%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG078+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 09:21:20 AM UTC 2026
% Result : Theorem 0.44s 0.29s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 55
% Syntax : Number of formulae : 1009 ( 93 unt; 50 def)
% Number of atoms : 3111 (1077 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 3732 (1630 ~;1710 |; 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) = e13
& op1(e11,e13) = e10
& op1(e11,e14) = e12
& op1(e12,e10) = e12
& op1(e12,e11) = e10
& op1(e12,e12) = e14
& op1(e12,e13) = e11
& op1(e12,e14) = e13
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e10
& op1(e13,e13) = e14
& op1(e13,e14) = e11
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e12
& op1(e14,e14) = e10 ),
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) = e22
& op2(e21,e22) = e24
& op2(e21,e23) = e20
& op2(e21,e24) = e23
& op2(e22,e20) = e22
& op2(e22,e21) = e20
& op2(e22,e22) = e23
& op2(e22,e23) = e24
& op2(e22,e24) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e24
& op2(e23,e22) = e20
& op2(e23,e23) = e21
& op2(e23,e24) = e22
& 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,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
e12 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f12,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f14,plain,
e11 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f15,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f16,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f17,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
e23 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
e22 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f22,plain,
e22 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f25,plain,
e21 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f28,plain,
e20 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
e20 != e21,
inference(cnf_transformation,[],[f2]) ).
fof(f55,plain,
e10 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f56,plain,
e12 = op1(e14,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f57,plain,
e11 = op1(e14,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f60,plain,
e11 = op1(e13,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f62,plain,
e10 = op1(e13,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f63,plain,
e12 = op1(e13,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f66,plain,
e11 = op1(e12,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f68,plain,
e10 = op1(e12,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f69,plain,
e12 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f70,plain,
e12 = op1(e11,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f71,plain,
e10 = op1(e11,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f72,plain,
e13 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f74,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f78,plain,
e11 = op1(e10,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f79,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
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(f85,plain,
e22 = op2(e23,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f87,plain,
e20 = op2(e23,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f88,plain,
e24 = op2(e23,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
fof(f106,plain,
( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f107,plain,
( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f108,plain,
( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f109,plain,
( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) ),
inference(cnf_transformation,[],[f9]) ).
fof(f110,plain,
( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) ),
inference(cnf_transformation,[],[f9]) ).
fof(f111,plain,
( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f112,plain,
( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
fof(f113,plain,
( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
fof(f114,plain,
( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f115,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f116,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f117,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f118,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f119,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f120,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f121,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f122,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f123,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f124,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f125,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f126,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f127,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f128,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f129,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f130,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f132,plain,
j(op2(e23,e22)) = op1(j(e23),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f133,plain,
j(op2(e23,e21)) = op1(j(e23),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f176,definition,
( spl0_1
<=> e20 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f177,plain,
( e20 != h(e10)
| spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( e20 = h(e10)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl0_2
<=> e21 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f182,plain,
( e21 = h(e10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl0_3
<=> e22 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f186,plain,
( e22 = h(e10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl0_4
<=> e23 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f190,plain,
( e23 = h(e10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl0_5
<=> e24 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f194,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f105,f192,f188,f184,f180,f176]) ).
fof(f197,definition,
( spl0_6
<=> e20 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f199,plain,
( e20 = h(e11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl0_7
<=> e21 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f202,plain,
( e21 != h(e11)
| spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f203,plain,
( e21 = h(e11)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl0_8
<=> e22 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f206,plain,
( e22 != h(e11)
| spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f207,plain,
( e22 = h(e11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_9
<=> e23 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f210,plain,
( e23 != h(e11)
| spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f211,plain,
( e23 = h(e11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_10
<=> e24 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f215,plain,
( e24 = h(e11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f106,f213,f209,f205,f201,f197]) ).
fof(f218,definition,
( spl0_11
<=> e20 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f219,plain,
( e20 != h(e12)
| spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( e20 = h(e12)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_12
<=> e21 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f224,plain,
( e21 = h(e12)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl0_13
<=> e22 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f227,plain,
( e22 != h(e12)
| spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( e22 = h(e12)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl0_14
<=> e23 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f231,plain,
( e23 != h(e12)
| spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f232,plain,
( e23 = h(e12)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl0_15
<=> e24 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f236,plain,
( e24 = h(e12)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f107,f234,f230,f226,f222,f218]) ).
fof(f239,definition,
( spl0_16
<=> e20 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f240,plain,
( e20 != h(e13)
| spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f241,plain,
( e20 = h(e13)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f243,definition,
( spl0_17
<=> e21 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f244,plain,
( e21 != h(e13)
| spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f245,plain,
( e21 = h(e13)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl0_18
<=> e22 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f248,plain,
( e22 != h(e13)
| spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f249,plain,
( e22 = h(e13)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl0_19
<=> e23 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f252,plain,
( e23 != h(e13)
| spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( e23 = h(e13)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_20
<=> e24 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f257,plain,
( e24 = h(e13)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f108,f255,f251,f247,f243,f239]) ).
fof(f260,definition,
( spl0_21
<=> e20 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f261,plain,
( e20 != h(e14)
| spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( e20 = h(e14)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl0_22
<=> e21 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f265,plain,
( e21 != h(e14)
| spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( e21 = h(e14)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_23
<=> e22 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f269,plain,
( e22 != h(e14)
| spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f270,plain,
( e22 = h(e14)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_24
<=> e23 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f273,plain,
( e23 != h(e14)
| spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f274,plain,
( e23 = h(e14)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl0_25
<=> e24 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f278,plain,
( e24 = h(e14)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f109,f276,f272,f268,f264,f260]) ).
fof(f281,definition,
( spl0_26
<=> e10 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f283,plain,
( e10 = j(e20)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl0_27
<=> e11 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f287,plain,
( e11 = j(e20)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f289,definition,
( spl0_28
<=> e12 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f291,plain,
( e12 = j(e20)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,definition,
( spl0_29
<=> e13 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f295,plain,
( e13 = j(e20)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl0_30
<=> e14 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f299,plain,
( e14 = j(e20)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f110,f297,f293,f289,f285,f281]) ).
fof(f302,definition,
( spl0_31
<=> e10 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f304,plain,
( e10 = j(e21)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl0_32
<=> e11 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f308,plain,
( e11 = j(e21)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl0_33
<=> e12 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f311,plain,
( e12 != j(e21)
| spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f312,plain,
( e12 = j(e21)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl0_34
<=> e13 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f316,plain,
( e13 = j(e21)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl0_35
<=> e14 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f320,plain,
( e14 = j(e21)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f111,f318,f314,f310,f306,f302]) ).
fof(f323,definition,
( spl0_36
<=> e10 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f325,plain,
( e10 = j(e22)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl0_37
<=> e11 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f328,plain,
( e11 != j(e22)
| spl0_37 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f329,plain,
( e11 = j(e22)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl0_38
<=> e12 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f333,plain,
( e12 = j(e22)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl0_39
<=> e13 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f337,plain,
( e13 = j(e22)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl0_40
<=> e14 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f341,plain,
( e14 = j(e22)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f112,f339,f335,f331,f327,f323]) ).
fof(f344,definition,
( spl0_41
<=> e10 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f346,plain,
( e10 = j(e23)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f348,definition,
( spl0_42
<=> e11 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f350,plain,
( e11 = j(e23)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f352,definition,
( spl0_43
<=> e12 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f354,plain,
( e12 = j(e23)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f356,definition,
( spl0_44
<=> e13 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f358,plain,
( e13 = j(e23)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl0_45
<=> e14 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f362,plain,
( e14 = j(e23)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f113,f360,f356,f352,f348,f344]) ).
fof(f365,definition,
( spl0_46
<=> e10 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f367,plain,
( e10 = j(e24)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl0_47
<=> e11 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f371,plain,
( e11 = j(e24)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f373,definition,
( spl0_48
<=> e12 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f375,plain,
( e12 = j(e24)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f377,definition,
( spl0_49
<=> e13 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f379,plain,
( e13 = j(e24)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f381,definition,
( spl0_50
<=> e14 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f383,plain,
( e14 = j(e24)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f384,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f114,f381,f377,f373,f369,f365]) ).
fof(f385,plain,
( e14 = j(e20)
| ~ spl0_21 ),
inference(superposition,[],[f115,f262]) ).
fof(f386,plain,
( e10 = e14
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f385,f283]) ).
fof(f387,plain,
( $false
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f386,f16]) ).
fof(f388,plain,
( ~ spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f390,plain,
( e14 = j(e21)
| ~ spl0_22 ),
inference(superposition,[],[f115,f266]) ).
fof(f396,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f403,plain,
( e14 = j(e23)
| ~ spl0_24 ),
inference(superposition,[],[f115,f274]) ).
fof(f411,plain,
( e14 = j(e24)
| ~ spl0_25 ),
inference(superposition,[],[f115,f278]) ).
fof(f426,plain,
( e13 = j(e20)
| ~ spl0_16 ),
inference(superposition,[],[f116,f241]) ).
fof(f427,plain,
( spl0_29
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f426,f239,f293]) ).
fof(f429,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(superposition,[],[f116,f245]) ).
fof(f435,plain,
( e13 = j(e22)
| ~ spl0_18 ),
inference(superposition,[],[f116,f249]) ).
fof(f436,plain,
( e10 = e13
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_demodulation,[],[f435,f325]) ).
fof(f437,plain,
( $false
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f436,f17]) ).
fof(f438,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f442,plain,
( e13 = j(e23)
| ~ spl0_19 ),
inference(superposition,[],[f116,f253]) ).
fof(f443,plain,
( e10 = e13
| ~ spl0_19
| ~ spl0_41 ),
inference(forward_demodulation,[],[f442,f346]) ).
fof(f444,plain,
( $false
| ~ spl0_19
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f443,f17]) ).
fof(f445,plain,
( ~ spl0_19
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f450,plain,
( e13 = j(e24)
| ~ spl0_20 ),
inference(superposition,[],[f116,f257]) ).
fof(f467,plain,
( spl0_35
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f390,f264,f318]) ).
fof(f482,plain,
( e12 = j(e22)
| ~ spl0_13 ),
inference(superposition,[],[f117,f228]) ).
fof(f488,plain,
( e12 = j(e23)
| ~ spl0_14 ),
inference(superposition,[],[f117,f232]) ).
fof(f493,plain,
( e11 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f118,f199]) ).
fof(f497,plain,
( e11 = j(e24)
| ~ spl0_10 ),
inference(superposition,[],[f118,f215]) ).
fof(f502,plain,
( e10 = j(e21)
| ~ spl0_2 ),
inference(superposition,[],[f119,f182]) ).
fof(f506,plain,
( e10 = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f119,f178]) ).
fof(f519,plain,
( e10 = j(e23)
| ~ spl0_4 ),
inference(superposition,[],[f119,f190]) ).
fof(f525,plain,
( e10 = j(e24)
| ~ spl0_5 ),
inference(superposition,[],[f119,f194]) ).
fof(f530,plain,
( e11 = j(e23)
| ~ spl0_9 ),
inference(superposition,[],[f118,f211]) ).
fof(f531,plain,
( spl0_42
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f530,f209,f348]) ).
fof(f535,plain,
( e11 = j(e21)
| ~ spl0_7 ),
inference(superposition,[],[f118,f203]) ).
fof(f536,plain,
( spl0_32
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f535,f201,f306]) ).
fof(f541,plain,
( e11 = j(e22)
| ~ spl0_8 ),
inference(superposition,[],[f118,f207]) ).
fof(f542,plain,
( e10 = e11
| ~ spl0_8
| ~ spl0_36 ),
inference(forward_demodulation,[],[f541,f325]) ).
fof(f543,plain,
( $false
| ~ spl0_8
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f542,f19]) ).
fof(f544,plain,
( ~ spl0_8
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f543]) ).
fof(f553,plain,
( e24 = h(e10)
| ~ spl0_46 ),
inference(superposition,[],[f120,f367]) ).
fof(f554,plain,
( e23 = h(e12)
| ~ spl0_43 ),
inference(superposition,[],[f121,f354]) ).
fof(f555,plain,
( e22 = h(e11)
| ~ spl0_37 ),
inference(superposition,[],[f122,f329]) ).
fof(f556,plain,
( e21 = h(e14)
| ~ spl0_35 ),
inference(superposition,[],[f123,f320]) ).
fof(f557,plain,
( e20 = h(e13)
| ~ spl0_29 ),
inference(superposition,[],[f124,f295]) ).
fof(f558,plain,
( op1(e10,e10) = j(op2(e24,e24))
| ~ spl0_46 ),
inference(superposition,[],[f125,f367]) ).
fof(f559,plain,
( op1(e10,e10) = j(e20)
| ~ spl0_46 ),
inference(forward_demodulation,[],[f558,f80]) ).
fof(f560,plain,
( e13 = op1(e10,e10)
| ~ spl0_29
| ~ spl0_46 ),
inference(forward_demodulation,[],[f559,f295]) ).
fof(f561,plain,
( e10 = e13
| ~ spl0_29
| ~ spl0_46 ),
inference(forward_demodulation,[],[f560,f79]) ).
fof(f562,plain,
( $false
| ~ spl0_29
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f561,f17]) ).
fof(f563,plain,
( ~ spl0_29
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f564,plain,
( spl0_41
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f519,f188,f344]) ).
fof(f566,plain,
( e11 = e12
| ~ spl0_13
| ~ spl0_37 ),
inference(forward_demodulation,[],[f482,f329]) ).
fof(f571,plain,
( $false
| ~ spl0_13
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f566,f15]) ).
fof(f572,plain,
( ~ spl0_13
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f571]) ).
fof(f580,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f119,f186]) ).
fof(f583,plain,
( $false
| spl0_14
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f554,f231]) ).
fof(f584,plain,
( spl0_14
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f594,plain,
( e12 = j(e24)
| ~ spl0_15 ),
inference(superposition,[],[f117,f236]) ).
fof(f595,plain,
( spl0_48
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f594,f234,f373]) ).
fof(f596,plain,
( e23 = h(e10)
| ~ spl0_41 ),
inference(superposition,[],[f121,f346]) ).
fof(f599,plain,
( e24 = h(e12)
| ~ spl0_48 ),
inference(superposition,[],[f120,f375]) ).
fof(f602,plain,
( e12 = e13
| ~ spl0_48
| ~ spl0_49 ),
inference(superposition,[],[f379,f375]) ).
fof(f606,plain,
( e24 = h(e13)
| ~ spl0_49 ),
inference(superposition,[],[f120,f379]) ).
fof(f607,plain,
( e20 = e24
| ~ spl0_16
| ~ spl0_49 ),
inference(forward_demodulation,[],[f606,f241]) ).
fof(f611,plain,
( $false
| ~ spl0_48
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f602,f12]) ).
fof(f612,plain,
( ~ spl0_48
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f613,plain,
( $false
| ~ spl0_16
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f607,f26]) ).
fof(f614,plain,
( ~ spl0_16
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f613]) ).
fof(f618,plain,
( j(op2(e24,e23)) = op1(e12,j(e23))
| ~ spl0_48 ),
inference(superposition,[],[f126,f375]) ).
fof(f619,plain,
( j(op2(e24,e23)) = op1(j(e24),e10)
| ~ spl0_41 ),
inference(superposition,[],[f126,f346]) ).
fof(f621,plain,
( op1(e12,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f618,f346]) ).
fof(f623,plain,
( op1(e12,e10) = j(e22)
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f621,f81]) ).
fof(f626,plain,
( j(op2(e24,e22)) = op1(e12,j(e22))
| ~ spl0_48 ),
inference(superposition,[],[f127,f375]) ).
fof(f629,plain,
( op1(e12,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f626,f329]) ).
fof(f631,plain,
( op1(e12,e11) = j(e21)
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f629,f82]) ).
fof(f633,plain,
( e14 = op1(e12,e11)
| ~ spl0_35
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f631,f320]) ).
fof(f635,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f633,f68]) ).
fof(f638,plain,
( $false
| ~ spl0_35
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f635,f16]) ).
fof(f639,plain,
( ~ spl0_35
| ~ spl0_37
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f638]) ).
fof(f640,plain,
( $false
| ~ spl0_8
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f541,f328]) ).
fof(f641,plain,
( ~ spl0_8
| spl0_37 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f647,plain,
( spl0_47
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f497,f213,f369]) ).
fof(f655,plain,
( e22 = h(e12)
| ~ spl0_38 ),
inference(superposition,[],[f122,f333]) ).
fof(f657,plain,
( $false
| spl0_13
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f655,f227]) ).
fof(f658,plain,
( spl0_13
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f672,plain,
( e22 = e24
| ~ spl0_13
| ~ spl0_48 ),
inference(forward_demodulation,[],[f599,f228]) ).
fof(f673,plain,
( $false
| ~ spl0_13
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f672,f21]) ).
fof(f674,plain,
( ~ spl0_13
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f681,plain,
( e21 = e24
| ~ spl0_12
| ~ spl0_48 ),
inference(forward_demodulation,[],[f599,f224]) ).
fof(f683,plain,
( $false
| ~ spl0_12
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f681,f23]) ).
fof(f684,plain,
( ~ spl0_12
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f691,plain,
( e14 = op1(e12,e10)
| ~ spl0_40
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f623,f341]) ).
fof(f695,plain,
( e12 = e14
| ~ spl0_40
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f691,f69]) ).
fof(f699,plain,
( $false
| ~ spl0_40
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f695,f11]) ).
fof(f700,plain,
( ~ spl0_40
| ~ spl0_41
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f708,plain,
( e13 = op1(e12,e10)
| ~ spl0_39
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f623,f337]) ).
fof(f709,plain,
( op1(e12,e13) = j(op2(e24,e22))
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f626,f337]) ).
fof(f711,plain,
( e12 = e13
| ~ spl0_39
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f708,f69]) ).
fof(f712,plain,
( op1(e12,e13) = j(e21)
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f709,f82]) ).
fof(f715,plain,
( $false
| ~ spl0_39
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f711,f12]) ).
fof(f716,plain,
( ~ spl0_39
| ~ spl0_41
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f717,plain,
( e14 = op1(e12,e13)
| ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f712,f320]) ).
fof(f718,plain,
( e11 = e14
| ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f717,f66]) ).
fof(f719,plain,
( $false
| ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f718,f13]) ).
fof(f720,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f721,plain,
( spl0_38
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f482,f226,f331]) ).
fof(f725,plain,
( op1(e11,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f619,f371]) ).
fof(f726,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f725,f81]) ).
fof(f727,plain,
( e13 = op1(e11,e10)
| ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f726,f337]) ).
fof(f728,plain,
( e11 = e13
| ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f727,f74]) ).
fof(f729,plain,
( $false
| ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f728,f14]) ).
fof(f730,plain,
( ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f729]) ).
fof(f731,plain,
( spl0_36
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f580,f184,f323]) ).
fof(f733,plain,
( spl0_43
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f488,f230,f352]) ).
fof(f743,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
fof(f744,plain,
( $false
| ~ spl0_12
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f743,f311]) ).
fof(f745,plain,
( ~ spl0_12
| spl0_33 ),
inference(avatar_contradiction_clause,[],[f744]) ).
fof(f752,plain,
( e20 = h(e12)
| ~ spl0_28 ),
inference(superposition,[],[f124,f291]) ).
fof(f766,plain,
( j(op2(e24,e22)) = op1(j(e24),e10)
| ~ spl0_36 ),
inference(superposition,[],[f127,f325]) ).
fof(f767,plain,
( e22 = h(e10)
| ~ spl0_36 ),
inference(superposition,[],[f122,f325]) ).
fof(f768,plain,
( op1(e11,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f766,f371]) ).
fof(f769,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f768,f82]) ).
fof(f770,plain,
( e14 = op1(e11,e10)
| ~ spl0_35
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f769,f320]) ).
fof(f771,plain,
( e11 = e14
| ~ spl0_35
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f770,f74]) ).
fof(f772,plain,
( $false
| ~ spl0_35
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f771,f13]) ).
fof(f773,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f772]) ).
fof(f774,plain,
( spl0_27
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f493,f197,f285]) ).
fof(f802,plain,
( e22 = h(e13)
| ~ spl0_39 ),
inference(superposition,[],[f122,f337]) ).
fof(f803,plain,
( $false
| spl0_18
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f802,f248]) ).
fof(f804,plain,
( spl0_18
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f803]) ).
fof(f820,plain,
( e23 = h(e11)
| ~ spl0_42 ),
inference(superposition,[],[f121,f350]) ).
fof(f824,plain,
( e11 = e12
| ~ spl0_42
| ~ spl0_43 ),
inference(superposition,[],[f354,f350]) ).
fof(f832,plain,
( $false
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f824,f15]) ).
fof(f833,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f832]) ).
fof(f852,plain,
( j(op2(e24,e22)) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f127,f333]) ).
fof(f864,plain,
( op1(e11,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f852,f371]) ).
fof(f866,plain,
( op1(e11,e12) = j(e21)
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f864,f82]) ).
fof(f868,plain,
( e14 = op1(e11,e12)
| ~ spl0_35
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f866,f320]) ).
fof(f869,plain,
( e13 = e14
| ~ spl0_35
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f868,f72]) ).
fof(f870,plain,
( $false
| ~ spl0_35
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f869,f10]) ).
fof(f871,plain,
( ~ spl0_35
| ~ spl0_38
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f870]) ).
fof(f872,plain,
( spl0_49
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f450,f255,f377]) ).
fof(f876,plain,
( op1(e13,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_49 ),
inference(forward_demodulation,[],[f852,f379]) ).
fof(f877,plain,
( $false
| spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f557,f240]) ).
fof(f878,plain,
( spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f877]) ).
fof(f880,plain,
( op1(e13,e12) = j(e21)
| ~ spl0_38
| ~ spl0_49 ),
inference(forward_demodulation,[],[f876,f82]) ).
fof(f882,plain,
( e14 = op1(e13,e12)
| ~ spl0_35
| ~ spl0_38
| ~ spl0_49 ),
inference(forward_demodulation,[],[f880,f320]) ).
fof(f883,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_38
| ~ spl0_49 ),
inference(forward_demodulation,[],[f882,f62]) ).
fof(f884,plain,
( $false
| ~ spl0_35
| ~ spl0_38
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f883,f16]) ).
fof(f885,plain,
( ~ spl0_35
| ~ spl0_38
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f884]) ).
fof(f886,plain,
( spl0_46
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f525,f192,f365]) ).
fof(f887,plain,
( e11 = e13
| ~ spl0_19
| ~ spl0_42 ),
inference(forward_demodulation,[],[f442,f350]) ).
fof(f889,plain,
( $false
| spl0_11
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f752,f219]) ).
fof(f890,plain,
( spl0_11
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f902,plain,
( $false
| ~ spl0_19
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f887,f14]) ).
fof(f903,plain,
( ~ spl0_19
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f902]) ).
fof(f914,plain,
( spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f506,f176,f281]) ).
fof(f919,plain,
( spl0_44
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f442,f251,f356]) ).
fof(f926,plain,
( e20 = e24
| ~ spl0_1
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f178]) ).
fof(f928,plain,
( $false
| ~ spl0_1
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f926,f26]) ).
fof(f929,plain,
( ~ spl0_1
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f928]) ).
fof(f946,plain,
( e20 = h(e10)
| ~ spl0_26 ),
inference(superposition,[],[f124,f283]) ).
fof(f947,plain,
( $false
| spl0_1
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f946,f177]) ).
fof(f948,plain,
( spl0_1
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f947]) ).
fof(f982,plain,
( e21 = h(e12)
| ~ spl0_33 ),
inference(superposition,[],[f123,f312]) ).
fof(f984,plain,
( spl0_12
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f982,f310,f222]) ).
fof(f990,plain,
( e21 = h(e10)
| ~ spl0_31 ),
inference(superposition,[],[f123,f304]) ).
fof(f991,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f990,f302,f180]) ).
fof(f1024,plain,
( e20 = h(e14)
| ~ spl0_30 ),
inference(superposition,[],[f124,f299]) ).
fof(f1025,plain,
( $false
| spl0_21
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1024,f261]) ).
fof(f1026,plain,
( spl0_21
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1025]) ).
fof(f1048,plain,
( e23 = h(e14)
| ~ spl0_45 ),
inference(superposition,[],[f121,f362]) ).
fof(f1049,plain,
( e20 = e23
| ~ spl0_21
| ~ spl0_45 ),
inference(forward_demodulation,[],[f1048,f262]) ).
fof(f1055,plain,
( $false
| ~ spl0_21
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1049,f27]) ).
fof(f1056,plain,
( ~ spl0_21
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f1055]) ).
fof(f1065,plain,
( op1(e10,e10) = j(op2(e24,e24))
| ~ spl0_46 ),
inference(superposition,[],[f125,f367]) ).
fof(f1067,plain,
( op1(e10,e10) = j(e20)
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1065,f80]) ).
fof(f1070,plain,
( e14 = op1(e10,e10)
| ~ spl0_30
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1067,f299]) ).
fof(f1073,plain,
( e10 = e14
| ~ spl0_30
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1070,f79]) ).
fof(f1076,plain,
( $false
| ~ spl0_30
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1073,f16]) ).
fof(f1077,plain,
( ~ spl0_30
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1076]) ).
fof(f1079,plain,
( spl0_33
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f743,f222,f310]) ).
fof(f1088,plain,
( e11 = op1(e10,e10)
| ~ spl0_27
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1067,f287]) ).
fof(f1095,plain,
( e10 = e11
| ~ spl0_27
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1088,f79]) ).
fof(f1096,plain,
( $false
| ~ spl0_27
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1095,f19]) ).
fof(f1097,plain,
( ~ spl0_27
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1096]) ).
fof(f1102,plain,
( e12 = op1(e10,e10)
| ~ spl0_28
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1067,f291]) ).
fof(f1110,plain,
( e10 = e12
| ~ spl0_28
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1102,f79]) ).
fof(f1111,plain,
( $false
| ~ spl0_28
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1110,f18]) ).
fof(f1112,plain,
( ~ spl0_28
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1111]) ).
fof(f1113,plain,
( spl0_31
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f502,f180,f302]) ).
fof(f1115,plain,
( spl0_50
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f411,f276,f381]) ).
fof(f1168,plain,
( e24 = h(e14)
| ~ spl0_50 ),
inference(superposition,[],[f120,f383]) ).
fof(f1169,plain,
( op1(e14,e14) = j(op2(e24,e24))
| ~ spl0_50 ),
inference(superposition,[],[f125,f383]) ).
fof(f1176,plain,
( op1(e14,e14) = j(e20)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1169,f80]) ).
fof(f1179,plain,
( e11 = op1(e14,e14)
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1176,f287]) ).
fof(f1182,plain,
( e10 = e11
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1179,f55]) ).
fof(f1183,plain,
( $false
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1182,f19]) ).
fof(f1184,plain,
( ~ spl0_27
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
fof(f1187,plain,
( spl0_45
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f403,f272,f360]) ).
fof(f1213,plain,
( j(op2(e24,e23)) = op1(j(e24),e14)
| ~ spl0_45 ),
inference(superposition,[],[f126,f362]) ).
fof(f1214,plain,
( e23 = h(e14)
| ~ spl0_45 ),
inference(superposition,[],[f121,f362]) ).
fof(f1215,plain,
( op1(e13,e14) = j(op2(e24,e23))
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1213,f379]) ).
fof(f1216,plain,
( op1(e13,e14) = j(e22)
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1215,f81]) ).
fof(f1217,plain,
( e12 = op1(e13,e14)
| ~ spl0_38
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1216,f333]) ).
fof(f1218,plain,
( e11 = e12
| ~ spl0_38
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1217,f60]) ).
fof(f1219,plain,
( $false
| ~ spl0_38
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1218,f15]) ).
fof(f1220,plain,
( ~ spl0_38
| ~ spl0_45
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1219]) ).
fof(f1222,plain,
( spl0_34
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f429,f243,f314]) ).
fof(f1244,plain,
( e10 = e11
| ~ spl0_26
| ~ spl0_27 ),
inference(superposition,[],[f283,f287]) ).
fof(f1249,plain,
( $false
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1244,f19]) ).
fof(f1250,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1249]) ).
fof(f1261,plain,
( e21 = h(e13)
| ~ spl0_34 ),
inference(superposition,[],[f123,f316]) ).
fof(f1262,plain,
( e24 = h(e11)
| ~ spl0_47 ),
inference(superposition,[],[f120,f371]) ).
fof(f1275,plain,
( j(op2(e24,e21)) = op1(e11,j(e21))
| ~ spl0_47 ),
inference(superposition,[],[f128,f371]) ).
fof(f1278,plain,
( op1(e11,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1275,f316]) ).
fof(f1280,plain,
( op1(e11,e13) = j(e23)
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1278,f83]) ).
fof(f1282,plain,
( e14 = op1(e11,e13)
| ~ spl0_34
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1280,f362]) ).
fof(f1284,plain,
( e10 = e14
| ~ spl0_34
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1282,f71]) ).
fof(f1287,plain,
( $false
| ~ spl0_34
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1284,f16]) ).
fof(f1288,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1287]) ).
fof(f1290,plain,
( e23 = e24
| ~ spl0_24
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1168,f274]) ).
fof(f1293,plain,
( op1(e14,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_demodulation,[],[f852,f383]) ).
fof(f1297,plain,
( $false
| ~ spl0_24
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1290,f20]) ).
fof(f1298,plain,
( ~ spl0_24
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1297]) ).
fof(f1299,plain,
( op1(e14,e12) = j(e21)
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1293,f82]) ).
fof(f1302,plain,
( e13 = op1(e14,e12)
| ~ spl0_34
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1299,f316]) ).
fof(f1305,plain,
( e11 = e13
| ~ spl0_34
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1302,f57]) ).
fof(f1308,plain,
( $false
| ~ spl0_34
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1305,f14]) ).
fof(f1309,plain,
( ~ spl0_34
| ~ spl0_38
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1308]) ).
fof(f1327,plain,
( e20 = e24
| ~ spl0_21
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1168,f262]) ).
fof(f1330,plain,
( $false
| ~ spl0_21
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1327,f26]) ).
fof(f1331,plain,
( ~ spl0_21
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1330]) ).
fof(f1340,plain,
( e20 = e21
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f182,f178]) ).
fof(f1347,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1340,f29]) ).
fof(f1348,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f1347]) ).
fof(f1365,plain,
( e21 = h(e11)
| ~ spl0_32 ),
inference(superposition,[],[f123,f308]) ).
fof(f1370,plain,
( e23 = h(e13)
| ~ spl0_44 ),
inference(superposition,[],[f121,f358]) ).
fof(f1392,plain,
( j(op2(e24,e20)) = op1(e14,j(e20))
| ~ spl0_50 ),
inference(superposition,[],[f129,f383]) ).
fof(f1400,plain,
( j(op2(e23,e24)) = op1(e13,j(e24))
| ~ spl0_44 ),
inference(superposition,[],[f130,f358]) ).
fof(f1403,plain,
( op1(e13,e14) = j(op2(e23,e24))
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1400,f383]) ).
fof(f1405,plain,
( op1(e13,e14) = j(e22)
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1403,f85]) ).
fof(f1407,plain,
( e12 = op1(e13,e14)
| ~ spl0_38
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1405,f333]) ).
fof(f1409,plain,
( e11 = e12
| ~ spl0_38
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1407,f60]) ).
fof(f1412,plain,
( $false
| ~ spl0_38
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1409,f15]) ).
fof(f1413,plain,
( ~ spl0_38
| ~ spl0_44
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1412]) ).
fof(f1427,plain,
( op1(e14,e13) = j(op2(e24,e20))
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1392,f295]) ).
fof(f1434,plain,
( op1(e14,e13) = j(e24)
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1427,f84]) ).
fof(f1439,plain,
( e14 = op1(e14,e13)
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1434,f383]) ).
fof(f1440,plain,
( e12 = e14
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1439,f56]) ).
fof(f1441,plain,
( $false
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1440,f11]) ).
fof(f1442,plain,
( ~ spl0_29
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1441]) ).
fof(f1463,plain,
( e20 = e23
| ~ spl0_1
| ~ spl0_41 ),
inference(forward_demodulation,[],[f596,f178]) ).
fof(f1466,plain,
( $false
| ~ spl0_1
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1463,f27]) ).
fof(f1467,plain,
( ~ spl0_1
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1466]) ).
fof(f1468,plain,
( e21 = e23
| ~ spl0_7
| ~ spl0_42 ),
inference(forward_demodulation,[],[f820,f203]) ).
fof(f1476,plain,
( $false
| ~ spl0_7
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1468,f24]) ).
fof(f1477,plain,
( ~ spl0_7
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f1476]) ).
fof(f1488,plain,
( op1(e13,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_49 ),
inference(forward_demodulation,[],[f852,f379]) ).
fof(f1499,plain,
( $false
| spl0_7
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1365,f202]) ).
fof(f1500,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1499]) ).
fof(f1503,plain,
( op1(e13,e12) = j(e21)
| ~ spl0_38
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1488,f82]) ).
fof(f1505,plain,
( e11 = op1(e13,e12)
| ~ spl0_32
| ~ spl0_38
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1503,f308]) ).
fof(f1507,plain,
( e10 = e11
| ~ spl0_32
| ~ spl0_38
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1505,f62]) ).
fof(f1508,plain,
( $false
| ~ spl0_32
| ~ spl0_38
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1507,f19]) ).
fof(f1509,plain,
( ~ spl0_32
| ~ spl0_38
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1508]) ).
fof(f1518,plain,
( $false
| spl0_17
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1261,f244]) ).
fof(f1519,plain,
( spl0_17
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1518]) ).
fof(f1542,plain,
( e21 = e23
| ~ spl0_2
| ~ spl0_41 ),
inference(forward_demodulation,[],[f596,f182]) ).
fof(f1544,plain,
( $false
| ~ spl0_2
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1542,f24]) ).
fof(f1545,plain,
( ~ spl0_2
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1544]) ).
fof(f1559,plain,
( j(op2(e24,e20)) = op1(j(e24),e14)
| ~ spl0_30 ),
inference(superposition,[],[f129,f299]) ).
fof(f1561,plain,
( op1(e13,e14) = j(op2(e24,e20))
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1559,f379]) ).
fof(f1562,plain,
( op1(e13,e14) = j(e24)
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1561,f84]) ).
fof(f1563,plain,
( e13 = op1(e13,e14)
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1562,f379]) ).
fof(f1564,plain,
( e11 = e13
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1563,f60]) ).
fof(f1565,plain,
( $false
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1564,f14]) ).
fof(f1566,plain,
( ~ spl0_30
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1565]) ).
fof(f1568,plain,
( e23 = e24
| ~ spl0_9
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1262,f211]) ).
fof(f1577,plain,
( $false
| ~ spl0_9
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1568,f20]) ).
fof(f1578,plain,
( ~ spl0_9
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1577]) ).
fof(f1583,plain,
( $false
| spl0_9
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f820,f210]) ).
fof(f1584,plain,
( spl0_9
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f1583]) ).
fof(f1609,plain,
( j(op2(e23,e24)) = op1(e10,j(e24))
| ~ spl0_41 ),
inference(superposition,[],[f130,f346]) ).
fof(f1611,plain,
( e23 = h(e10)
| ~ spl0_41 ),
inference(superposition,[],[f121,f346]) ).
fof(f1613,plain,
( op1(e10,e11) = j(op2(e23,e24))
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1609,f371]) ).
fof(f1615,plain,
( op1(e10,e11) = j(e22)
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1613,f85]) ).
fof(f1617,plain,
( e12 = op1(e10,e11)
| ~ spl0_38
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1615,f333]) ).
fof(f1619,plain,
( e11 = e12
| ~ spl0_38
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1617,f78]) ).
fof(f1622,plain,
( $false
| ~ spl0_38
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1619,f15]) ).
fof(f1623,plain,
( ~ spl0_38
| ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1622]) ).
fof(f1642,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f1644,plain,
( op1(e11,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1642,f371]) ).
fof(f1645,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1644,f83]) ).
fof(f1646,plain,
( e13 = op1(e11,e10)
| ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1645,f358]) ).
fof(f1647,plain,
( e11 = e13
| ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1646,f74]) ).
fof(f1648,plain,
( $false
| ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1647,f14]) ).
fof(f1649,plain,
( ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1648]) ).
fof(f1654,plain,
( e14 = op1(e11,e10)
| ~ spl0_31
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1645,f362]) ).
fof(f1659,plain,
( e11 = e14
| ~ spl0_31
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1654,f74]) ).
fof(f1660,plain,
( $false
| ~ spl0_31
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1659,f13]) ).
fof(f1661,plain,
( ~ spl0_31
| ~ spl0_45
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1660]) ).
fof(f1710,plain,
( e12 = j(e20)
| ~ spl0_11 ),
inference(superposition,[],[f117,f220]) ).
fof(f1720,plain,
( j(op2(e24,e20)) = op1(j(e24),e12)
| ~ spl0_28 ),
inference(superposition,[],[f129,f291]) ).
fof(f1722,plain,
( op1(e14,e12) = j(op2(e24,e20))
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1720,f383]) ).
fof(f1723,plain,
( op1(e14,e12) = j(e24)
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1722,f84]) ).
fof(f1724,plain,
( e14 = op1(e14,e12)
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1723,f383]) ).
fof(f1725,plain,
( e11 = e14
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1724,f57]) ).
fof(f1726,plain,
( $false
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1725,f13]) ).
fof(f1727,plain,
( ~ spl0_28
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1726]) ).
fof(f1744,plain,
( e20 = e22
| ~ spl0_1
| ~ spl0_36 ),
inference(forward_demodulation,[],[f767,f178]) ).
fof(f1747,plain,
( $false
| ~ spl0_1
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1744,f28]) ).
fof(f1748,plain,
( ~ spl0_1
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1747]) ).
fof(f1749,plain,
( $false
| spl0_8
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f555,f206]) ).
fof(f1750,plain,
( spl0_8
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1749]) ).
fof(f1780,plain,
( e12 = e13
| ~ spl0_33
| ~ spl0_34 ),
inference(superposition,[],[f316,f312]) ).
fof(f1789,plain,
( $false
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1780,f12]) ).
fof(f1790,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1789]) ).
fof(f1793,plain,
( spl0_37
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f541,f205,f327]) ).
fof(f1813,plain,
( e11 = e14
| ~ spl0_37
| ~ spl0_40 ),
inference(superposition,[],[f341,f329]) ).
fof(f1816,plain,
( j(op2(e24,e22)) = op1(j(e24),e14)
| ~ spl0_40 ),
inference(superposition,[],[f127,f341]) ).
fof(f1817,plain,
( e22 = h(e14)
| ~ spl0_40 ),
inference(superposition,[],[f122,f341]) ).
fof(f1818,plain,
( $false
| spl0_23
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1817,f269]) ).
fof(f1819,plain,
( spl0_23
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1818]) ).
fof(f1820,plain,
( op1(e14,e14) = j(op2(e24,e22))
| ~ spl0_40
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1816,f383]) ).
fof(f1823,plain,
( $false
| ~ spl0_37
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1813,f13]) ).
fof(f1824,plain,
( ~ spl0_37
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1823]) ).
fof(f1825,plain,
( op1(e14,e14) = j(e21)
| ~ spl0_40
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1820,f82]) ).
fof(f1826,plain,
( e13 = op1(e14,e14)
| ~ spl0_34
| ~ spl0_40
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1825,f316]) ).
fof(f1827,plain,
( e10 = e13
| ~ spl0_34
| ~ spl0_40
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1826,f55]) ).
fof(f1828,plain,
( $false
| ~ spl0_34
| ~ spl0_40
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1827,f17]) ).
fof(f1829,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1828]) ).
fof(f1837,plain,
( e23 = h(e12)
| ~ spl0_43 ),
inference(superposition,[],[f121,f354]) ).
fof(f1847,plain,
( j(op2(e24,e23)) = op1(e14,j(e23))
| ~ spl0_50 ),
inference(superposition,[],[f126,f383]) ).
fof(f1849,plain,
( j(op2(e24,e21)) = op1(e14,j(e21))
| ~ spl0_50 ),
inference(superposition,[],[f128,f383]) ).
fof(f1851,plain,
( j(op2(e23,e24)) = op1(j(e23),e14)
| ~ spl0_50 ),
inference(superposition,[],[f130,f383]) ).
fof(f1884,plain,
( j(op2(e23,e21)) = op1(e12,j(e21))
| ~ spl0_43 ),
inference(superposition,[],[f133,f354]) ).
fof(f1887,plain,
( op1(e12,e13) = j(op2(e23,e21))
| ~ spl0_34
| ~ spl0_43 ),
inference(forward_demodulation,[],[f1884,f316]) ).
fof(f1889,plain,
( op1(e12,e13) = j(e24)
| ~ spl0_34
| ~ spl0_43 ),
inference(forward_demodulation,[],[f1887,f88]) ).
fof(f1891,plain,
( e14 = op1(e12,e13)
| ~ spl0_34
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1889,f383]) ).
fof(f1893,plain,
( e11 = e14
| ~ spl0_34
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1891,f66]) ).
fof(f1896,plain,
( $false
| ~ spl0_34
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1893,f13]) ).
fof(f1897,plain,
( ~ spl0_34
| ~ spl0_43
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1896]) ).
fof(f1899,plain,
( spl0_39
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f435,f247,f335]) ).
fof(f1903,plain,
( op1(e11,e14) = j(op2(e23,e24))
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1851,f350]) ).
fof(f1909,plain,
( op1(e14,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1849,f312]) ).
fof(f1915,plain,
( op1(e11,e14) = j(e22)
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1903,f85]) ).
fof(f1918,plain,
( op1(e14,e12) = j(e23)
| ~ spl0_33
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1909,f83]) ).
fof(f1919,plain,
( e13 = op1(e11,e14)
| ~ spl0_39
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1915,f337]) ).
fof(f1923,plain,
( e12 = e13
| ~ spl0_39
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1919,f70]) ).
fof(f1924,plain,
( $false
| ~ spl0_39
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1923,f12]) ).
fof(f1925,plain,
( ~ spl0_39
| ~ spl0_42
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1924]) ).
fof(f1928,plain,
( e21 = e23
| ~ spl0_12
| ~ spl0_43 ),
inference(forward_demodulation,[],[f554,f224]) ).
fof(f1930,plain,
( e21 = e23
| ~ spl0_12
| ~ spl0_43 ),
inference(forward_demodulation,[],[f1837,f224]) ).
fof(f1933,plain,
( op1(e14,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1847,f354]) ).
fof(f1934,plain,
( e12 = op1(e14,e12)
| ~ spl0_33
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1918,f354]) ).
fof(f1938,plain,
( $false
| ~ spl0_12
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1928,f24]) ).
fof(f1939,plain,
( ~ spl0_12
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f1938]) ).
fof(f1942,plain,
( $false
| ~ spl0_12
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1930,f24]) ).
fof(f1943,plain,
( ~ spl0_12
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f1942]) ).
fof(f1945,plain,
( op1(e14,e12) = j(e22)
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1933,f81]) ).
fof(f1946,plain,
( e11 = e12
| ~ spl0_33
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1934,f57]) ).
fof(f1948,plain,
( e13 = op1(e14,e12)
| ~ spl0_39
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1945,f337]) ).
fof(f1949,plain,
( $false
| ~ spl0_33
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1946,f15]) ).
fof(f1950,plain,
( ~ spl0_33
| ~ spl0_43
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1949]) ).
fof(f1951,plain,
( e11 = e13
| ~ spl0_39
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1948,f57]) ).
fof(f1952,plain,
( $false
| ~ spl0_39
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1951,f14]) ).
fof(f1953,plain,
( ~ spl0_39
| ~ spl0_43
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1952]) ).
fof(f1956,plain,
( e22 = e23
| ~ spl0_18
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1370,f249]) ).
fof(f1960,plain,
( e13 = op1(e14,e12)
| ~ spl0_33
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1918,f358]) ).
fof(f1963,plain,
( $false
| ~ spl0_18
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1956,f22]) ).
fof(f1964,plain,
( ~ spl0_18
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1963]) ).
fof(f1967,plain,
( e11 = e13
| ~ spl0_33
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1960,f57]) ).
fof(f1970,plain,
( $false
| ~ spl0_33
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1967,f14]) ).
fof(f1971,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1970]) ).
fof(f2006,plain,
( $false
| spl0_22
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f556,f265]) ).
fof(f2007,plain,
( spl0_22
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f2006]) ).
fof(f2021,plain,
( spl0_40
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f396,f268,f339]) ).
fof(f2106,plain,
( $false
| spl0_24
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1214,f273]) ).
fof(f2107,plain,
( spl0_24
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f2106]) ).
fof(f2111,plain,
( op1(e14,e14) = j(op2(e24,e23))
| ~ spl0_45
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1847,f362]) ).
fof(f2121,plain,
( op1(e14,e14) = j(e22)
| ~ spl0_45
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2111,f81]) ).
fof(f2125,plain,
( e13 = op1(e14,e14)
| ~ spl0_39
| ~ spl0_45
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2121,f337]) ).
fof(f2129,plain,
( e10 = e13
| ~ spl0_39
| ~ spl0_45
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2125,f55]) ).
fof(f2133,plain,
( $false
| ~ spl0_39
| ~ spl0_45
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2129,f17]) ).
fof(f2134,plain,
( ~ spl0_39
| ~ spl0_45
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2133]) ).
fof(f2160,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f2162,plain,
( op1(e12,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2160,f375]) ).
fof(f2164,plain,
( op1(e12,e11) = j(e23)
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2162,f83]) ).
fof(f2166,plain,
( e14 = op1(e12,e11)
| ~ spl0_32
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2164,f362]) ).
fof(f2168,plain,
( e10 = e14
| ~ spl0_32
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2166,f68]) ).
fof(f2169,plain,
( $false
| ~ spl0_32
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2168,f16]) ).
fof(f2170,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2169]) ).
fof(f2174,plain,
( e10 = e12
| ~ spl0_11
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1710,f283]) ).
fof(f2177,plain,
( e21 = e24
| ~ spl0_7
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1262,f203]) ).
fof(f2191,plain,
( $false
| ~ spl0_11
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f2174,f18]) ).
fof(f2192,plain,
( ~ spl0_11
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f2191]) ).
fof(f2195,plain,
( $false
| ~ spl0_7
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2177,f23]) ).
fof(f2196,plain,
( ~ spl0_7
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2195]) ).
fof(f2217,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f2219,plain,
( op1(e11,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2217,f371]) ).
fof(f2221,plain,
( op1(e11,e12) = j(e23)
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2219,f83]) ).
fof(f2223,plain,
( e14 = op1(e11,e12)
| ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2221,f362]) ).
fof(f2225,plain,
( e13 = e14
| ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2223,f72]) ).
fof(f2226,plain,
( $false
| ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2225,f10]) ).
fof(f2227,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2226]) ).
fof(f2234,plain,
( e21 = e23
| ~ spl0_22
| ~ spl0_24 ),
inference(superposition,[],[f266,f274]) ).
fof(f2240,plain,
( $false
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f2234,f24]) ).
fof(f2241,plain,
( ~ spl0_22
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f2240]) ).
fof(f2267,plain,
( j(op2(e24,e20)) = op1(j(e24),e11)
| ~ spl0_27 ),
inference(superposition,[],[f129,f287]) ).
fof(f2269,plain,
( op1(e12,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2267,f375]) ).
fof(f2270,plain,
( op1(e12,e11) = j(e24)
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2269,f84]) ).
fof(f2271,plain,
( e12 = op1(e12,e11)
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2270,f375]) ).
fof(f2272,plain,
( e10 = e12
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2271,f68]) ).
fof(f2273,plain,
( $false
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2272,f18]) ).
fof(f2274,plain,
( ~ spl0_27
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2273]) ).
fof(f2292,plain,
( e20 = e24
| ~ spl0_11
| ~ spl0_48 ),
inference(forward_demodulation,[],[f599,f220]) ).
fof(f2294,plain,
( $false
| ~ spl0_11
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2292,f26]) ).
fof(f2295,plain,
( ~ spl0_11
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2294]) ).
fof(f2320,plain,
( e21 = e22
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f245,f249]) ).
fof(f2326,plain,
( $false
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2320,f25]) ).
fof(f2327,plain,
( ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f2326]) ).
fof(f2411,plain,
( j(op2(e24,e20)) = op1(j(e24),e13)
| ~ spl0_29 ),
inference(superposition,[],[f129,f295]) ).
fof(f2413,plain,
( op1(e12,e13) = j(op2(e24,e20))
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2411,f375]) ).
fof(f2414,plain,
( op1(e12,e13) = j(e24)
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2413,f84]) ).
fof(f2415,plain,
( e12 = op1(e12,e13)
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2414,f375]) ).
fof(f2416,plain,
( e11 = e12
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2415,f66]) ).
fof(f2417,plain,
( $false
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2416,f15]) ).
fof(f2418,plain,
( ~ spl0_29
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2417]) ).
fof(f2447,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f2452,plain,
( op1(e13,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2447,f379]) ).
fof(f2454,plain,
( op1(e13,e12) = j(e23)
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2452,f83]) ).
fof(f2456,plain,
( e14 = op1(e13,e12)
| ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2454,f362]) ).
fof(f2458,plain,
( e10 = e14
| ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2456,f62]) ).
fof(f2461,plain,
( $false
| ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2458,f16]) ).
fof(f2462,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2461]) ).
fof(f2479,plain,
( e21 = e24
| ~ spl0_17
| ~ spl0_49 ),
inference(forward_demodulation,[],[f606,f245]) ).
fof(f2481,plain,
( $false
| ~ spl0_17
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2479,f23]) ).
fof(f2482,plain,
( ~ spl0_17
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2481]) ).
fof(f2513,plain,
( j(op2(e24,e20)) = op1(j(e24),e12)
| ~ spl0_28 ),
inference(superposition,[],[f129,f291]) ).
fof(f2515,plain,
( op1(e13,e12) = j(op2(e24,e20))
| ~ spl0_28
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2513,f379]) ).
fof(f2516,plain,
( op1(e13,e12) = j(e24)
| ~ spl0_28
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2515,f84]) ).
fof(f2517,plain,
( e13 = op1(e13,e12)
| ~ spl0_28
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2516,f379]) ).
fof(f2518,plain,
( e10 = e13
| ~ spl0_28
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2517,f62]) ).
fof(f2519,plain,
( $false
| ~ spl0_28
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2518,f17]) ).
fof(f2520,plain,
( ~ spl0_28
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2519]) ).
fof(f2533,plain,
( e21 = e22
| ~ spl0_2
| ~ spl0_36 ),
inference(forward_demodulation,[],[f767,f182]) ).
fof(f2536,plain,
( $false
| ~ spl0_2
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f2533,f25]) ).
fof(f2537,plain,
( ~ spl0_2
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f2536]) ).
fof(f2567,plain,
( j(op2(e24,e20)) = op1(j(e24),e11)
| ~ spl0_27 ),
inference(superposition,[],[f129,f287]) ).
fof(f2569,plain,
( op1(e13,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2567,f379]) ).
fof(f2570,plain,
( op1(e13,e11) = j(e24)
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2569,f84]) ).
fof(f2571,plain,
( e13 = op1(e13,e11)
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2570,f379]) ).
fof(f2572,plain,
( e12 = e13
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2571,f63]) ).
fof(f2573,plain,
( $false
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2572,f12]) ).
fof(f2574,plain,
( ~ spl0_27
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2573]) ).
fof(f2591,plain,
( e21 = e22
| ~ spl0_22
| ~ spl0_23 ),
inference(superposition,[],[f266,f270]) ).
fof(f2597,plain,
( $false
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f2591,f25]) ).
fof(f2598,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f2597]) ).
fof(f2613,plain,
( e22 = e24
| ~ spl0_8
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1262,f207]) ).
fof(f2616,plain,
( $false
| ~ spl0_8
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2613,f21]) ).
fof(f2617,plain,
( ~ spl0_8
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2616]) ).
fof(f2625,plain,
( j(op2(e24,e21)) = op1(j(e24),e14)
| ~ spl0_35 ),
inference(superposition,[],[f128,f320]) ).
fof(f2630,plain,
( op1(e13,e14) = j(op2(e24,e21))
| ~ spl0_35
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2625,f379]) ).
fof(f2632,plain,
( op1(e13,e14) = j(e23)
| ~ spl0_35
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2630,f83]) ).
fof(f2634,plain,
( e12 = op1(e13,e14)
| ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2632,f354]) ).
fof(f2635,plain,
( e11 = e12
| ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2634,f60]) ).
fof(f2636,plain,
( $false
| ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2635,f15]) ).
fof(f2637,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2636]) ).
fof(f2661,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f2662,plain,
( j(op2(e23,e21)) = op1(j(e23),e12)
| ~ spl0_33 ),
inference(superposition,[],[f133,f312]) ).
fof(f2665,plain,
( op1(e13,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2661,f379]) ).
fof(f2667,plain,
( op1(e13,e12) = j(e23)
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2665,f83]) ).
fof(f2669,plain,
( e11 = op1(e13,e12)
| ~ spl0_33
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2667,f350]) ).
fof(f2670,plain,
( e10 = e11
| ~ spl0_33
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2669,f62]) ).
fof(f2671,plain,
( $false
| ~ spl0_33
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2670,f19]) ).
fof(f2672,plain,
( ~ spl0_33
| ~ spl0_42
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2671]) ).
fof(f2675,plain,
( $false
| spl0_19
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1370,f252]) ).
fof(f2676,plain,
( spl0_19
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f2675]) ).
fof(f2679,plain,
( op1(e13,e12) = j(op2(e23,e21))
| ~ spl0_33
| ~ spl0_44 ),
inference(forward_demodulation,[],[f2662,f358]) ).
fof(f2682,plain,
( op1(e13,e12) = j(e24)
| ~ spl0_33
| ~ spl0_44 ),
inference(forward_demodulation,[],[f2679,f88]) ).
fof(f2684,plain,
( e13 = op1(e13,e12)
| ~ spl0_33
| ~ spl0_44
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2682,f379]) ).
fof(f2687,plain,
( e10 = e13
| ~ spl0_33
| ~ spl0_44
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2684,f62]) ).
fof(f2688,plain,
( $false
| ~ spl0_33
| ~ spl0_44
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2687,f17]) ).
fof(f2689,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2688]) ).
fof(f2695,plain,
( e11 = op1(e13,e12)
| ~ spl0_33
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2682,f371]) ).
fof(f2699,plain,
( e10 = e11
| ~ spl0_33
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2695,f62]) ).
fof(f2702,plain,
( $false
| ~ spl0_33
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2699,f19]) ).
fof(f2703,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2702]) ).
fof(f2729,plain,
( j(op2(e24,e20)) = op1(j(e24),e13)
| ~ spl0_29 ),
inference(superposition,[],[f129,f295]) ).
fof(f2731,plain,
( op1(e11,e13) = j(op2(e24,e20))
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2729,f371]) ).
fof(f2732,plain,
( op1(e11,e13) = j(e24)
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2731,f84]) ).
fof(f2733,plain,
( e11 = op1(e11,e13)
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2732,f371]) ).
fof(f2734,plain,
( e10 = e11
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2733,f71]) ).
fof(f2735,plain,
( $false
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2734,f19]) ).
fof(f2736,plain,
( ~ spl0_29
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2735]) ).
fof(f2786,plain,
( j(op2(e24,e22)) = op1(j(e24),e13)
| ~ spl0_39 ),
inference(superposition,[],[f127,f337]) ).
fof(f2788,plain,
( op1(e11,e13) = j(op2(e24,e22))
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2786,f371]) ).
fof(f2790,plain,
( op1(e11,e13) = j(e21)
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2788,f82]) ).
fof(f2792,plain,
( e14 = op1(e11,e13)
| ~ spl0_35
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2790,f320]) ).
fof(f2794,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2792,f71]) ).
fof(f2795,plain,
( $false
| ~ spl0_35
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2794,f16]) ).
fof(f2796,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2795]) ).
fof(f2805,plain,
( e12 = e13
| ~ spl0_43
| ~ spl0_44 ),
inference(forward_demodulation,[],[f358,f354]) ).
fof(f2806,plain,
( e23 = e24
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_demodulation,[],[f599,f232]) ).
fof(f2832,plain,
( $false
| ~ spl0_43
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f2805,f12]) ).
fof(f2833,plain,
( ~ spl0_43
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f2832]) ).
fof(f2834,plain,
( $false
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2806,f20]) ).
fof(f2835,plain,
( ~ spl0_14
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2834]) ).
fof(f2858,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f2862,plain,
( op1(e12,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2858,f375]) ).
fof(f2864,plain,
( op1(e12,e10) = j(e23)
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2862,f83]) ).
fof(f2866,plain,
( e13 = op1(e12,e10)
| ~ spl0_31
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2864,f358]) ).
fof(f2867,plain,
( e12 = e13
| ~ spl0_31
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2866,f69]) ).
fof(f2868,plain,
( $false
| ~ spl0_31
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2867,f12]) ).
fof(f2869,plain,
( ~ spl0_31
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2868]) ).
fof(f2904,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(superposition,[],[f116,f245]) ).
fof(f2913,plain,
( j(op2(e24,e21)) = op1(j(e24),e13)
| ~ spl0_34 ),
inference(superposition,[],[f128,f316]) ).
fof(f2918,plain,
( op1(e11,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2913,f371]) ).
fof(f2920,plain,
( op1(e11,e13) = j(e23)
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2918,f83]) ).
fof(f2922,plain,
( e12 = op1(e11,e13)
| ~ spl0_34
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2920,f354]) ).
fof(f2923,plain,
( e10 = e12
| ~ spl0_34
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2922,f71]) ).
fof(f2924,plain,
( $false
| ~ spl0_34
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2923,f18]) ).
fof(f2925,plain,
( ~ spl0_34
| ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2924]) ).
fof(f2954,plain,
( j(op2(e24,e22)) = op1(j(e24),e14)
| ~ spl0_40 ),
inference(superposition,[],[f127,f341]) ).
fof(f2956,plain,
( op1(e11,e14) = j(op2(e24,e22))
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2954,f371]) ).
fof(f2958,plain,
( op1(e11,e14) = j(e21)
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2956,f82]) ).
fof(f2960,plain,
( e13 = op1(e11,e14)
| ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2958,f316]) ).
fof(f2962,plain,
( e12 = e13
| ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2960,f70]) ).
fof(f2963,plain,
( $false
| ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2962,f12]) ).
fof(f2964,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2963]) ).
fof(f2972,plain,
( spl0_3
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f767,f323,f184]) ).
fof(f3023,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f3024,plain,
( j(op2(e23,e21)) = op1(j(e23),e10)
| ~ spl0_31 ),
inference(superposition,[],[f133,f304]) ).
fof(f3027,plain,
( op1(e11,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3023,f371]) ).
fof(f3029,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3027,f83]) ).
fof(f3031,plain,
( e12 = op1(e11,e10)
| ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3029,f354]) ).
fof(f3032,plain,
( e11 = e12
| ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3031,f74]) ).
fof(f3033,plain,
( $false
| ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f3032,f15]) ).
fof(f3034,plain,
( ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f3033]) ).
fof(f3042,plain,
( op1(e11,e10) = j(op2(e23,e21))
| ~ spl0_31
| ~ spl0_42 ),
inference(forward_demodulation,[],[f3024,f350]) ).
fof(f3047,plain,
( op1(e11,e10) = j(e24)
| ~ spl0_31
| ~ spl0_42 ),
inference(forward_demodulation,[],[f3042,f88]) ).
fof(f3050,plain,
( e12 = op1(e11,e10)
| ~ spl0_31
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3047,f375]) ).
fof(f3051,plain,
( e11 = e12
| ~ spl0_31
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3050,f74]) ).
fof(f3052,plain,
( $false
| ~ spl0_31
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3051,f15]) ).
fof(f3053,plain,
( ~ spl0_31
| ~ spl0_42
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3052]) ).
fof(f3080,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f3085,plain,
( op1(e12,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3080,f375]) ).
fof(f3087,plain,
( op1(e12,e11) = j(e23)
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3085,f83]) ).
fof(f3089,plain,
( e13 = op1(e12,e11)
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3087,f358]) ).
fof(f3090,plain,
( e10 = e13
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3089,f68]) ).
fof(f3091,plain,
( $false
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3090,f17]) ).
fof(f3092,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3091]) ).
fof(f3099,plain,
( e11 = e13
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_demodulation,[],[f2904,f308]) ).
fof(f3101,plain,
( e11 = e13
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_demodulation,[],[f316,f308]) ).
fof(f3103,plain,
( e22 = e23
| ~ spl0_3
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1611,f186]) ).
fof(f3121,plain,
( $false
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f3099,f14]) ).
fof(f3122,plain,
( ~ spl0_17
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f3121]) ).
fof(f3123,plain,
( $false
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f3101,f14]) ).
fof(f3124,plain,
( ~ spl0_32
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f3123]) ).
fof(f3127,plain,
( $false
| ~ spl0_3
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f3103,f22]) ).
fof(f3128,plain,
( ~ spl0_3
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f3127]) ).
fof(f3152,plain,
( j(op2(e23,e21)) = op1(j(e23),e13)
| ~ spl0_34 ),
inference(superposition,[],[f133,f316]) ).
fof(f3164,plain,
( j(op2(e23,e22)) = op1(j(e23),e11)
| ~ spl0_37 ),
inference(superposition,[],[f132,f329]) ).
fof(f3165,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f3167,plain,
( op1(e12,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3165,f375]) ).
fof(f3168,plain,
( op1(e10,e11) = j(op2(e23,e22))
| ~ spl0_37
| ~ spl0_41 ),
inference(forward_demodulation,[],[f3164,f346]) ).
fof(f3169,plain,
( op1(e12,e11) = j(e21)
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3167,f82]) ).
fof(f3170,plain,
( op1(e10,e11) = j(e20)
| ~ spl0_37
| ~ spl0_41 ),
inference(forward_demodulation,[],[f3168,f87]) ).
fof(f3171,plain,
( e13 = op1(e12,e11)
| ~ spl0_34
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3169,f316]) ).
fof(f3172,plain,
( e14 = op1(e10,e11)
| ~ spl0_30
| ~ spl0_37
| ~ spl0_41 ),
inference(forward_demodulation,[],[f3170,f299]) ).
fof(f3173,plain,
( e10 = e13
| ~ spl0_34
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3171,f68]) ).
fof(f3174,plain,
( e11 = e14
| ~ spl0_30
| ~ spl0_37
| ~ spl0_41 ),
inference(forward_demodulation,[],[f3172,f78]) ).
fof(f3175,plain,
( $false
| ~ spl0_34
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3173,f17]) ).
fof(f3176,plain,
( ~ spl0_34
| ~ spl0_37
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3175]) ).
fof(f3177,plain,
( $false
| ~ spl0_30
| ~ spl0_37
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f3174,f13]) ).
fof(f3178,plain,
( ~ spl0_30
| ~ spl0_37
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f3177]) ).
fof(f3183,plain,
( op1(e11,e13) = j(op2(e23,e21))
| ~ spl0_34
| ~ spl0_42 ),
inference(forward_demodulation,[],[f3152,f350]) ).
fof(f3190,plain,
( op1(e11,e13) = j(e24)
| ~ spl0_34
| ~ spl0_42 ),
inference(forward_demodulation,[],[f3183,f88]) ).
fof(f3191,plain,
( e12 = op1(e11,e13)
| ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3190,f375]) ).
fof(f3192,plain,
( e10 = e12
| ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3191,f71]) ).
fof(f3193,plain,
( $false
| ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3192,f18]) ).
fof(f3194,plain,
( ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3193]) ).
fof(f3197,plain,
( e21 = e23
| ~ spl0_17
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1370,f245]) ).
fof(f3205,plain,
( $false
| ~ spl0_17
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f3197,f24]) ).
fof(f3206,plain,
( ~ spl0_17
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f3205]) ).
fof(f3254,plain,
( j(op2(e23,e21)) = op1(j(e23),e11)
| ~ spl0_32 ),
inference(superposition,[],[f133,f308]) ).
fof(f3258,plain,
( op1(e12,e11) = j(op2(e23,e21))
| ~ spl0_32
| ~ spl0_43 ),
inference(forward_demodulation,[],[f3254,f354]) ).
fof(f3260,plain,
( op1(e12,e11) = j(e24)
| ~ spl0_32
| ~ spl0_43 ),
inference(forward_demodulation,[],[f3258,f88]) ).
fof(f3262,plain,
( e13 = op1(e12,e11)
| ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f3260,f379]) ).
fof(f3264,plain,
( e10 = e13
| ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f3262,f68]) ).
fof(f3265,plain,
( $false
| ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f3264,f17]) ).
fof(f3266,plain,
( ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f3265]) ).
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_21
| ~ spl0_26 ),
inference(sat_conversion,[],[f388]) ).
cnf(s18,plain,
( ~ spl0_16
| spl0_29 ),
inference(sat_conversion,[],[f427]) ).
cnf(s20,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(sat_conversion,[],[f438]) ).
cnf(s21,plain,
( ~ spl0_19
| ~ spl0_41 ),
inference(sat_conversion,[],[f445]) ).
cnf(s26,plain,
( ~ spl0_22
| spl0_35 ),
inference(sat_conversion,[],[f467]) ).
cnf(s39,plain,
( ~ spl0_9
| spl0_42 ),
inference(sat_conversion,[],[f531]) ).
cnf(s40,plain,
( ~ spl0_7
| spl0_32 ),
inference(sat_conversion,[],[f536]) ).
cnf(s41,plain,
( ~ spl0_8
| ~ spl0_36 ),
inference(sat_conversion,[],[f544]) ).
cnf(s44,plain,
( ~ spl0_29
| ~ spl0_46 ),
inference(sat_conversion,[],[f563]) ).
cnf(s45,plain,
( ~ spl0_4
| spl0_41 ),
inference(sat_conversion,[],[f564]) ).
cnf(s46,plain,
( ~ spl0_13
| ~ spl0_37 ),
inference(sat_conversion,[],[f572]) ).
cnf(s50,plain,
( spl0_14
| ~ spl0_43 ),
inference(sat_conversion,[],[f584]) ).
cnf(s51,plain,
( ~ spl0_15
| spl0_48 ),
inference(sat_conversion,[],[f595]) ).
cnf(s53,plain,
( ~ spl0_48
| ~ spl0_49 ),
inference(sat_conversion,[],[f612]) ).
cnf(s54,plain,
( ~ spl0_16
| ~ spl0_49 ),
inference(sat_conversion,[],[f614]) ).
cnf(s56,plain,
( ~ spl0_35
| ~ spl0_37
| ~ spl0_48 ),
inference(sat_conversion,[],[f639]) ).
cnf(s57,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f641]) ).
cnf(s58,plain,
( ~ spl0_10
| spl0_47 ),
inference(sat_conversion,[],[f647]) ).
cnf(s59,plain,
( spl0_13
| ~ spl0_38 ),
inference(sat_conversion,[],[f658]) ).
cnf(s62,plain,
( ~ spl0_13
| ~ spl0_48 ),
inference(sat_conversion,[],[f674]) ).
cnf(s63,plain,
( ~ spl0_12
| ~ spl0_48 ),
inference(sat_conversion,[],[f684]) ).
cnf(s66,plain,
( ~ spl0_40
| ~ spl0_41
| ~ spl0_48 ),
inference(sat_conversion,[],[f700]) ).
cnf(s69,plain,
( ~ spl0_39
| ~ spl0_41
| ~ spl0_48 ),
inference(sat_conversion,[],[f716]) ).
cnf(s70,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(sat_conversion,[],[f720]) ).
cnf(s71,plain,
( ~ spl0_13
| spl0_38 ),
inference(sat_conversion,[],[f721]) ).
cnf(s73,plain,
( ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f730]) ).
cnf(s74,plain,
( ~ spl0_3
| spl0_36 ),
inference(sat_conversion,[],[f731]) ).
cnf(s75,plain,
( ~ spl0_14
| spl0_43 ),
inference(sat_conversion,[],[f733]) ).
cnf(s76,plain,
( ~ spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f745]) ).
cnf(s81,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_47 ),
inference(sat_conversion,[],[f773]) ).
cnf(s82,plain,
( ~ spl0_6
| spl0_27 ),
inference(sat_conversion,[],[f774]) ).
cnf(s86,plain,
( spl0_18
| ~ spl0_39 ),
inference(sat_conversion,[],[f804]) ).
cnf(s91,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(sat_conversion,[],[f833]) ).
cnf(s97,plain,
( ~ spl0_35
| ~ spl0_38
| ~ spl0_47 ),
inference(sat_conversion,[],[f871]) ).
cnf(s98,plain,
( ~ spl0_20
| spl0_49 ),
inference(sat_conversion,[],[f872]) ).
cnf(s99,plain,
( spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f878]) ).
cnf(s100,plain,
( ~ spl0_35
| ~ spl0_38
| ~ spl0_49 ),
inference(sat_conversion,[],[f885]) ).
cnf(s101,plain,
( ~ spl0_5
| spl0_46 ),
inference(sat_conversion,[],[f886]) ).
cnf(s102,plain,
( spl0_11
| ~ spl0_28 ),
inference(sat_conversion,[],[f890]) ).
cnf(s103,plain,
( ~ spl0_19
| ~ spl0_42 ),
inference(sat_conversion,[],[f903]) ).
cnf(s106,plain,
( ~ spl0_1
| spl0_26 ),
inference(sat_conversion,[],[f914]) ).
cnf(s108,plain,
( ~ spl0_19
| spl0_44 ),
inference(sat_conversion,[],[f919]) ).
cnf(s109,plain,
( ~ spl0_1
| ~ spl0_46 ),
inference(sat_conversion,[],[f929]) ).
cnf(s110,plain,
( spl0_1
| ~ spl0_26 ),
inference(sat_conversion,[],[f948]) ).
cnf(s116,plain,
( spl0_12
| ~ spl0_33 ),
inference(sat_conversion,[],[f984]) ).
cnf(s117,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f991]) ).
cnf(s123,plain,
( spl0_21
| ~ spl0_30 ),
inference(sat_conversion,[],[f1026]) ).
cnf(s128,plain,
( ~ spl0_21
| ~ spl0_45 ),
inference(sat_conversion,[],[f1056]) ).
cnf(s129,plain,
( ~ spl0_30
| ~ spl0_46 ),
inference(sat_conversion,[],[f1077]) ).
cnf(s133,plain,
( ~ spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f1079]) ).
cnf(s135,plain,
( ~ spl0_27
| ~ spl0_46 ),
inference(sat_conversion,[],[f1097]) ).
cnf(s143,plain,
( ~ spl0_28
| ~ spl0_46 ),
inference(sat_conversion,[],[f1112]) ).
cnf(s144,plain,
( ~ spl0_2
| spl0_31 ),
inference(sat_conversion,[],[f1113]) ).
cnf(s146,plain,
( ~ spl0_25
| spl0_50 ),
inference(sat_conversion,[],[f1115]) ).
cnf(s153,plain,
( ~ spl0_27
| ~ spl0_50 ),
inference(sat_conversion,[],[f1184]) ).
cnf(s154,plain,
( ~ spl0_24
| spl0_45 ),
inference(sat_conversion,[],[f1187]) ).
cnf(s158,plain,
( ~ spl0_38
| ~ spl0_45
| ~ spl0_49 ),
inference(sat_conversion,[],[f1220]) ).
cnf(s160,plain,
( ~ spl0_17
| spl0_34 ),
inference(sat_conversion,[],[f1222]) ).
cnf(s162,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f1250]) ).
cnf(s164,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_47 ),
inference(sat_conversion,[],[f1288]) ).
cnf(s169,plain,
( ~ spl0_24
| ~ spl0_50 ),
inference(sat_conversion,[],[f1298]) ).
cnf(s170,plain,
( ~ spl0_34
| ~ spl0_38
| ~ spl0_50 ),
inference(sat_conversion,[],[f1309]) ).
cnf(s181,plain,
( ~ spl0_21
| ~ spl0_50 ),
inference(sat_conversion,[],[f1331]) ).
cnf(s185,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1348]) ).
cnf(s187,plain,
( ~ spl0_38
| ~ spl0_44
| ~ spl0_50 ),
inference(sat_conversion,[],[f1413]) ).
cnf(s194,plain,
( ~ spl0_29
| ~ spl0_50 ),
inference(sat_conversion,[],[f1442]) ).
cnf(s202,plain,
( ~ spl0_1
| ~ spl0_41 ),
inference(sat_conversion,[],[f1467]) ).
cnf(s203,plain,
( ~ spl0_7
| ~ spl0_42 ),
inference(sat_conversion,[],[f1477]) ).
cnf(s214,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f1500]) ).
cnf(s215,plain,
( ~ spl0_32
| ~ spl0_38
| ~ spl0_49 ),
inference(sat_conversion,[],[f1509]) ).
cnf(s218,plain,
( spl0_17
| ~ spl0_34 ),
inference(sat_conversion,[],[f1519]) ).
cnf(s226,plain,
( ~ spl0_2
| ~ spl0_41 ),
inference(sat_conversion,[],[f1545]) ).
cnf(s227,plain,
( ~ spl0_30
| ~ spl0_49 ),
inference(sat_conversion,[],[f1566]) ).
cnf(s235,plain,
( ~ spl0_9
| ~ spl0_47 ),
inference(sat_conversion,[],[f1578]) ).
cnf(s236,plain,
( spl0_9
| ~ spl0_42 ),
inference(sat_conversion,[],[f1584]) ).
cnf(s238,plain,
( ~ spl0_38
| ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f1623]) ).
cnf(s247,plain,
( ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(sat_conversion,[],[f1649]) ).
cnf(s253,plain,
( ~ spl0_31
| ~ spl0_45
| ~ spl0_47 ),
inference(sat_conversion,[],[f1661]) ).
cnf(s277,plain,
( ~ spl0_28
| ~ spl0_50 ),
inference(sat_conversion,[],[f1727]) ).
cnf(s285,plain,
( ~ spl0_1
| ~ spl0_36 ),
inference(sat_conversion,[],[f1748]) ).
cnf(s286,plain,
( spl0_8
| ~ spl0_37 ),
inference(sat_conversion,[],[f1750]) ).
cnf(s290,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(sat_conversion,[],[f1790]) ).
cnf(s291,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f1793]) ).
cnf(s295,plain,
( spl0_23
| ~ spl0_40 ),
inference(sat_conversion,[],[f1819]) ).
cnf(s297,plain,
( ~ spl0_37
| ~ spl0_40 ),
inference(sat_conversion,[],[f1824]) ).
cnf(s298,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_50 ),
inference(sat_conversion,[],[f1829]) ).
cnf(s300,plain,
( ~ spl0_34
| ~ spl0_43
| ~ spl0_50 ),
inference(sat_conversion,[],[f1897]) ).
cnf(s307,plain,
( ~ spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f1899]) ).
cnf(s308,plain,
( ~ spl0_39
| ~ spl0_42
| ~ spl0_50 ),
inference(sat_conversion,[],[f1925]) ).
cnf(s316,plain,
( ~ spl0_12
| ~ spl0_43 ),
inference(sat_conversion,[],[f1939]) ).
cnf(s318,plain,
( ~ spl0_12
| ~ spl0_43 ),
inference(sat_conversion,[],[f1943]) ).
cnf(s319,plain,
( ~ spl0_33
| ~ spl0_43
| ~ spl0_50 ),
inference(sat_conversion,[],[f1950]) ).
cnf(s320,plain,
( ~ spl0_39
| ~ spl0_43
| ~ spl0_50 ),
inference(sat_conversion,[],[f1953]) ).
cnf(s322,plain,
( ~ spl0_18
| ~ spl0_44 ),
inference(sat_conversion,[],[f1964]) ).
cnf(s323,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_50 ),
inference(sat_conversion,[],[f1971]) ).
cnf(s336,plain,
( spl0_22
| ~ spl0_35 ),
inference(sat_conversion,[],[f2007]) ).
cnf(s345,plain,
( ~ spl0_23
| spl0_40 ),
inference(sat_conversion,[],[f2021]) ).
cnf(s381,plain,
( spl0_24
| ~ spl0_45 ),
inference(sat_conversion,[],[f2107]) ).
cnf(s383,plain,
( ~ spl0_39
| ~ spl0_45
| ~ spl0_50 ),
inference(sat_conversion,[],[f2134]) ).
cnf(s385,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f2170]) ).
cnf(s389,plain,
( ~ spl0_11
| ~ spl0_26 ),
inference(sat_conversion,[],[f2192]) ).
cnf(s391,plain,
( ~ spl0_7
| ~ spl0_47 ),
inference(sat_conversion,[],[f2196]) ).
cnf(s394,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(sat_conversion,[],[f2227]) ).
cnf(s401,plain,
( ~ spl0_22
| ~ spl0_24 ),
inference(sat_conversion,[],[f2241]) ).
cnf(s414,plain,
( ~ spl0_27
| ~ spl0_48 ),
inference(sat_conversion,[],[f2274]) ).
cnf(s425,plain,
( ~ spl0_11
| ~ spl0_48 ),
inference(sat_conversion,[],[f2295]) ).
cnf(s440,plain,
( ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f2327]) ).
cnf(s474,plain,
( ~ spl0_29
| ~ spl0_48 ),
inference(sat_conversion,[],[f2418]) ).
cnf(s489,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(sat_conversion,[],[f2462]) ).
cnf(s501,plain,
( ~ spl0_17
| ~ spl0_49 ),
inference(sat_conversion,[],[f2482]) ).
cnf(s518,plain,
( ~ spl0_28
| ~ spl0_49 ),
inference(sat_conversion,[],[f2520]) ).
cnf(s537,plain,
( ~ spl0_2
| ~ spl0_36 ),
inference(sat_conversion,[],[f2537]) ).
cnf(s548,plain,
( ~ spl0_27
| ~ spl0_49 ),
inference(sat_conversion,[],[f2574]) ).
cnf(s566,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f2598]) ).
cnf(s574,plain,
( ~ spl0_8
| ~ spl0_47 ),
inference(sat_conversion,[],[f2617]) ).
cnf(s575,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(sat_conversion,[],[f2637]) ).
cnf(s588,plain,
( ~ spl0_33
| ~ spl0_42
| ~ spl0_49 ),
inference(sat_conversion,[],[f2672]) ).
cnf(s596,plain,
( spl0_19
| ~ spl0_44 ),
inference(sat_conversion,[],[f2676]) ).
cnf(s598,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_49 ),
inference(sat_conversion,[],[f2689]) ).
cnf(s599,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_47 ),
inference(sat_conversion,[],[f2703]) ).
cnf(s611,plain,
( ~ spl0_29
| ~ spl0_47 ),
inference(sat_conversion,[],[f2736]) ).
cnf(s633,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_47 ),
inference(sat_conversion,[],[f2796]) ).
cnf(s657,plain,
( ~ spl0_43
| ~ spl0_44 ),
inference(sat_conversion,[],[f2833]) ).
cnf(s658,plain,
( ~ spl0_14
| ~ spl0_48 ),
inference(sat_conversion,[],[f2835]) ).
cnf(s663,plain,
( ~ spl0_31
| ~ spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f2869]) ).
cnf(s698,plain,
( ~ spl0_34
| ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f2925]) ).
cnf(s712,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(sat_conversion,[],[f2964]) ).
cnf(s713,plain,
( spl0_3
| ~ spl0_36 ),
inference(sat_conversion,[],[f2972]) ).
cnf(s746,plain,
( ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f3034]) ).
cnf(s758,plain,
( ~ spl0_31
| ~ spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f3053]) ).
cnf(s777,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f3092]) ).
cnf(s784,plain,
( ~ spl0_17
| ~ spl0_32 ),
inference(sat_conversion,[],[f3122]) ).
cnf(s785,plain,
( ~ spl0_32
| ~ spl0_34 ),
inference(sat_conversion,[],[f3124]) ).
cnf(s787,plain,
( ~ spl0_3
| ~ spl0_41 ),
inference(sat_conversion,[],[f3128]) ).
cnf(s803,plain,
( ~ spl0_34
| ~ spl0_37
| ~ spl0_48 ),
inference(sat_conversion,[],[f3176]) ).
cnf(s804,plain,
( ~ spl0_30
| ~ spl0_37
| ~ spl0_41 ),
inference(sat_conversion,[],[f3178]) ).
cnf(s817,plain,
( ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f3194]) ).
cnf(s834,plain,
( ~ spl0_17
| ~ spl0_44 ),
inference(sat_conversion,[],[f3206]) ).
cnf(s875,plain,
( ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(sat_conversion,[],[f3266]) ).
cnf(s876,plain,
( ~ spl0_46
| spl0_26 ),
inference(rat,[],[s6,s44,s129,s135,s143]) ).
cnf(s877,plain,
( ~ spl0_47
| spl0_20
| spl0_37
| spl0_16
| ~ spl0_41
| spl0_36 ),
inference(rat,[],[s160,s712,s4,s8,s307,s73,s238,s21]) ).
cnf(s878,plain,
( spl0_29
| spl0_28
| spl0_27
| ~ spl0_41
| spl0_36
| spl0_26 ),
inference(rat,[],[s8,s59,s66,s69,s62,s10,s877,s181,s98,s123,s227,s804,s6,s18,s876]) ).
cnf(s879,plain,
( ~ spl0_29
| spl0_46 ),
inference(rat,[],[s54,s10,s99,s194,s474,s611]) ).
cnf(s880,plain,
( ~ spl0_49
| ~ spl0_41
| spl0_36
| spl0_26 ),
inference(rat,[],[s878,s518,s548,s879,s876]) ).
cnf(s881,plain,
( ~ spl0_47
| spl0_20
| ~ spl0_41
| spl0_36
| spl0_16 ),
inference(rat,[],[s286,s877,s574]) ).
cnf(s882,plain,
( ~ spl0_28
| spl0_47
| spl0_49
| spl0_46 ),
inference(rat,[],[s425,s10,s102,s277]) ).
cnf(s883,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s10,s153,s414,s878,s882,s881,s98,s880,s45,s1,s713,s101,s18,s879,s876,s110]) ).
cnf(s884,plain,
( ~ spl0_17
| spl0_45
| ~ spl0_47
| spl0_41 ),
inference(rat,[],[s698,s9,s160,s834,s236,s235]) ).
cnf(s886,plain,
( ~ spl0_17
| ~ spl0_47
| spl0_41 ),
inference(rat,[],[s164,s884,s160]) ).
cnf(s887,plain,
( ~ spl0_47
| ~ spl0_36
| spl0_41
| spl0_31 ),
inference(rat,[],[s316,s9,s394,s116,s599,s7,s218,s886,s236,s214,s81,s235,s391]) ).
cnf(s888,plain,
( spl0_27
| ~ spl0_17
| spl0_49
| spl0_47
| spl0_8
| spl0_26 ),
inference(rat,[],[s10,s817,s181,s39,s123,s2,s6,s82,s879,s58,s882,s876,s160,s40,s784]) ).
cnf(s889,plain,
( ~ spl0_27
| spl0_49
| spl0_47
| spl0_46 ),
inference(rat,[],[s10,s153,s414]) ).
cnf(s890,plain,
( spl0_49
| spl0_47
| spl0_18
| spl0_8
| spl0_26 ),
inference(rat,[],[s40,s2,s777,s39,s10,s103,s108,s181,s4,s123,s888,s6,s82,s889,s882,s98,s18,s879,s876,s58]) ).
cnf(s891,plain,
( ~ spl0_49
| spl0_26 ),
inference(rat,[],[s6,s227,s518,s548,s879,s876]) ).
cnf(s892,plain,
( ~ spl0_36
| ~ spl0_47
| spl0_41 ),
inference(rat,[],[s117,s887,s537]) ).
cnf(s893,plain,
( ~ spl0_47
| spl0_41
| spl0_1 ),
inference(rat,[],[s9,s247,s253,s746,s144,s1,s74,s892,s236,s235,s101,s876,s110,s45]) ).
cnf(s894,plain,
( ~ spl0_36
| spl0_47
| spl0_26 ),
inference(rat,[],[s890,s20,s41,s891]) ).
cnf(s895,plain,
( spl0_41
| spl0_1 ),
inference(rat,[],[s9,s663,s758,s144,s1,s74,s894,s50,s658,s10,s128,s181,s123,s6,s889,s882,s893,s45,s101,s879,s876,s891,s110]) ).
cnf(s896,plain,
spl0_1,
inference(rat,[],[s883,s226,s787,s895]) ).
cnf(s897,plain,
~ spl0_36,
inference(rat,[],[s285,s896]) ).
cnf(s899,plain,
~ spl0_41,
inference(rat,[],[s202,s896]) ).
cnf(s901,plain,
~ spl0_2,
inference(rat,[],[s185,s896]) ).
cnf(s902,plain,
~ spl0_46,
inference(rat,[],[s109,s896]) ).
cnf(s903,plain,
spl0_26,
inference(rat,[],[s106,s896]) ).
cnf(s904,plain,
~ spl0_31,
inference(rat,[],[s117,s901]) ).
cnf(s906,plain,
~ spl0_29,
inference(rat,[],[s879,s902]) ).
cnf(s908,plain,
~ spl0_11,
inference(rat,[],[s389,s903]) ).
cnf(s909,plain,
~ spl0_27,
inference(rat,[],[s162,s903]) ).
cnf(s910,plain,
~ spl0_21,
inference(rat,[],[s11,s903]) ).
cnf(s911,plain,
~ spl0_16,
inference(rat,[],[s18,s906]) ).
cnf(s912,plain,
~ spl0_6,
inference(rat,[],[s82,s909]) ).
cnf(s914,plain,
( spl0_44
| spl0_20
| ~ spl0_47 ),
inference(rat,[],[s9,s318,s394,s116,s7,s633,s307,s4,s108,s214,s391,s236,s235,s218,s886,s899,s904,s911]) ).
cnf(s915,plain,
( ~ spl0_44
| ~ spl0_47 ),
inference(rat,[],[s295,s566,s8,s97,s336,s86,s7,s322,s599,s286,s574,s214,s391,s218,s886,s897,s904,s899]) ).
cnf(s916,plain,
( ~ spl0_43
| ~ spl0_47 ),
inference(rat,[],[s116,s7,s318,s575,s214,s391,s218,s886,s98,s914,s915,s904,s899]) ).
cnf(s917,plain,
~ spl0_47,
inference(rat,[],[s3,s71,s133,s158,s489,s9,s75,s916,s51,s53,s98,s914,s915,s236,s235,s908,s899]) ).
cnf(s918,plain,
~ spl0_10,
inference(rat,[],[s58,s917]) ).
cnf(s919,plain,
( ~ spl0_37
| ~ spl0_34
| spl0_49 ),
inference(rat,[],[s75,s300,s3,s10,s51,s46,s803,s133,s290,s908,s902,s917]) ).
cnf(s920,plain,
( ~ spl0_34
| spl0_49 ),
inference(rat,[],[s8,s170,s298,s10,s817,s39,s2,s291,s919,s86,s440,s40,s218,s785,s897,s902,s917,s912,s918]) ).
cnf(s921,plain,
( ~ spl0_50
| spl0_42
| ~ spl0_39
| spl0_44 ),
inference(rat,[],[s9,s320,s383,s899]) ).
cnf(s922,plain,
( spl0_42
| spl0_44
| spl0_49 ),
inference(rat,[],[s385,s7,s9,s116,s50,s70,s63,s658,s10,s921,s307,s4,s160,s920,s108,s98,s904,s899,s902,s917,s911]) ).
cnf(s923,plain,
( spl0_44
| spl0_49 ),
inference(rat,[],[s116,s7,s70,s63,s214,s10,s203,s308,s922,s307,s4,s108,s98,s160,s920,s904,s902,s917,s911]) ).
cnf(s924,plain,
( spl0_48
| spl0_49 ),
inference(rat,[],[s3,s71,s133,s187,s323,s10,s51,s75,s657,s923,s908,s902,s917]) ).
cnf(s925,plain,
spl0_49,
inference(rat,[],[s57,s56,s2,s7,s40,s116,s777,s63,s924,s39,s103,s596,s923,s920,s912,s918,s904]) ).
cnf(s926,plain,
~ spl0_17,
inference(rat,[],[s501,s925]) ).
cnf(s928,plain,
~ spl0_48,
inference(rat,[],[s53,s925]) ).
cnf(s929,plain,
~ spl0_34,
inference(rat,[],[s218,s926]) ).
cnf(s931,plain,
~ spl0_15,
inference(rat,[],[s51,s928]) ).
cnf(s932,plain,
( spl0_45
| spl0_23
| spl0_42
| spl0_25
| spl0_44 ),
inference(rat,[],[s26,s575,s5,s9,s154,s925,s910,s899]) ).
cnf(s933,plain,
( spl0_32
| spl0_42
| spl0_25
| spl0_44 ),
inference(rat,[],[s336,s401,s7,s381,s489,s932,s345,s297,s291,s2,s40,s39,s929,s904,s925,s912,s918]) ).
cnf(s934,plain,
( spl0_42
| spl0_25
| spl0_44 ),
inference(rat,[],[s76,s489,s3,s71,s9,s75,s215,s875,s933,s899,s931,s908,s925]) ).
cnf(s935,plain,
~ spl0_42,
inference(rat,[],[s71,s100,s3,s7,s75,s214,s133,s91,s203,s588,s925,s908,s931,s929,s904]) ).
cnf(s937,plain,
spl0_44,
inference(rat,[],[s7,s319,s575,s875,s9,s381,s169,s146,s934,s929,s904,s925,s899,s935]) ).
cnf(s938,plain,
~ spl0_43,
inference(rat,[],[s657,s937]) ).
cnf(s939,plain,
~ spl0_33,
inference(rat,[],[s598,s925,s937]) ).
cnf(s943,plain,
~ spl0_14,
inference(rat,[],[s75,s938]) ).
cnf(s944,plain,
~ spl0_12,
inference(rat,[],[s133,s939]) ).
cnf(s945,plain,
spl0_13,
inference(rat,[],[s3,s931,s944,s908,s943]) ).
cnf(s946,plain,
spl0_38,
inference(rat,[],[s71,s945]) ).
cnf(s948,plain,
~ spl0_32,
inference(rat,[],[s215,s925,s946]) ).
cnf(s950,plain,
~ spl0_35,
inference(rat,[],[s100,s925,s946]) ).
cnf(s954,plain,
$false,
inference(rat,[],[s7,s904,s929,s939,s948,s950]) ).
fof(f3267,plain,
$false,
inference(avatar_sat_refutation,[],[s954]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG078+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.16 % Computer : n004.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 19:25:07 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 Running first-order model finding
% 0.09/0.19 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/0.29 % (672671)Will run a generic schedule for satisfiability detection.
% 0.44/0.29 % (672676)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2911900967_2999 on theBenchmark for (2999ds/0Mi)
% 0.44/0.29 % (672677)% WARNING: option uhcvi not known.
% 0.44/0.29 % Detected minimum model sizes of [10]
% 0.44/0.29 % Detected maximum model sizes of [max]
% 0.44/0.29 % TRYING [10]
% 0.44/0.29 % (672680)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3656475526:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.44/0.29 % (672677)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1682828340:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.44/0.29 % (672679)dis+10_1_sil=32000:sp=arity:random_seed=3093691956:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.44/0.29 % (672678)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3337661793:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.44/0.29 % (672681)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=307234397:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.44/0.29 % (672682)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2592395777:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.44/0.29 % (672680) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-672671-672680"...
% 0.44/0.29 % (672679)Instruction limit reached!
% 0.44/0.29 % (672679)------------------------------
% 0.44/0.29 % (672679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.29 % (672679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.29 % (672679)CaDiCaL version: 2.1.3
% 0.44/0.29 % (672679)Termination reason: Instruction limit
% 0.44/0.29 % (672679)Termination phase: Saturation
% 0.44/0.29 % (672679)Time elapsed: 0.052 s
% 0.44/0.29 % (672679)Peak memory usage: 12 MB
% 0.44/0.29 % (672679)Instructions burned: 104 (million)
% 0.44/0.29 % (672680)...printing done.
% 0.44/0.29 % (672680)Refutation found. Thanks to Tanya!
% 0.44/0.29 % SZS status Theorem for theBenchmark
% 0.44/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.44/0.30 % (672680)------------------------------
% 0.44/0.30 % (672680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.30 % (672680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.30 % (672680)CaDiCaL version: 2.1.3
% 0.44/0.30 % (672680)Termination reason: Refutation
% 0.44/0.30 % (672680)Time elapsed: 0.058 s
% 0.44/0.30 % (672680)Peak memory usage: 13 MB
% 0.44/0.30 % (672680)Instructions burned: 112 (million)
% 0.44/0.30 % (672671)Success in time 0.093 s
% 0.44/0.30 % Vampire exiting
%------------------------------------------------------------------------------