%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG082+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 09:09:31 AM UTC 2026
% Result : Theorem 3.21s 1.10s
% Output : Refutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 55
% Syntax : Number of formulae : 881 ( 100 unt; 50 def)
% Number of atoms : 2802 ( 990 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 3365 (1444 ~;1529 |; 340 &)
% ( 50 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 52 ( 50 usr; 51 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e10,e14) = e14
& op1(e11,e10) = e11
& op1(e11,e11) = e14
& op1(e11,e12) = e10
& op1(e11,e13) = e12
& op1(e11,e14) = e13
& op1(e12,e10) = e12
& op1(e12,e11) = e10
& op1(e12,e12) = e13
& op1(e12,e13) = e14
& op1(e12,e14) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e14
& op1(e13,e13) = e11
& op1(e13,e14) = e10
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e10
& op1(e14,e14) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e20,e24) = e24
& op2(e21,e20) = e21
& op2(e21,e21) = e24
& op2(e21,e22) = e23
& op2(e21,e23) = e20
& op2(e21,e24) = e22
& op2(e22,e20) = e22
& op2(e22,e21) = e20
& op2(e22,e22) = e24
& op2(e22,e23) = e21
& op2(e22,e24) = e23
& op2(e23,e20) = e23
& op2(e23,e21) = e22
& op2(e23,e22) = e20
& op2(e23,e23) = e24
& op2(e23,e24) = e21
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e21
& op2(e24,e23) = e22
& op2(e24,e24) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( e10 = j(e24)
| e11 = j(e24)
| e12 = j(e24)
| e13 = j(e24)
| e14 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f11,plain,
( e10 = j(e23)
| e11 = j(e23)
| e12 = j(e23)
| e13 = j(e23)
| e14 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
fof(f12,plain,
( e10 = j(e22)
| e11 = j(e22)
| e12 = j(e22)
| e13 = j(e22)
| e14 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
fof(f13,plain,
( e10 = j(e21)
| e11 = j(e21)
| e12 = j(e21)
| e13 = j(e21)
| e14 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f14,plain,
( e10 = j(e20)
| e11 = j(e20)
| e12 = j(e20)
| e13 = j(e20)
| e14 = j(e20) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
( e20 = h(e14)
| e21 = h(e14)
| e22 = h(e14)
| e23 = h(e14)
| e24 = h(e14) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
( e20 = h(e13)
| e21 = h(e13)
| e22 = h(e13)
| e23 = h(e13)
| e24 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
( e20 = h(e12)
| e21 = h(e12)
| e22 = h(e12)
| e23 = h(e12)
| e24 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
( e20 = h(e11)
| e21 = h(e11)
| e22 = h(e11)
| e23 = h(e11)
| e24 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
( e20 = h(e10)
| e21 = h(e10)
| e22 = h(e10)
| e23 = h(e10)
| e24 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f21,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f24,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f32,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f80,plain,
e20 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e22 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
e21 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
e23 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
e24 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
e12 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f106,plain,
e10 = op1(e14,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f107,plain,
e11 = op1(e14,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f108,plain,
e13 = op1(e14,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f110,plain,
e10 = op1(e13,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f111,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f113,plain,
e12 = op1(e13,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f117,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f118,plain,
e10 = op1(e12,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f119,plain,
e12 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f120,plain,
e13 = op1(e11,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f121,plain,
e12 = op1(e11,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f122,plain,
e10 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f123,plain,
e14 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f124,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f129,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f156,plain,
e22 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f158,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f159,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f161,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f162,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f164,plain,
e20 != e21,
inference(cnf_transformation,[],[f2]) ).
fof(f165,plain,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f166,plain,
e12 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f167,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f168,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f169,plain,
e11 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f170,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f171,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f172,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f173,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f174,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f176,definition,
( spl0_1
<=> e14 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f177,plain,
( e14 != j(e24)
| spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( e14 = j(e24)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl0_2
<=> e13 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f182,plain,
( e13 = j(e24)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl0_3
<=> e12 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f186,plain,
( e12 = j(e24)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl0_4
<=> e11 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f190,plain,
( e11 = j(e24)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl0_5
<=> e10 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f194,plain,
( e10 = j(e24)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f192,f188,f184,f180,f176]) ).
fof(f197,definition,
( spl0_6
<=> e14 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f198,plain,
( e14 != j(e23)
| spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f199,plain,
( e14 = j(e23)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl0_7
<=> e13 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f203,plain,
( e13 = j(e23)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl0_8
<=> e12 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f207,plain,
( e12 = j(e23)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_9
<=> e11 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f211,plain,
( e11 = j(e23)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_10
<=> e10 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f215,plain,
( e10 = j(e23)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f213,f209,f205,f201,f197]) ).
fof(f218,definition,
( spl0_11
<=> e14 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f219,plain,
( e14 != j(e22)
| spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( e14 = j(e22)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_12
<=> e13 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f224,plain,
( e13 = j(e22)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl0_13
<=> e12 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f227,plain,
( e12 != j(e22)
| spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( e12 = j(e22)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl0_14
<=> e11 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f232,plain,
( e11 = j(e22)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl0_15
<=> e10 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f236,plain,
( e10 = j(e22)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f12,f234,f230,f226,f222,f218]) ).
fof(f239,definition,
( spl0_16
<=> e14 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f240,plain,
( e14 != j(e21)
| spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f241,plain,
( e14 = j(e21)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f243,definition,
( spl0_17
<=> e13 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f245,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl0_18
<=> e12 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f248,plain,
( e12 != j(e21)
| spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f249,plain,
( e12 = j(e21)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl0_19
<=> e11 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f253,plain,
( e11 = j(e21)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_20
<=> e10 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f257,plain,
( e10 = j(e21)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f13,f255,f251,f247,f243,f239]) ).
fof(f260,definition,
( spl0_21
<=> e14 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f261,plain,
( e14 != j(e20)
| spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( e14 = j(e20)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl0_22
<=> e13 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f265,plain,
( e13 != j(e20)
| spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( e13 = j(e20)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_23
<=> e12 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f270,plain,
( e12 = j(e20)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_24
<=> e11 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f274,plain,
( e11 = j(e20)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl0_25
<=> e10 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f278,plain,
( e10 = j(e20)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f14,f276,f272,f268,f264,f260]) ).
fof(f281,definition,
( spl0_26
<=> e24 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f283,plain,
( e24 = h(e14)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl0_27
<=> e23 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f287,plain,
( e23 = h(e14)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f289,definition,
( spl0_28
<=> e22 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f291,plain,
( e22 = h(e14)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,definition,
( spl0_29
<=> e21 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f295,plain,
( e21 = h(e14)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl0_30
<=> e20 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f299,plain,
( e20 = h(e14)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f15,f297,f293,f289,f285,f281]) ).
fof(f302,definition,
( spl0_31
<=> e24 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f304,plain,
( e24 = h(e13)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl0_32
<=> e23 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f308,plain,
( e23 = h(e13)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl0_33
<=> e22 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f312,plain,
( e22 = h(e13)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl0_34
<=> e21 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f316,plain,
( e21 = h(e13)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl0_35
<=> e20 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f320,plain,
( e20 = h(e13)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f16,f318,f314,f310,f306,f302]) ).
fof(f323,definition,
( spl0_36
<=> e24 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f325,plain,
( e24 = h(e12)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl0_37
<=> e23 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f329,plain,
( e23 = h(e12)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl0_38
<=> e22 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f333,plain,
( e22 = h(e12)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl0_39
<=> e21 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f337,plain,
( e21 = h(e12)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl0_40
<=> e20 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f341,plain,
( e20 = h(e12)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f17,f339,f335,f331,f327,f323]) ).
fof(f344,definition,
( spl0_41
<=> e24 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f346,plain,
( e24 = h(e11)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f348,definition,
( spl0_42
<=> e23 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f350,plain,
( e23 = h(e11)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f352,definition,
( spl0_43
<=> e22 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f354,plain,
( e22 = h(e11)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f356,definition,
( spl0_44
<=> e21 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f358,plain,
( e21 = h(e11)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl0_45
<=> e20 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f362,plain,
( e20 = h(e11)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f18,f360,f356,f352,f348,f344]) ).
fof(f365,definition,
( spl0_46
<=> e24 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f367,plain,
( e24 = h(e10)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl0_47
<=> e23 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f371,plain,
( e23 = h(e10)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f373,definition,
( spl0_48
<=> e22 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f375,plain,
( e22 = h(e10)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f377,definition,
( spl0_49
<=> e21 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f379,plain,
( e21 = h(e10)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f381,definition,
( spl0_50
<=> e20 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f383,plain,
( e20 = h(e10)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f384,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f19,f381,f377,f373,f369,f365]) ).
fof(f385,plain,
j(e20) = op1(j(e24),j(e24)),
inference(forward_demodulation,[],[f30,f80]) ).
fof(f386,plain,
j(e22) = op1(j(e24),j(e23)),
inference(forward_demodulation,[],[f31,f81]) ).
fof(f387,plain,
j(e21) = op1(j(e24),j(e22)),
inference(forward_demodulation,[],[f32,f82]) ).
fof(f388,plain,
j(e23) = op1(j(e24),j(e21)),
inference(forward_demodulation,[],[f33,f83]) ).
fof(f389,plain,
j(e24) = op1(j(e24),j(e20)),
inference(forward_demodulation,[],[f34,f84]) ).
fof(f435,plain,
( e14 = j(e24)
| ~ spl0_26 ),
inference(superposition,[],[f20,f283]) ).
fof(f436,plain,
( e13 = e14
| ~ spl0_2
| ~ spl0_26 ),
inference(forward_demodulation,[],[f435,f182]) ).
fof(f437,plain,
( $false
| ~ spl0_2
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f436,f165]) ).
fof(f438,plain,
( ~ spl0_2
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f440,plain,
( e14 = j(e23)
| ~ spl0_27 ),
inference(superposition,[],[f20,f287]) ).
fof(f441,plain,
( e13 = j(e24)
| ~ spl0_31 ),
inference(superposition,[],[f21,f304]) ).
fof(f442,plain,
( e12 = j(e24)
| ~ spl0_36 ),
inference(superposition,[],[f22,f325]) ).
fof(f443,plain,
( spl0_3
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f442,f323,f184]) ).
fof(f445,plain,
( e12 = j(e23)
| ~ spl0_37 ),
inference(superposition,[],[f22,f329]) ).
fof(f446,plain,
( spl0_8
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f445,f327,f205]) ).
fof(f447,plain,
( e12 = e14
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f207,f199]) ).
fof(f451,plain,
( $false
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f447,f166]) ).
fof(f452,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f451]) ).
fof(f459,plain,
( e14 = j(e22)
| ~ spl0_28 ),
inference(superposition,[],[f20,f291]) ).
fof(f460,plain,
( e11 = j(e24)
| ~ spl0_41 ),
inference(superposition,[],[f23,f346]) ).
fof(f461,plain,
( spl0_4
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f460,f344,f188]) ).
fof(f463,plain,
( e11 = j(e23)
| ~ spl0_42 ),
inference(superposition,[],[f23,f350]) ).
fof(f464,plain,
( spl0_9
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f463,f348,f209]) ).
fof(f467,plain,
( e11 = j(e22)
| ~ spl0_43 ),
inference(superposition,[],[f23,f354]) ).
fof(f468,plain,
( spl0_14
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f467,f352,f230]) ).
fof(f469,plain,
( e11 = e14
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f232,f220]) ).
fof(f473,plain,
( $false
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f469,f168]) ).
fof(f474,plain,
( ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f479,plain,
( e11 = j(e21)
| ~ spl0_44 ),
inference(superposition,[],[f23,f358]) ).
fof(f480,plain,
( spl0_19
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f479,f356,f251]) ).
fof(f481,plain,
( e11 = e14
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f253,f241]) ).
fof(f485,plain,
( $false
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f481,f168]) ).
fof(f486,plain,
( ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f488,plain,
( e10 = j(e24)
| ~ spl0_46 ),
inference(superposition,[],[f24,f367]) ).
fof(f489,plain,
( spl0_5
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f488,f365,f192]) ).
fof(f491,plain,
( e10 = j(e23)
| ~ spl0_47 ),
inference(superposition,[],[f24,f371]) ).
fof(f492,plain,
( spl0_10
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f491,f369,f213]) ).
fof(f495,plain,
( e10 = j(e22)
| ~ spl0_48 ),
inference(superposition,[],[f24,f375]) ).
fof(f496,plain,
( spl0_15
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f495,f373,f234]) ).
fof(f500,plain,
( e10 = j(e21)
| ~ spl0_49 ),
inference(superposition,[],[f24,f379]) ).
fof(f501,plain,
( spl0_20
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f500,f377,f255]) ).
fof(f506,plain,
( e10 = j(e20)
| ~ spl0_50 ),
inference(superposition,[],[f24,f383]) ).
fof(f507,plain,
( spl0_25
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f506,f381,f276]) ).
fof(f509,plain,
( e10 = e14
| ~ spl0_21
| ~ spl0_25 ),
inference(superposition,[],[f262,f278]) ).
fof(f510,plain,
( $false
| ~ spl0_21
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f509,f171]) ).
fof(f511,plain,
( ~ spl0_21
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f510]) ).
fof(f527,plain,
( e13 = j(e23)
| ~ spl0_32 ),
inference(superposition,[],[f21,f308]) ).
fof(f528,plain,
( e12 = e13
| ~ spl0_8
| ~ spl0_32 ),
inference(forward_demodulation,[],[f527,f207]) ).
fof(f529,plain,
( $false
| ~ spl0_8
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f528,f167]) ).
fof(f530,plain,
( ~ spl0_8
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f533,plain,
( e13 = j(e22)
| ~ spl0_33 ),
inference(superposition,[],[f21,f312]) ).
fof(f534,plain,
( spl0_12
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f533,f310,f222]) ).
fof(f538,plain,
( e13 = j(e21)
| ~ spl0_34 ),
inference(superposition,[],[f21,f316]) ).
fof(f543,plain,
( spl0_17
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f538,f314,f243]) ).
fof(f556,plain,
( e11 = j(e20)
| ~ spl0_45 ),
inference(superposition,[],[f23,f362]) ).
fof(f557,plain,
( spl0_24
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f556,f360,f272]) ).
fof(f567,plain,
( e11 = e12
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f211,f207]) ).
fof(f571,plain,
( $false
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f567,f170]) ).
fof(f572,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f571]) ).
fof(f590,plain,
( $false
| spl0_11
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f459,f219]) ).
fof(f591,plain,
( spl0_11
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f626,plain,
( e23 = h(e12)
| ~ spl0_8 ),
inference(superposition,[],[f26,f207]) ).
fof(f628,plain,
( e21 = h(e13)
| ~ spl0_17 ),
inference(superposition,[],[f28,f245]) ).
fof(f629,plain,
( e20 = h(e10)
| ~ spl0_25 ),
inference(superposition,[],[f29,f278]) ).
fof(f632,plain,
( j(e22) = op1(e11,j(e23))
| ~ spl0_4 ),
inference(superposition,[],[f386,f190]) ).
fof(f633,plain,
( j(e22) = op1(j(e24),e12)
| ~ spl0_8 ),
inference(superposition,[],[f386,f207]) ).
fof(f635,plain,
( op1(e11,e12) = j(e22)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f632,f207]) ).
fof(f637,plain,
( e14 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f635,f220]) ).
fof(f639,plain,
( e10 = e14
| ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f637,f122]) ).
fof(f642,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f639,f171]) ).
fof(f643,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f651,plain,
( op1(e12,e12) = j(e22)
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f633,f186]) ).
fof(f656,plain,
( e14 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f651,f220]) ).
fof(f657,plain,
( e13 = e14
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f656,f117]) ).
fof(f658,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f657,f165]) ).
fof(f659,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f658]) ).
fof(f680,plain,
( op1(e10,e10) = j(e20)
| ~ spl0_5 ),
inference(superposition,[],[f385,f194]) ).
fof(f681,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(superposition,[],[f25,f194]) ).
fof(f682,plain,
( e11 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f680,f274]) ).
fof(f684,plain,
( e10 = e11
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f682,f129]) ).
fof(f686,plain,
( $false
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f684,f174]) ).
fof(f687,plain,
( ~ spl0_5
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f691,plain,
( e12 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[],[f680,f270]) ).
fof(f692,plain,
( e10 = e12
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[],[f691,f129]) ).
fof(f693,plain,
( $false
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f692,f173]) ).
fof(f694,plain,
( ~ spl0_5
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f697,plain,
( e14 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f680,f262]) ).
fof(f698,plain,
( e10 = e14
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f697,f129]) ).
fof(f699,plain,
( $false
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f698,f171]) ).
fof(f700,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f703,plain,
( e13 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_demodulation,[],[f680,f266]) ).
fof(f704,plain,
( e10 = e13
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_demodulation,[],[f703,f129]) ).
fof(f705,plain,
( $false
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f704,f172]) ).
fof(f706,plain,
( ~ spl0_5
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f708,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f441,f302,f180]) ).
fof(f724,plain,
( e11 = e13
| ~ spl0_14
| ~ spl0_33 ),
inference(forward_demodulation,[],[f533,f232]) ).
fof(f730,plain,
( $false
| ~ spl0_14
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f724,f169]) ).
fof(f731,plain,
( ~ spl0_14
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f738,plain,
( e24 = h(e14)
| ~ spl0_1 ),
inference(superposition,[],[f25,f178]) ).
fof(f751,plain,
( op1(e13,e13) = j(e20)
| ~ spl0_2 ),
inference(superposition,[],[f385,f182]) ).
fof(f753,plain,
( e12 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_demodulation,[],[f751,f270]) ).
fof(f755,plain,
( e11 = e12
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_demodulation,[],[f753,f111]) ).
fof(f757,plain,
( $false
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f755,f170]) ).
fof(f758,plain,
( ~ spl0_2
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f757]) ).
fof(f769,plain,
( e24 = h(e12)
| ~ spl0_3 ),
inference(superposition,[],[f25,f186]) ).
fof(f778,plain,
( e21 = e24
| ~ spl0_1
| ~ spl0_29 ),
inference(forward_demodulation,[],[f738,f295]) ).
fof(f784,plain,
( $false
| ~ spl0_1
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f778,f158]) ).
fof(f785,plain,
( ~ spl0_1
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f784]) ).
fof(f789,plain,
( spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f738,f176,f281]) ).
fof(f800,plain,
( e21 = h(e10)
| ~ spl0_20 ),
inference(superposition,[],[f28,f257]) ).
fof(f806,plain,
( e14 = j(e24)
| ~ spl0_26 ),
inference(superposition,[],[f20,f283]) ).
fof(f811,plain,
( e13 = j(e20)
| ~ spl0_35 ),
inference(superposition,[],[f21,f320]) ).
fof(f815,plain,
( e10 = e13
| ~ spl0_10
| ~ spl0_32 ),
inference(forward_demodulation,[],[f527,f215]) ).
fof(f823,plain,
( $false
| ~ spl0_10
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f815,f172]) ).
fof(f824,plain,
( ~ spl0_10
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f827,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f527,f306,f201]) ).
fof(f832,plain,
( e23 = h(e14)
| ~ spl0_6 ),
inference(superposition,[],[f26,f199]) ).
fof(f837,plain,
( e13 = e14
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f203,f199]) ).
fof(f839,plain,
( j(e22) = op1(j(e24),e13)
| ~ spl0_7 ),
inference(superposition,[],[f386,f203]) ).
fof(f840,plain,
( e23 = h(e13)
| ~ spl0_7 ),
inference(superposition,[],[f26,f203]) ).
fof(f841,plain,
( op1(e14,e13) = j(e22)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f839,f178]) ).
fof(f844,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f837,f165]) ).
fof(f845,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f844]) ).
fof(f846,plain,
( e11 = op1(e14,e13)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f841,f232]) ).
fof(f847,plain,
( e10 = e11
| ~ spl0_1
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f846,f106]) ).
fof(f848,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f847,f174]) ).
fof(f849,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f848]) ).
fof(f860,plain,
( $false
| spl0_1
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f806,f177]) ).
fof(f861,plain,
( spl0_1
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f860]) ).
fof(f882,plain,
( op1(e14,e13) = j(e22)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f839,f178]) ).
fof(f896,plain,
( e12 = op1(e14,e13)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f882,f228]) ).
fof(f897,plain,
( e10 = e12
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f896,f106]) ).
fof(f898,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f897,f173]) ).
fof(f899,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f898]) ).
fof(f910,plain,
( e11 = e13
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f211,f203]) ).
fof(f918,plain,
( $false
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f910,f169]) ).
fof(f919,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f918]) ).
fof(f926,plain,
( e11 = e14
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f190,f178]) ).
fof(f931,plain,
( e24 = h(e11)
| ~ spl0_4 ),
inference(superposition,[],[f25,f190]) ).
fof(f936,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f926,f168]) ).
fof(f937,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f936]) ).
fof(f952,plain,
( e21 = h(e11)
| ~ spl0_19 ),
inference(superposition,[],[f28,f253]) ).
fof(f955,plain,
( e12 = j(e20)
| ~ spl0_40 ),
inference(superposition,[],[f22,f341]) ).
fof(f962,plain,
( j(e21) = op1(j(e24),e10)
| ~ spl0_15 ),
inference(superposition,[],[f387,f236]) ).
fof(f968,plain,
( j(e23) = op1(j(e24),e11)
| ~ spl0_19 ),
inference(superposition,[],[f388,f253]) ).
fof(f973,plain,
( e14 = op1(e14,j(e20))
| ~ spl0_1 ),
inference(superposition,[],[f389,f178]) ).
fof(f976,plain,
( e14 = op1(e14,e12)
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f973,f270]) ).
fof(f978,plain,
( e11 = e14
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f976,f107]) ).
fof(f981,plain,
( $false
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f978,f168]) ).
fof(f982,plain,
( ~ spl0_1
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f981]) ).
fof(f986,plain,
( spl0_23
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f955,f339,f268]) ).
fof(f987,plain,
( e14 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_demodulation,[],[f973,f262]) ).
fof(f989,plain,
( e12 = e14
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_demodulation,[],[f987,f105]) ).
fof(f992,plain,
( $false
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f989,f166]) ).
fof(f993,plain,
( ~ spl0_1
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f992]) ).
fof(f1000,plain,
( e14 = op1(e14,e13)
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f973,f266]) ).
fof(f1002,plain,
( e10 = e14
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1000,f106]) ).
fof(f1005,plain,
( $false
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1002,f171]) ).
fof(f1006,plain,
( ~ spl0_1
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1005]) ).
fof(f1009,plain,
( e14 = op1(e14,e11)
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_demodulation,[],[f973,f274]) ).
fof(f1010,plain,
( e13 = e14
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1009,f108]) ).
fof(f1011,plain,
( $false
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1010,f165]) ).
fof(f1012,plain,
( ~ spl0_1
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1011]) ).
fof(f1029,plain,
( e21 = e24
| ~ spl0_3
| ~ spl0_39 ),
inference(forward_demodulation,[],[f769,f337]) ).
fof(f1035,plain,
( op1(e12,e11) = j(e23)
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[],[f968,f186]) ).
fof(f1036,plain,
( $false
| ~ spl0_3
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1029,f158]) ).
fof(f1037,plain,
( ~ spl0_3
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1036]) ).
fof(f1042,plain,
( e13 = op1(e12,e11)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1035,f203]) ).
fof(f1043,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1042,f118]) ).
fof(f1044,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1043,f172]) ).
fof(f1045,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1044]) ).
fof(f1047,plain,
( e21 = e24
| ~ spl0_4
| ~ spl0_44 ),
inference(forward_demodulation,[],[f931,f358]) ).
fof(f1053,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f962,f190]) ).
fof(f1057,plain,
( $false
| ~ spl0_4
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1047,f158]) ).
fof(f1058,plain,
( ~ spl0_4
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1070,plain,
( e14 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1053,f241]) ).
fof(f1071,plain,
( e11 = e14
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1070,f124]) ).
fof(f1072,plain,
( $false
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1071,f168]) ).
fof(f1073,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1072]) ).
fof(f1075,plain,
( e12 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1053,f249]) ).
fof(f1076,plain,
( e11 = e12
| ~ spl0_4
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1075,f124]) ).
fof(f1077,plain,
( $false
| ~ spl0_4
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1076,f170]) ).
fof(f1078,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1077]) ).
fof(f1079,plain,
( spl0_34
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f628,f243,f314]) ).
fof(f1082,plain,
( e13 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1053,f245]) ).
fof(f1083,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1082,f124]) ).
fof(f1084,plain,
( $false
| ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1083,f169]) ).
fof(f1085,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1084]) ).
fof(f1093,plain,
( j(e22) = op1(e11,j(e23))
| ~ spl0_4 ),
inference(superposition,[],[f386,f190]) ).
fof(f1094,plain,
( j(e21) = op1(e11,j(e22))
| ~ spl0_4 ),
inference(superposition,[],[f387,f190]) ).
fof(f1095,plain,
( j(e23) = op1(e11,j(e21))
| ~ spl0_4 ),
inference(superposition,[],[f388,f190]) ).
fof(f1096,plain,
( e11 = op1(e11,j(e20))
| ~ spl0_4 ),
inference(superposition,[],[f389,f190]) ).
fof(f1098,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1095,f257]) ).
fof(f1102,plain,
( e13 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1098,f203]) ).
fof(f1105,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1102,f124]) ).
fof(f1106,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1105,f169]) ).
fof(f1107,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1106]) ).
fof(f1118,plain,
( op1(e11,e13) = j(e23)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1095,f245]) ).
fof(f1121,plain,
( op1(e11,e12) = j(e21)
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1094,f228]) ).
fof(f1123,plain,
( e13 = op1(e11,e13)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1118,f203]) ).
fof(f1124,plain,
( e13 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1121,f245]) ).
fof(f1125,plain,
( e12 = e13
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1123,f121]) ).
fof(f1126,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1124,f122]) ).
fof(f1127,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1125,f167]) ).
fof(f1128,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1127]) ).
fof(f1129,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1126,f172]) ).
fof(f1130,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1129]) ).
fof(f1138,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1093,f215]) ).
fof(f1141,plain,
( e13 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1138,f224]) ).
fof(f1143,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1141,f124]) ).
fof(f1146,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1143,f169]) ).
fof(f1147,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1146]) ).
fof(f1155,plain,
( e14 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1138,f220]) ).
fof(f1157,plain,
( e11 = e14
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1155,f124]) ).
fof(f1158,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1157,f168]) ).
fof(f1159,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1158]) ).
fof(f1160,plain,
( $false
| spl0_22
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f811,f265]) ).
fof(f1161,plain,
( spl0_22
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f1160]) ).
fof(f1169,plain,
( e12 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1138,f228]) ).
fof(f1172,plain,
( e11 = e12
| ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1169,f124]) ).
fof(f1174,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1172,f170]) ).
fof(f1175,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1174]) ).
fof(f1178,plain,
( e11 = e13
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f182,f190]) ).
fof(f1187,plain,
( op1(e11,e11) = j(e21)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1094,f232]) ).
fof(f1189,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1178,f169]) ).
fof(f1190,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f1189]) ).
fof(f1196,plain,
( e12 = e13
| ~ spl0_18
| ~ spl0_34 ),
inference(forward_demodulation,[],[f538,f249]) ).
fof(f1201,plain,
( $false
| ~ spl0_18
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1196,f167]) ).
fof(f1202,plain,
( ~ spl0_18
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1201]) ).
fof(f1204,plain,
( e14 = j(e21)
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1187,f123]) ).
fof(f1206,plain,
( $false
| ~ spl0_4
| ~ spl0_14
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f1204,f240]) ).
fof(f1207,plain,
( ~ spl0_4
| ~ spl0_14
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f1206]) ).
fof(f1213,plain,
( e23 = h(e10)
| ~ spl0_10 ),
inference(superposition,[],[f26,f215]) ).
fof(f1223,plain,
( e21 = h(e14)
| ~ spl0_16 ),
inference(superposition,[],[f28,f241]) ).
fof(f1249,plain,
( e20 = h(e13)
| ~ spl0_22 ),
inference(superposition,[],[f29,f266]) ).
fof(f1254,plain,
( e14 = j(e21)
| ~ spl0_29 ),
inference(superposition,[],[f20,f295]) ).
fof(f1261,plain,
( e12 = j(e22)
| ~ spl0_38 ),
inference(superposition,[],[f22,f333]) ).
fof(f1262,plain,
( $false
| spl0_13
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1261,f227]) ).
fof(f1263,plain,
( spl0_13
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f1262]) ).
fof(f1268,plain,
( e12 = j(e21)
| ~ spl0_39 ),
inference(superposition,[],[f22,f337]) ).
fof(f1269,plain,
( $false
| spl0_18
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1268,f248]) ).
fof(f1270,plain,
( spl0_18
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1269]) ).
fof(f1271,plain,
( e11 = e12
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f186,f190]) ).
fof(f1277,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1271,f170]) ).
fof(f1278,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f1277]) ).
fof(f1284,plain,
( e12 = e14
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f249,f241]) ).
fof(f1289,plain,
( e21 = h(e12)
| ~ spl0_18 ),
inference(superposition,[],[f28,f249]) ).
fof(f1293,plain,
( $false
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1284,f166]) ).
fof(f1294,plain,
( ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1293]) ).
fof(f1301,plain,
( e11 = e12
| ~ spl0_14
| ~ spl0_38 ),
inference(forward_demodulation,[],[f1261,f232]) ).
fof(f1310,plain,
( op1(e11,e14) = j(e23)
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1095,f241]) ).
fof(f1314,plain,
( $false
| ~ spl0_14
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1301,f170]) ).
fof(f1315,plain,
( ~ spl0_14
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f1314]) ).
fof(f1318,plain,
( spl0_37
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f626,f205,f327]) ).
fof(f1327,plain,
( op1(e11,e12) = j(e22)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1093,f207]) ).
fof(f1330,plain,
( e11 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1327,f232]) ).
fof(f1331,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1330,f122]) ).
fof(f1332,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1331,f174]) ).
fof(f1333,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1332]) ).
fof(f1334,plain,
( e21 = e23
| ~ spl0_6
| ~ spl0_29 ),
inference(forward_demodulation,[],[f832,f295]) ).
fof(f1343,plain,
( op1(e11,e12) = j(e21)
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1094,f228]) ).
fof(f1349,plain,
( e14 = op1(e11,e14)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1310,f199]) ).
fof(f1350,plain,
( $false
| ~ spl0_6
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1334,f159]) ).
fof(f1351,plain,
( ~ spl0_6
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1350]) ).
fof(f1354,plain,
( e14 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1343,f241]) ).
fof(f1357,plain,
( e13 = e14
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1349,f120]) ).
fof(f1358,plain,
( e10 = e14
| ~ spl0_4
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1354,f122]) ).
fof(f1361,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1357,f165]) ).
fof(f1362,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1361]) ).
fof(f1363,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1358,f171]) ).
fof(f1364,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1363]) ).
fof(f1370,plain,
( spl0_35
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1249,f264,f318]) ).
fof(f1385,plain,
( spl0_32
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f840,f201,f306]) ).
fof(f1392,plain,
( spl0_50
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f629,f276,f381]) ).
fof(f1399,plain,
( e11 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1096,f270]) ).
fof(f1407,plain,
( op1(e11,e13) = j(e22)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1093,f203]) ).
fof(f1414,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1399,f122]) ).
fof(f1416,plain,
( e14 = op1(e11,e13)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1407,f220]) ).
fof(f1417,plain,
( $false
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1414,f174]) ).
fof(f1418,plain,
( ~ spl0_4
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1417]) ).
fof(f1420,plain,
( e12 = e14
| ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1416,f121]) ).
fof(f1423,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1420,f166]) ).
fof(f1424,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1423]) ).
fof(f1427,plain,
( e20 = e21
| ~ spl0_20
| ~ spl0_50 ),
inference(forward_demodulation,[],[f800,f383]) ).
fof(f1444,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1095,f257]) ).
fof(f1453,plain,
( $false
| ~ spl0_20
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1427,f164]) ).
fof(f1454,plain,
( ~ spl0_20
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1453]) ).
fof(f1463,plain,
( e14 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1444,f199]) ).
fof(f1466,plain,
( e11 = e14
| ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1463,f124]) ).
fof(f1467,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1466,f168]) ).
fof(f1468,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1467]) ).
fof(f1475,plain,
( $false
| spl0_6
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f440,f198]) ).
fof(f1476,plain,
( spl0_6
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1475]) ).
fof(f1482,plain,
( $false
| spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1254,f240]) ).
fof(f1483,plain,
( spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1482]) ).
fof(f1493,plain,
( e22 = h(e12)
| ~ spl0_13 ),
inference(superposition,[],[f27,f228]) ).
fof(f1509,plain,
( e14 = j(e20)
| ~ spl0_30 ),
inference(superposition,[],[f20,f299]) ).
fof(f1510,plain,
( e13 = e14
| ~ spl0_22
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1509,f266]) ).
fof(f1511,plain,
( $false
| ~ spl0_22
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1510,f165]) ).
fof(f1512,plain,
( ~ spl0_22
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1511]) ).
fof(f1514,plain,
( e12 = e13
| ~ spl0_13
| ~ spl0_33 ),
inference(forward_demodulation,[],[f533,f228]) ).
fof(f1523,plain,
( $false
| ~ spl0_13
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f1514,f167]) ).
fof(f1524,plain,
( ~ spl0_13
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f1523]) ).
fof(f1539,plain,
( op1(e11,e12) = j(e22)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1093,f207]) ).
fof(f1543,plain,
( e13 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1539,f224]) ).
fof(f1546,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1543,f122]) ).
fof(f1551,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1546,f172]) ).
fof(f1552,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1551]) ).
fof(f1555,plain,
( spl0_38
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1493,f226,f331]) ).
fof(f1580,plain,
( e12 = e14
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f228,f220]) ).
fof(f1587,plain,
( $false
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1580,f166]) ).
fof(f1588,plain,
( ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1587]) ).
fof(f1592,plain,
( spl0_39
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1289,f247,f335]) ).
fof(f1610,plain,
( $false
| spl0_21
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1509,f261]) ).
fof(f1611,plain,
( spl0_21
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1610]) ).
fof(f1616,plain,
( e11 = op1(e11,j(e21))
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1095,f211]) ).
fof(f1618,plain,
( e11 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1616,f249]) ).
fof(f1620,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1618,f122]) ).
fof(f1621,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1620,f174]) ).
fof(f1622,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1621]) ).
fof(f1629,plain,
( op1(e11,e12) = j(e23)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1095,f249]) ).
fof(f1631,plain,
( e14 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1629,f199]) ).
fof(f1632,plain,
( e10 = e14
| ~ spl0_4
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1631,f122]) ).
fof(f1633,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1632,f171]) ).
fof(f1634,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1633]) ).
fof(f1636,plain,
( spl0_29
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1223,f239,f293]) ).
fof(f1653,plain,
( j(e22) = op1(e12,j(e23))
| ~ spl0_3 ),
inference(superposition,[],[f386,f186]) ).
fof(f1656,plain,
( e12 = op1(e12,j(e20))
| ~ spl0_3 ),
inference(superposition,[],[f389,f186]) ).
fof(f1657,plain,
( e12 = op1(e12,e11)
| ~ spl0_3
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1656,f274]) ).
fof(f1660,plain,
( op1(e12,e11) = j(e22)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1653,f211]) ).
fof(f1662,plain,
( e10 = e12
| ~ spl0_3
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1657,f118]) ).
fof(f1665,plain,
( e13 = op1(e12,e11)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1660,f224]) ).
fof(f1666,plain,
( $false
| ~ spl0_3
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1662,f173]) ).
fof(f1667,plain,
( ~ spl0_3
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1666]) ).
fof(f1668,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1665,f118]) ).
fof(f1669,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1668,f172]) ).
fof(f1670,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1669]) ).
fof(f1691,plain,
( j(e23) = op1(e13,j(e21))
| ~ spl0_2 ),
inference(superposition,[],[f388,f182]) ).
fof(f1692,plain,
( e13 = op1(e13,j(e20))
| ~ spl0_2 ),
inference(superposition,[],[f389,f182]) ).
fof(f1693,plain,
( e13 = op1(e13,e11)
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1692,f274]) ).
fof(f1694,plain,
( op1(e13,e14) = j(e23)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1691,f241]) ).
fof(f1698,plain,
( e12 = e13
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1693,f113]) ).
fof(f1699,plain,
( e12 = op1(e13,e14)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1694,f207]) ).
fof(f1702,plain,
( $false
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1698,f167]) ).
fof(f1703,plain,
( ~ spl0_2
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1702]) ).
fof(f1704,plain,
( e10 = e12
| ~ spl0_2
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1699,f110]) ).
fof(f1706,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1704,f173]) ).
fof(f1707,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1706]) ).
fof(f1728,plain,
( j(e21) = op1(e12,j(e22))
| ~ spl0_3 ),
inference(superposition,[],[f387,f186]) ).
fof(f1733,plain,
( op1(e12,e11) = j(e21)
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1728,f232]) ).
fof(f1737,plain,
( e14 = op1(e12,e11)
| ~ spl0_3
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1733,f241]) ).
fof(f1740,plain,
( e10 = e14
| ~ spl0_3
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1737,f118]) ).
fof(f1743,plain,
( $false
| ~ spl0_3
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1740,f171]) ).
fof(f1744,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1743]) ).
fof(f1760,plain,
( op1(e13,e13) = j(e20)
| ~ spl0_2 ),
inference(superposition,[],[f385,f182]) ).
fof(f1769,plain,
( e14 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1760,f262]) ).
fof(f1774,plain,
( e11 = e14
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1769,f111]) ).
fof(f1777,plain,
( $false
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1774,f168]) ).
fof(f1778,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1777]) ).
fof(f1793,plain,
( j(e23) = op1(e14,j(e21))
| ~ spl0_1 ),
inference(superposition,[],[f388,f178]) ).
fof(f1796,plain,
( op1(e14,e13) = j(e23)
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1793,f245]) ).
fof(f1800,plain,
( e12 = op1(e14,e13)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1796,f207]) ).
fof(f1803,plain,
( e10 = e12
| ~ spl0_1
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1800,f106]) ).
fof(f1804,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1803,f173]) ).
fof(f1805,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1804]) ).
fof(f1818,plain,
( e24 = h(e12)
| ~ spl0_3 ),
inference(superposition,[],[f25,f186]) ).
fof(f1820,plain,
( op1(e12,e12) = j(e20)
| ~ spl0_3 ),
inference(superposition,[],[f385,f186]) ).
fof(f1822,plain,
( j(e21) = op1(e12,j(e22))
| ~ spl0_3 ),
inference(superposition,[],[f387,f186]) ).
fof(f1823,plain,
( j(e23) = op1(e12,j(e21))
| ~ spl0_3 ),
inference(superposition,[],[f388,f186]) ).
fof(f1827,plain,
( op1(e12,e11) = j(e21)
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1822,f232]) ).
fof(f1829,plain,
( e14 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1820,f262]) ).
fof(f1832,plain,
( e13 = op1(e12,e11)
| ~ spl0_3
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1827,f245]) ).
fof(f1834,plain,
( e13 = e14
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1829,f117]) ).
fof(f1837,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1832,f118]) ).
fof(f1838,plain,
( $false
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1834,f165]) ).
fof(f1839,plain,
( ~ spl0_3
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1838]) ).
fof(f1840,plain,
( $false
| ~ spl0_3
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1837,f172]) ).
fof(f1841,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1840]) ).
fof(f1843,plain,
( spl0_44
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f952,f251,f356]) ).
fof(f1866,plain,
( op1(e12,e10) = j(e23)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1823,f257]) ).
fof(f1869,plain,
( e14 = op1(e12,e10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1866,f199]) ).
fof(f1871,plain,
( e12 = e14
| ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1869,f119]) ).
fof(f1872,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1871,f166]) ).
fof(f1873,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1872]) ).
fof(f1883,plain,
( e24 = h(e13)
| ~ spl0_2 ),
inference(superposition,[],[f25,f182]) ).
fof(f1886,plain,
( j(e22) = op1(e13,j(e23))
| ~ spl0_2 ),
inference(superposition,[],[f386,f182]) ).
fof(f1893,plain,
( op1(e13,e14) = j(e22)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1886,f199]) ).
fof(f1897,plain,
( e11 = op1(e13,e14)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1893,f232]) ).
fof(f1898,plain,
( e10 = e11
| ~ spl0_2
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1897,f110]) ).
fof(f1899,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1898,f174]) ).
fof(f1900,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1899]) ).
fof(f1919,plain,
( j(e22) = op1(e14,j(e23))
| ~ spl0_1 ),
inference(superposition,[],[f386,f178]) ).
fof(f1920,plain,
( j(e21) = op1(e14,j(e22))
| ~ spl0_1 ),
inference(superposition,[],[f387,f178]) ).
fof(f1921,plain,
( j(e23) = op1(e14,j(e21))
| ~ spl0_1 ),
inference(superposition,[],[f388,f178]) ).
fof(f1924,plain,
( op1(e14,e13) = j(e23)
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1921,f245]) ).
fof(f1928,plain,
( e11 = op1(e14,e13)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1924,f211]) ).
fof(f1931,plain,
( e10 = e11
| ~ spl0_1
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1928,f106]) ).
fof(f1933,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1931,f174]) ).
fof(f1934,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1933]) ).
fof(f1944,plain,
( op1(e14,e12) = j(e23)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1921,f249]) ).
fof(f1946,plain,
( op1(e14,e13) = j(e21)
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1920,f224]) ).
fof(f1949,plain,
( e12 = op1(e14,e13)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1946,f249]) ).
fof(f1950,plain,
( e10 = e12
| ~ spl0_1
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1949,f106]) ).
fof(f1951,plain,
( $false
| ~ spl0_1
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1950,f173]) ).
fof(f1952,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1951]) ).
fof(f1966,plain,
( e13 = op1(e14,e12)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1944,f203]) ).
fof(f1969,plain,
( e11 = e13
| ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1966,f107]) ).
fof(f1970,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1969,f169]) ).
fof(f1971,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1970]) ).
fof(f1972,plain,
( e20 = e23
| ~ spl0_10
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1213,f383]) ).
fof(f1985,plain,
( op1(e14,e11) = j(e23)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1921,f253]) ).
fof(f1989,plain,
( $false
| ~ spl0_10
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1972,f162]) ).
fof(f1990,plain,
( ~ spl0_10
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1989]) ).
fof(f2006,plain,
( e11 = op1(e14,j(e22))
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1920,f253]) ).
fof(f2008,plain,
( op1(e14,e14) = j(e22)
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1919,f199]) ).
fof(f2009,plain,
( e14 = op1(e14,e11)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1985,f199]) ).
fof(f2010,plain,
( e11 = op1(e14,e13)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2006,f224]) ).
fof(f2011,plain,
( e13 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2008,f224]) ).
fof(f2012,plain,
( e13 = e14
| ~ spl0_1
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2009,f108]) ).
fof(f2013,plain,
( e10 = e11
| ~ spl0_1
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2010,f106]) ).
fof(f2014,plain,
( e12 = e13
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2011,f105]) ).
fof(f2015,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f2012,f165]) ).
fof(f2016,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f2015]) ).
fof(f2017,plain,
( $false
| ~ spl0_1
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f2013,f174]) ).
fof(f2018,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f2017]) ).
fof(f2019,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f2014,f167]) ).
fof(f2020,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f2019]) ).
fof(f2038,plain,
( e20 = e24
| ~ spl0_5
| ~ spl0_50 ),
inference(forward_demodulation,[],[f681,f383]) ).
fof(f2041,plain,
( $false
| ~ spl0_5
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2038,f161]) ).
fof(f2042,plain,
( ~ spl0_5
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2041]) ).
fof(f2046,plain,
( e21 = e24
| ~ spl0_2
| ~ spl0_34 ),
inference(forward_demodulation,[],[f1883,f316]) ).
fof(f2057,plain,
( $false
| ~ spl0_2
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f2046,f158]) ).
fof(f2058,plain,
( ~ spl0_2
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f2057]) ).
fof(f2064,plain,
( e22 = e24
| ~ spl0_3
| ~ spl0_38 ),
inference(forward_demodulation,[],[f1818,f333]) ).
fof(f2075,plain,
( $false
| ~ spl0_3
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f2064,f156]) ).
fof(f2076,plain,
( ~ spl0_3
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f2075]) ).
fof(f2084,plain,
( j(e22) = op1(e12,j(e23))
| ~ spl0_3 ),
inference(superposition,[],[f386,f186]) ).
fof(f2085,plain,
( j(e21) = op1(e12,j(e22))
| ~ spl0_3 ),
inference(superposition,[],[f387,f186]) ).
fof(f2086,plain,
( j(e23) = op1(e12,j(e21))
| ~ spl0_3 ),
inference(superposition,[],[f388,f186]) ).
fof(f2133,plain,
( op1(e12,e11) = j(e22)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2084,f211]) ).
fof(f2136,plain,
( e14 = op1(e12,e11)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2133,f220]) ).
fof(f2137,plain,
( e10 = e14
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2136,f118]) ).
fof(f2138,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f2137,f171]) ).
fof(f2139,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2138]) ).
fof(f2147,plain,
( op1(e12,e11) = j(e23)
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2086,f253]) ).
fof(f2150,plain,
( op1(e12,e10) = j(e22)
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2084,f215]) ).
fof(f2152,plain,
( e14 = op1(e12,e10)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2150,f220]) ).
fof(f2153,plain,
( e12 = e14
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2152,f119]) ).
fof(f2154,plain,
( $false
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f2153,f166]) ).
fof(f2155,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2154]) ).
fof(f2164,plain,
( op1(e12,e10) = j(e21)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[],[f2085,f236]) ).
fof(f2166,plain,
( e14 = op1(e12,e11)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2147,f199]) ).
fof(f2169,plain,
( e10 = e14
| ~ spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2166,f118]) ).
fof(f2170,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f2169,f171]) ).
fof(f2171,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f2170]) ).
fof(f2182,plain,
( e14 = op1(e12,e10)
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2164,f241]) ).
fof(f2186,plain,
( e12 = e14
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2182,f119]) ).
fof(f2188,plain,
( $false
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2186,f166]) ).
fof(f2189,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2188]) ).
fof(f2193,plain,
( e20 = e24
| ~ spl0_2
| ~ spl0_35 ),
inference(forward_demodulation,[],[f1883,f320]) ).
fof(f2195,plain,
( e11 = e14
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f199,f211]) ).
fof(f2197,plain,
( e11 = e14
| ~ spl0_9
| ~ spl0_27 ),
inference(forward_demodulation,[],[f440,f211]) ).
fof(f2215,plain,
( $false
| ~ spl0_2
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f2193,f161]) ).
fof(f2216,plain,
( ~ spl0_2
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f2215]) ).
fof(f2217,plain,
( $false
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2195,f168]) ).
fof(f2218,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2217]) ).
fof(f2219,plain,
( $false
| ~ spl0_9
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f2197,f168]) ).
fof(f2220,plain,
( ~ spl0_9
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f2219]) ).
fof(f2232,plain,
( j(e22) = op1(e13,j(e23))
| ~ spl0_2 ),
inference(superposition,[],[f386,f182]) ).
fof(f2233,plain,
( j(e21) = op1(e13,j(e22))
| ~ spl0_2 ),
inference(superposition,[],[f387,f182]) ).
fof(f2234,plain,
( j(e23) = op1(e13,j(e21))
| ~ spl0_2 ),
inference(superposition,[],[f388,f182]) ).
fof(f2237,plain,
( op1(e13,e11) = j(e23)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2234,f253]) ).
fof(f2241,plain,
( e14 = op1(e13,e11)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2237,f199]) ).
fof(f2244,plain,
( e12 = e14
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2241,f113]) ).
fof(f2246,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f2244,f166]) ).
fof(f2247,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f2246]) ).
fof(f2261,plain,
( op1(e13,e14) = j(e21)
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2233,f220]) ).
fof(f2262,plain,
( op1(e13,e11) = j(e22)
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2232,f211]) ).
fof(f2264,plain,
( e12 = op1(e13,e14)
| ~ spl0_2
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2261,f249]) ).
fof(f2265,plain,
( e14 = op1(e13,e11)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2262,f220]) ).
fof(f2266,plain,
( e10 = e12
| ~ spl0_2
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2264,f110]) ).
fof(f2267,plain,
( e12 = e14
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2265,f113]) ).
fof(f2268,plain,
( $false
| ~ spl0_2
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2266,f173]) ).
fof(f2269,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f2268]) ).
fof(f2270,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f2267,f166]) ).
fof(f2271,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2270]) ).
fof(f2278,plain,
( e11 = op1(e13,e14)
| ~ spl0_2
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2261,f253]) ).
fof(f2281,plain,
( e10 = e11
| ~ spl0_2
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2278,f110]) ).
fof(f2283,plain,
( $false
| ~ spl0_2
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f2281,f174]) ).
fof(f2284,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f2283]) ).
fof(f2293,plain,
( op1(e13,e14) = j(e23)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2234,f241]) ).
fof(f2297,plain,
( e11 = op1(e13,e14)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2293,f211]) ).
fof(f2300,plain,
( e10 = e11
| ~ spl0_2
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2297,f110]) ).
fof(f2301,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2300,f174]) ).
fof(f2302,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2301]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f195]) ).
cnf(s2,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f216]) ).
cnf(s3,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f237]) ).
cnf(s4,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f258]) ).
cnf(s5,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f279]) ).
cnf(s6,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f300]) ).
cnf(s7,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f321]) ).
cnf(s8,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(sat_conversion,[],[f342]) ).
cnf(s9,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f363]) ).
cnf(s10,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(sat_conversion,[],[f384]) ).
cnf(s11,plain,
( ~ spl0_2
| ~ spl0_26 ),
inference(sat_conversion,[],[f438]) ).
cnf(s12,plain,
( spl0_3
| ~ spl0_36 ),
inference(sat_conversion,[],[f443]) ).
cnf(s13,plain,
( spl0_8
| ~ spl0_37 ),
inference(sat_conversion,[],[f446]) ).
cnf(s15,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f452]) ).
cnf(s17,plain,
( spl0_4
| ~ spl0_41 ),
inference(sat_conversion,[],[f461]) ).
cnf(s18,plain,
( spl0_9
| ~ spl0_42 ),
inference(sat_conversion,[],[f464]) ).
cnf(s19,plain,
( spl0_14
| ~ spl0_43 ),
inference(sat_conversion,[],[f468]) ).
cnf(s21,plain,
( ~ spl0_11
| ~ spl0_14 ),
inference(sat_conversion,[],[f474]) ).
cnf(s22,plain,
( spl0_19
| ~ spl0_44 ),
inference(sat_conversion,[],[f480]) ).
cnf(s24,plain,
( ~ spl0_16
| ~ spl0_19 ),
inference(sat_conversion,[],[f486]) ).
cnf(s25,plain,
( spl0_5
| ~ spl0_46 ),
inference(sat_conversion,[],[f489]) ).
cnf(s26,plain,
( spl0_10
| ~ spl0_47 ),
inference(sat_conversion,[],[f492]) ).
cnf(s27,plain,
( spl0_15
| ~ spl0_48 ),
inference(sat_conversion,[],[f496]) ).
cnf(s28,plain,
( spl0_20
| ~ spl0_49 ),
inference(sat_conversion,[],[f501]) ).
cnf(s29,plain,
( spl0_25
| ~ spl0_50 ),
inference(sat_conversion,[],[f507]) ).
cnf(s30,plain,
( ~ spl0_21
| ~ spl0_25 ),
inference(sat_conversion,[],[f511]) ).
cnf(s35,plain,
( ~ spl0_8
| ~ spl0_32 ),
inference(sat_conversion,[],[f530]) ).
cnf(s36,plain,
( spl0_12
| ~ spl0_33 ),
inference(sat_conversion,[],[f534]) ).
cnf(s38,plain,
( spl0_17
| ~ spl0_34 ),
inference(sat_conversion,[],[f543]) ).
cnf(s41,plain,
( spl0_24
| ~ spl0_45 ),
inference(sat_conversion,[],[f557]) ).
cnf(s45,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f572]) ).
cnf(s48,plain,
( spl0_11
| ~ spl0_28 ),
inference(sat_conversion,[],[f591]) ).
cnf(s54,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(sat_conversion,[],[f643]) ).
cnf(s57,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_11 ),
inference(sat_conversion,[],[f659]) ).
cnf(s60,plain,
( ~ spl0_5
| ~ spl0_24 ),
inference(sat_conversion,[],[f687]) ).
cnf(s61,plain,
( ~ spl0_5
| ~ spl0_23 ),
inference(sat_conversion,[],[f694]) ).
cnf(s62,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(sat_conversion,[],[f700]) ).
cnf(s63,plain,
( ~ spl0_5
| ~ spl0_22 ),
inference(sat_conversion,[],[f706]) ).
cnf(s64,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f708]) ).
cnf(s67,plain,
( ~ spl0_14
| ~ spl0_33 ),
inference(sat_conversion,[],[f731]) ).
cnf(s69,plain,
( ~ spl0_2
| ~ spl0_23 ),
inference(sat_conversion,[],[f758]) ).
cnf(s72,plain,
( ~ spl0_1
| ~ spl0_29 ),
inference(sat_conversion,[],[f785]) ).
cnf(s74,plain,
( ~ spl0_1
| spl0_26 ),
inference(sat_conversion,[],[f789]) ).
cnf(s77,plain,
( ~ spl0_10
| ~ spl0_32 ),
inference(sat_conversion,[],[f824]) ).
cnf(s78,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f827]) ).
cnf(s81,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f845]) ).
cnf(s82,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_14 ),
inference(sat_conversion,[],[f849]) ).
cnf(s84,plain,
( spl0_1
| ~ spl0_26 ),
inference(sat_conversion,[],[f861]) ).
cnf(s91,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(sat_conversion,[],[f899]) ).
cnf(s93,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f919]) ).
cnf(s96,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f937]) ).
cnf(s98,plain,
( ~ spl0_1
| ~ spl0_23 ),
inference(sat_conversion,[],[f982]) ).
cnf(s99,plain,
( spl0_23
| ~ spl0_40 ),
inference(sat_conversion,[],[f986]) ).
cnf(s101,plain,
( ~ spl0_1
| ~ spl0_21 ),
inference(sat_conversion,[],[f993]) ).
cnf(s103,plain,
( ~ spl0_1
| ~ spl0_22 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s104,plain,
( ~ spl0_1
| ~ spl0_24 ),
inference(sat_conversion,[],[f1012]) ).
cnf(s107,plain,
( ~ spl0_3
| ~ spl0_39 ),
inference(sat_conversion,[],[f1037]) ).
cnf(s109,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_19 ),
inference(sat_conversion,[],[f1045]) ).
cnf(s111,plain,
( ~ spl0_4
| ~ spl0_44 ),
inference(sat_conversion,[],[f1058]) ).
cnf(s117,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f1073]) ).
cnf(s118,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_18 ),
inference(sat_conversion,[],[f1078]) ).
cnf(s119,plain,
( ~ spl0_17
| spl0_34 ),
inference(sat_conversion,[],[f1079]) ).
cnf(s120,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f1085]) ).
cnf(s122,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s125,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_17 ),
inference(sat_conversion,[],[f1128]) ).
cnf(s126,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f1130]) ).
cnf(s128,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(sat_conversion,[],[f1147]) ).
cnf(s130,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s131,plain,
( spl0_22
| ~ spl0_35 ),
inference(sat_conversion,[],[f1161]) ).
cnf(s132,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(sat_conversion,[],[f1175]) ).
cnf(s136,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f1190]) ).
cnf(s140,plain,
( ~ spl0_18
| ~ spl0_34 ),
inference(sat_conversion,[],[f1202]) ).
cnf(s141,plain,
( ~ spl0_4
| ~ spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f1207]) ).
cnf(s146,plain,
( spl0_13
| ~ spl0_38 ),
inference(sat_conversion,[],[f1263]) ).
cnf(s147,plain,
( spl0_18
| ~ spl0_39 ),
inference(sat_conversion,[],[f1270]) ).
cnf(s149,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f1278]) ).
cnf(s152,plain,
( ~ spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f1294]) ).
cnf(s156,plain,
( ~ spl0_14
| ~ spl0_38 ),
inference(sat_conversion,[],[f1315]) ).
cnf(s157,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f1318]) ).
cnf(s158,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_14 ),
inference(sat_conversion,[],[f1333]) ).
cnf(s159,plain,
( ~ spl0_6
| ~ spl0_29 ),
inference(sat_conversion,[],[f1351]) ).
cnf(s162,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_16 ),
inference(sat_conversion,[],[f1362]) ).
cnf(s163,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_16 ),
inference(sat_conversion,[],[f1364]) ).
cnf(s166,plain,
( ~ spl0_22
| spl0_35 ),
inference(sat_conversion,[],[f1370]) ).
cnf(s168,plain,
( ~ spl0_7
| spl0_32 ),
inference(sat_conversion,[],[f1385]) ).
cnf(s169,plain,
( ~ spl0_25
| spl0_50 ),
inference(sat_conversion,[],[f1392]) ).
cnf(s172,plain,
( ~ spl0_4
| ~ spl0_23 ),
inference(sat_conversion,[],[f1418]) ).
cnf(s174,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(sat_conversion,[],[f1424]) ).
cnf(s177,plain,
( ~ spl0_20
| ~ spl0_50 ),
inference(sat_conversion,[],[f1454]) ).
cnf(s182,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(sat_conversion,[],[f1468]) ).
cnf(s185,plain,
( spl0_6
| ~ spl0_27 ),
inference(sat_conversion,[],[f1476]) ).
cnf(s186,plain,
( spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f1483]) ).
cnf(s187,plain,
( ~ spl0_22
| ~ spl0_30 ),
inference(sat_conversion,[],[f1512]) ).
cnf(s189,plain,
( ~ spl0_13
| ~ spl0_33 ),
inference(sat_conversion,[],[f1524]) ).
cnf(s194,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(sat_conversion,[],[f1552]) ).
cnf(s198,plain,
( ~ spl0_13
| spl0_38 ),
inference(sat_conversion,[],[f1555]) ).
cnf(s202,plain,
( ~ spl0_11
| ~ spl0_13 ),
inference(sat_conversion,[],[f1588]) ).
cnf(s203,plain,
( ~ spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f1592]) ).
cnf(s208,plain,
( spl0_21
| ~ spl0_30 ),
inference(sat_conversion,[],[f1611]) ).
cnf(s209,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(sat_conversion,[],[f1622]) ).
cnf(s211,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_18 ),
inference(sat_conversion,[],[f1634]) ).
cnf(s216,plain,
( ~ spl0_16
| spl0_29 ),
inference(sat_conversion,[],[f1636]) ).
cnf(s219,plain,
( ~ spl0_3
| ~ spl0_24 ),
inference(sat_conversion,[],[f1667]) ).
cnf(s220,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(sat_conversion,[],[f1670]) ).
cnf(s225,plain,
( ~ spl0_2
| ~ spl0_24 ),
inference(sat_conversion,[],[f1703]) ).
cnf(s226,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_16 ),
inference(sat_conversion,[],[f1707]) ).
cnf(s235,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f1744]) ).
cnf(s243,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(sat_conversion,[],[f1778]) ).
cnf(s249,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_17 ),
inference(sat_conversion,[],[f1805]) ).
cnf(s256,plain,
( ~ spl0_3
| ~ spl0_21 ),
inference(sat_conversion,[],[f1839]) ).
cnf(s257,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_17 ),
inference(sat_conversion,[],[f1841]) ).
cnf(s259,plain,
( ~ spl0_19
| spl0_44 ),
inference(sat_conversion,[],[f1843]) ).
cnf(s267,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(sat_conversion,[],[f1873]) ).
cnf(s273,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_14 ),
inference(sat_conversion,[],[f1900]) ).
cnf(s284,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_17 ),
inference(sat_conversion,[],[f1934]) ).
cnf(s288,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_18 ),
inference(sat_conversion,[],[f1952]) ).
cnf(s291,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(sat_conversion,[],[f1971]) ).
cnf(s296,plain,
( ~ spl0_10
| ~ spl0_50 ),
inference(sat_conversion,[],[f1990]) ).
cnf(s303,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_19 ),
inference(sat_conversion,[],[f2016]) ).
cnf(s304,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_19 ),
inference(sat_conversion,[],[f2018]) ).
cnf(s305,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_12 ),
inference(sat_conversion,[],[f2020]) ).
cnf(s314,plain,
( ~ spl0_5
| ~ spl0_50 ),
inference(sat_conversion,[],[f2042]) ).
cnf(s318,plain,
( ~ spl0_2
| ~ spl0_34 ),
inference(sat_conversion,[],[f2058]) ).
cnf(s323,plain,
( ~ spl0_3
| ~ spl0_38 ),
inference(sat_conversion,[],[f2076]) ).
cnf(s341,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f2139]) ).
cnf(s344,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f2155]) ).
cnf(s347,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(sat_conversion,[],[f2171]) ).
cnf(s352,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f2189]) ).
cnf(s361,plain,
( ~ spl0_2
| ~ spl0_35 ),
inference(sat_conversion,[],[f2216]) ).
cnf(s362,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f2218]) ).
cnf(s363,plain,
( ~ spl0_9
| ~ spl0_27 ),
inference(sat_conversion,[],[f2220]) ).
cnf(s371,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(sat_conversion,[],[f2247]) ).
cnf(s379,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_18 ),
inference(sat_conversion,[],[f2269]) ).
cnf(s380,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f2271]) ).
cnf(s383,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_19 ),
inference(sat_conversion,[],[f2284]) ).
cnf(s390,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_16 ),
inference(sat_conversion,[],[f2302]) ).
cnf(s391,plain,
~ spl0_5,
inference(rat,[],[s5,s169,s60,s61,s62,s63,s314]) ).
cnf(s392,plain,
~ spl0_46,
inference(rat,[],[s25,s391]) ).
cnf(s393,plain,
( ~ spl0_10
| spl0_37
| ~ spl0_4
| spl0_36 ),
inference(rat,[],[s3,s141,s118,s152,s147,s8,s146,s128,s130,s132,s99,s172]) ).
cnf(s394,plain,
( ~ spl0_13
| spl0_32
| spl0_27
| ~ spl0_4
| spl0_31
| spl0_26 ),
inference(rat,[],[s131,s187,s7,s6,s38,s186,s48,s126,s163,s189,s202]) ).
cnf(s395,plain,
( spl0_37
| spl0_38
| spl0_7
| spl0_6
| ~ spl0_4
| spl0_36 ),
inference(rat,[],[s209,s147,s2,s8,s393,s157,s99,s172]) ).
cnf(s396,plain,
( spl0_16
| spl0_11
| spl0_12
| spl0_32
| spl0_27
| ~ spl0_4
| spl0_31
| spl0_26 ),
inference(rat,[],[s38,s120,s7,s3,s131,s187,s6,s141,s186,s394,s36,s48]) ).
cnf(s397,plain,
( spl0_11
| spl0_14
| spl0_12
| spl0_32
| spl0_27
| ~ spl0_4
| spl0_31
| spl0_26 ),
inference(rat,[],[s117,s3,s396,s394]) ).
cnf(s398,plain,
( spl0_7
| spl0_6
| ~ spl0_4
| spl0_36
| spl0_31
| spl0_26 ),
inference(rat,[],[s54,s397,s158,s194,s13,s395,s146,s394,s78,s185]) ).
cnf(s399,plain,
( ~ spl0_18
| spl0_47
| spl0_49
| spl0_28
| spl0_27
| ~ spl0_4
| spl0_26 ),
inference(rat,[],[s30,s29,s208,s10,s6,s27,s186,s118,s152,s392]) ).
cnf(s400,plain,
( spl0_6
| ~ spl0_4
| spl0_36
| spl0_31
| spl0_26 ),
inference(rat,[],[s146,s163,s8,s4,s147,s399,s13,s26,s28,s35,s77,s48,s122,s125,s168,s174,s398,s185,s99,s172,s259,s111]) ).
cnf(s401,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s146,s126,s8,s13,s4,s147,s15,s162,s182,s211,s400,s259,s99,s111,s172,s1,s12,s84,s64,s391]) ).
cnf(s402,plain,
( ~ spl0_11
| spl0_7
| spl0_8
| spl0_6
| ~ spl0_3 ),
inference(rat,[],[s2,s344,s341]) ).
cnf(s403,plain,
( spl0_11
| spl0_27
| ~ spl0_3
| spl0_26 ),
inference(rat,[],[s18,s9,s220,s19,s3,s22,s235,s352,s24,s186,s6,s48,s198,s323,s208,s256,s41,s219,s17,s149]) ).
cnf(s404,plain,
( spl0_6
| ~ spl0_3
| spl0_26 ),
inference(rat,[],[s109,s402,s57,s22,s9,s18,s19,s341,s21,s403,s185,s41,s219,s17,s149]) ).
cnf(s405,plain,
( ~ spl0_3
| spl0_26 ),
inference(rat,[],[s257,s19,s4,s9,s216,s22,s18,s159,s267,s347,s362,s404,s203,s17,s41,s107,s149,s219]) ).
cnf(s406,plain,
( ~ spl0_9
| spl0_27
| spl0_1 ),
inference(rat,[],[s6,s48,s186,s380,s390,s208,s243,s401,s405,s84]) ).
cnf(s407,plain,
( spl0_16
| spl0_27
| spl0_1 ),
inference(rat,[],[s4,s379,s383,s48,s6,s186,s119,s318,s208,s177,s169,s5,s166,s361,s69,s225,s243,s401,s405,s84]) ).
cnf(s408,plain,
( spl0_27
| spl0_1 ),
inference(rat,[],[s19,s156,s9,s8,s13,s22,s147,s226,s24,s152,s407,s18,s406,s12,s41,s225,s17,s136,s99,s69,s401,s405,s84]) ).
cnf(s409,plain,
( spl0_3
| spl0_1 ),
inference(rat,[],[s9,s19,s22,s273,s371,s18,s185,s363,s408,s17,s41,s136,s225,s401]) ).
cnf(s410,plain,
spl0_1,
inference(rat,[],[s409,s405,s84]) ).
cnf(s411,plain,
~ spl0_24,
inference(rat,[],[s104,s410]) ).
cnf(s412,plain,
~ spl0_22,
inference(rat,[],[s103,s410]) ).
cnf(s413,plain,
~ spl0_21,
inference(rat,[],[s101,s410]) ).
cnf(s414,plain,
~ spl0_23,
inference(rat,[],[s98,s410]) ).
cnf(s415,plain,
~ spl0_4,
inference(rat,[],[s96,s410]) ).
cnf(s416,plain,
spl0_26,
inference(rat,[],[s74,s410]) ).
cnf(s417,plain,
~ spl0_29,
inference(rat,[],[s72,s410]) ).
cnf(s418,plain,
~ spl0_45,
inference(rat,[],[s41,s411]) ).
cnf(s419,plain,
~ spl0_35,
inference(rat,[],[s131,s412]) ).
cnf(s420,plain,
spl0_25,
inference(rat,[],[s5,s413,s411,s414,s412]) ).
cnf(s422,plain,
~ spl0_40,
inference(rat,[],[s99,s414]) ).
cnf(s423,plain,
~ spl0_41,
inference(rat,[],[s17,s415]) ).
cnf(s424,plain,
~ spl0_2,
inference(rat,[],[s11,s416]) ).
cnf(s425,plain,
~ spl0_16,
inference(rat,[],[s216,s417]) ).
cnf(s426,plain,
spl0_50,
inference(rat,[],[s169,s420]) ).
cnf(s427,plain,
~ spl0_31,
inference(rat,[],[s64,s424]) ).
cnf(s431,plain,
~ spl0_10,
inference(rat,[],[s296,s426]) ).
cnf(s433,plain,
~ spl0_20,
inference(rat,[],[s177,s426]) ).
cnf(s434,plain,
( spl0_7
| spl0_8
| spl0_6 ),
inference(rat,[],[s4,s288,s304,s36,s7,s38,s284,s2,s78,s425,s433,s410,s427,s419,s431]) ).
cnf(s435,plain,
( spl0_8
| spl0_36
| spl0_6 ),
inference(rat,[],[s8,s146,s147,s91,s291,s434,s13,s422,s410]) ).
cnf(s436,plain,
~ spl0_8,
inference(rat,[],[s22,s9,s304,s19,s36,s67,s7,s38,s18,s249,s35,s45,s423,s418,s410,s427,s419]) ).
cnf(s437,plain,
~ spl0_37,
inference(rat,[],[s13,s436]) ).
cnf(s438,plain,
spl0_6,
inference(rat,[],[s22,s9,s109,s19,s18,s12,s82,s93,s435,s434,s423,s418,s410,s436]) ).
cnf(s439,plain,
~ spl0_9,
inference(rat,[],[s362,s438]) ).
cnf(s440,plain,
~ spl0_12,
inference(rat,[],[s305,s410,s438]) ).
cnf(s441,plain,
~ spl0_19,
inference(rat,[],[s303,s410,s438]) ).
cnf(s443,plain,
~ spl0_7,
inference(rat,[],[s81,s438]) ).
cnf(s444,plain,
~ spl0_42,
inference(rat,[],[s18,s439]) ).
cnf(s445,plain,
~ spl0_33,
inference(rat,[],[s36,s440]) ).
cnf(s446,plain,
~ spl0_44,
inference(rat,[],[s22,s441]) ).
cnf(s447,plain,
~ spl0_32,
inference(rat,[],[s78,s443]) ).
cnf(s448,plain,
spl0_34,
inference(rat,[],[s7,s419,s447,s427,s445]) ).
cnf(s449,plain,
spl0_43,
inference(rat,[],[s9,s418,s444,s423,s446]) ).
cnf(s450,plain,
~ spl0_18,
inference(rat,[],[s140,s448]) ).
cnf(s451,plain,
spl0_17,
inference(rat,[],[s38,s448]) ).
cnf(s452,plain,
spl0_14,
inference(rat,[],[s19,s449]) ).
cnf(s453,plain,
~ spl0_39,
inference(rat,[],[s147,s450]) ).
cnf(s455,plain,
~ spl0_3,
inference(rat,[],[s257,s451,s452]) ).
cnf(s456,plain,
~ spl0_38,
inference(rat,[],[s156,s452]) ).
cnf(s458,plain,
~ spl0_36,
inference(rat,[],[s12,s455]) ).
cnf(s459,plain,
$false,
inference(rat,[],[s8,s422,s437,s453,s458,s456]) ).
fof(f2303,plain,
$false,
inference(avatar_sat_refutation,[],[s459]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG082+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n007.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 19:23:25 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.21/1.10 % (2729754)Detected formulas, will run a generic FOF schedule.
% 3.21/1.10 % (2729763)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3978332901:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.21/1.10 % (2729763)Instruction limit reached!
% 3.21/1.10 % (2729763)------------------------------
% 3.21/1.10 % (2729763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.10 % (2729763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.10 % (2729763)CaDiCaL version: 2.1.3
% 3.21/1.10 % (2729763)Termination reason: Instruction limit
% 3.21/1.10 % (2729763)Termination phase: Saturation
% 3.21/1.10 % (2729763)Time elapsed: 0.028 s
% 3.21/1.10 % (2729763)Peak memory usage: 87 MB
% 3.21/1.10 % (2729763)Instructions burned: 122 (million)
% 3.21/1.10 % (2729764)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4260073883:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.21/1.10 % (2729765)dis-21_1_sil=8000:lcm=predicate:random_seed=2845862344:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.21/1.10 % (2729761)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1368691597:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.21/1.10 % (2729759)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=891462109:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.21/1.10 % (2729762)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3221302964:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.21/1.10 % (2729760)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=376634366:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.21/1.10 % (2729765)Refutation not found, incomplete strategy
% 3.21/1.10 % (2729765)------------------------------
% 3.21/1.10 % (2729765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.10 % (2729765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.10 % (2729765)CaDiCaL version: 2.1.3
% 3.21/1.10 % (2729765)Termination reason: Refutation not found, incomplete strategy
% 3.21/1.10 % (2729765)Time elapsed: 0.005 s
% 3.21/1.10 % (2729765)Peak memory usage: 88 MB
% 3.21/1.10 % (2729765)Instructions burned: 8 (million)
% 3.21/1.10 % (2729762)Instruction limit reached!
% 3.21/1.10 % (2729762)------------------------------
% 3.21/1.10 % (2729762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.10 % (2729762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.10 % (2729762)CaDiCaL version: 2.1.3
% 3.21/1.10 % (2729762)Termination reason: Instruction limit
% 3.21/1.10 % (2729762)Termination phase: Saturation
% 3.21/1.10 % (2729762)Time elapsed: 0.060 s
% 3.21/1.10 % (2729762)Peak memory usage: 89 MB
% 3.21/1.10 % (2729762)Instructions burned: 110 (million)
% 3.21/1.10 % (2729764)Instruction limit reached!
% 3.21/1.10 % (2729764)------------------------------
% 3.21/1.10 % (2729764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.10 % (2729764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.10 % (2729764)CaDiCaL version: 2.1.3
% 3.21/1.10 % (2729764)Termination reason: Instruction limit
% 3.21/1.10 % (2729764)Termination phase: Saturation
% 3.21/1.10 % (2729764)Time elapsed: 0.076 s
% 3.21/1.10 % (2729764)Peak memory usage: 89 MB
% 3.21/1.10 % (2729764)Instructions burned: 139 (million)
% 3.21/1.10 % (2729767)lrs+10_1_sil=8000:sp=occurrence:random_seed=2967866903:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.21/1.10 % (2729767)First to succeed.
% 3.21/1.10 % (2729767)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2729754"
% 3.21/1.10 % (2729774)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2064950827:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.21/1.10 % (2729775)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2215838325:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.21/1.10 % (2729765)------------------------------
% 3.21/1.10 % (2729765)------------------------------
% 3.21/1.10 % (2729774)Also succeeded, but the first one will report.
% 3.21/1.10 % (2729775)Also succeeded, but the first one will report.
% 3.21/1.10 % (2729767)Refutation found. Thanks to Tanya!
% 3.21/1.10 % SZS status Theorem for theBenchmark
% 3.21/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 3.82/1.29 % (2729767)------------------------------
% 3.82/1.29 % (2729767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.29 % (2729767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.29 % (2729767)CaDiCaL version: 2.1.3
% 3.82/1.29 % (2729767)Termination reason: Refutation
% 3.82/1.29 % (2729767)Time elapsed: 0.024 s
% 3.82/1.29 % (2729767)Peak memory usage: 90 MB
% 3.82/1.29 % (2729767)Instructions burned: 78 (million)
% 3.82/1.29 % (2729767)------------------------------
% 3.82/1.29 % (2729767)------------------------------
% 3.82/1.29 % (2729754)Success in time 0.46 s
% 3.82/1.29 % Vampire exiting
%------------------------------------------------------------------------------