%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG078+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:09:31 AM UTC 2026
% Result : Theorem 4.75s 1.35s
% Output : Refutation 5.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 55
% Syntax : Number of formulae : 677 ( 77 unt; 50 def)
% Number of atoms : 2220 ( 915 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 2540 ( 997 ~;1151 |; 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( e10 = j(e24)
| e11 = j(e24)
| e12 = j(e24)
| e13 = j(e24)
| e14 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f11,plain,
( e10 = j(e23)
| e11 = j(e23)
| e12 = j(e23)
| e13 = j(e23)
| e14 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
fof(f12,plain,
( e10 = j(e22)
| e11 = j(e22)
| e12 = j(e22)
| e13 = j(e22)
| e14 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
fof(f13,plain,
( e10 = j(e21)
| e11 = j(e21)
| e12 = j(e21)
| e13 = j(e21)
| e14 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f14,plain,
( e10 = j(e20)
| e11 = j(e20)
| e12 = j(e20)
| e13 = j(e20)
| e14 = j(e20) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
( e20 = h(e14)
| e21 = h(e14)
| e22 = h(e14)
| e23 = h(e14)
| e24 = h(e14) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
( e20 = h(e13)
| e21 = h(e13)
| e22 = h(e13)
| e23 = h(e13)
| e24 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
( e20 = h(e12)
| e21 = h(e12)
| e22 = h(e12)
| e23 = h(e12)
| e24 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
( e20 = h(e11)
| e21 = h(e11)
| e22 = h(e11)
| e23 = h(e11)
| e24 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
( e20 = h(e10)
| e21 = h(e10)
| e22 = h(e10)
| e23 = h(e10)
| e24 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f21,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f24,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f32,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f38,plain,
j(op2(e23,e21)) = op1(j(e23),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f80,plain,
e20 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e22 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
e21 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
e23 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
e24 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f85,plain,
e22 = op2(e23,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f88,plain,
e24 = op2(e23,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
e10 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f106,plain,
e12 = op1(e14,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f107,plain,
e11 = op1(e14,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f110,plain,
e11 = op1(e13,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f111,plain,
e14 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f112,plain,
e10 = op1(e13,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f116,plain,
e11 = op1(e12,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f118,plain,
e10 = op1(e12,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f119,plain,
e12 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f120,plain,
e12 = op1(e11,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f121,plain,
e10 = op1(e11,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f124,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f129,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f155,plain,
e23 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f157,plain,
e22 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f158,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f161,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f165,plain,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f166,plain,
e12 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f167,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f168,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f169,plain,
e11 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f170,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f171,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f172,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f173,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f174,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f176,definition,
( spl0_1
<=> e14 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f177,plain,
( e14 != j(e24)
| spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( e14 = j(e24)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl0_2
<=> e13 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f182,plain,
( e13 = j(e24)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl0_3
<=> e12 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f186,plain,
( e12 = j(e24)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl0_4
<=> e11 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f190,plain,
( e11 = j(e24)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl0_5
<=> e10 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f194,plain,
( e10 = j(e24)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f192,f188,f184,f180,f176]) ).
fof(f197,definition,
( spl0_6
<=> e14 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f198,plain,
( e14 != j(e23)
| spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f199,plain,
( e14 = j(e23)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl0_7
<=> e13 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f203,plain,
( e13 = j(e23)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl0_8
<=> e12 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f207,plain,
( e12 = j(e23)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_9
<=> e11 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f210,plain,
( e11 != j(e23)
| spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f211,plain,
( e11 = j(e23)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_10
<=> e10 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f215,plain,
( e10 = j(e23)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f213,f209,f205,f201,f197]) ).
fof(f218,definition,
( spl0_11
<=> e14 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f219,plain,
( e14 != j(e22)
| spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( e14 = j(e22)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_12
<=> e13 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f224,plain,
( e13 = j(e22)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl0_13
<=> e12 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f228,plain,
( e12 = j(e22)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl0_14
<=> e11 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f232,plain,
( e11 = j(e22)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl0_15
<=> e10 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f236,plain,
( e10 = j(e22)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f12,f234,f230,f226,f222,f218]) ).
fof(f239,definition,
( spl0_16
<=> e14 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f240,plain,
( e14 != j(e21)
| spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f241,plain,
( e14 = j(e21)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f243,definition,
( spl0_17
<=> e13 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f245,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl0_18
<=> e12 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f248,plain,
( e12 != j(e21)
| spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f249,plain,
( e12 = j(e21)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl0_19
<=> e11 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f253,plain,
( e11 = j(e21)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_20
<=> e10 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f257,plain,
( e10 = j(e21)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f13,f255,f251,f247,f243,f239]) ).
fof(f260,definition,
( spl0_21
<=> e14 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f261,plain,
( e14 != j(e20)
| spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( e14 = j(e20)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl0_22
<=> e13 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f265,plain,
( e13 != j(e20)
| spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( e13 = j(e20)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_23
<=> e12 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f270,plain,
( e12 = j(e20)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_24
<=> e11 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f274,plain,
( e11 = j(e20)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl0_25
<=> e10 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f278,plain,
( e10 = j(e20)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f14,f276,f272,f268,f264,f260]) ).
fof(f281,definition,
( spl0_26
<=> e24 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f283,plain,
( e24 = h(e14)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl0_27
<=> e23 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f287,plain,
( e23 = h(e14)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f289,definition,
( spl0_28
<=> e22 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f291,plain,
( e22 = h(e14)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,definition,
( spl0_29
<=> e21 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f295,plain,
( e21 = h(e14)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl0_30
<=> e20 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f299,plain,
( e20 = h(e14)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f15,f297,f293,f289,f285,f281]) ).
fof(f302,definition,
( spl0_31
<=> e24 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f304,plain,
( e24 = h(e13)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl0_32
<=> e23 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f308,plain,
( e23 = h(e13)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl0_33
<=> e22 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f312,plain,
( e22 = h(e13)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl0_34
<=> e21 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f316,plain,
( e21 = h(e13)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl0_35
<=> e20 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f320,plain,
( e20 = h(e13)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f16,f318,f314,f310,f306,f302]) ).
fof(f323,definition,
( spl0_36
<=> e24 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f325,plain,
( e24 = h(e12)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl0_37
<=> e23 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f329,plain,
( e23 = h(e12)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl0_38
<=> e22 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f333,plain,
( e22 = h(e12)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl0_39
<=> e21 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f337,plain,
( e21 = h(e12)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl0_40
<=> e20 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f341,plain,
( e20 = h(e12)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f17,f339,f335,f331,f327,f323]) ).
fof(f344,definition,
( spl0_41
<=> e24 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f346,plain,
( e24 = h(e11)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f348,definition,
( spl0_42
<=> e23 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f350,plain,
( e23 = h(e11)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f352,definition,
( spl0_43
<=> e22 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f354,plain,
( e22 = h(e11)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f356,definition,
( spl0_44
<=> e21 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f358,plain,
( e21 = h(e11)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl0_45
<=> e20 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f362,plain,
( e20 = h(e11)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f18,f360,f356,f352,f348,f344]) ).
fof(f365,definition,
( spl0_46
<=> e24 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f367,plain,
( e24 = h(e10)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl0_47
<=> e23 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f371,plain,
( e23 = h(e10)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f373,definition,
( spl0_48
<=> e22 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f375,plain,
( e22 = h(e10)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f377,definition,
( spl0_49
<=> e21 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f379,plain,
( e21 = h(e10)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f381,definition,
( spl0_50
<=> e20 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f383,plain,
( e20 = h(e10)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f384,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f19,f381,f377,f373,f369,f365]) ).
fof(f385,plain,
j(e20) = op1(j(e24),j(e24)),
inference(forward_demodulation,[],[f30,f80]) ).
fof(f386,plain,
j(e22) = op1(j(e24),j(e23)),
inference(forward_demodulation,[],[f31,f81]) ).
fof(f387,plain,
j(e21) = op1(j(e24),j(e22)),
inference(forward_demodulation,[],[f32,f82]) ).
fof(f388,plain,
j(e23) = op1(j(e24),j(e21)),
inference(forward_demodulation,[],[f33,f83]) ).
fof(f389,plain,
j(e24) = op1(j(e24),j(e20)),
inference(forward_demodulation,[],[f34,f84]) ).
fof(f390,plain,
j(e22) = op1(j(e23),j(e24)),
inference(forward_demodulation,[],[f35,f85]) ).
fof(f393,plain,
j(e24) = op1(j(e23),j(e21)),
inference(forward_demodulation,[],[f38,f88]) ).
fof(f435,plain,
( e14 = j(e24)
| ~ spl0_26 ),
inference(superposition,[],[f20,f283]) ).
fof(f441,plain,
( e13 = j(e24)
| ~ spl0_31 ),
inference(superposition,[],[f21,f304]) ).
fof(f442,plain,
( e12 = j(e24)
| ~ spl0_36 ),
inference(superposition,[],[f22,f325]) ).
fof(f443,plain,
( spl0_3
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f442,f323,f184]) ).
fof(f445,plain,
( e12 = j(e23)
| ~ spl0_37 ),
inference(superposition,[],[f22,f329]) ).
fof(f446,plain,
( spl0_8
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f445,f327,f205]) ).
fof(f459,plain,
( e14 = j(e22)
| ~ spl0_28 ),
inference(superposition,[],[f20,f291]) ).
fof(f460,plain,
( e11 = j(e24)
| ~ spl0_41 ),
inference(superposition,[],[f23,f346]) ).
fof(f461,plain,
( spl0_4
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f460,f344,f188]) ).
fof(f463,plain,
( e11 = j(e23)
| ~ spl0_42 ),
inference(superposition,[],[f23,f350]) ).
fof(f464,plain,
( spl0_9
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f463,f348,f209]) ).
fof(f467,plain,
( e11 = j(e22)
| ~ spl0_43 ),
inference(superposition,[],[f23,f354]) ).
fof(f468,plain,
( spl0_14
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f467,f352,f230]) ).
fof(f479,plain,
( e11 = j(e21)
| ~ spl0_44 ),
inference(superposition,[],[f23,f358]) ).
fof(f480,plain,
( spl0_19
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f479,f356,f251]) ).
fof(f488,plain,
( e10 = j(e24)
| ~ spl0_46 ),
inference(superposition,[],[f24,f367]) ).
fof(f489,plain,
( spl0_5
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f488,f365,f192]) ).
fof(f491,plain,
( e10 = j(e23)
| ~ spl0_47 ),
inference(superposition,[],[f24,f371]) ).
fof(f492,plain,
( spl0_10
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f491,f369,f213]) ).
fof(f495,plain,
( e10 = j(e22)
| ~ spl0_48 ),
inference(superposition,[],[f24,f375]) ).
fof(f496,plain,
( spl0_15
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f495,f373,f234]) ).
fof(f500,plain,
( e10 = j(e21)
| ~ spl0_49 ),
inference(superposition,[],[f24,f379]) ).
fof(f501,plain,
( spl0_20
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f500,f377,f255]) ).
fof(f506,plain,
( e10 = j(e20)
| ~ spl0_50 ),
inference(superposition,[],[f24,f383]) ).
fof(f507,plain,
( spl0_25
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f506,f381,f276]) ).
fof(f509,plain,
( e10 = e14
| ~ spl0_21
| ~ spl0_25 ),
inference(superposition,[],[f262,f278]) ).
fof(f510,plain,
( $false
| ~ spl0_21
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f509,f171]) ).
fof(f511,plain,
( ~ spl0_21
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f510]) ).
fof(f527,plain,
( e13 = j(e23)
| ~ spl0_32 ),
inference(superposition,[],[f21,f308]) ).
fof(f528,plain,
( e12 = e13
| ~ spl0_8
| ~ spl0_32 ),
inference(forward_demodulation,[],[f527,f207]) ).
fof(f529,plain,
( $false
| ~ spl0_8
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f528,f167]) ).
fof(f530,plain,
( ~ spl0_8
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f533,plain,
( e13 = j(e22)
| ~ spl0_33 ),
inference(superposition,[],[f21,f312]) ).
fof(f534,plain,
( spl0_12
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f533,f310,f222]) ).
fof(f538,plain,
( e13 = j(e21)
| ~ spl0_34 ),
inference(superposition,[],[f21,f316]) ).
fof(f539,plain,
( e11 = e13
| ~ spl0_19
| ~ spl0_34 ),
inference(forward_demodulation,[],[f538,f253]) ).
fof(f540,plain,
( $false
| ~ spl0_19
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f539,f169]) ).
fof(f541,plain,
( ~ spl0_19
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f543,plain,
( spl0_17
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f538,f314,f243]) ).
fof(f544,plain,
( e13 = e14
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f245,f241]) ).
fof(f548,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f544,f165]) ).
fof(f549,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f548]) ).
fof(f556,plain,
( e11 = j(e20)
| ~ spl0_45 ),
inference(superposition,[],[f23,f362]) ).
fof(f557,plain,
( spl0_24
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f556,f360,f272]) ).
fof(f590,plain,
( $false
| spl0_11
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f459,f219]) ).
fof(f591,plain,
( spl0_11
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f601,plain,
( e10 = e14
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f236,f220]) ).
fof(f605,plain,
( $false
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f601,f171]) ).
fof(f606,plain,
( ~ spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f610,plain,
( e10 = e13
| ~ spl0_17
| ~ spl0_20 ),
inference(superposition,[],[f257,f245]) ).
fof(f614,plain,
( $false
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f610,f172]) ).
fof(f615,plain,
( ~ spl0_17
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f614]) ).
fof(f626,plain,
( e23 = h(e12)
| ~ spl0_8 ),
inference(superposition,[],[f26,f207]) ).
fof(f629,plain,
( e20 = h(e10)
| ~ spl0_25 ),
inference(superposition,[],[f29,f278]) ).
fof(f679,plain,
( op1(e10,e10) = j(e20)
| ~ spl0_5 ),
inference(superposition,[],[f385,f194]) ).
fof(f680,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(superposition,[],[f25,f194]) ).
fof(f681,plain,
( e11 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f679,f274]) ).
fof(f683,plain,
( e10 = e11
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f681,f129]) ).
fof(f685,plain,
( $false
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f683,f174]) ).
fof(f686,plain,
( ~ spl0_5
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f689,plain,
( e12 = e13
| ~ spl0_13
| ~ spl0_33 ),
inference(forward_demodulation,[],[f533,f228]) ).
fof(f695,plain,
( e12 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[],[f679,f270]) ).
fof(f698,plain,
( $false
| ~ spl0_13
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f689,f167]) ).
fof(f699,plain,
( ~ spl0_13
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f698]) ).
fof(f700,plain,
( e10 = e12
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[],[f695,f129]) ).
fof(f701,plain,
( $false
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f700,f173]) ).
fof(f702,plain,
( ~ spl0_5
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f706,plain,
( e13 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_demodulation,[],[f679,f266]) ).
fof(f711,plain,
( e10 = e13
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_demodulation,[],[f706,f129]) ).
fof(f716,plain,
( $false
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f711,f172]) ).
fof(f717,plain,
( ~ spl0_5
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f722,plain,
( e14 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f679,f262]) ).
fof(f723,plain,
( e10 = e14
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f722,f129]) ).
fof(f724,plain,
( $false
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f723,f171]) ).
fof(f725,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f724]) ).
fof(f726,plain,
( spl0_50
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f629,f276,f381]) ).
fof(f737,plain,
( e21 = h(e11)
| ~ spl0_19 ),
inference(superposition,[],[f28,f253]) ).
fof(f743,plain,
( e14 = j(e20)
| ~ spl0_30 ),
inference(superposition,[],[f20,f299]) ).
fof(f744,plain,
( $false
| spl0_21
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f743,f261]) ).
fof(f745,plain,
( spl0_21
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f744]) ).
fof(f754,plain,
( e14 = j(e21)
| ~ spl0_29 ),
inference(superposition,[],[f20,f295]) ).
fof(f808,plain,
( e23 = h(e13)
| ~ spl0_7 ),
inference(superposition,[],[f26,f203]) ).
fof(f831,plain,
( spl0_32
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f808,f201,f306]) ).
fof(f845,plain,
( e12 = j(e22)
| ~ spl0_38 ),
inference(superposition,[],[f22,f333]) ).
fof(f852,plain,
( e12 = j(e21)
| ~ spl0_39 ),
inference(superposition,[],[f22,f337]) ).
fof(f853,plain,
( $false
| spl0_18
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f852,f248]) ).
fof(f854,plain,
( spl0_18
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f853]) ).
fof(f859,plain,
( e12 = j(e20)
| ~ spl0_40 ),
inference(superposition,[],[f22,f341]) ).
fof(f860,plain,
( e10 = e12
| ~ spl0_25
| ~ spl0_40 ),
inference(forward_demodulation,[],[f859,f278]) ).
fof(f861,plain,
( $false
| ~ spl0_25
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f860,f173]) ).
fof(f862,plain,
( ~ spl0_25
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f861]) ).
fof(f877,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f527,f306,f201]) ).
fof(f882,plain,
( e11 = e13
| ~ spl0_14
| ~ spl0_33 ),
inference(forward_demodulation,[],[f533,f232]) ).
fof(f885,plain,
( $false
| ~ spl0_14
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f882,f169]) ).
fof(f886,plain,
( ~ spl0_14
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f885]) ).
fof(f889,plain,
( e12 = e13
| ~ spl0_18
| ~ spl0_34 ),
inference(forward_demodulation,[],[f538,f249]) ).
fof(f892,plain,
( $false
| ~ spl0_18
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f889,f167]) ).
fof(f893,plain,
( ~ spl0_18
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f892]) ).
fof(f909,plain,
( e23 = h(e14)
| ~ spl0_6 ),
inference(superposition,[],[f26,f199]) ).
fof(f919,plain,
( e14 = j(e23)
| ~ spl0_27 ),
inference(superposition,[],[f20,f287]) ).
fof(f924,plain,
( e13 = j(e20)
| ~ spl0_35 ),
inference(superposition,[],[f21,f320]) ).
fof(f961,plain,
( j(e23) = op1(j(e24),e12)
| ~ spl0_18 ),
inference(superposition,[],[f388,f249]) ).
fof(f976,plain,
( $false
| spl0_6
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f919,f198]) ).
fof(f977,plain,
( spl0_6
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f976]) ).
fof(f987,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f441,f302,f180]) ).
fof(f991,plain,
( op1(e14,e12) = j(e23)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[],[f961,f178]) ).
fof(f1017,plain,
( e11 = j(e23)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[],[f991,f107]) ).
fof(f1022,plain,
( e24 = h(e14)
| ~ spl0_1 ),
inference(superposition,[],[f25,f178]) ).
fof(f1080,plain,
( j(e22) = op1(e11,j(e23))
| ~ spl0_4 ),
inference(superposition,[],[f386,f190]) ).
fof(f1084,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1080,f215]) ).
fof(f1087,plain,
( e14 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1084,f220]) ).
fof(f1090,plain,
( e11 = e14
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1087,f124]) ).
fof(f1091,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1090,f168]) ).
fof(f1092,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1091]) ).
fof(f1117,plain,
( j(e22) = op1(j(e24),e11)
| ~ spl0_9 ),
inference(superposition,[],[f386,f211]) ).
fof(f1126,plain,
( e13 = e14
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f224,f220]) ).
fof(f1128,plain,
( j(e21) = op1(j(e24),e13)
| ~ spl0_12 ),
inference(superposition,[],[f387,f224]) ).
fof(f1130,plain,
( e22 = h(e13)
| ~ spl0_12 ),
inference(superposition,[],[f27,f224]) ).
fof(f1131,plain,
( op1(e11,e13) = j(e21)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1128,f190]) ).
fof(f1134,plain,
( $false
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1126,f165]) ).
fof(f1135,plain,
( ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1134]) ).
fof(f1136,plain,
( e12 = op1(e11,e13)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1131,f249]) ).
fof(f1137,plain,
( e10 = e12
| ~ spl0_4
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1136,f121]) ).
fof(f1138,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1137,f173]) ).
fof(f1139,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1138]) ).
fof(f1142,plain,
( e11 = e14
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f199,f211]) ).
fof(f1143,plain,
( spl0_27
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f909,f197,f285]) ).
fof(f1161,plain,
( op1(e12,e11) = j(e22)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1117,f186]) ).
fof(f1165,plain,
( $false
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1142,f168]) ).
fof(f1166,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1165]) ).
fof(f1174,plain,
( e13 = op1(e12,e11)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1161,f224]) ).
fof(f1176,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1174,f118]) ).
fof(f1178,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1176,f172]) ).
fof(f1179,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1178]) ).
fof(f1182,plain,
( spl0_44
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f737,f251,f356]) ).
fof(f1187,plain,
( j(e23) = op1(e12,j(e21))
| ~ spl0_3 ),
inference(superposition,[],[f388,f186]) ).
fof(f1195,plain,
( op1(e12,e11) = j(e23)
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1187,f253]) ).
fof(f1198,plain,
( e14 = op1(e12,e11)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1195,f199]) ).
fof(f1199,plain,
( e10 = e14
| ~ spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1198,f118]) ).
fof(f1200,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1199,f171]) ).
fof(f1201,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1200]) ).
fof(f1213,plain,
( spl0_13
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f845,f331,f226]) ).
fof(f1220,plain,
( spl0_23
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f859,f339,f268]) ).
fof(f1229,plain,
( j(e22) = op1(e11,j(e23))
| ~ spl0_4 ),
inference(superposition,[],[f386,f190]) ).
fof(f1233,plain,
( op1(e11,e14) = j(e22)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1229,f199]) ).
fof(f1236,plain,
( e13 = op1(e11,e14)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1233,f224]) ).
fof(f1239,plain,
( e12 = e13
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1236,f120]) ).
fof(f1241,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1239,f167]) ).
fof(f1242,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1241]) ).
fof(f1266,plain,
( e23 = e24
| ~ spl0_1
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1022,f287]) ).
fof(f1274,plain,
( $false
| ~ spl0_1
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1266,f155]) ).
fof(f1275,plain,
( ~ spl0_1
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1274]) ).
fof(f1283,plain,
( spl0_33
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1130,f222,f310]) ).
fof(f1295,plain,
( op1(e13,e13) = j(e20)
| ~ spl0_2 ),
inference(superposition,[],[f385,f182]) ).
fof(f1389,plain,
( e12 = e14
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f228,f220]) ).
fof(f1396,plain,
( $false
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1389,f166]) ).
fof(f1397,plain,
( ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1396]) ).
fof(f1424,plain,
( e14 = j(e20)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1295,f111]) ).
fof(f1425,plain,
( e11 = e13
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f211,f203]) ).
fof(f1434,plain,
( $false
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1425,f169]) ).
fof(f1435,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1434]) ).
fof(f1456,plain,
( e12 = e14
| ~ spl0_21
| ~ spl0_23 ),
inference(superposition,[],[f270,f262]) ).
fof(f1458,plain,
( e12 = e14
| ~ spl0_21
| ~ spl0_23 ),
inference(superposition,[],[f262,f270]) ).
fof(f1460,plain,
( $false
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1458,f166]) ).
fof(f1461,plain,
( ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1460]) ).
fof(f1462,plain,
( $false
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1456,f166]) ).
fof(f1463,plain,
( ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1462]) ).
fof(f1484,plain,
( $false
| ~ spl0_2
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f1424,f261]) ).
fof(f1485,plain,
( ~ spl0_2
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f1484]) ).
fof(f1492,plain,
( e11 = e12
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f186,f190]) ).
fof(f1496,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1492,f170]) ).
fof(f1497,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f1496]) ).
fof(f1522,plain,
( e24 = h(e12)
| ~ spl0_3 ),
inference(superposition,[],[f25,f186]) ).
fof(f1556,plain,
( spl0_37
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f626,f205,f327]) ).
fof(f1603,plain,
( e24 = h(e11)
| ~ spl0_4 ),
inference(superposition,[],[f25,f190]) ).
fof(f1608,plain,
( j(e21) = op1(e11,j(e22))
| ~ spl0_4 ),
inference(superposition,[],[f387,f190]) ).
fof(f1609,plain,
( j(e23) = op1(e11,j(e21))
| ~ spl0_4 ),
inference(superposition,[],[f388,f190]) ).
fof(f1610,plain,
( op1(e11,e13) = j(e23)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1609,f245]) ).
fof(f1611,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1608,f236]) ).
fof(f1618,plain,
( e12 = op1(e11,e13)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1610,f207]) ).
fof(f1619,plain,
( e13 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1611,f245]) ).
fof(f1621,plain,
( e10 = e12
| ~ spl0_4
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1618,f121]) ).
fof(f1622,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1619,f124]) ).
fof(f1623,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1621,f173]) ).
fof(f1624,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1623]) ).
fof(f1625,plain,
( $false
| ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1622,f169]) ).
fof(f1626,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1625]) ).
fof(f1669,plain,
( e13 = op1(e13,j(e20))
| ~ spl0_2 ),
inference(superposition,[],[f389,f182]) ).
fof(f1672,plain,
( e13 = op1(e13,e14)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1669,f262]) ).
fof(f1674,plain,
( e11 = e13
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1672,f110]) ).
fof(f1677,plain,
( $false
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1674,f169]) ).
fof(f1678,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1677]) ).
fof(f1726,plain,
( op1(e14,e14) = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f385,f178]) ).
fof(f1735,plain,
( e13 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1726,f266]) ).
fof(f1740,plain,
( e10 = e13
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1735,f105]) ).
fof(f1743,plain,
( $false
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1740,f172]) ).
fof(f1744,plain,
( ~ spl0_1
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1743]) ).
fof(f1747,plain,
( $false
| spl0_22
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f924,f265]) ).
fof(f1748,plain,
( spl0_22
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f1747]) ).
fof(f1761,plain,
( e21 = e24
| ~ spl0_4
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1603,f358]) ).
fof(f1767,plain,
( $false
| spl0_1
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f435,f177]) ).
fof(f1768,plain,
( spl0_1
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1767]) ).
fof(f1779,plain,
( $false
| ~ spl0_4
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1761,f158]) ).
fof(f1780,plain,
( ~ spl0_4
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1779]) ).
fof(f1794,plain,
( e11 = op1(e11,j(e20))
| ~ spl0_4 ),
inference(superposition,[],[f389,f190]) ).
fof(f1795,plain,
( e11 = op1(e11,e13)
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1794,f266]) ).
fof(f1800,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1795,f121]) ).
fof(f1804,plain,
( $false
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1800,f174]) ).
fof(f1805,plain,
( ~ spl0_4
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1804]) ).
fof(f1811,plain,
( e23 = e24
| ~ spl0_3
| ~ spl0_37 ),
inference(forward_demodulation,[],[f1522,f329]) ).
fof(f1824,plain,
( $false
| ~ spl0_3
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1811,f155]) ).
fof(f1825,plain,
( ~ spl0_3
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1824]) ).
fof(f1855,plain,
( j(e21) = op1(e11,j(e22))
| ~ spl0_4 ),
inference(superposition,[],[f387,f190]) ).
fof(f1856,plain,
( j(e23) = op1(e11,j(e21))
| ~ spl0_4 ),
inference(superposition,[],[f388,f190]) ).
fof(f1860,plain,
( op1(e11,e13) = j(e21)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1855,f224]) ).
fof(f1864,plain,
( e14 = op1(e11,e13)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1860,f241]) ).
fof(f1866,plain,
( e10 = e14
| ~ spl0_4
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1864,f121]) ).
fof(f1867,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1866,f171]) ).
fof(f1868,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1867]) ).
fof(f1879,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1856,f257]) ).
fof(f1881,plain,
( e12 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1879,f207]) ).
fof(f1882,plain,
( e11 = e12
| ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1881,f124]) ).
fof(f1883,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1882,f170]) ).
fof(f1884,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1883]) ).
fof(f1962,plain,
( j(e24) = op1(e12,j(e21))
| ~ spl0_8 ),
inference(superposition,[],[f393,f207]) ).
fof(f1963,plain,
( j(e24) = op1(j(e23),e13)
| ~ spl0_17 ),
inference(superposition,[],[f393,f245]) ).
fof(f1965,plain,
( op1(e12,e13) = j(e24)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1962,f245]) ).
fof(f1967,plain,
( e14 = op1(e12,e13)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1965,f178]) ).
fof(f1969,plain,
( e11 = e14
| ~ spl0_1
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1967,f116]) ).
fof(f1972,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1969,f168]) ).
fof(f1973,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1972]) ).
fof(f1974,plain,
( e20 = e24
| ~ spl0_5
| ~ spl0_50 ),
inference(forward_demodulation,[],[f680,f383]) ).
fof(f1976,plain,
( $false
| spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f754,f240]) ).
fof(f1977,plain,
( spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1976]) ).
fof(f1985,plain,
( op1(e11,e13) = j(e24)
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1963,f211]) ).
fof(f1990,plain,
( $false
| ~ spl0_5
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1974,f161]) ).
fof(f1991,plain,
( ~ spl0_5
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1990]) ).
fof(f2007,plain,
( e12 = op1(e11,e13)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1985,f186]) ).
fof(f2017,plain,
( e10 = e12
| ~ spl0_3
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2007,f121]) ).
fof(f2018,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2017,f173]) ).
fof(f2019,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f2018]) ).
fof(f2037,plain,
( j(e21) = op1(e12,j(e22))
| ~ spl0_3 ),
inference(superposition,[],[f387,f186]) ).
fof(f2039,plain,
( e12 = op1(e12,j(e20))
| ~ spl0_3 ),
inference(superposition,[],[f389,f186]) ).
fof(f2042,plain,
( e12 = op1(e12,e11)
| ~ spl0_3
| ~ spl0_24 ),
inference(forward_demodulation,[],[f2039,f274]) ).
fof(f2048,plain,
( e10 = e12
| ~ spl0_3
| ~ spl0_24 ),
inference(forward_demodulation,[],[f2042,f118]) ).
fof(f2053,plain,
( $false
| ~ spl0_3
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f2048,f173]) ).
fof(f2054,plain,
( ~ spl0_3
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f2053]) ).
fof(f2071,plain,
( op1(e12,e11) = j(e21)
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[],[f2037,f232]) ).
fof(f2077,plain,
( e13 = op1(e12,e11)
| ~ spl0_3
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2071,f245]) ).
fof(f2083,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2077,f118]) ).
fof(f2088,plain,
( $false
| ~ spl0_3
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2083,f172]) ).
fof(f2089,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f2088]) ).
fof(f2110,plain,
( j(e22) = op1(e11,j(e23))
| ~ spl0_4 ),
inference(superposition,[],[f386,f190]) ).
fof(f2111,plain,
( j(e21) = op1(e11,j(e22))
| ~ spl0_4 ),
inference(superposition,[],[f387,f190]) ).
fof(f2112,plain,
( j(e23) = op1(e11,j(e21))
| ~ spl0_4 ),
inference(superposition,[],[f388,f190]) ).
fof(f2117,plain,
( op1(e11,e13) = j(e23)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2112,f245]) ).
fof(f2119,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2110,f215]) ).
fof(f2124,plain,
( e12 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2119,f228]) ).
fof(f2126,plain,
( e11 = e12
| ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2124,f124]) ).
fof(f2129,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f2126,f170]) ).
fof(f2130,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2129]) ).
fof(f2143,plain,
( e14 = op1(e11,e13)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2117,f199]) ).
fof(f2148,plain,
( e10 = e14
| ~ spl0_4
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2143,f121]) ).
fof(f2151,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2148,f171]) ).
fof(f2152,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f2151]) ).
fof(f2166,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f2111,f236]) ).
fof(f2168,plain,
( op1(e11,e13) = j(e22)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2110,f203]) ).
fof(f2170,plain,
( e12 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2166,f249]) ).
fof(f2173,plain,
( e11 = e12
| ~ spl0_4
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2170,f124]) ).
fof(f2174,plain,
( $false
| ~ spl0_4
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2173,f170]) ).
fof(f2175,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f2174]) ).
fof(f2182,plain,
( e11 = op1(e11,e13)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f2168,f232]) ).
fof(f2184,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f2182,f121]) ).
fof(f2185,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f2184,f174]) ).
fof(f2186,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f2185]) ).
fof(f2197,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f2112,f257]) ).
fof(f2207,plain,
( e13 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_demodulation,[],[f2197,f203]) ).
fof(f2209,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_demodulation,[],[f2207,f124]) ).
fof(f2210,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f2209,f169]) ).
fof(f2211,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f2210]) ).
fof(f2223,plain,
( op1(e11,e14) = j(e23)
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2112,f241]) ).
fof(f2226,plain,
( e12 = op1(e11,e13)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2168,f228]) ).
fof(f2227,plain,
( e13 = op1(e11,e14)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2223,f203]) ).
fof(f2229,plain,
( e10 = e12
| ~ spl0_4
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2226,f121]) ).
fof(f2230,plain,
( e12 = e13
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2227,f120]) ).
fof(f2232,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f2229,f173]) ).
fof(f2233,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2232]) ).
fof(f2234,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2230,f167]) ).
fof(f2235,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2234]) ).
fof(f2248,plain,
( e14 = op1(e11,e13)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2168,f220]) ).
fof(f2252,plain,
( e10 = e14
| ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2248,f121]) ).
fof(f2255,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f2252,f171]) ).
fof(f2256,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2255]) ).
fof(f2273,plain,
( j(e22) = op1(e12,j(e23))
| ~ spl0_3 ),
inference(superposition,[],[f386,f186]) ).
fof(f2276,plain,
( e12 = op1(e12,j(e20))
| ~ spl0_3 ),
inference(superposition,[],[f389,f186]) ).
fof(f2279,plain,
( e12 = op1(e12,e13)
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2276,f266]) ).
fof(f2285,plain,
( e11 = e12
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2279,f116]) ).
fof(f2290,plain,
( $false
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2285,f170]) ).
fof(f2291,plain,
( ~ spl0_3
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2290]) ).
fof(f2315,plain,
( op1(e12,e10) = j(e22)
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2273,f215]) ).
fof(f2319,plain,
( e13 = op1(e12,e10)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2315,f224]) ).
fof(f2321,plain,
( e12 = e13
| ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2319,f119]) ).
fof(f2324,plain,
( $false
| ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f2321,f167]) ).
fof(f2325,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f2324]) ).
fof(f2336,plain,
( op1(e14,e14) = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f385,f178]) ).
fof(f2338,plain,
( j(e21) = op1(e14,j(e22))
| ~ spl0_1 ),
inference(superposition,[],[f387,f178]) ).
fof(f2341,plain,
( j(e22) = op1(j(e23),e14)
| ~ spl0_1 ),
inference(superposition,[],[f390,f178]) ).
fof(f2345,plain,
( op1(e14,e13) = j(e21)
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2338,f224]) ).
fof(f2347,plain,
( e12 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f2336,f270]) ).
fof(f2353,plain,
( e10 = e12
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f2347,f105]) ).
fof(f2356,plain,
( $false
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f2353,f173]) ).
fof(f2357,plain,
( ~ spl0_1
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f2356]) ).
fof(f2359,plain,
( $false
| ~ spl0_1
| spl0_9
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1017,f210]) ).
fof(f2360,plain,
( ~ spl0_1
| spl0_9
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f2359]) ).
fof(f2381,plain,
( e12 = j(e21)
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2345,f106]) ).
fof(f2382,plain,
( op1(e11,e14) = j(e22)
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2341,f211]) ).
fof(f2385,plain,
( e13 = op1(e11,e14)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2382,f224]) ).
fof(f2387,plain,
( e12 = e13
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2385,f120]) ).
fof(f2388,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f2387,f167]) ).
fof(f2389,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f2388]) ).
fof(f2394,plain,
( e22 = e23
| ~ spl0_32
| ~ spl0_33 ),
inference(forward_demodulation,[],[f308,f312]) ).
fof(f2399,plain,
( $false
| ~ spl0_1
| ~ spl0_12
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f2381,f248]) ).
fof(f2400,plain,
( ~ spl0_1
| ~ spl0_12
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f2399]) ).
fof(f2411,plain,
( $false
| ~ spl0_32
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f2394,f157]) ).
fof(f2412,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f2411]) ).
fof(f2499,plain,
( j(e23) = op1(e12,j(e21))
| ~ spl0_3 ),
inference(superposition,[],[f388,f186]) ).
fof(f2501,plain,
( j(e22) = op1(j(e23),e12)
| ~ spl0_3 ),
inference(superposition,[],[f390,f186]) ).
fof(f2502,plain,
( op1(e13,e12) = j(e22)
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2501,f203]) ).
fof(f2504,plain,
( op1(e12,e11) = j(e23)
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2499,f253]) ).
fof(f2509,plain,
( e13 = op1(e12,e11)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2504,f203]) ).
fof(f2512,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2509,f118]) ).
fof(f2513,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f2512,f172]) ).
fof(f2514,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f2513]) ).
fof(f2528,plain,
( e11 = op1(e13,e12)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f2502,f232]) ).
fof(f2532,plain,
( e10 = e11
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f2528,f112]) ).
fof(f2534,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f2532,f174]) ).
fof(f2535,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f2534]) ).
fof(f2551,plain,
( j(e21) = op1(e14,j(e22))
| ~ spl0_1 ),
inference(superposition,[],[f387,f178]) ).
fof(f2554,plain,
( j(e22) = op1(j(e23),e14)
| ~ spl0_1 ),
inference(superposition,[],[f390,f178]) ).
fof(f2555,plain,
( op1(e13,e14) = j(e22)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2554,f203]) ).
fof(f2558,plain,
( op1(e14,e12) = j(e21)
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2551,f228]) ).
fof(f2561,plain,
( e12 = op1(e13,e14)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2555,f228]) ).
fof(f2565,plain,
( e11 = e12
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2561,f110]) ).
fof(f2566,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f2565,f170]) ).
fof(f2567,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2566]) ).
fof(f2571,plain,
( e13 = op1(e14,e12)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2558,f245]) ).
fof(f2576,plain,
( e11 = e13
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2571,f107]) ).
fof(f2579,plain,
( $false
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2576,f169]) ).
fof(f2580,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f2579]) ).
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(s12,plain,
( spl0_3
| ~ spl0_36 ),
inference(sat_conversion,[],[f443]) ).
cnf(s13,plain,
( spl0_8
| ~ spl0_37 ),
inference(sat_conversion,[],[f446]) ).
cnf(s17,plain,
( spl0_4
| ~ spl0_41 ),
inference(sat_conversion,[],[f461]) ).
cnf(s18,plain,
( spl0_9
| ~ spl0_42 ),
inference(sat_conversion,[],[f464]) ).
cnf(s19,plain,
( spl0_14
| ~ spl0_43 ),
inference(sat_conversion,[],[f468]) ).
cnf(s22,plain,
( spl0_19
| ~ spl0_44 ),
inference(sat_conversion,[],[f480]) ).
cnf(s25,plain,
( spl0_5
| ~ spl0_46 ),
inference(sat_conversion,[],[f489]) ).
cnf(s26,plain,
( spl0_10
| ~ spl0_47 ),
inference(sat_conversion,[],[f492]) ).
cnf(s27,plain,
( spl0_15
| ~ spl0_48 ),
inference(sat_conversion,[],[f496]) ).
cnf(s28,plain,
( spl0_20
| ~ spl0_49 ),
inference(sat_conversion,[],[f501]) ).
cnf(s29,plain,
( spl0_25
| ~ spl0_50 ),
inference(sat_conversion,[],[f507]) ).
cnf(s30,plain,
( ~ spl0_21
| ~ spl0_25 ),
inference(sat_conversion,[],[f511]) ).
cnf(s35,plain,
( ~ spl0_8
| ~ spl0_32 ),
inference(sat_conversion,[],[f530]) ).
cnf(s36,plain,
( spl0_12
| ~ spl0_33 ),
inference(sat_conversion,[],[f534]) ).
cnf(s37,plain,
( ~ spl0_19
| ~ spl0_34 ),
inference(sat_conversion,[],[f541]) ).
cnf(s38,plain,
( spl0_17
| ~ spl0_34 ),
inference(sat_conversion,[],[f543]) ).
cnf(s40,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f549]) ).
cnf(s41,plain,
( spl0_24
| ~ spl0_45 ),
inference(sat_conversion,[],[f557]) ).
cnf(s48,plain,
( spl0_11
| ~ spl0_28 ),
inference(sat_conversion,[],[f591]) ).
cnf(s50,plain,
( ~ spl0_11
| ~ spl0_15 ),
inference(sat_conversion,[],[f606]) ).
cnf(s52,plain,
( ~ spl0_17
| ~ spl0_20 ),
inference(sat_conversion,[],[f615]) ).
cnf(s59,plain,
( ~ spl0_5
| ~ spl0_24 ),
inference(sat_conversion,[],[f686]) ).
cnf(s62,plain,
( ~ spl0_13
| ~ spl0_33 ),
inference(sat_conversion,[],[f699]) ).
cnf(s63,plain,
( ~ spl0_5
| ~ spl0_23 ),
inference(sat_conversion,[],[f702]) ).
cnf(s66,plain,
( ~ spl0_5
| ~ spl0_22 ),
inference(sat_conversion,[],[f717]) ).
cnf(s67,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(sat_conversion,[],[f725]) ).
cnf(s68,plain,
( ~ spl0_25
| spl0_50 ),
inference(sat_conversion,[],[f726]) ).
cnf(s70,plain,
( spl0_21
| ~ spl0_30 ),
inference(sat_conversion,[],[f745]) ).
cnf(s82,plain,
( ~ spl0_7
| spl0_32 ),
inference(sat_conversion,[],[f831]) ).
cnf(s84,plain,
( spl0_18
| ~ spl0_39 ),
inference(sat_conversion,[],[f854]) ).
cnf(s85,plain,
( ~ spl0_25
| ~ spl0_40 ),
inference(sat_conversion,[],[f862]) ).
cnf(s88,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f877]) ).
cnf(s91,plain,
( ~ spl0_14
| ~ spl0_33 ),
inference(sat_conversion,[],[f886]) ).
cnf(s94,plain,
( ~ spl0_18
| ~ spl0_34 ),
inference(sat_conversion,[],[f893]) ).
cnf(s102,plain,
( spl0_6
| ~ spl0_27 ),
inference(sat_conversion,[],[f977]) ).
cnf(s103,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f987]) ).
cnf(s119,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f1092]) ).
cnf(s126,plain,
( ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f1135]) ).
cnf(s127,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_18 ),
inference(sat_conversion,[],[f1139]) ).
cnf(s128,plain,
( ~ spl0_6
| spl0_27 ),
inference(sat_conversion,[],[f1143]) ).
cnf(s130,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f1166]) ).
cnf(s134,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(sat_conversion,[],[f1179]) ).
cnf(s136,plain,
( ~ spl0_19
| spl0_44 ),
inference(sat_conversion,[],[f1182]) ).
cnf(s138,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(sat_conversion,[],[f1201]) ).
cnf(s142,plain,
( spl0_13
| ~ spl0_38 ),
inference(sat_conversion,[],[f1213]) ).
cnf(s143,plain,
( spl0_23
| ~ spl0_40 ),
inference(sat_conversion,[],[f1220]) ).
cnf(s144,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(sat_conversion,[],[f1242]) ).
cnf(s151,plain,
( ~ spl0_1
| ~ spl0_27 ),
inference(sat_conversion,[],[f1275]) ).
cnf(s155,plain,
( ~ spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f1283]) ).
cnf(s172,plain,
( ~ spl0_11
| ~ spl0_13 ),
inference(sat_conversion,[],[f1397]) ).
cnf(s181,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f1435]) ).
cnf(s184,plain,
( ~ spl0_21
| ~ spl0_23 ),
inference(sat_conversion,[],[f1461]) ).
cnf(s185,plain,
( ~ spl0_21
| ~ spl0_23 ),
inference(sat_conversion,[],[f1463]) ).
cnf(s198,plain,
( ~ spl0_2
| spl0_21 ),
inference(sat_conversion,[],[f1485]) ).
cnf(s203,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f1497]) ).
cnf(s215,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f1556]) ).
cnf(s227,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_17 ),
inference(sat_conversion,[],[f1624]) ).
cnf(s228,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f1626]) ).
cnf(s231,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(sat_conversion,[],[f1678]) ).
cnf(s244,plain,
( ~ spl0_1
| ~ spl0_22 ),
inference(sat_conversion,[],[f1744]) ).
cnf(s246,plain,
( spl0_22
| ~ spl0_35 ),
inference(sat_conversion,[],[f1748]) ).
cnf(s249,plain,
( spl0_1
| ~ spl0_26 ),
inference(sat_conversion,[],[f1768]) ).
cnf(s253,plain,
( ~ spl0_4
| ~ spl0_44 ),
inference(sat_conversion,[],[f1780]) ).
cnf(s260,plain,
( ~ spl0_4
| ~ spl0_22 ),
inference(sat_conversion,[],[f1805]) ).
cnf(s266,plain,
( ~ spl0_3
| ~ spl0_37 ),
inference(sat_conversion,[],[f1825]) ).
cnf(s279,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_16 ),
inference(sat_conversion,[],[f1868]) ).
cnf(s284,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(sat_conversion,[],[f1884]) ).
cnf(s293,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_17 ),
inference(sat_conversion,[],[f1973]) ).
cnf(s299,plain,
( spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f1977]) ).
cnf(s300,plain,
( ~ spl0_5
| ~ spl0_50 ),
inference(sat_conversion,[],[f1991]) ).
cnf(s309,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_17 ),
inference(sat_conversion,[],[f2019]) ).
cnf(s317,plain,
( ~ spl0_3
| ~ spl0_24 ),
inference(sat_conversion,[],[f2054]) ).
cnf(s329,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_17 ),
inference(sat_conversion,[],[f2089]) ).
cnf(s342,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_13 ),
inference(sat_conversion,[],[f2130]) ).
cnf(s348,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_17 ),
inference(sat_conversion,[],[f2152]) ).
cnf(s357,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_18 ),
inference(sat_conversion,[],[f2175]) ).
cnf(s361,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_14 ),
inference(sat_conversion,[],[f2186]) ).
cnf(s372,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(sat_conversion,[],[f2211]) ).
cnf(s379,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_13 ),
inference(sat_conversion,[],[f2233]) ).
cnf(s380,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_16 ),
inference(sat_conversion,[],[f2235]) ).
cnf(s387,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(sat_conversion,[],[f2256]) ).
cnf(s396,plain,
( ~ spl0_3
| ~ spl0_22 ),
inference(sat_conversion,[],[f2291]) ).
cnf(s406,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(sat_conversion,[],[f2325]) ).
cnf(s413,plain,
( ~ spl0_1
| ~ spl0_23 ),
inference(sat_conversion,[],[f2357]) ).
cnf(s414,plain,
( ~ spl0_1
| spl0_9
| ~ spl0_18 ),
inference(sat_conversion,[],[f2360]) ).
cnf(s425,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_12 ),
inference(sat_conversion,[],[f2389]) ).
cnf(s433,plain,
( ~ spl0_1
| ~ spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f2400]) ).
cnf(s437,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(sat_conversion,[],[f2412]) ).
cnf(s467,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_19 ),
inference(sat_conversion,[],[f2514]) ).
cnf(s475,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_14 ),
inference(sat_conversion,[],[f2535]) ).
cnf(s485,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_13 ),
inference(sat_conversion,[],[f2567]) ).
cnf(s491,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f2580]) ).
cnf(s492,plain,
~ spl0_5,
inference(rat,[],[s5,s68,s59,s63,s66,s67,s300]) ).
cnf(s493,plain,
~ spl0_46,
inference(rat,[],[s25,s492]) ).
cnf(s494,plain,
( ~ spl0_34
| spl0_28
| spl0_38
| spl0_37
| spl0_27
| spl0_36
| spl0_26 ),
inference(rat,[],[s70,s185,s6,s143,s299,s8,s40,s84,s38,s94]) ).
cnf(s495,plain,
( ~ spl0_10
| spl0_37
| spl0_32
| spl0_27
| ~ spl0_4
| spl0_36
| spl0_31
| spl0_26 ),
inference(rat,[],[s184,s143,s70,s8,s6,s84,s299,s127,s279,s36,s7,s494,s48,s142,s119,s342,s246,s260]) ).
cnf(s496,plain,
( ~ spl0_17
| spl0_28
| spl0_47
| spl0_27
| ~ spl0_4
| spl0_26 ),
inference(rat,[],[s30,s70,s29,s6,s10,s27,s299,s28,s228,s40,s52,s493]) ).
cnf(s497,plain,
( spl0_28
| spl0_37
| spl0_32
| spl0_27
| ~ spl0_4
| spl0_36
| spl0_31
| spl0_26 ),
inference(rat,[],[s184,s143,s70,s8,s6,s84,s299,s127,s279,s142,s36,s62,s7,s38,s496,s246,s260,s26,s495]) ).
cnf(s498,plain,
( spl0_37
| spl0_32
| spl0_27
| ~ spl0_4
| spl0_36
| spl0_31
| spl0_26 ),
inference(rat,[],[s29,s10,s85,s28,s8,s52,s84,s38,s94,s7,s27,s36,s142,s50,s126,s172,s48,s497,s26,s495,s246,s260,s493]) ).
cnf(s499,plain,
( spl0_32
| spl0_27
| ~ spl0_4
| spl0_36
| spl0_31
| spl0_26 ),
inference(rat,[],[s4,s127,s279,s36,s7,s38,s227,s284,s13,s498,s246,s260,s136,s253]) ).
cnf(s500,plain,
( ~ spl0_32
| ~ spl0_4 ),
inference(rat,[],[s4,s228,s357,s3,s361,s372,s379,s380,s387,s155,s88,s437,s136,s253]) ).
cnf(s501,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s7,s36,s38,s144,s348,s102,s499,s500,s246,s260,s1,s12,s249,s103,s492]) ).
cnf(s502,plain,
( ~ spl0_34
| ~ spl0_3 ),
inference(rat,[],[s9,s18,s19,s22,s309,s329,s37,s38,s41,s317,s17,s203]) ).
cnf(s503,plain,
( spl0_32
| spl0_6
| ~ spl0_3
| spl0_31 ),
inference(rat,[],[s2,s134,s406,s36,s7,s82,s246,s396,s215,s266,s502]) ).
cnf(s504,plain,
( ~ spl0_7
| ~ spl0_3 ),
inference(rat,[],[s9,s18,s22,s19,s181,s467,s475,s41,s317,s17,s203]) ).
cnf(s505,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s9,s19,s18,s22,s91,s130,s138,s7,s503,s88,s504,s502,s17,s41,s246,s203,s317,s396,s501,s103]) ).
cnf(s506,plain,
~ spl0_2,
inference(rat,[],[s198,s231]) ).
cnf(s507,plain,
~ spl0_31,
inference(rat,[],[s103,s506]) ).
cnf(s508,plain,
spl0_1,
inference(rat,[],[s505,s506]) ).
cnf(s509,plain,
~ spl0_23,
inference(rat,[],[s413,s508]) ).
cnf(s512,plain,
~ spl0_22,
inference(rat,[],[s244,s508]) ).
cnf(s516,plain,
~ spl0_27,
inference(rat,[],[s151,s508]) ).
cnf(s517,plain,
~ spl0_40,
inference(rat,[],[s143,s509]) ).
cnf(s520,plain,
~ spl0_35,
inference(rat,[],[s246,s512]) ).
cnf(s522,plain,
~ spl0_6,
inference(rat,[],[s128,s516]) ).
cnf(s526,plain,
( ~ spl0_34
| spl0_36 ),
inference(rat,[],[s8,s13,s142,s293,s491,s84,s38,s94,s517,s508]) ).
cnf(s527,plain,
~ spl0_12,
inference(rat,[],[s414,s425,s433,s508]) ).
cnf(s528,plain,
~ spl0_33,
inference(rat,[],[s36,s527]) ).
cnf(s529,plain,
spl0_36,
inference(rat,[],[s84,s8,s414,s142,s13,s181,s485,s35,s88,s7,s526,s517,s508,s528,s507,s520]) ).
cnf(s533,plain,
spl0_3,
inference(rat,[],[s12,s529]) ).
cnf(s538,plain,
~ spl0_7,
inference(rat,[],[s504,s533]) ).
cnf(s539,plain,
spl0_32,
inference(rat,[],[s503,s507,s522,s533]) ).
cnf(s541,plain,
$false,
inference(rat,[],[s88,s539,s538]) ).
fof(f2581,plain,
$false,
inference(avatar_sat_refutation,[],[s541]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG078+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n015.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 19:28:32 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.75/1.35 % (2929591)Detected formulas, will run a generic FOF schedule.
% 4.75/1.35 % (2929596)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=363983371:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.75/1.35 % (2929597)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=890426364:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.75/1.35 % (2929602)dis-21_1_sil=8000:lcm=predicate:random_seed=3595756085:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.75/1.35 % (2929601)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3187072126:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.75/1.35 % (2929599)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1501873900:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.75/1.35 % (2929600)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2027950560:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.75/1.35 % (2929598)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=914889824:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.75/1.35 % (2929602)Refutation not found, incomplete strategy
% 4.75/1.35 % (2929602)------------------------------
% 4.75/1.35 % (2929602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.35 % (2929602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.35 % (2929602)CaDiCaL version: 2.1.3
% 4.75/1.35 % (2929602)Termination reason: Refutation not found, incomplete strategy
% 4.75/1.35 % (2929602)Time elapsed: 0.005 s
% 4.75/1.35 % (2929602)Peak memory usage: 88 MB
% 4.75/1.35 % (2929602)Instructions burned: 8 (million)
% 4.75/1.35 % (2929600)Instruction limit reached!
% 4.75/1.35 % (2929600)------------------------------
% 4.75/1.35 % (2929600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.35 % (2929600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.35 % (2929600)CaDiCaL version: 2.1.3
% 4.75/1.35 % (2929600)Termination reason: Instruction limit
% 4.75/1.35 % (2929600)Termination phase: Saturation
% 4.75/1.35 % (2929600)Time elapsed: 0.050 s
% 4.75/1.35 % (2929600)Peak memory usage: 87 MB
% 4.75/1.35 % (2929600)Instructions burned: 121 (million)
% 4.75/1.35 % (2929599)Instruction limit reached!
% 4.75/1.35 % (2929599)------------------------------
% 4.75/1.35 % (2929599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.35 % (2929599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.35 % (2929599)CaDiCaL version: 2.1.3
% 4.75/1.35 % (2929599)Termination reason: Instruction limit
% 4.75/1.35 % (2929599)Termination phase: Saturation
% 4.75/1.35 % (2929599)Time elapsed: 0.059 s
% 4.75/1.35 % (2929599)Peak memory usage: 89 MB
% 4.75/1.35 % (2929599)Instructions burned: 109 (million)
% 4.75/1.35 % (2929601)Instruction limit reached!
% 4.75/1.35 % (2929601)------------------------------
% 4.75/1.35 % (2929601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.35 % (2929601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.35 % (2929601)CaDiCaL version: 2.1.3
% 4.75/1.35 % (2929601)Termination reason: Instruction limit
% 4.75/1.35 % (2929601)Termination phase: Saturation
% 4.75/1.35 % (2929601)Time elapsed: 0.076 s
% 4.75/1.35 % (2929601)Peak memory usage: 89 MB
% 4.75/1.35 % (2929601)Instructions burned: 140 (million)
% 4.75/1.35 [W928 19:28:33.264829863 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 [W928 19:28:33.264859256 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 [W928 19:28:33.264879289 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 [W928 19:28:33.264885075 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 [W928 19:28:33.264897900 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 [W928 19:28:33.264903212 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 % (2929610)lrs+10_1_sil=8000:sp=occurrence:random_seed=3021569833:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.75/1.35 % (2929611)lrs+10_1_sil=32000:urr=on:br=off:random_seed=127798003:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.75/1.35 % (2929612)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2435470545:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.75/1.35 % (2929602)------------------------------
% 4.75/1.35 % (2929602)------------------------------
% 4.75/1.35 % (2929610)First to succeed.
% 4.75/1.35 % (2929610)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2929591"
% 4.75/1.35 % (2929612)Also succeeded, but the first one will report.
% 4.75/1.35 % (2929611)Also succeeded, but the first one will report.
% 4.75/1.35 [W928 19:28:33.466865703 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 [W928 19:28:33.466903809 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 [W928 19:28:33.466940706 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 [W928 19:28:33.466953046 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 [W928 19:28:33.466979503 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 [W928 19:28:33.466990923 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 [W928 19:28:33.467125921 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 [W928 19:28:33.467154655 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 [W928 19:28:33.467191345 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 [W928 19:28:33.467258122 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 [W928 19:28:33.467311542 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 [W928 19:28:33.467327012 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.75/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.75/1.35 % (2929616)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2307569073:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.75/1.35 % (2929596)Also succeeded, but the first one will report.
% 4.75/1.35 % (2929610)Refutation found. Thanks to Tanya!
% 4.75/1.35 % SZS status Theorem for theBenchmark
% 4.75/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 5.48/1.54 % (2929610)------------------------------
% 5.48/1.54 % (2929610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.54 % (2929610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.54 % (2929610)CaDiCaL version: 2.1.3
% 5.48/1.54 % (2929610)Termination reason: Refutation
% 5.48/1.54 % (2929610)Time elapsed: 0.046 s
% 5.48/1.54 % (2929610)Peak memory usage: 90 MB
% 5.48/1.54 % (2929610)Instructions burned: 82 (million)
% 5.48/1.54 % (2929610)------------------------------
% 5.48/1.54 % (2929610)------------------------------
% 5.48/1.54 % (2929591)Success in time 0.688 s
% 5.48/1.54 % Vampire exiting
%------------------------------------------------------------------------------