%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG105+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 09:22:44 AM UTC 2026
% Result : Theorem 1.11s 0.39s
% Output : Refutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 123
% Syntax : Number of formulae : 863 ( 225 unt; 101 def)
% Number of atoms : 4345 (2945 equ)
% Maximal formula atoms : 384 ( 5 avg)
% Number of connectives : 5769 (2287 ~;2349 |;1074 &)
% ( 59 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 103 ( 101 usr; 102 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( op1(op1(e10,e10),e10) = e10
& op1(op1(e10,e11),e10) = e11
& op1(op1(e10,e12),e10) = e12
& op1(op1(e10,e13),e10) = e13
& op1(op1(e11,e10),e11) = e10
& op1(op1(e11,e11),e11) = e11
& op1(op1(e11,e12),e11) = e12
& op1(op1(e11,e13),e11) = e13
& op1(op1(e12,e10),e12) = e10
& op1(op1(e12,e11),e12) = e11
& op1(op1(e12,e12),e12) = e12
& op1(op1(e12,e13),e12) = e13
& op1(op1(e13,e10),e13) = e10
& op1(op1(e13,e11),e13) = e11
& op1(op1(e13,e12),e13) = e12
& op1(op1(e13,e13),e13) = e13
& ( ( op1(e10,op1(e10,e10)) = op1(e10,e10)
& op1(e10,op1(e11,e10)) = op1(e11,e10)
& op1(e10,op1(e12,e10)) = op1(e12,e10)
& op1(e10,op1(e13,e10)) = op1(e13,e10) )
| ( op1(e11,op1(e10,e11)) = op1(e10,e11)
& op1(e11,op1(e11,e11)) = op1(e11,e11)
& op1(e11,op1(e12,e11)) = op1(e12,e11)
& op1(e11,op1(e13,e11)) = op1(e13,e11) )
| ( op1(e12,op1(e10,e12)) = op1(e10,e12)
& op1(e12,op1(e11,e12)) = op1(e11,e12)
& op1(e12,op1(e12,e12)) = op1(e12,e12)
& op1(e12,op1(e13,e12)) = op1(e13,e12) )
| ( op1(e13,op1(e10,e13)) = op1(e10,e13)
& op1(e13,op1(e11,e13)) = op1(e11,e13)
& op1(e13,op1(e12,e13)) = op1(e12,e13)
& op1(e13,op1(e13,e13)) = op1(e13,e13) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( op2(op2(e20,e20),e20) = e20
& op2(op2(e20,e21),e20) = e21
& op2(op2(e20,e22),e20) = e22
& op2(op2(e20,e23),e20) = e23
& op2(op2(e21,e20),e21) = e20
& op2(op2(e21,e21),e21) = e21
& op2(op2(e21,e22),e21) = e22
& op2(op2(e21,e23),e21) = e23
& op2(op2(e22,e20),e22) = e20
& op2(op2(e22,e21),e22) = e21
& op2(op2(e22,e22),e22) = e22
& op2(op2(e22,e23),e22) = e23
& op2(op2(e23,e20),e23) = e20
& op2(op2(e23,e21),e23) = e21
& op2(op2(e23,e22),e23) = e22
& op2(op2(e23,e23),e23) = e23
& ( ( op2(e20,op2(e20,e20)) = op2(e20,e20)
& op2(e20,op2(e21,e20)) = op2(e21,e20)
& op2(e20,op2(e22,e20)) = op2(e22,e20)
& op2(e20,op2(e23,e20)) = op2(e23,e20) )
| ( op2(e21,op2(e20,e21)) = op2(e20,e21)
& op2(e21,op2(e21,e21)) = op2(e21,e21)
& op2(e21,op2(e22,e21)) = op2(e22,e21)
& op2(e21,op2(e23,e21)) = op2(e23,e21) )
| ( op2(e22,op2(e20,e22)) = op2(e20,e22)
& op2(e22,op2(e21,e22)) = op2(e21,e22)
& op2(e22,op2(e22,e22)) = op2(e22,e22)
& op2(e22,op2(e23,e22)) = op2(e23,e22) )
| ( op2(e23,op2(e20,e23)) = op2(e20,e23)
& op2(e23,op2(e21,e23)) = op2(e21,e23)
& op2(e23,op2(e22,e23)) = op2(e22,e23)
& op2(e23,op2(e23,e23)) = op2(e23,e23) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e10 = op1(op1(e12,e11),op1(e12,e11))
& e13 = op1(e12,e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e20 = op2(op2(e22,e21),op2(e22,e21))
& e23 = op2(e22,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e11) = e20
& h1(e12) = e21
& h1(e10) = op2(op2(e21,e20),op2(e21,e20))
& h1(e13) = op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e11) = e20
& h2(e12) = e22
& h2(e10) = op2(op2(e22,e20),op2(e22,e20))
& h2(e13) = op2(e22,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e11) = e20
& h3(e12) = e23
& h3(e10) = op2(op2(e23,e20),op2(e23,e20))
& h3(e13) = op2(e23,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e11) = e21
& h4(e12) = e20
& h4(e10) = op2(op2(e20,e21),op2(e20,e21))
& h4(e13) = op2(e20,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f19,axiom,
( h6(e11) = e21
& h6(e12) = e23
& h6(e10) = op2(op2(e23,e21),op2(e23,e21))
& h6(e13) = op2(e23,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f20,axiom,
( h7(e11) = e22
& h7(e12) = e20
& h7(e10) = op2(op2(e20,e22),op2(e20,e22))
& h7(e13) = op2(e20,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f21,axiom,
( h8(e11) = e22
& h8(e12) = e21
& h8(e10) = op2(op2(e21,e22),op2(e21,e22))
& h8(e13) = op2(e21,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f22,axiom,
( h9(e11) = e22
& h9(e12) = e23
& h9(e10) = op2(op2(e23,e22),op2(e23,e22))
& h9(e13) = op2(e23,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f23,axiom,
( h10(e11) = e23
& h10(e12) = e20
& h10(e10) = op2(op2(e20,e23),op2(e20,e23))
& h10(e13) = op2(e20,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f24,axiom,
( h11(e11) = e23
& h11(e12) = e21
& h11(e10) = op2(op2(e21,e23),op2(e21,e23))
& h11(e13) = op2(e21,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
( h12(e11) = e23
& h12(e12) = e22
& h12(e10) = op2(op2(e22,e23),op2(e22,e23))
& h12(e13) = op2(e22,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f26,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(f27,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)],[f26]) ).
fof(f28,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,[],[f27]) ).
fof(f29,definition,
( ( op1(e13,op1(e10,e13)) = op1(e10,e13)
& op1(e13,op1(e11,e13)) = op1(e11,e13)
& op1(e13,op1(e12,e13)) = op1(e12,e13)
& op1(e13,op1(e13,e13)) = op1(e13,e13) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ( op1(e12,op1(e10,e12)) = op1(e10,e12)
& op1(e12,op1(e11,e12)) = op1(e11,e12)
& op1(e12,op1(e12,e12)) = op1(e12,e12)
& op1(e12,op1(e13,e12)) = op1(e13,e12) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ( op1(e11,op1(e10,e11)) = op1(e10,e11)
& op1(e11,op1(e11,e11)) = op1(e11,e11)
& op1(e11,op1(e12,e11)) = op1(e12,e11)
& op1(e11,op1(e13,e11)) = op1(e13,e11) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f32,plain,
( op1(op1(e10,e10),e10) = e10
& op1(op1(e10,e11),e10) = e11
& op1(op1(e10,e12),e10) = e12
& op1(op1(e10,e13),e10) = e13
& op1(op1(e11,e10),e11) = e10
& op1(op1(e11,e11),e11) = e11
& op1(op1(e11,e12),e11) = e12
& op1(op1(e11,e13),e11) = e13
& op1(op1(e12,e10),e12) = e10
& op1(op1(e12,e11),e12) = e11
& op1(op1(e12,e12),e12) = e12
& op1(op1(e12,e13),e12) = e13
& op1(op1(e13,e10),e13) = e10
& op1(op1(e13,e11),e13) = e11
& op1(op1(e13,e12),e13) = e12
& op1(op1(e13,e13),e13) = e13
& ( ( op1(e10,op1(e10,e10)) = op1(e10,e10)
& op1(e10,op1(e11,e10)) = op1(e11,e10)
& op1(e10,op1(e12,e10)) = op1(e12,e10)
& op1(e10,op1(e13,e10)) = op1(e13,e10) )
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f10,f31,f30,f29]) ).
fof(f33,definition,
( ( op2(e23,op2(e20,e23)) = op2(e20,e23)
& op2(e23,op2(e21,e23)) = op2(e21,e23)
& op2(e23,op2(e22,e23)) = op2(e22,e23)
& op2(e23,op2(e23,e23)) = op2(e23,e23) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ( op2(e22,op2(e20,e22)) = op2(e20,e22)
& op2(e22,op2(e21,e22)) = op2(e21,e22)
& op2(e22,op2(e22,e22)) = op2(e22,e22)
& op2(e22,op2(e23,e22)) = op2(e23,e22) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ( op2(e21,op2(e20,e21)) = op2(e20,e21)
& op2(e21,op2(e21,e21)) = op2(e21,e21)
& op2(e21,op2(e22,e21)) = op2(e22,e21)
& op2(e21,op2(e23,e21)) = op2(e23,e21) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f36,plain,
( op2(op2(e20,e20),e20) = e20
& op2(op2(e20,e21),e20) = e21
& op2(op2(e20,e22),e20) = e22
& op2(op2(e20,e23),e20) = e23
& op2(op2(e21,e20),e21) = e20
& op2(op2(e21,e21),e21) = e21
& op2(op2(e21,e22),e21) = e22
& op2(op2(e21,e23),e21) = e23
& op2(op2(e22,e20),e22) = e20
& op2(op2(e22,e21),e22) = e21
& op2(op2(e22,e22),e22) = e22
& op2(op2(e22,e23),e22) = e23
& op2(op2(e23,e20),e23) = e20
& op2(op2(e23,e21),e23) = e21
& op2(op2(e23,e22),e23) = e22
& op2(op2(e23,e23),e23) = e23
& ( ( op2(e20,op2(e20,e20)) = op2(e20,e20)
& op2(e20,op2(e21,e20)) = op2(e21,e20)
& op2(e20,op2(e22,e20)) = op2(e22,e20)
& op2(e20,op2(e23,e20)) = op2(e23,e20) )
| sP5
| sP4
| sP3 ) ),
inference(definition_folding,[],[f11,f35,f34,f33]) ).
fof(f37,definition,
( ( e23 != h12(e10)
& e23 != h12(e11)
& e23 != h12(e12)
& e23 != h12(e13) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ( e22 != h12(e10)
& e22 != h12(e11)
& e22 != h12(e12)
& e22 != h12(e13) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ( e21 != h12(e10)
& e21 != h12(e11)
& e21 != h12(e12)
& e21 != h12(e13) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ( e23 != h11(e10)
& e23 != h11(e11)
& e23 != h11(e12)
& e23 != h11(e13) )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ( e22 != h11(e10)
& e22 != h11(e11)
& e22 != h11(e12)
& e22 != h11(e13) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ( e21 != h11(e10)
& e21 != h11(e11)
& e21 != h11(e12)
& e21 != h11(e13) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ( e23 != h10(e10)
& e23 != h10(e11)
& e23 != h10(e12)
& e23 != h10(e13) )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ( e22 != h10(e10)
& e22 != h10(e11)
& e22 != h10(e12)
& e22 != h10(e13) )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ( e21 != h10(e10)
& e21 != h10(e11)
& e21 != h10(e12)
& e21 != h10(e13) )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ( e23 != h9(e10)
& e23 != h9(e11)
& e23 != h9(e12)
& e23 != h9(e13) )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ( e22 != h9(e10)
& e22 != h9(e11)
& e22 != h9(e12)
& e22 != h9(e13) )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ( e21 != h9(e10)
& e21 != h9(e11)
& e21 != h9(e12)
& e21 != h9(e13) )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f49,definition,
( ( e23 != h8(e10)
& e23 != h8(e11)
& e23 != h8(e12)
& e23 != h8(e13) )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f50,definition,
( ( e22 != h8(e10)
& e22 != h8(e11)
& e22 != h8(e12)
& e22 != h8(e13) )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f51,definition,
( ( e21 != h8(e10)
& e21 != h8(e11)
& e21 != h8(e12)
& e21 != h8(e13) )
| ~ sP20 ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f52,definition,
( ( e23 != h7(e10)
& e23 != h7(e11)
& e23 != h7(e12)
& e23 != h7(e13) )
| ~ sP21 ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f53,definition,
( ( e22 != h7(e10)
& e22 != h7(e11)
& e22 != h7(e12)
& e22 != h7(e13) )
| ~ sP22 ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f54,definition,
( ( e21 != h7(e10)
& e21 != h7(e11)
& e21 != h7(e12)
& e21 != h7(e13) )
| ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ( e23 != h6(e10)
& e23 != h6(e11)
& e23 != h6(e12)
& e23 != h6(e13) )
| ~ sP24 ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ( e22 != h6(e10)
& e22 != h6(e11)
& e22 != h6(e12)
& e22 != h6(e13) )
| ~ sP25 ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ( e21 != h6(e10)
& e21 != h6(e11)
& e21 != h6(e12)
& e21 != h6(e13) )
| ~ sP26 ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f58,definition,
( ( e23 != h5(e10)
& e23 != h5(e11)
& e23 != h5(e12)
& e23 != h5(e13) )
| ~ sP27 ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f59,definition,
( ( e22 != h5(e10)
& e22 != h5(e11)
& e22 != h5(e12)
& e22 != h5(e13) )
| ~ sP28 ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f60,definition,
( ( e21 != h5(e10)
& e21 != h5(e11)
& e21 != h5(e12)
& e21 != h5(e13) )
| ~ sP29 ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f61,definition,
( ( e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) )
| ~ sP30 ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f62,definition,
( ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| ~ sP31 ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f63,definition,
( ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13) )
| ~ sP32 ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f64,definition,
( ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) )
| ~ sP33 ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f65,definition,
( ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13) )
| ~ sP34 ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f66,definition,
( ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ~ sP35 ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f67,definition,
( ( e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13) )
| ~ sP36 ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f68,definition,
( ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e13) )
| ~ sP37 ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f69,definition,
( ( e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13) )
| ~ sP38 ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f70,definition,
( ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) )
| ~ sP39 ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f71,definition,
( ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| ~ sP40 ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f72,definition,
( ( e21 != h1(e10)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13) )
| ~ sP41 ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f73,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) )
| sP41
| sP40
| sP39 )
& ( 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) )
| sP38
| sP37
| sP36 )
& ( 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) )
| sP35
| sP34
| sP33 )
& ( 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) )
| sP32
| sP31
| sP30 )
& ( 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) )
| sP29
| sP28
| sP27 )
& ( 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) )
| sP26
| sP25
| sP24 )
& ( 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) )
| sP23
| sP22
| sP21 )
& ( 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) )
| sP20
| sP19
| sP18 )
& ( 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) )
| sP17
| sP16
| sP15 )
& ( 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) )
| sP14
| sP13
| sP12 )
& ( 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) )
| sP11
| sP10
| sP9 )
& ( 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) )
| sP8
| sP7
| sP6 ) ),
inference(definition_folding,[],[f28,f72,f71,f70,f69,f68,f67,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]) ).
fof(f74,plain,
( ( op1(e11,op1(e10,e11)) = op1(e10,e11)
& op1(e11,op1(e11,e11)) = op1(e11,e11)
& op1(e11,op1(e12,e11)) = op1(e12,e11)
& op1(e11,op1(e13,e11)) = op1(e13,e11) )
| ~ sP2 ),
inference(nnf_transformation,[],[f31]) ).
fof(f75,plain,
( ( op1(e12,op1(e10,e12)) = op1(e10,e12)
& op1(e12,op1(e11,e12)) = op1(e11,e12)
& op1(e12,op1(e12,e12)) = op1(e12,e12)
& op1(e12,op1(e13,e12)) = op1(e13,e12) )
| ~ sP1 ),
inference(nnf_transformation,[],[f30]) ).
fof(f76,plain,
( ( op1(e13,op1(e10,e13)) = op1(e10,e13)
& op1(e13,op1(e11,e13)) = op1(e11,e13)
& op1(e13,op1(e12,e13)) = op1(e12,e13)
& op1(e13,op1(e13,e13)) = op1(e13,e13) )
| ~ sP0 ),
inference(nnf_transformation,[],[f29]) ).
fof(f77,plain,
( ( op2(e21,op2(e20,e21)) = op2(e20,e21)
& op2(e21,op2(e21,e21)) = op2(e21,e21)
& op2(e21,op2(e22,e21)) = op2(e22,e21)
& op2(e21,op2(e23,e21)) = op2(e23,e21) )
| ~ sP5 ),
inference(nnf_transformation,[],[f35]) ).
fof(f78,plain,
( ( op2(e22,op2(e20,e22)) = op2(e20,e22)
& op2(e22,op2(e21,e22)) = op2(e21,e22)
& op2(e22,op2(e22,e22)) = op2(e22,e22)
& op2(e22,op2(e23,e22)) = op2(e23,e22) )
| ~ sP4 ),
inference(nnf_transformation,[],[f34]) ).
fof(f79,plain,
( ( op2(e23,op2(e20,e23)) = op2(e20,e23)
& op2(e23,op2(e21,e23)) = op2(e21,e23)
& op2(e23,op2(e22,e23)) = op2(e22,e23)
& op2(e23,op2(e23,e23)) = op2(e23,e23) )
| ~ sP3 ),
inference(nnf_transformation,[],[f33]) ).
fof(f104,plain,
( ( e21 != h9(e10)
& e21 != h9(e11)
& e21 != h9(e12)
& e21 != h9(e13) )
| ~ sP17 ),
inference(nnf_transformation,[],[f48]) ).
fof(f105,plain,
( ( e22 != h9(e10)
& e22 != h9(e11)
& e22 != h9(e12)
& e22 != h9(e13) )
| ~ sP16 ),
inference(nnf_transformation,[],[f47]) ).
fof(f106,plain,
( ( e23 != h9(e10)
& e23 != h9(e11)
& e23 != h9(e12)
& e23 != h9(e13) )
| ~ sP15 ),
inference(nnf_transformation,[],[f46]) ).
fof(f118,plain,
( e10 = op1(e13,e11)
| e11 = op1(e13,e11)
| e12 = op1(e13,e11)
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f121,plain,
( e10 = op1(e12,e12)
| e11 = op1(e12,e12)
| e12 = op1(e12,e12)
| e13 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f123,plain,
( e10 = op1(e12,e10)
| e11 = op1(e12,e10)
| e12 = op1(e12,e10)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f126,plain,
( e10 = op1(e11,e11)
| e11 = op1(e11,e11)
| e12 = op1(e11,e11)
| e13 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f127,plain,
( e10 = op1(e11,e10)
| e11 = op1(e11,e10)
| e12 = op1(e11,e10)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f131,plain,
( e10 = op1(e10,e10)
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f1]) ).
fof(f166,plain,
( e20 = op2(e23,e21)
| e21 = op2(e23,e21)
| e22 = op2(e23,e21)
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f169,plain,
( e20 = op2(e22,e22)
| e21 = op2(e22,e22)
| e22 = op2(e22,e22)
| e23 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f171,plain,
( e20 = op2(e22,e20)
| e21 = op2(e22,e20)
| e22 = op2(e22,e20)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f174,plain,
( e20 = op2(e21,e21)
| e21 = op2(e21,e21)
| e22 = op2(e21,e21)
| e23 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f175,plain,
( e20 = op2(e21,e20)
| e21 = op2(e21,e20)
| e22 = op2(e21,e20)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f179,plain,
( e20 = op2(e20,e20)
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f3]) ).
fof(f213,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f214,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f215,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f217,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f221,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f225,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f227,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f233,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f234,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f235,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f242,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f250,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f254,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f255,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f258,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f261,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f262,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f268,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f269,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f270,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f271,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f273,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f275,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f276,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f277,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f281,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f290,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f296,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f298,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f306,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f307,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f308,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f309,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f310,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f312,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f313,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f314,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f315,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f317,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f318,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f319,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f337,plain,
( op1(e12,e11) = op1(e11,op1(e12,e11))
| ~ sP2 ),
inference(cnf_transformation,[],[f74]) ).
fof(f340,plain,
( op1(e13,e12) = op1(e12,op1(e13,e12))
| ~ sP1 ),
inference(cnf_transformation,[],[f75]) ).
fof(f344,plain,
( op1(e13,e13) = op1(e13,op1(e13,e13))
| ~ sP0 ),
inference(cnf_transformation,[],[f76]) ).
fof(f351,plain,
( op1(e10,e10) = op1(e10,op1(e10,e10))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f32]) ).
fof(f352,plain,
e13 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[],[f32]) ).
fof(f353,plain,
e12 = op1(op1(e13,e12),e13),
inference(cnf_transformation,[],[f32]) ).
fof(f354,plain,
e11 = op1(op1(e13,e11),e13),
inference(cnf_transformation,[],[f32]) ).
fof(f356,plain,
e13 = op1(op1(e12,e13),e12),
inference(cnf_transformation,[],[f32]) ).
fof(f357,plain,
e12 = op1(op1(e12,e12),e12),
inference(cnf_transformation,[],[f32]) ).
fof(f358,plain,
e11 = op1(op1(e12,e11),e12),
inference(cnf_transformation,[],[f32]) ).
fof(f359,plain,
e10 = op1(op1(e12,e10),e12),
inference(cnf_transformation,[],[f32]) ).
fof(f362,plain,
e11 = op1(op1(e11,e11),e11),
inference(cnf_transformation,[],[f32]) ).
fof(f363,plain,
e10 = op1(op1(e11,e10),e11),
inference(cnf_transformation,[],[f32]) ).
fof(f364,plain,
e13 = op1(op1(e10,e13),e10),
inference(cnf_transformation,[],[f32]) ).
fof(f368,plain,
( op2(e23,e21) = op2(e21,op2(e23,e21))
| ~ sP5 ),
inference(cnf_transformation,[],[f77]) ).
fof(f372,plain,
( op2(e23,e22) = op2(e22,op2(e23,e22))
| ~ sP4 ),
inference(cnf_transformation,[],[f78]) ).
fof(f376,plain,
( op2(e23,e23) = op2(e23,op2(e23,e23))
| ~ sP3 ),
inference(cnf_transformation,[],[f79]) ).
fof(f381,plain,
( op2(e22,e20) = op2(e20,op2(e22,e20))
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f382,plain,
( op2(e21,e20) = op2(e20,op2(e21,e20))
| sP5
| sP4
| sP3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f384,plain,
e23 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[],[f36]) ).
fof(f385,plain,
e22 = op2(op2(e23,e22),e23),
inference(cnf_transformation,[],[f36]) ).
fof(f386,plain,
e21 = op2(op2(e23,e21),e23),
inference(cnf_transformation,[],[f36]) ).
fof(f388,plain,
e23 = op2(op2(e22,e23),e22),
inference(cnf_transformation,[],[f36]) ).
fof(f389,plain,
e22 = op2(op2(e22,e22),e22),
inference(cnf_transformation,[],[f36]) ).
fof(f390,plain,
e21 = op2(op2(e22,e21),e22),
inference(cnf_transformation,[],[f36]) ).
fof(f391,plain,
e20 = op2(op2(e22,e20),e22),
inference(cnf_transformation,[],[f36]) ).
fof(f393,plain,
e22 = op2(op2(e21,e22),e21),
inference(cnf_transformation,[],[f36]) ).
fof(f394,plain,
e21 = op2(op2(e21,e21),e21),
inference(cnf_transformation,[],[f36]) ).
fof(f396,plain,
e23 = op2(op2(e20,e23),e20),
inference(cnf_transformation,[],[f36]) ).
fof(f397,plain,
e22 = op2(op2(e20,e22),e20),
inference(cnf_transformation,[],[f36]) ).
fof(f398,plain,
e21 = op2(op2(e20,e21),e20),
inference(cnf_transformation,[],[f36]) ).
fof(f399,plain,
e20 = op2(op2(e20,e20),e20),
inference(cnf_transformation,[],[f36]) ).
fof(f400,plain,
e13 = op1(e12,e11),
inference(cnf_transformation,[],[f12]) ).
fof(f401,plain,
e10 = op1(op1(e12,e11),op1(e12,e11)),
inference(cnf_transformation,[],[f12]) ).
fof(f402,plain,
e23 = op2(e22,e21),
inference(cnf_transformation,[],[f13]) ).
fof(f403,plain,
e20 = op2(op2(e22,e21),op2(e22,e21)),
inference(cnf_transformation,[],[f13]) ).
fof(f404,plain,
op2(e21,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f408,plain,
op2(e22,e20) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f412,plain,
op2(e23,e20) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f413,plain,
h3(e10) = op2(op2(e23,e20),op2(e23,e20)),
inference(cnf_transformation,[],[f16]) ).
fof(f416,plain,
op2(e20,e21) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f424,plain,
op2(e23,e21) = h6(e13),
inference(cnf_transformation,[],[f19]) ).
fof(f428,plain,
op2(e20,e22) = h7(e13),
inference(cnf_transformation,[],[f20]) ).
fof(f432,plain,
op2(e21,e22) = h8(e13),
inference(cnf_transformation,[],[f21]) ).
fof(f433,plain,
h8(e10) = op2(op2(e21,e22),op2(e21,e22)),
inference(cnf_transformation,[],[f21]) ).
fof(f436,plain,
op2(e23,e22) = h9(e13),
inference(cnf_transformation,[],[f22]) ).
fof(f437,plain,
h9(e10) = op2(op2(e23,e22),op2(e23,e22)),
inference(cnf_transformation,[],[f22]) ).
fof(f438,plain,
e23 = h9(e12),
inference(cnf_transformation,[],[f22]) ).
fof(f439,plain,
e22 = h9(e11),
inference(cnf_transformation,[],[f22]) ).
fof(f440,plain,
op2(e20,e23) = h10(e13),
inference(cnf_transformation,[],[f23]) ).
fof(f441,plain,
h10(e10) = op2(op2(e20,e23),op2(e20,e23)),
inference(cnf_transformation,[],[f23]) ).
fof(f442,plain,
e20 = h10(e12),
inference(cnf_transformation,[],[f23]) ).
fof(f444,plain,
op2(e21,e23) = h11(e13),
inference(cnf_transformation,[],[f24]) ).
fof(f445,plain,
h11(e10) = op2(op2(e21,e23),op2(e21,e23)),
inference(cnf_transformation,[],[f24]) ).
fof(f446,plain,
e21 = h11(e12),
inference(cnf_transformation,[],[f24]) ).
fof(f447,plain,
e23 = h11(e11),
inference(cnf_transformation,[],[f24]) ).
fof(f448,plain,
op2(e22,e23) = h12(e13),
inference(cnf_transformation,[],[f25]) ).
fof(f449,plain,
h12(e10) = op2(op2(e22,e23),op2(e22,e23)),
inference(cnf_transformation,[],[f25]) ).
fof(f548,plain,
( e21 != h9(e13)
| ~ sP17 ),
inference(cnf_transformation,[],[f104]) ).
fof(f554,plain,
( e22 != h9(e11)
| ~ sP16 ),
inference(cnf_transformation,[],[f105]) ).
fof(f557,plain,
( e23 != h9(e12)
| ~ sP15 ),
inference(cnf_transformation,[],[f106]) ).
fof(f611,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)
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f73]) ).
fof(f644,plain,
e23 = op2(e22,e21),
inference(global_subsumption,[],[f402]) ).
fof(f647,plain,
e13 = op1(e12,e11),
inference(global_subsumption,[],[f400]) ).
fof(f656,definition,
( spl42_2
<=> e22 = h1(e13) ),
introduced(definition,[new_symbols(definition,[spl42_2])],[avatar_definition]) ).
fof(f658,plain,
( e22 != h1(e13)
| spl42_2 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f674,definition,
( spl42_6
<=> e21 = h2(e13) ),
introduced(definition,[new_symbols(definition,[spl42_6])],[avatar_definition]) ).
fof(f676,plain,
( e21 != h2(e13)
| spl42_6 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f743,definition,
( spl42_20
<=> e22 = h6(e13) ),
introduced(definition,[new_symbols(definition,[spl42_20])],[avatar_definition]) ).
fof(f744,plain,
( e22 = h6(e13)
| ~ spl42_20 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f745,plain,
( e22 != h6(e13)
| spl42_20 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f774,definition,
( spl42_26
<=> e23 = h8(e13) ),
introduced(definition,[new_symbols(definition,[spl42_26])],[avatar_definition]) ).
fof(f775,plain,
( e23 = h8(e13)
| ~ spl42_26 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f776,plain,
( e23 != h8(e13)
| spl42_26 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f779,definition,
( spl42_27
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl42_27])],[avatar_definition]) ).
fof(f781,plain,
( ~ sP17
| spl42_27 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f783,definition,
( spl42_28
<=> e21 = h9(e13) ),
introduced(definition,[new_symbols(definition,[spl42_28])],[avatar_definition]) ).
fof(f784,plain,
( e21 = h9(e13)
| ~ spl42_28 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f786,plain,
( ~ spl42_27
| ~ spl42_28 ),
inference(avatar_split_clause,[],[f548,f783,f779]) ).
fof(f787,plain,
~ sP16,
inference(global_subsumption,[],[f439,f554]) ).
fof(f788,plain,
~ sP15,
inference(global_subsumption,[],[f438,f557]) ).
fof(f814,definition,
( spl42_34
<=> e22 = h11(e13) ),
introduced(definition,[new_symbols(definition,[spl42_34])],[avatar_definition]) ).
fof(f815,plain,
( e22 = h11(e13)
| ~ spl42_34 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f816,plain,
( e22 != h11(e13)
| spl42_34 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f824,definition,
( spl42_36
<=> e21 = h12(e13) ),
introduced(definition,[new_symbols(definition,[spl42_36])],[avatar_definition]) ).
fof(f825,plain,
( e21 = h12(e13)
| ~ spl42_36 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f826,plain,
( e21 != h12(e13)
| spl42_36 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f831,plain,
e23 != op2(e22,e22),
inference(forward_demodulation,[],[f268,f644]) ).
fof(f832,plain,
e23 != op2(e22,e20),
inference(forward_demodulation,[],[f271,f644]) ).
fof(f833,plain,
e23 != op2(e23,e21),
inference(forward_demodulation,[],[f296,f644]) ).
fof(f834,plain,
e23 != op2(e21,e21),
inference(forward_demodulation,[],[f298,f644]) ).
fof(f836,plain,
e13 != op1(e11,e11),
inference(superposition,[],[f250,f647]) ).
fof(f928,definition,
( spl42_56
<=> h11(op1(e13,e13)) = op2(h11(e13),h11(e13)) ),
introduced(definition,[new_symbols(definition,[spl42_56])],[avatar_definition]) ).
fof(f929,plain,
( h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
| ~ spl42_56 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f930,plain,
( h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| spl42_56 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f936,definition,
( spl42_58
<=> h11(op1(e13,e11)) = op2(h11(e13),h11(e11)) ),
introduced(definition,[new_symbols(definition,[spl42_58])],[avatar_definition]) ).
fof(f937,plain,
( h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
| ~ spl42_58 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f938,plain,
( h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| spl42_58 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f1025,definition,
( spl42_74
<=> h10(op1(e13,e13)) = op2(h10(e13),h10(e13)) ),
introduced(definition,[new_symbols(definition,[spl42_74])],[avatar_definition]) ).
fof(f1026,plain,
( h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
| ~ spl42_74 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1027,plain,
( h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| spl42_74 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1037,definition,
( spl42_77
<=> h10(op1(e10,e10)) = op2(h10(e10),h10(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_77])],[avatar_definition]) ).
fof(f1038,plain,
( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
| ~ spl42_77 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f1039,plain,
( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| spl42_77 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f1045,definition,
( spl42_79
<=> h10(op1(e10,e12)) = op2(h10(e10),e20) ),
introduced(definition,[new_symbols(definition,[spl42_79])],[avatar_definition]) ).
fof(f1046,plain,
( h10(op1(e10,e12)) = op2(h10(e10),e20)
| ~ spl42_79 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f1047,plain,
( h10(op1(e10,e12)) != op2(h10(e10),e20)
| spl42_79 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f1130,definition,
( spl42_90
<=> h9(op1(e13,e13)) = op2(h9(e13),h9(e13)) ),
introduced(definition,[new_symbols(definition,[spl42_90])],[avatar_definition]) ).
fof(f1131,plain,
( h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
| ~ spl42_90 ),
inference(avatar_component_clause,[],[f1130]) ).
fof(f1132,plain,
( h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| spl42_90 ),
inference(avatar_component_clause,[],[f1130]) ).
fof(f1134,definition,
( spl42_91
<=> h9(op1(e13,e10)) = op2(h9(e13),h9(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_91])],[avatar_definition]) ).
fof(f1136,plain,
( h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| spl42_91 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f1138,definition,
( spl42_92
<=> h9(op1(e10,e13)) = op2(h9(e10),h9(e13)) ),
introduced(definition,[new_symbols(definition,[spl42_92])],[avatar_definition]) ).
fof(f1140,plain,
( h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| spl42_92 ),
inference(avatar_component_clause,[],[f1138]) ).
fof(f1142,definition,
( spl42_93
<=> h9(op1(e10,e10)) = op2(h9(e10),h9(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_93])],[avatar_definition]) ).
fof(f1144,plain,
( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| spl42_93 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f1146,definition,
( spl42_94
<=> h9(op1(e10,e11)) = op2(h9(e10),e22) ),
introduced(definition,[new_symbols(definition,[spl42_94])],[avatar_definition]) ).
fof(f1148,plain,
( h9(op1(e10,e11)) != op2(h9(e10),e22)
| spl42_94 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f1150,definition,
( spl42_95
<=> h9(op1(e10,e12)) = op2(h9(e10),e23) ),
introduced(definition,[new_symbols(definition,[spl42_95])],[avatar_definition]) ).
fof(f1152,plain,
( h9(op1(e10,e12)) != op2(h9(e10),e23)
| spl42_95 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f1154,definition,
( spl42_96
<=> h9(op1(e11,e10)) = op2(e22,h9(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_96])],[avatar_definition]) ).
fof(f1156,plain,
( h9(op1(e11,e10)) != op2(e22,h9(e10))
| spl42_96 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f1158,definition,
( spl42_97
<=> op2(e22,e22) = h9(op1(e11,e11)) ),
introduced(definition,[new_symbols(definition,[spl42_97])],[avatar_definition]) ).
fof(f1160,plain,
( op2(e22,e22) != h9(op1(e11,e11))
| spl42_97 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f1162,definition,
( spl42_98
<=> op2(e22,e23) = h9(op1(e11,e12)) ),
introduced(definition,[new_symbols(definition,[spl42_98])],[avatar_definition]) ).
fof(f1164,plain,
( op2(e22,e23) != h9(op1(e11,e12))
| spl42_98 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1166,definition,
( spl42_99
<=> h9(op1(e11,e13)) = op2(e22,h9(e13)) ),
introduced(definition,[new_symbols(definition,[spl42_99])],[avatar_definition]) ).
fof(f1168,plain,
( h9(op1(e11,e13)) != op2(e22,h9(e13))
| spl42_99 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f1170,definition,
( spl42_100
<=> h9(op1(e12,e10)) = op2(e23,h9(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_100])],[avatar_definition]) ).
fof(f1172,plain,
( h9(op1(e12,e10)) != op2(e23,h9(e10))
| spl42_100 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f1174,definition,
( spl42_101
<=> op2(e23,e23) = h9(op1(e12,e12)) ),
introduced(definition,[new_symbols(definition,[spl42_101])],[avatar_definition]) ).
fof(f1176,plain,
( op2(e23,e23) != h9(op1(e12,e12))
| spl42_101 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f1178,definition,
( spl42_102
<=> h9(op1(e12,e13)) = op2(e23,h9(e13)) ),
introduced(definition,[new_symbols(definition,[spl42_102])],[avatar_definition]) ).
fof(f1180,plain,
( h9(op1(e12,e13)) != op2(e23,h9(e13))
| spl42_102 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f1182,definition,
( spl42_103
<=> h9(op1(e13,e11)) = op2(h9(e13),e22) ),
introduced(definition,[new_symbols(definition,[spl42_103])],[avatar_definition]) ).
fof(f1184,plain,
( h9(op1(e13,e11)) != op2(h9(e13),e22)
| spl42_103 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f1186,definition,
( spl42_104
<=> h9(op1(e13,e12)) = op2(h9(e13),e23) ),
introduced(definition,[new_symbols(definition,[spl42_104])],[avatar_definition]) ).
fof(f1188,plain,
( h9(op1(e13,e12)) != op2(h9(e13),e23)
| spl42_104 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1228,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)
| sP16
| sP15
| spl42_27 ),
inference(forward_subsumption_resolution,[],[f611,f781]) ).
fof(f1229,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)
| sP15
| spl42_27 ),
inference(forward_subsumption_resolution,[],[f1228,f787]) ).
fof(f1230,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)
| spl42_27 ),
inference(forward_subsumption_resolution,[],[f1229,f788]) ).
fof(f1231,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)
| spl42_27 ),
inference(forward_demodulation,[],[f1230,f439]) ).
fof(f1232,plain,
( h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| 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)
| spl42_27 ),
inference(forward_demodulation,[],[f1231,f438]) ).
fof(f1233,plain,
( h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| 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)
| spl42_27 ),
inference(forward_demodulation,[],[f1232,f439]) ).
fof(f1234,plain,
( op2(e22,e22) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| 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)
| spl42_27 ),
inference(forward_demodulation,[],[f1233,f439]) ).
fof(f1235,plain,
( h9(op1(e11,e12)) != op2(h9(e11),e23)
| op2(e22,e22) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| 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)
| spl42_27 ),
inference(forward_demodulation,[],[f1234,f438]) ).
fof(f1236,plain,
( op2(e22,e23) != h9(op1(e11,e12))
| op2(e22,e22) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| 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)
| spl42_27 ),
inference(forward_demodulation,[],[f1235,f439]) ).
fof(f1237,plain,
( h9(op1(e11,e13)) != op2(e22,h9(e13))
| op2(e22,e23) != h9(op1(e11,e12))
| op2(e22,e22) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),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)
| spl42_27 ),
inference(forward_demodulation,[],[f1236,f439]) ).
fof(f1238,plain,
( h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e13)) != op2(e22,h9(e13))
| op2(e22,e23) != h9(op1(e11,e12))
| op2(e22,e22) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| 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)
| spl42_27 ),
inference(forward_demodulation,[],[f1237,f438]) ).
fof(f1239,plain,
( h9(op1(e12,e11)) != op2(h9(e12),e22)
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e13)) != op2(e22,h9(e13))
| op2(e22,e23) != h9(op1(e11,e12))
| op2(e22,e22) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| 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)
| spl42_27 ),
inference(forward_demodulation,[],[f1238,f439]) ).
fof(f1240,plain,
( op2(e23,e22) != h9(op1(e12,e11))
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e13)) != op2(e22,h9(e13))
| op2(e22,e23) != h9(op1(e11,e12))
| op2(e22,e22) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| 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)
| spl42_27 ),
inference(forward_demodulation,[],[f1239,f438]) ).
fof(f1241,plain,
( op2(e23,e22) != h9(e13)
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e13)) != op2(e22,h9(e13))
| op2(e22,e23) != h9(op1(e11,e12))
| op2(e22,e22) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| 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)
| spl42_27 ),
inference(forward_demodulation,[],[f1240,f647]) ).
fof(f1242,plain,
( op2(e23,e23) != h9(op1(e12,e12))
| op2(e23,e22) != h9(e13)
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e13)) != op2(e22,h9(e13))
| op2(e22,e23) != h9(op1(e11,e12))
| op2(e22,e22) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| 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)
| spl42_27 ),
inference(forward_demodulation,[],[f1241,f438]) ).
fof(f1243,plain,
( h9(op1(e12,e13)) != op2(e23,h9(e13))
| op2(e23,e23) != h9(op1(e12,e12))
| op2(e23,e22) != h9(e13)
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e13)) != op2(e22,h9(e13))
| op2(e22,e23) != h9(op1(e11,e12))
| op2(e22,e22) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),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)
| spl42_27 ),
inference(forward_demodulation,[],[f1242,f438]) ).
fof(f1244,plain,
( h9(op1(e13,e11)) != op2(h9(e13),e22)
| h9(op1(e12,e13)) != op2(e23,h9(e13))
| op2(e23,e23) != h9(op1(e12,e12))
| op2(e23,e22) != h9(e13)
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e13)) != op2(e22,h9(e13))
| op2(e22,e23) != h9(op1(e11,e12))
| op2(e22,e22) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| spl42_27 ),
inference(forward_demodulation,[],[f1243,f439]) ).
fof(f1245,plain,
( h9(op1(e13,e12)) != op2(h9(e13),e23)
| h9(op1(e13,e11)) != op2(h9(e13),e22)
| h9(op1(e12,e13)) != op2(e23,h9(e13))
| op2(e23,e23) != h9(op1(e12,e12))
| op2(e23,e22) != h9(e13)
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e13)) != op2(e22,h9(e13))
| op2(e22,e23) != h9(op1(e11,e12))
| op2(e22,e22) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| spl42_27 ),
inference(forward_demodulation,[],[f1244,f438]) ).
fof(f1246,plain,
( h9(op1(e13,e12)) != op2(h9(e13),e23)
| h9(op1(e13,e11)) != op2(h9(e13),e22)
| h9(op1(e12,e13)) != op2(e23,h9(e13))
| op2(e23,e23) != h9(op1(e12,e12))
| h9(op1(e12,e10)) != op2(e23,h9(e10))
| h9(op1(e11,e13)) != op2(e22,h9(e13))
| op2(e22,e23) != h9(op1(e11,e12))
| op2(e22,e22) != h9(op1(e11,e11))
| h9(op1(e11,e10)) != op2(e22,h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),e23)
| h9(op1(e10,e11)) != op2(h9(e10),e22)
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| e20 != h9(e10)
| spl42_27 ),
inference(global_subsumption,[],[f1245,f436]) ).
fof(f1248,definition,
( spl42_105
<=> e20 = h9(e10) ),
introduced(definition,[new_symbols(definition,[spl42_105])],[avatar_definition]) ).
fof(f1249,plain,
( e20 = h9(e10)
| ~ spl42_105 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f1251,plain,
( ~ spl42_105
| ~ spl42_90
| ~ spl42_91
| ~ spl42_92
| ~ spl42_93
| ~ spl42_94
| ~ spl42_95
| ~ spl42_96
| ~ spl42_97
| ~ spl42_98
| ~ spl42_99
| ~ spl42_100
| ~ spl42_101
| ~ spl42_102
| ~ spl42_103
| ~ spl42_104
| spl42_27 ),
inference(avatar_split_clause,[],[f1246,f779,f1186,f1182,f1178,f1174,f1170,f1166,f1162,f1158,f1154,f1150,f1146,f1142,f1138,f1134,f1130,f1248]) ).
fof(f1256,plain,
op2(e22,e22) != h2(e13),
inference(superposition,[],[f270,f408]) ).
fof(f1296,definition,
( spl42_110
<=> h8(op1(e10,e10)) = op2(h8(e10),h8(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_110])],[avatar_definition]) ).
fof(f1297,plain,
( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
| ~ spl42_110 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1298,plain,
( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| spl42_110 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1417,definition,
( spl42_122
<=> e20 = h8(e10) ),
introduced(definition,[new_symbols(definition,[spl42_122])],[avatar_definition]) ).
fof(f1418,plain,
( e20 = h8(e10)
| ~ spl42_122 ),
inference(avatar_component_clause,[],[f1417]) ).
fof(f1786,plain,
e11 = op1(e13,e12),
inference(forward_demodulation,[],[f358,f647]) ).
fof(f1787,plain,
e12 = op1(e11,e13),
inference(superposition,[],[f353,f1786]) ).
fof(f1790,plain,
e11 != op1(e12,e12),
inference(superposition,[],[f242,f1786]) ).
fof(f1791,plain,
e11 != op1(e13,e11),
inference(superposition,[],[f214,f1786]) ).
fof(f1792,plain,
e12 != op1(e11,e10),
inference(superposition,[],[f227,f1787]) ).
fof(f1793,plain,
e12 != op1(e11,e11),
inference(superposition,[],[f225,f1787]) ).
fof(f2011,definition,
( spl42_185
<=> e21 = op2(h4(e13),e20) ),
introduced(definition,[new_symbols(definition,[spl42_185])],[avatar_definition]) ).
fof(f2012,plain,
( e21 = op2(h4(e13),e20)
| ~ spl42_185 ),
inference(avatar_component_clause,[],[f2011]) ).
fof(f2066,definition,
( spl42_186
<=> e20 = h3(e13) ),
introduced(definition,[new_symbols(definition,[spl42_186])],[avatar_definition]) ).
fof(f2067,plain,
( e20 = h3(e13)
| ~ spl42_186 ),
inference(avatar_component_clause,[],[f2066]) ).
fof(f2068,plain,
( e20 != h3(e13)
| spl42_186 ),
inference(avatar_component_clause,[],[f2066]) ).
fof(f2070,definition,
( spl42_187
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[spl42_187])],[avatar_definition]) ).
fof(f2071,plain,
( h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
| ~ spl42_187 ),
inference(avatar_component_clause,[],[f2070]) ).
fof(f2072,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl42_187 ),
inference(avatar_component_clause,[],[f2070]) ).
fof(f2082,definition,
( spl42_190
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_190])],[avatar_definition]) ).
fof(f2083,plain,
( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
| ~ spl42_190 ),
inference(avatar_component_clause,[],[f2082]) ).
fof(f2084,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl42_190 ),
inference(avatar_component_clause,[],[f2082]) ).
fof(f2206,definition,
( spl42_202
<=> e20 = h2(e13) ),
introduced(definition,[new_symbols(definition,[spl42_202])],[avatar_definition]) ).
fof(f2207,plain,
( e20 = h2(e13)
| ~ spl42_202 ),
inference(avatar_component_clause,[],[f2206]) ).
fof(f2208,plain,
( e20 != h2(e13)
| spl42_202 ),
inference(avatar_component_clause,[],[f2206]) ).
fof(f2266,definition,
( spl42_217
<=> e20 = op2(h2(e13),e22) ),
introduced(definition,[new_symbols(definition,[spl42_217])],[avatar_definition]) ).
fof(f2267,plain,
( e20 = op2(h2(e13),e22)
| ~ spl42_217 ),
inference(avatar_component_clause,[],[f2266]) ).
fof(f2295,plain,
e22 = op2(h9(e13),e23),
inference(forward_demodulation,[],[f385,f436]) ).
fof(f2347,definition,
( spl42_218
<=> e20 = h1(e13) ),
introduced(definition,[new_symbols(definition,[spl42_218])],[avatar_definition]) ).
fof(f2348,plain,
( e20 = h1(e13)
| ~ spl42_218 ),
inference(avatar_component_clause,[],[f2347]) ).
fof(f2349,plain,
( e20 != h1(e13)
| spl42_218 ),
inference(avatar_component_clause,[],[f2347]) ).
fof(f2436,plain,
e21 = op2(h6(e13),e23),
inference(forward_demodulation,[],[f386,f424]) ).
fof(f2465,plain,
e23 = op2(h12(e13),e22),
inference(forward_demodulation,[],[f388,f448]) ).
fof(f2466,plain,
e21 = op2(e23,e22),
inference(forward_demodulation,[],[f390,f644]) ).
fof(f2467,plain,
e21 = h9(e13),
inference(superposition,[],[f2466,f436]) ).
fof(f2468,plain,
e21 != op2(e23,e21),
inference(superposition,[],[f262,f2466]) ).
fof(f2469,plain,
e21 != op2(e22,e22),
inference(superposition,[],[f290,f2466]) ).
fof(f2478,plain,
e21 != h6(e13),
inference(forward_demodulation,[],[f2468,f424]) ).
fof(f2483,plain,
spl42_28,
inference(avatar_split_clause,[],[f2467,f783]) ).
fof(f2485,plain,
( op2(e21,e21) != h9(op1(e13,e13))
| ~ spl42_28
| spl42_90 ),
inference(superposition,[],[f1132,f784]) ).
fof(f2490,plain,
( e22 = op2(e21,e23)
| ~ spl42_28 ),
inference(superposition,[],[f2295,f784]) ).
fof(f2491,plain,
( e22 = h11(e13)
| ~ spl42_28 ),
inference(superposition,[],[f2490,f444]) ).
fof(f2494,plain,
( e22 != op2(e21,e20)
| ~ spl42_28 ),
inference(superposition,[],[f275,f2490]) ).
fof(f2495,plain,
( e22 != op2(e21,e21)
| ~ spl42_28 ),
inference(superposition,[],[f273,f2490]) ).
fof(f2498,plain,
( e22 != h1(e13)
| ~ spl42_28 ),
inference(forward_demodulation,[],[f2494,f404]) ).
fof(f2501,plain,
( $false
| ~ spl42_28
| spl42_34 ),
inference(forward_subsumption_resolution,[],[f2491,f816]) ).
fof(f2502,plain,
( ~ spl42_28
| spl42_34 ),
inference(avatar_contradiction_clause,[],[f2501]) ).
fof(f2504,plain,
( ~ spl42_2
| ~ spl42_28 ),
inference(avatar_split_clause,[],[f2498,f783,f656]) ).
fof(f2508,plain,
( op2(e22,e22) != h11(op1(e13,e13))
| ~ spl42_34
| spl42_56 ),
inference(superposition,[],[f930,f815]) ).
fof(f2510,plain,
e20 = op2(h2(e13),e22),
inference(forward_demodulation,[],[f391,f408]) ).
fof(f2511,plain,
spl42_217,
inference(avatar_split_clause,[],[f2510,f2266]) ).
fof(f2514,plain,
e22 = op2(h8(e13),e21),
inference(forward_demodulation,[],[f393,f432]) ).
fof(f2517,plain,
e23 = op2(h10(e13),e20),
inference(forward_demodulation,[],[f396,f440]) ).
fof(f2518,plain,
e22 = op2(h7(e13),e20),
inference(forward_demodulation,[],[f397,f428]) ).
fof(f2519,plain,
e21 = op2(h4(e13),e20),
inference(forward_demodulation,[],[f398,f416]) ).
fof(f2520,plain,
spl42_185,
inference(avatar_split_clause,[],[f2519,f2011]) ).
fof(f2521,plain,
e10 = op1(e13,e13),
inference(forward_demodulation,[],[f401,f647]) ).
fof(f2523,plain,
e10 != op1(e13,e11),
inference(superposition,[],[f213,f2521]) ).
fof(f2524,plain,
e10 != op1(e13,e10),
inference(superposition,[],[f215,f2521]) ).
fof(f2528,plain,
e13 = op1(e10,e13),
inference(superposition,[],[f352,f2521]) ).
fof(f2529,plain,
( op2(e21,e21) != h9(e10)
| ~ spl42_28
| spl42_90 ),
inference(superposition,[],[f2485,f2521]) ).
fof(f2530,plain,
( op2(e22,e22) != h11(e10)
| ~ spl42_34
| spl42_56 ),
inference(superposition,[],[f2508,f2521]) ).
fof(f2535,plain,
op1(e10,e10) != e13,
inference(superposition,[],[f233,f2528]) ).
fof(f2538,plain,
e13 = op1(e13,e10),
inference(superposition,[],[f364,f2528]) ).
fof(f2542,plain,
e13 != op1(e13,e11),
inference(superposition,[],[f217,f2538]) ).
fof(f2543,plain,
e13 != op1(e12,e10),
inference(superposition,[],[f254,f2538]) ).
fof(f2544,plain,
e13 != op1(e11,e10),
inference(superposition,[],[f255,f2538]) ).
fof(f2549,plain,
e20 = op2(e23,e23),
inference(forward_demodulation,[],[f403,f644]) ).
fof(f2551,plain,
e20 != op2(e23,e21),
inference(superposition,[],[f261,f2549]) ).
fof(f2556,plain,
e23 = op2(e20,e23),
inference(superposition,[],[f384,f2549]) ).
fof(f2561,plain,
e20 != h6(e13),
inference(forward_demodulation,[],[f2551,f424]) ).
fof(f2563,plain,
e23 = h10(e13),
inference(superposition,[],[f2556,f440]) ).
fof(f2566,plain,
op2(e20,e20) != e23,
inference(superposition,[],[f281,f2556]) ).
fof(f2576,plain,
( op2(e23,e23) != h10(op1(e13,e13))
| spl42_74 ),
inference(superposition,[],[f1027,f2563]) ).
fof(f2579,plain,
e23 = op2(e23,e20),
inference(superposition,[],[f2517,f2563]) ).
fof(f2580,plain,
( op2(e23,e23) != h10(e10)
| spl42_74 ),
inference(forward_demodulation,[],[f2576,f2521]) ).
fof(f2581,plain,
( e20 != h10(e10)
| spl42_74 ),
inference(forward_demodulation,[],[f2580,f2549]) ).
fof(f2582,plain,
e23 = h3(e13),
inference(superposition,[],[f2579,f412]) ).
fof(f2597,plain,
( op2(e23,e23) != h3(op1(e13,e13))
| spl42_187 ),
inference(superposition,[],[f2072,f2582]) ).
fof(f2599,plain,
( op2(e23,e23) != h3(e10)
| spl42_187 ),
inference(forward_demodulation,[],[f2597,f2521]) ).
fof(f2600,plain,
( e20 != h3(e10)
| spl42_187 ),
inference(forward_demodulation,[],[f2599,f2549]) ).
fof(f2610,plain,
( e11 = op1(e12,e11)
| ~ sP1 ),
inference(forward_demodulation,[],[f340,f1786]) ).
fof(f2611,plain,
( e11 = e13
| ~ sP1 ),
inference(forward_demodulation,[],[f2610,f647]) ).
fof(f2612,plain,
~ sP1,
inference(forward_subsumption_resolution,[],[f2611,f309]) ).
fof(f2613,plain,
( e10 = op1(e13,e10)
| ~ sP0 ),
inference(forward_demodulation,[],[f344,f2521]) ).
fof(f2614,plain,
~ sP0,
inference(forward_subsumption_resolution,[],[f2613,f2524]) ).
fof(f2616,plain,
( h6(e13) = op2(e21,h6(e13))
| ~ sP5 ),
inference(forward_demodulation,[],[f368,f424]) ).
fof(f2618,definition,
( spl42_236
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl42_236])],[avatar_definition]) ).
fof(f2620,plain,
( ~ sP5
| spl42_236 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f2622,definition,
( spl42_237
<=> h6(e13) = op2(e21,h6(e13)) ),
introduced(definition,[new_symbols(definition,[spl42_237])],[avatar_definition]) ).
fof(f2624,plain,
( h6(e13) = op2(e21,h6(e13))
| ~ spl42_237 ),
inference(avatar_component_clause,[],[f2622]) ).
fof(f2625,plain,
( ~ spl42_236
| spl42_237 ),
inference(avatar_split_clause,[],[f2616,f2622,f2618]) ).
fof(f2626,plain,
( h9(e13) = op2(e22,h9(e13))
| ~ sP4 ),
inference(forward_demodulation,[],[f372,f436]) ).
fof(f2627,plain,
( e21 = op2(e22,e21)
| ~ sP4
| ~ spl42_28 ),
inference(forward_demodulation,[],[f2626,f784]) ).
fof(f2628,plain,
( e21 = e23
| ~ sP4
| ~ spl42_28 ),
inference(forward_demodulation,[],[f2627,f644]) ).
fof(f2629,plain,
( ~ sP4
| ~ spl42_28 ),
inference(forward_subsumption_resolution,[],[f2628,f315]) ).
fof(f2630,plain,
( e20 = op2(e23,e20)
| ~ sP3 ),
inference(forward_demodulation,[],[f376,f2549]) ).
fof(f2631,plain,
( e20 = h3(e13)
| ~ sP3 ),
inference(forward_demodulation,[],[f2630,f412]) ).
fof(f2632,plain,
( ~ sP3
| spl42_186 ),
inference(forward_subsumption_resolution,[],[f2631,f2068]) ).
fof(f2707,plain,
h3(e10) = op2(h3(e13),h3(e13)),
inference(forward_demodulation,[],[f413,f412]) ).
fof(f2708,plain,
op2(e23,e23) = h3(e10),
inference(forward_demodulation,[],[f2707,f2582]) ).
fof(f2709,plain,
e20 = h3(e10),
inference(forward_demodulation,[],[f2708,f2549]) ).
fof(f2710,plain,
( $false
| spl42_187 ),
inference(forward_subsumption_resolution,[],[f2709,f2600]) ).
fof(f2711,plain,
spl42_187,
inference(avatar_contradiction_clause,[],[f2710]) ).
fof(f2712,plain,
( op2(e23,e23) = h3(op1(e13,e13))
| ~ spl42_187 ),
inference(forward_demodulation,[],[f2071,f2582]) ).
fof(f2715,plain,
( op2(e23,e23) = h3(e10)
| ~ spl42_187 ),
inference(forward_demodulation,[],[f2712,f2521]) ).
fof(f2718,plain,
( e20 = h3(e10)
| ~ spl42_187 ),
inference(forward_demodulation,[],[f2715,f2549]) ).
fof(f2789,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| ~ spl42_187
| spl42_190 ),
inference(forward_demodulation,[],[f2084,f2718]) ).
fof(f2941,plain,
h8(e10) = op2(h8(e13),h8(e13)),
inference(forward_demodulation,[],[f433,f432]) ).
fof(f2948,plain,
h9(e10) = op2(h9(e13),h9(e13)),
inference(forward_demodulation,[],[f437,f436]) ).
fof(f2949,plain,
( op2(e21,e21) = h9(e10)
| ~ spl42_28 ),
inference(forward_demodulation,[],[f2948,f784]) ).
fof(f2950,plain,
( $false
| ~ spl42_28
| spl42_90 ),
inference(forward_subsumption_resolution,[],[f2949,f2529]) ).
fof(f2951,plain,
( ~ spl42_28
| spl42_90 ),
inference(avatar_contradiction_clause,[],[f2950]) ).
fof(f2952,plain,
( op2(e21,e21) = h9(op1(e13,e13))
| ~ spl42_28
| ~ spl42_90 ),
inference(forward_demodulation,[],[f1131,f784]) ).
fof(f2953,plain,
( h9(op1(e13,e10)) != op2(e21,h9(e10))
| ~ spl42_28
| spl42_91 ),
inference(forward_demodulation,[],[f1136,f784]) ).
fof(f2954,plain,
( op2(e21,e21) = h9(e10)
| ~ spl42_28
| ~ spl42_90 ),
inference(forward_demodulation,[],[f2952,f2521]) ).
fof(f2955,plain,
( h9(e13) != op2(e21,h9(e10))
| ~ spl42_28
| spl42_91 ),
inference(forward_demodulation,[],[f2953,f2538]) ).
fof(f2956,plain,
( e21 != op2(e21,h9(e10))
| ~ spl42_28
| spl42_91 ),
inference(forward_demodulation,[],[f2955,f784]) ).
fof(f2957,plain,
( e21 = op2(h9(e10),e21)
| ~ spl42_28
| ~ spl42_90 ),
inference(superposition,[],[f394,f2954]) ).
fof(f2966,plain,
h10(e10) = op2(h10(e13),h10(e13)),
inference(forward_demodulation,[],[f441,f440]) ).
fof(f2967,plain,
op2(e23,e23) = h10(e10),
inference(forward_demodulation,[],[f2966,f2563]) ).
fof(f2968,plain,
e20 = h10(e10),
inference(forward_demodulation,[],[f2967,f2549]) ).
fof(f2969,plain,
( $false
| spl42_74 ),
inference(forward_subsumption_resolution,[],[f2968,f2581]) ).
fof(f2970,plain,
spl42_74,
inference(avatar_contradiction_clause,[],[f2969]) ).
fof(f2971,plain,
( op2(e23,e23) = h10(op1(e13,e13))
| ~ spl42_74 ),
inference(forward_demodulation,[],[f1026,f2563]) ).
fof(f2975,plain,
( op2(e23,e23) = h10(e10)
| ~ spl42_74 ),
inference(forward_demodulation,[],[f2971,f2521]) ).
fof(f2979,plain,
( e20 = h10(e10)
| ~ spl42_74 ),
inference(forward_demodulation,[],[f2975,f2549]) ).
fof(f3091,plain,
( op2(e20,e20) != h10(op1(e10,e10))
| ~ spl42_74
| spl42_77 ),
inference(forward_demodulation,[],[f1039,f2979]) ).
fof(f3094,plain,
h11(e10) = op2(h11(e13),h11(e13)),
inference(forward_demodulation,[],[f445,f444]) ).
fof(f3095,plain,
( op2(e22,e22) = h11(e10)
| ~ spl42_34 ),
inference(forward_demodulation,[],[f3094,f815]) ).
fof(f3096,plain,
( $false
| ~ spl42_34
| spl42_56 ),
inference(forward_subsumption_resolution,[],[f3095,f2530]) ).
fof(f3097,plain,
( ~ spl42_34
| spl42_56 ),
inference(avatar_contradiction_clause,[],[f3096]) ).
fof(f3098,plain,
( op2(e22,e22) = h11(op1(e13,e13))
| ~ spl42_34
| ~ spl42_56 ),
inference(forward_demodulation,[],[f929,f815]) ).
fof(f3102,plain,
( op2(e22,e22) = h11(e10)
| ~ spl42_34
| ~ spl42_56 ),
inference(forward_demodulation,[],[f3098,f2521]) ).
fof(f3193,plain,
( h11(op1(e13,e11)) != op2(h11(e13),e23)
| spl42_58 ),
inference(forward_demodulation,[],[f938,f447]) ).
fof(f3195,plain,
( op2(e22,e23) != h11(op1(e13,e11))
| ~ spl42_34
| spl42_58 ),
inference(forward_demodulation,[],[f3193,f815]) ).
fof(f3197,plain,
( h12(e13) != h11(op1(e13,e11))
| ~ spl42_34
| spl42_58 ),
inference(forward_demodulation,[],[f3195,f448]) ).
fof(f3200,plain,
( e22 = op2(h11(e10),e22)
| ~ spl42_34
| ~ spl42_56 ),
inference(superposition,[],[f389,f3102]) ).
fof(f3202,plain,
( h2(e13) != h11(e10)
| ~ spl42_34
| ~ spl42_56 ),
inference(superposition,[],[f1256,f3102]) ).
fof(f3209,plain,
h12(e10) = op2(h12(e13),h12(e13)),
inference(forward_demodulation,[],[f449,f448]) ).
fof(f3309,plain,
( op2(e22,e20) = op2(e20,op2(e22,e20))
| sP4
| sP3
| spl42_236 ),
inference(forward_subsumption_resolution,[],[f381,f2620]) ).
fof(f3310,plain,
( op2(e22,e20) = op2(e20,op2(e22,e20))
| sP3
| ~ spl42_28
| spl42_236 ),
inference(forward_subsumption_resolution,[],[f3309,f2629]) ).
fof(f3311,plain,
( op2(e22,e20) = op2(e20,op2(e22,e20))
| ~ spl42_28
| spl42_186
| spl42_236 ),
inference(forward_subsumption_resolution,[],[f3310,f2632]) ).
fof(f3312,plain,
( h2(e13) = op2(e20,h2(e13))
| ~ spl42_28
| spl42_186
| spl42_236 ),
inference(forward_demodulation,[],[f3311,f408]) ).
fof(f3320,plain,
( e11 = op1(e13,e11)
| e12 = op1(e13,e11)
| e13 = op1(e13,e11) ),
inference(forward_subsumption_resolution,[],[f118,f2523]) ).
fof(f3321,plain,
( e12 = op1(e13,e11)
| e13 = op1(e13,e11) ),
inference(forward_subsumption_resolution,[],[f3320,f1791]) ).
fof(f3322,plain,
e12 = op1(e13,e11),
inference(forward_subsumption_resolution,[],[f3321,f2542]) ).
fof(f3326,plain,
e11 = op1(e12,e13),
inference(superposition,[],[f354,f3322]) ).
fof(f3330,plain,
( h11(e12) != h12(e13)
| ~ spl42_34
| spl42_58 ),
inference(superposition,[],[f3197,f3322]) ).
fof(f3333,plain,
( e21 != h12(e13)
| ~ spl42_34
| spl42_58 ),
inference(forward_demodulation,[],[f3330,f446]) ).
fof(f3335,plain,
( ~ spl42_36
| ~ spl42_34
| spl42_58 ),
inference(avatar_split_clause,[],[f3333,f936,f814,f824]) ).
fof(f3338,plain,
e11 != op1(e12,e10),
inference(superposition,[],[f221,f3326]) ).
fof(f3340,plain,
e13 = op1(e11,e12),
inference(superposition,[],[f356,f3326]) ).
fof(f3349,plain,
( e10 = op1(e12,e12)
| e12 = op1(e12,e12)
| e13 = op1(e12,e12) ),
inference(forward_subsumption_resolution,[],[f121,f1790]) ).
fof(f3351,definition,
( spl42_238
<=> e13 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl42_238])],[avatar_definition]) ).
fof(f3353,plain,
( e13 = op1(e12,e12)
| ~ spl42_238 ),
inference(avatar_component_clause,[],[f3351]) ).
fof(f3355,definition,
( spl42_239
<=> e12 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl42_239])],[avatar_definition]) ).
fof(f3357,plain,
( e12 = op1(e12,e12)
| ~ spl42_239 ),
inference(avatar_component_clause,[],[f3355]) ).
fof(f3359,definition,
( spl42_240
<=> e10 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl42_240])],[avatar_definition]) ).
fof(f3361,plain,
( e10 = op1(e12,e12)
| ~ spl42_240 ),
inference(avatar_component_clause,[],[f3359]) ).
fof(f3362,plain,
( spl42_238
| spl42_239
| spl42_240 ),
inference(avatar_split_clause,[],[f3349,f3359,f3355,f3351]) ).
fof(f3364,plain,
( e12 = op1(e13,e12)
| ~ spl42_238 ),
inference(superposition,[],[f357,f3353]) ).
fof(f3371,plain,
( e11 = e12
| ~ spl42_238 ),
inference(forward_demodulation,[],[f3364,f1786]) ).
fof(f3372,plain,
( $false
| ~ spl42_238 ),
inference(forward_subsumption_resolution,[],[f3371,f310]) ).
fof(f3373,plain,
~ spl42_238,
inference(avatar_contradiction_clause,[],[f3372]) ).
fof(f3380,plain,
( e10 = op1(e12,e10)
| e12 = op1(e12,e10)
| e13 = op1(e12,e10) ),
inference(forward_subsumption_resolution,[],[f123,f3338]) ).
fof(f3381,plain,
( e10 = op1(e12,e10)
| e12 = op1(e12,e10) ),
inference(forward_subsumption_resolution,[],[f3380,f2543]) ).
fof(f3383,definition,
( spl42_241
<=> e12 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl42_241])],[avatar_definition]) ).
fof(f3385,plain,
( e12 = op1(e12,e10)
| ~ spl42_241 ),
inference(avatar_component_clause,[],[f3383]) ).
fof(f3387,definition,
( spl42_242
<=> e10 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl42_242])],[avatar_definition]) ).
fof(f3390,plain,
( spl42_241
| spl42_242 ),
inference(avatar_split_clause,[],[f3381,f3387,f3383]) ).
fof(f3394,plain,
( e10 = op1(e12,e12)
| ~ spl42_241 ),
inference(superposition,[],[f359,f3385]) ).
fof(f3398,plain,
( e10 = e12
| ~ spl42_239
| ~ spl42_241 ),
inference(forward_demodulation,[],[f3394,f3357]) ).
fof(f3402,plain,
( $false
| ~ spl42_239
| ~ spl42_241 ),
inference(forward_subsumption_resolution,[],[f3398,f312]) ).
fof(f3403,plain,
( ~ spl42_239
| ~ spl42_241 ),
inference(avatar_contradiction_clause,[],[f3402]) ).
fof(f3418,plain,
( e10 = op1(e11,e11)
| e11 = op1(e11,e11)
| e13 = op1(e11,e11) ),
inference(forward_subsumption_resolution,[],[f126,f1793]) ).
fof(f3419,plain,
( e10 = op1(e11,e11)
| e11 = op1(e11,e11) ),
inference(forward_subsumption_resolution,[],[f3418,f836]) ).
fof(f3421,definition,
( spl42_243
<=> e11 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl42_243])],[avatar_definition]) ).
fof(f3423,plain,
( e11 = op1(e11,e11)
| ~ spl42_243 ),
inference(avatar_component_clause,[],[f3421]) ).
fof(f3425,definition,
( spl42_244
<=> e10 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl42_244])],[avatar_definition]) ).
fof(f3427,plain,
( e10 = op1(e11,e11)
| ~ spl42_244 ),
inference(avatar_component_clause,[],[f3425]) ).
fof(f3428,plain,
( spl42_243
| spl42_244 ),
inference(avatar_split_clause,[],[f3419,f3425,f3421]) ).
fof(f3432,plain,
( e10 = op1(e11,e10)
| e11 = op1(e11,e10)
| e13 = op1(e11,e10) ),
inference(forward_subsumption_resolution,[],[f127,f1792]) ).
fof(f3433,plain,
( e10 = op1(e11,e10)
| e11 = op1(e11,e10) ),
inference(forward_subsumption_resolution,[],[f3432,f2544]) ).
fof(f3435,definition,
( spl42_245
<=> e11 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl42_245])],[avatar_definition]) ).
fof(f3437,plain,
( e11 = op1(e11,e10)
| ~ spl42_245 ),
inference(avatar_component_clause,[],[f3435]) ).
fof(f3439,definition,
( spl42_246
<=> e10 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl42_246])],[avatar_definition]) ).
fof(f3441,plain,
( e10 = op1(e11,e10)
| ~ spl42_246 ),
inference(avatar_component_clause,[],[f3439]) ).
fof(f3442,plain,
( spl42_245
| spl42_246 ),
inference(avatar_split_clause,[],[f3433,f3439,f3435]) ).
fof(f3445,plain,
( e10 = op1(e11,e11)
| ~ spl42_245 ),
inference(superposition,[],[f363,f3437]) ).
fof(f3449,plain,
( e10 = e11
| ~ spl42_243
| ~ spl42_245 ),
inference(forward_demodulation,[],[f3445,f3423]) ).
fof(f3452,plain,
( $false
| ~ spl42_243
| ~ spl42_245 ),
inference(forward_subsumption_resolution,[],[f3449,f313]) ).
fof(f3453,plain,
( ~ spl42_243
| ~ spl42_245 ),
inference(avatar_contradiction_clause,[],[f3452]) ).
fof(f3464,plain,
( e10 = op1(e10,e10)
| op1(e10,e10) = e11
| op1(e10,e10) = e12 ),
inference(forward_subsumption_resolution,[],[f131,f2535]) ).
fof(f3466,definition,
( spl42_247
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[spl42_247])],[avatar_definition]) ).
fof(f3468,plain,
( op1(e10,e10) = e12
| ~ spl42_247 ),
inference(avatar_component_clause,[],[f3466]) ).
fof(f3470,definition,
( spl42_248
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[spl42_248])],[avatar_definition]) ).
fof(f3472,plain,
( op1(e10,e10) = e11
| ~ spl42_248 ),
inference(avatar_component_clause,[],[f3470]) ).
fof(f3474,definition,
( spl42_249
<=> e10 = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[spl42_249])],[avatar_definition]) ).
fof(f3476,plain,
( e10 = op1(e10,e10)
| ~ spl42_249 ),
inference(avatar_component_clause,[],[f3474]) ).
fof(f3477,plain,
( spl42_247
| spl42_248
| spl42_249 ),
inference(avatar_split_clause,[],[f3464,f3474,f3470,f3466]) ).
fof(f3478,plain,
( e12 != op1(e10,e12)
| ~ spl42_247 ),
inference(superposition,[],[f234,f3468]) ).
fof(f3515,plain,
( e13 = op1(e11,e13)
| ~ sP2 ),
inference(forward_demodulation,[],[f337,f647]) ).
fof(f3520,plain,
( op1(e10,e10) = op1(e10,op1(e10,e10))
| sP2
| sP0 ),
inference(forward_subsumption_resolution,[],[f351,f2612]) ).
fof(f3524,plain,
( e12 = e13
| ~ sP2 ),
inference(forward_demodulation,[],[f3515,f1787]) ).
fof(f3529,plain,
( op1(e10,e10) = op1(e10,op1(e10,e10))
| sP2 ),
inference(forward_subsumption_resolution,[],[f3520,f2614]) ).
fof(f3531,plain,
~ sP2,
inference(forward_subsumption_resolution,[],[f3524,f308]) ).
fof(f3536,plain,
( e12 = op1(e10,e12)
| sP2
| ~ spl42_247 ),
inference(forward_demodulation,[],[f3529,f3468]) ).
fof(f3539,plain,
( $false
| ~ spl42_247 ),
inference(global_subsumption,[],[f3536,f3531,f3478]) ).
fof(f3540,plain,
~ spl42_247,
inference(avatar_contradiction_clause,[],[f3539]) ).
fof(f3545,plain,
op1(e10,e10) = op1(e10,op1(e10,e10)),
inference(global_subsumption,[],[f3529,f3531]) ).
fof(f3557,plain,
( e11 != op1(e10,e11)
| ~ spl42_248 ),
inference(superposition,[],[f235,f3472]) ).
fof(f3579,plain,
( e12 = op1(e10,e12)
| ~ spl42_240 ),
inference(superposition,[],[f357,f3361]) ).
fof(f3595,plain,
( e10 = op1(e10,e11)
| ~ spl42_246 ),
inference(superposition,[],[f363,f3441]) ).
fof(f3619,plain,
( e11 = op1(e10,e11)
| ~ spl42_248 ),
inference(forward_demodulation,[],[f3545,f3472]) ).
fof(f3620,plain,
( $false
| ~ spl42_248 ),
inference(forward_subsumption_resolution,[],[f3619,f3557]) ).
fof(f3621,plain,
~ spl42_248,
inference(avatar_contradiction_clause,[],[f3620]) ).
fof(f3623,plain,
( e10 != op1(e10,e11)
| ~ spl42_249 ),
inference(superposition,[],[f235,f3476]) ).
fof(f3624,plain,
( e10 != op1(e12,e10)
| ~ spl42_249 ),
inference(superposition,[],[f258,f3476]) ).
fof(f3628,plain,
( op2(e20,e20) != h3(e10)
| ~ spl42_187
| spl42_190
| ~ spl42_249 ),
inference(superposition,[],[f2789,f3476]) ).
fof(f3630,plain,
( op2(e20,e20) != h10(e10)
| ~ spl42_74
| spl42_77
| ~ spl42_249 ),
inference(superposition,[],[f3091,f3476]) ).
fof(f3633,plain,
( e20 != op2(e20,e20)
| ~ spl42_74
| spl42_77
| ~ spl42_249 ),
inference(forward_demodulation,[],[f3630,f2979]) ).
fof(f3635,plain,
( e20 != op2(e20,e20)
| ~ spl42_187
| spl42_190
| ~ spl42_249 ),
inference(forward_demodulation,[],[f3628,f2718]) ).
fof(f3638,plain,
( $false
| ~ spl42_246
| ~ spl42_249 ),
inference(forward_subsumption_resolution,[],[f3623,f3595]) ).
fof(f3639,plain,
( ~ spl42_246
| ~ spl42_249 ),
inference(avatar_contradiction_clause,[],[f3638]) ).
fof(f3642,plain,
( e11 = op1(e10,e11)
| ~ spl42_244 ),
inference(superposition,[],[f362,f3427]) ).
fof(f3661,plain,
( e20 = op2(e23,e21)
| e21 = op2(e23,e21)
| e22 = op2(e23,e21) ),
inference(forward_subsumption_resolution,[],[f166,f833]) ).
fof(f3662,plain,
( e20 = h6(e13)
| e21 = op2(e23,e21)
| e22 = op2(e23,e21) ),
inference(forward_demodulation,[],[f3661,f424]) ).
fof(f3680,plain,
( e21 = op2(e22,e23)
| ~ spl42_20 ),
inference(superposition,[],[f2436,f744]) ).
fof(f3685,plain,
( e21 = h12(e13)
| ~ spl42_20 ),
inference(superposition,[],[f3680,f448]) ).
fof(f3687,plain,
( e21 != op2(e22,e20)
| ~ spl42_20 ),
inference(superposition,[],[f269,f3680]) ).
fof(f3696,plain,
( e21 != h2(e13)
| ~ spl42_20 ),
inference(forward_demodulation,[],[f3687,f408]) ).
fof(f3697,plain,
( $false
| ~ spl42_20
| spl42_36 ),
inference(forward_subsumption_resolution,[],[f3685,f826]) ).
fof(f3698,plain,
( ~ spl42_20
| spl42_36 ),
inference(avatar_contradiction_clause,[],[f3697]) ).
fof(f3700,plain,
( h11(op1(e13,e11)) = op2(h11(e13),e23)
| ~ spl42_58 ),
inference(forward_demodulation,[],[f937,f447]) ).
fof(f3703,plain,
( op2(e22,e23) = h11(op1(e13,e11))
| ~ spl42_34
| ~ spl42_58 ),
inference(forward_demodulation,[],[f3700,f815]) ).
fof(f3705,plain,
( op2(e22,e23) = h11(e12)
| ~ spl42_34
| ~ spl42_58 ),
inference(forward_demodulation,[],[f3703,f3322]) ).
fof(f3707,plain,
( e21 = op2(e22,e23)
| ~ spl42_34
| ~ spl42_58 ),
inference(forward_demodulation,[],[f3705,f446]) ).
fof(f3735,definition,
( spl42_252
<=> e21 = op2(e21,h11(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_252])],[avatar_definition]) ).
fof(f3736,plain,
( e21 = op2(e21,h11(e10))
| ~ spl42_252 ),
inference(avatar_component_clause,[],[f3735]) ).
fof(f3737,plain,
( e21 != op2(e21,h11(e10))
| spl42_252 ),
inference(avatar_component_clause,[],[f3735]) ).
fof(f3739,definition,
( spl42_253
<=> e20 = h11(e10) ),
introduced(definition,[new_symbols(definition,[spl42_253])],[avatar_definition]) ).
fof(f3740,plain,
( e20 = h11(e10)
| ~ spl42_253 ),
inference(avatar_component_clause,[],[f3739]) ).
fof(f3759,plain,
( ~ spl42_6
| ~ spl42_20 ),
inference(avatar_split_clause,[],[f3696,f743,f674]) ).
fof(f3765,plain,
( e23 = op2(e21,e22)
| ~ spl42_36 ),
inference(superposition,[],[f2465,f825]) ).
fof(f3767,plain,
( op2(e21,e21) = h12(e10)
| ~ spl42_36 ),
inference(superposition,[],[f3209,f825]) ).
fof(f3771,plain,
( h9(e10) = h12(e10)
| ~ spl42_28
| ~ spl42_36
| ~ spl42_90 ),
inference(forward_demodulation,[],[f3767,f2954]) ).
fof(f3838,definition,
( spl42_266
<=> h12(e10) = op2(h12(e10),h12(e10)) ),
introduced(definition,[new_symbols(definition,[spl42_266])],[avatar_definition]) ).
fof(f3839,plain,
( h12(e10) = op2(h12(e10),h12(e10))
| ~ spl42_266 ),
inference(avatar_component_clause,[],[f3838]) ).
fof(f3840,plain,
( h12(e10) != op2(h12(e10),h12(e10))
| spl42_266 ),
inference(avatar_component_clause,[],[f3838]) ).
fof(f3843,plain,
( e23 = h8(e13)
| ~ spl42_36 ),
inference(superposition,[],[f3765,f432]) ).
fof(f3850,plain,
( $false
| spl42_26
| ~ spl42_36 ),
inference(forward_subsumption_resolution,[],[f3843,f776]) ).
fof(f3851,plain,
( spl42_26
| ~ spl42_36 ),
inference(avatar_contradiction_clause,[],[f3850]) ).
fof(f3857,plain,
( e22 = op2(e23,e21)
| ~ spl42_26 ),
inference(superposition,[],[f2514,f775]) ).
fof(f3858,plain,
( op2(e23,e23) = h8(e10)
| ~ spl42_26 ),
inference(superposition,[],[f2941,f775]) ).
fof(f3860,plain,
( e20 = h8(e10)
| ~ spl42_26 ),
inference(forward_demodulation,[],[f3858,f2549]) ).
fof(f3861,plain,
( spl42_122
| ~ spl42_26 ),
inference(avatar_split_clause,[],[f3860,f774,f1417]) ).
fof(f3894,plain,
( op2(e20,e20) != h8(op1(e10,e10))
| spl42_110
| ~ spl42_122 ),
inference(forward_demodulation,[],[f1298,f1418]) ).
fof(f3896,plain,
( op2(e20,e20) != h8(e10)
| spl42_110
| ~ spl42_122
| ~ spl42_249 ),
inference(forward_demodulation,[],[f3894,f3476]) ).
fof(f3898,plain,
( e20 != op2(e20,e20)
| spl42_110
| ~ spl42_122
| ~ spl42_249 ),
inference(forward_demodulation,[],[f3896,f1418]) ).
fof(f3922,plain,
( e20 = op2(e22,e22)
| e22 = op2(e22,e22)
| e23 = op2(e22,e22) ),
inference(forward_subsumption_resolution,[],[f169,f2469]) ).
fof(f3923,plain,
( e20 = op2(e22,e22)
| e22 = op2(e22,e22) ),
inference(forward_subsumption_resolution,[],[f3922,f831]) ).
fof(f3924,plain,
( e20 = h11(e10)
| e22 = op2(e22,e22)
| ~ spl42_34
| ~ spl42_56 ),
inference(forward_demodulation,[],[f3923,f3102]) ).
fof(f3953,plain,
( e21 = h6(e13)
| e20 = h6(e13)
| e22 = op2(e23,e21) ),
inference(forward_demodulation,[],[f3662,f424]) ).
fof(f3956,plain,
( e22 = h11(e10)
| e20 = h11(e10)
| ~ spl42_34
| ~ spl42_56 ),
inference(forward_demodulation,[],[f3924,f3102]) ).
fof(f3957,plain,
( e20 = h6(e13)
| e22 = op2(e23,e21) ),
inference(forward_subsumption_resolution,[],[f3953,f2478]) ).
fof(f3960,plain,
( e22 = h6(e13)
| e20 = h6(e13) ),
inference(forward_demodulation,[],[f3957,f424]) ).
fof(f3964,plain,
e22 = h6(e13),
inference(global_subsumption,[],[f3960,f2561]) ).
fof(f3973,plain,
( $false
| spl42_20 ),
inference(global_subsumption,[],[f745,f3964]) ).
fof(f3974,plain,
spl42_20,
inference(avatar_contradiction_clause,[],[f3973]) ).
fof(f3993,definition,
( spl42_268
<=> e22 = h11(e10) ),
introduced(definition,[new_symbols(definition,[spl42_268])],[avatar_definition]) ).
fof(f3995,plain,
( e22 = h11(e10)
| ~ spl42_268 ),
inference(avatar_component_clause,[],[f3993]) ).
fof(f3996,plain,
( spl42_253
| spl42_268
| ~ spl42_34
| ~ spl42_56 ),
inference(avatar_split_clause,[],[f3956,f928,f814,f3993,f3739]) ).
fof(f3999,plain,
( e22 != h2(e13)
| ~ spl42_34
| ~ spl42_56
| ~ spl42_268 ),
inference(superposition,[],[f3202,f3995]) ).
fof(f4051,plain,
( e20 = op2(e22,e20)
| e21 = op2(e22,e20)
| e22 = op2(e22,e20) ),
inference(forward_subsumption_resolution,[],[f171,f832]) ).
fof(f4052,plain,
( e20 = h2(e13)
| e21 = op2(e22,e20)
| e22 = op2(e22,e20) ),
inference(forward_demodulation,[],[f4051,f408]) ).
fof(f4053,plain,
( e21 = op2(e22,e20)
| e22 = op2(e22,e20)
| spl42_202 ),
inference(forward_subsumption_resolution,[],[f4052,f2208]) ).
fof(f4054,plain,
( e21 = h2(e13)
| e22 = op2(e22,e20)
| spl42_202 ),
inference(forward_demodulation,[],[f4053,f408]) ).
fof(f4055,plain,
( e22 = op2(e22,e20)
| spl42_6
| spl42_202 ),
inference(forward_subsumption_resolution,[],[f4054,f676]) ).
fof(f4056,plain,
( e22 = h2(e13)
| spl42_6
| spl42_202 ),
inference(superposition,[],[f4055,f408]) ).
fof(f4066,plain,
( $false
| spl42_6
| ~ spl42_34
| ~ spl42_56
| spl42_202
| ~ spl42_268 ),
inference(forward_subsumption_resolution,[],[f4056,f3999]) ).
fof(f4067,plain,
( spl42_6
| ~ spl42_34
| ~ spl42_56
| spl42_202
| ~ spl42_268 ),
inference(avatar_contradiction_clause,[],[f4066]) ).
fof(f4078,plain,
( e20 = op2(e20,e20)
| ~ spl42_28
| spl42_186
| ~ spl42_202
| spl42_236 ),
inference(superposition,[],[f3312,f2207]) ).
fof(f4080,plain,
( $false
| ~ spl42_28
| ~ spl42_74
| spl42_77
| spl42_186
| ~ spl42_202
| spl42_236
| ~ spl42_249 ),
inference(forward_subsumption_resolution,[],[f4078,f3633]) ).
fof(f4081,plain,
( ~ spl42_28
| ~ spl42_74
| spl42_77
| spl42_186
| ~ spl42_202
| spl42_236
| ~ spl42_249 ),
inference(avatar_contradiction_clause,[],[f4080]) ).
fof(f4082,plain,
( op2(e20,e20) = h10(op1(e10,e10))
| ~ spl42_74
| ~ spl42_77 ),
inference(forward_demodulation,[],[f1038,f2979]) ).
fof(f4085,plain,
( op2(e20,e20) = h10(e10)
| ~ spl42_74
| ~ spl42_77
| ~ spl42_249 ),
inference(forward_demodulation,[],[f4082,f3476]) ).
fof(f4088,plain,
( e20 = op2(e20,e20)
| ~ spl42_74
| ~ spl42_77
| ~ spl42_249 ),
inference(forward_demodulation,[],[f4085,f2979]) ).
fof(f4120,plain,
( op2(e20,e20) != h10(op1(e10,e12))
| ~ spl42_74
| spl42_79 ),
inference(forward_demodulation,[],[f1047,f2979]) ).
fof(f4122,plain,
( op2(e20,e20) != h10(e12)
| ~ spl42_74
| spl42_79
| ~ spl42_240 ),
inference(forward_demodulation,[],[f4120,f3579]) ).
fof(f4124,plain,
( e20 != op2(e20,e20)
| ~ spl42_74
| spl42_79
| ~ spl42_240 ),
inference(forward_demodulation,[],[f4122,f442]) ).
fof(f4125,plain,
( $false
| ~ spl42_74
| ~ spl42_77
| spl42_110
| ~ spl42_122
| ~ spl42_249 ),
inference(forward_subsumption_resolution,[],[f4088,f3898]) ).
fof(f4126,plain,
( ~ spl42_74
| ~ spl42_77
| spl42_110
| ~ spl42_122
| ~ spl42_249 ),
inference(avatar_contradiction_clause,[],[f4125]) ).
fof(f4127,plain,
( op2(e20,e20) = h8(op1(e10,e10))
| ~ spl42_110
| ~ spl42_122 ),
inference(forward_demodulation,[],[f1297,f1418]) ).
fof(f4129,plain,
( op2(e20,e20) = h8(e10)
| ~ spl42_110
| ~ spl42_122
| ~ spl42_249 ),
inference(forward_demodulation,[],[f4127,f3476]) ).
fof(f4131,plain,
( e20 = op2(e20,e20)
| ~ spl42_110
| ~ spl42_122
| ~ spl42_249 ),
inference(forward_demodulation,[],[f4129,f1418]) ).
fof(f4369,plain,
( $false
| ~ spl42_74
| ~ spl42_77
| spl42_79
| ~ spl42_240
| ~ spl42_249 ),
inference(forward_subsumption_resolution,[],[f4088,f4124]) ).
fof(f4370,plain,
( ~ spl42_74
| ~ spl42_77
| spl42_79
| ~ spl42_240
| ~ spl42_249 ),
inference(avatar_contradiction_clause,[],[f4369]) ).
fof(f4371,plain,
( op2(e20,e20) = h10(op1(e10,e12))
| ~ spl42_74
| ~ spl42_79 ),
inference(forward_demodulation,[],[f1046,f2979]) ).
fof(f4372,plain,
( op2(e20,e20) = h10(e12)
| ~ spl42_74
| ~ spl42_79
| ~ spl42_240 ),
inference(forward_demodulation,[],[f4371,f3579]) ).
fof(f4373,plain,
( e20 = op2(e20,e20)
| ~ spl42_74
| ~ spl42_79
| ~ spl42_240 ),
inference(forward_demodulation,[],[f4372,f442]) ).
fof(f4374,plain,
( $false
| ~ spl42_74
| ~ spl42_77
| ~ spl42_187
| spl42_190
| ~ spl42_249 ),
inference(forward_subsumption_resolution,[],[f4088,f3635]) ).
fof(f4375,plain,
( ~ spl42_74
| ~ spl42_77
| ~ spl42_187
| spl42_190
| ~ spl42_249 ),
inference(avatar_contradiction_clause,[],[f4374]) ).
fof(f4378,plain,
( e20 = e23
| ~ sP3 ),
inference(forward_demodulation,[],[f2631,f2582]) ).
fof(f4386,plain,
~ sP3,
inference(forward_subsumption_resolution,[],[f4378,f317]) ).
fof(f4403,plain,
( op2(e20,e20) = h3(op1(e10,e10))
| ~ spl42_187
| ~ spl42_190 ),
inference(forward_demodulation,[],[f2083,f2718]) ).
fof(f4407,plain,
( op2(e20,e20) = h3(e10)
| ~ spl42_187
| ~ spl42_190
| ~ spl42_249 ),
inference(forward_demodulation,[],[f4403,f3476]) ).
fof(f4410,plain,
( e20 = op2(e20,e20)
| ~ spl42_187
| ~ spl42_190
| ~ spl42_249 ),
inference(forward_demodulation,[],[f4407,f2718]) ).
fof(f4433,plain,
( e20 = e23
| ~ spl42_186 ),
inference(superposition,[],[f2067,f2582]) ).
fof(f4443,plain,
( $false
| ~ spl42_186 ),
inference(forward_subsumption_resolution,[],[f4433,f317]) ).
fof(f4444,plain,
~ spl42_186,
inference(avatar_contradiction_clause,[],[f4443]) ).
fof(f4483,plain,
( e20 != op2(e22,e20)
| ~ spl42_110
| ~ spl42_122
| ~ spl42_249 ),
inference(superposition,[],[f306,f4131]) ).
fof(f4491,plain,
( e20 != h2(e13)
| ~ spl42_110
| ~ spl42_122
| ~ spl42_249 ),
inference(forward_demodulation,[],[f4483,f408]) ).
fof(f4494,plain,
( $false
| ~ spl42_110
| ~ spl42_122
| ~ spl42_202
| ~ spl42_249 ),
inference(forward_subsumption_resolution,[],[f4491,f2207]) ).
fof(f4495,plain,
( ~ spl42_110
| ~ spl42_122
| ~ spl42_202
| ~ spl42_249 ),
inference(avatar_contradiction_clause,[],[f4494]) ).
fof(f4498,plain,
( e22 = op2(e21,e22)
| ~ spl42_20
| ~ spl42_237 ),
inference(forward_demodulation,[],[f2624,f744]) ).
fof(f4504,plain,
( op2(e21,e20) = op2(e20,op2(e21,e20))
| sP5
| sP3
| ~ spl42_28 ),
inference(forward_subsumption_resolution,[],[f382,f2629]) ).
fof(f4511,plain,
( op2(e21,e20) = op2(e20,op2(e21,e20))
| sP5
| ~ spl42_28 ),
inference(forward_subsumption_resolution,[],[f4504,f4386]) ).
fof(f4518,plain,
( h1(e13) = op2(e20,h1(e13))
| sP5
| ~ spl42_28 ),
inference(forward_demodulation,[],[f4511,f404]) ).
fof(f4827,plain,
( e22 = op2(e20,e22)
| ~ spl42_34
| ~ spl42_56
| ~ spl42_253 ),
inference(superposition,[],[f3200,f3740]) ).
fof(f4953,plain,
( e22 = h7(e13)
| ~ spl42_34
| ~ spl42_56
| ~ spl42_253 ),
inference(superposition,[],[f4827,f428]) ).
fof(f4976,plain,
( e22 = op2(e22,e20)
| ~ spl42_34
| ~ spl42_56
| ~ spl42_253 ),
inference(superposition,[],[f2518,f4953]) ).
fof(f4979,plain,
( e22 = h2(e13)
| ~ spl42_34
| ~ spl42_56
| ~ spl42_253 ),
inference(superposition,[],[f4976,f408]) ).
fof(f4990,plain,
( e20 = op2(e22,e22)
| ~ spl42_34
| ~ spl42_56
| ~ spl42_217
| ~ spl42_253 ),
inference(superposition,[],[f2267,f4979]) ).
fof(f5602,plain,
( h1(e13) = op2(e20,h1(e13))
| ~ spl42_28
| spl42_236 ),
inference(forward_subsumption_resolution,[],[f4518,f2620]) ).
fof(f5603,plain,
( e22 = e23
| ~ spl42_20
| ~ spl42_36
| ~ spl42_237 ),
inference(superposition,[],[f4498,f3765]) ).
fof(f5618,plain,
( $false
| ~ spl42_20
| ~ spl42_36
| ~ spl42_237 ),
inference(forward_subsumption_resolution,[],[f5603,f314]) ).
fof(f5619,plain,
( ~ spl42_20
| ~ spl42_36
| ~ spl42_237 ),
inference(avatar_contradiction_clause,[],[f5618]) ).
fof(f5625,plain,
( e20 = op2(e21,e21)
| e21 = op2(e21,e21)
| e23 = op2(e21,e21)
| ~ spl42_28 ),
inference(forward_subsumption_resolution,[],[f174,f2495]) ).
fof(f5626,plain,
( e20 = op2(e21,e21)
| e21 = op2(e21,e21)
| ~ spl42_28 ),
inference(forward_subsumption_resolution,[],[f5625,f834]) ).
fof(f5627,plain,
( e20 = h9(e10)
| e21 = op2(e21,e21)
| ~ spl42_28
| ~ spl42_90 ),
inference(forward_demodulation,[],[f5626,f2954]) ).
fof(f5628,plain,
( e21 = h9(e10)
| e20 = h9(e10)
| ~ spl42_28
| ~ spl42_90 ),
inference(forward_demodulation,[],[f5627,f2954]) ).
fof(f5630,definition,
( spl42_269
<=> e21 = h9(e10) ),
introduced(definition,[new_symbols(definition,[spl42_269])],[avatar_definition]) ).
fof(f5632,plain,
( e21 = h9(e10)
| ~ spl42_269 ),
inference(avatar_component_clause,[],[f5630]) ).
fof(f5633,plain,
( spl42_105
| spl42_269
| ~ spl42_28
| ~ spl42_90 ),
inference(avatar_split_clause,[],[f5628,f1130,f783,f5630,f1248]) ).
fof(f5634,plain,
( e21 != op2(e21,e21)
| ~ spl42_28
| spl42_91
| ~ spl42_269 ),
inference(superposition,[],[f2956,f5632]) ).
fof(f5642,plain,
( e21 != h9(e10)
| ~ spl42_28
| ~ spl42_90
| spl42_91
| ~ spl42_269 ),
inference(forward_demodulation,[],[f5634,f2954]) ).
fof(f5643,plain,
( $false
| ~ spl42_28
| ~ spl42_90
| spl42_91
| ~ spl42_269 ),
inference(forward_subsumption_resolution,[],[f5642,f5632]) ).
fof(f5644,plain,
( ~ spl42_28
| ~ spl42_90
| spl42_91
| ~ spl42_269 ),
inference(avatar_contradiction_clause,[],[f5643]) ).
fof(f5654,plain,
( h9(op1(e10,e13)) != op2(h9(e10),e21)
| ~ spl42_28
| spl42_92 ),
inference(forward_demodulation,[],[f1140,f784]) ).
fof(f5656,plain,
( e21 != h9(op1(e10,e13))
| ~ spl42_28
| ~ spl42_90
| spl42_92 ),
inference(forward_demodulation,[],[f5654,f2957]) ).
fof(f5658,plain,
( e21 != h9(e13)
| ~ spl42_28
| ~ spl42_90
| spl42_92 ),
inference(forward_demodulation,[],[f5656,f2528]) ).
fof(f5660,plain,
( $false
| ~ spl42_28
| ~ spl42_90
| spl42_92 ),
inference(forward_subsumption_resolution,[],[f5658,f784]) ).
fof(f5661,plain,
( ~ spl42_28
| ~ spl42_90
| spl42_92 ),
inference(avatar_contradiction_clause,[],[f5660]) ).
fof(f5663,plain,
( h9(e10) != op2(h9(e10),h9(e10))
| spl42_93
| ~ spl42_249 ),
inference(forward_demodulation,[],[f1144,f3476]) ).
fof(f5666,plain,
( e21 = op2(e20,e21)
| ~ spl42_28
| ~ spl42_90
| ~ spl42_105 ),
inference(superposition,[],[f2957,f1249]) ).
fof(f5675,plain,
( e20 != op2(e20,e20)
| spl42_93
| ~ spl42_105
| ~ spl42_249 ),
inference(superposition,[],[f5663,f1249]) ).
fof(f5676,plain,
( $false
| ~ spl42_74
| ~ spl42_79
| spl42_93
| ~ spl42_105
| ~ spl42_240
| ~ spl42_249 ),
inference(forward_subsumption_resolution,[],[f5675,f4373]) ).
fof(f5677,plain,
( ~ spl42_74
| ~ spl42_79
| spl42_93
| ~ spl42_105
| ~ spl42_240
| ~ spl42_249 ),
inference(avatar_contradiction_clause,[],[f5676]) ).
fof(f5680,plain,
( e22 != h9(op1(e13,e12))
| spl42_104 ),
inference(forward_demodulation,[],[f1188,f2295]) ).
fof(f5682,plain,
( e22 != h9(e11)
| spl42_104 ),
inference(forward_demodulation,[],[f5680,f1786]) ).
fof(f5684,plain,
( $false
| spl42_104 ),
inference(forward_subsumption_resolution,[],[f5682,f439]) ).
fof(f5685,plain,
spl42_104,
inference(avatar_contradiction_clause,[],[f5684]) ).
fof(f5686,plain,
( op2(e20,e22) != h9(op1(e10,e11))
| spl42_94
| ~ spl42_105 ),
inference(forward_demodulation,[],[f1148,f1249]) ).
fof(f5688,plain,
( op2(e20,e22) != h9(e11)
| spl42_94
| ~ spl42_105
| ~ spl42_244 ),
inference(forward_demodulation,[],[f5686,f3642]) ).
fof(f5690,plain,
( e22 != op2(e20,e22)
| spl42_94
| ~ spl42_105
| ~ spl42_244 ),
inference(forward_demodulation,[],[f5688,f439]) ).
fof(f5691,plain,
( $false
| ~ spl42_34
| ~ spl42_56
| spl42_94
| ~ spl42_105
| ~ spl42_244
| ~ spl42_253 ),
inference(forward_subsumption_resolution,[],[f5690,f4827]) ).
fof(f5692,plain,
( ~ spl42_34
| ~ spl42_56
| spl42_94
| ~ spl42_105
| ~ spl42_244
| ~ spl42_253 ),
inference(avatar_contradiction_clause,[],[f5691]) ).
fof(f5694,plain,
( op2(e21,e22) != h9(op1(e13,e11))
| ~ spl42_28
| spl42_103 ),
inference(forward_demodulation,[],[f1184,f784]) ).
fof(f5696,plain,
( op2(e21,e22) != h9(e12)
| ~ spl42_28
| spl42_103 ),
inference(forward_demodulation,[],[f5694,f3322]) ).
fof(f5698,plain,
( e23 != op2(e21,e22)
| ~ spl42_28
| spl42_103 ),
inference(forward_demodulation,[],[f5696,f438]) ).
fof(f5699,plain,
( $false
| ~ spl42_28
| ~ spl42_36
| spl42_103 ),
inference(forward_subsumption_resolution,[],[f5698,f3765]) ).
fof(f5700,plain,
( ~ spl42_28
| ~ spl42_36
| spl42_103 ),
inference(avatar_contradiction_clause,[],[f5699]) ).
fof(f5701,plain,
( op2(e20,e23) != h9(op1(e10,e12))
| spl42_95
| ~ spl42_105 ),
inference(forward_demodulation,[],[f1152,f1249]) ).
fof(f5703,plain,
( op2(e20,e23) != h9(e12)
| spl42_95
| ~ spl42_105
| ~ spl42_240 ),
inference(forward_demodulation,[],[f5701,f3579]) ).
fof(f5705,plain,
( e23 != op2(e20,e23)
| spl42_95
| ~ spl42_105
| ~ spl42_240 ),
inference(forward_demodulation,[],[f5703,f438]) ).
fof(f5707,plain,
( $false
| spl42_95
| ~ spl42_105
| ~ spl42_240 ),
inference(forward_subsumption_resolution,[],[f5705,f2556]) ).
fof(f5708,plain,
( spl42_95
| ~ spl42_105
| ~ spl42_240 ),
inference(avatar_contradiction_clause,[],[f5707]) ).
fof(f5710,plain,
( op2(e23,e21) != h9(op1(e12,e13))
| ~ spl42_28
| spl42_102 ),
inference(forward_demodulation,[],[f1180,f784]) ).
fof(f5712,plain,
( op2(e23,e21) != h9(e11)
| ~ spl42_28
| spl42_102 ),
inference(forward_demodulation,[],[f5710,f3326]) ).
fof(f5714,plain,
( e22 != op2(e23,e21)
| ~ spl42_28
| spl42_102 ),
inference(forward_demodulation,[],[f5712,f439]) ).
fof(f5715,plain,
( $false
| ~ spl42_26
| ~ spl42_28
| spl42_102 ),
inference(forward_subsumption_resolution,[],[f5714,f3857]) ).
fof(f5716,plain,
( ~ spl42_26
| ~ spl42_28
| spl42_102 ),
inference(avatar_contradiction_clause,[],[f5715]) ).
fof(f5717,plain,
( op2(e22,e20) != h9(op1(e11,e10))
| spl42_96
| ~ spl42_105 ),
inference(forward_demodulation,[],[f1156,f1249]) ).
fof(f5719,plain,
( op2(e22,e20) != h9(e11)
| spl42_96
| ~ spl42_105
| ~ spl42_245 ),
inference(forward_demodulation,[],[f5717,f3437]) ).
fof(f5721,plain,
( e22 != op2(e22,e20)
| spl42_96
| ~ spl42_105
| ~ spl42_245 ),
inference(forward_demodulation,[],[f5719,f439]) ).
fof(f5723,plain,
( $false
| ~ spl42_34
| ~ spl42_56
| spl42_96
| ~ spl42_105
| ~ spl42_245
| ~ spl42_253 ),
inference(forward_subsumption_resolution,[],[f5721,f4976]) ).
fof(f5724,plain,
( ~ spl42_34
| ~ spl42_56
| spl42_96
| ~ spl42_105
| ~ spl42_245
| ~ spl42_253 ),
inference(avatar_contradiction_clause,[],[f5723]) ).
fof(f5726,plain,
( op2(e23,e23) != h9(e10)
| spl42_101
| ~ spl42_240 ),
inference(forward_demodulation,[],[f1176,f3361]) ).
fof(f5728,plain,
( e20 != op2(e23,e23)
| spl42_101
| ~ spl42_105
| ~ spl42_240 ),
inference(forward_demodulation,[],[f5726,f1249]) ).
fof(f5730,plain,
( $false
| spl42_101
| ~ spl42_105
| ~ spl42_240 ),
inference(forward_subsumption_resolution,[],[f5728,f2549]) ).
fof(f5731,plain,
( spl42_101
| ~ spl42_105
| ~ spl42_240 ),
inference(avatar_contradiction_clause,[],[f5730]) ).
fof(f5732,plain,
( op2(e22,e22) != h9(e10)
| spl42_97
| ~ spl42_244 ),
inference(forward_demodulation,[],[f1160,f3427]) ).
fof(f5734,plain,
( e20 != op2(e22,e22)
| spl42_97
| ~ spl42_105
| ~ spl42_244 ),
inference(forward_demodulation,[],[f5732,f1249]) ).
fof(f5736,plain,
( $false
| ~ spl42_34
| ~ spl42_56
| spl42_97
| ~ spl42_105
| ~ spl42_217
| ~ spl42_244
| ~ spl42_253 ),
inference(forward_subsumption_resolution,[],[f5734,f4990]) ).
fof(f5737,plain,
( ~ spl42_34
| ~ spl42_56
| spl42_97
| ~ spl42_105
| ~ spl42_217
| ~ spl42_244
| ~ spl42_253 ),
inference(avatar_contradiction_clause,[],[f5736]) ).
fof(f5739,plain,
( op2(e23,e20) != h9(op1(e12,e10))
| spl42_100
| ~ spl42_105 ),
inference(forward_demodulation,[],[f1172,f1249]) ).
fof(f5741,plain,
( op2(e23,e20) != h9(e12)
| spl42_100
| ~ spl42_105
| ~ spl42_241 ),
inference(forward_demodulation,[],[f5739,f3385]) ).
fof(f5742,plain,
( e23 != op2(e23,e20)
| spl42_100
| ~ spl42_105
| ~ spl42_241 ),
inference(forward_demodulation,[],[f5741,f438]) ).
fof(f5743,plain,
( $false
| spl42_100
| ~ spl42_105
| ~ spl42_241 ),
inference(forward_subsumption_resolution,[],[f5742,f2579]) ).
fof(f5744,plain,
( spl42_100
| ~ spl42_105
| ~ spl42_241 ),
inference(avatar_contradiction_clause,[],[f5743]) ).
fof(f5745,plain,
( op2(e22,e23) != h9(e13)
| spl42_98 ),
inference(forward_demodulation,[],[f1164,f3340]) ).
fof(f5747,plain,
( e21 != op2(e22,e23)
| ~ spl42_28
| spl42_98 ),
inference(forward_demodulation,[],[f5745,f784]) ).
fof(f5749,plain,
( $false
| ~ spl42_28
| ~ spl42_34
| ~ spl42_58
| spl42_98 ),
inference(forward_subsumption_resolution,[],[f5747,f3707]) ).
fof(f5750,plain,
( ~ spl42_28
| ~ spl42_34
| ~ spl42_58
| spl42_98 ),
inference(avatar_contradiction_clause,[],[f5749]) ).
fof(f5753,plain,
( op2(e22,e21) != h9(op1(e11,e13))
| ~ spl42_28
| spl42_99 ),
inference(forward_demodulation,[],[f1168,f784]) ).
fof(f5755,plain,
( op2(e22,e21) != h9(e12)
| ~ spl42_28
| spl42_99 ),
inference(forward_demodulation,[],[f5753,f1787]) ).
fof(f5756,plain,
( e23 != op2(e22,e21)
| ~ spl42_28
| spl42_99 ),
inference(forward_demodulation,[],[f5755,f438]) ).
fof(f5757,plain,
( $false
| ~ spl42_28
| spl42_99 ),
inference(forward_subsumption_resolution,[],[f5756,f644]) ).
fof(f5758,plain,
( ~ spl42_28
| spl42_99 ),
inference(avatar_contradiction_clause,[],[f5757]) ).
fof(f5759,plain,
( h9(op1(e13,e10)) != op2(h9(e13),e20)
| spl42_91
| ~ spl42_105 ),
inference(forward_demodulation,[],[f1136,f1249]) ).
fof(f5761,plain,
( op2(e21,e20) != h9(op1(e13,e10))
| ~ spl42_28
| spl42_91
| ~ spl42_105 ),
inference(forward_demodulation,[],[f5759,f784]) ).
fof(f5763,plain,
( op2(e21,e20) != h9(e13)
| ~ spl42_28
| spl42_91
| ~ spl42_105 ),
inference(forward_demodulation,[],[f5761,f2538]) ).
fof(f5765,plain,
( e21 != op2(e21,e20)
| ~ spl42_28
| spl42_91
| ~ spl42_105 ),
inference(forward_demodulation,[],[f5763,f784]) ).
fof(f5766,plain,
( e21 != h1(e13)
| ~ spl42_28
| spl42_91
| ~ spl42_105 ),
inference(forward_demodulation,[],[f5765,f404]) ).
fof(f5767,plain,
( e21 = h4(e13)
| ~ spl42_28
| ~ spl42_90
| ~ spl42_105 ),
inference(superposition,[],[f5666,f416]) ).
fof(f5776,plain,
( e21 != op2(e21,e20)
| spl42_252
| ~ spl42_253 ),
inference(forward_demodulation,[],[f3737,f3740]) ).
fof(f5778,plain,
( e21 != h1(e13)
| spl42_252
| ~ spl42_253 ),
inference(forward_demodulation,[],[f5776,f404]) ).
fof(f5896,plain,
( e21 = op2(e21,e20)
| ~ spl42_28
| ~ spl42_90
| ~ spl42_105
| ~ spl42_185 ),
inference(superposition,[],[f2012,f5767]) ).
fof(f5909,plain,
( e21 = h1(e13)
| ~ spl42_28
| ~ spl42_90
| ~ spl42_105
| ~ spl42_185 ),
inference(superposition,[],[f5896,f404]) ).
fof(f5917,plain,
( $false
| ~ spl42_28
| ~ spl42_90
| spl42_91
| ~ spl42_105
| ~ spl42_185 ),
inference(forward_subsumption_resolution,[],[f5909,f5766]) ).
fof(f5918,plain,
( ~ spl42_28
| ~ spl42_90
| spl42_91
| ~ spl42_105
| ~ spl42_185 ),
inference(avatar_contradiction_clause,[],[f5917]) ).
fof(f6002,plain,
( ~ spl42_242
| ~ spl42_249 ),
inference(avatar_split_clause,[],[f3624,f3474,f3387]) ).
fof(f6004,plain,
( h9(e10) != op2(h9(e10),h9(e10))
| ~ spl42_28
| ~ spl42_36
| ~ spl42_90
| spl42_266 ),
inference(forward_demodulation,[],[f3840,f3771]) ).
fof(f6074,plain,
( e21 != op2(e21,e21)
| ~ spl42_28
| ~ spl42_36
| ~ spl42_90
| spl42_266
| ~ spl42_269 ),
inference(superposition,[],[f6004,f5632]) ).
fof(f6075,plain,
( e21 != h9(e10)
| ~ spl42_28
| ~ spl42_36
| ~ spl42_90
| spl42_266
| ~ spl42_269 ),
inference(forward_demodulation,[],[f6074,f2954]) ).
fof(f6076,plain,
( $false
| ~ spl42_28
| ~ spl42_36
| ~ spl42_90
| spl42_266
| ~ spl42_269 ),
inference(forward_subsumption_resolution,[],[f6075,f5632]) ).
fof(f6077,plain,
( ~ spl42_28
| ~ spl42_36
| ~ spl42_90
| spl42_266
| ~ spl42_269 ),
inference(avatar_contradiction_clause,[],[f6076]) ).
fof(f6079,plain,
( h9(e10) = op2(h9(e10),h9(e10))
| ~ spl42_28
| ~ spl42_36
| ~ spl42_90
| ~ spl42_266 ),
inference(forward_demodulation,[],[f3839,f3771]) ).
fof(f6081,plain,
( e21 = op2(e21,e21)
| ~ spl42_28
| ~ spl42_36
| ~ spl42_90
| ~ spl42_266
| ~ spl42_269 ),
inference(forward_demodulation,[],[f6079,f5632]) ).
fof(f6089,plain,
( e20 != op2(e21,e20)
| ~ spl42_187
| ~ spl42_190
| ~ spl42_249 ),
inference(superposition,[],[f307,f4410]) ).
fof(f6095,plain,
( e20 != h1(e13)
| ~ spl42_187
| ~ spl42_190
| ~ spl42_249 ),
inference(forward_demodulation,[],[f6089,f404]) ).
fof(f6270,plain,
( e20 = h1(e13)
| e21 = op2(e21,e20)
| e22 = op2(e21,e20)
| e23 = op2(e21,e20) ),
inference(forward_demodulation,[],[f175,f404]) ).
fof(f6271,plain,
( e21 = op2(e21,e20)
| e22 = op2(e21,e20)
| e23 = op2(e21,e20)
| spl42_218 ),
inference(forward_subsumption_resolution,[],[f6270,f2349]) ).
fof(f6272,plain,
( e21 = h1(e13)
| e22 = op2(e21,e20)
| e23 = op2(e21,e20)
| spl42_218 ),
inference(forward_demodulation,[],[f6271,f404]) ).
fof(f6273,plain,
( e22 = op2(e21,e20)
| e23 = op2(e21,e20)
| spl42_218
| spl42_252
| ~ spl42_253 ),
inference(forward_subsumption_resolution,[],[f6272,f5778]) ).
fof(f6274,plain,
( e22 = h1(e13)
| e23 = op2(e21,e20)
| spl42_218
| spl42_252
| ~ spl42_253 ),
inference(forward_demodulation,[],[f6273,f404]) ).
fof(f6275,plain,
( e23 = op2(e21,e20)
| spl42_2
| spl42_218
| spl42_252
| ~ spl42_253 ),
inference(forward_subsumption_resolution,[],[f6274,f658]) ).
fof(f6279,plain,
( e23 != op2(e21,e22)
| spl42_2
| spl42_218
| spl42_252
| ~ spl42_253 ),
inference(superposition,[],[f276,f6275]) ).
fof(f6280,plain,
( $false
| spl42_2
| ~ spl42_36
| spl42_218
| spl42_252
| ~ spl42_253 ),
inference(forward_subsumption_resolution,[],[f6279,f3765]) ).
fof(f6281,plain,
( spl42_2
| ~ spl42_36
| spl42_218
| spl42_252
| ~ spl42_253 ),
inference(avatar_contradiction_clause,[],[f6280]) ).
fof(f6292,plain,
( ~ spl42_218
| ~ spl42_187
| ~ spl42_190
| ~ spl42_249 ),
inference(avatar_split_clause,[],[f6095,f3474,f2082,f2070,f2347]) ).
fof(f6293,plain,
( e21 = op2(e21,e20)
| ~ spl42_252
| ~ spl42_253 ),
inference(forward_demodulation,[],[f3736,f3740]) ).
fof(f6300,plain,
( e21 != op2(e21,e21)
| ~ spl42_252
| ~ spl42_253 ),
inference(superposition,[],[f277,f6293]) ).
fof(f6303,plain,
( $false
| ~ spl42_28
| ~ spl42_36
| ~ spl42_90
| ~ spl42_252
| ~ spl42_253
| ~ spl42_266
| ~ spl42_269 ),
inference(forward_subsumption_resolution,[],[f6300,f6081]) ).
fof(f6304,plain,
( ~ spl42_28
| ~ spl42_36
| ~ spl42_90
| ~ spl42_252
| ~ spl42_253
| ~ spl42_266
| ~ spl42_269 ),
inference(avatar_contradiction_clause,[],[f6303]) ).
fof(f6309,plain,
( op2(e20,e20) != h10(op1(e10,e10))
| ~ spl42_74
| spl42_77 ),
inference(forward_demodulation,[],[f1039,f2979]) ).
fof(f6313,plain,
( op2(e20,e20) != h10(e10)
| ~ spl42_74
| spl42_77
| ~ spl42_249 ),
inference(forward_demodulation,[],[f6309,f3476]) ).
fof(f6317,plain,
( e20 != op2(e20,e20)
| ~ spl42_74
| spl42_77
| ~ spl42_249 ),
inference(forward_demodulation,[],[f6313,f2979]) ).
fof(f6324,plain,
( e20 = op2(e20,e20)
| ~ spl42_28
| ~ spl42_218
| spl42_236 ),
inference(superposition,[],[f5602,f2348]) ).
fof(f6326,plain,
( $false
| ~ spl42_28
| ~ spl42_74
| spl42_77
| ~ spl42_218
| spl42_236
| ~ spl42_249 ),
inference(forward_subsumption_resolution,[],[f6324,f6317]) ).
fof(f6327,plain,
( ~ spl42_28
| ~ spl42_74
| spl42_77
| ~ spl42_218
| spl42_236
| ~ spl42_249 ),
inference(avatar_contradiction_clause,[],[f6326]) ).
fof(f6342,plain,
( e21 = op2(e21,e20)
| ~ spl42_252
| ~ spl42_253 ),
inference(forward_demodulation,[],[f3736,f3740]) ).
fof(f6636,plain,
( op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23
| ~ spl42_74
| spl42_77
| ~ spl42_249 ),
inference(forward_subsumption_resolution,[],[f179,f6317]) ).
fof(f6637,plain,
( op2(e20,e20) = e21
| op2(e20,e20) = e22
| ~ spl42_74
| spl42_77
| ~ spl42_249 ),
inference(forward_subsumption_resolution,[],[f6636,f2566]) ).
fof(f6639,definition,
( spl42_275
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[spl42_275])],[avatar_definition]) ).
fof(f6641,plain,
( op2(e20,e20) = e22
| ~ spl42_275 ),
inference(avatar_component_clause,[],[f6639]) ).
fof(f6643,definition,
( spl42_276
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[spl42_276])],[avatar_definition]) ).
fof(f6645,plain,
( op2(e20,e20) = e21
| ~ spl42_276 ),
inference(avatar_component_clause,[],[f6643]) ).
fof(f6646,plain,
( spl42_275
| spl42_276
| ~ spl42_74
| spl42_77
| ~ spl42_249 ),
inference(avatar_split_clause,[],[f6637,f3474,f1037,f1025,f6643,f6639]) ).
fof(f6651,plain,
( e20 = op2(e22,e20)
| ~ spl42_275 ),
inference(superposition,[],[f399,f6641]) ).
fof(f6658,plain,
( e20 = e22
| ~ spl42_34
| ~ spl42_56
| ~ spl42_253
| ~ spl42_275 ),
inference(forward_demodulation,[],[f6651,f4976]) ).
fof(f6665,plain,
( $false
| ~ spl42_34
| ~ spl42_56
| ~ spl42_253
| ~ spl42_275 ),
inference(forward_subsumption_resolution,[],[f6658,f318]) ).
fof(f6666,plain,
( ~ spl42_34
| ~ spl42_56
| ~ spl42_253
| ~ spl42_275 ),
inference(avatar_contradiction_clause,[],[f6665]) ).
fof(f6671,plain,
( e20 = op2(e21,e20)
| ~ spl42_276 ),
inference(superposition,[],[f399,f6645]) ).
fof(f6679,plain,
( e20 = e21
| ~ spl42_252
| ~ spl42_253
| ~ spl42_276 ),
inference(forward_demodulation,[],[f6671,f6342]) ).
fof(f6686,plain,
( $false
| ~ spl42_252
| ~ spl42_253
| ~ spl42_276 ),
inference(forward_subsumption_resolution,[],[f6679,f319]) ).
fof(f6687,plain,
( ~ spl42_252
| ~ spl42_253
| ~ spl42_276 ),
inference(avatar_contradiction_clause,[],[f6686]) ).
cnf(s653,plain,
( ~ spl42_27
| ~ spl42_28 ),
inference(sat_conversion,[],[f786]) ).
cnf(s860,plain,
( spl42_27
| ~ spl42_90
| ~ spl42_91
| ~ spl42_92
| ~ spl42_93
| ~ spl42_94
| ~ spl42_95
| ~ spl42_96
| ~ spl42_97
| ~ spl42_98
| ~ spl42_99
| ~ spl42_100
| ~ spl42_101
| ~ spl42_102
| ~ spl42_103
| ~ spl42_104
| ~ spl42_105 ),
inference(sat_conversion,[],[f1251]) ).
cnf(s1115,plain,
spl42_28,
inference(sat_conversion,[],[f2483]) ).
cnf(s1126,plain,
( ~ spl42_28
| spl42_34 ),
inference(sat_conversion,[],[f2502]) ).
cnf(s1140,plain,
( ~ spl42_2
| ~ spl42_28 ),
inference(sat_conversion,[],[f2504]) ).
cnf(s1149,plain,
spl42_217,
inference(sat_conversion,[],[f2511]) ).
cnf(s1166,plain,
spl42_185,
inference(sat_conversion,[],[f2520]) ).
cnf(s1242,plain,
( ~ spl42_236
| spl42_237 ),
inference(sat_conversion,[],[f2625]) ).
cnf(s1261,plain,
spl42_187,
inference(sat_conversion,[],[f2711]) ).
cnf(s1304,plain,
( ~ spl42_28
| spl42_90 ),
inference(sat_conversion,[],[f2951]) ).
cnf(s1325,plain,
spl42_74,
inference(sat_conversion,[],[f2970]) ).
cnf(s1338,plain,
( ~ spl42_34
| spl42_56 ),
inference(sat_conversion,[],[f3097]) ).
cnf(s1388,plain,
( ~ spl42_34
| ~ spl42_36
| spl42_58 ),
inference(sat_conversion,[],[f3335]) ).
cnf(s1400,plain,
( spl42_238
| spl42_239
| spl42_240 ),
inference(sat_conversion,[],[f3362]) ).
cnf(s1405,plain,
~ spl42_238,
inference(sat_conversion,[],[f3373]) ).
cnf(s1412,plain,
( spl42_241
| spl42_242 ),
inference(sat_conversion,[],[f3390]) ).
cnf(s1417,plain,
( ~ spl42_239
| ~ spl42_241 ),
inference(sat_conversion,[],[f3403]) ).
cnf(s1428,plain,
( spl42_243
| spl42_244 ),
inference(sat_conversion,[],[f3428]) ).
cnf(s1433,plain,
( spl42_245
| spl42_246 ),
inference(sat_conversion,[],[f3442]) ).
cnf(s1438,plain,
( ~ spl42_243
| ~ spl42_245 ),
inference(sat_conversion,[],[f3453]) ).
cnf(s1449,plain,
( spl42_247
| spl42_248
| spl42_249 ),
inference(sat_conversion,[],[f3477]) ).
cnf(s1482,plain,
~ spl42_247,
inference(sat_conversion,[],[f3540]) ).
cnf(s1537,plain,
~ spl42_248,
inference(sat_conversion,[],[f3621]) ).
cnf(s1545,plain,
( ~ spl42_246
| ~ spl42_249 ),
inference(sat_conversion,[],[f3639]) ).
cnf(s1584,plain,
( ~ spl42_20
| spl42_36 ),
inference(sat_conversion,[],[f3698]) ).
cnf(s1596,plain,
( ~ spl42_6
| ~ spl42_20 ),
inference(sat_conversion,[],[f3759]) ).
cnf(s1611,plain,
( spl42_26
| ~ spl42_36 ),
inference(sat_conversion,[],[f3851]) ).
cnf(s1622,plain,
( ~ spl42_26
| spl42_122 ),
inference(sat_conversion,[],[f3861]) ).
cnf(s1671,plain,
spl42_20,
inference(sat_conversion,[],[f3974]) ).
cnf(s1689,plain,
( ~ spl42_34
| ~ spl42_56
| spl42_253
| spl42_268 ),
inference(sat_conversion,[],[f3996]) ).
cnf(s1708,plain,
( spl42_6
| ~ spl42_34
| ~ spl42_56
| spl42_202
| ~ spl42_268 ),
inference(sat_conversion,[],[f4067]) ).
cnf(s1712,plain,
( ~ spl42_28
| ~ spl42_74
| spl42_77
| spl42_186
| ~ spl42_202
| spl42_236
| ~ spl42_249 ),
inference(sat_conversion,[],[f4081]) ).
cnf(s1727,plain,
( ~ spl42_74
| ~ spl42_77
| spl42_110
| ~ spl42_122
| ~ spl42_249 ),
inference(sat_conversion,[],[f4126]) ).
cnf(s1745,plain,
( ~ spl42_74
| ~ spl42_77
| spl42_79
| ~ spl42_240
| ~ spl42_249 ),
inference(sat_conversion,[],[f4370]) ).
cnf(s1749,plain,
( ~ spl42_74
| ~ spl42_77
| ~ spl42_187
| spl42_190
| ~ spl42_249 ),
inference(sat_conversion,[],[f4375]) ).
cnf(s1772,plain,
~ spl42_186,
inference(sat_conversion,[],[f4444]) ).
cnf(s1788,plain,
( ~ spl42_110
| ~ spl42_122
| ~ spl42_202
| ~ spl42_249 ),
inference(sat_conversion,[],[f4495]) ).
cnf(s1933,plain,
( ~ spl42_20
| ~ spl42_36
| ~ spl42_237 ),
inference(sat_conversion,[],[f5619]) ).
cnf(s1936,plain,
( ~ spl42_28
| ~ spl42_90
| spl42_105
| spl42_269 ),
inference(sat_conversion,[],[f5633]) ).
cnf(s1941,plain,
( ~ spl42_28
| ~ spl42_90
| spl42_91
| ~ spl42_269 ),
inference(sat_conversion,[],[f5644]) ).
cnf(s1947,plain,
( ~ spl42_28
| ~ spl42_90
| spl42_92 ),
inference(sat_conversion,[],[f5661]) ).
cnf(s1954,plain,
( ~ spl42_74
| ~ spl42_79
| spl42_93
| ~ spl42_105
| ~ spl42_240
| ~ spl42_249 ),
inference(sat_conversion,[],[f5677]) ).
cnf(s1957,plain,
spl42_104,
inference(sat_conversion,[],[f5685]) ).
cnf(s1958,plain,
( ~ spl42_34
| ~ spl42_56
| spl42_94
| ~ spl42_105
| ~ spl42_244
| ~ spl42_253 ),
inference(sat_conversion,[],[f5692]) ).
cnf(s1959,plain,
( ~ spl42_28
| ~ spl42_36
| spl42_103 ),
inference(sat_conversion,[],[f5700]) ).
cnf(s1960,plain,
( spl42_95
| ~ spl42_105
| ~ spl42_240 ),
inference(sat_conversion,[],[f5708]) ).
cnf(s1961,plain,
( ~ spl42_26
| ~ spl42_28
| spl42_102 ),
inference(sat_conversion,[],[f5716]) ).
cnf(s1962,plain,
( ~ spl42_34
| ~ spl42_56
| spl42_96
| ~ spl42_105
| ~ spl42_245
| ~ spl42_253 ),
inference(sat_conversion,[],[f5724]) ).
cnf(s1963,plain,
( spl42_101
| ~ spl42_105
| ~ spl42_240 ),
inference(sat_conversion,[],[f5731]) ).
cnf(s1964,plain,
( ~ spl42_34
| ~ spl42_56
| spl42_97
| ~ spl42_105
| ~ spl42_217
| ~ spl42_244
| ~ spl42_253 ),
inference(sat_conversion,[],[f5737]) ).
cnf(s1965,plain,
( spl42_100
| ~ spl42_105
| ~ spl42_241 ),
inference(sat_conversion,[],[f5744]) ).
cnf(s1966,plain,
( ~ spl42_28
| ~ spl42_34
| ~ spl42_58
| spl42_98 ),
inference(sat_conversion,[],[f5750]) ).
cnf(s1967,plain,
( ~ spl42_28
| spl42_99 ),
inference(sat_conversion,[],[f5758]) ).
cnf(s2011,plain,
( ~ spl42_28
| ~ spl42_90
| spl42_91
| ~ spl42_105
| ~ spl42_185 ),
inference(sat_conversion,[],[f5918]) ).
cnf(s2063,plain,
( ~ spl42_242
| ~ spl42_249 ),
inference(sat_conversion,[],[f6002]) ).
cnf(s2098,plain,
( ~ spl42_28
| ~ spl42_36
| ~ spl42_90
| spl42_266
| ~ spl42_269 ),
inference(sat_conversion,[],[f6077]) ).
cnf(s2155,plain,
( spl42_2
| ~ spl42_36
| spl42_218
| spl42_252
| ~ spl42_253 ),
inference(sat_conversion,[],[f6281]) ).
cnf(s2162,plain,
( ~ spl42_187
| ~ spl42_190
| ~ spl42_218
| ~ spl42_249 ),
inference(sat_conversion,[],[f6292]) ).
cnf(s2175,plain,
( ~ spl42_28
| ~ spl42_36
| ~ spl42_90
| ~ spl42_252
| ~ spl42_253
| ~ spl42_266
| ~ spl42_269 ),
inference(sat_conversion,[],[f6304]) ).
cnf(s2191,plain,
( ~ spl42_28
| ~ spl42_74
| spl42_77
| ~ spl42_218
| spl42_236
| ~ spl42_249 ),
inference(sat_conversion,[],[f6327]) ).
cnf(s2304,plain,
( ~ spl42_74
| spl42_77
| ~ spl42_249
| spl42_275
| spl42_276 ),
inference(sat_conversion,[],[f6646]) ).
cnf(s2309,plain,
( ~ spl42_34
| ~ spl42_56
| ~ spl42_253
| ~ spl42_275 ),
inference(sat_conversion,[],[f6666]) ).
cnf(s2316,plain,
( ~ spl42_252
| ~ spl42_253
| ~ spl42_276 ),
inference(sat_conversion,[],[f6687]) ).
cnf(s2317,plain,
( ~ spl42_28
| ~ spl42_74
| spl42_77
| ~ spl42_202
| spl42_236
| ~ spl42_249 ),
inference(rat,[],[s1712,s1772]) ).
cnf(s2327,plain,
~ spl42_6,
inference(rat,[],[s1596,s1671]) ).
cnf(s2329,plain,
spl42_36,
inference(rat,[],[s1584,s1671]) ).
cnf(s2331,plain,
~ spl42_237,
inference(rat,[],[s1933,s1671,s2329]) ).
cnf(s2332,plain,
spl42_26,
inference(rat,[],[s1611,s2329]) ).
cnf(s2335,plain,
spl42_122,
inference(rat,[],[s1622,s2332]) ).
cnf(s2339,plain,
spl42_249,
inference(rat,[],[s1449,s1537,s1482]) ).
cnf(s2340,plain,
~ spl42_242,
inference(rat,[],[s2063,s2339]) ).
cnf(s2341,plain,
~ spl42_246,
inference(rat,[],[s1545,s2339]) ).
cnf(s2342,plain,
spl42_245,
inference(rat,[],[s1433,s2341]) ).
cnf(s2343,plain,
~ spl42_243,
inference(rat,[],[s1438,s2342]) ).
cnf(s2344,plain,
spl42_244,
inference(rat,[],[s1428,s2343]) ).
cnf(s2345,plain,
spl42_241,
inference(rat,[],[s1412,s2340]) ).
cnf(s2346,plain,
~ spl42_239,
inference(rat,[],[s1417,s2345]) ).
cnf(s2347,plain,
spl42_240,
inference(rat,[],[s1400,s2346,s1405]) ).
cnf(s2348,plain,
( ~ spl42_34
| spl42_58 ),
inference(rat,[],[s1388,s2329]) ).
cnf(s2356,plain,
~ spl42_236,
inference(rat,[],[s1242,s2331]) ).
cnf(s2357,plain,
spl42_99,
inference(rat,[],[s1967,s1115]) ).
cnf(s2358,plain,
spl42_102,
inference(rat,[],[s1961,s2332,s1115]) ).
cnf(s2359,plain,
spl42_103,
inference(rat,[],[s1959,s2329,s1115]) ).
cnf(s2362,plain,
spl42_90,
inference(rat,[],[s1304,s1115]) ).
cnf(s2363,plain,
~ spl42_2,
inference(rat,[],[s1140,s1115]) ).
cnf(s2365,plain,
spl42_34,
inference(rat,[],[s1126,s1115]) ).
cnf(s2366,plain,
spl42_92,
inference(rat,[],[s1947,s1115,s2362]) ).
cnf(s2368,plain,
spl42_58,
inference(rat,[],[s2348,s2365]) ).
cnf(s2370,plain,
spl42_56,
inference(rat,[],[s1338,s2365]) ).
cnf(s2372,plain,
spl42_98,
inference(rat,[],[s1966,s2365,s1115,s2368]) ).
cnf(s2389,plain,
( spl42_27
| ~ spl42_91
| ~ spl42_93
| ~ spl42_94
| ~ spl42_95
| ~ spl42_96
| ~ spl42_97
| ~ spl42_100
| ~ spl42_101
| ~ spl42_105 ),
inference(rat,[],[s860,s1957,s2359,s2358,s2357,s2372,s2366,s2362]) ).
cnf(s2399,plain,
~ spl42_27,
inference(rat,[],[s653,s1115]) ).
cnf(s2403,plain,
spl42_77,
inference(rat,[],[s2316,s2304,s2155,s2309,s1689,s1708,s2317,s2191,s2339,s1325,s2329,s2363,s2365,s2370,s2327,s1115,s2356]) ).
cnf(s2404,plain,
spl42_190,
inference(rat,[],[s1749,s2339,s1261,s1325,s2403]) ).
cnf(s2405,plain,
spl42_79,
inference(rat,[],[s1745,s2339,s2347,s1325,s2403]) ).
cnf(s2406,plain,
spl42_110,
inference(rat,[],[s1727,s2339,s2335,s1325,s2403]) ).
cnf(s2407,plain,
~ spl42_218,
inference(rat,[],[s2162,s2339,s1261,s2404]) ).
cnf(s2409,plain,
~ spl42_202,
inference(rat,[],[s1788,s2339,s2335,s2406]) ).
cnf(s2411,plain,
~ spl42_268,
inference(rat,[],[s1708,s2370,s2365,s2327,s2409]) ).
cnf(s2412,plain,
spl42_253,
inference(rat,[],[s1689,s2370,s2365,s2411]) ).
cnf(s2429,plain,
spl42_252,
inference(rat,[],[s2155,s2407,s2363,s2329,s2412]) ).
cnf(s2438,plain,
spl42_91,
inference(rat,[],[s1936,s1941,s2011,s1115,s2362,s1166]) ).
cnf(s2439,plain,
~ spl42_269,
inference(rat,[],[s2175,s2098,s2329,s1115,s2362,s2412,s2429]) ).
cnf(s2440,plain,
spl42_105,
inference(rat,[],[s1936,s2362,s1115,s2439]) ).
cnf(s2442,plain,
spl42_100,
inference(rat,[],[s1965,s2345,s2440]) ).
cnf(s2443,plain,
spl42_101,
inference(rat,[],[s1963,s2347,s2440]) ).
cnf(s2444,plain,
spl42_95,
inference(rat,[],[s1960,s2347,s2440]) ).
cnf(s2458,plain,
spl42_97,
inference(rat,[],[s1964,s2412,s2344,s1149,s2370,s2365,s2440]) ).
cnf(s2459,plain,
spl42_96,
inference(rat,[],[s1962,s2412,s2342,s2370,s2365,s2440]) ).
cnf(s2460,plain,
spl42_94,
inference(rat,[],[s1958,s2412,s2344,s2370,s2365,s2440]) ).
cnf(s2461,plain,
spl42_93,
inference(rat,[],[s1954,s2339,s2347,s2405,s1325,s2440]) ).
cnf(s2462,plain,
$false,
inference(rat,[],[s2389,s2440,s2443,s2442,s2458,s2460,s2461,s2438,s2399,s2459,s2444]) ).
fof(f6688,plain,
$false,
inference(avatar_sat_refutation,[],[s2462]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG105+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:27:47 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.11/0.39 % (1071333)Will run a generic schedule for satisfiability detection.
% 1.11/0.39 % (1071340)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1799023663:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.11/0.39 % (1071339)% WARNING: option uhcvi not known.
% 1.11/0.39 % (1071338)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3804006486_2999 on theBenchmark for (2999ds/0Mi)
% 1.11/0.39 % (1071339)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=956668092:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.11/0.39 % (1071342)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3723471271:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.11/0.39 % (1071341)dis+10_1_sil=32000:sp=arity:random_seed=2290890786:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.11/0.39 % (1071344)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=202187682:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.11/0.39 % (1071343)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1937699767:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.11/0.39 % (1071342)Instruction limit reached!
% 1.11/0.39 % (1071342)------------------------------
% 1.11/0.39 % (1071342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.39 % (1071342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.39 % (1071342)CaDiCaL version: 2.1.3
% 1.11/0.39 % (1071342)Termination reason: Instruction limit
% 1.11/0.39 % (1071342)Termination phase: Saturation
% 1.11/0.39 % (1071342)Time elapsed: 0.049 s
% 1.11/0.39 % (1071342)Peak memory usage: 14 MB
% 1.11/0.39 % (1071342)Instructions burned: 117 (million)
% 1.11/0.39 % (1071341)Instruction limit reached!
% 1.11/0.39 % (1071341)------------------------------
% 1.11/0.39 % (1071341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.39 % (1071341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.39 % (1071341)CaDiCaL version: 2.1.3
% 1.11/0.39 % (1071341)Termination reason: Instruction limit
% 1.11/0.39 % (1071341)Termination phase: Saturation
% 1.11/0.39 % (1071341)Time elapsed: 0.050 s
% 1.11/0.39 % (1071341)Peak memory usage: 13 MB
% 1.11/0.39 % (1071341)Instructions burned: 105 (million)
% 1.11/0.39 % (1071343)Instruction limit reached!
% 1.11/0.39 % (1071343)------------------------------
% 1.11/0.39 % (1071343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.39 % (1071343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.39 % (1071343)CaDiCaL version: 2.1.3
% 1.11/0.39 % (1071343)Termination reason: Instruction limit
% 1.11/0.39 % (1071343)Termination phase: Saturation
% 1.11/0.39 % (1071343)Time elapsed: 0.059 s
% 1.11/0.39 % (1071343)Peak memory usage: 14 MB
% 1.11/0.39 % (1071343)Instructions burned: 131 (million)
% 1.11/0.39 % (1071352)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=903182980:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.11/0.39 % (1071353)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2735354220:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.11/0.39 % Detected minimum model sizes of [8]
% 1.11/0.39 % Detected maximum model sizes of [max]
% 1.11/0.39 % TRYING [8]
% 1.11/0.39 % (1071354)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1877742930:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.11/0.39 % (1071344)Instruction limit reached!
% 1.11/0.39 % (1071344)------------------------------
% 1.11/0.39 % (1071344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.39 % (1071344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.39 % (1071344)CaDiCaL version: 2.1.3
% 1.11/0.39 % (1071344)Termination reason: Instruction limit
% 1.11/0.39 % (1071344)Termination phase: Saturation
% 1.11/0.39 % (1071344)Time elapsed: 0.082 s
% 1.11/0.39 % (1071344)Peak memory usage: 14 MB
% 1.11/0.39 % (1071344)Instructions burned: 161 (million)
% 1.11/0.39 % (1071358)ott-21_1_sil=16000:fs=off:random_seed=3830075982:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.11/0.39 % (1071340) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1071333-1071340"...
% 1.11/0.39 % Detected minimum model sizes of [8]
% 1.11/0.39 % Detected maximum model sizes of [max]
% 1.11/0.39 % TRYING [8]
% 1.11/0.39 % (1071340)...printing done.
% 1.11/0.39 % (1071340)Refutation found. Thanks to Tanya!
% 1.11/0.39 % SZS status Theorem for theBenchmark
% 1.11/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 1.11/0.40 % (1071340)------------------------------
% 1.11/0.40 % (1071340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.11/0.40 % (1071340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.40 % (1071340)CaDiCaL version: 2.1.3
% 1.11/0.40 % (1071340)Termination reason: Refutation
% 1.11/0.40 % (1071340)Time elapsed: 0.132 s
% 1.11/0.40 % (1071340)Peak memory usage: 16 MB
% 1.11/0.40 % (1071340)Instructions burned: 573 (million)
% 1.11/0.40 % (1071333)Success in time 0.17 s
% 1.11/0.40 % Vampire exiting
%------------------------------------------------------------------------------