%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG037+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 : n012.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 09:08:14 AM UTC 2026
% Result : Theorem 2.60s 0.77s
% Output : Refutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 169
% Syntax : Number of formulae : 926 ( 160 unt; 154 def)
% Number of atoms : 4563 (2857 equ)
% Maximal formula atoms : 384 ( 4 avg)
% Number of connectives : 5909 (2272 ~;2582 |; 943 &)
% ( 112 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 156 ( 154 usr; 155 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
( op1(unit1,e10) = e10
& op1(e10,unit1) = e10
& op1(unit1,e11) = e11
& op1(e11,unit1) = e11
& op1(unit1,e12) = e12
& op1(e12,unit1) = e12
& op1(unit1,e13) = e13
& op1(e13,unit1) = e13
& ( unit1 = e10
| unit1 = e11
| unit1 = e12
| unit1 = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,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',ax3) ).
fof(f5,axiom,
( op2(unit2,e20) = e20
& op2(e20,unit2) = e20
& op2(unit2,e21) = e21
& op2(e21,unit2) = e21
& op2(unit2,e22) = e22
& op2(e22,unit2) = e22
& op2(unit2,e23) = e23
& op2(e23,unit2) = e23
& ( unit2 = e20
| unit2 = e21
| unit2 = e22
| unit2 = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,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',ax6) ).
fof(f9,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f10,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f12,axiom,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( e10 = op1(e11,e11)
& e12 = op1(e13,e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( e20 = op2(e21,e21)
& e22 = op2(e23,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f22,axiom,
( h7(e11) = e22
& h7(e13) = e20
& h7(e10) = op2(e22,e22)
& h7(e12) = op2(e20,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f24,axiom,
( h9(e11) = e22
& h9(e13) = e23
& h9(e10) = op2(e22,e22)
& h9(e12) = op2(e23,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
( h10(e11) = e23
& h10(e13) = e20
& h10(e10) = op2(e23,e23)
& h10(e12) = op2(e20,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f27,axiom,
( h12(e11) = e23
& h12(e13) = e22
& h12(e10) = op2(e23,e23)
& h12(e12) = op2(e22,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f28,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 ) )
| ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
| ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
| ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
| ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
| ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
| ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
| ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
| ( h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(e13) = e21 )
& ( h12(e10) = e22
| h12(e11) = e22
| h12(e12) = e22
| h12(e13) = e22 )
& ( h12(e10) = e23
| h12(e11) = e23
| h12(e12) = e23
| h12(e13) = e23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f29,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 ) )
| ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
| ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
| ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
| ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
| ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
| ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
| ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
| ( h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(e13) = e21 )
& ( h12(e10) = e22
| h12(e11) = e22
| h12(e12) = e22
| h12(e13) = e22 )
& ( h12(e10) = e23
| h12(e11) = e23
| h12(e12) = e23
| h12(e13) = e23 ) ) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f30,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) ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( e20 != h5(e10)
& e20 != h5(e11)
& e20 != h5(e12)
& e20 != h5(e13) )
| ( e21 != h5(e10)
& e21 != h5(e11)
& e21 != h5(e12)
& e21 != h5(e13) )
| ( e22 != h5(e10)
& e22 != h5(e11)
& e22 != h5(e12)
& e22 != h5(e13) )
| ( e23 != h5(e10)
& e23 != h5(e11)
& e23 != h5(e12)
& e23 != h5(e13) ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( e20 != h6(e10)
& e20 != h6(e11)
& e20 != h6(e12)
& e20 != h6(e13) )
| ( e21 != h6(e10)
& e21 != h6(e11)
& e21 != h6(e12)
& e21 != h6(e13) )
| ( e22 != h6(e10)
& e22 != h6(e11)
& e22 != h6(e12)
& e22 != h6(e13) )
| ( e23 != h6(e10)
& e23 != h6(e11)
& e23 != h6(e12)
& e23 != h6(e13) ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( e20 != h7(e10)
& e20 != h7(e11)
& e20 != h7(e12)
& e20 != h7(e13) )
| ( e21 != h7(e10)
& e21 != h7(e11)
& e21 != h7(e12)
& e21 != h7(e13) )
| ( e22 != h7(e10)
& e22 != h7(e11)
& e22 != h7(e12)
& e22 != h7(e13) )
| ( e23 != h7(e10)
& e23 != h7(e11)
& e23 != h7(e12)
& e23 != h7(e13) ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( e20 != h8(e10)
& e20 != h8(e11)
& e20 != h8(e12)
& e20 != h8(e13) )
| ( e21 != h8(e10)
& e21 != h8(e11)
& e21 != h8(e12)
& e21 != h8(e13) )
| ( e22 != h8(e10)
& e22 != h8(e11)
& e22 != h8(e12)
& e22 != h8(e13) )
| ( e23 != h8(e10)
& e23 != h8(e11)
& e23 != h8(e12)
& e23 != h8(e13) ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( e20 != h9(e10)
& e20 != h9(e11)
& e20 != h9(e12)
& e20 != h9(e13) )
| ( e21 != h9(e10)
& e21 != h9(e11)
& e21 != h9(e12)
& e21 != h9(e13) )
| ( e22 != h9(e10)
& e22 != h9(e11)
& e22 != h9(e12)
& e22 != h9(e13) )
| ( e23 != h9(e10)
& e23 != h9(e11)
& e23 != h9(e12)
& e23 != h9(e13) ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( e20 != h10(e10)
& e20 != h10(e11)
& e20 != h10(e12)
& e20 != h10(e13) )
| ( e21 != h10(e10)
& e21 != h10(e11)
& e21 != h10(e12)
& e21 != h10(e13) )
| ( e22 != h10(e10)
& e22 != h10(e11)
& e22 != h10(e12)
& e22 != h10(e13) )
| ( e23 != h10(e10)
& e23 != h10(e11)
& e23 != h10(e12)
& e23 != h10(e13) ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( e20 != h11(e10)
& e20 != h11(e11)
& e20 != h11(e12)
& e20 != h11(e13) )
| ( e21 != h11(e10)
& e21 != h11(e11)
& e21 != h11(e12)
& e21 != h11(e13) )
| ( e22 != h11(e10)
& e22 != h11(e11)
& e22 != h11(e12)
& e22 != h11(e13) )
| ( e23 != h11(e10)
& e23 != h11(e11)
& e23 != h11(e12)
& e23 != h11(e13) ) )
& ( h12(op1(e10,e10)) != op2(h12(e10),h12(e10))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| ( e20 != h12(e10)
& e20 != h12(e11)
& e20 != h12(e12)
& e20 != h12(e13) )
| ( e21 != h12(e10)
& e21 != h12(e11)
& e21 != h12(e12)
& e21 != h12(e13) )
| ( e22 != h12(e10)
& e22 != h12(e11)
& e22 != h12(e12)
& e22 != h12(e13) )
| ( e23 != h12(e10)
& e23 != h12(e11)
& e23 != h12(e12)
& e23 != h12(e13) ) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f31,definition,
( ( e23 != h12(e10)
& e23 != h12(e11)
& e23 != h12(e12)
& e23 != h12(e13) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ( e22 != h12(e10)
& e22 != h12(e11)
& e22 != h12(e12)
& e22 != h12(e13) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ( e21 != h12(e10)
& e21 != h12(e11)
& e21 != h12(e12)
& e21 != h12(e13) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ( e23 != h11(e10)
& e23 != h11(e11)
& e23 != h11(e12)
& e23 != h11(e13) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ( e22 != h11(e10)
& e22 != h11(e11)
& e22 != h11(e12)
& e22 != h11(e13) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ( e21 != h11(e10)
& e21 != h11(e11)
& e21 != h11(e12)
& e21 != h11(e13) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ( e23 != h10(e10)
& e23 != h10(e11)
& e23 != h10(e12)
& e23 != h10(e13) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ( e22 != h10(e10)
& e22 != h10(e11)
& e22 != h10(e12)
& e22 != h10(e13) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ( e21 != h10(e10)
& e21 != h10(e11)
& e21 != h10(e12)
& e21 != h10(e13) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ( e23 != h9(e10)
& e23 != h9(e11)
& e23 != h9(e12)
& e23 != h9(e13) )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ( e22 != h9(e10)
& e22 != h9(e11)
& e22 != h9(e12)
& e22 != h9(e13) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ( e21 != h9(e10)
& e21 != h9(e11)
& e21 != h9(e12)
& e21 != h9(e13) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ( e23 != h8(e10)
& e23 != h8(e11)
& e23 != h8(e12)
& e23 != h8(e13) )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ( e22 != h8(e10)
& e22 != h8(e11)
& e22 != h8(e12)
& e22 != h8(e13) )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ( e21 != h8(e10)
& e21 != h8(e11)
& e21 != h8(e12)
& e21 != h8(e13) )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ( e23 != h7(e10)
& e23 != h7(e11)
& e23 != h7(e12)
& e23 != h7(e13) )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ( e22 != h7(e10)
& e22 != h7(e11)
& e22 != h7(e12)
& e22 != h7(e13) )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ( e21 != h7(e10)
& e21 != h7(e11)
& e21 != h7(e12)
& e21 != h7(e13) )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f49,definition,
( ( e23 != h6(e10)
& e23 != h6(e11)
& e23 != h6(e12)
& e23 != h6(e13) )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f50,definition,
( ( e22 != h6(e10)
& e22 != h6(e11)
& e22 != h6(e12)
& e22 != h6(e13) )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f51,definition,
( ( e21 != h6(e10)
& e21 != h6(e11)
& e21 != h6(e12)
& e21 != h6(e13) )
| ~ sP20 ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f52,definition,
( ( e23 != h5(e10)
& e23 != h5(e11)
& e23 != h5(e12)
& e23 != h5(e13) )
| ~ sP21 ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f53,definition,
( ( e22 != h5(e10)
& e22 != h5(e11)
& e22 != h5(e12)
& e22 != h5(e13) )
| ~ sP22 ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f54,definition,
( ( e21 != h5(e10)
& e21 != h5(e11)
& e21 != h5(e12)
& e21 != h5(e13) )
| ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ( e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) )
| ~ sP24 ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| ~ sP25 ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13) )
| ~ sP26 ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f58,definition,
( ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) )
| ~ sP27 ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f59,definition,
( ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13) )
| ~ sP28 ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f60,definition,
( ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ~ sP29 ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f61,definition,
( ( e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13) )
| ~ sP30 ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f62,definition,
( ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e13) )
| ~ sP31 ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f63,definition,
( ( e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13) )
| ~ sP32 ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f64,definition,
( ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) )
| ~ sP33 ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f65,definition,
( ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| ~ sP34 ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f66,definition,
( ( e21 != h1(e10)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13) )
| ~ sP35 ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f67,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) )
| sP35
| sP34
| sP33 )
& ( 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) )
| sP32
| sP31
| sP30 )
& ( 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) )
| sP29
| sP28
| sP27 )
& ( 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) )
| sP26
| sP25
| sP24 )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( e20 != h5(e10)
& e20 != h5(e11)
& e20 != h5(e12)
& e20 != h5(e13) )
| sP23
| sP22
| sP21 )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( e20 != h6(e10)
& e20 != h6(e11)
& e20 != h6(e12)
& e20 != h6(e13) )
| sP20
| sP19
| sP18 )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( e20 != h7(e10)
& e20 != h7(e11)
& e20 != h7(e12)
& e20 != h7(e13) )
| sP17
| sP16
| sP15 )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( e20 != h8(e10)
& e20 != h8(e11)
& e20 != h8(e12)
& e20 != h8(e13) )
| sP14
| sP13
| sP12 )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( e20 != h9(e10)
& e20 != h9(e11)
& e20 != h9(e12)
& e20 != h9(e13) )
| sP11
| sP10
| sP9 )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( e20 != h10(e10)
& e20 != h10(e11)
& e20 != h10(e12)
& e20 != h10(e13) )
| sP8
| sP7
| sP6 )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( e20 != h11(e10)
& e20 != h11(e11)
& e20 != h11(e12)
& e20 != h11(e13) )
| sP5
| sP4
| sP3 )
& ( h12(op1(e10,e10)) != op2(h12(e10),h12(e10))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| ( e20 != h12(e10)
& e20 != h12(e11)
& e20 != h12(e12)
& e20 != h12(e13) )
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f30,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31]) ).
fof(f68,definition,
( ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 )
| ~ sP36 ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f69,definition,
( ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ~ sP37 ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f70,definition,
( ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ~ sP38 ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f71,plain,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| sP38
| sP37
| sP36 ),
inference(definition_folding,[],[f13,f70,f69,f68]) ).
fof(f72,definition,
( ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 )
| ~ sP39 ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f73,definition,
( ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ~ sP40 ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f74,definition,
( ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ~ sP41 ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f75,plain,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| sP41
| sP40
| sP39 ),
inference(definition_folding,[],[f12,f74,f73,f72]) ).
fof(f100,plain,
( ( e21 != h9(e10)
& e21 != h9(e11)
& e21 != h9(e12)
& e21 != h9(e13) )
| ~ sP11 ),
inference(nnf_transformation,[],[f42]) ).
fof(f101,plain,
( ( e22 != h9(e10)
& e22 != h9(e11)
& e22 != h9(e12)
& e22 != h9(e13) )
| ~ sP10 ),
inference(nnf_transformation,[],[f41]) ).
fof(f102,plain,
( ( e23 != h9(e10)
& e23 != h9(e11)
& e23 != h9(e12)
& e23 != h9(e13) )
| ~ sP9 ),
inference(nnf_transformation,[],[f40]) ).
fof(f112,plain,
( ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ~ sP38 ),
inference(nnf_transformation,[],[f70]) ).
fof(f113,plain,
( ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ~ sP37 ),
inference(nnf_transformation,[],[f69]) ).
fof(f114,plain,
( ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 )
| ~ sP36 ),
inference(nnf_transformation,[],[f68]) ).
fof(f115,plain,
( ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ~ sP41 ),
inference(nnf_transformation,[],[f74]) ).
fof(f116,plain,
( ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ~ sP40 ),
inference(nnf_transformation,[],[f73]) ).
fof(f117,plain,
( ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 )
| ~ sP39 ),
inference(nnf_transformation,[],[f72]) ).
fof(f215,plain,
( e21 != h9(e12)
| ~ sP11 ),
inference(cnf_transformation,[],[f100]) ).
fof(f220,plain,
( e22 != h9(e11)
| ~ sP10 ),
inference(cnf_transformation,[],[f101]) ).
fof(f222,plain,
( e23 != h9(e13)
| ~ sP9 ),
inference(cnf_transformation,[],[f102]) ).
fof(f277,plain,
( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(cnf_transformation,[],[f67]) ).
fof(f310,plain,
op2(e22,e23) = h12(e12),
inference(cnf_transformation,[],[f27]) ).
fof(f318,plain,
op2(e20,e23) = h10(e12),
inference(cnf_transformation,[],[f25]) ).
fof(f319,plain,
op2(e23,e23) = h10(e10),
inference(cnf_transformation,[],[f25]) ).
fof(f321,plain,
e23 = h10(e11),
inference(cnf_transformation,[],[f25]) ).
fof(f322,plain,
op2(e23,e22) = h9(e12),
inference(cnf_transformation,[],[f24]) ).
fof(f323,plain,
op2(e22,e22) = h9(e10),
inference(cnf_transformation,[],[f24]) ).
fof(f324,plain,
e23 = h9(e13),
inference(cnf_transformation,[],[f24]) ).
fof(f325,plain,
e22 = h9(e11),
inference(cnf_transformation,[],[f24]) ).
fof(f331,plain,
op2(e22,e22) = h7(e10),
inference(cnf_transformation,[],[f22]) ).
fof(f358,plain,
e22 = op2(e23,e21),
inference(cnf_transformation,[],[f15]) ).
fof(f359,plain,
e20 = op2(e21,e21),
inference(cnf_transformation,[],[f15]) ).
fof(f360,plain,
e12 = op1(e13,e11),
inference(cnf_transformation,[],[f14]) ).
fof(f361,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f14]) ).
fof(f364,plain,
( e21 = op2(e21,e21)
| ~ sP38 ),
inference(cnf_transformation,[],[f112]) ).
fof(f368,plain,
( e22 = op2(e21,e21)
| ~ sP37 ),
inference(cnf_transformation,[],[f113]) ).
fof(f372,plain,
( e23 = op2(e21,e21)
| ~ sP36 ),
inference(cnf_transformation,[],[f114]) ).
fof(f374,plain,
( e20 = op2(e23,e23)
| sP38
| sP37
| sP36 ),
inference(cnf_transformation,[],[f71]) ).
fof(f375,plain,
( e20 = op2(e22,e22)
| sP38
| sP37
| sP36 ),
inference(cnf_transformation,[],[f71]) ).
fof(f377,plain,
( e20 = op2(e20,e20)
| sP38
| sP37
| sP36 ),
inference(cnf_transformation,[],[f71]) ).
fof(f380,plain,
( e11 = op1(e11,e11)
| ~ sP41 ),
inference(cnf_transformation,[],[f115]) ).
fof(f384,plain,
( e12 = op1(e11,e11)
| ~ sP40 ),
inference(cnf_transformation,[],[f116]) ).
fof(f388,plain,
( e13 = op1(e11,e11)
| ~ sP39 ),
inference(cnf_transformation,[],[f117]) ).
fof(f390,plain,
( e10 = op1(e13,e13)
| sP41
| sP40
| sP39 ),
inference(cnf_transformation,[],[f75]) ).
fof(f391,plain,
( e10 = op1(e12,e12)
| sP41
| sP40
| sP39 ),
inference(cnf_transformation,[],[f75]) ).
fof(f393,plain,
( e10 = op1(e10,e10)
| sP41
| sP40
| sP39 ),
inference(cnf_transformation,[],[f75]) ).
fof(f410,plain,
e22 != e23,
inference(cnf_transformation,[],[f10]) ).
fof(f411,plain,
e21 != e23,
inference(cnf_transformation,[],[f10]) ).
fof(f412,plain,
e21 != e22,
inference(cnf_transformation,[],[f10]) ).
fof(f413,plain,
e20 != e23,
inference(cnf_transformation,[],[f10]) ).
fof(f414,plain,
e20 != e22,
inference(cnf_transformation,[],[f10]) ).
fof(f415,plain,
e20 != e21,
inference(cnf_transformation,[],[f10]) ).
fof(f416,plain,
e12 != e13,
inference(cnf_transformation,[],[f9]) ).
fof(f417,plain,
e11 != e13,
inference(cnf_transformation,[],[f9]) ).
fof(f418,plain,
e11 != e12,
inference(cnf_transformation,[],[f9]) ).
fof(f419,plain,
e10 != e13,
inference(cnf_transformation,[],[f9]) ).
fof(f420,plain,
e10 != e12,
inference(cnf_transformation,[],[f9]) ).
fof(f421,plain,
e10 != e11,
inference(cnf_transformation,[],[f9]) ).
fof(f519,plain,
( e23 = op2(e23,e20)
| e23 = op2(e23,e21)
| e23 = op2(e23,e22)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f6]) ).
fof(f520,plain,
( e22 = op2(e20,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23)
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f6]) ).
fof(f523,plain,
( e21 = op2(e23,e20)
| e21 = op2(e23,e21)
| e21 = op2(e23,e22)
| e21 = op2(e23,e23) ),
inference(cnf_transformation,[],[f6]) ).
fof(f526,plain,
( e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e22,e22)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f6]) ).
fof(f529,plain,
( e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e22)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f6]) ).
fof(f531,plain,
( e21 = op2(e22,e20)
| e21 = op2(e22,e21)
| e21 = op2(e22,e22)
| e21 = op2(e22,e23) ),
inference(cnf_transformation,[],[f6]) ).
fof(f534,plain,
( e23 = op2(e20,e21)
| e23 = op2(e21,e21)
| e23 = op2(e22,e21)
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f6]) ).
fof(f543,plain,
( op2(e20,e20) = e23
| e23 = op2(e20,e21)
| e23 = op2(e20,e22)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f6]) ).
fof(f550,plain,
( e20 = unit2
| e21 = unit2
| e22 = unit2
| e23 = unit2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f551,plain,
e23 = op2(e23,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f552,plain,
e23 = op2(unit2,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f553,plain,
e22 = op2(e22,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f554,plain,
e22 = op2(unit2,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f555,plain,
e21 = op2(e21,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f556,plain,
e21 = op2(unit2,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f577,plain,
( e12 = op1(e10,e13)
| e12 = op1(e11,e13)
| e12 = op1(e12,e13)
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f3]) ).
fof(f580,plain,
( e11 = op1(e13,e10)
| e11 = op1(e13,e11)
| e11 = op1(e13,e12)
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f3]) ).
fof(f583,plain,
( e13 = op1(e10,e12)
| e13 = op1(e11,e12)
| e13 = op1(e12,e12)
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f3]) ).
fof(f588,plain,
( e11 = op1(e12,e10)
| e11 = op1(e12,e11)
| e11 = op1(e12,e12)
| e11 = op1(e12,e13) ),
inference(cnf_transformation,[],[f3]) ).
fof(f591,plain,
( e13 = op1(e10,e11)
| e13 = op1(e11,e11)
| e13 = op1(e12,e11)
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f3]) ).
fof(f599,plain,
( op1(e10,e10) = e13
| e13 = op1(e11,e10)
| e13 = op1(e12,e10)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f3]) ).
fof(f607,plain,
( e10 = unit1
| e11 = unit1
| e12 = unit1
| e13 = unit1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f608,plain,
e13 = op1(e13,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f609,plain,
e13 = op1(unit1,e13),
inference(cnf_transformation,[],[f2]) ).
fof(f610,plain,
e12 = op1(e12,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f611,plain,
e12 = op1(unit1,e12),
inference(cnf_transformation,[],[f2]) ).
fof(f612,plain,
e11 = op1(e11,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f613,plain,
e11 = op1(unit1,e11),
inference(cnf_transformation,[],[f2]) ).
fof(f637,definition,
( spl42_2
<=> e12 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl42_2])],[avatar_definition]) ).
fof(f639,plain,
( e12 = op1(e13,e13)
| ~ spl42_2 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f641,definition,
( spl42_3
<=> e11 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl42_3])],[avatar_definition]) ).
fof(f643,plain,
( e11 = op1(e13,e13)
| ~ spl42_3 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f645,definition,
( spl42_4
<=> e10 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl42_4])],[avatar_definition]) ).
fof(f647,plain,
( e10 = op1(e13,e13)
| ~ spl42_4 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f650,definition,
( spl42_5
<=> e13 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl42_5])],[avatar_definition]) ).
fof(f652,plain,
( e13 = op1(e13,e12)
| ~ spl42_5 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f658,definition,
( spl42_7
<=> e11 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl42_7])],[avatar_definition]) ).
fof(f660,plain,
( e11 = op1(e13,e12)
| ~ spl42_7 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f667,definition,
( spl42_9
<=> e13 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl42_9])],[avatar_definition]) ).
fof(f669,plain,
( e13 = op1(e13,e11)
| ~ spl42_9 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f671,definition,
( spl42_10
<=> e12 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl42_10])],[avatar_definition]) ).
fof(f673,plain,
( e12 = op1(e13,e11)
| ~ spl42_10 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f675,definition,
( spl42_11
<=> e11 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl42_11])],[avatar_definition]) ).
fof(f677,plain,
( e11 = op1(e13,e11)
| ~ spl42_11 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f684,definition,
( spl42_13
<=> e13 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl42_13])],[avatar_definition]) ).
fof(f686,plain,
( e13 = op1(e13,e10)
| ~ spl42_13 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f692,definition,
( spl42_15
<=> e11 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl42_15])],[avatar_definition]) ).
fof(f694,plain,
( e11 = op1(e13,e10)
| ~ spl42_15 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f705,definition,
( spl42_18
<=> e12 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl42_18])],[avatar_definition]) ).
fof(f707,plain,
( e12 = op1(e12,e13)
| ~ spl42_18 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f709,definition,
( spl42_19
<=> e11 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl42_19])],[avatar_definition]) ).
fof(f711,plain,
( e11 = op1(e12,e13)
| ~ spl42_19 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f718,definition,
( spl42_21
<=> e13 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl42_21])],[avatar_definition]) ).
fof(f720,plain,
( e13 = op1(e12,e12)
| ~ spl42_21 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f726,definition,
( spl42_23
<=> e11 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl42_23])],[avatar_definition]) ).
fof(f728,plain,
( e11 = op1(e12,e12)
| ~ spl42_23 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f730,definition,
( spl42_24
<=> e10 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl42_24])],[avatar_definition]) ).
fof(f732,plain,
( e10 = op1(e12,e12)
| ~ spl42_24 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f735,definition,
( spl42_25
<=> e13 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl42_25])],[avatar_definition]) ).
fof(f737,plain,
( e13 = op1(e12,e11)
| ~ spl42_25 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f743,definition,
( spl42_27
<=> e11 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl42_27])],[avatar_definition]) ).
fof(f745,plain,
( e11 = op1(e12,e11)
| ~ spl42_27 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f752,definition,
( spl42_29
<=> e13 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl42_29])],[avatar_definition]) ).
fof(f754,plain,
( e13 = op1(e12,e10)
| ~ spl42_29 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f756,definition,
( spl42_30
<=> e12 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl42_30])],[avatar_definition]) ).
fof(f758,plain,
( e12 = op1(e12,e10)
| ~ spl42_30 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f760,definition,
( spl42_31
<=> e11 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl42_31])],[avatar_definition]) ).
fof(f762,plain,
( e11 = op1(e12,e10)
| ~ spl42_31 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f773,definition,
( spl42_34
<=> e12 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl42_34])],[avatar_definition]) ).
fof(f775,plain,
( e12 = op1(e11,e13)
| ~ spl42_34 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f786,definition,
( spl42_37
<=> e13 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl42_37])],[avatar_definition]) ).
fof(f788,plain,
( e13 = op1(e11,e12)
| ~ spl42_37 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f803,definition,
( spl42_41
<=> e13 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl42_41])],[avatar_definition]) ).
fof(f805,plain,
( e13 = op1(e11,e11)
| ~ spl42_41 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f807,definition,
( spl42_42
<=> e12 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl42_42])],[avatar_definition]) ).
fof(f809,plain,
( e12 = op1(e11,e11)
| ~ spl42_42 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f811,definition,
( spl42_43
<=> e11 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl42_43])],[avatar_definition]) ).
fof(f813,plain,
( e11 = op1(e11,e11)
| ~ spl42_43 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f815,definition,
( spl42_44
<=> e10 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl42_44])],[avatar_definition]) ).
fof(f817,plain,
( e10 = op1(e11,e11)
| ~ spl42_44 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f820,definition,
( spl42_45
<=> e13 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl42_45])],[avatar_definition]) ).
fof(f822,plain,
( e13 = op1(e11,e10)
| ~ spl42_45 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f828,definition,
( spl42_47
<=> e11 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl42_47])],[avatar_definition]) ).
fof(f830,plain,
( e11 = op1(e11,e10)
| ~ spl42_47 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f837,definition,
( spl42_49
<=> e13 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl42_49])],[avatar_definition]) ).
fof(f838,plain,
( e13 != op1(e10,e13)
| spl42_49 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f839,plain,
( e13 = op1(e10,e13)
| ~ spl42_49 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f841,definition,
( spl42_50
<=> e12 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl42_50])],[avatar_definition]) ).
fof(f843,plain,
( e12 = op1(e10,e13)
| ~ spl42_50 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f854,definition,
( spl42_53
<=> e13 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl42_53])],[avatar_definition]) ).
fof(f856,plain,
( e13 = op1(e10,e12)
| ~ spl42_53 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f858,definition,
( spl42_54
<=> e12 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl42_54])],[avatar_definition]) ).
fof(f859,plain,
( e12 != op1(e10,e12)
| spl42_54 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f860,plain,
( e12 = op1(e10,e12)
| ~ spl42_54 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f871,definition,
( spl42_57
<=> e13 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl42_57])],[avatar_definition]) ).
fof(f873,plain,
( e13 = op1(e10,e11)
| ~ spl42_57 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f879,definition,
( spl42_59
<=> e11 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl42_59])],[avatar_definition]) ).
fof(f881,plain,
( e11 = op1(e10,e11)
| ~ spl42_59 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f888,definition,
( spl42_61
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[spl42_61])],[avatar_definition]) ).
fof(f890,plain,
( op1(e10,e10) = e13
| ~ spl42_61 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f900,definition,
( spl42_64
<=> e10 = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[spl42_64])],[avatar_definition]) ).
fof(f902,plain,
( e10 = op1(e10,e10)
| ~ spl42_64 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f905,definition,
( spl42_65
<=> e13 = unit1 ),
introduced(definition,[new_symbols(definition,[spl42_65])],[avatar_definition]) ).
fof(f907,plain,
( e13 = unit1
| ~ spl42_65 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f909,definition,
( spl42_66
<=> e12 = unit1 ),
introduced(definition,[new_symbols(definition,[spl42_66])],[avatar_definition]) ).
fof(f911,plain,
( e12 = unit1
| ~ spl42_66 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f913,definition,
( spl42_67
<=> e11 = unit1 ),
introduced(definition,[new_symbols(definition,[spl42_67])],[avatar_definition]) ).
fof(f915,plain,
( e11 = unit1
| ~ spl42_67 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f917,definition,
( spl42_68
<=> e10 = unit1 ),
introduced(definition,[new_symbols(definition,[spl42_68])],[avatar_definition]) ).
fof(f919,plain,
( e10 = unit1
| ~ spl42_68 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f920,plain,
( spl42_65
| spl42_66
| spl42_67
| spl42_68 ),
inference(avatar_split_clause,[],[f607,f917,f913,f909,f905]) ).
fof(f923,plain,
( spl42_2
| spl42_18
| spl42_34
| spl42_50 ),
inference(avatar_split_clause,[],[f577,f841,f773,f705,f637]) ).
fof(f926,plain,
( spl42_3
| spl42_7
| spl42_11
| spl42_15 ),
inference(avatar_split_clause,[],[f580,f692,f675,f658,f641]) ).
fof(f929,plain,
( spl42_5
| spl42_21
| spl42_37
| spl42_53 ),
inference(avatar_split_clause,[],[f583,f854,f786,f718,f650]) ).
fof(f934,plain,
( spl42_19
| spl42_23
| spl42_27
| spl42_31 ),
inference(avatar_split_clause,[],[f588,f760,f743,f726,f709]) ).
fof(f937,plain,
( spl42_9
| spl42_25
| spl42_41
| spl42_57 ),
inference(avatar_split_clause,[],[f591,f871,f803,f735,f667]) ).
fof(f945,plain,
( spl42_13
| spl42_29
| spl42_45
| spl42_61 ),
inference(avatar_split_clause,[],[f599,f888,f820,f752,f684]) ).
fof(f954,definition,
( spl42_69
<=> e23 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl42_69])],[avatar_definition]) ).
fof(f956,plain,
( e23 = op2(e23,e23)
| ~ spl42_69 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f958,definition,
( spl42_70
<=> e22 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl42_70])],[avatar_definition]) ).
fof(f960,plain,
( e22 = op2(e23,e23)
| ~ spl42_70 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f962,definition,
( spl42_71
<=> e21 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl42_71])],[avatar_definition]) ).
fof(f964,plain,
( e21 = op2(e23,e23)
| ~ spl42_71 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f966,definition,
( spl42_72
<=> e20 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl42_72])],[avatar_definition]) ).
fof(f968,plain,
( e20 = op2(e23,e23)
| ~ spl42_72 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f971,definition,
( spl42_73
<=> e23 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl42_73])],[avatar_definition]) ).
fof(f973,plain,
( e23 = op2(e23,e22)
| ~ spl42_73 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f979,definition,
( spl42_75
<=> e21 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl42_75])],[avatar_definition]) ).
fof(f981,plain,
( e21 = op2(e23,e22)
| ~ spl42_75 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f988,definition,
( spl42_77
<=> e23 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl42_77])],[avatar_definition]) ).
fof(f990,plain,
( e23 = op2(e23,e21)
| ~ spl42_77 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f992,definition,
( spl42_78
<=> e22 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl42_78])],[avatar_definition]) ).
fof(f994,plain,
( e22 = op2(e23,e21)
| ~ spl42_78 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f996,definition,
( spl42_79
<=> e21 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl42_79])],[avatar_definition]) ).
fof(f998,plain,
( e21 = op2(e23,e21)
| ~ spl42_79 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f1005,definition,
( spl42_81
<=> e23 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl42_81])],[avatar_definition]) ).
fof(f1007,plain,
( e23 = op2(e23,e20)
| ~ spl42_81 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f1013,definition,
( spl42_83
<=> e21 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl42_83])],[avatar_definition]) ).
fof(f1015,plain,
( e21 = op2(e23,e20)
| ~ spl42_83 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1026,definition,
( spl42_86
<=> e22 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl42_86])],[avatar_definition]) ).
fof(f1028,plain,
( e22 = op2(e22,e23)
| ~ spl42_86 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f1030,definition,
( spl42_87
<=> e21 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl42_87])],[avatar_definition]) ).
fof(f1032,plain,
( e21 = op2(e22,e23)
| ~ spl42_87 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1039,definition,
( spl42_89
<=> e23 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl42_89])],[avatar_definition]) ).
fof(f1041,plain,
( e23 = op2(e22,e22)
| ~ spl42_89 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1043,definition,
( spl42_90
<=> e22 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl42_90])],[avatar_definition]) ).
fof(f1045,plain,
( e22 = op2(e22,e22)
| ~ spl42_90 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1047,definition,
( spl42_91
<=> e21 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl42_91])],[avatar_definition]) ).
fof(f1049,plain,
( e21 = op2(e22,e22)
| ~ spl42_91 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f1051,definition,
( spl42_92
<=> e20 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl42_92])],[avatar_definition]) ).
fof(f1053,plain,
( e20 = op2(e22,e22)
| ~ spl42_92 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f1056,definition,
( spl42_93
<=> e23 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl42_93])],[avatar_definition]) ).
fof(f1058,plain,
( e23 = op2(e22,e21)
| ~ spl42_93 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1060,definition,
( spl42_94
<=> e22 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl42_94])],[avatar_definition]) ).
fof(f1062,plain,
( e22 = op2(e22,e21)
| ~ spl42_94 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1064,definition,
( spl42_95
<=> e21 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl42_95])],[avatar_definition]) ).
fof(f1066,plain,
( e21 = op2(e22,e21)
| ~ spl42_95 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1077,definition,
( spl42_98
<=> e22 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl42_98])],[avatar_definition]) ).
fof(f1079,plain,
( e22 = op2(e22,e20)
| ~ spl42_98 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1081,definition,
( spl42_99
<=> e21 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl42_99])],[avatar_definition]) ).
fof(f1083,plain,
( e21 = op2(e22,e20)
| ~ spl42_99 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1094,definition,
( spl42_102
<=> e22 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl42_102])],[avatar_definition]) ).
fof(f1096,plain,
( e22 = op2(e21,e23)
| ~ spl42_102 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1107,definition,
( spl42_105
<=> e23 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl42_105])],[avatar_definition]) ).
fof(f1109,plain,
( e23 = op2(e21,e22)
| ~ spl42_105 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f1124,definition,
( spl42_109
<=> e23 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl42_109])],[avatar_definition]) ).
fof(f1126,plain,
( e23 = op2(e21,e21)
| ~ spl42_109 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1128,definition,
( spl42_110
<=> e22 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl42_110])],[avatar_definition]) ).
fof(f1130,plain,
( e22 = op2(e21,e21)
| ~ spl42_110 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f1132,definition,
( spl42_111
<=> e21 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl42_111])],[avatar_definition]) ).
fof(f1134,plain,
( e21 = op2(e21,e21)
| ~ spl42_111 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1136,definition,
( spl42_112
<=> e20 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl42_112])],[avatar_definition]) ).
fof(f1138,plain,
( e20 = op2(e21,e21)
| ~ spl42_112 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1149,definition,
( spl42_115
<=> e21 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl42_115])],[avatar_definition]) ).
fof(f1151,plain,
( e21 = op2(e21,e20)
| ~ spl42_115 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f1158,definition,
( spl42_117
<=> e23 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl42_117])],[avatar_definition]) ).
fof(f1160,plain,
( e23 = op2(e20,e23)
| ~ spl42_117 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f1162,definition,
( spl42_118
<=> e22 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl42_118])],[avatar_definition]) ).
fof(f1164,plain,
( e22 = op2(e20,e23)
| ~ spl42_118 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1175,definition,
( spl42_121
<=> e23 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl42_121])],[avatar_definition]) ).
fof(f1177,plain,
( e23 = op2(e20,e22)
| ~ spl42_121 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f1179,definition,
( spl42_122
<=> e22 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl42_122])],[avatar_definition]) ).
fof(f1181,plain,
( e22 = op2(e20,e22)
| ~ spl42_122 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f1192,definition,
( spl42_125
<=> e23 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl42_125])],[avatar_definition]) ).
fof(f1194,plain,
( e23 = op2(e20,e21)
| ~ spl42_125 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f1200,definition,
( spl42_127
<=> e21 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl42_127])],[avatar_definition]) ).
fof(f1202,plain,
( e21 = op2(e20,e21)
| ~ spl42_127 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1209,definition,
( spl42_129
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[spl42_129])],[avatar_definition]) ).
fof(f1211,plain,
( op2(e20,e20) = e23
| ~ spl42_129 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f1221,definition,
( spl42_132
<=> e20 = op2(e20,e20) ),
introduced(definition,[new_symbols(definition,[spl42_132])],[avatar_definition]) ).
fof(f1223,plain,
( e20 = op2(e20,e20)
| ~ spl42_132 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f1226,definition,
( spl42_133
<=> e23 = unit2 ),
introduced(definition,[new_symbols(definition,[spl42_133])],[avatar_definition]) ).
fof(f1228,plain,
( e23 = unit2
| ~ spl42_133 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f1230,definition,
( spl42_134
<=> e22 = unit2 ),
introduced(definition,[new_symbols(definition,[spl42_134])],[avatar_definition]) ).
fof(f1232,plain,
( e22 = unit2
| ~ spl42_134 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f1234,definition,
( spl42_135
<=> e21 = unit2 ),
introduced(definition,[new_symbols(definition,[spl42_135])],[avatar_definition]) ).
fof(f1236,plain,
( e21 = unit2
| ~ spl42_135 ),
inference(avatar_component_clause,[],[f1234]) ).
fof(f1238,definition,
( spl42_136
<=> e20 = unit2 ),
introduced(definition,[new_symbols(definition,[spl42_136])],[avatar_definition]) ).
fof(f1240,plain,
( e20 = unit2
| ~ spl42_136 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f1241,plain,
( spl42_133
| spl42_134
| spl42_135
| spl42_136 ),
inference(avatar_split_clause,[],[f550,f1238,f1234,f1230,f1226]) ).
fof(f1243,plain,
( spl42_69
| spl42_73
| spl42_77
| spl42_81 ),
inference(avatar_split_clause,[],[f519,f1005,f988,f971,f954]) ).
fof(f1244,plain,
( spl42_70
| spl42_86
| spl42_102
| spl42_118 ),
inference(avatar_split_clause,[],[f520,f1162,f1094,f1026,f958]) ).
fof(f1247,plain,
( spl42_71
| spl42_75
| spl42_79
| spl42_83 ),
inference(avatar_split_clause,[],[f523,f1013,f996,f979,f962]) ).
fof(f1250,plain,
( spl42_73
| spl42_89
| spl42_105
| spl42_121 ),
inference(avatar_split_clause,[],[f526,f1175,f1107,f1039,f971]) ).
fof(f1253,plain,
( spl42_86
| spl42_90
| spl42_94
| spl42_98 ),
inference(avatar_split_clause,[],[f529,f1077,f1060,f1043,f1026]) ).
fof(f1255,plain,
( spl42_87
| spl42_91
| spl42_95
| spl42_99 ),
inference(avatar_split_clause,[],[f531,f1081,f1064,f1047,f1030]) ).
fof(f1258,plain,
( spl42_77
| spl42_93
| spl42_109
| spl42_125 ),
inference(avatar_split_clause,[],[f534,f1192,f1124,f1056,f988]) ).
fof(f1267,plain,
( spl42_117
| spl42_121
| spl42_125
| spl42_129 ),
inference(avatar_split_clause,[],[f543,f1209,f1192,f1175,f1158]) ).
fof(f1275,definition,
( spl42_137
<=> sP39 ),
introduced(definition,[new_symbols(definition,[spl42_137])],[avatar_definition]) ).
fof(f1279,definition,
( spl42_138
<=> sP40 ),
introduced(definition,[new_symbols(definition,[spl42_138])],[avatar_definition]) ).
fof(f1283,definition,
( spl42_139
<=> sP41 ),
introduced(definition,[new_symbols(definition,[spl42_139])],[avatar_definition]) ).
fof(f1286,plain,
( spl42_137
| spl42_138
| spl42_139
| spl42_4 ),
inference(avatar_split_clause,[],[f390,f645,f1283,f1279,f1275]) ).
fof(f1287,plain,
( spl42_137
| spl42_138
| spl42_139
| spl42_24 ),
inference(avatar_split_clause,[],[f391,f730,f1283,f1279,f1275]) ).
fof(f1289,plain,
( spl42_137
| spl42_138
| spl42_139
| spl42_64 ),
inference(avatar_split_clause,[],[f393,f900,f1283,f1279,f1275]) ).
fof(f1292,plain,
( ~ spl42_137
| spl42_41 ),
inference(avatar_split_clause,[],[f388,f803,f1275]) ).
fof(f1296,plain,
( ~ spl42_138
| spl42_42 ),
inference(avatar_split_clause,[],[f384,f807,f1279]) ).
fof(f1300,plain,
( ~ spl42_139
| spl42_43 ),
inference(avatar_split_clause,[],[f380,f811,f1283]) ).
fof(f1303,definition,
( spl42_140
<=> sP36 ),
introduced(definition,[new_symbols(definition,[spl42_140])],[avatar_definition]) ).
fof(f1307,definition,
( spl42_141
<=> sP37 ),
introduced(definition,[new_symbols(definition,[spl42_141])],[avatar_definition]) ).
fof(f1311,definition,
( spl42_142
<=> sP38 ),
introduced(definition,[new_symbols(definition,[spl42_142])],[avatar_definition]) ).
fof(f1314,plain,
( spl42_140
| spl42_141
| spl42_142
| spl42_72 ),
inference(avatar_split_clause,[],[f374,f966,f1311,f1307,f1303]) ).
fof(f1315,plain,
( spl42_140
| spl42_141
| spl42_142
| spl42_92 ),
inference(avatar_split_clause,[],[f375,f1051,f1311,f1307,f1303]) ).
fof(f1317,plain,
( spl42_140
| spl42_141
| spl42_142
| spl42_132 ),
inference(avatar_split_clause,[],[f377,f1221,f1311,f1307,f1303]) ).
fof(f1320,plain,
( ~ spl42_140
| spl42_109 ),
inference(avatar_split_clause,[],[f372,f1124,f1303]) ).
fof(f1324,plain,
( ~ spl42_141
| spl42_110 ),
inference(avatar_split_clause,[],[f368,f1128,f1307]) ).
fof(f1328,plain,
( ~ spl42_142
| spl42_111 ),
inference(avatar_split_clause,[],[f364,f1132,f1311]) ).
fof(f1330,plain,
spl42_10,
inference(avatar_split_clause,[],[f360,f671]) ).
fof(f1331,plain,
spl42_44,
inference(avatar_split_clause,[],[f361,f815]) ).
fof(f1332,plain,
spl42_78,
inference(avatar_split_clause,[],[f358,f992]) ).
fof(f1333,plain,
spl42_112,
inference(avatar_split_clause,[],[f359,f1136]) ).
fof(f1339,plain,
h7(e10) = h9(e10),
inference(forward_demodulation,[],[f323,f331]) ).
fof(f1357,plain,
( h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f277,f325]) ).
fof(f1428,definition,
( spl42_150
<=> e21 = h12(e12) ),
introduced(definition,[new_symbols(definition,[spl42_150])],[avatar_definition]) ).
fof(f1429,plain,
( e21 = h12(e12)
| ~ spl42_150 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f1492,definition,
( spl42_162
<=> e23 = h10(e12) ),
introduced(definition,[new_symbols(definition,[spl42_162])],[avatar_definition]) ).
fof(f1493,plain,
( e23 = h10(e12)
| ~ spl42_162 ),
inference(avatar_component_clause,[],[f1492]) ).
fof(f1534,plain,
~ sP9,
inference(forward_subsumption_resolution,[],[f222,f324]) ).
fof(f1536,definition,
( spl42_170
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl42_170])],[avatar_definition]) ).
fof(f1552,definition,
( spl42_173
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl42_173])],[avatar_definition]) ).
fof(f1560,plain,
~ sP10,
inference(forward_subsumption_resolution,[],[f220,f325]) ).
fof(f1568,definition,
( spl42_176
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl42_176])],[avatar_definition]) ).
fof(f1572,definition,
( spl42_177
<=> e21 = h9(e12) ),
introduced(definition,[new_symbols(definition,[spl42_177])],[avatar_definition]) ).
fof(f1573,plain,
( e21 = h9(e12)
| ~ spl42_177 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f1575,plain,
( ~ spl42_176
| ~ spl42_177 ),
inference(avatar_split_clause,[],[f215,f1572,f1568]) ).
fof(f1981,plain,
( h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f1357,f1339]) ).
fof(f2019,plain,
~ spl42_170,
inference(avatar_split_clause,[],[f1534,f1536]) ).
fof(f2020,plain,
~ spl42_173,
inference(avatar_split_clause,[],[f1560,f1552]) ).
fof(f2047,plain,
( op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f1981,f1339]) ).
fof(f2095,plain,
( h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2047,f1339]) ).
fof(f2143,plain,
( h9(op1(e10,e13)) != op2(h9(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2095,f324]) ).
fof(f2191,plain,
( h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2143,f1339]) ).
fof(f2239,plain,
( h9(op1(e11,e10)) != op2(h9(e11),h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2191,f1339]) ).
fof(f2287,plain,
( h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2239,f325]) ).
fof(f2335,plain,
( op2(e22,e22) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2287,f325]) ).
fof(f2383,plain,
( h7(e10) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2335,f331]) ).
fof(f2431,plain,
( h9(op1(e11,e12)) != op2(e22,h9(e12))
| h7(e10) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2383,f325]) ).
fof(f2479,plain,
( h9(op1(e11,e13)) != op2(h9(e11),e23)
| h9(op1(e11,e12)) != op2(e22,h9(e12))
| h7(e10) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2431,f324]) ).
fof(f2527,plain,
( op2(e22,e23) != h9(op1(e11,e13))
| h9(op1(e11,e12)) != op2(e22,h9(e12))
| h7(e10) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2479,f325]) ).
fof(f2575,plain,
( h12(e12) != h9(op1(e11,e13))
| h9(op1(e11,e12)) != op2(e22,h9(e12))
| h7(e10) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2527,f310]) ).
fof(f2623,plain,
( h9(op1(e12,e10)) != op2(h9(e12),h7(e10))
| h12(e12) != h9(op1(e11,e13))
| h9(op1(e11,e12)) != op2(e22,h9(e12))
| h7(e10) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2575,f1339]) ).
fof(f2671,plain,
( h9(op1(e12,e11)) != op2(h9(e12),e22)
| h9(op1(e12,e10)) != op2(h9(e12),h7(e10))
| h12(e12) != h9(op1(e11,e13))
| h9(op1(e11,e12)) != op2(e22,h9(e12))
| h7(e10) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2623,f325]) ).
fof(f2719,plain,
( h9(op1(e12,e13)) != op2(h9(e12),e23)
| h9(op1(e12,e11)) != op2(h9(e12),e22)
| h9(op1(e12,e10)) != op2(h9(e12),h7(e10))
| h12(e12) != h9(op1(e11,e13))
| h9(op1(e11,e12)) != op2(e22,h9(e12))
| h7(e10) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2671,f324]) ).
fof(f2767,plain,
( h9(op1(e13,e10)) != op2(h9(e13),h7(e10))
| h9(op1(e12,e13)) != op2(h9(e12),e23)
| h9(op1(e12,e11)) != op2(h9(e12),e22)
| h9(op1(e12,e10)) != op2(h9(e12),h7(e10))
| h12(e12) != h9(op1(e11,e13))
| h9(op1(e11,e12)) != op2(e22,h9(e12))
| h7(e10) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2719,f1339]) ).
fof(f2814,definition,
( spl42_252
<=> h10(op1(e12,e12)) = op2(h10(e12),h10(e12)) ),
introduced(definition,[new_symbols(definition,[spl42_252])],[avatar_definition]) ).
fof(f2815,plain,
( h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
| ~ spl42_252 ),
inference(avatar_component_clause,[],[f2814]) ).
fof(f2816,plain,
( h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| spl42_252 ),
inference(avatar_component_clause,[],[f2814]) ).
fof(f2880,definition,
( spl42_268
<=> e20 = h10(e10) ),
introduced(definition,[new_symbols(definition,[spl42_268])],[avatar_definition]) ).
fof(f2881,plain,
( e20 = h10(e10)
| ~ spl42_268 ),
inference(avatar_component_clause,[],[f2880]) ).
fof(f2887,plain,
( h9(op1(e13,e10)) != op2(e23,h7(e10))
| h9(op1(e12,e13)) != op2(h9(e12),e23)
| h9(op1(e12,e11)) != op2(h9(e12),e22)
| h9(op1(e12,e10)) != op2(h9(e12),h7(e10))
| h12(e12) != h9(op1(e11,e13))
| h9(op1(e11,e12)) != op2(e22,h9(e12))
| h7(e10) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2767,f324]) ).
fof(f2964,definition,
( spl42_286
<=> e20 = h7(e10) ),
introduced(definition,[new_symbols(definition,[spl42_286])],[avatar_definition]) ).
fof(f2965,plain,
( e20 = h7(e10)
| ~ spl42_286 ),
inference(avatar_component_clause,[],[f2964]) ).
fof(f2966,plain,
( e20 != h7(e10)
| spl42_286 ),
inference(avatar_component_clause,[],[f2964]) ).
fof(f3148,plain,
( h9(op1(e13,e11)) != op2(h9(e13),e22)
| h9(op1(e13,e10)) != op2(e23,h7(e10))
| h9(op1(e12,e13)) != op2(h9(e12),e23)
| h9(op1(e12,e11)) != op2(h9(e12),e22)
| h9(op1(e12,e10)) != op2(h9(e12),h7(e10))
| h12(e12) != h9(op1(e11,e13))
| h9(op1(e11,e12)) != op2(e22,h9(e12))
| h7(e10) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2887,f325]) ).
fof(f3183,plain,
( op2(e23,e22) != h9(op1(e13,e11))
| h9(op1(e13,e10)) != op2(e23,h7(e10))
| h9(op1(e12,e13)) != op2(h9(e12),e23)
| h9(op1(e12,e11)) != op2(h9(e12),e22)
| h9(op1(e12,e10)) != op2(h9(e12),h7(e10))
| h12(e12) != h9(op1(e11,e13))
| h9(op1(e11,e12)) != op2(e22,h9(e12))
| h7(e10) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f3148,f324]) ).
fof(f3215,plain,
( h9(e12) != h9(op1(e13,e11))
| h9(op1(e13,e10)) != op2(e23,h7(e10))
| h9(op1(e12,e13)) != op2(h9(e12),e23)
| h9(op1(e12,e11)) != op2(h9(e12),e22)
| h9(op1(e12,e10)) != op2(h9(e12),h7(e10))
| h12(e12) != h9(op1(e11,e13))
| h9(op1(e11,e12)) != op2(e22,h9(e12))
| h7(e10) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f3183,f322]) ).
fof(f3247,plain,
( h9(op1(e13,e12)) != op2(e23,h9(e12))
| h9(e12) != h9(op1(e13,e11))
| h9(op1(e13,e10)) != op2(e23,h7(e10))
| h9(op1(e12,e13)) != op2(h9(e12),e23)
| h9(op1(e12,e11)) != op2(h9(e12),e22)
| h9(op1(e12,e10)) != op2(h9(e12),h7(e10))
| h12(e12) != h9(op1(e11,e13))
| h9(op1(e11,e12)) != op2(e22,h9(e12))
| h7(e10) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f3215,f324]) ).
fof(f3279,plain,
( op2(e23,e23) != h9(op1(e13,e13))
| h9(op1(e13,e12)) != op2(e23,h9(e12))
| h9(e12) != h9(op1(e13,e11))
| h9(op1(e13,e10)) != op2(e23,h7(e10))
| h9(op1(e12,e13)) != op2(h9(e12),e23)
| h9(op1(e12,e11)) != op2(h9(e12),e22)
| h9(op1(e12,e10)) != op2(h9(e12),h7(e10))
| h12(e12) != h9(op1(e11,e13))
| h9(op1(e11,e12)) != op2(e22,h9(e12))
| h7(e10) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f3247,f324]) ).
fof(f3311,plain,
( h10(e10) != h9(op1(e13,e13))
| h9(op1(e13,e12)) != op2(e23,h9(e12))
| h9(e12) != h9(op1(e13,e11))
| h9(op1(e13,e10)) != op2(e23,h7(e10))
| h9(op1(e12,e13)) != op2(h9(e12),e23)
| h9(op1(e12,e11)) != op2(h9(e12),e22)
| h9(op1(e12,e10)) != op2(h9(e12),h7(e10))
| h12(e12) != h9(op1(e11,e13))
| h9(op1(e11,e12)) != op2(e22,h9(e12))
| h7(e10) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| e20 != h9(e10)
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f3279,f319]) ).
fof(f3482,definition,
( spl42_358
<=> h9(op1(e12,e12)) = op2(h9(e12),h9(e12)) ),
introduced(definition,[new_symbols(definition,[spl42_358])],[avatar_definition]) ).
fof(f3484,plain,
( h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| spl42_358 ),
inference(avatar_component_clause,[],[f3482]) ).
fof(f3486,definition,
( spl42_359
<=> h9(op1(e10,e11)) = op2(h7(e10),e22) ),
introduced(definition,[new_symbols(definition,[spl42_359])],[avatar_definition]) ).
fof(f3488,plain,
( h9(op1(e10,e11)) != op2(h7(e10),e22)
| spl42_359 ),
inference(avatar_component_clause,[],[f3486]) ).
fof(f3490,definition,
( spl42_360
<=> op2(h7(e10),h7(e10)) = h9(op1(e10,e10)) ),
introduced(definition,[new_symbols(definition,[spl42_360])],[avatar_definition]) ).
fof(f3492,plain,
( op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| spl42_360 ),
inference(avatar_component_clause,[],[f3490]) ).
fof(f3494,definition,
( spl42_361
<=> h9(op1(e10,e12)) = op2(h7(e10),h9(e12)) ),
introduced(definition,[new_symbols(definition,[spl42_361])],[avatar_definition]) ).
fof(f3496,plain,
( h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| spl42_361 ),
inference(avatar_component_clause,[],[f3494]) ).
fof(f3498,definition,
( spl42_362
<=> h9(op1(e10,e13)) = op2(h7(e10),e23) ),
introduced(definition,[new_symbols(definition,[spl42_362])],[avatar_definition]) ).
fof(f3500,plain,
( h9(op1(e10,e13)) != op2(h7(e10),e23)
| spl42_362 ),
inference(avatar_component_clause,[],[f3498]) ).
fof(f3502,definition,
( spl42_363
<=> h9(op1(e11,e10)) = op2(e22,h7(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_363])],[avatar_definition]) ).
fof(f3504,plain,
( h9(op1(e11,e10)) != op2(e22,h7(e10))
| spl42_363 ),
inference(avatar_component_clause,[],[f3502]) ).
fof(f3506,definition,
( spl42_364
<=> h7(e10) = h9(op1(e11,e11)) ),
introduced(definition,[new_symbols(definition,[spl42_364])],[avatar_definition]) ).
fof(f3508,plain,
( h7(e10) != h9(op1(e11,e11))
| spl42_364 ),
inference(avatar_component_clause,[],[f3506]) ).
fof(f3510,definition,
( spl42_365
<=> h9(op1(e11,e12)) = op2(e22,h9(e12)) ),
introduced(definition,[new_symbols(definition,[spl42_365])],[avatar_definition]) ).
fof(f3512,plain,
( h9(op1(e11,e12)) != op2(e22,h9(e12))
| spl42_365 ),
inference(avatar_component_clause,[],[f3510]) ).
fof(f3514,definition,
( spl42_366
<=> h12(e12) = h9(op1(e11,e13)) ),
introduced(definition,[new_symbols(definition,[spl42_366])],[avatar_definition]) ).
fof(f3516,plain,
( h12(e12) != h9(op1(e11,e13))
| spl42_366 ),
inference(avatar_component_clause,[],[f3514]) ).
fof(f3518,definition,
( spl42_367
<=> h9(op1(e12,e10)) = op2(h9(e12),h7(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_367])],[avatar_definition]) ).
fof(f3520,plain,
( h9(op1(e12,e10)) != op2(h9(e12),h7(e10))
| spl42_367 ),
inference(avatar_component_clause,[],[f3518]) ).
fof(f3522,definition,
( spl42_368
<=> h9(op1(e12,e11)) = op2(h9(e12),e22) ),
introduced(definition,[new_symbols(definition,[spl42_368])],[avatar_definition]) ).
fof(f3524,plain,
( h9(op1(e12,e11)) != op2(h9(e12),e22)
| spl42_368 ),
inference(avatar_component_clause,[],[f3522]) ).
fof(f3526,definition,
( spl42_369
<=> h9(op1(e12,e13)) = op2(h9(e12),e23) ),
introduced(definition,[new_symbols(definition,[spl42_369])],[avatar_definition]) ).
fof(f3528,plain,
( h9(op1(e12,e13)) != op2(h9(e12),e23)
| spl42_369 ),
inference(avatar_component_clause,[],[f3526]) ).
fof(f3530,definition,
( spl42_370
<=> h9(op1(e13,e10)) = op2(e23,h7(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_370])],[avatar_definition]) ).
fof(f3532,plain,
( h9(op1(e13,e10)) != op2(e23,h7(e10))
| spl42_370 ),
inference(avatar_component_clause,[],[f3530]) ).
fof(f3534,definition,
( spl42_371
<=> h9(e12) = h9(op1(e13,e11)) ),
introduced(definition,[new_symbols(definition,[spl42_371])],[avatar_definition]) ).
fof(f3536,plain,
( h9(e12) != h9(op1(e13,e11))
| spl42_371 ),
inference(avatar_component_clause,[],[f3534]) ).
fof(f3538,definition,
( spl42_372
<=> h9(op1(e13,e12)) = op2(e23,h9(e12)) ),
introduced(definition,[new_symbols(definition,[spl42_372])],[avatar_definition]) ).
fof(f3540,plain,
( h9(op1(e13,e12)) != op2(e23,h9(e12))
| spl42_372 ),
inference(avatar_component_clause,[],[f3538]) ).
fof(f3542,definition,
( spl42_373
<=> h10(e10) = h9(op1(e13,e13)) ),
introduced(definition,[new_symbols(definition,[spl42_373])],[avatar_definition]) ).
fof(f3544,plain,
( h10(e10) != h9(op1(e13,e13))
| spl42_373 ),
inference(avatar_component_clause,[],[f3542]) ).
fof(f3547,plain,
( e20 != h7(e10)
| h10(e10) != h9(op1(e13,e13))
| h9(op1(e13,e12)) != op2(e23,h9(e12))
| h9(e12) != h9(op1(e13,e11))
| h9(op1(e13,e10)) != op2(e23,h7(e10))
| h9(op1(e12,e13)) != op2(h9(e12),e23)
| h9(op1(e12,e11)) != op2(h9(e12),e22)
| h9(op1(e12,e10)) != op2(h9(e12),h7(e10))
| h12(e12) != h9(op1(e11,e13))
| h9(op1(e11,e12)) != op2(e22,h9(e12))
| h7(e10) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h7(e10))
| h9(op1(e10,e13)) != op2(h7(e10),e23)
| h9(op1(e10,e12)) != op2(h7(e10),h9(e12))
| op2(h7(e10),h7(e10)) != h9(op1(e10,e10))
| h9(op1(e10,e11)) != op2(h7(e10),e22)
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f3311,f1339]) ).
fof(f3910,plain,
( spl42_170
| spl42_173
| spl42_176
| ~ spl42_358
| ~ spl42_359
| ~ spl42_360
| ~ spl42_361
| ~ spl42_362
| ~ spl42_363
| ~ spl42_364
| ~ spl42_365
| ~ spl42_366
| ~ spl42_367
| ~ spl42_368
| ~ spl42_369
| ~ spl42_370
| ~ spl42_371
| ~ spl42_372
| ~ spl42_373
| ~ spl42_286 ),
inference(avatar_split_clause,[],[f3547,f2964,f3542,f3538,f3534,f3530,f3526,f3522,f3518,f3514,f3510,f3506,f3502,f3498,f3494,f3490,f3486,f3482,f1568,f1552,f1536]) ).
fof(f3918,plain,
( h10(e10) != op2(h10(e12),h10(e12))
| ~ spl42_24
| spl42_252 ),
inference(forward_demodulation,[],[f2816,f732]) ).
fof(f3940,plain,
( e23 = op2(e23,e23)
| ~ spl42_133 ),
inference(superposition,[],[f552,f1228]) ).
fof(f3949,plain,
( e13 = op1(e13,e13)
| ~ spl42_65 ),
inference(superposition,[],[f608,f907]) ).
fof(f3950,plain,
( e10 = e13
| ~ spl42_4
| ~ spl42_65 ),
inference(forward_demodulation,[],[f3949,f647]) ).
fof(f3951,plain,
( $false
| ~ spl42_4
| ~ spl42_65 ),
inference(forward_subsumption_resolution,[],[f3950,f419]) ).
fof(f3952,plain,
( ~ spl42_4
| ~ spl42_65 ),
inference(avatar_contradiction_clause,[],[f3951]) ).
fof(f3956,plain,
( e12 = op1(e12,e12)
| ~ spl42_66 ),
inference(superposition,[],[f610,f911]) ).
fof(f3957,plain,
( e10 = e12
| ~ spl42_24
| ~ spl42_66 ),
inference(forward_demodulation,[],[f3956,f732]) ).
fof(f3958,plain,
( $false
| ~ spl42_24
| ~ spl42_66 ),
inference(forward_subsumption_resolution,[],[f3957,f420]) ).
fof(f3959,plain,
( ~ spl42_24
| ~ spl42_66 ),
inference(avatar_contradiction_clause,[],[f3958]) ).
fof(f3964,plain,
( e13 = op1(e13,e11)
| ~ spl42_67 ),
inference(superposition,[],[f608,f915]) ).
fof(f3965,plain,
( e12 = e13
| ~ spl42_10
| ~ spl42_67 ),
inference(forward_demodulation,[],[f3964,f673]) ).
fof(f3968,plain,
( $false
| ~ spl42_10
| ~ spl42_67 ),
inference(forward_subsumption_resolution,[],[f3965,f416]) ).
fof(f3969,plain,
( ~ spl42_10
| ~ spl42_67 ),
inference(avatar_contradiction_clause,[],[f3968]) ).
fof(f3972,plain,
( e13 = op1(e13,e10)
| ~ spl42_68 ),
inference(superposition,[],[f608,f919]) ).
fof(f3973,plain,
( e13 = op1(e10,e13)
| ~ spl42_68 ),
inference(superposition,[],[f609,f919]) ).
fof(f3974,plain,
( e12 = op1(e12,e10)
| ~ spl42_68 ),
inference(superposition,[],[f610,f919]) ).
fof(f3978,plain,
( spl42_30
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f3974,f917,f756]) ).
fof(f3979,plain,
( e12 = e13
| ~ spl42_50
| ~ spl42_68 ),
inference(forward_demodulation,[],[f3973,f843]) ).
fof(f3981,plain,
( $false
| ~ spl42_50
| ~ spl42_68 ),
inference(forward_subsumption_resolution,[],[f3979,f416]) ).
fof(f3982,plain,
( ~ spl42_50
| ~ spl42_68 ),
inference(avatar_contradiction_clause,[],[f3981]) ).
fof(f3988,plain,
( e11 = e13
| ~ spl42_15
| ~ spl42_68 ),
inference(forward_demodulation,[],[f3972,f694]) ).
fof(f3991,plain,
( $false
| ~ spl42_15
| ~ spl42_68 ),
inference(forward_subsumption_resolution,[],[f3988,f417]) ).
fof(f3992,plain,
( ~ spl42_15
| ~ spl42_68 ),
inference(avatar_contradiction_clause,[],[f3991]) ).
fof(f3997,plain,
( e12 = op1(e10,e12)
| ~ spl42_68 ),
inference(superposition,[],[f611,f919]) ).
fof(f3998,plain,
( e11 = op1(e11,e10)
| ~ spl42_68 ),
inference(superposition,[],[f612,f919]) ).
fof(f3999,plain,
( spl42_47
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f3998,f917,f828]) ).
fof(f4000,plain,
( e11 = op1(e10,e11)
| ~ spl42_68 ),
inference(superposition,[],[f613,f919]) ).
fof(f4001,plain,
( spl42_59
| ~ spl42_68 ),
inference(avatar_split_clause,[],[f4000,f917,f879]) ).
fof(f4011,plain,
( e11 = e13
| ~ spl42_5
| ~ spl42_7 ),
inference(superposition,[],[f660,f652]) ).
fof(f4015,plain,
( $false
| ~ spl42_5
| ~ spl42_7 ),
inference(forward_subsumption_resolution,[],[f4011,f417]) ).
fof(f4016,plain,
( ~ spl42_5
| ~ spl42_7 ),
inference(avatar_contradiction_clause,[],[f4015]) ).
fof(f4018,plain,
( e11 = e12
| ~ spl42_10
| ~ spl42_11 ),
inference(superposition,[],[f677,f673]) ).
fof(f4022,plain,
( $false
| ~ spl42_10
| ~ spl42_11 ),
inference(forward_subsumption_resolution,[],[f4018,f418]) ).
fof(f4023,plain,
( ~ spl42_10
| ~ spl42_11 ),
inference(avatar_contradiction_clause,[],[f4022]) ).
fof(f4024,plain,
( e10 = e11
| ~ spl42_3
| ~ spl42_4 ),
inference(forward_demodulation,[],[f643,f647]) ).
fof(f4026,plain,
( $false
| ~ spl42_3
| ~ spl42_4 ),
inference(forward_subsumption_resolution,[],[f4024,f421]) ).
fof(f4027,plain,
( ~ spl42_3
| ~ spl42_4 ),
inference(avatar_contradiction_clause,[],[f4026]) ).
fof(f4038,plain,
( e11 = e12
| ~ spl42_18
| ~ spl42_19 ),
inference(superposition,[],[f711,f707]) ).
fof(f4042,plain,
( $false
| ~ spl42_18
| ~ spl42_19 ),
inference(forward_subsumption_resolution,[],[f4038,f418]) ).
fof(f4043,plain,
( ~ spl42_18
| ~ spl42_19 ),
inference(avatar_contradiction_clause,[],[f4042]) ).
fof(f4046,plain,
( e12 = e13
| ~ spl42_29
| ~ spl42_30 ),
inference(superposition,[],[f758,f754]) ).
fof(f4050,plain,
( $false
| ~ spl42_29
| ~ spl42_30 ),
inference(forward_subsumption_resolution,[],[f4046,f416]) ).
fof(f4051,plain,
( ~ spl42_29
| ~ spl42_30 ),
inference(avatar_contradiction_clause,[],[f4050]) ).
fof(f4054,plain,
( e11 = e12
| ~ spl42_30
| ~ spl42_31 ),
inference(superposition,[],[f762,f758]) ).
fof(f4058,plain,
( $false
| ~ spl42_30
| ~ spl42_31 ),
inference(forward_subsumption_resolution,[],[f4054,f418]) ).
fof(f4059,plain,
( ~ spl42_30
| ~ spl42_31 ),
inference(avatar_contradiction_clause,[],[f4058]) ).
fof(f4068,plain,
( e11 = e13
| ~ spl42_45
| ~ spl42_47 ),
inference(superposition,[],[f830,f822]) ).
fof(f4072,plain,
( $false
| ~ spl42_45
| ~ spl42_47 ),
inference(forward_subsumption_resolution,[],[f4068,f417]) ).
fof(f4073,plain,
( ~ spl42_45
| ~ spl42_47 ),
inference(avatar_contradiction_clause,[],[f4072]) ).
fof(f4077,plain,
( e12 = e13
| ~ spl42_53
| ~ spl42_54 ),
inference(superposition,[],[f860,f856]) ).
fof(f4081,plain,
( $false
| ~ spl42_53
| ~ spl42_54 ),
inference(forward_subsumption_resolution,[],[f4077,f416]) ).
fof(f4082,plain,
( ~ spl42_53
| ~ spl42_54 ),
inference(avatar_contradiction_clause,[],[f4081]) ).
fof(f4091,plain,
( e11 = e13
| ~ spl42_57
| ~ spl42_59 ),
inference(superposition,[],[f881,f873]) ).
fof(f4095,plain,
( $false
| ~ spl42_57
| ~ spl42_59 ),
inference(forward_subsumption_resolution,[],[f4091,f417]) ).
fof(f4096,plain,
( ~ spl42_57
| ~ spl42_59 ),
inference(avatar_contradiction_clause,[],[f4095]) ).
fof(f4098,plain,
( e20 = e23
| ~ spl42_69
| ~ spl42_72 ),
inference(superposition,[],[f968,f956]) ).
fof(f4102,plain,
( $false
| ~ spl42_69
| ~ spl42_72 ),
inference(forward_subsumption_resolution,[],[f4098,f413]) ).
fof(f4103,plain,
( ~ spl42_69
| ~ spl42_72 ),
inference(avatar_contradiction_clause,[],[f4102]) ).
fof(f4108,plain,
( e20 = e23
| ~ spl42_72
| ~ spl42_133 ),
inference(forward_demodulation,[],[f3940,f968]) ).
fof(f4116,plain,
( $false
| ~ spl42_72
| ~ spl42_133 ),
inference(forward_subsumption_resolution,[],[f4108,f413]) ).
fof(f4117,plain,
( ~ spl42_72
| ~ spl42_133 ),
inference(avatar_contradiction_clause,[],[f4116]) ).
fof(f4119,plain,
( e22 = e23
| ~ spl42_77
| ~ spl42_78 ),
inference(forward_demodulation,[],[f990,f994]) ).
fof(f4121,plain,
( e20 = e22
| ~ spl42_90
| ~ spl42_92 ),
inference(forward_demodulation,[],[f1045,f1053]) ).
fof(f4124,plain,
( $false
| ~ spl42_77
| ~ spl42_78 ),
inference(forward_subsumption_resolution,[],[f4119,f410]) ).
fof(f4125,plain,
( ~ spl42_77
| ~ spl42_78 ),
inference(avatar_contradiction_clause,[],[f4124]) ).
fof(f4127,plain,
( $false
| ~ spl42_90
| ~ spl42_92 ),
inference(forward_subsumption_resolution,[],[f4121,f414]) ).
fof(f4128,plain,
( ~ spl42_90
| ~ spl42_92 ),
inference(avatar_contradiction_clause,[],[f4127]) ).
fof(f4135,plain,
( e20 = e21
| ~ spl42_91
| ~ spl42_92 ),
inference(forward_demodulation,[],[f1049,f1053]) ).
fof(f4141,plain,
( $false
| ~ spl42_91
| ~ spl42_92 ),
inference(forward_subsumption_resolution,[],[f4135,f415]) ).
fof(f4142,plain,
( ~ spl42_91
| ~ spl42_92 ),
inference(avatar_contradiction_clause,[],[f4141]) ).
fof(f4159,plain,
( e22 = op2(e22,e22)
| ~ spl42_134 ),
inference(superposition,[],[f553,f1232]) ).
fof(f4170,plain,
( e20 = e22
| ~ spl42_92
| ~ spl42_134 ),
inference(forward_demodulation,[],[f4159,f1053]) ).
fof(f4174,plain,
( $false
| ~ spl42_92
| ~ spl42_134 ),
inference(forward_subsumption_resolution,[],[f4170,f414]) ).
fof(f4175,plain,
( ~ spl42_92
| ~ spl42_134 ),
inference(avatar_contradiction_clause,[],[f4174]) ).
fof(f4182,plain,
( e21 = op2(e21,e21)
| ~ spl42_135 ),
inference(superposition,[],[f555,f1236]) ).
fof(f4191,plain,
( e20 = e21
| ~ spl42_112
| ~ spl42_135 ),
inference(forward_demodulation,[],[f4182,f1138]) ).
fof(f4197,plain,
( $false
| ~ spl42_112
| ~ spl42_135 ),
inference(forward_subsumption_resolution,[],[f4191,f415]) ).
fof(f4198,plain,
( ~ spl42_112
| ~ spl42_135 ),
inference(avatar_contradiction_clause,[],[f4197]) ).
fof(f4203,plain,
( e23 = op2(e23,e20)
| ~ spl42_136 ),
inference(superposition,[],[f551,f1240]) ).
fof(f4204,plain,
( e23 = op2(e20,e23)
| ~ spl42_136 ),
inference(superposition,[],[f552,f1240]) ).
fof(f4205,plain,
( e22 = op2(e22,e20)
| ~ spl42_136 ),
inference(superposition,[],[f553,f1240]) ).
fof(f4206,plain,
( e22 = op2(e20,e22)
| ~ spl42_136 ),
inference(superposition,[],[f554,f1240]) ).
fof(f4207,plain,
( e21 = op2(e21,e20)
| ~ spl42_136 ),
inference(superposition,[],[f555,f1240]) ).
fof(f4208,plain,
( e21 = op2(e20,e21)
| ~ spl42_136 ),
inference(superposition,[],[f556,f1240]) ).
fof(f4214,plain,
( spl42_127
| ~ spl42_136 ),
inference(avatar_split_clause,[],[f4208,f1238,f1200]) ).
fof(f4215,plain,
( spl42_115
| ~ spl42_136 ),
inference(avatar_split_clause,[],[f4207,f1238,f1149]) ).
fof(f4216,plain,
( spl42_122
| ~ spl42_136 ),
inference(avatar_split_clause,[],[f4206,f1238,f1179]) ).
fof(f4217,plain,
( e22 = e23
| ~ spl42_118
| ~ spl42_136 ),
inference(forward_demodulation,[],[f4204,f1164]) ).
fof(f4218,plain,
( $false
| ~ spl42_118
| ~ spl42_136 ),
inference(forward_subsumption_resolution,[],[f4217,f410]) ).
fof(f4219,plain,
( ~ spl42_118
| ~ spl42_136 ),
inference(avatar_contradiction_clause,[],[f4218]) ).
fof(f4240,plain,
( e21 = e22
| ~ spl42_78
| ~ spl42_79 ),
inference(superposition,[],[f998,f994]) ).
fof(f4244,plain,
( $false
| ~ spl42_78
| ~ spl42_79 ),
inference(forward_subsumption_resolution,[],[f4240,f412]) ).
fof(f4245,plain,
( ~ spl42_78
| ~ spl42_79 ),
inference(avatar_contradiction_clause,[],[f4244]) ).
fof(f4248,plain,
( e22 = e23
| ~ spl42_93
| ~ spl42_94 ),
inference(superposition,[],[f1062,f1058]) ).
fof(f4252,plain,
( $false
| ~ spl42_93
| ~ spl42_94 ),
inference(forward_subsumption_resolution,[],[f4248,f410]) ).
fof(f4253,plain,
( ~ spl42_93
| ~ spl42_94 ),
inference(avatar_contradiction_clause,[],[f4252]) ).
fof(f4278,plain,
( e21 = e23
| ~ spl42_73
| ~ spl42_75 ),
inference(forward_demodulation,[],[f973,f981]) ).
fof(f4281,plain,
( e20 = e23
| ~ spl42_89
| ~ spl42_92 ),
inference(forward_demodulation,[],[f1041,f1053]) ).
fof(f4283,plain,
( e21 = e22
| ~ spl42_99
| ~ spl42_136 ),
inference(forward_demodulation,[],[f4205,f1083]) ).
fof(f4285,plain,
( $false
| ~ spl42_73
| ~ spl42_75 ),
inference(forward_subsumption_resolution,[],[f4278,f411]) ).
fof(f4286,plain,
( ~ spl42_73
| ~ spl42_75 ),
inference(avatar_contradiction_clause,[],[f4285]) ).
fof(f4289,plain,
( $false
| ~ spl42_89
| ~ spl42_92 ),
inference(forward_subsumption_resolution,[],[f4281,f413]) ).
fof(f4290,plain,
( ~ spl42_89
| ~ spl42_92 ),
inference(avatar_contradiction_clause,[],[f4289]) ).
fof(f4292,plain,
( $false
| ~ spl42_99
| ~ spl42_136 ),
inference(forward_subsumption_resolution,[],[f4283,f412]) ).
fof(f4293,plain,
( ~ spl42_99
| ~ spl42_136 ),
inference(avatar_contradiction_clause,[],[f4292]) ).
fof(f4299,plain,
( e21 = e23
| ~ spl42_93
| ~ spl42_95 ),
inference(forward_demodulation,[],[f1058,f1066]) ).
fof(f4302,plain,
( $false
| ~ spl42_93
| ~ spl42_95 ),
inference(forward_subsumption_resolution,[],[f4299,f411]) ).
fof(f4303,plain,
( ~ spl42_93
| ~ spl42_95 ),
inference(avatar_contradiction_clause,[],[f4302]) ).
fof(f4313,plain,
( e20 = e21
| ~ spl42_71
| ~ spl42_72 ),
inference(forward_demodulation,[],[f964,f968]) ).
fof(f4315,plain,
( $false
| ~ spl42_71
| ~ spl42_72 ),
inference(forward_subsumption_resolution,[],[f4313,f415]) ).
fof(f4316,plain,
( ~ spl42_71
| ~ spl42_72 ),
inference(avatar_contradiction_clause,[],[f4315]) ).
fof(f4331,plain,
( e22 = e23
| ~ spl42_121
| ~ spl42_122 ),
inference(superposition,[],[f1181,f1177]) ).
fof(f4335,plain,
( $false
| ~ spl42_121
| ~ spl42_122 ),
inference(forward_subsumption_resolution,[],[f4331,f410]) ).
fof(f4336,plain,
( ~ spl42_121
| ~ spl42_122 ),
inference(avatar_contradiction_clause,[],[f4335]) ).
fof(f4339,plain,
( e21 = e23
| ~ spl42_125
| ~ spl42_127 ),
inference(superposition,[],[f1202,f1194]) ).
fof(f4343,plain,
( $false
| ~ spl42_125
| ~ spl42_127 ),
inference(forward_subsumption_resolution,[],[f4339,f411]) ).
fof(f4344,plain,
( ~ spl42_125
| ~ spl42_127 ),
inference(avatar_contradiction_clause,[],[f4343]) ).
fof(f4347,plain,
( e21 = h12(e12)
| ~ spl42_87 ),
inference(superposition,[],[f310,f1032]) ).
fof(f4353,plain,
( e20 = e22
| ~ spl42_70
| ~ spl42_72 ),
inference(forward_demodulation,[],[f960,f968]) ).
fof(f4357,plain,
( e20 = e23
| ~ spl42_109
| ~ spl42_112 ),
inference(forward_demodulation,[],[f1126,f1138]) ).
fof(f4358,plain,
( $false
| ~ spl42_70
| ~ spl42_72 ),
inference(forward_subsumption_resolution,[],[f4353,f414]) ).
fof(f4359,plain,
( ~ spl42_70
| ~ spl42_72 ),
inference(avatar_contradiction_clause,[],[f4358]) ).
fof(f4361,plain,
( $false
| ~ spl42_109
| ~ spl42_112 ),
inference(forward_subsumption_resolution,[],[f4357,f413]) ).
fof(f4362,plain,
( ~ spl42_109
| ~ spl42_112 ),
inference(avatar_contradiction_clause,[],[f4361]) ).
fof(f4367,plain,
( e20 = e22
| ~ spl42_110
| ~ spl42_112 ),
inference(forward_demodulation,[],[f1130,f1138]) ).
fof(f4371,plain,
( $false
| ~ spl42_110
| ~ spl42_112 ),
inference(forward_subsumption_resolution,[],[f4367,f414]) ).
fof(f4372,plain,
( ~ spl42_110
| ~ spl42_112 ),
inference(avatar_contradiction_clause,[],[f4371]) ).
fof(f4379,plain,
( spl42_150
| ~ spl42_87 ),
inference(avatar_split_clause,[],[f4347,f1030,f1428]) ).
fof(f4405,plain,
( e22 = h12(e12)
| ~ spl42_86 ),
inference(superposition,[],[f1028,f310]) ).
fof(f4413,plain,
( e21 = e22
| ~ spl42_86
| ~ spl42_150 ),
inference(forward_demodulation,[],[f4405,f1429]) ).
fof(f4418,plain,
( $false
| ~ spl42_86
| ~ spl42_150 ),
inference(forward_subsumption_resolution,[],[f4413,f412]) ).
fof(f4419,plain,
( ~ spl42_86
| ~ spl42_150 ),
inference(avatar_contradiction_clause,[],[f4418]) ).
fof(f4446,plain,
( e23 = h10(e12)
| ~ spl42_117 ),
inference(superposition,[],[f1160,f318]) ).
fof(f4447,plain,
( spl42_162
| ~ spl42_117 ),
inference(avatar_split_clause,[],[f4446,f1158,f1492]) ).
fof(f4451,plain,
( op2(e23,e23) != h10(e10)
| ~ spl42_24
| ~ spl42_162
| spl42_252 ),
inference(superposition,[],[f3918,f1493]) ).
fof(f4452,plain,
( $false
| ~ spl42_24
| ~ spl42_162
| spl42_252 ),
inference(forward_subsumption_resolution,[],[f4451,f319]) ).
fof(f4453,plain,
( ~ spl42_24
| ~ spl42_162
| spl42_252 ),
inference(avatar_contradiction_clause,[],[f4452]) ).
fof(f4454,plain,
( op2(e23,e23) = h10(op1(e12,e12))
| ~ spl42_162
| ~ spl42_252 ),
inference(forward_demodulation,[],[f2815,f1493]) ).
fof(f4460,plain,
( e20 = h10(e10)
| ~ spl42_72 ),
inference(superposition,[],[f968,f319]) ).
fof(f4461,plain,
( spl42_268
| ~ spl42_72 ),
inference(avatar_split_clause,[],[f4460,f966,f2880]) ).
fof(f4482,plain,
( $false
| spl42_54
| ~ spl42_68 ),
inference(forward_subsumption_resolution,[],[f3997,f859]) ).
fof(f4483,plain,
( spl42_54
| ~ spl42_68 ),
inference(avatar_contradiction_clause,[],[f4482]) ).
fof(f4522,plain,
( e21 = h9(e12)
| ~ spl42_75 ),
inference(superposition,[],[f981,f322]) ).
fof(f4523,plain,
( spl42_177
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f4522,f979,f1572]) ).
fof(f4536,plain,
( e20 = h7(e10)
| ~ spl42_92 ),
inference(superposition,[],[f331,f1053]) ).
fof(f4540,plain,
( $false
| ~ spl42_92
| spl42_286 ),
inference(forward_subsumption_resolution,[],[f4536,f2966]) ).
fof(f4541,plain,
( ~ spl42_92
| spl42_286 ),
inference(avatar_contradiction_clause,[],[f4540]) ).
fof(f4575,plain,
( e10 = e13
| ~ spl42_61
| ~ spl42_64 ),
inference(forward_demodulation,[],[f890,f902]) ).
fof(f4578,plain,
( $false
| spl42_49
| ~ spl42_68 ),
inference(forward_subsumption_resolution,[],[f3973,f838]) ).
fof(f4579,plain,
( spl42_49
| ~ spl42_68 ),
inference(avatar_contradiction_clause,[],[f4578]) ).
fof(f4583,plain,
( $false
| ~ spl42_61
| ~ spl42_64 ),
inference(forward_subsumption_resolution,[],[f4575,f419]) ).
fof(f4584,plain,
( ~ spl42_61
| ~ spl42_64 ),
inference(avatar_contradiction_clause,[],[f4583]) ).
fof(f4589,plain,
( e10 = e13
| ~ spl42_21
| ~ spl42_24 ),
inference(forward_demodulation,[],[f720,f732]) ).
fof(f4590,plain,
( e10 = e13
| ~ spl42_41
| ~ spl42_44 ),
inference(forward_demodulation,[],[f805,f817]) ).
fof(f4593,plain,
( op2(e20,e20) != h9(op1(e10,e10))
| ~ spl42_286
| spl42_360 ),
inference(forward_demodulation,[],[f3492,f2965]) ).
fof(f4595,plain,
( $false
| ~ spl42_21
| ~ spl42_24 ),
inference(forward_subsumption_resolution,[],[f4589,f419]) ).
fof(f4596,plain,
( ~ spl42_21
| ~ spl42_24 ),
inference(avatar_contradiction_clause,[],[f4595]) ).
fof(f4597,plain,
( $false
| ~ spl42_41
| ~ spl42_44 ),
inference(forward_subsumption_resolution,[],[f4590,f419]) ).
fof(f4598,plain,
( ~ spl42_41
| ~ spl42_44 ),
inference(avatar_contradiction_clause,[],[f4597]) ).
fof(f4615,plain,
( e10 = e12
| ~ spl42_42
| ~ spl42_44 ),
inference(forward_demodulation,[],[f809,f817]) ).
fof(f4630,plain,
( $false
| ~ spl42_42
| ~ spl42_44 ),
inference(forward_subsumption_resolution,[],[f4615,f420]) ).
fof(f4631,plain,
( ~ spl42_42
| ~ spl42_44 ),
inference(avatar_contradiction_clause,[],[f4630]) ).
fof(f4658,plain,
( e10 = e11
| ~ spl42_43
| ~ spl42_44 ),
inference(forward_demodulation,[],[f813,f817]) ).
fof(f4671,plain,
( op2(e23,e23) = h10(e11)
| ~ spl42_23
| ~ spl42_162
| ~ spl42_252 ),
inference(forward_demodulation,[],[f4454,f728]) ).
fof(f4676,plain,
( $false
| ~ spl42_43
| ~ spl42_44 ),
inference(forward_subsumption_resolution,[],[f4658,f421]) ).
fof(f4677,plain,
( ~ spl42_43
| ~ spl42_44 ),
inference(avatar_contradiction_clause,[],[f4676]) ).
fof(f4690,plain,
( e23 = op2(e23,e23)
| ~ spl42_23
| ~ spl42_162
| ~ spl42_252 ),
inference(forward_demodulation,[],[f4671,f321]) ).
fof(f4699,plain,
( e20 = e23
| ~ spl42_23
| ~ spl42_72
| ~ spl42_162
| ~ spl42_252 ),
inference(forward_demodulation,[],[f4690,f968]) ).
fof(f4706,plain,
( $false
| ~ spl42_23
| ~ spl42_72
| ~ spl42_162
| ~ spl42_252 ),
inference(forward_subsumption_resolution,[],[f4699,f413]) ).
fof(f4707,plain,
( ~ spl42_23
| ~ spl42_72
| ~ spl42_162
| ~ spl42_252 ),
inference(avatar_contradiction_clause,[],[f4706]) ).
fof(f4731,plain,
( op2(e20,e20) != h9(e10)
| ~ spl42_64
| ~ spl42_286
| spl42_360 ),
inference(forward_demodulation,[],[f4593,f902]) ).
fof(f4753,plain,
( op2(e20,e20) != h7(e10)
| ~ spl42_64
| ~ spl42_286
| spl42_360 ),
inference(forward_demodulation,[],[f4731,f1339]) ).
fof(f4766,plain,
( e20 != op2(e20,e20)
| ~ spl42_64
| ~ spl42_286
| spl42_360 ),
inference(forward_demodulation,[],[f4753,f2965]) ).
fof(f4771,plain,
( $false
| ~ spl42_64
| ~ spl42_132
| ~ spl42_286
| spl42_360 ),
inference(forward_subsumption_resolution,[],[f4766,f1223]) ).
fof(f4772,plain,
( ~ spl42_64
| ~ spl42_132
| ~ spl42_286
| spl42_360 ),
inference(avatar_contradiction_clause,[],[f4771]) ).
fof(f4783,plain,
( op2(e23,e20) != h9(op1(e13,e10))
| ~ spl42_286
| spl42_370 ),
inference(forward_demodulation,[],[f3532,f2965]) ).
fof(f4790,plain,
( op2(e23,e20) != h9(e13)
| ~ spl42_13
| ~ spl42_286
| spl42_370 ),
inference(forward_demodulation,[],[f4783,f686]) ).
fof(f4797,plain,
( e23 != op2(e23,e20)
| ~ spl42_13
| ~ spl42_286
| spl42_370 ),
inference(forward_demodulation,[],[f4790,f324]) ).
fof(f4800,plain,
( $false
| ~ spl42_13
| ~ spl42_81
| ~ spl42_286
| spl42_370 ),
inference(forward_subsumption_resolution,[],[f4797,f1007]) ).
fof(f4801,plain,
( ~ spl42_13
| ~ spl42_81
| ~ spl42_286
| spl42_370 ),
inference(avatar_contradiction_clause,[],[f4800]) ).
fof(f4804,plain,
( e20 = e23
| ~ spl42_129
| ~ spl42_132 ),
inference(forward_demodulation,[],[f1211,f1223]) ).
fof(f4808,plain,
( e21 = e23
| ~ spl42_83
| ~ spl42_136 ),
inference(forward_demodulation,[],[f4203,f1015]) ).
fof(f4814,plain,
( $false
| ~ spl42_129
| ~ spl42_132 ),
inference(forward_subsumption_resolution,[],[f4804,f413]) ).
fof(f4815,plain,
( ~ spl42_129
| ~ spl42_132 ),
inference(avatar_contradiction_clause,[],[f4814]) ).
fof(f4819,plain,
( $false
| ~ spl42_83
| ~ spl42_136 ),
inference(forward_subsumption_resolution,[],[f4808,f411]) ).
fof(f4820,plain,
( ~ spl42_83
| ~ spl42_136 ),
inference(avatar_contradiction_clause,[],[f4819]) ).
fof(f4836,plain,
( op2(e21,e22) != h9(op1(e12,e11))
| ~ spl42_177
| spl42_368 ),
inference(forward_demodulation,[],[f3524,f1573]) ).
fof(f4843,plain,
( op2(e21,e22) != h9(e13)
| ~ spl42_25
| ~ spl42_177
| spl42_368 ),
inference(forward_demodulation,[],[f4836,f737]) ).
fof(f4848,plain,
( e23 != op2(e21,e22)
| ~ spl42_25
| ~ spl42_177
| spl42_368 ),
inference(forward_demodulation,[],[f4843,f324]) ).
fof(f4850,plain,
( $false
| ~ spl42_25
| ~ spl42_105
| ~ spl42_177
| spl42_368 ),
inference(forward_subsumption_resolution,[],[f4848,f1109]) ).
fof(f4851,plain,
( ~ spl42_25
| ~ spl42_105
| ~ spl42_177
| spl42_368 ),
inference(avatar_contradiction_clause,[],[f4850]) ).
fof(f4852,plain,
( e12 = e13
| ~ spl42_9
| ~ spl42_10 ),
inference(forward_demodulation,[],[f669,f673]) ).
fof(f4856,plain,
( $false
| ~ spl42_9
| ~ spl42_10 ),
inference(forward_subsumption_resolution,[],[f4852,f416]) ).
fof(f4857,plain,
( ~ spl42_9
| ~ spl42_10 ),
inference(avatar_contradiction_clause,[],[f4856]) ).
fof(f4861,plain,
( e11 = e13
| ~ spl42_25
| ~ spl42_27 ),
inference(forward_demodulation,[],[f737,f745]) ).
fof(f4862,plain,
( op2(e21,e21) != h9(op1(e12,e12))
| ~ spl42_177
| spl42_358 ),
inference(forward_demodulation,[],[f3484,f1573]) ).
fof(f4864,plain,
( $false
| ~ spl42_25
| ~ spl42_27 ),
inference(forward_subsumption_resolution,[],[f4861,f417]) ).
fof(f4865,plain,
( ~ spl42_25
| ~ spl42_27 ),
inference(avatar_contradiction_clause,[],[f4864]) ).
fof(f4866,plain,
( op2(e21,e21) != h9(e10)
| ~ spl42_24
| ~ spl42_177
| spl42_358 ),
inference(forward_demodulation,[],[f4862,f732]) ).
fof(f4868,plain,
( op2(e21,e21) != h7(e10)
| ~ spl42_24
| ~ spl42_177
| spl42_358 ),
inference(forward_demodulation,[],[f4866,f1339]) ).
fof(f4870,plain,
( e20 != op2(e21,e21)
| ~ spl42_24
| ~ spl42_177
| ~ spl42_286
| spl42_358 ),
inference(forward_demodulation,[],[f4868,f2965]) ).
fof(f4872,plain,
( $false
| ~ spl42_24
| ~ spl42_112
| ~ spl42_177
| ~ spl42_286
| spl42_358 ),
inference(forward_subsumption_resolution,[],[f4870,f1138]) ).
fof(f4873,plain,
( ~ spl42_24
| ~ spl42_112
| ~ spl42_177
| ~ spl42_286
| spl42_358 ),
inference(avatar_contradiction_clause,[],[f4872]) ).
fof(f4903,plain,
( e10 = e12
| ~ spl42_2
| ~ spl42_4 ),
inference(superposition,[],[f647,f639]) ).
fof(f4911,plain,
( $false
| ~ spl42_2
| ~ spl42_4 ),
inference(forward_subsumption_resolution,[],[f4903,f420]) ).
fof(f4912,plain,
( ~ spl42_2
| ~ spl42_4 ),
inference(avatar_contradiction_clause,[],[f4911]) ).
fof(f4922,plain,
( h9(e10) != h10(e10)
| ~ spl42_4
| spl42_373 ),
inference(forward_demodulation,[],[f3544,f647]) ).
fof(f4927,plain,
( e20 != h9(e10)
| ~ spl42_4
| ~ spl42_268
| spl42_373 ),
inference(forward_demodulation,[],[f4922,f2881]) ).
fof(f4931,plain,
( e20 != h7(e10)
| ~ spl42_4
| ~ spl42_268
| spl42_373 ),
inference(forward_demodulation,[],[f4927,f1339]) ).
fof(f4934,plain,
( $false
| ~ spl42_4
| ~ spl42_268
| ~ spl42_286
| spl42_373 ),
inference(forward_subsumption_resolution,[],[f4931,f2965]) ).
fof(f4935,plain,
( ~ spl42_4
| ~ spl42_268
| ~ spl42_286
| spl42_373 ),
inference(avatar_contradiction_clause,[],[f4934]) ).
fof(f4938,plain,
( op2(e20,e22) != h9(op1(e10,e11))
| ~ spl42_286
| spl42_359 ),
inference(forward_demodulation,[],[f3488,f2965]) ).
fof(f4942,plain,
( op2(e20,e22) != h9(e11)
| ~ spl42_59
| ~ spl42_286
| spl42_359 ),
inference(forward_demodulation,[],[f4938,f881]) ).
fof(f4945,plain,
( e22 != op2(e20,e22)
| ~ spl42_59
| ~ spl42_286
| spl42_359 ),
inference(forward_demodulation,[],[f4942,f325]) ).
fof(f4947,plain,
( $false
| ~ spl42_59
| ~ spl42_122
| ~ spl42_286
| spl42_359 ),
inference(forward_subsumption_resolution,[],[f4945,f1181]) ).
fof(f4948,plain,
( ~ spl42_59
| ~ spl42_122
| ~ spl42_286
| spl42_359 ),
inference(avatar_contradiction_clause,[],[f4947]) ).
fof(f4954,plain,
( op2(e20,e23) != h9(op1(e10,e13))
| ~ spl42_286
| spl42_362 ),
inference(forward_demodulation,[],[f3500,f2965]) ).
fof(f4958,plain,
( op2(e20,e23) != h9(e13)
| ~ spl42_49
| ~ spl42_286
| spl42_362 ),
inference(forward_demodulation,[],[f4954,f839]) ).
fof(f4962,plain,
( e23 != op2(e20,e23)
| ~ spl42_49
| ~ spl42_286
| spl42_362 ),
inference(forward_demodulation,[],[f4958,f324]) ).
fof(f4966,plain,
( $false
| ~ spl42_49
| ~ spl42_117
| ~ spl42_286
| spl42_362 ),
inference(forward_subsumption_resolution,[],[f4962,f1160]) ).
fof(f4967,plain,
( ~ spl42_49
| ~ spl42_117
| ~ spl42_286
| spl42_362 ),
inference(avatar_contradiction_clause,[],[f4966]) ).
fof(f4971,plain,
( op2(e23,e21) != h9(op1(e13,e12))
| ~ spl42_177
| spl42_372 ),
inference(forward_demodulation,[],[f3540,f1573]) ).
fof(f4975,plain,
( op2(e23,e21) != h9(e11)
| ~ spl42_7
| ~ spl42_177
| spl42_372 ),
inference(forward_demodulation,[],[f4971,f660]) ).
fof(f4979,plain,
( e22 != op2(e23,e21)
| ~ spl42_7
| ~ spl42_177
| spl42_372 ),
inference(forward_demodulation,[],[f4975,f325]) ).
fof(f4982,plain,
( $false
| ~ spl42_7
| ~ spl42_78
| ~ spl42_177
| spl42_372 ),
inference(forward_subsumption_resolution,[],[f4979,f994]) ).
fof(f4983,plain,
( ~ spl42_7
| ~ spl42_78
| ~ spl42_177
| spl42_372 ),
inference(avatar_contradiction_clause,[],[f4982]) ).
fof(f4986,plain,
( h9(e12) != h12(e12)
| ~ spl42_34
| spl42_366 ),
inference(forward_demodulation,[],[f3516,f775]) ).
fof(f4990,plain,
( e21 != h9(e12)
| ~ spl42_34
| ~ spl42_150
| spl42_366 ),
inference(forward_demodulation,[],[f4986,f1429]) ).
fof(f4994,plain,
( $false
| ~ spl42_34
| ~ spl42_150
| ~ spl42_177
| spl42_366 ),
inference(forward_subsumption_resolution,[],[f4990,f1573]) ).
fof(f4995,plain,
( ~ spl42_34
| ~ spl42_150
| ~ spl42_177
| spl42_366 ),
inference(avatar_contradiction_clause,[],[f4994]) ).
fof(f5003,plain,
( h9(e12) != h9(e12)
| ~ spl42_10
| spl42_371 ),
inference(forward_demodulation,[],[f3536,f673]) ).
fof(f5004,plain,
( $false
| ~ spl42_10
| spl42_371 ),
inference(trivial_inequality_removal,[],[f5003]) ).
fof(f5005,plain,
( ~ spl42_10
| spl42_371 ),
inference(avatar_contradiction_clause,[],[f5004]) ).
fof(f5014,plain,
( op2(e21,e23) != h9(op1(e12,e13))
| ~ spl42_177
| spl42_369 ),
inference(forward_demodulation,[],[f3528,f1573]) ).
fof(f5016,plain,
( op2(e21,e23) != h9(e11)
| ~ spl42_19
| ~ spl42_177
| spl42_369 ),
inference(forward_demodulation,[],[f5014,f711]) ).
fof(f5018,plain,
( e22 != op2(e21,e23)
| ~ spl42_19
| ~ spl42_177
| spl42_369 ),
inference(forward_demodulation,[],[f5016,f325]) ).
fof(f5021,plain,
( $false
| ~ spl42_19
| ~ spl42_102
| ~ spl42_177
| spl42_369 ),
inference(forward_subsumption_resolution,[],[f5018,f1096]) ).
fof(f5022,plain,
( ~ spl42_19
| ~ spl42_102
| ~ spl42_177
| spl42_369 ),
inference(avatar_contradiction_clause,[],[f5021]) ).
fof(f5025,plain,
( h9(op1(e10,e12)) != op2(h7(e10),e21)
| ~ spl42_177
| spl42_361 ),
inference(forward_demodulation,[],[f3496,f1573]) ).
fof(f5029,plain,
( op2(e20,e21) != h9(op1(e10,e12))
| ~ spl42_177
| ~ spl42_286
| spl42_361 ),
inference(forward_demodulation,[],[f5025,f2965]) ).
fof(f5033,plain,
( op2(e20,e21) != h9(e12)
| ~ spl42_54
| ~ spl42_177
| ~ spl42_286
| spl42_361 ),
inference(forward_demodulation,[],[f5029,f860]) ).
fof(f5036,plain,
( e21 != op2(e20,e21)
| ~ spl42_54
| ~ spl42_177
| ~ spl42_286
| spl42_361 ),
inference(forward_demodulation,[],[f5033,f1573]) ).
fof(f5039,plain,
( $false
| ~ spl42_54
| ~ spl42_127
| ~ spl42_177
| ~ spl42_286
| spl42_361 ),
inference(forward_subsumption_resolution,[],[f5036,f1202]) ).
fof(f5040,plain,
( ~ spl42_54
| ~ spl42_127
| ~ spl42_177
| ~ spl42_286
| spl42_361 ),
inference(avatar_contradiction_clause,[],[f5039]) ).
fof(f5044,plain,
( op2(e22,e21) != h9(op1(e11,e12))
| ~ spl42_177
| spl42_365 ),
inference(forward_demodulation,[],[f3512,f1573]) ).
fof(f5048,plain,
( op2(e22,e21) != h9(e13)
| ~ spl42_37
| ~ spl42_177
| spl42_365 ),
inference(forward_demodulation,[],[f5044,f788]) ).
fof(f5052,plain,
( e23 != op2(e22,e21)
| ~ spl42_37
| ~ spl42_177
| spl42_365 ),
inference(forward_demodulation,[],[f5048,f324]) ).
fof(f5057,plain,
( $false
| ~ spl42_37
| ~ spl42_93
| ~ spl42_177
| spl42_365 ),
inference(forward_subsumption_resolution,[],[f5052,f1058]) ).
fof(f5058,plain,
( ~ spl42_37
| ~ spl42_93
| ~ spl42_177
| spl42_365 ),
inference(avatar_contradiction_clause,[],[f5057]) ).
fof(f5062,plain,
( h9(op1(e12,e10)) != op2(h9(e12),e20)
| ~ spl42_286
| spl42_367 ),
inference(forward_demodulation,[],[f3520,f2965]) ).
fof(f5066,plain,
( op2(e21,e20) != h9(op1(e12,e10))
| ~ spl42_177
| ~ spl42_286
| spl42_367 ),
inference(forward_demodulation,[],[f5062,f1573]) ).
fof(f5070,plain,
( op2(e21,e20) != h9(e12)
| ~ spl42_30
| ~ spl42_177
| ~ spl42_286
| spl42_367 ),
inference(forward_demodulation,[],[f5066,f758]) ).
fof(f5073,plain,
( e21 != op2(e21,e20)
| ~ spl42_30
| ~ spl42_177
| ~ spl42_286
| spl42_367 ),
inference(forward_demodulation,[],[f5070,f1573]) ).
fof(f5074,plain,
( $false
| ~ spl42_30
| ~ spl42_115
| ~ spl42_177
| ~ spl42_286
| spl42_367 ),
inference(forward_subsumption_resolution,[],[f5073,f1151]) ).
fof(f5075,plain,
( ~ spl42_30
| ~ spl42_115
| ~ spl42_177
| ~ spl42_286
| spl42_367 ),
inference(avatar_contradiction_clause,[],[f5074]) ).
fof(f5078,plain,
( h7(e10) != h9(e10)
| ~ spl42_44
| spl42_364 ),
inference(forward_demodulation,[],[f3508,f817]) ).
fof(f5082,plain,
( $false
| ~ spl42_44
| spl42_364 ),
inference(forward_subsumption_resolution,[],[f5078,f1339]) ).
fof(f5083,plain,
( ~ spl42_44
| spl42_364 ),
inference(avatar_contradiction_clause,[],[f5082]) ).
fof(f5093,plain,
( op2(e22,e20) != h9(op1(e11,e10))
| ~ spl42_286
| spl42_363 ),
inference(forward_demodulation,[],[f3504,f2965]) ).
fof(f5097,plain,
( op2(e22,e20) != h9(e11)
| ~ spl42_47
| ~ spl42_286
| spl42_363 ),
inference(forward_demodulation,[],[f5093,f830]) ).
fof(f5100,plain,
( e22 != op2(e22,e20)
| ~ spl42_47
| ~ spl42_286
| spl42_363 ),
inference(forward_demodulation,[],[f5097,f325]) ).
fof(f5103,plain,
( $false
| ~ spl42_47
| ~ spl42_98
| ~ spl42_286
| spl42_363 ),
inference(forward_subsumption_resolution,[],[f5100,f1079]) ).
fof(f5104,plain,
( ~ spl42_47
| ~ spl42_98
| ~ spl42_286
| spl42_363 ),
inference(avatar_contradiction_clause,[],[f5103]) ).
fof(f5108,plain,
( e20 = e21
| ~ spl42_111
| ~ spl42_112 ),
inference(forward_demodulation,[],[f1134,f1138]) ).
fof(f5140,plain,
( $false
| ~ spl42_111
| ~ spl42_112 ),
inference(forward_subsumption_resolution,[],[f5108,f415]) ).
fof(f5141,plain,
( ~ spl42_111
| ~ spl42_112 ),
inference(avatar_contradiction_clause,[],[f5140]) ).
cnf(s17,plain,
( spl42_65
| spl42_66
| spl42_67
| spl42_68 ),
inference(sat_conversion,[],[f920]) ).
cnf(s20,plain,
( spl42_2
| spl42_18
| spl42_34
| spl42_50 ),
inference(sat_conversion,[],[f923]) ).
cnf(s23,plain,
( spl42_3
| spl42_7
| spl42_11
| spl42_15 ),
inference(sat_conversion,[],[f926]) ).
cnf(s26,plain,
( spl42_5
| spl42_21
| spl42_37
| spl42_53 ),
inference(sat_conversion,[],[f929]) ).
cnf(s31,plain,
( spl42_19
| spl42_23
| spl42_27
| spl42_31 ),
inference(sat_conversion,[],[f934]) ).
cnf(s34,plain,
( spl42_9
| spl42_25
| spl42_41
| spl42_57 ),
inference(sat_conversion,[],[f937]) ).
cnf(s42,plain,
( spl42_13
| spl42_29
| spl42_45
| spl42_61 ),
inference(sat_conversion,[],[f945]) ).
cnf(s66,plain,
( spl42_133
| spl42_134
| spl42_135
| spl42_136 ),
inference(sat_conversion,[],[f1241]) ).
cnf(s68,plain,
( spl42_69
| spl42_73
| spl42_77
| spl42_81 ),
inference(sat_conversion,[],[f1243]) ).
cnf(s69,plain,
( spl42_70
| spl42_86
| spl42_102
| spl42_118 ),
inference(sat_conversion,[],[f1244]) ).
cnf(s72,plain,
( spl42_71
| spl42_75
| spl42_79
| spl42_83 ),
inference(sat_conversion,[],[f1247]) ).
cnf(s75,plain,
( spl42_73
| spl42_89
| spl42_105
| spl42_121 ),
inference(sat_conversion,[],[f1250]) ).
cnf(s78,plain,
( spl42_86
| spl42_90
| spl42_94
| spl42_98 ),
inference(sat_conversion,[],[f1253]) ).
cnf(s80,plain,
( spl42_87
| spl42_91
| spl42_95
| spl42_99 ),
inference(sat_conversion,[],[f1255]) ).
cnf(s83,plain,
( spl42_77
| spl42_93
| spl42_109
| spl42_125 ),
inference(sat_conversion,[],[f1258]) ).
cnf(s92,plain,
( spl42_117
| spl42_121
| spl42_125
| spl42_129 ),
inference(sat_conversion,[],[f1267]) ).
cnf(s99,plain,
( spl42_4
| spl42_137
| spl42_138
| spl42_139 ),
inference(sat_conversion,[],[f1286]) ).
cnf(s100,plain,
( spl42_24
| spl42_137
| spl42_138
| spl42_139 ),
inference(sat_conversion,[],[f1287]) ).
cnf(s102,plain,
( spl42_64
| spl42_137
| spl42_138
| spl42_139 ),
inference(sat_conversion,[],[f1289]) ).
cnf(s105,plain,
( spl42_41
| ~ spl42_137 ),
inference(sat_conversion,[],[f1292]) ).
cnf(s109,plain,
( spl42_42
| ~ spl42_138 ),
inference(sat_conversion,[],[f1296]) ).
cnf(s113,plain,
( spl42_43
| ~ spl42_139 ),
inference(sat_conversion,[],[f1300]) ).
cnf(s115,plain,
( spl42_72
| spl42_140
| spl42_141
| spl42_142 ),
inference(sat_conversion,[],[f1314]) ).
cnf(s116,plain,
( spl42_92
| spl42_140
| spl42_141
| spl42_142 ),
inference(sat_conversion,[],[f1315]) ).
cnf(s118,plain,
( spl42_132
| spl42_140
| spl42_141
| spl42_142 ),
inference(sat_conversion,[],[f1317]) ).
cnf(s121,plain,
( spl42_109
| ~ spl42_140 ),
inference(sat_conversion,[],[f1320]) ).
cnf(s125,plain,
( spl42_110
| ~ spl42_141 ),
inference(sat_conversion,[],[f1324]) ).
cnf(s129,plain,
( spl42_111
| ~ spl42_142 ),
inference(sat_conversion,[],[f1328]) ).
cnf(s131,plain,
spl42_10,
inference(sat_conversion,[],[f1330]) ).
cnf(s132,plain,
spl42_44,
inference(sat_conversion,[],[f1331]) ).
cnf(s133,plain,
spl42_78,
inference(sat_conversion,[],[f1332]) ).
cnf(s134,plain,
spl42_112,
inference(sat_conversion,[],[f1333]) ).
cnf(s157,plain,
( ~ spl42_176
| ~ spl42_177 ),
inference(sat_conversion,[],[f1575]) ).
cnf(s212,plain,
~ spl42_170,
inference(sat_conversion,[],[f2019]) ).
cnf(s213,plain,
~ spl42_173,
inference(sat_conversion,[],[f2020]) ).
cnf(s247,plain,
( spl42_170
| spl42_173
| spl42_176
| ~ spl42_286
| ~ spl42_358
| ~ spl42_359
| ~ spl42_360
| ~ spl42_361
| ~ spl42_362
| ~ spl42_363
| ~ spl42_364
| ~ spl42_365
| ~ spl42_366
| ~ spl42_367
| ~ spl42_368
| ~ spl42_369
| ~ spl42_370
| ~ spl42_371
| ~ spl42_372
| ~ spl42_373 ),
inference(sat_conversion,[],[f3910]) ).
cnf(s258,plain,
( ~ spl42_4
| ~ spl42_65 ),
inference(sat_conversion,[],[f3952]) ).
cnf(s259,plain,
( ~ spl42_24
| ~ spl42_66 ),
inference(sat_conversion,[],[f3959]) ).
cnf(s261,plain,
( ~ spl42_10
| ~ spl42_67 ),
inference(sat_conversion,[],[f3969]) ).
cnf(s263,plain,
( spl42_30
| ~ spl42_68 ),
inference(sat_conversion,[],[f3978]) ).
cnf(s264,plain,
( ~ spl42_50
| ~ spl42_68 ),
inference(sat_conversion,[],[f3982]) ).
cnf(s267,plain,
( ~ spl42_15
| ~ spl42_68 ),
inference(sat_conversion,[],[f3992]) ).
cnf(s268,plain,
( spl42_47
| ~ spl42_68 ),
inference(sat_conversion,[],[f3999]) ).
cnf(s269,plain,
( spl42_59
| ~ spl42_68 ),
inference(sat_conversion,[],[f4001]) ).
cnf(s273,plain,
( ~ spl42_5
| ~ spl42_7 ),
inference(sat_conversion,[],[f4016]) ).
cnf(s275,plain,
( ~ spl42_10
| ~ spl42_11 ),
inference(sat_conversion,[],[f4023]) ).
cnf(s276,plain,
( ~ spl42_3
| ~ spl42_4 ),
inference(sat_conversion,[],[f4027]) ).
cnf(s280,plain,
( ~ spl42_18
| ~ spl42_19 ),
inference(sat_conversion,[],[f4043]) ).
cnf(s282,plain,
( ~ spl42_29
| ~ spl42_30 ),
inference(sat_conversion,[],[f4051]) ).
cnf(s284,plain,
( ~ spl42_30
| ~ spl42_31 ),
inference(sat_conversion,[],[f4059]) ).
cnf(s288,plain,
( ~ spl42_45
| ~ spl42_47 ),
inference(sat_conversion,[],[f4073]) ).
cnf(s290,plain,
( ~ spl42_53
| ~ spl42_54 ),
inference(sat_conversion,[],[f4082]) ).
cnf(s294,plain,
( ~ spl42_57
| ~ spl42_59 ),
inference(sat_conversion,[],[f4096]) ).
cnf(s296,plain,
( ~ spl42_69
| ~ spl42_72 ),
inference(sat_conversion,[],[f4103]) ).
cnf(s301,plain,
( ~ spl42_72
| ~ spl42_133 ),
inference(sat_conversion,[],[f4117]) ).
cnf(s303,plain,
( ~ spl42_77
| ~ spl42_78 ),
inference(sat_conversion,[],[f4125]) ).
cnf(s305,plain,
( ~ spl42_90
| ~ spl42_92 ),
inference(sat_conversion,[],[f4128]) ).
cnf(s311,plain,
( ~ spl42_91
| ~ spl42_92 ),
inference(sat_conversion,[],[f4142]) ).
cnf(s322,plain,
( ~ spl42_92
| ~ spl42_134 ),
inference(sat_conversion,[],[f4175]) ).
cnf(s328,plain,
( ~ spl42_112
| ~ spl42_135 ),
inference(sat_conversion,[],[f4198]) ).
cnf(s331,plain,
( spl42_127
| ~ spl42_136 ),
inference(sat_conversion,[],[f4214]) ).
cnf(s332,plain,
( spl42_115
| ~ spl42_136 ),
inference(sat_conversion,[],[f4215]) ).
cnf(s333,plain,
( spl42_122
| ~ spl42_136 ),
inference(sat_conversion,[],[f4216]) ).
cnf(s334,plain,
( ~ spl42_118
| ~ spl42_136 ),
inference(sat_conversion,[],[f4219]) ).
cnf(s344,plain,
( ~ spl42_78
| ~ spl42_79 ),
inference(sat_conversion,[],[f4245]) ).
cnf(s347,plain,
( ~ spl42_93
| ~ spl42_94 ),
inference(sat_conversion,[],[f4253]) ).
cnf(s357,plain,
( ~ spl42_73
| ~ spl42_75 ),
inference(sat_conversion,[],[f4286]) ).
cnf(s360,plain,
( ~ spl42_89
| ~ spl42_92 ),
inference(sat_conversion,[],[f4290]) ).
cnf(s362,plain,
( ~ spl42_99
| ~ spl42_136 ),
inference(sat_conversion,[],[f4293]) ).
cnf(s365,plain,
( ~ spl42_93
| ~ spl42_95 ),
inference(sat_conversion,[],[f4303]) ).
cnf(s369,plain,
( ~ spl42_71
| ~ spl42_72 ),
inference(sat_conversion,[],[f4316]) ).
cnf(s377,plain,
( ~ spl42_121
| ~ spl42_122 ),
inference(sat_conversion,[],[f4336]) ).
cnf(s380,plain,
( ~ spl42_125
| ~ spl42_127 ),
inference(sat_conversion,[],[f4344]) ).
cnf(s384,plain,
( ~ spl42_70
| ~ spl42_72 ),
inference(sat_conversion,[],[f4359]) ).
cnf(s386,plain,
( ~ spl42_109
| ~ spl42_112 ),
inference(sat_conversion,[],[f4362]) ).
cnf(s389,plain,
( ~ spl42_110
| ~ spl42_112 ),
inference(sat_conversion,[],[f4372]) ).
cnf(s391,plain,
( ~ spl42_87
| spl42_150 ),
inference(sat_conversion,[],[f4379]) ).
cnf(s405,plain,
( ~ spl42_86
| ~ spl42_150 ),
inference(sat_conversion,[],[f4419]) ).
cnf(s411,plain,
( ~ spl42_117
| spl42_162 ),
inference(sat_conversion,[],[f4447]) ).
cnf(s413,plain,
( ~ spl42_24
| ~ spl42_162
| spl42_252 ),
inference(sat_conversion,[],[f4453]) ).
cnf(s414,plain,
( ~ spl42_72
| spl42_268 ),
inference(sat_conversion,[],[f4461]) ).
cnf(s419,plain,
( spl42_54
| ~ spl42_68 ),
inference(sat_conversion,[],[f4483]) ).
cnf(s427,plain,
( ~ spl42_75
| spl42_177 ),
inference(sat_conversion,[],[f4523]) ).
cnf(s434,plain,
( ~ spl42_92
| spl42_286 ),
inference(sat_conversion,[],[f4541]) ).
cnf(s439,plain,
( spl42_49
| ~ spl42_68 ),
inference(sat_conversion,[],[f4579]) ).
cnf(s441,plain,
( ~ spl42_61
| ~ spl42_64 ),
inference(sat_conversion,[],[f4584]) ).
cnf(s443,plain,
( ~ spl42_21
| ~ spl42_24 ),
inference(sat_conversion,[],[f4596]) ).
cnf(s444,plain,
( ~ spl42_41
| ~ spl42_44 ),
inference(sat_conversion,[],[f4598]) ).
cnf(s449,plain,
( ~ spl42_42
| ~ spl42_44 ),
inference(sat_conversion,[],[f4631]) ).
cnf(s457,plain,
( ~ spl42_43
| ~ spl42_44 ),
inference(sat_conversion,[],[f4677]) ).
cnf(s460,plain,
( ~ spl42_23
| ~ spl42_72
| ~ spl42_162
| ~ spl42_252 ),
inference(sat_conversion,[],[f4707]) ).
cnf(s467,plain,
( ~ spl42_64
| ~ spl42_132
| ~ spl42_286
| spl42_360 ),
inference(sat_conversion,[],[f4772]) ).
cnf(s472,plain,
( ~ spl42_13
| ~ spl42_81
| ~ spl42_286
| spl42_370 ),
inference(sat_conversion,[],[f4801]) ).
cnf(s475,plain,
( ~ spl42_129
| ~ spl42_132 ),
inference(sat_conversion,[],[f4815]) ).
cnf(s476,plain,
( ~ spl42_83
| ~ spl42_136 ),
inference(sat_conversion,[],[f4820]) ).
cnf(s483,plain,
( ~ spl42_25
| ~ spl42_105
| ~ spl42_177
| spl42_368 ),
inference(sat_conversion,[],[f4851]) ).
cnf(s484,plain,
( ~ spl42_9
| ~ spl42_10 ),
inference(sat_conversion,[],[f4857]) ).
cnf(s485,plain,
( ~ spl42_25
| ~ spl42_27 ),
inference(sat_conversion,[],[f4865]) ).
cnf(s486,plain,
( ~ spl42_24
| ~ spl42_112
| ~ spl42_177
| ~ spl42_286
| spl42_358 ),
inference(sat_conversion,[],[f4873]) ).
cnf(s489,plain,
( ~ spl42_2
| ~ spl42_4 ),
inference(sat_conversion,[],[f4912]) ).
cnf(s492,plain,
( ~ spl42_4
| ~ spl42_268
| ~ spl42_286
| spl42_373 ),
inference(sat_conversion,[],[f4935]) ).
cnf(s493,plain,
( ~ spl42_59
| ~ spl42_122
| ~ spl42_286
| spl42_359 ),
inference(sat_conversion,[],[f4948]) ).
cnf(s496,plain,
( ~ spl42_49
| ~ spl42_117
| ~ spl42_286
| spl42_362 ),
inference(sat_conversion,[],[f4967]) ).
cnf(s498,plain,
( ~ spl42_7
| ~ spl42_78
| ~ spl42_177
| spl42_372 ),
inference(sat_conversion,[],[f4983]) ).
cnf(s499,plain,
( ~ spl42_34
| ~ spl42_150
| ~ spl42_177
| spl42_366 ),
inference(sat_conversion,[],[f4995]) ).
cnf(s501,plain,
( ~ spl42_10
| spl42_371 ),
inference(sat_conversion,[],[f5005]) ).
cnf(s504,plain,
( ~ spl42_19
| ~ spl42_102
| ~ spl42_177
| spl42_369 ),
inference(sat_conversion,[],[f5022]) ).
cnf(s506,plain,
( ~ spl42_54
| ~ spl42_127
| ~ spl42_177
| ~ spl42_286
| spl42_361 ),
inference(sat_conversion,[],[f5040]) ).
cnf(s508,plain,
( ~ spl42_37
| ~ spl42_93
| ~ spl42_177
| spl42_365 ),
inference(sat_conversion,[],[f5058]) ).
cnf(s510,plain,
( ~ spl42_30
| ~ spl42_115
| ~ spl42_177
| ~ spl42_286
| spl42_367 ),
inference(sat_conversion,[],[f5075]) ).
cnf(s511,plain,
( ~ spl42_44
| spl42_364 ),
inference(sat_conversion,[],[f5083]) ).
cnf(s514,plain,
( ~ spl42_47
| ~ spl42_98
| ~ spl42_286
| spl42_363 ),
inference(sat_conversion,[],[f5104]) ).
cnf(s518,plain,
( ~ spl42_111
| ~ spl42_112 ),
inference(sat_conversion,[],[f5141]) ).
cnf(s522,plain,
~ spl42_111,
inference(rat,[],[s518,s134]) ).
cnf(s523,plain,
~ spl42_110,
inference(rat,[],[s389,s134]) ).
cnf(s524,plain,
~ spl42_109,
inference(rat,[],[s386,s134]) ).
cnf(s525,plain,
~ spl42_135,
inference(rat,[],[s328,s134]) ).
cnf(s528,plain,
~ spl42_79,
inference(rat,[],[s344,s133]) ).
cnf(s529,plain,
~ spl42_77,
inference(rat,[],[s303,s133]) ).
cnf(s532,plain,
spl42_364,
inference(rat,[],[s511,s132]) ).
cnf(s534,plain,
~ spl42_43,
inference(rat,[],[s457,s132]) ).
cnf(s535,plain,
~ spl42_42,
inference(rat,[],[s449,s132]) ).
cnf(s536,plain,
~ spl42_41,
inference(rat,[],[s444,s132]) ).
cnf(s537,plain,
spl42_371,
inference(rat,[],[s501,s131]) ).
cnf(s538,plain,
~ spl42_9,
inference(rat,[],[s484,s131]) ).
cnf(s540,plain,
~ spl42_11,
inference(rat,[],[s275,s131]) ).
cnf(s541,plain,
~ spl42_67,
inference(rat,[],[s261,s131]) ).
cnf(s543,plain,
~ spl42_142,
inference(rat,[],[s129,s522]) ).
cnf(s544,plain,
~ spl42_141,
inference(rat,[],[s125,s523]) ).
cnf(s545,plain,
~ spl42_140,
inference(rat,[],[s121,s524]) ).
cnf(s546,plain,
spl42_132,
inference(rat,[],[s118,s543,s544,s545]) ).
cnf(s548,plain,
~ spl42_129,
inference(rat,[],[s475,s546]) ).
cnf(s552,plain,
spl42_92,
inference(rat,[],[s116,s543,s544,s545]) ).
cnf(s553,plain,
spl42_286,
inference(rat,[],[s434,s552]) ).
cnf(s554,plain,
~ spl42_89,
inference(rat,[],[s360,s552]) ).
cnf(s555,plain,
~ spl42_134,
inference(rat,[],[s322,s552]) ).
cnf(s556,plain,
~ spl42_91,
inference(rat,[],[s311,s552]) ).
cnf(s557,plain,
~ spl42_90,
inference(rat,[],[s305,s552]) ).
cnf(s561,plain,
spl42_72,
inference(rat,[],[s115,s543,s544,s545]) ).
cnf(s562,plain,
spl42_268,
inference(rat,[],[s414,s561]) ).
cnf(s563,plain,
~ spl42_70,
inference(rat,[],[s384,s561]) ).
cnf(s564,plain,
~ spl42_71,
inference(rat,[],[s369,s561]) ).
cnf(s565,plain,
~ spl42_133,
inference(rat,[],[s301,s561]) ).
cnf(s566,plain,
~ spl42_69,
inference(rat,[],[s296,s561]) ).
cnf(s570,plain,
~ spl42_139,
inference(rat,[],[s113,s534]) ).
cnf(s571,plain,
~ spl42_138,
inference(rat,[],[s109,s535]) ).
cnf(s572,plain,
~ spl42_137,
inference(rat,[],[s105,s536]) ).
cnf(s573,plain,
spl42_64,
inference(rat,[],[s102,s570,s571,s572]) ).
cnf(s575,plain,
spl42_360,
inference(rat,[],[s467,s553,s546,s573]) ).
cnf(s577,plain,
~ spl42_61,
inference(rat,[],[s441,s573]) ).
cnf(s581,plain,
spl42_24,
inference(rat,[],[s100,s570,s571,s572]) ).
cnf(s582,plain,
~ spl42_21,
inference(rat,[],[s443,s581]) ).
cnf(s584,plain,
~ spl42_66,
inference(rat,[],[s259,s581]) ).
cnf(s585,plain,
spl42_4,
inference(rat,[],[s99,s570,s571,s572]) ).
cnf(s586,plain,
spl42_373,
inference(rat,[],[s492,s562,s553,s585]) ).
cnf(s588,plain,
~ spl42_2,
inference(rat,[],[s489,s585]) ).
cnf(s590,plain,
~ spl42_3,
inference(rat,[],[s276,s585]) ).
cnf(s591,plain,
~ spl42_65,
inference(rat,[],[s258,s585]) ).
cnf(s596,plain,
( spl42_117
| spl42_121
| spl42_125 ),
inference(rat,[],[s92,s548]) ).
cnf(s602,plain,
( spl42_93
| spl42_125 ),
inference(rat,[],[s83,s524,s529]) ).
cnf(s603,plain,
( spl42_87
| spl42_95
| spl42_99 ),
inference(rat,[],[s80,s556]) ).
cnf(s605,plain,
( spl42_86
| spl42_94
| spl42_98 ),
inference(rat,[],[s78,s557]) ).
cnf(s608,plain,
( spl42_73
| spl42_105
| spl42_121 ),
inference(rat,[],[s75,s554]) ).
cnf(s609,plain,
( spl42_75
| spl42_83 ),
inference(rat,[],[s72,s528,s564]) ).
cnf(s611,plain,
( spl42_86
| spl42_102
| spl42_118 ),
inference(rat,[],[s69,s563]) ).
cnf(s612,plain,
( spl42_73
| spl42_81 ),
inference(rat,[],[s68,s529,s566]) ).
cnf(s614,plain,
spl42_136,
inference(rat,[],[s66,s525,s555,s565]) ).
cnf(s615,plain,
~ spl42_83,
inference(rat,[],[s476,s614]) ).
cnf(s617,plain,
~ spl42_99,
inference(rat,[],[s362,s614]) ).
cnf(s620,plain,
~ spl42_118,
inference(rat,[],[s334,s614]) ).
cnf(s621,plain,
spl42_122,
inference(rat,[],[s333,s614]) ).
cnf(s622,plain,
spl42_115,
inference(rat,[],[s332,s614]) ).
cnf(s623,plain,
spl42_127,
inference(rat,[],[s331,s614]) ).
cnf(s625,plain,
spl42_75,
inference(rat,[],[s609,s615]) ).
cnf(s632,plain,
~ spl42_121,
inference(rat,[],[s377,s621]) ).
cnf(s634,plain,
~ spl42_125,
inference(rat,[],[s380,s623]) ).
cnf(s635,plain,
spl42_177,
inference(rat,[],[s427,s625]) ).
cnf(s637,plain,
~ spl42_73,
inference(rat,[],[s357,s625]) ).
cnf(s641,plain,
spl42_117,
inference(rat,[],[s596,s634,s632]) ).
cnf(s644,plain,
spl42_93,
inference(rat,[],[s602,s634]) ).
cnf(s645,plain,
~ spl42_176,
inference(rat,[],[s157,s635]) ).
cnf(s646,plain,
spl42_358,
inference(rat,[],[s486,s581,s553,s134,s635]) ).
cnf(s649,plain,
spl42_105,
inference(rat,[],[s608,s632,s637]) ).
cnf(s650,plain,
spl42_81,
inference(rat,[],[s612,s637]) ).
cnf(s652,plain,
spl42_162,
inference(rat,[],[s411,s641]) ).
cnf(s653,plain,
~ spl42_95,
inference(rat,[],[s365,s644]) ).
cnf(s654,plain,
~ spl42_94,
inference(rat,[],[s347,s644]) ).
cnf(s659,plain,
spl42_252,
inference(rat,[],[s413,s581,s652]) ).
cnf(s660,plain,
~ spl42_23,
inference(rat,[],[s460,s659,s561,s652]) ).
cnf(s662,plain,
spl42_87,
inference(rat,[],[s603,s617,s653]) ).
cnf(s668,plain,
spl42_150,
inference(rat,[],[s391,s662]) ).
cnf(s670,plain,
~ spl42_86,
inference(rat,[],[s405,s668]) ).
cnf(s675,plain,
spl42_98,
inference(rat,[],[s605,s654,s670]) ).
cnf(s676,plain,
spl42_102,
inference(rat,[],[s611,s620,s670]) ).
cnf(s690,plain,
( spl42_13
| spl42_29
| spl42_45 ),
inference(rat,[],[s42,s577]) ).
cnf(s695,plain,
( spl42_25
| spl42_57 ),
inference(rat,[],[s34,s536,s538]) ).
cnf(s696,plain,
( spl42_19
| spl42_27
| spl42_31 ),
inference(rat,[],[s31,s660]) ).
cnf(s701,plain,
( spl42_5
| spl42_37
| spl42_53 ),
inference(rat,[],[s26,s582]) ).
cnf(s702,plain,
( spl42_7
| spl42_15 ),
inference(rat,[],[s23,s540,s590]) ).
cnf(s704,plain,
( spl42_18
| spl42_34
| spl42_50 ),
inference(rat,[],[s20,s588]) ).
cnf(s707,plain,
spl42_68,
inference(rat,[],[s17,s541,s584,s591]) ).
cnf(s708,plain,
spl42_49,
inference(rat,[],[s439,s707]) ).
cnf(s710,plain,
spl42_54,
inference(rat,[],[s419,s707]) ).
cnf(s711,plain,
spl42_59,
inference(rat,[],[s269,s707]) ).
cnf(s712,plain,
spl42_47,
inference(rat,[],[s268,s707]) ).
cnf(s713,plain,
~ spl42_15,
inference(rat,[],[s267,s707]) ).
cnf(s716,plain,
~ spl42_50,
inference(rat,[],[s264,s707]) ).
cnf(s717,plain,
spl42_30,
inference(rat,[],[s263,s707]) ).
cnf(s719,plain,
spl42_362,
inference(rat,[],[s496,s641,s553,s708]) ).
cnf(s722,plain,
spl42_361,
inference(rat,[],[s506,s635,s553,s623,s710]) ).
cnf(s726,plain,
~ spl42_53,
inference(rat,[],[s290,s710]) ).
cnf(s728,plain,
spl42_359,
inference(rat,[],[s493,s621,s553,s711]) ).
cnf(s730,plain,
~ spl42_57,
inference(rat,[],[s294,s711]) ).
cnf(s731,plain,
spl42_363,
inference(rat,[],[s514,s675,s553,s712]) ).
cnf(s734,plain,
~ spl42_45,
inference(rat,[],[s288,s712]) ).
cnf(s735,plain,
spl42_7,
inference(rat,[],[s702,s713]) ).
cnf(s736,plain,
spl42_367,
inference(rat,[],[s510,s635,s553,s622,s717]) ).
cnf(s739,plain,
~ spl42_31,
inference(rat,[],[s284,s717]) ).
cnf(s740,plain,
~ spl42_29,
inference(rat,[],[s282,s717]) ).
cnf(s741,plain,
spl42_25,
inference(rat,[],[s695,s730]) ).
cnf(s743,plain,
spl42_372,
inference(rat,[],[s498,s635,s133,s735]) ).
cnf(s744,plain,
~ spl42_5,
inference(rat,[],[s273,s735]) ).
cnf(s745,plain,
spl42_13,
inference(rat,[],[s690,s734,s740]) ).
cnf(s747,plain,
~ spl42_27,
inference(rat,[],[s485,s741]) ).
cnf(s748,plain,
spl42_368,
inference(rat,[],[s483,s649,s635,s741]) ).
cnf(s749,plain,
spl42_37,
inference(rat,[],[s701,s726,s744]) ).
cnf(s750,plain,
spl42_370,
inference(rat,[],[s472,s650,s553,s745]) ).
cnf(s751,plain,
spl42_19,
inference(rat,[],[s696,s739,s747]) ).
cnf(s752,plain,
spl42_365,
inference(rat,[],[s508,s644,s635,s749]) ).
cnf(s756,plain,
spl42_369,
inference(rat,[],[s504,s676,s635,s751]) ).
cnf(s758,plain,
~ spl42_18,
inference(rat,[],[s280,s751]) ).
cnf(s759,plain,
~ spl42_366,
inference(rat,[],[s247,s586,s743,s537,s750,s756,s748,s736,s728,s722,s532,s731,s719,s646,s575,s645,s553,s212,s213,s752]) ).
cnf(s760,plain,
spl42_34,
inference(rat,[],[s704,s716,s758]) ).
cnf(s761,plain,
$false,
inference(rat,[],[s499,s668,s635,s759,s760]) ).
fof(f5187,plain,
$false,
inference(avatar_sat_refutation,[],[s761]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ALG037+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 19:19:34 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running first-order theorem proving
% 0.08/0.12 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
% 2.60/0.77 % (3659975)Detected formulas, will run a generic FOF schedule.
% 2.60/0.77 % (3659985)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4135414724:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.60/0.77 % (3659984)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=642287410:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.60/0.77 % (3659980)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=2800189711:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.60/0.77 % (3659983)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1183601508:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.60/0.77 % (3659986)dis-21_1_sil=8000:lcm=predicate:random_seed=2929867935: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)
% 2.60/0.77 % (3659981)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=473402779:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.60/0.77 % (3659982)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=2802953348:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.60/0.77 % (3659986)Refutation not found, incomplete strategy
% 2.60/0.77 % (3659986)------------------------------
% 2.60/0.77 % (3659986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/0.77 % (3659986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.77 % (3659986)CaDiCaL version: 2.1.3
% 2.60/0.77 % (3659986)Termination reason: Refutation not found, incomplete strategy
% 2.60/0.77 % (3659986)Time elapsed: 0.013 s
% 2.60/0.77 % (3659986)Peak memory usage: 90 MB
% 2.60/0.77 % (3659986)Instructions burned: 52 (million)
% 2.60/0.77 % (3659984)Instruction limit reached!
% 2.60/0.77 % (3659984)------------------------------
% 2.60/0.77 % (3659984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/0.77 % (3659984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.77 % (3659984)CaDiCaL version: 2.1.3
% 2.60/0.77 % (3659984)Termination reason: Instruction limit
% 2.60/0.77 % (3659984)Termination phase: Saturation
% 2.60/0.77 % (3659984)Time elapsed: 0.026 s
% 2.60/0.77 % (3659984)Peak memory usage: 88 MB
% 2.60/0.77 % (3659984)Instructions burned: 121 (million)
% 2.60/0.77 % (3659983)Instruction limit reached!
% 2.60/0.77 % (3659983)------------------------------
% 2.60/0.77 % (3659983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/0.77 % (3659983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.77 % (3659983)CaDiCaL version: 2.1.3
% 2.60/0.77 % (3659983)Termination reason: Instruction limit
% 2.60/0.77 % (3659983)Termination phase: Saturation
% 2.60/0.77 % (3659983)Time elapsed: 0.026 s
% 2.60/0.77 % (3659983)Peak memory usage: 90 MB
% 2.60/0.77 % (3659983)Instructions burned: 111 (million)
% 2.60/0.77 % (3659985)Instruction limit reached!
% 2.60/0.77 % (3659985)------------------------------
% 2.60/0.77 % (3659985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/0.77 % (3659985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.77 % (3659985)CaDiCaL version: 2.1.3
% 2.60/0.77 % (3659985)Termination reason: Instruction limit
% 2.60/0.77 % (3659985)Termination phase: Saturation
% 2.60/0.77 % (3659985)Time elapsed: 0.037 s
% 2.60/0.77 % (3659985)Peak memory usage: 90 MB
% 2.60/0.77 % (3659985)Instructions burned: 139 (million)
% 2.60/0.77 % (3659994)lrs+10_1_sil=8000:sp=occurrence:random_seed=695106502:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.60/0.77 % (3659995)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1074168593:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 2.60/0.77 % (3659996)lrs+1011_1_sil=32000:sp=occurrence:random_seed=175507388:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 2.60/0.77 % (3659995)Instruction limit reached!
% 2.60/0.77 % (3659995)------------------------------
% 2.60/0.77 % (3659995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/0.77 % (3659995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.77 % (3659995)CaDiCaL version: 2.1.3
% 2.60/0.77 % (3659995)Termination reason: Instruction limit
% 2.60/0.77 % (3659995)Termination phase: Saturation
% 2.60/0.77 % (3659995)Time elapsed: 0.033 s
% 2.60/0.77 % (3659995)Peak memory usage: 89 MB
% 2.60/0.77 % (3659995)Instructions burned: 161 (million)
% 2.60/0.77 % (3659986)------------------------------
% 2.60/0.77 % (3659986)------------------------------
% 2.60/0.77 % (3659994)Refutation not found, incomplete strategy
% 2.60/0.77 % (3659994)------------------------------
% 2.60/0.77 % (3659994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/0.77 % (3659994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.77 % (3659994)CaDiCaL version: 2.1.3
% 2.60/0.77 % (3659994)Termination reason: Refutation not found, incomplete strategy
% 2.60/0.77 % (3659994)Time elapsed: 0.062 s
% 2.60/0.77 % (3659994)Peak memory usage: 90 MB
% 2.60/0.77 % (3659994)Instructions burned: 272 (million)
% 2.60/0.77 % (3659996)First to succeed.
% 2.60/0.77 % (3659996)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3659975"
% 2.60/0.77 [W928 19:19:34.462746580 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 [W928 19:19:34.462767640 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 [W928 19:19:34.462807974 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 [W928 19:19:34.462814469 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 [W928 19:19:34.462828059 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 [W928 19:19:34.462834846 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 [W928 19:19:34.462883817 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 [W928 19:19:34.462899285 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 [W928 19:19:34.462920036 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 [W928 19:19:34.462927260 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 [W928 19:19:34.462928789 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 [W928 19:19:34.462940599 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 [W928 19:19:34.462945196 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 [W928 19:19:34.462946108 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 [W928 19:19:34.462966838 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 [W928 19:19:34.462982178 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 [W928 19:19:34.462998503 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 [W928 19:19:34.463009716 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 2.60/0.77 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 2.60/0.77 % (3660000)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1236777591:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 2.60/0.77 % (3660001)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3441420985:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2997 on theBenchmark for (2997ds/294Mi)
% 2.60/0.77 % (3659994)------------------------------
% 2.60/0.77 % (3659994)------------------------------
% 2.60/0.77 % (3660000)Instruction limit reached!
% 2.60/0.77 % (3660000)------------------------------
% 2.60/0.77 % (3660000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/0.77 % (3660000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.77 % (3660000)CaDiCaL version: 2.1.3
% 2.60/0.77 % (3660000)Termination reason: Instruction limit
% 2.60/0.77 % (3660000)Termination phase: Saturation
% 2.60/0.77 % (3660000)Time elapsed: 0.074 s
% 2.60/0.77 % (3660000)Peak memory usage: 91 MB
% 2.60/0.77 % (3660000)Instructions burned: 251 (million)
% 2.60/0.77 % (3660001)Instruction limit reached!
% 2.60/0.77 % (3660001)------------------------------
% 2.60/0.77 % (3660001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/0.77 % (3660001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.77 % (3660001)CaDiCaL version: 2.1.3
% 2.60/0.77 % (3660001)Termination reason: Instruction limit
% 2.60/0.77 % (3660001)Termination phase: Saturation
% 2.60/0.77 % (3660001)Time elapsed: 0.057 s
% 2.60/0.77 % (3660001)Peak memory usage: 88 MB
% 2.60/0.77 % (3660001)Instructions burned: 299 (million)
% 2.60/0.77 % (3659996)Refutation found. Thanks to Tanya!
% 2.60/0.77 % SZS status Theorem for theBenchmark
% 2.60/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 3.41/0.87 % (3659996)------------------------------
% 3.41/0.87 % (3659996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/0.87 % (3659996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/0.87 % (3659996)CaDiCaL version: 2.1.3
% 3.41/0.87 % (3659996)Termination reason: Refutation
% 3.41/0.87 % (3659996)Time elapsed: 0.076 s
% 3.41/0.87 % (3659996)Peak memory usage: 92 MB
% 3.41/0.87 % (3659996)Instructions burned: 341 (million)
% 3.41/0.87 % (3659996)------------------------------
% 3.41/0.87 % (3659996)------------------------------
% 3.41/0.87 % (3659975)Success in time 0.464 s
% 3.41/0.87 % Vampire exiting
%------------------------------------------------------------------------------