,[],[f1913]) ).
cnf(s187,plain,
( ~ spl18_70
| ~ spl18_113
| ~ spl18_131 ),
inference(sat_conversion,[],[f1915]) ).
cnf(s190,plain,
( ~ spl18_86
| ~ spl18_87 ),
inference(sat_conversion,[],[f1926]) ).
cnf(s192,plain,
( ~ spl18_3
| ~ spl18_4 ),
inference(sat_conversion,[],[f1933]) ).
cnf(s194,plain,
( ~ spl18_6
| ~ spl18_7 ),
inference(sat_conversion,[],[f1940]) ).
cnf(s202,plain,
( ~ spl18_17
| ~ spl18_18 ),
inference(sat_conversion,[],[f1969]) ).
cnf(s206,plain,
( ~ spl18_8
| spl18_35
| ~ spl18_56 ),
inference(sat_conversion,[],[f1987]) ).
cnf(s214,plain,
( ~ spl18_30
| ~ spl18_62 ),
inference(sat_conversion,[],[f2019]) ).
cnf(s216,plain,
( ~ spl18_42
| ~ spl18_44 ),
inference(sat_conversion,[],[f2035]) ).
cnf(s219,plain,
( ~ spl18_26
| ~ spl18_28 ),
inference(sat_conversion,[],[f2057]) ).
cnf(s221,plain,
( ~ spl18_47
| ~ spl18_48 ),
inference(sat_conversion,[],[f2061]) ).
cnf(s222,plain,
( ~ spl18_17
| ~ spl18_28
| ~ spl18_59 ),
inference(sat_conversion,[],[f2063]) ).
cnf(s224,plain,
( ~ spl18_12
| ~ spl18_28
| ~ spl18_61 ),
inference(sat_conversion,[],[f2069]) ).
cnf(s225,plain,
( ~ spl18_17
| spl18_27
| ~ spl18_59 ),
inference(sat_conversion,[],[f2081]) ).
cnf(s226,plain,
( spl18_18
| ~ spl18_31
| ~ spl18_62 ),
inference(sat_conversion,[],[f2083]) ).
cnf(s234,plain,
( ~ spl18_5
| ~ spl18_7 ),
inference(sat_conversion,[],[f2122]) ).
cnf(s236,plain,
( ~ spl18_154
| ~ spl18_158 ),
inference(sat_conversion,[],[f2128]) ).
cnf(s244,plain,
( ~ spl18_22
| ~ spl18_23 ),
inference(sat_conversion,[],[f2165]) ).
cnf(s246,plain,
( ~ spl18_178
| ~ spl18_182 ),
inference(sat_conversion,[],[f2173]) ).
cnf(s247,plain,
( ~ spl18_23
| ~ spl18_24 ),
inference(sat_conversion,[],[f2181]) ).
cnf(s250,plain,
( spl18_22
| ~ spl18_32
| ~ spl18_62 ),
inference(sat_conversion,[],[f2187]) ).
cnf(s256,plain,
( ~ spl18_186
| ~ spl18_190 ),
inference(sat_conversion,[],[f2217]) ).
cnf(s258,plain,
( ~ spl18_162
| ~ spl18_196 ),
inference(sat_conversion,[],[f2224]) ).
cnf(s259,plain,
( ~ spl18_21
| ~ spl18_23 ),
inference(sat_conversion,[],[f2231]) ).
cnf(s261,plain,
( ~ spl18_170
| ~ spl18_196 ),
inference(sat_conversion,[],[f2235]) ).
cnf(s263,plain,
( ~ spl18_178
| ~ spl18_197 ),
inference(sat_conversion,[],[f2249]) ).
cnf(s269,plain,
( ~ spl18_37
| ~ spl18_38 ),
inference(sat_conversion,[],[f2284]) ).
cnf(s274,plain,
( ~ spl18_37
| ~ spl18_39 ),
inference(sat_conversion,[],[f2302]) ).
cnf(s278,plain,
( ~ spl18_186
| ~ spl18_198 ),
inference(sat_conversion,[],[f2322]) ).
cnf(s281,plain,
( ~ spl18_1
| ~ spl18_3 ),
inference(sat_conversion,[],[f2344]) ).
cnf(s282,plain,
( ~ spl18_27
| ~ spl18_28 ),
inference(sat_conversion,[],[f2346]) ).
cnf(s284,plain,
( ~ spl18_43
| ~ spl18_44 ),
inference(sat_conversion,[],[f2350]) ).
cnf(s285,plain,
( ~ spl18_39
| ~ spl18_40 ),
inference(sat_conversion,[],[f2365]) ).
cnf(s287,plain,
( ~ spl18_30
| ~ spl18_32 ),
inference(sat_conversion,[],[f2376]) ).
cnf(s289,plain,
( ~ spl18_41
| ~ spl18_42 ),
inference(sat_conversion,[],[f2392]) ).
cnf(s290,plain,
( ~ spl18_41
| ~ spl18_42 ),
inference(sat_conversion,[],[f2394]) ).
cnf(s297,plain,
( ~ spl18_46
| ~ spl18_48 ),
inference(sat_conversion,[],[f2423]) ).
cnf(s298,plain,
( ~ spl18_73
| ~ spl18_74 ),
inference(sat_conversion,[],[f2430]) ).
cnf(s299,plain,
( ~ spl18_73
| ~ spl18_74 ),
inference(sat_conversion,[],[f2432]) ).
cnf(s301,plain,
( ~ spl18_74
| ~ spl18_75 ),
inference(sat_conversion,[],[f2439]) ).
cnf(s306,plain,
( ~ spl18_112
| ~ spl18_113 ),
inference(sat_conversion,[],[f2459]) ).
cnf(s307,plain,
( ~ spl18_77
| ~ spl18_79 ),
inference(sat_conversion,[],[f2469]) ).
cnf(s309,plain,
( ~ spl18_96
| ~ spl18_98 ),
inference(sat_conversion,[],[f2483]) ).
cnf(s310,plain,
( ~ spl18_80
| ~ spl18_81 ),
inference(sat_conversion,[],[f2488]) ).
cnf(s312,plain,
( ~ spl18_80
| ~ spl18_82 ),
inference(sat_conversion,[],[f2495]) ).
cnf(s317,plain,
( ~ spl18_93
| ~ spl18_94 ),
inference(sat_conversion,[],[f2514]) ).
cnf(s319,plain,
( ~ spl18_88
| ~ spl18_90 ),
inference(sat_conversion,[],[f2521]) ).
cnf(s321,plain,
( ~ spl18_98
| ~ spl18_99 ),
inference(sat_conversion,[],[f2528]) ).
cnf(s325,plain,
( ~ spl18_101
| ~ spl18_102 ),
inference(sat_conversion,[],[f2547]) ).
cnf(s326,plain,
( ~ spl18_74
| ~ spl18_114
| ~ spl18_131 ),
inference(sat_conversion,[],[f2554]) ).
cnf(s328,plain,
( ~ spl18_65
| ~ spl18_67 ),
inference(sat_conversion,[],[f2569]) ).
cnf(s329,plain,
( ~ spl18_65
| ~ spl18_67 ),
inference(sat_conversion,[],[f2571]) ).
cnf(s330,plain,
( ~ spl18_68
| ~ spl18_70 ),
inference(sat_conversion,[],[f2576]) ).
cnf(s331,plain,
( ~ spl18_68
| ~ spl18_70 ),
inference(sat_conversion,[],[f2578]) ).
cnf(s332,plain,
( spl18_98
| ~ spl18_120
| ~ spl18_133 ),
inference(sat_conversion,[],[f2587]) ).
cnf(s334,plain,
( ~ spl18_68
| ~ spl18_71 ),
inference(sat_conversion,[],[f2606]) ).
cnf(s336,plain,
( ~ spl18_107
| ~ spl18_122
| ~ spl18_133 ),
inference(sat_conversion,[],[f2612]) ).
cnf(s337,plain,
( spl18_106
| ~ spl18_122
| ~ spl18_133 ),
inference(sat_conversion,[],[f2616]) ).
cnf(s338,plain,
( ~ spl18_65
| ~ spl18_66 ),
inference(sat_conversion,[],[f2623]) ).
cnf(s340,plain,
( ~ spl18_113
| ~ spl18_115 ),
inference(sat_conversion,[],[f2633]) ).
cnf(s341,plain,
( spl18_115
| ~ spl18_124
| ~ spl18_134 ),
inference(sat_conversion,[],[f2636]) ).
cnf(s342,plain,
( ~ spl18_75
| ~ spl18_114
| ~ spl18_131 ),
inference(sat_conversion,[],[f2644]) ).
cnf(s344,plain,
( ~ spl18_76
| ~ spl18_78 ),
inference(sat_conversion,[],[f2660]) ).
cnf(s347,plain,
( ~ spl18_78
| spl18_123
| ~ spl18_138 ),
inference(sat_conversion,[],[f2675]) ).
cnf(s349,plain,
~ spl18_140,
inference(sat_conversion,[],[f2684]) ).
cnf(s351,plain,
( ~ spl18_89
| ~ spl18_90 ),
inference(sat_conversion,[],[f2698]) ).
cnf(s352,plain,
( ~ spl18_75
| ~ spl18_98
| ~ spl18_143 ),
inference(sat_conversion,[],[f2702]) ).
cnf(s353,plain,
( ~ spl18_87
| ~ spl18_101
| ~ spl18_144 ),
inference(sat_conversion,[],[f2704]) ).
cnf(s355,plain,
( ~ spl18_97
| ~ spl18_98 ),
inference(sat_conversion,[],[f2728]) ).
cnf(s358,plain,
( ~ spl18_77
| spl18_119
| ~ spl18_138 ),
inference(sat_conversion,[],[f2736]) ).
cnf(s360,plain,
( ~ spl18_77
| ~ spl18_115
| ~ spl18_131 ),
inference(sat_conversion,[],[f2743]) ).
cnf(s366,plain,
( spl18_102
| ~ spl18_105
| ~ spl18_145 ),
inference(sat_conversion,[],[f2774]) ).
cnf(s372,plain,
( ~ spl18_69
| ~ spl18_87
| ~ spl18_136 ),
inference(sat_conversion,[],[f2814]) ).
cnf(s373,plain,
( ~ spl18_65
| spl18_68
| ~ spl18_135 ),
inference(sat_conversion,[],[f2815]) ).
cnf(s379,plain,
( ~ spl18_81
| ~ spl18_82 ),
inference(sat_conversion,[],[f2857]) ).
cnf(s380,plain,
( ~ spl18_81
| ~ spl18_82 ),
inference(sat_conversion,[],[f2859]) ).
cnf(s381,plain,
( ~ spl18_114
| ~ spl18_115 ),
inference(sat_conversion,[],[f2864]) ).
cnf(s382,plain,
( ~ spl18_94
| ~ spl18_123
| spl18_142 ),
inference(sat_conversion,[],[f2866]) ).
cnf(s389,plain,
( ~ spl18_73
| ~ spl18_75 ),
inference(sat_conversion,[],[f2906]) ).
cnf(s393,plain,
( ~ spl18_108
| spl18_115
| ~ spl18_146 ),
inference(sat_conversion,[],[f2935]) ).
cnf(s395,plain,
( ~ spl18_120
| ~ spl18_122 ),
inference(sat_conversion,[],[f2949]) ).
cnf(s397,plain,
( spl18_119
| ~ spl18_125
| ~ spl18_134 ),
inference(sat_conversion,[],[f2955]) ).
cnf(s399,plain,
( ~ spl18_92
| ~ spl18_94 ),
inference(sat_conversion,[],[f2983]) ).
cnf(s400,plain,
( ~ spl18_104
| ~ spl18_106 ),
inference(sat_conversion,[],[f2985]) ).
cnf(s407,plain,
( ~ spl18_108
| ~ spl18_109 ),
inference(sat_conversion,[],[f3016]) ).
cnf(s411,plain,
( spl18_89
| ~ spl18_102
| ~ spl18_144 ),
inference(sat_conversion,[],[f3028]) ).
cnf(s412,plain,
( ~ spl18_108
| ~ spl18_110 ),
inference(sat_conversion,[],[f3030]) ).
cnf(s413,plain,
( ~ spl18_108
| ~ spl18_111 ),
inference(sat_conversion,[],[f3037]) ).
cnf(s416,plain,
( ~ spl18_104
| ~ spl18_107 ),
inference(sat_conversion,[],[f3078]) ).
cnf(s417,plain,
( ~ spl18_12
| ~ spl18_57
| spl18_198 ),
inference(sat_conversion,[],[f3096]) ).
cnf(s420,plain,
( ~ spl18_42
| ~ spl18_53 ),
inference(sat_conversion,[],[f3105]) ).
cnf(s421,plain,
( ~ spl18_23
| spl18_48
| ~ spl18_60 ),
inference(sat_conversion,[],[f3119]) ).
cnf(s422,plain,
( ~ spl18_2
| ~ spl18_3 ),
inference(sat_conversion,[],[f3128]) ).
cnf(s424,plain,
( spl18_18
| ~ spl18_43
| ~ spl18_53 ),
inference(sat_conversion,[],[f3133]) ).
cnf(s432,plain,
( spl18_27
| ~ spl18_45
| ~ spl18_54 ),
inference(sat_conversion,[],[f3166]) ).
cnf(s439,plain,
( ~ spl18_10
| ~ spl18_12 ),
inference(sat_conversion,[],[f3237]) ).
cnf(s443,plain,
( ~ spl18_29
| ~ spl18_32 ),
inference(sat_conversion,[],[f3253]) ).
cnf(s444,plain,
( ~ spl18_45
| ~ spl18_47 ),
inference(sat_conversion,[],[f3255]) ).
cnf(s449,plain,
( ~ spl18_10
| ~ spl18_11 ),
inference(sat_conversion,[],[f3281]) ).
cnf(s452,plain,
( ~ spl18_13
| ~ spl18_14 ),
inference(sat_conversion,[],[f3297]) ).
cnf(s454,plain,
( ~ spl18_166
| ~ spl18_196 ),
inference(sat_conversion,[],[f3306]) ).
cnf(s458,plain,
( ~ spl18_9
| ~ spl18_10 ),
inference(sat_conversion,[],[f3343]) ).
cnf(s460,plain,
( ~ spl18_17
| ~ spl18_19 ),
inference(sat_conversion,[],[f3347]) ).
cnf(s463,plain,
( spl18_9
| ~ spl18_16
| ~ spl18_58 ),
inference(sat_conversion,[],[f3355]) ).
cnf(s465,plain,
( ~ spl18_13
| ~ spl18_16 ),
inference(sat_conversion,[],[f3374]) ).
cnf(s469,plain,
( ~ spl18_190
| ~ spl18_194 ),
inference(sat_conversion,[],[f3394]) ).
cnf(s470,plain,
( ~ spl18_8
| ~ spl18_39
| ~ spl18_52 ),
inference(sat_conversion,[],[f3396]) ).
cnf(s471,plain,
( ~ spl18_41
| ~ spl18_44 ),
inference(sat_conversion,[],[f3416]) ).
cnf(s476,plain,
( ~ spl18_33
| ~ spl18_36 ),
inference(sat_conversion,[],[f3432]) ).
cnf(s478,plain,
( spl18_31
| ~ spl18_46
| ~ spl18_54 ),
inference(sat_conversion,[],[f3439]) ).
cnf(s481,plain,
( ~ spl18_46
| ~ spl18_47 ),
inference(sat_conversion,[],[f3454]) ).
cnf(s488,plain,
( ~ spl18_11
| ~ spl18_12 ),
inference(sat_conversion,[],[f3499]) ).
cnf(s491,plain,
( ~ spl18_30
| ~ spl18_31 ),
inference(sat_conversion,[],[f3525]) ).
cnf(s492,plain,
( ~ spl18_30
| ~ spl18_31 ),
inference(sat_conversion,[],[f3527]) ).
cnf(s499,plain,
( ~ spl18_194
| ~ spl18_198 ),
inference(sat_conversion,[],[f3633]) ).
cnf(s504,plain,
( spl18_5
| ~ spl18_39
| ~ spl18_52 ),
inference(sat_conversion,[],[f3661]) ).
cnf(s511,plain,
( ~ spl18_158
| ~ spl18_195 ),
inference(sat_conversion,[],[f3690]) ).
cnf(s528,plain,
( spl18_9
| ~ spl18_40
| ~ spl18_52 ),
inference(sat_conversion,[],[f3776]) ).
cnf(s534,plain,
( ~ spl18_190
| ~ spl18_198 ),
inference(sat_conversion,[],[f3819]) ).
cnf(s536,plain,
( ~ spl18_1
| ~ spl18_4 ),
inference(sat_conversion,[],[f3828]) ).
cnf(s538,plain,
( ~ spl18_18
| ~ spl18_19 ),
inference(sat_conversion,[],[f3844]) ).
cnf(s543,plain,
( ~ spl18_18
| spl18_31
| ~ spl18_59 ),
inference(sat_conversion,[],[f3859]) ).
cnf(s556,plain,
( spl18_1
| ~ spl18_14
| ~ spl18_58 ),
inference(sat_conversion,[],[f3945]) ).
cnf(s564,plain,
( ~ spl18_29
| ~ spl18_30 ),
inference(sat_conversion,[],[f4004]) ).
cnf(s566,plain,
( ~ spl18_10
| ~ spl18_28
| ~ spl18_61 ),
inference(sat_conversion,[],[f4044]) ).
cnf(s568,plain,
spl18_196,
inference(sat_conversion,[],[f4070]) ).
cnf(s575,plain,
( ~ spl18_2
| ~ spl18_4 ),
inference(sat_conversion,[],[f4139]) ).
cnf(s585,plain,
( ~ spl18_38
| ~ spl18_40 ),
inference(sat_conversion,[],[f4230]) ).
cnf(s589,plain,
( ~ spl18_9
| ~ spl18_12 ),
inference(sat_conversion,[],[f4263]) ).
cnf(s590,plain,
( ~ spl18_29
| ~ spl18_31 ),
inference(sat_conversion,[],[f4265]) ).
cnf(s598,plain,
( ~ spl18_33
| ~ spl18_34 ),
inference(sat_conversion,[],[f4304]) ).
cnf(s605,plain,
( spl18_1
| ~ spl18_38
| ~ spl18_52 ),
inference(sat_conversion,[],[f4344]) ).
cnf(s607,plain,
( ~ spl18_1
| ~ spl18_2 ),
inference(sat_conversion,[],[f4356]) ).
cnf(s617,plain,
( ~ spl18_42
| ~ spl18_43 ),
inference(sat_conversion,[],[f4399]) ).
cnf(s627,plain,
( ~ spl18_45
| ~ spl18_48 ),
inference(sat_conversion,[],[f4498]) ).
cnf(s642,plain,
( ~ spl18_14
| ~ spl18_41
| spl18_53 ),
inference(sat_conversion,[],[f4543]) ).
cnf(s646,plain,
( ~ spl18_41
| ~ spl18_43 ),
inference(sat_conversion,[],[f4616]) ).
cnf(s653,plain,
( ~ spl18_87
| spl18_94 ),
inference(sat_conversion,[],[f4710]) ).
cnf(s655,plain,
( ~ spl18_76
| ~ spl18_79 ),
inference(sat_conversion,[],[f4740]) ).
cnf(s657,plain,
( ~ spl18_72
| ~ spl18_98
| spl18_143 ),
inference(sat_conversion,[],[f4767]) ).
cnf(s664,plain,
( ~ spl18_71
| spl18_93
| ~ spl18_136 ),
inference(sat_conversion,[],[f4787]) ).
cnf(s666,plain,
( ~ spl18_88
| ~ spl18_89 ),
inference(sat_conversion,[],[f4802]) ).
cnf(s668,plain,
( ~ spl18_65
| ~ spl18_112
| ~ spl18_131 ),
inference(sat_conversion,[],[f4811]) ).
cnf(s670,plain,
( ~ spl18_72
| ~ spl18_73 ),
inference(sat_conversion,[],[f4845]) ).
cnf(s672,plain,
( ~ spl18_84
| ~ spl18_87 ),
inference(sat_conversion,[],[f4849]) ).
cnf(s676,plain,
( ~ spl18_66
| ~ spl18_112
| ~ spl18_131 ),
inference(sat_conversion,[],[f4888]) ).
cnf(s682,plain,
( ~ spl18_116
| ~ spl18_118 ),
inference(sat_conversion,[],[f4920]) ).
cnf(s686,plain,
( ~ spl18_125
| ~ spl18_127 ),
inference(sat_conversion,[],[f4959]) ).
cnf(s689,plain,
( ~ spl18_95
| spl18_127
| ~ spl18_142 ),
inference(sat_conversion,[],[f4970]) ).
cnf(s705,plain,
( ~ spl18_79
| spl18_127
| ~ spl18_138 ),
inference(sat_conversion,[],[f5059]) ).
cnf(s707,plain,
( ~ spl18_97
| ~ spl18_99 ),
inference(sat_conversion,[],[f5079]) ).
cnf(s717,plain,
( spl18_110
| ~ spl18_123
| ~ spl18_133 ),
inference(sat_conversion,[],[f5118]) ).
cnf(s718,plain,
( spl18_68
| ~ spl18_113
| ~ spl18_131 ),
inference(sat_conversion,[],[f5142]) ).
cnf(s719,plain,
( ~ spl18_102
| ~ spl18_105
| spl18_145 ),
inference(sat_conversion,[],[f5146]) ).
cnf(s724,plain,
( ~ spl18_72
| spl18_98
| ~ spl18_137 ),
inference(sat_conversion,[],[f5167]) ).
cnf(s729,plain,
( spl18_102
| ~ spl18_121
| ~ spl18_133 ),
inference(sat_conversion,[],[f5200]) ).
cnf(s734,plain,
( ~ spl18_64
| ~ spl18_67 ),
inference(sat_conversion,[],[f5259]) ).
cnf(s742,plain,
( ~ spl18_70
| spl18_89
| ~ spl18_136 ),
inference(sat_conversion,[],[f5308]) ).
cnf(s751,plain,
( ~ spl18_122
| ~ spl18_123 ),
inference(sat_conversion,[],[f5378]) ).
cnf(s753,plain,
( spl18_76
| ~ spl18_99
| ~ spl18_143 ),
inference(sat_conversion,[],[f5385]) ).
cnf(s754,plain,
( ~ spl18_107
| spl18_110
| ~ spl18_145 ),
inference(sat_conversion,[],[f5391]) ).
cnf(s755,plain,
( ~ spl18_106
| ~ spl18_107 ),
inference(sat_conversion,[],[f5396]) ).
cnf(s766,plain,
( ~ spl18_87
| ~ spl18_117
| ~ spl18_132 ),
inference(sat_conversion,[],[f5459]) ).
cnf(s774,plain,
( spl18_35
| ~ spl18_181
| ~ spl18_197 ),
inference(sat_conversion,[],[f5670]) ).
cnf(s775,plain,
( ~ spl18_33
| spl18_173
| ~ spl18_197 ),
inference(sat_conversion,[],[f5673]) ).
cnf(s777,plain,
spl18_169,
inference(sat_conversion,[],[f5685]) ).
cnf(s778,plain,
( spl18_9
| ~ spl18_149
| ~ spl18_195 ),
inference(sat_conversion,[],[f5692]) ).
cnf(s799,plain,
( ~ spl18_10
| ~ spl18_33
| spl18_176
| ~ spl18_197 ),
inference(sat_conversion,[],[f5861]) ).
cnf(s802,plain,
( ~ spl18_1
| ~ spl18_98
| ~ spl18_173
| ~ spl18_176
| spl18_222 ),
inference(sat_conversion,[],[f5870]) ).
cnf(s803,plain,
( ~ spl18_67
| ~ spl18_176
| ~ spl18_197
| spl18_219 ),
inference(sat_conversion,[],[f5878]) ).
cnf(s804,plain,
( ~ spl18_23
| ~ spl18_77
| ~ spl18_176
| ~ spl18_197
| spl18_221 ),
inference(sat_conversion,[],[f5888]) ).
cnf(s805,plain,
( ~ spl18_13
| ~ spl18_74
| ~ spl18_173
| ~ spl18_176
| spl18_220 ),
inference(sat_conversion,[],[f5898]) ).
cnf(s806,plain,
( ~ spl18_10
| ~ spl18_108
| ~ spl18_173
| ~ spl18_176
| ~ spl18_197
| spl18_224 ),
inference(sat_conversion,[],[f5908]) ).
cnf(s807,plain,
( ~ spl18_107
| ~ spl18_173
| ~ spl18_195
| ~ spl18_197
| spl18_223 ),
inference(sat_conversion,[],[f5918]) ).
cnf(s808,plain,
( ~ spl18_38
| ~ spl18_120
| ~ spl18_173
| ~ spl18_176
| ~ spl18_197
| spl18_226 ),
inference(sat_conversion,[],[f5927]) ).
cnf(s809,plain,
( ~ spl18_43
| ~ spl18_113
| ~ spl18_176
| ~ spl18_197
| spl18_225 ),
inference(sat_conversion,[],[f5937]) ).
cnf(s810,plain,
( ~ spl18_45
| ~ spl18_118
| ~ spl18_173
| ~ spl18_197
| spl18_228 ),
inference(sat_conversion,[],[f5946]) ).
cnf(s811,plain,
( ~ spl18_127
| ~ spl18_197
| ~ spl18_198
| ~ spl18_199
| spl18_227 ),
inference(sat_conversion,[],[f5954]) ).
cnf(s812,plain,
( ~ spl18_33
| ~ spl18_94
| ~ spl18_173
| ~ spl18_197
| spl18_230 ),
inference(sat_conversion,[],[f5962]) ).
cnf(s813,plain,
( ~ spl18_7
| ~ spl18_101
| ~ spl18_173
| spl18_229 ),
inference(sat_conversion,[],[f5970]) ).
cnf(s814,plain,
( ~ spl18_87
| spl18_232 ),
inference(sat_conversion,[],[f5974]) ).
cnf(s815,plain,
( ~ spl18_27
| ~ spl18_89
| ~ spl18_173
| spl18_231 ),
inference(sat_conversion,[],[f5981]) ).
cnf(s816,plain,
( ~ spl18_18
| ~ spl18_68
| ~ spl18_176
| spl18_234 ),
inference(sat_conversion,[],[f5989]) ).
cnf(s817,plain,
( ~ spl18_30
| ~ spl18_80
| ~ spl18_176
| spl18_233 ),
inference(sat_conversion,[],[f5997]) ).
cnf(s823,plain,
( spl18_33
| ~ spl18_196 ),
inference(sat_conversion,[],[f6045]) ).
cnf(s828,plain,
( spl18_23
| ~ spl18_169 ),
inference(sat_conversion,[],[f6086]) ).
cnf(s831,plain,
( spl18_44
| ~ spl18_190
| ~ spl18_199 ),
inference(sat_conversion,[],[f6096]) ).
cnf(s850,plain,
( ~ spl18_10
| ~ spl18_190 ),
inference(sat_conversion,[],[f6149]) ).
cnf(s852,plain,
( ~ spl18_13
| ~ spl18_37 ),
inference(sat_conversion,[],[f6152]) ).
cnf(s857,plain,
( ~ spl18_23
| ~ spl18_35 ),
inference(sat_conversion,[],[f6154]) ).
cnf(s860,plain,
( ~ spl18_27
| ~ spl18_182 ),
inference(sat_conversion,[],[f6159]) ).
cnf(s865,plain,
( ~ spl18_33
| ~ spl18_174 ),
inference(sat_conversion,[],[f6161]) ).
cnf(s867,plain,
( ~ spl18_38
| ~ spl18_190 ),
inference(sat_conversion,[],[f6163]) ).
cnf(s870,plain,
( ~ spl18_66
| spl18_72
| ~ spl18_135 ),
inference(sat_conversion,[],[f6171]) ).
cnf(s877,plain,
( ~ spl18_87
| ~ spl18_103 ),
inference(sat_conversion,[],[f6251]) ).
cnf(s878,plain,
( ~ spl18_87
| ~ spl18_91 ),
inference(sat_conversion,[],[f6261]) ).
cnf(s884,plain,
( spl18_14
| ~ spl18_72
| ~ spl18_173
| ~ spl18_176
| ~ spl18_220 ),
inference(sat_conversion,[],[f6387]) ).
cnf(s901,plain,
( ~ spl18_94
| ~ spl18_126 ),
inference(sat_conversion,[],[f6458]) ).
cnf(s903,plain,
( ~ spl18_87
| ~ spl18_119 ),
inference(sat_conversion,[],[f6465]) ).
cnf(s906,plain,
( ~ spl18_87
| spl18_108 ),
inference(sat_conversion,[],[f6478]) ).
cnf(s907,plain,
( ~ spl18_76
| ~ spl18_77 ),
inference(sat_conversion,[],[f6501]) ).
cnf(s911,plain,
( ~ spl18_77
| ~ spl18_99
| ~ spl18_143 ),
inference(sat_conversion,[],[f6544]) ).
cnf(s919,plain,
spl18_23,
inference(rat,[],[s828,s777]) ).
cnf(s920,plain,
~ spl18_35,
inference(rat,[],[s857,s919]) ).
cnf(s921,plain,
( ~ spl18_181
| ~ spl18_197 ),
inference(rat,[],[s774,s920]) ).
cnf(s923,plain,
spl18_33,
inference(rat,[],[s823,s568]) ).
cnf(s924,plain,
~ spl18_174,
inference(rat,[],[s865,s923]) ).
cnf(s925,plain,
~ spl18_34,
inference(rat,[],[s598,s923]) ).
cnf(s928,plain,
~ spl18_36,
inference(rat,[],[s476,s923]) ).
cnf(s929,plain,
~ spl18_166,
inference(rat,[],[s454,s568]) ).
cnf(s930,plain,
( spl18_48
| ~ spl18_60 ),
inference(rat,[],[s421,s919]) ).
cnf(s933,plain,
~ spl18_170,
inference(rat,[],[s261,s568]) ).
cnf(s935,plain,
~ spl18_21,
inference(rat,[],[s259,s919]) ).
cnf(s936,plain,
~ spl18_162,
inference(rat,[],[s258,s568]) ).
cnf(s937,plain,
~ spl18_24,
inference(rat,[],[s247,s919]) ).
cnf(s938,plain,
~ spl18_22,
inference(rat,[],[s244,s919]) ).
cnf(s940,plain,
( ~ spl18_8
| ~ spl18_56 ),
inference(rat,[],[s206,s920]) ).
cnf(s943,plain,
( spl18_12
| spl18_198 ),
inference(rat,[],[s156,s928,s937]) ).
cnf(s944,plain,
( spl18_10
| spl18_190 ),
inference(rat,[],[s152,s925,s938]) ).
cnf(s945,plain,
( spl18_28
| spl18_32
| spl18_197 ),
inference(rat,[],[s149,s928]) ).
cnf(s947,plain,
( spl18_26
| spl18_30
| spl18_178 ),
inference(rat,[],[s145,s925]) ).
cnf(s948,plain,
( spl18_5
| spl18_17
| spl18_45 ),
inference(rat,[],[s142,s924]) ).
cnf(s949,plain,
( spl18_3
| spl18_31
| spl18_43 ),
inference(rat,[],[s138,s933]) ).
cnf(s950,plain,
( spl18_14
| spl18_18 ),
inference(rat,[],[s137,s929,s938]) ).
cnf(s951,plain,
( spl18_2
| spl18_30
| spl18_42 ),
inference(rat,[],[s136,s929]) ).
cnf(s952,plain,
( spl18_13
| spl18_17 ),
inference(rat,[],[s135,s936,s935]) ).
cnf(s953,plain,
( spl18_1
| spl18_29
| spl18_41 ),
inference(rat,[],[s134,s936]) ).
cnf(s955,plain,
spl18_108,
inference(rat,[],[s906,s89]) ).
cnf(s956,plain,
~ spl18_119,
inference(rat,[],[s903,s89]) ).
cnf(s957,plain,
~ spl18_91,
inference(rat,[],[s878,s89]) ).
cnf(s958,plain,
~ spl18_103,
inference(rat,[],[s877,s89]) ).
cnf(s959,plain,
spl18_232,
inference(rat,[],[s814,s89]) ).
cnf(s961,plain,
~ spl18_84,
inference(rat,[],[s672,s89]) ).
cnf(s962,plain,
spl18_94,
inference(rat,[],[s653,s89]) ).
cnf(s963,plain,
~ spl18_86,
inference(rat,[],[s190,s89]) ).
cnf(s964,plain,
~ spl18_85,
inference(rat,[],[s186,s89]) ).
cnf(s965,plain,
~ spl18_111,
inference(rat,[],[s413,s955]) ).
cnf(s966,plain,
~ spl18_110,
inference(rat,[],[s412,s955]) ).
cnf(s967,plain,
~ spl18_109,
inference(rat,[],[s407,s955]) ).
cnf(s968,plain,
~ spl18_126,
inference(rat,[],[s901,s962]) ).
cnf(s969,plain,
~ spl18_92,
inference(rat,[],[s399,s962]) ).
cnf(s970,plain,
~ spl18_93,
inference(rat,[],[s317,s962]) ).
cnf(s971,plain,
~ spl18_129,
inference(rat,[],[s82,s349]) ).
cnf(s972,plain,
( spl18_128
| spl18_130
| spl18_134 ),
inference(rat,[],[s76,s971]) ).
cnf(s973,plain,
( spl18_128
| spl18_130
| spl18_133 ),
inference(rat,[],[s75,s971]) ).
cnf(s974,plain,
( spl18_128
| spl18_130
| spl18_132 ),
inference(rat,[],[s74,s971]) ).
cnf(s975,plain,
( spl18_128
| spl18_130
| spl18_131 ),
inference(rat,[],[s73,s971]) ).
cnf(s976,plain,
( spl18_115
| spl18_123
| spl18_127 ),
inference(rat,[],[s72,s956]) ).
cnf(s977,plain,
( spl18_79
| spl18_95
| spl18_127 ),
inference(rat,[],[s71,s965]) ).
cnf(s978,plain,
( spl18_114
| spl18_118
| spl18_122 ),
inference(rat,[],[s70,s968]) ).
cnf(s979,plain,
( spl18_77
| spl18_125 ),
inference(rat,[],[s67,s967,s970]) ).
cnf(s980,plain,
( spl18_99
| spl18_107 ),
inference(rat,[],[s64,s965,s958]) ).
cnf(s981,plain,
( spl18_75
| spl18_107
| spl18_123 ),
inference(rat,[],[s63,s957]) ).
cnf(s983,plain,
( spl18_97
| spl18_101
| spl18_105 ),
inference(rat,[],[s60,s967]) ).
cnf(s984,plain,
( spl18_70
| spl18_102
| spl18_118 ),
inference(rat,[],[s53,s963]) ).
cnf(s985,plain,
( spl18_81
| spl18_89 ),
inference(rat,[],[s52,s970,s964]) ).
cnf(s986,plain,
( spl18_69
| spl18_101
| spl18_117 ),
inference(rat,[],[s51,s964]) ).
cnf(s987,plain,
( spl18_80
| spl18_88 ),
inference(rat,[],[s50,s969,s961]) ).
cnf(s993,plain,
( ~ spl18_53
| spl18_18
| spl18_3
| spl18_2 ),
inference(rat,[],[s491,s949,s951,s424,s420]) ).
cnf(s999,plain,
( ~ spl18_44
| spl18_3
| spl18_1 ),
inference(rat,[],[s590,s949,s953,s284,s471]) ).
cnf(s1001,plain,
( ~ spl18_29
| spl18_3
| spl18_2 ),
inference(rat,[],[s617,s951,s949,s564,s590]) ).
cnf(s1002,plain,
( spl18_3
| spl18_2
| spl18_1 ),
inference(rat,[],[s491,s951,s949,s290,s646,s953,s1001]) ).
cnf(s1003,plain,
( spl18_50
| spl18_51
| spl18_31
| spl18_42
| spl18_190
| spl18_49
| spl18_1 ),
inference(rat,[],[s153,s605,s478,s13,s15]) ).
cnf(s1004,plain,
( spl18_51
| spl18_31
| spl18_1
| spl18_42
| spl18_190
| spl18_49 ),
inference(rat,[],[s950,s556,s543,s19,s20,s1003]) ).
cnf(s1005,plain,
( spl18_42
| spl18_190
| spl18_49
| spl18_2
| spl18_1 ),
inference(rat,[],[s1004,s23,s214,s492,s951]) ).
cnf(s1006,plain,
( ~ spl18_50
| spl18_31
| spl18_1 ),
inference(rat,[],[s950,s556,s543,s19,s20]) ).
cnf(s1007,plain,
( ~ spl18_10
| spl18_49
| spl18_2
| spl18_1 ),
inference(rat,[],[s945,s566,s921,s22,s161,s14,s1006,s443,s590,s953,s290,s420,s1005,s850]) ).
cnf(s1008,plain,
( ~ spl18_31
| spl18_2
| spl18_1 ),
inference(rat,[],[s289,s951,s953,s492,s590]) ).
cnf(s1009,plain,
( ~ spl18_30
| ~ spl18_190
| spl18_49
| spl18_50
| spl18_1 ),
inference(rat,[],[s831,s158,s471,s23,s953,s214,s564]) ).
cnf(s1010,plain,
( spl18_49
| spl18_2
| spl18_1 ),
inference(rat,[],[s945,s224,s921,s443,s22,s161,s953,s14,s290,s420,s951,s1009,s943,s534,s944,s1007,s1006,s1008]) ).
cnf(s1011,plain,
( spl18_198
| ~ spl18_57 ),
inference(rat,[],[s417,s943]) ).
cnf(s1012,plain,
( spl18_2
| spl18_1 ),
inference(rat,[],[s133,s778,s439,s458,s944,s534,s1011,s940,s17,s18,s159,s1010,s192,s1002]) ).
cnf(s1013,plain,
( ~ spl18_52
| spl18_43
| spl18_42
| ~ spl18_10
| spl18_1 ),
inference(rat,[],[s511,s131,s133,s234,s470,s504,s155,s481,s153,s605,s575,s422,s1012,s850,s449,s499,s943,s439]) ).
cnf(s1014,plain,
( ~ spl18_50
| spl18_30
| spl18_42
| ~ spl18_10
| spl18_1 ),
inference(rat,[],[s219,s947,s132,s246,s511,s146,s131,s234,s948,s585,s202,s538,s153,s950,s221,s297,s627,s556,s463,s930,s19,s21,s422,s1012,s850,s458,s449]) ).
cnf(s1015,plain,
( ~ spl18_51
| ~ spl18_10 ),
inference(rat,[],[s945,s566,s250,s921,s22,s23,s161,s938]) ).
cnf(s1016,plain,
( spl18_42
| ~ spl18_10
| spl18_1 ),
inference(rat,[],[s1013,s13,s646,s1014,s953,s492,s590,s1004,s16,s184,s1012,s850,s1015]) ).
cnf(s1017,plain,
( ~ spl18_42
| spl18_1 ),
inference(rat,[],[s590,s953,s949,s290,s617,s422,s1012]) ).
cnf(s1018,plain,
( ~ spl18_50
| spl18_1 ),
inference(rat,[],[s219,s128,s132,s236,s511,s131,s285,s234,s155,s948,s646,s202,s953,s950,s221,s627,s590,s556,s463,s930,s1006,s19,s21,s422,s1012,s867,s469,s589,s488,s943,s534,s944,s1016,s1017]) ).
cnf(s1019,plain,
spl18_1,
inference(rat,[],[s945,s224,s250,s921,s22,s23,s161,s158,s1018,s943,s831,s534,s944,s1016,s1017,s16,s999,s184,s422,s1012,s938]) ).
cnf(s1020,plain,
~ spl18_2,
inference(rat,[],[s607,s1019]) ).
cnf(s1021,plain,
~ spl18_4,
inference(rat,[],[s536,s1019]) ).
cnf(s1022,plain,
~ spl18_3,
inference(rat,[],[s281,s1019]) ).
cnf(s1024,plain,
( ~ spl18_76
| spl18_70
| spl18_69
| spl18_66
| spl18_65 ),
inference(rat,[],[s298,s46,s44,s344,s907]) ).
cnf(s1026,plain,
( spl18_72
| ~ spl18_70
| spl18_69
| spl18_68
| spl18_65
| spl18_64 ),
inference(rat,[],[s395,s61,s57,s351,s666,s742,s78,s972,s87,s416,s754,s755,s981,s382,s689,s977,s299,s389,s397,s686,s44,s979,s655,s907,s42,s966,s962,s956]) ).
cnf(s1027,plain,
( spl18_106
| spl18_90
| spl18_75
| spl18_128
| spl18_74 ),
inference(rat,[],[s87,s754,s973,s981,s337,s751,s61,s966]) ).
cnf(s1028,plain,
( spl18_107
| spl18_75
| spl18_128
| ~ spl18_77 ),
inference(rat,[],[s973,s85,s717,s911,s981,s980,s966]) ).
cnf(s1029,plain,
~ spl18_90,
inference(rat,[],[s310,s987,s985,s319,s351]) ).
cnf(s1030,plain,
( spl18_75
| ~ spl18_77
| spl18_74 ),
inference(rat,[],[s755,s1027,s1028,s80,s358,s1029,s956]) ).
cnf(s1031,plain,
( ~ spl18_130
| spl18_76 ),
inference(rat,[],[s980,s753,s754,s85,s87,s966]) ).
cnf(s1032,plain,
( ~ spl18_98
| ~ spl18_75
| ~ spl18_72 ),
inference(rat,[],[s352,s657]) ).
cnf(s1033,plain,
( spl18_106
| ~ spl18_133
| spl18_74 ),
inference(rat,[],[s337,s61,s1029]) ).
cnf(s1034,plain,
( ~ spl18_113
| spl18_120
| spl18_124
| spl18_117
| ~ spl18_131 ),
inference(rat,[],[s984,s325,s682,s986,s66,s185,s187,s306]) ).
cnf(s1035,plain,
( ~ spl18_77
| spl18_74
| ~ spl18_72 ),
inference(rat,[],[s43,s380,s668,s45,s676,s37,s1034,s707,s980,s755,s1033,s332,s1032,s341,s342,s360,s766,s975,s974,s973,s972,s1031,s1030,s80,s358,s907,s89,s956]) ).
cnf(s1036,plain,
~ spl18_130,
inference(rat,[],[s338,s43,s45,s310,s312,s987,s666,s411,s366,s983,s321,s707,s980,s340,s381,s353,s754,s393,s86,s87,s88,s89,s966,s955]) ).
cnf(s1037,plain,
( ~ spl18_72
| ~ spl18_176
| ~ spl18_173
| ~ spl18_13 ),
inference(rat,[],[s328,s48,s44,s352,s657,s664,s372,s724,s705,s78,s79,s80,s972,s397,s686,s979,s1035,s805,s670,s884,s452,s970,s89,s1036,s956]) ).
cnf(s1038,plain,
( spl18_74
| ~ spl18_77
| spl18_72 ),
inference(rat,[],[s45,s380,s676,s985,s37,s666,s1034,s57,s332,s321,s980,s400,s755,s342,s1033,s1030,s973,s766,s974,s341,s360,s975,s972,s80,s358,s1036,s956,s89]) ).
cnf(s1039,plain,
( spl18_98
| ~ spl18_77
| spl18_72 ),
inference(rat,[],[s379,s45,s985,s676,s666,s66,s57,s332,s341,s360,s972,s416,s682,s978,s336,s1028,s301,s973,s326,s1038,s975,s80,s358,s1036,s956]) ).
cnf(s1040,plain,
( ~ spl18_102
| spl18_97
| spl18_145 ),
inference(rat,[],[s983,s325,s719]) ).
cnf(s1041,plain,
( ~ spl18_77
| ~ spl18_224
| ~ spl18_176
| ~ spl18_195
| ~ spl18_27
| ~ spl18_38
| ~ spl18_18
| ~ spl18_199
| ~ spl18_30
| ~ spl18_198 ),
inference(rat,[],[s815,s985,s174,s310,s817,s41,s734,s803,s813,s48,s986,s334,s816,s808,s185,s306,s718,s809,s39,s68,s729,s1040,s309,s355,s802,s1039,s810,s978,s336,s754,s807,s1028,s301,s326,s805,s1038,s811,s976,s360,s766,s717,s397,s975,s974,s973,s972,s80,s307,s358,s804,s146,s860,s444,s151,s269,s646,s949,s492,s278,s538,s812,s109,s111,s1037,s775,s945,s282,s287,s952,s202,s164,s959,s1019,s966,s89,s956,s1036,s919,s923,s962,s1022]) ).
cnf(s1043,plain,
( ~ spl18_75
| spl18_66
| spl18_77 ),
inference(rat,[],[s330,s373,s46,s44,s301,s389,s77,s372,s78,s347,s382,s689,s977,s705,s686,s80,s972,s397,s979,s1036,s956,s962,s89]) ).
cnf(s1044,plain,
( spl18_50
| spl18_42
| ~ spl18_10
| spl18_49 ),
inference(rat,[],[s1026,s331,s1024,s329,s734,s48,s1043,s28,s347,s382,s689,s977,s870,s664,s372,s705,s77,s78,s80,s972,s397,s686,s979,s1041,s1037,s806,s799,s775,s132,s945,s282,s432,s465,s151,s952,s269,s202,s153,s424,s528,s478,s14,s13,s15,s158,s850,s458,s1015,s278,s943,s439,s287,s646,s949,s492,s951,s962,s970,s89,s1036,s956,s955,s923,s1022,s1020]) ).
cnf(s1045,plain,
( spl18_42
| ~ spl18_10
| spl18_49 ),
inference(rat,[],[s269,s153,s151,s297,s627,s930,s21,s1044,s646,s949,s492,s951,s850,s278,s943,s439,s1022,s1020]) ).
cnf(s1046,plain,
( ~ spl18_10
| spl18_49 ),
inference(rat,[],[s274,s155,s151,s221,s627,s930,s21,s14,s290,s420,s617,s1045,s278,s499,s943,s1015,s439]) ).
cnf(s1047,plain,
( ~ spl18_30
| ~ spl18_18
| spl18_49 ),
inference(rat,[],[s158,s831,s20,s284,s23,s543,s949,s214,s492,s944,s1046,s1022]) ).
cnf(s1048,plain,
( ~ spl18_13
| spl18_49 ),
inference(rat,[],[s285,s155,s157,s444,s627,s151,s216,s290,s617,s951,s1047,s950,s452,s852,s534,s469,s256,s944,s1046,s1020]) ).
cnf(s1049,plain,
( ~ spl18_30
| spl18_49 ),
inference(rat,[],[s144,s194,s263,s146,s945,s860,s221,s297,s222,s225,s930,s20,s21,s14,s23,s214,s287,s460,s993,s202,s952,s1048,s1020,s1022]) ).
cnf(s1050,plain,
spl18_49,
inference(rat,[],[s274,s155,s151,s221,s627,s930,s21,s14,s23,s226,s949,s617,s951,s1049,s642,s993,s950,s202,s952,s1048,s256,s469,s944,s1046,s1022,s1020]) ).
cnf(s1051,plain,
spl18_149,
inference(rat,[],[s159,s1050]) ).
cnf(s1052,plain,
spl18_57,
inference(rat,[],[s18,s1050]) ).
cnf(s1053,plain,
spl18_56,
inference(rat,[],[s17,s1050]) ).
cnf(s1055,plain,
spl18_198,
inference(rat,[],[s1011,s1052]) ).
cnf(s1056,plain,
~ spl18_8,
inference(rat,[],[s940,s1053]) ).
cnf(s1061,plain,
~ spl18_190,
inference(rat,[],[s534,s1055]) ).
cnf(s1065,plain,
spl18_10,
inference(rat,[],[s944,s1061]) ).
cnf(s1068,plain,
~ spl18_9,
inference(rat,[],[s458,s1065]) ).
cnf(s1070,plain,
~ spl18_12,
inference(rat,[],[s439,s1065]) ).
cnf(s1076,plain,
~ spl18_195,
inference(rat,[],[s778,s1051,s1068]) ).
cnf(s1077,plain,
$false,
inference(rat,[],[s133,s1056,s1021,s1070,s1076]) ).
fof(f6568,plain,
$false,
inference(avatar_sat_refutation,[],[s1077]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG107+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n019.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 19:28:19 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 3.03/1.12 % (144862)Detected formulas, will run a generic FOF schedule.
% 3.03/1.12 % (144871)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3322101333:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.03/1.12 % (144869)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=2890101732:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.03/1.12 % (144871)Instruction limit reached!
% 3.03/1.12 % (144871)------------------------------
% 3.03/1.12 % (144871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.12 % (144871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.12 % (144871)CaDiCaL version: 2.1.3
% 3.03/1.12 % (144871)Termination reason: Instruction limit
% 3.03/1.12 % (144871)Termination phase: Saturation
% 3.03/1.12 % (144871)Time elapsed: 0.028 s
% 3.03/1.12 % (144871)Peak memory usage: 88 MB
% 3.03/1.12 % (144871)Instructions burned: 123 (million)
% 3.03/1.12 % (144868)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=1617476089:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.03/1.12 % (144867)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=4209717575:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.03/1.12 % (144872)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=184936142:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.03/1.12 % (144870)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1711882549:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.03/1.12 % (144873)dis-21_1_sil=8000:lcm=predicate:random_seed=1415004314: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)
% 3.03/1.12 % (144873)Refutation not found, incomplete strategy
% 3.03/1.12 % (144873)------------------------------
% 3.03/1.12 % (144873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.12 % (144873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.12 % (144873)CaDiCaL version: 2.1.3
% 3.03/1.12 % (144873)Termination reason: Refutation not found, incomplete strategy
% 3.03/1.12 % (144873)Time elapsed: 0.016 s
% 3.03/1.12 % (144873)Peak memory usage: 89 MB
% 3.03/1.12 % (144873)Instructions burned: 31 (million)
% 3.03/1.12 % (144870)Refutation not found, incomplete strategy
% 3.03/1.12 % (144870)------------------------------
% 3.03/1.12 % (144870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.12 % (144870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.12 % (144870)CaDiCaL version: 2.1.3
% 3.03/1.12 % (144870)Termination reason: Refutation not found, incomplete strategy
% 3.03/1.12 % (144870)Time elapsed: 0.051 s
% 3.03/1.12 % (144870)Peak memory usage: 90 MB
% 3.03/1.12 % (144870)Instructions burned: 109 (million)
% 3.03/1.12 % (144872)Instruction limit reached!
% 3.03/1.12 % (144872)------------------------------
% 3.03/1.12 % (144872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.12 % (144872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.12 % (144872)CaDiCaL version: 2.1.3
% 3.03/1.12 % (144872)Termination reason: Instruction limit
% 3.03/1.12 % (144872)Termination phase: Saturation
% 3.03/1.12 % (144872)Time elapsed: 0.072 s
% 3.03/1.12 % (144872)Peak memory usage: 90 MB
% 3.03/1.12 % (144872)Instructions burned: 139 (million)
% 3.03/1.12 % (144879)lrs+10_1_sil=8000:sp=occurrence:random_seed=3609125064:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.03/1.12 % (144879)First to succeed.
% 3.03/1.12 % (144879)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-144862"
% 3.03/1.12 % (144882)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2781335927:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.03/1.12 % (144873)------------------------------
% 3.03/1.12 % (144873)------------------------------
% 3.03/1.12 % (144882)Instruction limit reached!
% 3.03/1.12 % (144882)------------------------------
% 3.03/1.12 % (144882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.12 % (144882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.12 % (144882)CaDiCaL version: 2.1.3
% 3.03/1.12 % (144882)Termination reason: Instruction limit
% 3.03/1.12 % (144882)Termination phase: Saturation
% 3.03/1.12 % (144882)Time elapsed: 0.081 s
% 3.03/1.12 % (144882)Peak memory usage: 90 MB
% 3.03/1.12 % (144882)Instructions burned: 159 (million)
% 3.03/1.12 % (144870)------------------------------
% 3.03/1.12 % (144870)------------------------------
% 3.03/1.12 % (144879)Refutation found. Thanks to Tanya!
% 3.03/1.12 % SZS status Theorem for theBenchmark
% 3.03/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 3.83/1.23 % (144879)------------------------------
% 3.83/1.23 % (144879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.23 % (144879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.23 % (144879)CaDiCaL version: 2.1.3
% 3.83/1.23 % (144879)Termination reason: Refutation
% 3.83/1.23 % (144879)Time elapsed: 0.077 s
% 3.83/1.23 % (144879)Peak memory usage: 91 MB
% 3.83/1.23 % (144879)Instructions burned: 277 (million)
% 3.83/1.23 % (144879)------------------------------
% 3.83/1.23 % (144879)------------------------------
% 3.83/1.23 % (144862)Success in time 0.471 s
% 3.83/1.23 % Vampire exiting
%------------------------------------------------------------------------------