%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG084+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : 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 09:21:25 AM UTC 2026
% Result : Theorem 0.19s 0.33s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 55
% Syntax : Number of formulae : 1172 ( 105 unt; 50 def)
% Number of atoms : 3523 (1132 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 4253 (1902 ~;1959 |; 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) = e10
& op1(e11,e13) = e12
& op1(e11,e14) = e13
& op1(e12,e10) = e12
& op1(e12,e11) = e10
& op1(e12,e12) = e13
& op1(e12,e13) = e14
& op1(e12,e14) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e14
& op1(e13,e13) = e11
& op1(e13,e14) = e10
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e10
& op1(e14,e14) = e12 ),
file('/export/starexec/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) = e23
& op2(e21,e23) = e24
& op2(e21,e24) = e20
& op2(e22,e20) = e22
& op2(e22,e21) = e24
& op2(e22,e22) = e21
& op2(e22,e23) = e20
& op2(e22,e24) = e23
& op2(e23,e20) = e23
& op2(e23,e21) = e20
& op2(e23,e22) = e24
& op2(e23,e23) = e21
& op2(e23,e24) = e22
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e20
& op2(e24,e23) = e22
& op2(e24,e24) = e21 ),
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,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
e12 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f12,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f14,plain,
e11 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f15,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f16,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f17,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
e23 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
e22 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f22,plain,
e22 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f25,plain,
e21 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f28,plain,
e20 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
e20 != e21,
inference(cnf_transformation,[],[f2]) ).
fof(f55,plain,
e12 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f56,plain,
e10 = op1(e14,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f57,plain,
e11 = op1(e14,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f58,plain,
e13 = op1(e14,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f60,plain,
e10 = op1(e13,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f61,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f63,plain,
e12 = op1(e13,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f64,plain,
e13 = op1(e13,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f65,plain,
e11 = op1(e12,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f67,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f68,plain,
e10 = op1(e12,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f69,plain,
e12 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f71,plain,
e12 = op1(e11,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f72,plain,
e10 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f74,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f76,plain,
e13 = op1(e10,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f77,plain,
e12 = op1(e10,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f78,plain,
e11 = op1(e10,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f79,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f80,plain,
e21 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e22 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
e20 = 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(f86,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f87,plain,
e24 = op2(e23,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
fof(f106,plain,
( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f107,plain,
( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f108,plain,
( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f109,plain,
( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) ),
inference(cnf_transformation,[],[f9]) ).
fof(f110,plain,
( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) ),
inference(cnf_transformation,[],[f9]) ).
fof(f111,plain,
( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f112,plain,
( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
fof(f113,plain,
( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
fof(f114,plain,
( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f115,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f116,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f117,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f118,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f119,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f120,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f121,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f122,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f123,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f124,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f125,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f126,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f127,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f128,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f129,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f130,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f131,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f132,plain,
j(op2(e23,e22)) = op1(j(e23),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f176,definition,
( spl0_1
<=> e20 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f177,plain,
( e20 != h(e10)
| spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( e20 = h(e10)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl0_2
<=> e21 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f181,plain,
( e21 != h(e10)
| spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f182,plain,
( e21 = h(e10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl0_3
<=> e22 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f186,plain,
( e22 = h(e10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl0_4
<=> e23 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f189,plain,
( e23 != h(e10)
| spl0_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f190,plain,
( e23 = h(e10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl0_5
<=> e24 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f194,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f105,f192,f188,f184,f180,f176]) ).
fof(f197,definition,
( spl0_6
<=> e20 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f198,plain,
( e20 != h(e11)
| spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f199,plain,
( e20 = h(e11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl0_7
<=> e21 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f202,plain,
( e21 != h(e11)
| spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f203,plain,
( e21 = h(e11)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl0_8
<=> e22 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f207,plain,
( e22 = h(e11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_9
<=> e23 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f211,plain,
( e23 = h(e11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_10
<=> e24 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f215,plain,
( e24 = h(e11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f106,f213,f209,f205,f201,f197]) ).
fof(f218,definition,
( spl0_11
<=> e20 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f219,plain,
( e20 != h(e12)
| spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( e20 = h(e12)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_12
<=> e21 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f224,plain,
( e21 = h(e12)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl0_13
<=> e22 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f227,plain,
( e22 != h(e12)
| spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( e22 = h(e12)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl0_14
<=> e23 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f232,plain,
( e23 = h(e12)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl0_15
<=> e24 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f236,plain,
( e24 = h(e12)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f107,f234,f230,f226,f222,f218]) ).
fof(f239,definition,
( spl0_16
<=> e20 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f240,plain,
( e20 != h(e13)
| spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f241,plain,
( e20 = h(e13)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f243,definition,
( spl0_17
<=> e21 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f244,plain,
( e21 != h(e13)
| spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f245,plain,
( e21 = h(e13)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl0_18
<=> e22 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f248,plain,
( e22 != h(e13)
| spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f249,plain,
( e22 = h(e13)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl0_19
<=> e23 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f252,plain,
( e23 != h(e13)
| spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( e23 = h(e13)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_20
<=> e24 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f257,plain,
( e24 = h(e13)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f108,f255,f251,f247,f243,f239]) ).
fof(f260,definition,
( spl0_21
<=> e20 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f261,plain,
( e20 != h(e14)
| spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( e20 = h(e14)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl0_22
<=> e21 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f266,plain,
( e21 = h(e14)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_23
<=> e22 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f269,plain,
( e22 != h(e14)
| spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f270,plain,
( e22 = h(e14)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_24
<=> e23 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f274,plain,
( e23 = h(e14)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl0_25
<=> e24 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f278,plain,
( e24 = h(e14)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f109,f276,f272,f268,f264,f260]) ).
fof(f281,definition,
( spl0_26
<=> e10 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f283,plain,
( e10 = j(e20)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl0_27
<=> e11 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f287,plain,
( e11 = j(e20)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f289,definition,
( spl0_28
<=> e12 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f291,plain,
( e12 = j(e20)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,definition,
( spl0_29
<=> e13 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f295,plain,
( e13 = j(e20)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl0_30
<=> e14 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f299,plain,
( e14 = j(e20)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f110,f297,f293,f289,f285,f281]) ).
fof(f302,definition,
( spl0_31
<=> e10 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f304,plain,
( e10 = j(e21)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl0_32
<=> e11 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f308,plain,
( e11 = j(e21)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl0_33
<=> e12 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f311,plain,
( e12 != j(e21)
| spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f312,plain,
( e12 = j(e21)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl0_34
<=> e13 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f316,plain,
( e13 = j(e21)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl0_35
<=> e14 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f320,plain,
( e14 = j(e21)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f111,f318,f314,f310,f306,f302]) ).
fof(f323,definition,
( spl0_36
<=> e10 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f325,plain,
( e10 = j(e22)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl0_37
<=> e11 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f329,plain,
( e11 = j(e22)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl0_38
<=> e12 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f333,plain,
( e12 = j(e22)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl0_39
<=> e13 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f336,plain,
( e13 != j(e22)
| spl0_39 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f337,plain,
( e13 = j(e22)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl0_40
<=> e14 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f341,plain,
( e14 = j(e22)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f112,f339,f335,f331,f327,f323]) ).
fof(f344,definition,
( spl0_41
<=> e10 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f346,plain,
( e10 = j(e23)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f348,definition,
( spl0_42
<=> e11 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f350,plain,
( e11 = j(e23)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f352,definition,
( spl0_43
<=> e12 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f354,plain,
( e12 = j(e23)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f356,definition,
( spl0_44
<=> e13 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f358,plain,
( e13 = j(e23)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl0_45
<=> e14 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f362,plain,
( e14 = j(e23)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f113,f360,f356,f352,f348,f344]) ).
fof(f365,definition,
( spl0_46
<=> e10 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f367,plain,
( e10 = j(e24)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl0_47
<=> e11 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f371,plain,
( e11 = j(e24)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f373,definition,
( spl0_48
<=> e12 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f375,plain,
( e12 = j(e24)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f377,definition,
( spl0_49
<=> e13 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f379,plain,
( e13 = j(e24)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f381,definition,
( spl0_50
<=> e14 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f383,plain,
( e14 = j(e24)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f384,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f114,f381,f377,f373,f369,f365]) ).
fof(f385,plain,
( e14 = j(e20)
| ~ spl0_21 ),
inference(superposition,[],[f115,f262]) ).
fof(f386,plain,
( e10 = e14
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f385,f283]) ).
fof(f387,plain,
( $false
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f386,f16]) ).
fof(f388,plain,
( ~ spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f390,plain,
( e14 = j(e21)
| ~ spl0_22 ),
inference(superposition,[],[f115,f266]) ).
fof(f391,plain,
( e10 = e14
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_demodulation,[],[f390,f304]) ).
fof(f392,plain,
( $false
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f391,f16]) ).
fof(f393,plain,
( ~ spl0_22
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f396,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f397,plain,
( e10 = e14
| ~ spl0_23
| ~ spl0_36 ),
inference(forward_demodulation,[],[f396,f325]) ).
fof(f398,plain,
( $false
| ~ spl0_23
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f397,f16]) ).
fof(f399,plain,
( ~ spl0_23
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f403,plain,
( e14 = j(e23)
| ~ spl0_24 ),
inference(superposition,[],[f115,f274]) ).
fof(f404,plain,
( e10 = e14
| ~ spl0_24
| ~ spl0_41 ),
inference(forward_demodulation,[],[f403,f346]) ).
fof(f405,plain,
( $false
| ~ spl0_24
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f404,f16]) ).
fof(f406,plain,
( ~ spl0_24
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f411,plain,
( e14 = j(e24)
| ~ spl0_25 ),
inference(superposition,[],[f115,f278]) ).
fof(f412,plain,
( e10 = e14
| ~ spl0_25
| ~ spl0_46 ),
inference(forward_demodulation,[],[f411,f367]) ).
fof(f413,plain,
( $false
| ~ spl0_25
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f412,f16]) ).
fof(f414,plain,
( ~ spl0_25
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f415,plain,
( spl0_30
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f385,f260,f297]) ).
fof(f417,plain,
( e11 = e14
| ~ spl0_27
| ~ spl0_30 ),
inference(forward_demodulation,[],[f299,f287]) ).
fof(f418,plain,
( $false
| ~ spl0_27
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f417,f13]) ).
fof(f419,plain,
( ~ spl0_27
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f426,plain,
( e13 = j(e20)
| ~ spl0_16 ),
inference(superposition,[],[f116,f241]) ).
fof(f427,plain,
( spl0_29
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f426,f239,f293]) ).
fof(f429,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(superposition,[],[f116,f245]) ).
fof(f430,plain,
( e10 = e13
| ~ spl0_17
| ~ spl0_31 ),
inference(forward_demodulation,[],[f429,f304]) ).
fof(f431,plain,
( $false
| ~ spl0_17
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f430,f17]) ).
fof(f432,plain,
( ~ spl0_17
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f435,plain,
( e13 = j(e22)
| ~ spl0_18 ),
inference(superposition,[],[f116,f249]) ).
fof(f436,plain,
( e10 = e13
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_demodulation,[],[f435,f325]) ).
fof(f437,plain,
( $false
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f436,f17]) ).
fof(f438,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f442,plain,
( e13 = j(e23)
| ~ spl0_19 ),
inference(superposition,[],[f116,f253]) ).
fof(f443,plain,
( e10 = e13
| ~ spl0_19
| ~ spl0_41 ),
inference(forward_demodulation,[],[f442,f346]) ).
fof(f444,plain,
( $false
| ~ spl0_19
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f443,f17]) ).
fof(f445,plain,
( ~ spl0_19
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f450,plain,
( e13 = j(e24)
| ~ spl0_20 ),
inference(superposition,[],[f116,f257]) ).
fof(f451,plain,
( e10 = e13
| ~ spl0_20
| ~ spl0_46 ),
inference(forward_demodulation,[],[f450,f367]) ).
fof(f452,plain,
( $false
| ~ spl0_20
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f451,f17]) ).
fof(f453,plain,
( ~ spl0_20
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f459,plain,
( e13 = e14
| ~ spl0_29
| ~ spl0_30 ),
inference(superposition,[],[f295,f299]) ).
fof(f465,plain,
( $false
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f459,f10]) ).
fof(f466,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f465]) ).
fof(f467,plain,
( spl0_35
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f390,f264,f318]) ).
fof(f470,plain,
( e12 = e14
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_demodulation,[],[f320,f312]) ).
fof(f471,plain,
( $false
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f470,f11]) ).
fof(f472,plain,
( ~ spl0_33
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f476,plain,
( e14 = j(e21)
| ~ spl0_22 ),
inference(superposition,[],[f115,f266]) ).
fof(f479,plain,
( e12 = j(e20)
| ~ spl0_11 ),
inference(superposition,[],[f117,f220]) ).
fof(f480,plain,
( spl0_28
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f479,f218,f289]) ).
fof(f482,plain,
( e12 = j(e22)
| ~ spl0_13 ),
inference(superposition,[],[f117,f228]) ).
fof(f483,plain,
( e10 = e12
| ~ spl0_13
| ~ spl0_36 ),
inference(forward_demodulation,[],[f482,f325]) ).
fof(f484,plain,
( $false
| ~ spl0_13
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f483,f18]) ).
fof(f485,plain,
( ~ spl0_13
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f484]) ).
fof(f488,plain,
( e12 = j(e23)
| ~ spl0_14 ),
inference(superposition,[],[f117,f232]) ).
fof(f489,plain,
( e10 = e12
| ~ spl0_14
| ~ spl0_41 ),
inference(forward_demodulation,[],[f488,f346]) ).
fof(f490,plain,
( $false
| ~ spl0_14
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f489,f18]) ).
fof(f491,plain,
( ~ spl0_14
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f493,plain,
( e11 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f118,f199]) ).
fof(f497,plain,
( e11 = j(e24)
| ~ spl0_10 ),
inference(superposition,[],[f118,f215]) ).
fof(f498,plain,
( e10 = e11
| ~ spl0_10
| ~ spl0_46 ),
inference(forward_demodulation,[],[f497,f367]) ).
fof(f499,plain,
( $false
| ~ spl0_10
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f498,f19]) ).
fof(f500,plain,
( ~ spl0_10
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f502,plain,
( e10 = j(e21)
| ~ spl0_2 ),
inference(superposition,[],[f119,f182]) ).
fof(f506,plain,
( e10 = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f119,f178]) ).
fof(f509,plain,
( e10 = e13
| ~ spl0_26
| ~ spl0_29 ),
inference(superposition,[],[f283,f295]) ).
fof(f514,plain,
( $false
| ~ spl0_26
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f509,f17]) ).
fof(f515,plain,
( ~ spl0_26
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f519,plain,
( e10 = j(e23)
| ~ spl0_4 ),
inference(superposition,[],[f119,f190]) ).
fof(f525,plain,
( e10 = j(e24)
| ~ spl0_5 ),
inference(superposition,[],[f119,f194]) ).
fof(f530,plain,
( e11 = j(e23)
| ~ spl0_9 ),
inference(superposition,[],[f118,f211]) ).
fof(f531,plain,
( spl0_42
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f530,f209,f348]) ).
fof(f535,plain,
( e11 = j(e21)
| ~ spl0_7 ),
inference(superposition,[],[f118,f203]) ).
fof(f536,plain,
( spl0_32
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f535,f201,f306]) ).
fof(f541,plain,
( e11 = j(e22)
| ~ spl0_8 ),
inference(superposition,[],[f118,f207]) ).
fof(f542,plain,
( e10 = e11
| ~ spl0_8
| ~ spl0_36 ),
inference(forward_demodulation,[],[f541,f325]) ).
fof(f543,plain,
( $false
| ~ spl0_8
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f542,f19]) ).
fof(f544,plain,
( ~ spl0_8
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f543]) ).
fof(f553,plain,
( e24 = h(e10)
| ~ spl0_46 ),
inference(superposition,[],[f120,f367]) ).
fof(f554,plain,
( e23 = h(e12)
| ~ spl0_43 ),
inference(superposition,[],[f121,f354]) ).
fof(f555,plain,
( e22 = h(e11)
| ~ spl0_37 ),
inference(superposition,[],[f122,f329]) ).
fof(f556,plain,
( e21 = h(e14)
| ~ spl0_35 ),
inference(superposition,[],[f123,f320]) ).
fof(f557,plain,
( e20 = h(e13)
| ~ spl0_29 ),
inference(superposition,[],[f124,f295]) ).
fof(f558,plain,
( op1(e10,e10) = j(op2(e24,e24))
| ~ spl0_46 ),
inference(superposition,[],[f125,f367]) ).
fof(f559,plain,
( op1(e10,e10) = j(e21)
| ~ spl0_46 ),
inference(forward_demodulation,[],[f558,f80]) ).
fof(f560,plain,
( e14 = op1(e10,e10)
| ~ spl0_35
| ~ spl0_46 ),
inference(forward_demodulation,[],[f559,f320]) ).
fof(f561,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_46 ),
inference(forward_demodulation,[],[f560,f79]) ).
fof(f562,plain,
( $false
| ~ spl0_35
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f561,f16]) ).
fof(f563,plain,
( ~ spl0_35
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f564,plain,
( spl0_41
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f519,f188,f344]) ).
fof(f569,plain,
( e22 = e23
| ~ spl0_13
| ~ spl0_43 ),
inference(forward_demodulation,[],[f554,f228]) ).
fof(f573,plain,
( $false
| ~ spl0_13
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f569,f22]) ).
fof(f574,plain,
( ~ spl0_13
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f573]) ).
fof(f577,plain,
( e20 = e23
| ~ spl0_11
| ~ spl0_43 ),
inference(forward_demodulation,[],[f554,f220]) ).
fof(f578,plain,
( $false
| ~ spl0_11
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f577,f27]) ).
fof(f579,plain,
( ~ spl0_11
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f578]) ).
fof(f582,plain,
( spl0_14
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f554,f352,f230]) ).
fof(f587,plain,
( e12 = j(e24)
| ~ spl0_15 ),
inference(superposition,[],[f117,f236]) ).
fof(f588,plain,
( spl0_48
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f587,f234,f373]) ).
fof(f589,plain,
( e12 = e13
| ~ spl0_28
| ~ spl0_29 ),
inference(superposition,[],[f291,f295]) ).
fof(f590,plain,
( e20 = h(e12)
| ~ spl0_28 ),
inference(superposition,[],[f124,f291]) ).
fof(f595,plain,
( $false
| spl0_11
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f590,f219]) ).
fof(f596,plain,
( spl0_11
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f595]) ).
fof(f597,plain,
( $false
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f589,f12]) ).
fof(f598,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f602,plain,
( op1(e12,e12) = j(op2(e24,e24))
| ~ spl0_48 ),
inference(superposition,[],[f125,f375]) ).
fof(f603,plain,
( e24 = h(e12)
| ~ spl0_48 ),
inference(superposition,[],[f120,f375]) ).
fof(f604,plain,
( op1(e12,e12) = j(e21)
| ~ spl0_48 ),
inference(forward_demodulation,[],[f602,f80]) ).
fof(f605,plain,
( e14 = op1(e12,e12)
| ~ spl0_35
| ~ spl0_48 ),
inference(forward_demodulation,[],[f604,f320]) ).
fof(f606,plain,
( e13 = e14
| ~ spl0_35
| ~ spl0_48 ),
inference(forward_demodulation,[],[f605,f67]) ).
fof(f607,plain,
( $false
| ~ spl0_35
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f606,f10]) ).
fof(f608,plain,
( ~ spl0_35
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f614,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
fof(f615,plain,
( $false
| ~ spl0_12
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f614,f311]) ).
fof(f616,plain,
( ~ spl0_12
| spl0_33 ),
inference(avatar_contradiction_clause,[],[f615]) ).
fof(f618,plain,
( spl0_43
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f488,f230,f352]) ).
fof(f625,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f119,f186]) ).
fof(f631,plain,
( e21 = e22
| ~ spl0_7
| ~ spl0_37 ),
inference(forward_demodulation,[],[f555,f203]) ).
fof(f632,plain,
( $false
| ~ spl0_7
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f631,f25]) ).
fof(f633,plain,
( ~ spl0_7
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f634,plain,
( spl0_47
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f497,f213,f369]) ).
fof(f637,plain,
( spl0_8
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f555,f327,f205]) ).
fof(f646,plain,
( e21 = h(e11)
| ~ spl0_32 ),
inference(superposition,[],[f123,f308]) ).
fof(f652,plain,
( $false
| spl0_7
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f646,f202]) ).
fof(f653,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f652]) ).
fof(f657,plain,
( e22 = h(e10)
| ~ spl0_36 ),
inference(superposition,[],[f122,f325]) ).
fof(f660,plain,
( e12 = e13
| ~ spl0_43
| ~ spl0_44 ),
inference(superposition,[],[f358,f354]) ).
fof(f663,plain,
( e23 = h(e13)
| ~ spl0_44 ),
inference(superposition,[],[f121,f358]) ).
fof(f664,plain,
( $false
| spl0_19
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f663,f252]) ).
fof(f665,plain,
( spl0_19
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f668,plain,
( $false
| ~ spl0_43
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f660,f12]) ).
fof(f669,plain,
( ~ spl0_43
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f673,plain,
( e24 = h(e11)
| ~ spl0_47 ),
inference(superposition,[],[f120,f371]) ).
fof(f679,plain,
( op1(e13,e13) = j(op2(e24,e24))
| ~ spl0_49 ),
inference(superposition,[],[f125,f379]) ).
fof(f680,plain,
( e24 = h(e13)
| ~ spl0_49 ),
inference(superposition,[],[f120,f379]) ).
fof(f681,plain,
( e20 = e24
| ~ spl0_16
| ~ spl0_49 ),
inference(forward_demodulation,[],[f680,f241]) ).
fof(f682,plain,
( op1(e13,e13) = j(e21)
| ~ spl0_49 ),
inference(forward_demodulation,[],[f679,f80]) ).
fof(f687,plain,
( $false
| ~ spl0_16
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f681,f26]) ).
fof(f688,plain,
( ~ spl0_16
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f689,plain,
( e14 = op1(e13,e13)
| ~ spl0_35
| ~ spl0_49 ),
inference(forward_demodulation,[],[f682,f320]) ).
fof(f690,plain,
( e11 = e14
| ~ spl0_35
| ~ spl0_49 ),
inference(forward_demodulation,[],[f689,f61]) ).
fof(f691,plain,
( $false
| ~ spl0_35
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f690,f13]) ).
fof(f692,plain,
( ~ spl0_35
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f691]) ).
fof(f703,plain,
( j(op2(e24,e22)) = op1(e11,j(e22))
| ~ spl0_47 ),
inference(superposition,[],[f127,f371]) ).
fof(f706,plain,
( op1(e11,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f703,f325]) ).
fof(f708,plain,
( op1(e11,e10) = j(e20)
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f706,f82]) ).
fof(f710,plain,
( e13 = op1(e11,e10)
| ~ spl0_29
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f708,f295]) ).
fof(f712,plain,
( e11 = e13
| ~ spl0_29
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f710,f74]) ).
fof(f715,plain,
( $false
| ~ spl0_29
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f712,f14]) ).
fof(f716,plain,
( ~ spl0_29
| ~ spl0_36
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f730,plain,
( e11 = e12
| ~ spl0_42
| ~ spl0_43 ),
inference(superposition,[],[f350,f354]) ).
fof(f732,plain,
( e11 = e12
| ~ spl0_42
| ~ spl0_43 ),
inference(superposition,[],[f354,f350]) ).
fof(f734,plain,
( e23 = h(e11)
| ~ spl0_42 ),
inference(superposition,[],[f121,f350]) ).
fof(f735,plain,
( $false
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f732,f15]) ).
fof(f736,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f738,plain,
( $false
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f730,f15]) ).
fof(f739,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f742,plain,
( spl0_27
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f493,f197,f285]) ).
fof(f749,plain,
( e11 = e13
| ~ spl0_27
| ~ spl0_29 ),
inference(superposition,[],[f287,f295]) ).
fof(f754,plain,
( $false
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f749,f14]) ).
fof(f755,plain,
( ~ spl0_27
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f754]) ).
fof(f756,plain,
( spl0_38
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f482,f226,f331]) ).
fof(f759,plain,
( e10 = e11
| ~ spl0_41
| ~ spl0_42 ),
inference(forward_demodulation,[],[f350,f346]) ).
fof(f768,plain,
( $false
| ~ spl0_41
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f759,f19]) ).
fof(f769,plain,
( ~ spl0_41
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f768]) ).
fof(f770,plain,
( spl0_37
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f541,f205,f327]) ).
fof(f786,plain,
( j(op2(e24,e22)) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f127,f333]) ).
fof(f787,plain,
( e22 = h(e12)
| ~ spl0_38 ),
inference(superposition,[],[f122,f333]) ).
fof(f797,plain,
( op1(e11,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f786,f371]) ).
fof(f798,plain,
( op1(e11,e12) = j(e20)
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f797,f82]) ).
fof(f799,plain,
( e13 = op1(e11,e12)
| ~ spl0_29
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f798,f295]) ).
fof(f800,plain,
( e10 = e13
| ~ spl0_29
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f799,f72]) ).
fof(f801,plain,
( $false
| ~ spl0_29
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f800,f17]) ).
fof(f802,plain,
( ~ spl0_29
| ~ spl0_38
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f801]) ).
fof(f805,plain,
( e23 = e24
| ~ spl0_4
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f190]) ).
fof(f813,plain,
( $false
| ~ spl0_4
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f805,f20]) ).
fof(f814,plain,
( ~ spl0_4
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f813]) ).
fof(f829,plain,
( e12 = e13
| ~ spl0_18
| ~ spl0_38 ),
inference(forward_demodulation,[],[f435,f333]) ).
fof(f830,plain,
( e22 = e24
| ~ spl0_18
| ~ spl0_49 ),
inference(forward_demodulation,[],[f680,f249]) ).
fof(f835,plain,
( $false
| spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f557,f240]) ).
fof(f836,plain,
( spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f835]) ).
fof(f837,plain,
( $false
| ~ spl0_18
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f829,f12]) ).
fof(f838,plain,
( ~ spl0_18
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f837]) ).
fof(f839,plain,
( $false
| ~ spl0_18
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f830,f21]) ).
fof(f840,plain,
( ~ spl0_18
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f839]) ).
fof(f850,plain,
( $false
| spl0_13
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f787,f227]) ).
fof(f851,plain,
( spl0_13
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f850]) ).
fof(f861,plain,
( e12 = j(e24)
| ~ spl0_15 ),
inference(superposition,[],[f117,f236]) ).
fof(f868,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f873,plain,
( j(op2(e24,e22)) = op1(j(e24),e14)
| ~ spl0_40 ),
inference(superposition,[],[f127,f341]) ).
fof(f874,plain,
( e22 = h(e14)
| ~ spl0_40 ),
inference(superposition,[],[f122,f341]) ).
fof(f875,plain,
( op1(e12,e14) = j(op2(e24,e22))
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f873,f375]) ).
fof(f876,plain,
( op1(e12,e14) = j(e20)
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f875,f82]) ).
fof(f877,plain,
( e13 = op1(e12,e14)
| ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f876,f295]) ).
fof(f878,plain,
( e11 = e13
| ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f877,f65]) ).
fof(f879,plain,
( $false
| ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f878,f14]) ).
fof(f880,plain,
( ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f879]) ).
fof(f885,plain,
( e13 = e14
| ~ spl0_23
| ~ spl0_39 ),
inference(forward_demodulation,[],[f868,f337]) ).
fof(f888,plain,
( $false
| ~ spl0_23
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f885,f10]) ).
fof(f889,plain,
( ~ spl0_23
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f888]) ).
fof(f890,plain,
( e12 = e14
| ~ spl0_25
| ~ spl0_48 ),
inference(forward_demodulation,[],[f411,f375]) ).
fof(f891,plain,
( $false
| ~ spl0_25
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f890,f11]) ).
fof(f892,plain,
( ~ spl0_25
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f891]) ).
fof(f893,plain,
( spl0_31
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f502,f180,f302]) ).
fof(f895,plain,
( spl0_45
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f403,f272,f360]) ).
fof(f897,plain,
( e21 = e23
| ~ spl0_7
| ~ spl0_42 ),
inference(forward_demodulation,[],[f734,f203]) ).
fof(f901,plain,
( $false
| ~ spl0_7
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f897,f24]) ).
fof(f902,plain,
( ~ spl0_7
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f901]) ).
fof(f912,plain,
( e10 = e11
| ~ spl0_31
| ~ spl0_32 ),
inference(superposition,[],[f304,f308]) ).
fof(f914,plain,
( e21 = h(e10)
| ~ spl0_31 ),
inference(superposition,[],[f123,f304]) ).
fof(f918,plain,
( $false
| ~ spl0_31
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f912,f19]) ).
fof(f919,plain,
( ~ spl0_31
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f918]) ).
fof(f937,plain,
( $false
| spl0_23
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f874,f269]) ).
fof(f938,plain,
( spl0_23
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f937]) ).
fof(f973,plain,
( j(op2(e24,e23)) = op1(j(e24),e12)
| ~ spl0_43 ),
inference(superposition,[],[f126,f354]) ).
fof(f975,plain,
( op1(e11,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f973,f371]) ).
fof(f976,plain,
( op1(e11,e12) = j(e22)
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f975,f81]) ).
fof(f977,plain,
( e14 = op1(e11,e12)
| ~ spl0_40
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f976,f341]) ).
fof(f978,plain,
( e10 = e14
| ~ spl0_40
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f977,f72]) ).
fof(f979,plain,
( $false
| ~ spl0_40
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f978,f16]) ).
fof(f980,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f979]) ).
fof(f981,plain,
( e10 = e12
| ~ spl0_12
| ~ spl0_31 ),
inference(forward_demodulation,[],[f614,f304]) ).
fof(f986,plain,
( $false
| ~ spl0_12
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f981,f18]) ).
fof(f987,plain,
( ~ spl0_12
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f986]) ).
fof(f990,plain,
( spl0_33
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f614,f222,f310]) ).
fof(f1003,plain,
( j(op2(e24,e23)) = op1(j(e24),e10)
| ~ spl0_41 ),
inference(superposition,[],[f126,f346]) ).
fof(f1004,plain,
( e23 = h(e10)
| ~ spl0_41 ),
inference(superposition,[],[f121,f346]) ).
fof(f1005,plain,
( op1(e11,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1003,f371]) ).
fof(f1006,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1005,f81]) ).
fof(f1007,plain,
( e14 = op1(e11,e10)
| ~ spl0_40
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1006,f341]) ).
fof(f1008,plain,
( e11 = e14
| ~ spl0_40
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1007,f74]) ).
fof(f1009,plain,
( $false
| ~ spl0_40
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1008,f13]) ).
fof(f1010,plain,
( ~ spl0_40
| ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1009]) ).
fof(f1023,plain,
( spl0_46
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f525,f192,f365]) ).
fof(f1031,plain,
( $false
| spl0_4
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1004,f189]) ).
fof(f1032,plain,
( spl0_4
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1031]) ).
fof(f1050,plain,
( e11 = e12
| ~ spl0_32
| ~ spl0_33 ),
inference(superposition,[],[f308,f312]) ).
fof(f1057,plain,
( $false
| ~ spl0_32
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f1050,f15]) ).
fof(f1058,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1065,plain,
( j(op2(e24,e23)) = op1(j(e24),e11)
| ~ spl0_42 ),
inference(superposition,[],[f126,f350]) ).
fof(f1067,plain,
( op1(e10,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1065,f367]) ).
fof(f1068,plain,
( op1(e10,e11) = j(e22)
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1067,f81]) ).
fof(f1069,plain,
( e14 = op1(e10,e11)
| ~ spl0_40
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1068,f341]) ).
fof(f1070,plain,
( e11 = e14
| ~ spl0_40
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1069,f78]) ).
fof(f1071,plain,
( $false
| ~ spl0_40
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1070,f13]) ).
fof(f1072,plain,
( ~ spl0_40
| ~ spl0_42
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1071]) ).
fof(f1079,plain,
( e11 = e14
| ~ spl0_37
| ~ spl0_40 ),
inference(superposition,[],[f329,f341]) ).
fof(f1083,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f1085,plain,
( op1(e10,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1083,f367]) ).
fof(f1088,plain,
( $false
| ~ spl0_37
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1079,f13]) ).
fof(f1089,plain,
( ~ spl0_37
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1088]) ).
fof(f1090,plain,
( op1(e10,e11) = j(e20)
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1085,f82]) ).
fof(f1091,plain,
( e13 = op1(e10,e11)
| ~ spl0_29
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1090,f295]) ).
fof(f1092,plain,
( e11 = e13
| ~ spl0_29
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1091,f78]) ).
fof(f1093,plain,
( $false
| ~ spl0_29
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1092,f14]) ).
fof(f1094,plain,
( ~ spl0_29
| ~ spl0_37
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1093]) ).
fof(f1096,plain,
( e12 = e13
| ~ spl0_17
| ~ spl0_33 ),
inference(forward_demodulation,[],[f429,f312]) ).
fof(f1107,plain,
( $false
| ~ spl0_17
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f1096,f12]) ).
fof(f1108,plain,
( ~ spl0_17
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f1107]) ).
fof(f1109,plain,
( $false
| ~ spl0_18
| spl0_39 ),
inference(forward_subsumption_resolution,[],[f435,f336]) ).
fof(f1110,plain,
( ~ spl0_18
| spl0_39 ),
inference(avatar_contradiction_clause,[],[f1109]) ).
fof(f1112,plain,
( spl0_44
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f442,f251,f356]) ).
fof(f1121,plain,
( j(op2(e24,e23)) = op1(j(e24),e13)
| ~ spl0_44 ),
inference(superposition,[],[f126,f358]) ).
fof(f1123,plain,
( op1(e10,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1121,f367]) ).
fof(f1124,plain,
( op1(e10,e13) = j(e22)
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1123,f81]) ).
fof(f1125,plain,
( e14 = op1(e10,e13)
| ~ spl0_40
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1124,f341]) ).
fof(f1126,plain,
( e13 = e14
| ~ spl0_40
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1125,f76]) ).
fof(f1127,plain,
( $false
| ~ spl0_40
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1126,f10]) ).
fof(f1128,plain,
( ~ spl0_40
| ~ spl0_44
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1127]) ).
fof(f1155,plain,
( j(op2(e24,e23)) = op1(j(e24),e12)
| ~ spl0_43 ),
inference(superposition,[],[f126,f354]) ).
fof(f1157,plain,
( op1(e10,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1155,f367]) ).
fof(f1158,plain,
( op1(e10,e12) = j(e22)
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1157,f81]) ).
fof(f1159,plain,
( e14 = op1(e10,e12)
| ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1158,f341]) ).
fof(f1160,plain,
( e12 = e14
| ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1159,f77]) ).
fof(f1161,plain,
( $false
| ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1160,f11]) ).
fof(f1162,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1161]) ).
fof(f1164,plain,
( e11 = e13
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_demodulation,[],[f429,f308]) ).
fof(f1173,plain,
( $false
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1164,f14]) ).
fof(f1174,plain,
( ~ spl0_17
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1173]) ).
fof(f1183,plain,
( e12 = j(e20)
| ~ spl0_11 ),
inference(superposition,[],[f117,f220]) ).
fof(f1188,plain,
( e11 = e12
| ~ spl0_27
| ~ spl0_28 ),
inference(superposition,[],[f291,f287]) ).
fof(f1193,plain,
( $false
| ~ spl0_27
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1188,f15]) ).
fof(f1194,plain,
( ~ spl0_27
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1193]) ).
fof(f1196,plain,
( e10 = e12
| ~ spl0_15
| ~ spl0_46 ),
inference(forward_demodulation,[],[f861,f367]) ).
fof(f1206,plain,
( $false
| ~ spl0_15
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1196,f18]) ).
fof(f1207,plain,
( ~ spl0_15
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1206]) ).
fof(f1210,plain,
( spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f506,f176,f281]) ).
fof(f1225,plain,
( e10 = e11
| ~ spl0_26
| ~ spl0_27 ),
inference(superposition,[],[f283,f287]) ).
fof(f1230,plain,
( $false
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1225,f19]) ).
fof(f1231,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1230]) ).
fof(f1233,plain,
( spl0_49
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f450,f255,f377]) ).
fof(f1259,plain,
( e21 = h(e13)
| ~ spl0_34 ),
inference(superposition,[],[f123,f316]) ).
fof(f1260,plain,
( $false
| spl0_17
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1259,f244]) ).
fof(f1261,plain,
( spl0_17
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1260]) ).
fof(f1267,plain,
( j(op2(e24,e23)) = op1(j(e24),e10)
| ~ spl0_41 ),
inference(superposition,[],[f126,f346]) ).
fof(f1268,plain,
( e23 = h(e10)
| ~ spl0_41 ),
inference(superposition,[],[f121,f346]) ).
fof(f1275,plain,
( e23 = h(e14)
| ~ spl0_45 ),
inference(superposition,[],[f121,f362]) ).
fof(f1293,plain,
( e24 = h(e13)
| ~ spl0_49 ),
inference(superposition,[],[f120,f379]) ).
fof(f1294,plain,
( op1(e13,e13) = j(op2(e24,e24))
| ~ spl0_49 ),
inference(superposition,[],[f125,f379]) ).
fof(f1295,plain,
( j(op2(e24,e23)) = op1(e13,j(e23))
| ~ spl0_49 ),
inference(superposition,[],[f126,f379]) ).
fof(f1300,plain,
( op1(e13,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1295,f346]) ).
fof(f1301,plain,
( op1(e13,e13) = j(e21)
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1294,f80]) ).
fof(f1303,plain,
( op1(e13,e10) = j(e22)
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1300,f81]) ).
fof(f1304,plain,
( e12 = op1(e13,e13)
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1301,f312]) ).
fof(f1306,plain,
( e14 = op1(e13,e10)
| ~ spl0_40
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1303,f341]) ).
fof(f1307,plain,
( e11 = e12
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1304,f61]) ).
fof(f1309,plain,
( e13 = e14
| ~ spl0_40
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1306,f64]) ).
fof(f1310,plain,
( $false
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1307,f15]) ).
fof(f1311,plain,
( ~ spl0_33
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1310]) ).
fof(f1314,plain,
( $false
| ~ spl0_40
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1309,f10]) ).
fof(f1315,plain,
( ~ spl0_40
| ~ spl0_41
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1314]) ).
fof(f1316,plain,
( spl0_39
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f435,f247,f335]) ).
fof(f1328,plain,
( e13 = j(e22)
| ~ spl0_18 ),
inference(superposition,[],[f116,f249]) ).
fof(f1335,plain,
( e22 = h(e13)
| ~ spl0_39 ),
inference(superposition,[],[f122,f337]) ).
fof(f1342,plain,
( e20 = e24
| ~ spl0_6
| ~ spl0_47 ),
inference(forward_demodulation,[],[f673,f199]) ).
fof(f1344,plain,
( op1(e11,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1267,f371]) ).
fof(f1350,plain,
( $false
| ~ spl0_6
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1342,f26]) ).
fof(f1351,plain,
( ~ spl0_6
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1350]) ).
fof(f1352,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1344,f81]) ).
fof(f1358,plain,
( e13 = op1(e11,e10)
| ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1352,f337]) ).
fof(f1360,plain,
( e11 = e13
| ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1358,f74]) ).
fof(f1361,plain,
( $false
| ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1360,f14]) ).
fof(f1362,plain,
( ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1361]) ).
fof(f1384,plain,
( j(op2(e24,e23)) = op1(j(e24),e14)
| ~ spl0_45 ),
inference(superposition,[],[f126,f362]) ).
fof(f1390,plain,
( op1(e10,e10) = j(op2(e24,e24))
| ~ spl0_46 ),
inference(superposition,[],[f125,f367]) ).
fof(f1395,plain,
( op1(e10,e10) = j(e21)
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1390,f80]) ).
fof(f1398,plain,
( e12 = op1(e10,e10)
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1395,f312]) ).
fof(f1401,plain,
( e10 = e12
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1398,f79]) ).
fof(f1402,plain,
( $false
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1401,f18]) ).
fof(f1403,plain,
( ~ spl0_33
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1402]) ).
fof(f1406,plain,
( e23 = e24
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_demodulation,[],[f603,f232]) ).
fof(f1411,plain,
( op1(e12,e14) = j(op2(e24,e23))
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1384,f375]) ).
fof(f1414,plain,
( $false
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1406,f20]) ).
fof(f1415,plain,
( ~ spl0_14
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1414]) ).
fof(f1417,plain,
( op1(e12,e14) = j(e22)
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1411,f81]) ).
fof(f1419,plain,
( e13 = op1(e12,e14)
| ~ spl0_39
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1417,f337]) ).
fof(f1420,plain,
( e11 = e13
| ~ spl0_39
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1419,f65]) ).
fof(f1421,plain,
( $false
| ~ spl0_39
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1420,f14]) ).
fof(f1422,plain,
( ~ spl0_39
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1421]) ).
fof(f1462,plain,
( e20 = h(e10)
| ~ spl0_26 ),
inference(superposition,[],[f124,f283]) ).
fof(f1467,plain,
( j(op2(e24,e23)) = op1(j(e24),e12)
| ~ spl0_43 ),
inference(superposition,[],[f126,f354]) ).
fof(f1469,plain,
( op1(e14,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1467,f383]) ).
fof(f1470,plain,
( op1(e14,e12) = j(e22)
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1469,f81]) ).
fof(f1471,plain,
( e13 = op1(e14,e12)
| ~ spl0_39
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1470,f337]) ).
fof(f1472,plain,
( e11 = e13
| ~ spl0_39
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1471,f57]) ).
fof(f1473,plain,
( $false
| ~ spl0_39
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1472,f14]) ).
fof(f1474,plain,
( ~ spl0_39
| ~ spl0_43
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1473]) ).
fof(f1475,plain,
( spl0_36
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f625,f184,f323]) ).
fof(f1496,plain,
( j(op2(e24,e22)) = op1(j(e24),e10)
| ~ spl0_36 ),
inference(superposition,[],[f127,f325]) ).
fof(f1497,plain,
( e22 = h(e10)
| ~ spl0_36 ),
inference(superposition,[],[f122,f325]) ).
fof(f1501,plain,
( e24 = h(e14)
| ~ spl0_50 ),
inference(superposition,[],[f120,f383]) ).
fof(f1502,plain,
( op1(e14,e14) = j(op2(e24,e24))
| ~ spl0_50 ),
inference(superposition,[],[f125,f383]) ).
fof(f1509,plain,
( op1(e14,e14) = j(e21)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1502,f80]) ).
fof(f1523,plain,
( j(op2(e24,e20)) = op1(e14,j(e20))
| ~ spl0_50 ),
inference(superposition,[],[f129,f383]) ).
fof(f1526,plain,
( op1(e14,e13) = j(op2(e24,e20))
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1523,f295]) ).
fof(f1528,plain,
( op1(e14,e13) = j(e24)
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1526,f84]) ).
fof(f1530,plain,
( e14 = op1(e14,e13)
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1528,f383]) ).
fof(f1532,plain,
( e10 = e14
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1530,f56]) ).
fof(f1535,plain,
( $false
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1532,f16]) ).
fof(f1536,plain,
( ~ spl0_29
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1535]) ).
fof(f1538,plain,
( spl0_34
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f429,f243,f314]) ).
fof(f1541,plain,
( e13 = op1(e14,e14)
| ~ spl0_34
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1509,f316]) ).
fof(f1547,plain,
( op1(e14,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1523,f287]) ).
fof(f1554,plain,
( e12 = e13
| ~ spl0_34
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1541,f55]) ).
fof(f1556,plain,
( op1(e14,e11) = j(e24)
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1547,f84]) ).
fof(f1557,plain,
( $false
| ~ spl0_34
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1554,f12]) ).
fof(f1558,plain,
( ~ spl0_34
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1557]) ).
fof(f1560,plain,
( e14 = op1(e14,e11)
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1556,f383]) ).
fof(f1562,plain,
( e13 = e14
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1560,f58]) ).
fof(f1565,plain,
( $false
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1562,f10]) ).
fof(f1566,plain,
( ~ spl0_27
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1565]) ).
fof(f1571,plain,
( op1(e12,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1496,f375]) ).
fof(f1574,plain,
( op1(e12,e10) = j(e20)
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1571,f82]) ).
fof(f1581,plain,
( e12 = j(e24)
| ~ spl0_15 ),
inference(superposition,[],[f117,f236]) ).
fof(f1588,plain,
( j(op2(e24,e20)) = op1(j(e24),e11)
| ~ spl0_27 ),
inference(superposition,[],[f129,f287]) ).
fof(f1590,plain,
( e20 = h(e11)
| ~ spl0_27 ),
inference(superposition,[],[f124,f287]) ).
fof(f1591,plain,
( op1(e12,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1588,f375]) ).
fof(f1592,plain,
( op1(e12,e11) = j(e24)
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1591,f84]) ).
fof(f1593,plain,
( e12 = op1(e12,e11)
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1592,f375]) ).
fof(f1594,plain,
( e10 = e12
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1593,f68]) ).
fof(f1595,plain,
( $false
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1594,f18]) ).
fof(f1596,plain,
( ~ spl0_27
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1595]) ).
fof(f1602,plain,
( e13 = op1(e12,e10)
| ~ spl0_29
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1574,f295]) ).
fof(f1609,plain,
( e12 = e13
| ~ spl0_29
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1602,f69]) ).
fof(f1610,plain,
( $false
| ~ spl0_29
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1609,f12]) ).
fof(f1611,plain,
( ~ spl0_29
| ~ spl0_36
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1610]) ).
fof(f1616,plain,
( e21 = e24
| ~ spl0_17
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1293,f245]) ).
fof(f1631,plain,
( $false
| ~ spl0_17
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1616,f23]) ).
fof(f1632,plain,
( ~ spl0_17
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1631]) ).
fof(f1637,plain,
( op1(e11,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1496,f371]) ).
fof(f1643,plain,
( op1(e11,e10) = j(e20)
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1637,f82]) ).
fof(f1644,plain,
( e14 = op1(e11,e10)
| ~ spl0_30
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1643,f299]) ).
fof(f1645,plain,
( e11 = e14
| ~ spl0_30
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1644,f74]) ).
fof(f1646,plain,
( $false
| ~ spl0_30
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1645,f13]) ).
fof(f1647,plain,
( ~ spl0_30
| ~ spl0_36
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1646]) ).
fof(f1650,plain,
( $false
| spl0_1
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1462,f177]) ).
fof(f1651,plain,
( spl0_1
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1650]) ).
fof(f1662,plain,
( $false
| spl0_6
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1590,f198]) ).
fof(f1663,plain,
( spl0_6
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1662]) ).
fof(f1685,plain,
( e20 = e22
| ~ spl0_1
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1497,f178]) ).
fof(f1688,plain,
( $false
| ~ spl0_1
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1685,f28]) ).
fof(f1689,plain,
( ~ spl0_1
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1688]) ).
fof(f1691,plain,
( e21 = e22
| ~ spl0_17
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1335,f245]) ).
fof(f1697,plain,
( $false
| ~ spl0_17
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1691,f25]) ).
fof(f1698,plain,
( ~ spl0_17
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1697]) ).
fof(f1700,plain,
( e10 = e12
| ~ spl0_11
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1183,f283]) ).
fof(f1702,plain,
( spl0_40
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f396,f268,f339]) ).
fof(f1705,plain,
( spl0_9
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f734,f348,f209]) ).
fof(f1715,plain,
( $false
| ~ spl0_11
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1700,f18]) ).
fof(f1716,plain,
( ~ spl0_11
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1715]) ).
fof(f1756,plain,
( e13 = e14
| ~ spl0_22
| ~ spl0_34 ),
inference(forward_demodulation,[],[f476,f316]) ).
fof(f1761,plain,
( e20 = e23
| ~ spl0_1
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1268,f178]) ).
fof(f1771,plain,
( $false
| ~ spl0_22
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1756,f10]) ).
fof(f1772,plain,
( ~ spl0_22
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1771]) ).
fof(f1779,plain,
( $false
| ~ spl0_1
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1761,f27]) ).
fof(f1780,plain,
( ~ spl0_1
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1779]) ).
fof(f1797,plain,
( e20 = h(e14)
| ~ spl0_30 ),
inference(superposition,[],[f124,f299]) ).
fof(f1802,plain,
( j(op2(e24,e22)) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f127,f333]) ).
fof(f1804,plain,
( op1(e11,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1802,f371]) ).
fof(f1805,plain,
( op1(e11,e12) = j(e20)
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1804,f82]) ).
fof(f1806,plain,
( e14 = op1(e11,e12)
| ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1805,f299]) ).
fof(f1807,plain,
( e10 = e14
| ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1806,f72]) ).
fof(f1808,plain,
( $false
| ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1807,f16]) ).
fof(f1809,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1808]) ).
fof(f1812,plain,
( spl0_22
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f556,f318,f264]) ).
fof(f1813,plain,
( e13 = e14
| ~ spl0_44
| ~ spl0_45 ),
inference(forward_demodulation,[],[f362,f358]) ).
fof(f1824,plain,
( $false
| ~ spl0_44
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1813,f10]) ).
fof(f1825,plain,
( ~ spl0_44
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f1824]) ).
fof(f1860,plain,
( e24 = h(e11)
| ~ spl0_47 ),
inference(superposition,[],[f120,f371]) ).
fof(f1864,plain,
( j(op2(e24,e21)) = op1(e11,j(e21))
| ~ spl0_47 ),
inference(superposition,[],[f128,f371]) ).
fof(f1865,plain,
( j(op2(e24,e20)) = op1(e11,j(e20))
| ~ spl0_47 ),
inference(superposition,[],[f129,f371]) ).
fof(f1883,plain,
( j(op2(e23,e24)) = op1(j(e23),e11)
| ~ spl0_47 ),
inference(superposition,[],[f130,f371]) ).
fof(f1890,plain,
( op1(e13,e13) = j(op2(e23,e23))
| ~ spl0_44 ),
inference(superposition,[],[f131,f358]) ).
fof(f1891,plain,
( op1(e13,e13) = j(e21)
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1890,f86]) ).
fof(f1892,plain,
( e14 = op1(e13,e13)
| ~ spl0_35
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1891,f320]) ).
fof(f1893,plain,
( e11 = e14
| ~ spl0_35
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1892,f61]) ).
fof(f1894,plain,
( $false
| ~ spl0_35
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1893,f13]) ).
fof(f1895,plain,
( ~ spl0_35
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1894]) ).
fof(f1898,plain,
( e12 = e14
| ~ spl0_28
| ~ spl0_30 ),
inference(forward_demodulation,[],[f299,f291]) ).
fof(f1908,plain,
( op1(e11,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1864,f304]) ).
fof(f1913,plain,
( op1(e11,e12) = j(op2(e24,e20))
| ~ spl0_28
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1865,f291]) ).
fof(f1919,plain,
( $false
| ~ spl0_28
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1898,f11]) ).
fof(f1920,plain,
( ~ spl0_28
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1919]) ).
fof(f1922,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1908,f83]) ).
fof(f1923,plain,
( op1(e11,e12) = j(e24)
| ~ spl0_28
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1913,f84]) ).
fof(f1926,plain,
( e11 = op1(e11,e12)
| ~ spl0_28
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1923,f371]) ).
fof(f1929,plain,
( e10 = e11
| ~ spl0_28
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1926,f72]) ).
fof(f1934,plain,
( $false
| ~ spl0_28
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1929,f19]) ).
fof(f1935,plain,
( ~ spl0_28
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1934]) ).
fof(f1939,plain,
( e12 = e14
| ~ spl0_43
| ~ spl0_45 ),
inference(forward_demodulation,[],[f362,f354]) ).
fof(f1942,plain,
( e12 = op1(e11,e10)
| ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1922,f354]) ).
fof(f1952,plain,
( $false
| ~ spl0_43
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1939,f11]) ).
fof(f1953,plain,
( ~ spl0_43
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f1952]) ).
fof(f1956,plain,
( e11 = e12
| ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1942,f74]) ).
fof(f1961,plain,
( $false
| ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1956,f15]) ).
fof(f1962,plain,
( ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1961]) ).
fof(f1974,plain,
( e11 = e12
| ~ spl0_15
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1581,f371]) ).
fof(f1999,plain,
( $false
| ~ spl0_15
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1974,f15]) ).
fof(f2000,plain,
( ~ spl0_15
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1999]) ).
fof(f2014,plain,
( e11 = e13
| ~ spl0_18
| ~ spl0_37 ),
inference(forward_demodulation,[],[f1328,f329]) ).
fof(f2023,plain,
( op1(e11,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1864,f312]) ).
fof(f2025,plain,
( $false
| spl0_21
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1797,f261]) ).
fof(f2026,plain,
( spl0_21
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f2025]) ).
fof(f2034,plain,
( $false
| ~ spl0_18
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f2014,f14]) ).
fof(f2035,plain,
( ~ spl0_18
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f2034]) ).
fof(f2040,plain,
( op1(e11,e12) = j(e23)
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2023,f83]) ).
fof(f2043,plain,
( e14 = op1(e11,e12)
| ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2040,f362]) ).
fof(f2044,plain,
( e10 = e14
| ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2043,f72]) ).
fof(f2045,plain,
( $false
| ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2044,f16]) ).
fof(f2046,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2045]) ).
fof(f2053,plain,
( op1(e12,e11) = j(op2(e23,e24))
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1883,f354]) ).
fof(f2064,plain,
( op1(e12,e11) = j(e22)
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2053,f85]) ).
fof(f2069,plain,
( e13 = op1(e12,e11)
| ~ spl0_39
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2064,f337]) ).
fof(f2074,plain,
( e10 = e13
| ~ spl0_39
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2069,f68]) ).
fof(f2077,plain,
( $false
| ~ spl0_39
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2074,f17]) ).
fof(f2078,plain,
( ~ spl0_39
| ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2077]) ).
fof(f2110,plain,
( op1(e13,e11) = j(op2(e23,e24))
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1883,f358]) ).
fof(f2113,plain,
( op1(e13,e11) = j(e22)
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2110,f85]) ).
fof(f2116,plain,
( e14 = op1(e13,e11)
| ~ spl0_40
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2113,f341]) ).
fof(f2120,plain,
( e12 = e14
| ~ spl0_40
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2116,f63]) ).
fof(f2123,plain,
( $false
| ~ spl0_40
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2120,f11]) ).
fof(f2124,plain,
( ~ spl0_40
| ~ spl0_44
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2123]) ).
fof(f2157,plain,
( e23 = e24
| ~ spl0_9
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1860,f211]) ).
fof(f2161,plain,
( $false
| ~ spl0_9
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2157,f20]) ).
fof(f2162,plain,
( ~ spl0_9
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2161]) ).
fof(f2163,plain,
( $false
| spl0_2
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f914,f181]) ).
fof(f2164,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f2163]) ).
fof(f2171,plain,
( e20 = e21
| ~ spl0_1
| ~ spl0_31 ),
inference(forward_demodulation,[],[f914,f178]) ).
fof(f2174,plain,
( $false
| ~ spl0_1
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f2171,f29]) ).
fof(f2175,plain,
( ~ spl0_1
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f2174]) ).
fof(f2258,plain,
( e24 = h(e13)
| ~ spl0_49 ),
inference(superposition,[],[f120,f379]) ).
fof(f2260,plain,
( j(op2(e24,e23)) = op1(e13,j(e23))
| ~ spl0_49 ),
inference(superposition,[],[f126,f379]) ).
fof(f2261,plain,
( j(op2(e24,e22)) = op1(e13,j(e22))
| ~ spl0_49 ),
inference(superposition,[],[f127,f379]) ).
fof(f2270,plain,
( op1(e13,e14) = j(op2(e24,e22))
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2261,f341]) ).
fof(f2276,plain,
( op1(e13,e14) = j(e20)
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2270,f82]) ).
fof(f2284,plain,
( j(op2(e23,e22)) = op1(e12,j(e22))
| ~ spl0_43 ),
inference(superposition,[],[f132,f354]) ).
fof(f2285,plain,
( j(op2(e23,e22)) = op1(j(e23),e14)
| ~ spl0_40 ),
inference(superposition,[],[f132,f341]) ).
fof(f2287,plain,
( op1(e12,e14) = j(op2(e23,e22))
| ~ spl0_40
| ~ spl0_43 ),
inference(forward_demodulation,[],[f2284,f341]) ).
fof(f2289,plain,
( op1(e12,e14) = j(e24)
| ~ spl0_40
| ~ spl0_43 ),
inference(forward_demodulation,[],[f2287,f87]) ).
fof(f2291,plain,
( e13 = op1(e12,e14)
| ~ spl0_40
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2289,f379]) ).
fof(f2293,plain,
( e11 = e13
| ~ spl0_40
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2291,f65]) ).
fof(f2296,plain,
( $false
| ~ spl0_40
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2293,f14]) ).
fof(f2297,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2296]) ).
fof(f2304,plain,
( op1(e13,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2260,f350]) ).
fof(f2314,plain,
( e12 = op1(e13,e14)
| ~ spl0_28
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2276,f291]) ).
fof(f2319,plain,
( op1(e13,e11) = j(e22)
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2304,f81]) ).
fof(f2324,plain,
( e10 = e12
| ~ spl0_28
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2314,f60]) ).
fof(f2326,plain,
( e14 = op1(e13,e11)
| ~ spl0_40
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2319,f341]) ).
fof(f2332,plain,
( $false
| ~ spl0_28
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2324,f18]) ).
fof(f2333,plain,
( ~ spl0_28
| ~ spl0_40
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2332]) ).
fof(f2335,plain,
( e12 = e14
| ~ spl0_40
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2326,f63]) ).
fof(f2338,plain,
( $false
| ~ spl0_40
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2335,f11]) ).
fof(f2339,plain,
( ~ spl0_40
| ~ spl0_42
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2338]) ).
fof(f2382,plain,
( e23 = h(e11)
| ~ spl0_42 ),
inference(superposition,[],[f121,f350]) ).
fof(f2383,plain,
( j(op2(e24,e23)) = op1(j(e24),e11)
| ~ spl0_42 ),
inference(superposition,[],[f126,f350]) ).
fof(f2391,plain,
( op1(e12,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2383,f375]) ).
fof(f2395,plain,
( op1(e12,e11) = j(e22)
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2391,f81]) ).
fof(f2398,plain,
( e14 = op1(e12,e11)
| ~ spl0_40
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2395,f341]) ).
fof(f2400,plain,
( e10 = e14
| ~ spl0_40
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2398,f68]) ).
fof(f2403,plain,
( $false
| ~ spl0_40
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2400,f16]) ).
fof(f2404,plain,
( ~ spl0_40
| ~ spl0_42
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2403]) ).
fof(f2409,plain,
( op1(e13,e14) = j(op2(e23,e22))
| ~ spl0_40
| ~ spl0_44 ),
inference(forward_demodulation,[],[f2285,f358]) ).
fof(f2414,plain,
( op1(e13,e14) = j(e24)
| ~ spl0_40
| ~ spl0_44 ),
inference(forward_demodulation,[],[f2409,f87]) ).
fof(f2415,plain,
( e12 = op1(e13,e14)
| ~ spl0_40
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2414,f375]) ).
fof(f2416,plain,
( e10 = e12
| ~ spl0_40
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2415,f60]) ).
fof(f2417,plain,
( $false
| ~ spl0_40
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2416,f18]) ).
fof(f2418,plain,
( ~ spl0_40
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2417]) ).
fof(f2420,plain,
( e22 = e24
| ~ spl0_23
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1501,f270]) ).
fof(f2426,plain,
( $false
| ~ spl0_23
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2420,f21]) ).
fof(f2427,plain,
( ~ spl0_23
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2426]) ).
fof(f2437,plain,
( e23 = e24
| ~ spl0_19
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2258,f253]) ).
fof(f2441,plain,
( e13 = op1(e13,e14)
| ~ spl0_40
| ~ spl0_44
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2414,f379]) ).
fof(f2446,plain,
( $false
| ~ spl0_19
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2437,f20]) ).
fof(f2447,plain,
( ~ spl0_19
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2446]) ).
fof(f2450,plain,
( e10 = e13
| ~ spl0_40
| ~ spl0_44
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2441,f60]) ).
fof(f2453,plain,
( $false
| ~ spl0_40
| ~ spl0_44
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2450,f17]) ).
fof(f2454,plain,
( ~ spl0_40
| ~ spl0_44
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2453]) ).
fof(f2455,plain,
( spl0_50
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f411,f276,f381]) ).
fof(f2476,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f2481,plain,
( e22 = h(e12)
| ~ spl0_38 ),
inference(superposition,[],[f122,f333]) ).
fof(f2494,plain,
( j(op2(e24,e23)) = op1(j(e24),e13)
| ~ spl0_44 ),
inference(superposition,[],[f126,f358]) ).
fof(f2496,plain,
( op1(e13,e13) = j(op2(e23,e23))
| ~ spl0_44 ),
inference(superposition,[],[f131,f358]) ).
fof(f2497,plain,
( j(op2(e23,e22)) = op1(e13,j(e22))
| ~ spl0_44 ),
inference(superposition,[],[f132,f358]) ).
fof(f2501,plain,
( op1(e13,e13) = j(e21)
| ~ spl0_44 ),
inference(forward_demodulation,[],[f2496,f86]) ).
fof(f2503,plain,
( op1(e14,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2494,f383]) ).
fof(f2507,plain,
( op1(e14,e13) = j(e22)
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2503,f81]) ).
fof(f2510,plain,
( e12 = op1(e14,e13)
| ~ spl0_38
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2507,f333]) ).
fof(f2512,plain,
( e10 = e12
| ~ spl0_38
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2510,f56]) ).
fof(f2515,plain,
( $false
| ~ spl0_38
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2512,f18]) ).
fof(f2516,plain,
( ~ spl0_38
| ~ spl0_44
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2515]) ).
fof(f2520,plain,
( op1(e13,e10) = j(op2(e23,e22))
| ~ spl0_36
| ~ spl0_44 ),
inference(forward_demodulation,[],[f2497,f325]) ).
fof(f2528,plain,
( op1(e13,e10) = j(e24)
| ~ spl0_36
| ~ spl0_44 ),
inference(forward_demodulation,[],[f2520,f87]) ).
fof(f2529,plain,
( e14 = op1(e13,e10)
| ~ spl0_36
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2528,f383]) ).
fof(f2530,plain,
( e13 = e14
| ~ spl0_36
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2529,f64]) ).
fof(f2531,plain,
( $false
| ~ spl0_36
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2530,f10]) ).
fof(f2532,plain,
( ~ spl0_36
| ~ spl0_44
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2531]) ).
fof(f2535,plain,
( op1(e12,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2476,f375]) ).
fof(f2543,plain,
( op1(e12,e11) = j(e23)
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2535,f83]) ).
fof(f2546,plain,
( e13 = op1(e12,e11)
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2543,f358]) ).
fof(f2549,plain,
( e10 = e13
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2546,f68]) ).
fof(f2550,plain,
( $false
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2549,f17]) ).
fof(f2551,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2550]) ).
fof(f2583,plain,
( j(op2(e24,e20)) = op1(j(e24),e14)
| ~ spl0_30 ),
inference(superposition,[],[f129,f299]) ).
fof(f2585,plain,
( op1(e12,e14) = j(op2(e24,e20))
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2583,f375]) ).
fof(f2586,plain,
( op1(e12,e14) = j(e24)
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2585,f84]) ).
fof(f2587,plain,
( e12 = op1(e12,e14)
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2586,f375]) ).
fof(f2588,plain,
( e11 = e12
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2587,f65]) ).
fof(f2589,plain,
( $false
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2588,f15]) ).
fof(f2590,plain,
( ~ spl0_30
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2589]) ).
fof(f2595,plain,
( op1(e14,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2494,f383]) ).
fof(f2600,plain,
( e12 = op1(e13,e13)
| ~ spl0_33
| ~ spl0_44 ),
inference(forward_demodulation,[],[f2501,f312]) ).
fof(f2607,plain,
( op1(e14,e13) = j(e22)
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2595,f81]) ).
fof(f2609,plain,
( e11 = e12
| ~ spl0_33
| ~ spl0_44 ),
inference(forward_demodulation,[],[f2600,f61]) ).
fof(f2611,plain,
( e11 = op1(e14,e13)
| ~ spl0_37
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2607,f329]) ).
fof(f2614,plain,
( $false
| ~ spl0_33
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f2609,f15]) ).
fof(f2615,plain,
( ~ spl0_33
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f2614]) ).
fof(f2617,plain,
( e10 = e11
| ~ spl0_37
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2611,f56]) ).
fof(f2620,plain,
( $false
| ~ spl0_37
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2617,f19]) ).
fof(f2621,plain,
( ~ spl0_37
| ~ spl0_44
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2620]) ).
fof(f2657,plain,
( e20 = e24
| ~ spl0_21
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1501,f262]) ).
fof(f2659,plain,
( $false
| ~ spl0_21
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2657,f26]) ).
fof(f2660,plain,
( ~ spl0_21
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2659]) ).
fof(f2666,plain,
( e21 = e23
| ~ spl0_2
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1268,f182]) ).
fof(f2680,plain,
( $false
| ~ spl0_2
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2666,f24]) ).
fof(f2681,plain,
( ~ spl0_2
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f2680]) ).
fof(f2683,plain,
( spl0_24
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f1275,f360,f272]) ).
fof(f2703,plain,
( e23 = e24
| ~ spl0_24
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1501,f274]) ).
fof(f2704,plain,
( $false
| ~ spl0_24
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2703,f20]) ).
fof(f2705,plain,
( ~ spl0_24
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2704]) ).
fof(f2707,plain,
( e22 = e23
| ~ spl0_8
| ~ spl0_42 ),
inference(forward_demodulation,[],[f734,f207]) ).
fof(f2715,plain,
( $false
| ~ spl0_8
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f2707,f22]) ).
fof(f2716,plain,
( ~ spl0_8
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f2715]) ).
fof(f2725,plain,
( $false
| spl0_18
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1335,f248]) ).
fof(f2726,plain,
( spl0_18
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f2725]) ).
fof(f2741,plain,
( e20 = e22
| ~ spl0_11
| ~ spl0_38 ),
inference(forward_demodulation,[],[f2481,f220]) ).
fof(f2750,plain,
( $false
| ~ spl0_11
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f2741,f28]) ).
fof(f2751,plain,
( ~ spl0_11
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f2750]) ).
fof(f2753,plain,
( spl0_3
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f657,f323,f184]) ).
fof(f2761,plain,
( e22 = e23
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f190,f186]) ).
fof(f2769,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f2761,f22]) ).
fof(f2770,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f2769]) ).
fof(f2781,plain,
( e21 = e22
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f182,f186]) ).
fof(f2788,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f2781,f25]) ).
fof(f2789,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f2788]) ).
fof(f2812,plain,
( j(op2(e24,e20)) = op1(j(e24),e14)
| ~ spl0_30 ),
inference(superposition,[],[f129,f299]) ).
fof(f2814,plain,
( op1(e13,e14) = j(op2(e24,e20))
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2812,f379]) ).
fof(f2815,plain,
( op1(e13,e14) = j(e24)
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2814,f84]) ).
fof(f2816,plain,
( e13 = op1(e13,e14)
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2815,f379]) ).
fof(f2817,plain,
( e10 = e13
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2816,f60]) ).
fof(f2818,plain,
( $false
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2817,f17]) ).
fof(f2819,plain,
( ~ spl0_30
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2818]) ).
fof(f2845,plain,
( j(op2(e24,e22)) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f127,f333]) ).
fof(f2850,plain,
( op1(e10,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2845,f367]) ).
fof(f2852,plain,
( op1(e10,e12) = j(e20)
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2850,f82]) ).
fof(f2854,plain,
( e14 = op1(e10,e12)
| ~ spl0_30
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2852,f299]) ).
fof(f2855,plain,
( e12 = e14
| ~ spl0_30
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2854,f77]) ).
fof(f2856,plain,
( $false
| ~ spl0_30
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2855,f11]) ).
fof(f2857,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2856]) ).
fof(f2880,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f2882,plain,
( op1(e10,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2880,f367]) ).
fof(f2883,plain,
( op1(e10,e11) = j(e23)
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2882,f83]) ).
fof(f2884,plain,
( e12 = op1(e10,e11)
| ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2883,f354]) ).
fof(f2885,plain,
( e11 = e12
| ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2884,f78]) ).
fof(f2886,plain,
( $false
| ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2885,f15]) ).
fof(f2887,plain,
( ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2886]) ).
fof(f2896,plain,
( e20 = e23
| ~ spl0_6
| ~ spl0_42 ),
inference(forward_demodulation,[],[f2382,f199]) ).
fof(f2898,plain,
( e11 = e14
| ~ spl0_42
| ~ spl0_45 ),
inference(forward_demodulation,[],[f362,f350]) ).
fof(f2914,plain,
( $false
| ~ spl0_6
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f2896,f27]) ).
fof(f2915,plain,
( ~ spl0_6
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f2914]) ).
fof(f2916,plain,
( $false
| ~ spl0_42
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f2898,f13]) ).
fof(f2917,plain,
( ~ spl0_42
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f2916]) ).
fof(f2980,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f2984,plain,
( op1(e10,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2980,f367]) ).
fof(f2986,plain,
( op1(e10,e11) = j(e20)
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2984,f82]) ).
fof(f2988,plain,
( e14 = op1(e10,e11)
| ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2986,f299]) ).
fof(f2989,plain,
( e11 = e14
| ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2988,f78]) ).
fof(f2990,plain,
( $false
| ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2989,f13]) ).
fof(f2991,plain,
( ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2990]) ).
fof(f3042,plain,
( j(op2(e24,e22)) = op1(j(e24),e13)
| ~ spl0_39 ),
inference(superposition,[],[f127,f337]) ).
fof(f3043,plain,
( j(op2(e23,e22)) = op1(j(e23),e13)
| ~ spl0_39 ),
inference(superposition,[],[f132,f337]) ).
fof(f3046,plain,
( op1(e11,e13) = j(op2(e23,e22))
| ~ spl0_39
| ~ spl0_42 ),
inference(forward_demodulation,[],[f3043,f350]) ).
fof(f3047,plain,
( op1(e14,e13) = j(op2(e24,e22))
| ~ spl0_39
| ~ spl0_50 ),
inference(forward_demodulation,[],[f3042,f383]) ).
fof(f3048,plain,
( op1(e11,e13) = j(e24)
| ~ spl0_39
| ~ spl0_42 ),
inference(forward_demodulation,[],[f3046,f87]) ).
fof(f3049,plain,
( op1(e14,e13) = j(e20)
| ~ spl0_39
| ~ spl0_50 ),
inference(forward_demodulation,[],[f3047,f82]) ).
fof(f3050,plain,
( e14 = op1(e11,e13)
| ~ spl0_39
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_demodulation,[],[f3048,f383]) ).
fof(f3052,plain,
( e12 = e14
| ~ spl0_39
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_demodulation,[],[f3050,f71]) ).
fof(f3053,plain,
( $false
| ~ spl0_39
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f3052,f11]) ).
fof(f3054,plain,
( ~ spl0_39
| ~ spl0_42
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f3053]) ).
fof(f3062,plain,
( op1(e10,e13) = j(op2(e23,e22))
| ~ spl0_39
| ~ spl0_41 ),
inference(forward_demodulation,[],[f3043,f346]) ).
fof(f3066,plain,
( e12 = op1(e14,e13)
| ~ spl0_28
| ~ spl0_39
| ~ spl0_50 ),
inference(forward_demodulation,[],[f3049,f291]) ).
fof(f3072,plain,
( op1(e10,e13) = j(e24)
| ~ spl0_39
| ~ spl0_41 ),
inference(forward_demodulation,[],[f3062,f87]) ).
fof(f3073,plain,
( e10 = e12
| ~ spl0_28
| ~ spl0_39
| ~ spl0_50 ),
inference(forward_demodulation,[],[f3066,f56]) ).
fof(f3074,plain,
( e14 = op1(e10,e13)
| ~ spl0_39
| ~ spl0_41
| ~ spl0_50 ),
inference(forward_demodulation,[],[f3072,f383]) ).
fof(f3075,plain,
( $false
| ~ spl0_28
| ~ spl0_39
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f3073,f18]) ).
fof(f3076,plain,
( ~ spl0_28
| ~ spl0_39
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f3075]) ).
fof(f3077,plain,
( e13 = e14
| ~ spl0_39
| ~ spl0_41
| ~ spl0_50 ),
inference(forward_demodulation,[],[f3074,f76]) ).
fof(f3078,plain,
( $false
| ~ spl0_39
| ~ spl0_41
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f3077,f10]) ).
fof(f3079,plain,
( ~ spl0_39
| ~ spl0_41
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f3078]) ).
fof(f3115,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f3117,plain,
( op1(e10,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3115,f367]) ).
fof(f3118,plain,
( op1(e10,e11) = j(e23)
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3117,f83]) ).
fof(f3119,plain,
( e14 = op1(e10,e11)
| ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3118,f362]) ).
fof(f3120,plain,
( e11 = e14
| ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3119,f78]) ).
fof(f3121,plain,
( $false
| ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f3120,f13]) ).
fof(f3122,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f3121]) ).
fof(f3153,plain,
( j(op2(e24,e20)) = op1(j(e24),e11)
| ~ spl0_27 ),
inference(superposition,[],[f129,f287]) ).
fof(f3156,plain,
( op1(e13,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f3153,f379]) ).
fof(f3157,plain,
( op1(e13,e11) = j(e24)
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f3156,f84]) ).
fof(f3158,plain,
( e13 = op1(e13,e11)
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f3157,f379]) ).
fof(f3159,plain,
( e12 = e13
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f3158,f63]) ).
fof(f3160,plain,
( $false
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f3159,f12]) ).
fof(f3161,plain,
( ~ spl0_27
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f3160]) ).
fof(f3185,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f3187,plain,
( op1(e13,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_49 ),
inference(forward_demodulation,[],[f3185,f379]) ).
fof(f3188,plain,
( op1(e13,e11) = j(e23)
| ~ spl0_32
| ~ spl0_49 ),
inference(forward_demodulation,[],[f3187,f83]) ).
fof(f3189,plain,
( e14 = op1(e13,e11)
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f3188,f362]) ).
fof(f3190,plain,
( e12 = e14
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f3189,f63]) ).
fof(f3191,plain,
( $false
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f3190,f11]) ).
fof(f3192,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f3191]) ).
fof(f3224,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f3226,plain,
( op1(e13,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_49 ),
inference(forward_demodulation,[],[f3224,f379]) ).
fof(f3227,plain,
( op1(e13,e10) = j(e23)
| ~ spl0_31
| ~ spl0_49 ),
inference(forward_demodulation,[],[f3226,f83]) ).
fof(f3228,plain,
( e14 = op1(e13,e10)
| ~ spl0_31
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f3227,f362]) ).
fof(f3229,plain,
( e13 = e14
| ~ spl0_31
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f3228,f64]) ).
fof(f3230,plain,
( $false
| ~ spl0_31
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f3229,f10]) ).
fof(f3231,plain,
( ~ spl0_31
| ~ spl0_45
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f3230]) ).
fof(f3268,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f3272,plain,
( op1(e12,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3268,f375]) ).
fof(f3274,plain,
( op1(e12,e11) = j(e20)
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3272,f82]) ).
fof(f3280,plain,
( op1(e14,e14) = j(op2(e23,e23))
| ~ spl0_45 ),
inference(superposition,[],[f131,f362]) ).
fof(f3284,plain,
( op1(e14,e14) = j(e21)
| ~ spl0_45 ),
inference(forward_demodulation,[],[f3280,f86]) ).
fof(f3288,plain,
( e13 = op1(e14,e14)
| ~ spl0_34
| ~ spl0_45 ),
inference(forward_demodulation,[],[f3284,f316]) ).
fof(f3292,plain,
( e12 = e13
| ~ spl0_34
| ~ spl0_45 ),
inference(forward_demodulation,[],[f3288,f55]) ).
fof(f3295,plain,
( $false
| ~ spl0_34
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f3292,f12]) ).
fof(f3296,plain,
( ~ spl0_34
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f3295]) ).
fof(f3306,plain,
( e13 = op1(e12,e11)
| ~ spl0_29
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3274,f295]) ).
fof(f3310,plain,
( e10 = e13
| ~ spl0_29
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3306,f68]) ).
fof(f3311,plain,
( $false
| ~ spl0_29
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3310,f17]) ).
fof(f3312,plain,
( ~ spl0_29
| ~ spl0_37
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3311]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f195]) ).
cnf(s2,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f216]) ).
cnf(s3,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f237]) ).
cnf(s4,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f258]) ).
cnf(s5,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f279]) ).
cnf(s6,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f300]) ).
cnf(s7,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f321]) ).
cnf(s8,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(sat_conversion,[],[f342]) ).
cnf(s9,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f363]) ).
cnf(s10,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(sat_conversion,[],[f384]) ).
cnf(s11,plain,
( ~ spl0_21
| ~ spl0_26 ),
inference(sat_conversion,[],[f388]) ).
cnf(s12,plain,
( ~ spl0_22
| ~ spl0_31 ),
inference(sat_conversion,[],[f393]) ).
cnf(s13,plain,
( ~ spl0_23
| ~ spl0_36 ),
inference(sat_conversion,[],[f399]) ).
cnf(s14,plain,
( ~ spl0_24
| ~ spl0_41 ),
inference(sat_conversion,[],[f406]) ).
cnf(s15,plain,
( ~ spl0_25
| ~ spl0_46 ),
inference(sat_conversion,[],[f414]) ).
cnf(s16,plain,
( ~ spl0_21
| spl0_30 ),
inference(sat_conversion,[],[f415]) ).
cnf(s17,plain,
( ~ spl0_27
| ~ spl0_30 ),
inference(sat_conversion,[],[f419]) ).
cnf(s18,plain,
( ~ spl0_16
| spl0_29 ),
inference(sat_conversion,[],[f427]) ).
cnf(s19,plain,
( ~ spl0_17
| ~ spl0_31 ),
inference(sat_conversion,[],[f432]) ).
cnf(s20,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(sat_conversion,[],[f438]) ).
cnf(s21,plain,
( ~ spl0_19
| ~ spl0_41 ),
inference(sat_conversion,[],[f445]) ).
cnf(s22,plain,
( ~ spl0_20
| ~ spl0_46 ),
inference(sat_conversion,[],[f453]) ).
cnf(s25,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(sat_conversion,[],[f466]) ).
cnf(s26,plain,
( ~ spl0_22
| spl0_35 ),
inference(sat_conversion,[],[f467]) ).
cnf(s27,plain,
( ~ spl0_33
| ~ spl0_35 ),
inference(sat_conversion,[],[f472]) ).
cnf(s28,plain,
( ~ spl0_11
| spl0_28 ),
inference(sat_conversion,[],[f480]) ).
cnf(s29,plain,
( ~ spl0_13
| ~ spl0_36 ),
inference(sat_conversion,[],[f485]) ).
cnf(s30,plain,
( ~ spl0_14
| ~ spl0_41 ),
inference(sat_conversion,[],[f491]) ).
cnf(s32,plain,
( ~ spl0_10
| ~ spl0_46 ),
inference(sat_conversion,[],[f500]) ).
cnf(s36,plain,
( ~ spl0_26
| ~ spl0_29 ),
inference(sat_conversion,[],[f515]) ).
cnf(s39,plain,
( ~ spl0_9
| spl0_42 ),
inference(sat_conversion,[],[f531]) ).
cnf(s40,plain,
( ~ spl0_7
| spl0_32 ),
inference(sat_conversion,[],[f536]) ).
cnf(s41,plain,
( ~ spl0_8
| ~ spl0_36 ),
inference(sat_conversion,[],[f544]) ).
cnf(s44,plain,
( ~ spl0_35
| ~ spl0_46 ),
inference(sat_conversion,[],[f563]) ).
cnf(s45,plain,
( ~ spl0_4
| spl0_41 ),
inference(sat_conversion,[],[f564]) ).
cnf(s47,plain,
( ~ spl0_13
| ~ spl0_43 ),
inference(sat_conversion,[],[f574]) ).
cnf(s49,plain,
( ~ spl0_11
| ~ spl0_43 ),
inference(sat_conversion,[],[f579]) ).
cnf(s50,plain,
( spl0_14
| ~ spl0_43 ),
inference(sat_conversion,[],[f582]) ).
cnf(s51,plain,
( ~ spl0_15
| spl0_48 ),
inference(sat_conversion,[],[f588]) ).
cnf(s53,plain,
( spl0_11
| ~ spl0_28 ),
inference(sat_conversion,[],[f596]) ).
cnf(s54,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f598]) ).
cnf(s55,plain,
( ~ spl0_35
| ~ spl0_48 ),
inference(sat_conversion,[],[f608]) ).
cnf(s56,plain,
( ~ spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f616]) ).
cnf(s57,plain,
( ~ spl0_14
| spl0_43 ),
inference(sat_conversion,[],[f618]) ).
cnf(s60,plain,
( ~ spl0_7
| ~ spl0_37 ),
inference(sat_conversion,[],[f633]) ).
cnf(s61,plain,
( ~ spl0_10
| spl0_47 ),
inference(sat_conversion,[],[f634]) ).
cnf(s62,plain,
( spl0_8
| ~ spl0_37 ),
inference(sat_conversion,[],[f637]) ).
cnf(s64,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f653]) ).
cnf(s66,plain,
( spl0_19
| ~ spl0_44 ),
inference(sat_conversion,[],[f665]) ).
cnf(s68,plain,
( ~ spl0_43
| ~ spl0_44 ),
inference(sat_conversion,[],[f669]) ).
cnf(s71,plain,
( ~ spl0_16
| ~ spl0_49 ),
inference(sat_conversion,[],[f688]) ).
cnf(s72,plain,
( ~ spl0_35
| ~ spl0_49 ),
inference(sat_conversion,[],[f692]) ).
cnf(s74,plain,
( ~ spl0_29
| ~ spl0_36
| ~ spl0_47 ),
inference(sat_conversion,[],[f716]) ).
cnf(s76,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(sat_conversion,[],[f736]) ).
cnf(s77,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(sat_conversion,[],[f739]) ).
cnf(s78,plain,
( ~ spl0_6
| spl0_27 ),
inference(sat_conversion,[],[f742]) ).
cnf(s80,plain,
( ~ spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f755]) ).
cnf(s85,plain,
( ~ spl0_13
| spl0_38 ),
inference(sat_conversion,[],[f756]) ).
cnf(s86,plain,
( ~ spl0_41
| ~ spl0_42 ),
inference(sat_conversion,[],[f769]) ).
cnf(s87,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f770]) ).
cnf(s91,plain,
( ~ spl0_29
| ~ spl0_38
| ~ spl0_47 ),
inference(sat_conversion,[],[f802]) ).
cnf(s93,plain,
( ~ spl0_4
| ~ spl0_46 ),
inference(sat_conversion,[],[f814]) ).
cnf(s96,plain,
( spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f836]) ).
cnf(s97,plain,
( ~ spl0_18
| ~ spl0_38 ),
inference(sat_conversion,[],[f838]) ).
cnf(s98,plain,
( ~ spl0_18
| ~ spl0_49 ),
inference(sat_conversion,[],[f840]) ).
cnf(s100,plain,
( spl0_13
| ~ spl0_38 ),
inference(sat_conversion,[],[f851]) ).
cnf(s101,plain,
( ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(sat_conversion,[],[f880]) ).
cnf(s103,plain,
( ~ spl0_23
| ~ spl0_39 ),
inference(sat_conversion,[],[f889]) ).
cnf(s104,plain,
( ~ spl0_25
| ~ spl0_48 ),
inference(sat_conversion,[],[f892]) ).
cnf(s105,plain,
( ~ spl0_2
| spl0_31 ),
inference(sat_conversion,[],[f893]) ).
cnf(s106,plain,
( ~ spl0_24
| spl0_45 ),
inference(sat_conversion,[],[f895]) ).
cnf(s107,plain,
( ~ spl0_7
| ~ spl0_42 ),
inference(sat_conversion,[],[f902]) ).
cnf(s109,plain,
( ~ spl0_31
| ~ spl0_32 ),
inference(sat_conversion,[],[f919]) ).
cnf(s118,plain,
( spl0_23
| ~ spl0_40 ),
inference(sat_conversion,[],[f938]) ).
cnf(s121,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f980]) ).
cnf(s122,plain,
( ~ spl0_12
| ~ spl0_31 ),
inference(sat_conversion,[],[f987]) ).
cnf(s127,plain,
( ~ spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f990]) ).
cnf(s128,plain,
( ~ spl0_40
| ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f1010]) ).
cnf(s132,plain,
( ~ spl0_5
| spl0_46 ),
inference(sat_conversion,[],[f1023]) ).
cnf(s134,plain,
( spl0_4
| ~ spl0_41 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s137,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(sat_conversion,[],[f1058]) ).
cnf(s141,plain,
( ~ spl0_40
| ~ spl0_42
| ~ spl0_46 ),
inference(sat_conversion,[],[f1072]) ).
cnf(s144,plain,
( ~ spl0_37
| ~ spl0_40 ),
inference(sat_conversion,[],[f1089]) ).
cnf(s145,plain,
( ~ spl0_29
| ~ spl0_37
| ~ spl0_46 ),
inference(sat_conversion,[],[f1094]) ).
cnf(s148,plain,
( ~ spl0_17
| ~ spl0_33 ),
inference(sat_conversion,[],[f1108]) ).
cnf(s149,plain,
( ~ spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f1110]) ).
cnf(s150,plain,
( ~ spl0_19
| spl0_44 ),
inference(sat_conversion,[],[f1112]) ).
cnf(s151,plain,
( ~ spl0_40
| ~ spl0_44
| ~ spl0_46 ),
inference(sat_conversion,[],[f1128]) ).
cnf(s161,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(sat_conversion,[],[f1162]) ).
cnf(s163,plain,
( ~ spl0_17
| ~ spl0_32 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s168,plain,
( ~ spl0_27
| ~ spl0_28 ),
inference(sat_conversion,[],[f1194]) ).
cnf(s170,plain,
( ~ spl0_15
| ~ spl0_46 ),
inference(sat_conversion,[],[f1207]) ).
cnf(s172,plain,
( ~ spl0_1
| spl0_26 ),
inference(sat_conversion,[],[f1210]) ).
cnf(s178,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f1231]) ).
cnf(s185,plain,
( ~ spl0_20
| spl0_49 ),
inference(sat_conversion,[],[f1233]) ).
cnf(s186,plain,
( spl0_17
| ~ spl0_34 ),
inference(sat_conversion,[],[f1261]) ).
cnf(s193,plain,
( ~ spl0_33
| ~ spl0_49 ),
inference(sat_conversion,[],[f1311]) ).
cnf(s195,plain,
( ~ spl0_40
| ~ spl0_41
| ~ spl0_49 ),
inference(sat_conversion,[],[f1315]) ).
cnf(s196,plain,
( ~ spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f1316]) ).
cnf(s198,plain,
( ~ spl0_6
| ~ spl0_47 ),
inference(sat_conversion,[],[f1351]) ).
cnf(s201,plain,
( ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f1362]) ).
cnf(s206,plain,
( ~ spl0_33
| ~ spl0_46 ),
inference(sat_conversion,[],[f1403]) ).
cnf(s214,plain,
( ~ spl0_14
| ~ spl0_48 ),
inference(sat_conversion,[],[f1415]) ).
cnf(s215,plain,
( ~ spl0_39
| ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f1422]) ).
cnf(s223,plain,
( ~ spl0_39
| ~ spl0_43
| ~ spl0_50 ),
inference(sat_conversion,[],[f1474]) ).
cnf(s224,plain,
( ~ spl0_3
| spl0_36 ),
inference(sat_conversion,[],[f1475]) ).
cnf(s230,plain,
( ~ spl0_29
| ~ spl0_50 ),
inference(sat_conversion,[],[f1536]) ).
cnf(s235,plain,
( ~ spl0_17
| spl0_34 ),
inference(sat_conversion,[],[f1538]) ).
cnf(s237,plain,
( ~ spl0_34
| ~ spl0_50 ),
inference(sat_conversion,[],[f1558]) ).
cnf(s239,plain,
( ~ spl0_27
| ~ spl0_50 ),
inference(sat_conversion,[],[f1566]) ).
cnf(s245,plain,
( ~ spl0_27
| ~ spl0_48 ),
inference(sat_conversion,[],[f1596]) ).
cnf(s256,plain,
( ~ spl0_29
| ~ spl0_36
| ~ spl0_48 ),
inference(sat_conversion,[],[f1611]) ).
cnf(s272,plain,
( ~ spl0_17
| ~ spl0_49 ),
inference(sat_conversion,[],[f1632]) ).
cnf(s277,plain,
( ~ spl0_30
| ~ spl0_36
| ~ spl0_47 ),
inference(sat_conversion,[],[f1647]) ).
cnf(s279,plain,
( spl0_1
| ~ spl0_26 ),
inference(sat_conversion,[],[f1651]) ).
cnf(s283,plain,
( spl0_6
| ~ spl0_27 ),
inference(sat_conversion,[],[f1663]) ).
cnf(s290,plain,
( ~ spl0_1
| ~ spl0_36 ),
inference(sat_conversion,[],[f1689]) ).
cnf(s292,plain,
( ~ spl0_17
| ~ spl0_39 ),
inference(sat_conversion,[],[f1698]) ).
cnf(s293,plain,
( ~ spl0_23
| spl0_40 ),
inference(sat_conversion,[],[f1702]) ).
cnf(s296,plain,
( spl0_9
| ~ spl0_42 ),
inference(sat_conversion,[],[f1705]) ).
cnf(s299,plain,
( ~ spl0_11
| ~ spl0_26 ),
inference(sat_conversion,[],[f1716]) ).
cnf(s315,plain,
( ~ spl0_22
| ~ spl0_34 ),
inference(sat_conversion,[],[f1772]) ).
cnf(s319,plain,
( ~ spl0_1
| ~ spl0_41 ),
inference(sat_conversion,[],[f1780]) ).
cnf(s322,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(sat_conversion,[],[f1809]) ).
cnf(s334,plain,
( spl0_22
| ~ spl0_35 ),
inference(sat_conversion,[],[f1812]) ).
cnf(s335,plain,
( ~ spl0_44
| ~ spl0_45 ),
inference(sat_conversion,[],[f1825]) ).
cnf(s336,plain,
( ~ spl0_35
| ~ spl0_44 ),
inference(sat_conversion,[],[f1895]) ).
cnf(s346,plain,
( ~ spl0_28
| ~ spl0_30 ),
inference(sat_conversion,[],[f1920]) ).
cnf(s349,plain,
( ~ spl0_28
| ~ spl0_47 ),
inference(sat_conversion,[],[f1935]) ).
cnf(s366,plain,
( ~ spl0_43
| ~ spl0_45 ),
inference(sat_conversion,[],[f1953]) ).
cnf(s367,plain,
( ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f1962]) ).
cnf(s386,plain,
( ~ spl0_15
| ~ spl0_47 ),
inference(sat_conversion,[],[f2000]) ).
cnf(s401,plain,
( spl0_21
| ~ spl0_30 ),
inference(sat_conversion,[],[f2026]) ).
cnf(s403,plain,
( ~ spl0_18
| ~ spl0_37 ),
inference(sat_conversion,[],[f2035]) ).
cnf(s405,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(sat_conversion,[],[f2046]) ).
cnf(s418,plain,
( ~ spl0_39
| ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f2078]) ).
cnf(s436,plain,
( ~ spl0_40
| ~ spl0_44
| ~ spl0_47 ),
inference(sat_conversion,[],[f2124]) ).
cnf(s451,plain,
( ~ spl0_9
| ~ spl0_47 ),
inference(sat_conversion,[],[f2162]) ).
cnf(s454,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f2164]) ).
cnf(s456,plain,
( ~ spl0_1
| ~ spl0_31 ),
inference(sat_conversion,[],[f2175]) ).
cnf(s480,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_49 ),
inference(sat_conversion,[],[f2297]) ).
cnf(s492,plain,
( ~ spl0_28
| ~ spl0_40
| ~ spl0_49 ),
inference(sat_conversion,[],[f2333]) ).
cnf(s494,plain,
( ~ spl0_40
| ~ spl0_42
| ~ spl0_49 ),
inference(sat_conversion,[],[f2339]) ).
cnf(s510,plain,
( ~ spl0_40
| ~ spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f2404]) ).
cnf(s520,plain,
( ~ spl0_40
| ~ spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f2418]) ).
cnf(s525,plain,
( ~ spl0_23
| ~ spl0_50 ),
inference(sat_conversion,[],[f2427]) ).
cnf(s529,plain,
( ~ spl0_19
| ~ spl0_49 ),
inference(sat_conversion,[],[f2447]) ).
cnf(s530,plain,
( ~ spl0_40
| ~ spl0_44
| ~ spl0_49 ),
inference(sat_conversion,[],[f2454]) ).
cnf(s531,plain,
( ~ spl0_25
| spl0_50 ),
inference(sat_conversion,[],[f2455]) ).
cnf(s535,plain,
( ~ spl0_38
| ~ spl0_44
| ~ spl0_50 ),
inference(sat_conversion,[],[f2516]) ).
cnf(s540,plain,
( ~ spl0_36
| ~ spl0_44
| ~ spl0_50 ),
inference(sat_conversion,[],[f2532]) ).
cnf(s549,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f2551]) ).
cnf(s555,plain,
( ~ spl0_30
| ~ spl0_48 ),
inference(sat_conversion,[],[f2590]) ).
cnf(s572,plain,
( ~ spl0_33
| ~ spl0_44 ),
inference(sat_conversion,[],[f2615]) ).
cnf(s574,plain,
( ~ spl0_37
| ~ spl0_44
| ~ spl0_50 ),
inference(sat_conversion,[],[f2621]) ).
cnf(s596,plain,
( ~ spl0_21
| ~ spl0_50 ),
inference(sat_conversion,[],[f2660]) ).
cnf(s608,plain,
( ~ spl0_2
| ~ spl0_41 ),
inference(sat_conversion,[],[f2681]) ).
cnf(s609,plain,
( spl0_24
| ~ spl0_45 ),
inference(sat_conversion,[],[f2683]) ).
cnf(s613,plain,
( ~ spl0_24
| ~ spl0_50 ),
inference(sat_conversion,[],[f2705]) ).
cnf(s621,plain,
( ~ spl0_8
| ~ spl0_42 ),
inference(sat_conversion,[],[f2716]) ).
cnf(s638,plain,
( spl0_18
| ~ spl0_39 ),
inference(sat_conversion,[],[f2726]) ).
cnf(s647,plain,
( ~ spl0_11
| ~ spl0_38 ),
inference(sat_conversion,[],[f2751]) ).
cnf(s648,plain,
( spl0_3
| ~ spl0_36 ),
inference(sat_conversion,[],[f2753]) ).
cnf(s651,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f2770]) ).
cnf(s664,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f2789]) ).
cnf(s676,plain,
( ~ spl0_30
| ~ spl0_49 ),
inference(sat_conversion,[],[f2819]) ).
cnf(s685,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_46 ),
inference(sat_conversion,[],[f2857]) ).
cnf(s703,plain,
( ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(sat_conversion,[],[f2887]) ).
cnf(s737,plain,
( ~ spl0_6
| ~ spl0_42 ),
inference(sat_conversion,[],[f2915]) ).
cnf(s738,plain,
( ~ spl0_42
| ~ spl0_45 ),
inference(sat_conversion,[],[f2917]) ).
cnf(s759,plain,
( ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(sat_conversion,[],[f2991]) ).
cnf(s787,plain,
( ~ spl0_39
| ~ spl0_42
| ~ spl0_50 ),
inference(sat_conversion,[],[f3054]) ).
cnf(s806,plain,
( ~ spl0_28
| ~ spl0_39
| ~ spl0_50 ),
inference(sat_conversion,[],[f3076]) ).
cnf(s807,plain,
( ~ spl0_39
| ~ spl0_41
| ~ spl0_50 ),
inference(sat_conversion,[],[f3079]) ).
cnf(s819,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(sat_conversion,[],[f3122]) ).
cnf(s843,plain,
( ~ spl0_27
| ~ spl0_49 ),
inference(sat_conversion,[],[f3161]) ).
cnf(s862,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(sat_conversion,[],[f3192]) ).
cnf(s878,plain,
( ~ spl0_31
| ~ spl0_45
| ~ spl0_49 ),
inference(sat_conversion,[],[f3231]) ).
cnf(s901,plain,
( ~ spl0_34
| ~ spl0_45 ),
inference(sat_conversion,[],[f3296]) ).
cnf(s915,plain,
( ~ spl0_29
| ~ spl0_37
| ~ spl0_48 ),
inference(sat_conversion,[],[f3312]) ).
cnf(s916,plain,
( spl0_8
| spl0_39
| spl0_24
| spl0_7
| spl0_6
| ~ spl0_46
| spl0_36 ),
inference(rat,[],[s16,s685,s5,s8,s293,s141,s39,s2,s62,s32,s15,s26,s44]) ).
cnf(s917,plain,
( spl0_7
| spl0_6
| ~ spl0_46
| spl0_36
| spl0_31 ),
inference(rat,[],[s5,s293,s16,s144,s759,s87,s916,s292,s106,s186,s901,s7,s64,s206,s15,s26,s44]) ).
cnf(s918,plain,
( ~ spl0_7
| ~ spl0_46
| spl0_41 ),
inference(rat,[],[s3,s28,s85,s346,s685,s16,s5,s293,s151,s9,s57,s106,s703,s819,s40,s107,s170,s15,s127,s206,s26,s44]) ).
cnf(s919,plain,
( spl0_4
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s9,s151,s161,s293,s5,s16,s106,s17,s901,s78,s737,s7,s917,s64,s918,s26,s15,s44,s206,s132,s1,s134,s454,s648]) ).
cnf(s920,plain,
( ~ spl0_21
| ~ spl0_4 ),
inference(rat,[],[s56,s148,s3,s4,s85,s196,s322,s201,s18,s28,s51,s10,s185,s25,s346,s555,s676,s16,s596,s93,s30,s21,s45]) ).
cnf(s921,plain,
( ~ spl0_50
| spl0_35
| spl0_32
| ~ spl0_41
| spl0_31 ),
inference(rat,[],[s185,s4,s193,s196,s18,s7,s235,s807,s230,s237,s21]) ).
cnf(s922,plain,
( ~ spl0_40
| spl0_7
| spl0_6
| ~ spl0_41 ),
inference(rat,[],[s2,s61,s87,s128,s144,s39,s86]) ).
cnf(s923,plain,
( spl0_22
| spl0_23
| spl0_32
| ~ spl0_4
| spl0_31 ),
inference(rat,[],[s531,s921,s5,s334,s14,s45,s920]) ).
cnf(s924,plain,
( ~ spl0_29
| ~ spl0_35
| ~ spl0_4 ),
inference(rat,[],[s85,s3,s91,s28,s10,s54,s230,s93,s30,s45,s72,s51,s55,s127,s27]) ).
cnf(s925,plain,
( ~ spl0_22
| spl0_27
| ~ spl0_4
| spl0_26 ),
inference(rat,[],[s807,s10,s196,s349,s4,s6,s18,s924,s185,s55,s72,s235,s26,s315,s93,s21,s45,s401,s920]) ).
cnf(s926,plain,
( spl0_23
| spl0_27
| ~ spl0_4
| spl0_36
| spl0_31
| spl0_26 ),
inference(rat,[],[s53,s647,s6,s8,s807,s230,s60,s531,s64,s5,s923,s118,s14,s45,s401,s920,s925]) ).
cnf(s927,plain,
( spl0_6
| ~ spl0_4
| spl0_36
| spl0_31
| spl0_26 ),
inference(rat,[],[s4,s18,s163,s101,s40,s10,s185,s196,s922,s128,s195,s103,s293,s525,s926,s283,s93,s21,s45]) ).
cnf(s928,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s10,s239,s245,s843,s78,s198,s927,s93,s919,s648,s279,s454]) ).
cnf(s929,plain,
( ~ spl0_22
| ~ spl0_36 ),
inference(rat,[],[s10,s74,s230,s18,s4,s185,s150,s44,s55,s72,s336,s235,s26,s315,s20]) ).
cnf(s930,plain,
( spl0_17
| spl0_46
| spl0_50
| spl0_32
| ~ spl0_36
| spl0_31 ),
inference(rat,[],[s10,s74,s256,s18,s4,s185,s150,s193,s572,s7,s186,s20,s334,s929]) ).
cnf(s931,plain,
( spl0_46
| spl0_50
| spl0_32
| ~ spl0_36
| spl0_31 ),
inference(rat,[],[s10,s277,s555,s16,s5,s106,s901,s235,s272,s930,s13,s929,s531]) ).
cnf(s932,plain,
( spl0_50
| spl0_7
| spl0_6
| ~ spl0_36
| spl0_31 ),
inference(rat,[],[s28,s346,s3,s16,s57,s5,s77,s106,s39,s901,s2,s7,s127,s32,s170,s206,s931,s531,s41,s29,s13,s334,s929,s64]) ).
cnf(s933,plain,
( spl0_7
| spl0_6
| ~ spl0_36
| spl0_31 ),
inference(rat,[],[s185,s4,s193,s150,s18,s7,s235,s540,s230,s237,s932,s64,s20,s334,s929]) ).
cnf(s934,plain,
( ~ spl0_29
| spl0_49
| spl0_50
| spl0_46
| ~ spl0_36 ),
inference(rat,[],[s10,s74,s256]) ).
cnf(s935,plain,
( spl0_49
| spl0_50
| spl0_46
| ~ spl0_32
| ~ spl0_36 ),
inference(rat,[],[s28,s349,s3,s57,s10,s51,s68,s549,s150,s4,s18,s934,s185,s29,s20,s163,s127,s137]) ).
cnf(s936,plain,
( spl0_50
| spl0_46
| ~ spl0_32
| ~ spl0_36 ),
inference(rat,[],[s5,s106,s16,s862,s676,s935,s531,s13,s929]) ).
cnf(s937,plain,
( spl0_6
| spl0_41
| ~ spl0_36
| spl0_31
| spl0_26 ),
inference(rat,[],[s49,s53,s9,s6,s401,s609,s540,s230,s596,s613,s936,s918,s40,s107,s933,s283]) ).
cnf(s938,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s901,s7,s106,s64,s5,s918,s206,s16,s531,s10,s17,s239,s245,s843,s78,s198,s937,s334,s929,s13,s134,s224,s651,s928,s454,s279]) ).
cnf(s939,plain,
( ~ spl0_47
| spl0_14
| spl0_30
| spl0_27
| spl0_1 ),
inference(rat,[],[s85,s91,s3,s6,s28,s349,s386,s279,s122,s105,s938]) ).
cnf(s940,plain,
( spl0_21
| spl0_23
| spl0_49
| spl0_6
| spl0_46
| spl0_50
| spl0_1 ),
inference(rat,[],[s18,s4,s915,s196,s87,s215,s2,s10,s61,s939,s150,s57,s39,s335,s366,s738,s106,s5,s401,s19,s12,s40,s109,s105,s938,s531,s283,s185]) ).
cnf(s941,plain,
( ~ spl0_30
| spl0_49
| spl0_46
| spl0_50
| ~ spl0_31 ),
inference(rat,[],[s3,s57,s85,s367,s322,s28,s10,s51,s346,s555,s122]) ).
cnf(s942,plain,
( ~ spl0_47
| spl0_30
| spl0_27
| spl0_1 ),
inference(rat,[],[s57,s939,s367,s105,s938]) ).
cnf(s943,plain,
( spl0_49
| spl0_6
| spl0_46
| spl0_50
| spl0_1 ),
inference(rat,[],[s39,s510,s2,s10,s61,s942,s87,s144,s293,s940,s16,s941,s40,s109,s105,s938,s283]) ).
cnf(s944,plain,
( spl0_6
| spl0_46
| spl0_50
| spl0_1 ),
inference(rat,[],[s293,s492,s5,s6,s106,s96,s16,s878,s71,s676,s943,s283,s279,s12,s105,s938,s531]) ).
cnf(s945,plain,
( spl0_46
| spl0_50
| spl0_1 ),
inference(rat,[],[s10,s245,s843,s78,s198,s944]) ).
cnf(s946,plain,
( ~ spl0_45
| spl0_6
| ~ spl0_46
| ~ spl0_31 ),
inference(rat,[],[s18,s4,s145,s403,s87,s2,s150,s39,s335,s738,s19,s40,s109,s32,s22]) ).
cnf(s947,plain,
( ~ spl0_40
| spl0_45
| ~ spl0_46
| spl0_41 ),
inference(rat,[],[s9,s141,s151,s161]) ).
cnf(s948,plain,
( spl0_6
| ~ spl0_46
| spl0_25
| ~ spl0_2 ),
inference(rat,[],[s76,s57,s39,s3,s2,s28,s85,s87,s346,s685,s759,s16,s5,s293,s947,s106,s946,s608,s122,s12,s40,s109,s105,s170,s32]) ).
cnf(s949,plain,
( ~ spl0_45
| spl0_16
| spl0_11
| spl0_20
| spl0_15
| ~ spl0_31 ),
inference(rat,[],[s97,s85,s4,s3,s150,s57,s335,s366,s122,s19]) ).
cnf(s950,plain,
( spl0_50
| spl0_1 ),
inference(rat,[],[s293,s5,s947,s106,s949,s16,s18,s28,s17,s80,s168,s78,s948,s22,s170,s945,s531,s608,s12,s105,s938]) ).
cnf(s951,plain,
spl0_1,
inference(rat,[],[s621,s9,s62,s574,s8,s49,s647,s806,s53,s6,s118,s401,s609,s230,s239,s525,s596,s613,s950,s648,s608,s664,s938,s279]) ).
cnf(s952,plain,
~ spl0_31,
inference(rat,[],[s456,s951]) ).
cnf(s954,plain,
~ spl0_41,
inference(rat,[],[s319,s951]) ).
cnf(s956,plain,
~ spl0_36,
inference(rat,[],[s290,s951]) ).
cnf(s958,plain,
spl0_26,
inference(rat,[],[s172,s951]) ).
cnf(s960,plain,
~ spl0_11,
inference(rat,[],[s299,s958]) ).
cnf(s961,plain,
~ spl0_27,
inference(rat,[],[s178,s958]) ).
cnf(s962,plain,
~ spl0_29,
inference(rat,[],[s36,s958]) ).
cnf(s963,plain,
~ spl0_21,
inference(rat,[],[s11,s958]) ).
cnf(s964,plain,
~ spl0_6,
inference(rat,[],[s78,s961]) ).
cnf(s965,plain,
~ spl0_16,
inference(rat,[],[s18,s962]) ).
cnf(s967,plain,
( ~ spl0_22
| spl0_46
| spl0_50 ),
inference(rat,[],[s3,s57,s85,s418,s97,s196,s4,s127,s10,s51,s185,s150,s27,s55,s72,s336,s235,s26,s315,s960,s965]) ).
cnf(s968,plain,
( spl0_49
| ~ spl0_45
| spl0_46
| spl0_50 ),
inference(rat,[],[s56,s405,s3,s10,s51,s85,s215,s97,s196,s4,s185,s235,s901,s57,s366,s150,s335,s960,s965]) ).
cnf(s969,plain,
( ~ spl0_45
| spl0_46
| spl0_50 ),
inference(rat,[],[s7,s862,s193,s968,s901,s334,s967,s952]) ).
cnf(s970,plain,
( ~ spl0_47
| ~ spl0_40
| spl0_45 ),
inference(rat,[],[s9,s296,s121,s436,s451,s954]) ).
cnf(s971,plain,
( ~ spl0_48
| ~ spl0_40
| spl0_45 ),
inference(rat,[],[s9,s50,s510,s520,s214,s954]) ).
cnf(s972,plain,
( spl0_46
| spl0_50 ),
inference(rat,[],[s9,s480,s494,s530,s10,s971,s970,s293,s5,s106,s969,s967,s531,s954,s963]) ).
cnf(s973,plain,
~ spl0_46,
inference(rat,[],[s917,s918,s964,s956,s952,s954]) ).
cnf(s975,plain,
spl0_50,
inference(rat,[],[s972,s973]) ).
cnf(s976,plain,
~ spl0_24,
inference(rat,[],[s613,s975]) ).
cnf(s977,plain,
~ spl0_23,
inference(rat,[],[s525,s975]) ).
cnf(s978,plain,
~ spl0_34,
inference(rat,[],[s237,s975]) ).
cnf(s979,plain,
~ spl0_45,
inference(rat,[],[s609,s976]) ).
cnf(s980,plain,
~ spl0_40,
inference(rat,[],[s118,s977]) ).
cnf(s981,plain,
~ spl0_17,
inference(rat,[],[s235,s978]) ).
cnf(s982,plain,
~ spl0_35,
inference(rat,[],[s9,s223,s787,s196,s4,s185,s150,s72,s336,s954,s979,s975,s981,s965]) ).
cnf(s983,plain,
~ spl0_22,
inference(rat,[],[s26,s982]) ).
cnf(s984,plain,
spl0_25,
inference(rat,[],[s5,s977,s976,s963,s983]) ).
cnf(s986,plain,
~ spl0_48,
inference(rat,[],[s104,s984]) ).
cnf(s988,plain,
~ spl0_15,
inference(rat,[],[s51,s986]) ).
cnf(s989,plain,
( spl0_44
| spl0_43
| spl0_20 ),
inference(rat,[],[s149,s787,s4,s9,s150,s975,s981,s965,s954,s979]) ).
cnf(s990,plain,
( spl0_43
| spl0_20 ),
inference(rat,[],[s3,s85,s127,s535,s572,s989,s57,s988,s960,s975]) ).
cnf(s991,plain,
spl0_20,
inference(rat,[],[s4,s150,s196,s68,s223,s990,s981,s965,s975]) ).
cnf(s992,plain,
spl0_49,
inference(rat,[],[s185,s991]) ).
cnf(s993,plain,
~ spl0_19,
inference(rat,[],[s529,s992]) ).
cnf(s994,plain,
~ spl0_33,
inference(rat,[],[s193,s992]) ).
cnf(s995,plain,
~ spl0_18,
inference(rat,[],[s98,s992]) ).
cnf(s996,plain,
~ spl0_44,
inference(rat,[],[s66,s993]) ).
cnf(s998,plain,
spl0_32,
inference(rat,[],[s7,s982,s952,s978,s994]) ).
cnf(s999,plain,
~ spl0_39,
inference(rat,[],[s638,s995]) ).
cnf(s1000,plain,
spl0_7,
inference(rat,[],[s64,s998]) ).
cnf(s1001,plain,
~ spl0_42,
inference(rat,[],[s107,s1000]) ).
cnf(s1002,plain,
~ spl0_37,
inference(rat,[],[s60,s1000]) ).
cnf(s1004,plain,
spl0_43,
inference(rat,[],[s9,s979,s996,s954,s1001]) ).
cnf(s1006,plain,
spl0_38,
inference(rat,[],[s8,s956,s980,s999,s1002]) ).
cnf(s1008,plain,
~ spl0_13,
inference(rat,[],[s47,s1004]) ).
cnf(s1009,plain,
$false,
inference(rat,[],[s100,s1006,s1008]) ).
fof(f3313,plain,
$false,
inference(avatar_sat_refutation,[],[s1009]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG084+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:29:02 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.33 % (2930811)Will run a generic schedule for satisfiability detection.
% 0.19/0.33 % (2930821)% WARNING: option uhcvi not known.
% 0.19/0.33 % (2930821)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2633889349:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.33 % (2930820)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1447353201_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.33 % (2930824)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2875694016:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.33 % (2930823)dis+10_1_sil=32000:sp=arity:random_seed=3995730116:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.33 % (2930822)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=266029344:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.33 % (2930826)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1823958224:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.33 % (2930825)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1141672475:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.33 % Detected minimum model sizes of [10]
% 0.19/0.33 % Detected maximum model sizes of [max]
% 0.19/0.33 % TRYING [10]
% 0.19/0.33 % (2930824) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2930811-2930824"...
% 0.19/0.33 % (2930823)Instruction limit reached!
% 0.19/0.33 % (2930823)------------------------------
% 0.19/0.33 % (2930823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (2930823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (2930823)CaDiCaL version: 2.1.3
% 0.19/0.33 % (2930823)Termination reason: Instruction limit
% 0.19/0.33 % (2930823)Termination phase: Saturation
% 0.19/0.33 % (2930823)Time elapsed: 0.055 s
% 0.19/0.33 % (2930823)Peak memory usage: 12 MB
% 0.19/0.33 % (2930823)Instructions burned: 104 (million)
% 0.19/0.33 % (2930825)Instruction limit reached!
% 0.19/0.33 % (2930825)------------------------------
% 0.19/0.33 % (2930825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (2930825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (2930825)CaDiCaL version: 2.1.3
% 0.19/0.33 % (2930825)Termination reason: Instruction limit
% 0.19/0.33 % (2930825)Termination phase: Saturation
% 0.19/0.33 % (2930825)Time elapsed: 0.065 s
% 0.19/0.33 % (2930825)Peak memory usage: 13 MB
% 0.19/0.33 % (2930825)Instructions burned: 133 (million)
% 0.19/0.33 % (2930824)...printing done.
% 0.19/0.33 % (2930824)Refutation found. Thanks to Tanya!
% 0.19/0.33 % SZS status Theorem for theBenchmark
% 0.19/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.34 % (2930824)------------------------------
% 0.19/0.34 % (2930824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34 % (2930824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34 % (2930824)CaDiCaL version: 2.1.3
% 0.19/0.34 % (2930824)Termination reason: Refutation
% 0.19/0.34 % (2930824)Time elapsed: 0.065 s
% 0.19/0.34 % (2930824)Peak memory usage: 13 MB
% 0.19/0.34 % (2930824)Instructions burned: 119 (million)
% 0.19/0.34 % (2930811)Success in time 0.109 s
% 0.19/0.34 % Vampire exiting
%------------------------------------------------------------------------------