%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG184+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:28:50 AM UTC 2026
% Result : Theorem 0.48s 0.30s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 55
% Syntax : Number of formulae : 959 ( 83 unt; 50 def)
% Number of atoms : 3065 (1047 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 3729 (1623 ~;1714 |; 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) = e14
& op1(e10,e11) = e12
& op1(e10,e12) = e10
& op1(e10,e13) = e11
& op1(e10,e14) = e13
& op1(e11,e10) = e10
& op1(e11,e11) = e11
& op1(e11,e12) = e12
& op1(e11,e13) = e13
& op1(e11,e14) = e14
& op1(e12,e10) = e11
& op1(e12,e11) = e14
& op1(e12,e12) = e13
& op1(e12,e13) = e10
& op1(e12,e14) = e12
& op1(e13,e10) = e13
& op1(e13,e11) = e10
& op1(e13,e12) = e14
& op1(e13,e13) = e12
& op1(e13,e14) = e11
& op1(e14,e10) = e12
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e14
& op1(e14,e14) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e23
& op2(e20,e22) = e24
& op2(e20,e23) = e22
& op2(e20,e24) = e21
& op2(e21,e20) = e22
& op2(e21,e21) = e21
& op2(e21,e22) = e23
& op2(e21,e23) = e24
& op2(e21,e24) = e20
& op2(e22,e20) = e21
& op2(e22,e21) = e24
& op2(e22,e22) = e22
& op2(e22,e23) = e20
& op2(e22,e24) = e23
& op2(e23,e20) = e24
& op2(e23,e21) = e20
& op2(e23,e22) = e21
& op2(e23,e23) = e23
& op2(e23,e24) = e22
& op2(e24,e20) = e23
& op2(e24,e21) = e22
& op2(e24,e22) = e20
& op2(e24,e23) = e21
& op2(e24,e24) = e24 ),
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(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(f29,plain,
e20 != e21,
inference(cnf_transformation,[],[f2]) ).
fof(f55,plain,
e10 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f61,plain,
e12 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f65,plain,
e12 = op1(e12,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f66,plain,
e10 = op1(e12,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f69,plain,
e11 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f71,plain,
e13 = op1(e11,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f72,plain,
e12 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f73,plain,
e11 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f74,plain,
e10 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f76,plain,
e11 = op1(e10,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f77,plain,
e10 = op1(e10,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f78,plain,
e12 = op1(e10,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f80,plain,
e24 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e21 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
e20 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
e22 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
e23 = op2(e24,e20),
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(f176,definition,
( spl0_1
<=> e20 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f177,plain,
( e20 != h(e10)
| spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( e20 = h(e10)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl0_2
<=> e21 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f182,plain,
( e21 = h(e10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl0_3
<=> e22 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f186,plain,
( e22 = h(e10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl0_4
<=> e23 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(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(f223,plain,
( e21 != h(e12)
| spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
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(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(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(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(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(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(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(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(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(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(f553,plain,
( e24 = h(e10)
| ~ spl0_46 ),
inference(superposition,[],[f120,f367]) ).
fof(f555,plain,
( e22 = h(e11)
| ~ spl0_37 ),
inference(superposition,[],[f122,f329]) ).
fof(f561,plain,
( j(op2(e24,e23)) = op1(e10,j(e23))
| ~ spl0_46 ),
inference(superposition,[],[f126,f367]) ).
fof(f564,plain,
( op1(e10,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f561,f354]) ).
fof(f566,plain,
( op1(e10,e12) = j(e21)
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f564,f81]) ).
fof(f568,plain,
( e14 = op1(e10,e12)
| ~ spl0_35
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f566,f320]) ).
fof(f570,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f568,f77]) ).
fof(f573,plain,
( $false
| ~ spl0_35
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f570,f16]) ).
fof(f574,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f573]) ).
fof(f588,plain,
( e12 = j(e24)
| ~ spl0_15 ),
inference(superposition,[],[f117,f236]) ).
fof(f589,plain,
( e10 = e12
| ~ spl0_15
| ~ spl0_46 ),
inference(forward_demodulation,[],[f588,f367]) ).
fof(f590,plain,
( $false
| ~ spl0_15
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f589,f18]) ).
fof(f591,plain,
( ~ spl0_15
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f597,plain,
( e22 = h(e11)
| ~ spl0_37 ),
inference(superposition,[],[f122,f329]) ).
fof(f601,plain,
( e22 = h(e12)
| ~ spl0_38 ),
inference(superposition,[],[f122,f333]) ).
fof(f603,plain,
( $false
| spl0_13
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f601,f227]) ).
fof(f604,plain,
( spl0_13
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f603]) ).
fof(f626,plain,
( j(op2(e24,e23)) = op1(j(e24),e10)
| ~ spl0_41 ),
inference(superposition,[],[f126,f346]) ).
fof(f627,plain,
( e23 = h(e10)
| ~ spl0_41 ),
inference(superposition,[],[f121,f346]) ).
fof(f628,plain,
( op1(e12,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f626,f375]) ).
fof(f629,plain,
( op1(e12,e10) = j(e21)
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f628,f81]) ).
fof(f630,plain,
( e14 = op1(e12,e10)
| ~ spl0_35
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f629,f320]) ).
fof(f631,plain,
( e11 = e14
| ~ spl0_35
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f630,f69]) ).
fof(f632,plain,
( $false
| ~ spl0_35
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f631,f13]) ).
fof(f633,plain,
( ~ spl0_35
| ~ spl0_41
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f635,plain,
( op1(e11,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f626,f371]) ).
fof(f636,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f635,f81]) ).
fof(f637,plain,
( e14 = op1(e11,e10)
| ~ spl0_35
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f636,f320]) ).
fof(f638,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f637,f74]) ).
fof(f639,plain,
( $false
| ~ spl0_35
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f638,f16]) ).
fof(f640,plain,
( ~ spl0_35
| ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f646,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f119,f186]) ).
fof(f649,plain,
( spl0_46
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f525,f192,f365]) ).
fof(f650,plain,
( spl0_27
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f493,f197,f285]) ).
fof(f664,plain,
( e20 = h(e11)
| ~ spl0_27 ),
inference(superposition,[],[f124,f287]) ).
fof(f677,plain,
( j(op2(e24,e23)) = op1(j(e24),e11)
| ~ spl0_42 ),
inference(superposition,[],[f126,f350]) ).
fof(f679,plain,
( op1(e10,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f677,f367]) ).
fof(f680,plain,
( op1(e10,e11) = j(e21)
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f679,f81]) ).
fof(f681,plain,
( e14 = op1(e10,e11)
| ~ spl0_35
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f680,f320]) ).
fof(f682,plain,
( e12 = e14
| ~ spl0_35
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f681,f78]) ).
fof(f683,plain,
( $false
| ~ spl0_35
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f682,f11]) ).
fof(f684,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f685,plain,
( spl0_41
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f519,f188,f344]) ).
fof(f696,plain,
( spl0_37
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f541,f205,f327]) ).
fof(f712,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
fof(f715,plain,
( spl0_48
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f588,f234,f373]) ).
fof(f718,plain,
( spl0_36
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f646,f184,f323]) ).
fof(f721,plain,
( spl0_43
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f488,f230,f352]) ).
fof(f728,plain,
( e21 = e22
| ~ spl0_7
| ~ spl0_37 ),
inference(forward_demodulation,[],[f597,f203]) ).
fof(f734,plain,
( $false
| ~ spl0_7
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f728,f25]) ).
fof(f735,plain,
( ~ spl0_7
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f734]) ).
fof(f736,plain,
( e11 = e12
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_demodulation,[],[f354,f350]) ).
fof(f740,plain,
( spl0_8
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f555,f327,f205]) ).
fof(f742,plain,
( $false
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f736,f15]) ).
fof(f743,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f742]) ).
fof(f757,plain,
( e11 = e14
| ~ spl0_32
| ~ spl0_35 ),
inference(superposition,[],[f308,f320]) ).
fof(f758,plain,
( e21 = h(e11)
| ~ spl0_32 ),
inference(superposition,[],[f123,f308]) ).
fof(f764,plain,
( $false
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f757,f13]) ).
fof(f765,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f764]) ).
fof(f772,plain,
( e22 = h(e10)
| ~ spl0_36 ),
inference(superposition,[],[f122,f325]) ).
fof(f774,plain,
( j(op2(e24,e23)) = op1(j(e24),e12)
| ~ spl0_43 ),
inference(superposition,[],[f126,f354]) ).
fof(f775,plain,
( e23 = h(e12)
| ~ spl0_43 ),
inference(superposition,[],[f121,f354]) ).
fof(f784,plain,
( op1(e11,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f774,f371]) ).
fof(f785,plain,
( op1(e11,e12) = j(e21)
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f784,f81]) ).
fof(f786,plain,
( e14 = op1(e11,e12)
| ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f785,f320]) ).
fof(f787,plain,
( e12 = e14
| ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f786,f72]) ).
fof(f788,plain,
( $false
| ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f787,f11]) ).
fof(f789,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f788]) ).
fof(f804,plain,
( e23 = h(e11)
| ~ spl0_42 ),
inference(superposition,[],[f121,f350]) ).
fof(f811,plain,
( j(op2(e24,e23)) = op1(j(e24),e13)
| ~ spl0_44 ),
inference(superposition,[],[f126,f358]) ).
fof(f815,plain,
( op1(e12,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f811,f375]) ).
fof(f820,plain,
( op1(e12,e13) = j(e21)
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f815,f81]) ).
fof(f821,plain,
( e14 = op1(e12,e13)
| ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f820,f320]) ).
fof(f822,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f821,f66]) ).
fof(f823,plain,
( $false
| ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f822,f16]) ).
fof(f824,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f830,plain,
( e24 = h(e12)
| ~ spl0_48 ),
inference(superposition,[],[f120,f375]) ).
fof(f837,plain,
( j(op2(e24,e22)) = op1(e12,j(e22))
| ~ spl0_48 ),
inference(superposition,[],[f127,f375]) ).
fof(f838,plain,
( j(op2(e24,e22)) = op1(j(e24),e10)
| ~ spl0_36 ),
inference(superposition,[],[f127,f325]) ).
fof(f840,plain,
( op1(e12,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f837,f325]) ).
fof(f842,plain,
( op1(e12,e10) = j(e20)
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f840,f82]) ).
fof(f844,plain,
( e13 = op1(e12,e10)
| ~ spl0_29
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f842,f295]) ).
fof(f846,plain,
( e11 = e13
| ~ spl0_29
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f844,f69]) ).
fof(f849,plain,
( $false
| ~ spl0_29
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f846,f14]) ).
fof(f850,plain,
( ~ spl0_29
| ~ spl0_36
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f849]) ).
fof(f865,plain,
( spl0_34
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f429,f243,f314]) ).
fof(f870,plain,
( op1(e12,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f838,f375]) ).
fof(f878,plain,
( op1(e12,e10) = j(e20)
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f870,f82]) ).
fof(f884,plain,
( $false
| spl0_6
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f664,f198]) ).
fof(f885,plain,
( spl0_6
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f884]) ).
fof(f895,plain,
( e14 = op1(e12,e10)
| ~ spl0_30
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f878,f299]) ).
fof(f896,plain,
( e11 = e14
| ~ spl0_30
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f895,f69]) ).
fof(f897,plain,
( $false
| ~ spl0_30
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f896,f13]) ).
fof(f898,plain,
( ~ spl0_30
| ~ spl0_36
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f916,plain,
( e20 = e23
| ~ spl0_6
| ~ spl0_42 ),
inference(forward_demodulation,[],[f804,f199]) ).
fof(f919,plain,
( $false
| ~ spl0_6
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f916,f27]) ).
fof(f920,plain,
( ~ spl0_6
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f919]) ).
fof(f930,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(superposition,[],[f116,f245]) ).
fof(f932,plain,
( e13 = e14
| ~ spl0_34
| ~ spl0_35 ),
inference(superposition,[],[f316,f320]) ).
fof(f933,plain,
( e21 = h(e13)
| ~ spl0_34 ),
inference(superposition,[],[f123,f316]) ).
fof(f939,plain,
( $false
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f932,f10]) ).
fof(f940,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f939]) ).
fof(f950,plain,
( spl0_44
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f442,f251,f356]) ).
fof(f968,plain,
( e21 = h(e12)
| ~ spl0_33 ),
inference(superposition,[],[f123,f312]) ).
fof(f970,plain,
( $false
| spl0_12
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f968,f223]) ).
fof(f971,plain,
( spl0_12
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f970]) ).
fof(f972,plain,
( $false
| spl0_7
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f758,f202]) ).
fof(f973,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f972]) ).
fof(f977,plain,
( spl0_33
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f712,f222,f310]) ).
fof(f991,plain,
( e21 = e24
| ~ spl0_12
| ~ spl0_48 ),
inference(forward_demodulation,[],[f830,f224]) ).
fof(f992,plain,
( $false
| ~ spl0_12
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f991,f23]) ).
fof(f993,plain,
( ~ spl0_12
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f992]) ).
fof(f1002,plain,
( e21 = h(e10)
| ~ spl0_31 ),
inference(superposition,[],[f123,f304]) ).
fof(f1003,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1002,f302,f180]) ).
fof(f1005,plain,
( e20 = e21
| ~ spl0_6
| ~ spl0_32 ),
inference(forward_demodulation,[],[f758,f199]) ).
fof(f1011,plain,
( $false
| ~ spl0_6
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1005,f29]) ).
fof(f1012,plain,
( ~ spl0_6
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1011]) ).
fof(f1023,plain,
( e20 = h(e10)
| ~ spl0_26 ),
inference(superposition,[],[f124,f283]) ).
fof(f1024,plain,
( $false
| spl0_1
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1023,f177]) ).
fof(f1025,plain,
( spl0_1
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1024]) ).
fof(f1063,plain,
( spl0_38
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f482,f226,f331]) ).
fof(f1070,plain,
( spl0_40
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f396,f268,f339]) ).
fof(f1098,plain,
( j(op2(e24,e23)) = op1(j(e24),e13)
| ~ spl0_44 ),
inference(superposition,[],[f126,f358]) ).
fof(f1100,plain,
( op1(e12,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1098,f375]) ).
fof(f1101,plain,
( op1(e12,e13) = j(e21)
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1100,f81]) ).
fof(f1102,plain,
( e11 = op1(e12,e13)
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1101,f308]) ).
fof(f1103,plain,
( e10 = e11
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1102,f66]) ).
fof(f1104,plain,
( $false
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1103,f19]) ).
fof(f1105,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1104]) ).
fof(f1107,plain,
( spl0_31
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f502,f180,f302]) ).
fof(f1108,plain,
( e20 = e21
| ~ spl0_1
| ~ spl0_31 ),
inference(forward_demodulation,[],[f1002,f178]) ).
fof(f1116,plain,
( $false
| ~ spl0_1
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f1108,f29]) ).
fof(f1117,plain,
( ~ spl0_1
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f1116]) ).
fof(f1119,plain,
( $false
| spl0_17
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f933,f244]) ).
fof(f1120,plain,
( spl0_17
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1119]) ).
fof(f1147,plain,
( e13 = e14
| ~ spl0_39
| ~ spl0_40 ),
inference(superposition,[],[f337,f341]) ).
fof(f1156,plain,
( $false
| ~ spl0_39
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1147,f10]) ).
fof(f1157,plain,
( ~ spl0_39
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1156]) ).
fof(f1166,plain,
( e14 = j(e23)
| ~ spl0_24 ),
inference(superposition,[],[f115,f274]) ).
fof(f1176,plain,
( j(op2(e24,e23)) = op1(e12,j(e23))
| ~ spl0_48 ),
inference(superposition,[],[f126,f375]) ).
fof(f1177,plain,
( j(op2(e24,e22)) = op1(e12,j(e22))
| ~ spl0_48 ),
inference(superposition,[],[f127,f375]) ).
fof(f1179,plain,
( op1(e12,e13) = j(op2(e24,e22))
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1177,f337]) ).
fof(f1182,plain,
( op1(e12,e13) = j(e20)
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1179,f82]) ).
fof(f1187,plain,
( j(op2(e24,e21)) = op1(e12,j(e21))
| ~ spl0_48 ),
inference(superposition,[],[f128,f375]) ).
fof(f1195,plain,
( j(op2(e24,e20)) = op1(e12,j(e20))
| ~ spl0_48 ),
inference(superposition,[],[f129,f375]) ).
fof(f1198,plain,
( op1(e12,e10) = j(op2(e24,e20))
| ~ spl0_26
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1195,f283]) ).
fof(f1200,plain,
( op1(e12,e10) = j(e23)
| ~ spl0_26
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1198,f84]) ).
fof(f1202,plain,
( e14 = op1(e12,e10)
| ~ spl0_26
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1200,f362]) ).
fof(f1204,plain,
( e11 = e14
| ~ spl0_26
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1202,f69]) ).
fof(f1207,plain,
( $false
| ~ spl0_26
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1204,f13]) ).
fof(f1208,plain,
( ~ spl0_26
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1207]) ).
fof(f1218,plain,
( e11 = e14
| ~ spl0_24
| ~ spl0_42 ),
inference(forward_demodulation,[],[f1166,f350]) ).
fof(f1226,plain,
( $false
| ~ spl0_24
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1218,f13]) ).
fof(f1227,plain,
( ~ spl0_24
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f1226]) ).
fof(f1238,plain,
( e12 = e14
| ~ spl0_24
| ~ spl0_43 ),
inference(forward_demodulation,[],[f1166,f354]) ).
fof(f1246,plain,
( $false
| ~ spl0_24
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1238,f11]) ).
fof(f1247,plain,
( ~ spl0_24
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f1246]) ).
fof(f1286,plain,
( op1(e12,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1187,f304]) ).
fof(f1294,plain,
( op1(e12,e10) = j(e22)
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1286,f83]) ).
fof(f1298,plain,
( e13 = op1(e12,e10)
| ~ spl0_31
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1294,f337]) ).
fof(f1304,plain,
( e11 = e13
| ~ spl0_31
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1298,f69]) ).
fof(f1305,plain,
( $false
| ~ spl0_31
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1304,f14]) ).
fof(f1306,plain,
( ~ spl0_31
| ~ spl0_39
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1305]) ).
fof(f1316,plain,
( e14 = op1(e12,e13)
| ~ spl0_30
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1182,f299]) ).
fof(f1325,plain,
( e10 = e14
| ~ spl0_30
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1316,f66]) ).
fof(f1332,plain,
( $false
| ~ spl0_30
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1325,f16]) ).
fof(f1333,plain,
( ~ spl0_30
| ~ spl0_39
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1332]) ).
fof(f1339,plain,
( e11 = e13
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_demodulation,[],[f930,f308]) ).
fof(f1344,plain,
( op1(e12,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1176,f346]) ).
fof(f1356,plain,
( $false
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1339,f14]) ).
fof(f1357,plain,
( ~ spl0_17
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1356]) ).
fof(f1360,plain,
( op1(e12,e10) = j(e21)
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1344,f81]) ).
fof(f1366,plain,
( j(e22) = op1(e12,j(e21))
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1187,f83]) ).
fof(f1367,plain,
( e13 = op1(e12,e10)
| ~ spl0_34
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1360,f316]) ).
fof(f1369,plain,
( op1(e12,e13) = j(e22)
| ~ spl0_34
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1366,f316]) ).
fof(f1370,plain,
( e11 = e13
| ~ spl0_34
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1367,f69]) ).
fof(f1371,plain,
( e14 = op1(e12,e13)
| ~ spl0_34
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1369,f341]) ).
fof(f1372,plain,
( $false
| ~ spl0_34
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1370,f14]) ).
fof(f1373,plain,
( ~ spl0_34
| ~ spl0_41
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1372]) ).
fof(f1374,plain,
( e10 = e14
| ~ spl0_34
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1371,f66]) ).
fof(f1375,plain,
( $false
| ~ spl0_34
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1374,f16]) ).
fof(f1376,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1375]) ).
fof(f1378,plain,
( spl0_45
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f403,f272,f360]) ).
fof(f1383,plain,
( op1(e12,e14) = j(op2(e24,e23))
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1176,f362]) ).
fof(f1391,plain,
( op1(e12,e14) = j(e21)
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1383,f81]) ).
fof(f1394,plain,
( e13 = op1(e12,e14)
| ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1391,f316]) ).
fof(f1397,plain,
( e12 = e13
| ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1394,f65]) ).
fof(f1398,plain,
( $false
| ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1397,f12]) ).
fof(f1399,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1398]) ).
fof(f1436,plain,
( e13 = e14
| ~ spl0_44
| ~ spl0_45 ),
inference(forward_demodulation,[],[f362,f358]) ).
fof(f1441,plain,
( op1(e12,e10) = j(e22)
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1366,f304]) ).
fof(f1452,plain,
( $false
| ~ spl0_44
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1436,f10]) ).
fof(f1453,plain,
( ~ spl0_44
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f1452]) ).
fof(f1466,plain,
( e14 = op1(e12,e10)
| ~ spl0_31
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1441,f341]) ).
fof(f1469,plain,
( e11 = e14
| ~ spl0_31
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1466,f69]) ).
fof(f1471,plain,
( $false
| ~ spl0_31
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1469,f13]) ).
fof(f1472,plain,
( ~ spl0_31
| ~ spl0_40
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1471]) ).
fof(f1479,plain,
( op1(e12,e14) = j(op2(e24,e20))
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1195,f299]) ).
fof(f1484,plain,
( op1(e12,e14) = j(e23)
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1479,f84]) ).
fof(f1486,plain,
( e13 = op1(e12,e14)
| ~ spl0_30
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1484,f358]) ).
fof(f1487,plain,
( e12 = e13
| ~ spl0_30
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1486,f65]) ).
fof(f1488,plain,
( $false
| ~ spl0_30
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1487,f12]) ).
fof(f1489,plain,
( ~ spl0_30
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1488]) ).
fof(f1490,plain,
( spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f506,f176,f281]) ).
fof(f1499,plain,
( e22 = e23
| ~ spl0_8
| ~ spl0_42 ),
inference(forward_demodulation,[],[f804,f207]) ).
fof(f1504,plain,
( op1(e12,e14) = j(e22)
| ~ spl0_35
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1366,f320]) ).
fof(f1526,plain,
( $false
| ~ spl0_8
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1499,f22]) ).
fof(f1527,plain,
( ~ spl0_8
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f1526]) ).
fof(f1533,plain,
( j(e20) = op1(e12,j(e22))
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1177,f82]) ).
fof(f1534,plain,
( spl0_39
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f435,f247,f335]) ).
fof(f1535,plain,
( e13 = op1(e12,e14)
| ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1504,f337]) ).
fof(f1537,plain,
( e12 = e13
| ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1535,f65]) ).
fof(f1539,plain,
( $false
| ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1537,f12]) ).
fof(f1540,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1539]) ).
fof(f1551,plain,
( op1(e12,e13) = j(op2(e24,e20))
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1195,f295]) ).
fof(f1562,plain,
( op1(e12,e13) = j(e23)
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1551,f84]) ).
fof(f1564,plain,
( e14 = op1(e12,e13)
| ~ spl0_29
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1562,f362]) ).
fof(f1565,plain,
( e10 = e14
| ~ spl0_29
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1564,f66]) ).
fof(f1566,plain,
( $false
| ~ spl0_29
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1565,f16]) ).
fof(f1567,plain,
( ~ spl0_29
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1566]) ).
fof(f1576,plain,
( op1(e12,e14) = j(e20)
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1533,f341]) ).
fof(f1584,plain,
( e13 = op1(e12,e14)
| ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1576,f295]) ).
fof(f1587,plain,
( e12 = e13
| ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1584,f65]) ).
fof(f1588,plain,
( $false
| ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1587,f12]) ).
fof(f1589,plain,
( ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1588]) ).
fof(f1628,plain,
( e12 = e13
| ~ spl0_28
| ~ spl0_29 ),
inference(superposition,[],[f295,f291]) ).
fof(f1637,plain,
( $false
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1628,f12]) ).
fof(f1638,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1637]) ).
fof(f1643,plain,
( spl0_50
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f411,f276,f381]) ).
fof(f1711,plain,
( j(op2(e24,e20)) = op1(j(e24),e12)
| ~ spl0_28 ),
inference(superposition,[],[f129,f291]) ).
fof(f1712,plain,
( e20 = h(e12)
| ~ spl0_28 ),
inference(superposition,[],[f124,f291]) ).
fof(f1724,plain,
( j(op2(e24,e22)) = op1(j(e24),e10)
| ~ spl0_36 ),
inference(superposition,[],[f127,f325]) ).
fof(f1732,plain,
( j(op2(e24,e23)) = op1(j(e24),e13)
| ~ spl0_44 ),
inference(superposition,[],[f126,f358]) ).
fof(f1746,plain,
( op1(e11,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1724,f371]) ).
fof(f1747,plain,
( op1(e11,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1732,f371]) ).
fof(f1750,plain,
( op1(e11,e10) = j(e20)
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1746,f82]) ).
fof(f1751,plain,
( op1(e11,e13) = j(e21)
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1747,f81]) ).
fof(f1754,plain,
( e12 = op1(e11,e10)
| ~ spl0_28
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1750,f291]) ).
fof(f1755,plain,
( e14 = op1(e11,e13)
| ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1751,f320]) ).
fof(f1757,plain,
( e10 = e12
| ~ spl0_28
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1754,f74]) ).
fof(f1758,plain,
( e13 = e14
| ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1755,f71]) ).
fof(f1761,plain,
( $false
| ~ spl0_28
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1757,f18]) ).
fof(f1762,plain,
( ~ spl0_28
| ~ spl0_36
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1761]) ).
fof(f1763,plain,
( $false
| ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1758,f10]) ).
fof(f1764,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1763]) ).
fof(f1770,plain,
( op1(e10,e12) = j(op2(e24,e20))
| ~ spl0_28
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1711,f367]) ).
fof(f1772,plain,
( op1(e10,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1732,f367]) ).
fof(f1777,plain,
( op1(e10,e12) = j(e23)
| ~ spl0_28
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1770,f84]) ).
fof(f1779,plain,
( op1(e10,e13) = j(e21)
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1772,f81]) ).
fof(f1780,plain,
( e13 = op1(e10,e12)
| ~ spl0_28
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1777,f358]) ).
fof(f1782,plain,
( e14 = op1(e10,e13)
| ~ spl0_35
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1779,f320]) ).
fof(f1783,plain,
( e10 = e13
| ~ spl0_28
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1780,f77]) ).
fof(f1784,plain,
( e11 = e14
| ~ spl0_35
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1782,f76]) ).
fof(f1785,plain,
( $false
| ~ spl0_28
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1783,f17]) ).
fof(f1786,plain,
( ~ spl0_28
| ~ spl0_44
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1785]) ).
fof(f1787,plain,
( $false
| ~ spl0_35
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1784,f13]) ).
fof(f1788,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1787]) ).
fof(f1810,plain,
( spl0_49
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f450,f255,f377]) ).
fof(f1812,plain,
( e20 = e23
| ~ spl0_11
| ~ spl0_43 ),
inference(forward_demodulation,[],[f775,f220]) ).
fof(f1825,plain,
( $false
| ~ spl0_11
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1812,f27]) ).
fof(f1826,plain,
( ~ spl0_11
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f1825]) ).
fof(f1833,plain,
( $false
| spl0_11
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1712,f219]) ).
fof(f1834,plain,
( spl0_11
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1833]) ).
fof(f1854,plain,
( j(op2(e24,e20)) = op1(j(e24),e10)
| ~ spl0_26 ),
inference(superposition,[],[f129,f283]) ).
fof(f1874,plain,
( op1(e13,e13) = j(op2(e24,e24))
| ~ spl0_49 ),
inference(superposition,[],[f125,f379]) ).
fof(f1884,plain,
( op1(e13,e13) = j(e24)
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1874,f80]) ).
fof(f1889,plain,
( e13 = op1(e13,e13)
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1884,f379]) ).
fof(f1894,plain,
( e12 = e13
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1889,f61]) ).
fof(f1895,plain,
( $false
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1894,f12]) ).
fof(f1896,plain,
~ spl0_49,
inference(avatar_contradiction_clause,[],[f1895]) ).
fof(f1905,plain,
( op1(e11,e10) = j(op2(e24,e20))
| ~ spl0_26
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1854,f371]) ).
fof(f1912,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_26
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1905,f84]) ).
fof(f1914,plain,
( e11 = op1(e11,e10)
| ~ spl0_26
| ~ spl0_42
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1912,f350]) ).
fof(f1915,plain,
( e10 = e11
| ~ spl0_26
| ~ spl0_42
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1914,f74]) ).
fof(f1916,plain,
( $false
| ~ spl0_26
| ~ spl0_42
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1915,f19]) ).
fof(f1917,plain,
( ~ spl0_26
| ~ spl0_42
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1916]) ).
fof(f1968,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
fof(f1969,plain,
( e21 = e22
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f228,f224]) ).
fof(f1976,plain,
( $false
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1969,f25]) ).
fof(f1977,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1976]) ).
fof(f2020,plain,
( j(op2(e24,e20)) = op1(j(e24),e11)
| ~ spl0_27 ),
inference(superposition,[],[f129,f287]) ).
fof(f2026,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f2039,plain,
( j(op2(e24,e23)) = op1(j(e24),e13)
| ~ spl0_44 ),
inference(superposition,[],[f126,f358]) ).
fof(f2045,plain,
( op1(e14,e14) = j(op2(e24,e24))
| ~ spl0_50 ),
inference(superposition,[],[f125,f383]) ).
fof(f2056,plain,
( op1(e14,e14) = j(e24)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2045,f80]) ).
fof(f2061,plain,
( e14 = op1(e14,e14)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2056,f383]) ).
fof(f2066,plain,
( e10 = e14
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2061,f55]) ).
fof(f2067,plain,
( $false
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2066,f16]) ).
fof(f2068,plain,
~ spl0_50,
inference(avatar_contradiction_clause,[],[f2067]) ).
fof(f2075,plain,
( op1(e11,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2026,f371]) ).
fof(f2082,plain,
( op1(e11,e12) = j(e22)
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2075,f83]) ).
fof(f2085,plain,
( e14 = op1(e11,e12)
| ~ spl0_33
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2082,f341]) ).
fof(f2088,plain,
( e12 = e14
| ~ spl0_33
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2085,f72]) ).
fof(f2091,plain,
( $false
| ~ spl0_33
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2088,f11]) ).
fof(f2092,plain,
( ~ spl0_33
| ~ spl0_40
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2091]) ).
fof(f2093,plain,
( e20 = e24
| ~ spl0_1
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f178]) ).
fof(f2098,plain,
( op1(e10,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2020,f367]) ).
fof(f2099,plain,
( op1(e10,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2026,f367]) ).
fof(f2100,plain,
( op1(e10,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2039,f367]) ).
fof(f2101,plain,
( $false
| ~ spl0_1
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2093,f26]) ).
fof(f2102,plain,
( ~ spl0_1
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2101]) ).
fof(f2103,plain,
( op1(e10,e11) = j(e23)
| ~ spl0_27
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2098,f84]) ).
fof(f2104,plain,
( op1(e10,e12) = j(e22)
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2099,f83]) ).
fof(f2105,plain,
( op1(e10,e13) = j(e21)
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2100,f81]) ).
fof(f2106,plain,
( e13 = op1(e10,e11)
| ~ spl0_27
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2103,f358]) ).
fof(f2107,plain,
( e14 = op1(e10,e12)
| ~ spl0_33
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2104,f341]) ).
fof(f2108,plain,
( e12 = op1(e10,e13)
| ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2105,f312]) ).
fof(f2109,plain,
( e12 = e13
| ~ spl0_27
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2106,f78]) ).
fof(f2110,plain,
( e10 = e14
| ~ spl0_33
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2107,f77]) ).
fof(f2111,plain,
( e11 = e12
| ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2108,f76]) ).
fof(f2112,plain,
( $false
| ~ spl0_27
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2109,f12]) ).
fof(f2113,plain,
( ~ spl0_27
| ~ spl0_44
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2112]) ).
fof(f2114,plain,
( $false
| ~ spl0_33
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2110,f16]) ).
fof(f2115,plain,
( ~ spl0_33
| ~ spl0_40
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2114]) ).
fof(f2116,plain,
( $false
| ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2111,f15]) ).
fof(f2117,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2116]) ).
fof(f2137,plain,
( e20 = e23
| ~ spl0_1
| ~ spl0_41 ),
inference(forward_demodulation,[],[f627,f178]) ).
fof(f2142,plain,
( $false
| ~ spl0_1
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2137,f27]) ).
fof(f2143,plain,
( ~ spl0_1
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f2142]) ).
fof(f2159,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f2162,plain,
( j(op2(e24,e21)) = op1(j(e24),e13)
| ~ spl0_34 ),
inference(superposition,[],[f128,f316]) ).
fof(f2164,plain,
( op1(e11,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2162,f371]) ).
fof(f2165,plain,
( op1(e11,e13) = j(e22)
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2164,f83]) ).
fof(f2166,plain,
( e14 = op1(e11,e13)
| ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2165,f341]) ).
fof(f2167,plain,
( e13 = e14
| ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2166,f71]) ).
fof(f2168,plain,
( $false
| ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2167,f10]) ).
fof(f2169,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2168]) ).
fof(f2170,plain,
( e23 = e24
| ~ spl0_4
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f190]) ).
fof(f2175,plain,
( op1(e10,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2020,f367]) ).
fof(f2176,plain,
( op1(e10,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2162,f367]) ).
fof(f2177,plain,
( $false
| ~ spl0_4
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2170,f20]) ).
fof(f2178,plain,
( ~ spl0_4
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2177]) ).
fof(f2179,plain,
( op1(e10,e11) = j(e23)
| ~ spl0_27
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2175,f84]) ).
fof(f2180,plain,
( op1(e10,e13) = j(e22)
| ~ spl0_34
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2176,f83]) ).
fof(f2182,plain,
( e14 = op1(e10,e13)
| ~ spl0_34
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2180,f341]) ).
fof(f2183,plain,
( e11 = e14
| ~ spl0_34
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2182,f76]) ).
fof(f2184,plain,
( $false
| ~ spl0_34
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2183,f13]) ).
fof(f2185,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2184]) ).
fof(f2189,plain,
( e14 = op1(e10,e11)
| ~ spl0_27
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2179,f362]) ).
fof(f2191,plain,
( e12 = op1(e10,e13)
| ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2180,f333]) ).
fof(f2194,plain,
( e12 = e14
| ~ spl0_27
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2189,f78]) ).
fof(f2195,plain,
( e11 = e12
| ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2191,f76]) ).
fof(f2196,plain,
( $false
| ~ spl0_27
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2194,f11]) ).
fof(f2197,plain,
( ~ spl0_27
| ~ spl0_45
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2196]) ).
fof(f2198,plain,
( $false
| ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2195,f15]) ).
fof(f2199,plain,
( ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2198]) ).
fof(f2204,plain,
( e12 = e14
| ~ spl0_23
| ~ spl0_38 ),
inference(forward_demodulation,[],[f2159,f333]) ).
fof(f2208,plain,
( $false
| spl0_4
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f627,f189]) ).
fof(f2209,plain,
( spl0_4
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f2208]) ).
fof(f2229,plain,
( $false
| ~ spl0_23
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f2204,f11]) ).
fof(f2230,plain,
( ~ spl0_23
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f2229]) ).
fof(f2235,plain,
( e11 = e12
| ~ spl0_12
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1968,f308]) ).
fof(f2238,plain,
( spl0_3
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f772,f323,f184]) ).
fof(f2250,plain,
( $false
| ~ spl0_12
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f2235,f15]) ).
fof(f2251,plain,
( ~ spl0_12
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f2250]) ).
fof(f2268,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
fof(f2276,plain,
( j(op2(e24,e20)) = op1(j(e24),e13)
| ~ spl0_29 ),
inference(superposition,[],[f129,f295]) ).
fof(f2277,plain,
( e20 = h(e13)
| ~ spl0_29 ),
inference(superposition,[],[f124,f295]) ).
fof(f2278,plain,
( op1(e10,e13) = j(op2(e24,e20))
| ~ spl0_29
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2276,f367]) ).
fof(f2279,plain,
( op1(e10,e13) = j(e23)
| ~ spl0_29
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2278,f84]) ).
fof(f2280,plain,
( e14 = op1(e10,e13)
| ~ spl0_29
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2279,f362]) ).
fof(f2281,plain,
( e11 = e14
| ~ spl0_29
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2280,f76]) ).
fof(f2282,plain,
( $false
| ~ spl0_29
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2281,f13]) ).
fof(f2283,plain,
( ~ spl0_29
| ~ spl0_45
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2282]) ).
fof(f2293,plain,
( e12 = op1(e10,e13)
| ~ spl0_29
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2279,f354]) ).
fof(f2306,plain,
( e11 = e12
| ~ spl0_29
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2293,f76]) ).
fof(f2307,plain,
( $false
| ~ spl0_29
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2306,f15]) ).
fof(f2308,plain,
( ~ spl0_29
| ~ spl0_43
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2307]) ).
fof(f2312,plain,
( e12 = e14
| ~ spl0_28
| ~ spl0_30 ),
inference(forward_demodulation,[],[f299,f291]) ).
fof(f2325,plain,
( $false
| ~ spl0_28
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f2312,f11]) ).
fof(f2326,plain,
( ~ spl0_28
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f2325]) ).
fof(f2330,plain,
( e10 = e12
| ~ spl0_12
| ~ spl0_31 ),
inference(forward_demodulation,[],[f2268,f304]) ).
fof(f2341,plain,
( $false
| ~ spl0_12
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f2330,f18]) ).
fof(f2342,plain,
( ~ spl0_12
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f2341]) ).
fof(f2367,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f2369,plain,
( op1(e10,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2367,f367]) ).
fof(f2370,plain,
( op1(e10,e12) = j(e22)
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2369,f83]) ).
fof(f2371,plain,
( e13 = op1(e10,e12)
| ~ spl0_33
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2370,f337]) ).
fof(f2372,plain,
( e10 = e13
| ~ spl0_33
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2371,f77]) ).
fof(f2373,plain,
( $false
| ~ spl0_33
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2372,f17]) ).
fof(f2374,plain,
( ~ spl0_33
| ~ spl0_39
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2373]) ).
fof(f2396,plain,
( j(op2(e24,e20)) = op1(j(e24),e12)
| ~ spl0_28 ),
inference(superposition,[],[f129,f291]) ).
fof(f2398,plain,
( op1(e10,e12) = j(op2(e24,e20))
| ~ spl0_28
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2396,f367]) ).
fof(f2399,plain,
( op1(e10,e12) = j(e23)
| ~ spl0_28
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2398,f84]) ).
fof(f2400,plain,
( e14 = op1(e10,e12)
| ~ spl0_28
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2399,f362]) ).
fof(f2401,plain,
( e10 = e14
| ~ spl0_28
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2400,f77]) ).
fof(f2402,plain,
( $false
| ~ spl0_28
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2401,f16]) ).
fof(f2403,plain,
( ~ spl0_28
| ~ spl0_45
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2402]) ).
fof(f2425,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f2427,plain,
( op1(e10,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2425,f367]) ).
fof(f2428,plain,
( op1(e10,e11) = j(e22)
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2427,f83]) ).
fof(f2429,plain,
( e13 = op1(e10,e11)
| ~ spl0_32
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2428,f337]) ).
fof(f2430,plain,
( e12 = e13
| ~ spl0_32
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2429,f78]) ).
fof(f2431,plain,
( $false
| ~ spl0_32
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2430,f12]) ).
fof(f2432,plain,
( ~ spl0_32
| ~ spl0_39
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2431]) ).
fof(f2456,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f2458,plain,
( op1(e10,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2456,f367]) ).
fof(f2459,plain,
( op1(e10,e11) = j(e20)
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2458,f82]) ).
fof(f2460,plain,
( e14 = op1(e10,e11)
| ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2459,f299]) ).
fof(f2461,plain,
( e12 = e14
| ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2460,f78]) ).
fof(f2462,plain,
( $false
| ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2461,f11]) ).
fof(f2463,plain,
( ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2462]) ).
fof(f2485,plain,
( e22 = e24
| ~ spl0_3
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f186]) ).
fof(f2487,plain,
( $false
| ~ spl0_3
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2485,f21]) ).
fof(f2488,plain,
( ~ spl0_3
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2487]) ).
fof(f2508,plain,
( e11 = j(e21)
| ~ spl0_7 ),
inference(superposition,[],[f118,f203]) ).
fof(f2516,plain,
( e13 = j(e23)
| ~ spl0_19 ),
inference(superposition,[],[f116,f253]) ).
fof(f2519,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f2521,plain,
( op1(e10,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2519,f367]) ).
fof(f2522,plain,
( op1(e10,e11) = j(e22)
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2521,f83]) ).
fof(f2525,plain,
( j(op2(e24,e22)) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f127,f333]) ).
fof(f2527,plain,
( op1(e10,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2525,f367]) ).
fof(f2528,plain,
( op1(e10,e12) = j(e20)
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2527,f82]) ).
fof(f2529,plain,
( e14 = op1(e10,e12)
| ~ spl0_30
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2528,f299]) ).
fof(f2530,plain,
( e10 = e14
| ~ spl0_30
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2529,f77]) ).
fof(f2531,plain,
( $false
| ~ spl0_30
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2530,f16]) ).
fof(f2532,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2531]) ).
fof(f2538,plain,
( e14 = op1(e10,e11)
| ~ spl0_32
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2522,f341]) ).
fof(f2545,plain,
( e12 = e14
| ~ spl0_32
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2538,f78]) ).
fof(f2546,plain,
( $false
| ~ spl0_32
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2545,f11]) ).
fof(f2547,plain,
( ~ spl0_32
| ~ spl0_40
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2546]) ).
fof(f2555,plain,
( op1(e11,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2519,f371]) ).
fof(f2558,plain,
( op1(e11,e11) = j(e22)
| ~ spl0_32
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2555,f83]) ).
fof(f2560,plain,
( e13 = op1(e11,e11)
| ~ spl0_32
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2558,f337]) ).
fof(f2561,plain,
( e11 = e13
| ~ spl0_32
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2560,f73]) ).
fof(f2562,plain,
( $false
| ~ spl0_32
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2561,f14]) ).
fof(f2563,plain,
( ~ spl0_32
| ~ spl0_39
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2562]) ).
fof(f2596,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f2598,plain,
( op1(e11,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2596,f371]) ).
fof(f2599,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2598,f83]) ).
fof(f2600,plain,
( e13 = op1(e11,e10)
| ~ spl0_31
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2599,f337]) ).
fof(f2601,plain,
( e10 = e13
| ~ spl0_31
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2600,f74]) ).
fof(f2602,plain,
( $false
| ~ spl0_31
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2601,f17]) ).
fof(f2603,plain,
( ~ spl0_31
| ~ spl0_39
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2602]) ).
fof(f2622,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f2624,plain,
( op1(e11,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2622,f371]) ).
fof(f2625,plain,
( op1(e11,e12) = j(e22)
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2624,f83]) ).
fof(f2626,plain,
( e13 = op1(e11,e12)
| ~ spl0_33
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2625,f337]) ).
fof(f2627,plain,
( e12 = e13
| ~ spl0_33
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2626,f72]) ).
fof(f2628,plain,
( $false
| ~ spl0_33
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2627,f12]) ).
fof(f2629,plain,
( ~ spl0_33
| ~ spl0_39
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2628]) ).
fof(f2632,plain,
( e10 = e12
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_demodulation,[],[f291,f283]) ).
fof(f2641,plain,
( $false
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f2632,f18]) ).
fof(f2642,plain,
( ~ spl0_26
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f2641]) ).
fof(f2669,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(superposition,[],[f116,f245]) ).
fof(f2675,plain,
( j(op2(e24,e20)) = op1(j(e24),e10)
| ~ spl0_26 ),
inference(superposition,[],[f129,f283]) ).
fof(f2677,plain,
( op1(e11,e10) = j(op2(e24,e20))
| ~ spl0_26
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2675,f371]) ).
fof(f2678,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_26
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2677,f84]) ).
fof(f2679,plain,
( e14 = op1(e11,e10)
| ~ spl0_26
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2678,f362]) ).
fof(f2680,plain,
( e10 = e14
| ~ spl0_26
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2679,f74]) ).
fof(f2681,plain,
( $false
| ~ spl0_26
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2680,f16]) ).
fof(f2682,plain,
( ~ spl0_26
| ~ spl0_45
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2681]) ).
fof(f2687,plain,
( $false
| spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f2277,f240]) ).
fof(f2688,plain,
( spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f2687]) ).
fof(f2704,plain,
( e20 = e21
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f241,f245]) ).
fof(f2709,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2704,f29]) ).
fof(f2710,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f2709]) ).
fof(f2719,plain,
( j(op2(e24,e20)) = op1(j(e24),e13)
| ~ spl0_29 ),
inference(superposition,[],[f129,f295]) ).
fof(f2721,plain,
( op1(e11,e13) = j(op2(e24,e20))
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2719,f371]) ).
fof(f2722,plain,
( op1(e11,e13) = j(e23)
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2721,f84]) ).
fof(f2723,plain,
( e14 = op1(e11,e13)
| ~ spl0_29
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2722,f362]) ).
fof(f2724,plain,
( e13 = e14
| ~ spl0_29
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2723,f71]) ).
fof(f2725,plain,
( $false
| ~ spl0_29
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2724,f10]) ).
fof(f2726,plain,
( ~ spl0_29
| ~ spl0_45
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2725]) ).
fof(f2731,plain,
( e12 = e13
| ~ spl0_17
| ~ spl0_33 ),
inference(forward_demodulation,[],[f2669,f312]) ).
fof(f2749,plain,
( $false
| ~ spl0_17
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f2731,f12]) ).
fof(f2750,plain,
( ~ spl0_17
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f2749]) ).
fof(f2794,plain,
( j(op2(e24,e22)) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f127,f333]) ).
fof(f2796,plain,
( op1(e11,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2794,f371]) ).
fof(f2797,plain,
( op1(e11,e12) = j(e20)
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2796,f82]) ).
fof(f2798,plain,
( e14 = op1(e11,e12)
| ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2797,f299]) ).
fof(f2799,plain,
( e12 = e14
| ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2798,f72]) ).
fof(f2800,plain,
( $false
| ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2799,f11]) ).
fof(f2801,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2800]) ).
fof(f2820,plain,
( j(op2(e24,e22)) = op1(j(e24),e10)
| ~ spl0_36 ),
inference(superposition,[],[f127,f325]) ).
fof(f2822,plain,
( op1(e11,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2820,f371]) ).
fof(f2823,plain,
( op1(e11,e10) = j(e20)
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2822,f82]) ).
fof(f2824,plain,
( e14 = op1(e11,e10)
| ~ spl0_30
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2823,f299]) ).
fof(f2825,plain,
( e10 = e14
| ~ spl0_30
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2824,f74]) ).
fof(f2826,plain,
( $false
| ~ spl0_30
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2825,f16]) ).
fof(f2827,plain,
( ~ spl0_30
| ~ spl0_36
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2826]) ).
fof(f2830,plain,
( e12 = e13
| ~ spl0_19
| ~ spl0_43 ),
inference(forward_demodulation,[],[f442,f354]) ).
fof(f2834,plain,
( e12 = e13
| ~ spl0_19
| ~ spl0_43 ),
inference(forward_demodulation,[],[f2516,f354]) ).
fof(f2845,plain,
( $false
| ~ spl0_19
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f2830,f12]) ).
fof(f2846,plain,
( ~ spl0_19
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f2845]) ).
fof(f2853,plain,
( $false
| ~ spl0_19
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f2834,f12]) ).
fof(f2854,plain,
( ~ spl0_19
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f2853]) ).
fof(f2862,plain,
( e10 = e11
| ~ spl0_7
| ~ spl0_31 ),
inference(forward_demodulation,[],[f2508,f304]) ).
fof(f2887,plain,
( $false
| ~ spl0_7
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f2862,f19]) ).
fof(f2888,plain,
( ~ spl0_7
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f2887]) ).
fof(f2912,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f2915,plain,
( op1(e11,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2912,f371]) ).
fof(f2916,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2915,f83]) ).
fof(f2917,plain,
( e14 = op1(e11,e10)
| ~ spl0_31
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2916,f341]) ).
fof(f2918,plain,
( e10 = e14
| ~ spl0_31
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2917,f74]) ).
fof(f2919,plain,
( $false
| ~ spl0_31
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2918,f16]) ).
fof(f2920,plain,
( ~ spl0_31
| ~ spl0_40
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2919]) ).
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(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(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(s45,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_46 ),
inference(sat_conversion,[],[f574]) ).
cnf(s48,plain,
( ~ spl0_15
| ~ spl0_46 ),
inference(sat_conversion,[],[f591]) ).
cnf(s49,plain,
( spl0_13
| ~ spl0_38 ),
inference(sat_conversion,[],[f604]) ).
cnf(s55,plain,
( ~ spl0_35
| ~ spl0_41
| ~ spl0_48 ),
inference(sat_conversion,[],[f633]) ).
cnf(s56,plain,
( ~ spl0_35
| ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f640]) ).
cnf(s58,plain,
( ~ spl0_5
| spl0_46 ),
inference(sat_conversion,[],[f649]) ).
cnf(s59,plain,
( ~ spl0_6
| spl0_27 ),
inference(sat_conversion,[],[f650]) ).
cnf(s62,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_46 ),
inference(sat_conversion,[],[f684]) ).
cnf(s63,plain,
( ~ spl0_4
| spl0_41 ),
inference(sat_conversion,[],[f685]) ).
cnf(s66,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f696]) ).
cnf(s68,plain,
( ~ spl0_15
| spl0_48 ),
inference(sat_conversion,[],[f715]) ).
cnf(s69,plain,
( ~ spl0_3
| spl0_36 ),
inference(sat_conversion,[],[f718]) ).
cnf(s71,plain,
( ~ spl0_14
| spl0_43 ),
inference(sat_conversion,[],[f721]) ).
cnf(s73,plain,
( ~ spl0_7
| ~ spl0_37 ),
inference(sat_conversion,[],[f735]) ).
cnf(s76,plain,
( spl0_8
| ~ spl0_37 ),
inference(sat_conversion,[],[f740]) ).
cnf(s78,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(sat_conversion,[],[f743]) ).
cnf(s80,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(sat_conversion,[],[f765]) ).
cnf(s84,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f789]) ).
cnf(s91,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f824]) ).
cnf(s93,plain,
( ~ spl0_29
| ~ spl0_36
| ~ spl0_48 ),
inference(sat_conversion,[],[f850]) ).
cnf(s97,plain,
( ~ spl0_17
| spl0_34 ),
inference(sat_conversion,[],[f865]) ).
cnf(s100,plain,
( spl0_6
| ~ spl0_27 ),
inference(sat_conversion,[],[f885]) ).
cnf(s101,plain,
( ~ spl0_30
| ~ spl0_36
| ~ spl0_48 ),
inference(sat_conversion,[],[f898]) ).
cnf(s107,plain,
( ~ spl0_6
| ~ spl0_42 ),
inference(sat_conversion,[],[f920]) ).
cnf(s109,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(sat_conversion,[],[f940]) ).
cnf(s113,plain,
( ~ spl0_19
| spl0_44 ),
inference(sat_conversion,[],[f950]) ).
cnf(s115,plain,
( spl0_12
| ~ spl0_33 ),
inference(sat_conversion,[],[f971]) ).
cnf(s116,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f973]) ).
cnf(s117,plain,
( ~ spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f977]) ).
cnf(s120,plain,
( ~ spl0_12
| ~ spl0_48 ),
inference(sat_conversion,[],[f993]) ).
cnf(s121,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f1003]) ).
cnf(s125,plain,
( ~ spl0_6
| ~ spl0_32 ),
inference(sat_conversion,[],[f1012]) ).
cnf(s126,plain,
( spl0_1
| ~ spl0_26 ),
inference(sat_conversion,[],[f1025]) ).
cnf(s132,plain,
( ~ spl0_13
| spl0_38 ),
inference(sat_conversion,[],[f1063]) ).
cnf(s135,plain,
( ~ spl0_23
| spl0_40 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s138,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f1105]) ).
cnf(s139,plain,
( ~ spl0_2
| spl0_31 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s143,plain,
( ~ spl0_1
| ~ spl0_31 ),
inference(sat_conversion,[],[f1117]) ).
cnf(s144,plain,
( spl0_17
| ~ spl0_34 ),
inference(sat_conversion,[],[f1120]) ).
cnf(s151,plain,
( ~ spl0_39
| ~ spl0_40 ),
inference(sat_conversion,[],[f1157]) ).
cnf(s153,plain,
( ~ spl0_26
| ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f1208]) ).
cnf(s158,plain,
( ~ spl0_24
| ~ spl0_42 ),
inference(sat_conversion,[],[f1227]) ).
cnf(s163,plain,
( ~ spl0_24
| ~ spl0_43 ),
inference(sat_conversion,[],[f1247]) ).
cnf(s175,plain,
( ~ spl0_31
| ~ spl0_39
| ~ spl0_48 ),
inference(sat_conversion,[],[f1306]) ).
cnf(s187,plain,
( ~ spl0_30
| ~ spl0_39
| ~ spl0_48 ),
inference(sat_conversion,[],[f1333]) ).
cnf(s192,plain,
( ~ spl0_17
| ~ spl0_32 ),
inference(sat_conversion,[],[f1357]) ).
cnf(s199,plain,
( ~ spl0_34
| ~ spl0_41
| ~ spl0_48 ),
inference(sat_conversion,[],[f1373]) ).
cnf(s200,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_48 ),
inference(sat_conversion,[],[f1376]) ).
cnf(s206,plain,
( ~ spl0_24
| spl0_45 ),
inference(sat_conversion,[],[f1378]) ).
cnf(s209,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f1399]) ).
cnf(s231,plain,
( ~ spl0_44
| ~ spl0_45 ),
inference(sat_conversion,[],[f1453]) ).
cnf(s234,plain,
( ~ spl0_31
| ~ spl0_40
| ~ spl0_48 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s239,plain,
( ~ spl0_30
| ~ spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f1489]) ).
cnf(s240,plain,
( ~ spl0_1
| spl0_26 ),
inference(sat_conversion,[],[f1490]) ).
cnf(s252,plain,
( ~ spl0_8
| ~ spl0_42 ),
inference(sat_conversion,[],[f1527]) ).
cnf(s253,plain,
( ~ spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f1534]) ).
cnf(s255,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(sat_conversion,[],[f1540]) ).
cnf(s264,plain,
( ~ spl0_29
| ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f1567]) ).
cnf(s274,plain,
( ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(sat_conversion,[],[f1589]) ).
cnf(s284,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f1638]) ).
cnf(s290,plain,
( ~ spl0_25
| spl0_50 ),
inference(sat_conversion,[],[f1643]) ).
cnf(s307,plain,
( ~ spl0_28
| ~ spl0_36
| ~ spl0_47 ),
inference(sat_conversion,[],[f1762]) ).
cnf(s308,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(sat_conversion,[],[f1764]) ).
cnf(s313,plain,
( ~ spl0_28
| ~ spl0_44
| ~ spl0_46 ),
inference(sat_conversion,[],[f1786]) ).
cnf(s314,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_46 ),
inference(sat_conversion,[],[f1788]) ).
cnf(s321,plain,
( ~ spl0_20
| spl0_49 ),
inference(sat_conversion,[],[f1810]) ).
cnf(s325,plain,
( ~ spl0_11
| ~ spl0_43 ),
inference(sat_conversion,[],[f1826]) ).
cnf(s327,plain,
( spl0_11
| ~ spl0_28 ),
inference(sat_conversion,[],[f1834]) ).
cnf(s328,plain,
~ spl0_49,
inference(sat_conversion,[],[f1896]) ).
cnf(s338,plain,
( ~ spl0_26
| ~ spl0_42
| ~ spl0_47 ),
inference(sat_conversion,[],[f1917]) ).
cnf(s362,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f1977]) ).
cnf(s372,plain,
~ spl0_50,
inference(sat_conversion,[],[f2068]) ).
cnf(s381,plain,
( ~ spl0_33
| ~ spl0_40
| ~ spl0_47 ),
inference(sat_conversion,[],[f2092]) ).
cnf(s382,plain,
( ~ spl0_1
| ~ spl0_46 ),
inference(sat_conversion,[],[f2102]) ).
cnf(s383,plain,
( ~ spl0_27
| ~ spl0_44
| ~ spl0_46 ),
inference(sat_conversion,[],[f2113]) ).
cnf(s384,plain,
( ~ spl0_33
| ~ spl0_40
| ~ spl0_46 ),
inference(sat_conversion,[],[f2115]) ).
cnf(s385,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(sat_conversion,[],[f2117]) ).
cnf(s393,plain,
( ~ spl0_1
| ~ spl0_41 ),
inference(sat_conversion,[],[f2143]) ).
cnf(s394,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(sat_conversion,[],[f2169]) ).
cnf(s395,plain,
( ~ spl0_4
| ~ spl0_46 ),
inference(sat_conversion,[],[f2178]) ).
cnf(s396,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_46 ),
inference(sat_conversion,[],[f2185]) ).
cnf(s400,plain,
( ~ spl0_27
| ~ spl0_45
| ~ spl0_46 ),
inference(sat_conversion,[],[f2197]) ).
cnf(s401,plain,
( ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(sat_conversion,[],[f2199]) ).
cnf(s409,plain,
( spl0_4
| ~ spl0_41 ),
inference(sat_conversion,[],[f2209]) ).
cnf(s413,plain,
( ~ spl0_23
| ~ spl0_38 ),
inference(sat_conversion,[],[f2230]) ).
cnf(s418,plain,
( spl0_3
| ~ spl0_36 ),
inference(sat_conversion,[],[f2238]) ).
cnf(s423,plain,
( ~ spl0_12
| ~ spl0_32 ),
inference(sat_conversion,[],[f2251]) ).
cnf(s431,plain,
( ~ spl0_29
| ~ spl0_45
| ~ spl0_46 ),
inference(sat_conversion,[],[f2283]) ).
cnf(s441,plain,
( ~ spl0_29
| ~ spl0_43
| ~ spl0_46 ),
inference(sat_conversion,[],[f2308]) ).
cnf(s453,plain,
( ~ spl0_28
| ~ spl0_30 ),
inference(sat_conversion,[],[f2326]) ).
cnf(s457,plain,
( ~ spl0_12
| ~ spl0_31 ),
inference(sat_conversion,[],[f2342]) ).
cnf(s463,plain,
( ~ spl0_33
| ~ spl0_39
| ~ spl0_46 ),
inference(sat_conversion,[],[f2374]) ).
cnf(s475,plain,
( ~ spl0_28
| ~ spl0_45
| ~ spl0_46 ),
inference(sat_conversion,[],[f2403]) ).
cnf(s482,plain,
( ~ spl0_32
| ~ spl0_39
| ~ spl0_46 ),
inference(sat_conversion,[],[f2432]) ).
cnf(s490,plain,
( ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(sat_conversion,[],[f2463]) ).
cnf(s508,plain,
( ~ spl0_3
| ~ spl0_46 ),
inference(sat_conversion,[],[f2488]) ).
cnf(s522,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_46 ),
inference(sat_conversion,[],[f2532]) ).
cnf(s534,plain,
( ~ spl0_32
| ~ spl0_40
| ~ spl0_46 ),
inference(sat_conversion,[],[f2547]) ).
cnf(s539,plain,
( ~ spl0_32
| ~ spl0_39
| ~ spl0_47 ),
inference(sat_conversion,[],[f2563]) ).
cnf(s542,plain,
( ~ spl0_31
| ~ spl0_39
| ~ spl0_47 ),
inference(sat_conversion,[],[f2603]) ).
cnf(s552,plain,
( ~ spl0_33
| ~ spl0_39
| ~ spl0_47 ),
inference(sat_conversion,[],[f2629]) ).
cnf(s570,plain,
( ~ spl0_26
| ~ spl0_28 ),
inference(sat_conversion,[],[f2642]) ).
cnf(s584,plain,
( ~ spl0_26
| ~ spl0_45
| ~ spl0_47 ),
inference(sat_conversion,[],[f2682]) ).
cnf(s593,plain,
( spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f2688]) ).
cnf(s595,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f2710]) ).
cnf(s596,plain,
( ~ spl0_29
| ~ spl0_45
| ~ spl0_47 ),
inference(sat_conversion,[],[f2726]) ).
cnf(s603,plain,
( ~ spl0_17
| ~ spl0_33 ),
inference(sat_conversion,[],[f2750]) ).
cnf(s620,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(sat_conversion,[],[f2801]) ).
cnf(s633,plain,
( ~ spl0_30
| ~ spl0_36
| ~ spl0_47 ),
inference(sat_conversion,[],[f2827]) ).
cnf(s642,plain,
( ~ spl0_19
| ~ spl0_43 ),
inference(sat_conversion,[],[f2846]) ).
cnf(s646,plain,
( ~ spl0_19
| ~ spl0_43 ),
inference(sat_conversion,[],[f2854]) ).
cnf(s662,plain,
( ~ spl0_7
| ~ spl0_31 ),
inference(sat_conversion,[],[f2888]) ).
cnf(s664,plain,
( ~ spl0_31
| ~ spl0_40
| ~ spl0_47 ),
inference(sat_conversion,[],[f2920]) ).
cnf(s665,plain,
~ spl0_20,
inference(rat,[],[s321,s328]) ).
cnf(s666,plain,
~ spl0_25,
inference(rat,[],[s290,s372]) ).
cnf(s667,plain,
( spl0_46
| spl0_47
| spl0_48 ),
inference(rat,[],[s10,s372,s328]) ).
cnf(s668,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24 ),
inference(rat,[],[s5,s666]) ).
cnf(s669,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(rat,[],[s4,s665]) ).
cnf(s670,plain,
( spl0_12
| spl0_11
| ~ spl0_42
| spl0_32
| ~ spl0_46
| spl0_31 ),
inference(rat,[],[s401,s132,s7,s3,s115,s48,s62,s71,s78]) ).
cnf(s671,plain,
( ~ spl0_12
| spl0_37
| ~ spl0_46
| spl0_36 ),
inference(rat,[],[s8,s384,s463,s49,s117,s362]) ).
cnf(s672,plain,
( spl0_8
| spl0_7
| spl0_6
| ~ spl0_46
| spl0_36
| spl0_31 ),
inference(rat,[],[s668,s16,s135,s453,s396,s28,s7,s670,s115,s671,s26,s62,s158,s39,s2,s76,s32,s116]) ).
cnf(s673,plain,
( ~ spl0_29
| spl0_42
| spl0_32
| ~ spl0_46
| spl0_41
| spl0_31 ),
inference(rat,[],[s7,s314,s385,s144,s9,s595,s431,s441,s593]) ).
cnf(s674,plain,
( spl0_7
| spl0_6
| ~ spl0_46
| spl0_41
| spl0_36
| spl0_31
| spl0_26 ),
inference(rat,[],[s9,s325,s313,s327,s475,s6,s673,s490,s66,s252,s672,s116,s100]) ).
cnf(s675,plain,
( spl0_6
| ~ spl0_46
| spl0_41
| spl0_36
| spl0_31
| spl0_26 ),
inference(rat,[],[s6,s431,s475,s206,s668,s16,s522,s26,s8,s135,s80,s482,s534,s40,s73,s674,s100]) ).
cnf(s676,plain,
( ~ spl0_46
| spl0_41
| spl0_26
| spl0_36
| spl0_31 ),
inference(rat,[],[s7,s384,s396,s135,s668,s26,s45,s16,s9,s206,s17,s383,s400,s59,s107,s125,s675]) ).
cnf(s677,plain,
( spl0_4
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s676,s58,s1,s409,s126,s121,s418]) ).
cnf(s678,plain,
( ~ spl0_34
| ~ spl0_40
| spl0_46 ),
inference(rat,[],[s667,s200,s394]) ).
cnf(s679,plain,
( spl0_35
| spl0_21
| spl0_32
| ~ spl0_4
| spl0_31 ),
inference(rat,[],[s120,s667,s115,s381,s7,s678,s135,s668,s26,s395,s14,s63]) ).
cnf(s680,plain,
( ~ spl0_35
| ~ spl0_4 ),
inference(rat,[],[s667,s55,s56,s395,s63]) ).
cnf(s681,plain,
( spl0_33
| spl0_32
| ~ spl0_4
| spl0_31 ),
inference(rat,[],[s132,s620,s3,s667,s68,s199,s7,s117,s395,s30,s63,s28,s453,s16,s679,s680]) ).
cnf(s682,plain,
( spl0_32
| ~ spl0_4
| spl0_31 ),
inference(rat,[],[s552,s667,s253,s120,s669,s115,s603,s681,s18,s25,s16,s679,s395,s21,s63,s680]) ).
cnf(s683,plain,
( ~ spl0_23
| spl0_17
| spl0_12
| spl0_19
| spl0_14 ),
inference(rat,[],[s3,s68,s28,s274,s284,s18,s669,s253,s151,s132,s135,s413]) ).
cnf(s684,plain,
( ~ spl0_4
| spl0_31 ),
inference(rat,[],[s667,s187,s539,s253,s669,s18,s25,s16,s668,s683,s192,s423,s682,s26,s680,s14,s21,s30,s63,s395]) ).
cnf(s685,plain,
( spl0_33
| ~ spl0_24
| spl0_35
| spl0_32
| ~ spl0_36
| spl0_46
| spl0_31 ),
inference(rat,[],[s28,s307,s3,s667,s68,s209,s7,s117,s29,s206,s71,s163]) ).
cnf(s686,plain,
( ~ spl0_24
| spl0_35
| spl0_32
| ~ spl0_36
| spl0_46
| spl0_31 ),
inference(rat,[],[s596,s667,s18,s120,s669,s115,s603,s685,s113,s231,s206,s20]) ).
cnf(s687,plain,
( ~ spl0_30
| ~ spl0_3 ),
inference(rat,[],[s667,s101,s633,s508,s69]) ).
cnf(s688,plain,
( spl0_35
| spl0_32
| spl0_21
| ~ spl0_36
| spl0_46
| spl0_31 ),
inference(rat,[],[s668,s686,s26,s13]) ).
cnf(s689,plain,
( spl0_48
| ~ spl0_35
| ~ spl0_3 ),
inference(rat,[],[s3,s71,s28,s84,s307,s667,s68,s508,s29,s69,s117,s27]) ).
cnf(s690,plain,
( ~ spl0_35
| ~ spl0_3 ),
inference(rat,[],[s669,s113,s18,s91,s93,s689,s97,s109,s20,s69]) ).
cnf(s691,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s667,s264,s596,s18,s669,s113,s231,s206,s192,s668,s688,s26,s690,s16,s687,s13,s20,s69,s508,s677,s684,s121]) ).
cnf(s693,plain,
( ~ spl0_47
| spl0_21
| ~ spl0_31 ),
inference(rat,[],[s669,s18,s113,s596,s231,s206,s668,s253,s135,s542,s664,s19,s12]) ).
cnf(s694,plain,
( spl0_21
| spl0_46
| ~ spl0_31 ),
inference(rat,[],[s669,s18,s113,s264,s231,s206,s668,s253,s135,s175,s234,s667,s693,s19,s12]) ).
cnf(s695,plain,
( spl0_48
| spl0_46
| ~ spl0_31 ),
inference(rat,[],[s642,s71,s669,s3,s253,s132,s542,s620,s667,s68,s457,s19,s28,s453,s18,s25,s16,s694]) ).
cnf(s696,plain,
( spl0_46
| ~ spl0_31 ),
inference(rat,[],[s669,s113,s253,s239,s187,s695,s18,s25,s16,s694,s19]) ).
cnf(s697,plain,
( spl0_16
| spl0_18
| spl0_30
| spl0_1 ),
inference(rat,[],[s6,s313,s383,s113,s669,s593,s126,s19,s696,s139,s691]) ).
cnf(s698,plain,
( ~ spl0_23
| spl0_30
| spl0_1 ),
inference(rat,[],[s3,s28,s71,s284,s441,s18,s697,s253,s151,s132,s135,s413,s457,s48,s696,s139,s691]) ).
cnf(s699,plain,
( spl0_30
| spl0_1 ),
inference(rat,[],[s6,s400,s431,s475,s206,s668,s698,s16,s126,s12,s696,s139,s691]) ).
cnf(s700,plain,
spl0_1,
inference(rat,[],[s78,s39,s71,s2,s3,s59,s28,s66,s132,s17,s453,s490,s522,s699,s32,s48,s696,s457,s662,s139,s691]) ).
cnf(s701,plain,
~ spl0_41,
inference(rat,[],[s393,s700]) ).
cnf(s702,plain,
~ spl0_46,
inference(rat,[],[s382,s700]) ).
cnf(s703,plain,
spl0_26,
inference(rat,[],[s240,s700]) ).
cnf(s704,plain,
~ spl0_31,
inference(rat,[],[s143,s700]) ).
cnf(s710,plain,
~ spl0_28,
inference(rat,[],[s570,s703]) ).
cnf(s711,plain,
~ spl0_29,
inference(rat,[],[s36,s703]) ).
cnf(s712,plain,
~ spl0_21,
inference(rat,[],[s11,s703]) ).
cnf(s713,plain,
~ spl0_11,
inference(rat,[],[s28,s710]) ).
cnf(s714,plain,
~ spl0_16,
inference(rat,[],[s18,s711]) ).
cnf(s716,plain,
( ~ spl0_23
| spl0_48 ),
inference(rat,[],[s71,s646,s3,s669,s117,s97,s253,s381,s678,s151,s132,s135,s413,s68,s667,s713,s714,s702]) ).
cnf(s717,plain,
spl0_48,
inference(rat,[],[s9,s84,s308,s26,s668,s716,s206,s338,s584,s667,s701,s712,s703,s702]) ).
cnf(s720,plain,
~ spl0_12,
inference(rat,[],[s120,s717]) ).
cnf(s722,plain,
~ spl0_45,
inference(rat,[],[s153,s703,s717]) ).
cnf(s724,plain,
~ spl0_33,
inference(rat,[],[s115,s720]) ).
cnf(s726,plain,
~ spl0_24,
inference(rat,[],[s206,s722]) ).
cnf(s727,plain,
~ spl0_40,
inference(rat,[],[s7,s91,s138,s113,s669,s97,s253,s678,s151,s704,s724,s717,s714,s702]) ).
cnf(s728,plain,
~ spl0_23,
inference(rat,[],[s135,s727]) ).
cnf(s729,plain,
spl0_22,
inference(rat,[],[s668,s726,s712,s728]) ).
cnf(s730,plain,
spl0_35,
inference(rat,[],[s26,s729]) ).
cnf(s731,plain,
~ spl0_34,
inference(rat,[],[s109,s730]) ).
cnf(s733,plain,
~ spl0_39,
inference(rat,[],[s255,s717,s730]) ).
cnf(s734,plain,
~ spl0_44,
inference(rat,[],[s91,s717,s730]) ).
cnf(s735,plain,
~ spl0_17,
inference(rat,[],[s97,s731]) ).
cnf(s737,plain,
~ spl0_18,
inference(rat,[],[s253,s733]) ).
cnf(s739,plain,
~ spl0_19,
inference(rat,[],[s113,s734]) ).
cnf(s741,plain,
$false,
inference(rat,[],[s669,s714,s735,s737,s739]) ).
fof(f2921,plain,
$false,
inference(avatar_sat_refutation,[],[s741]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG184+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n005.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 19:39:47 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 0.48/0.30 % (1077311)Will run a generic schedule for satisfiability detection.
% 0.48/0.30 % (1077319)dis+10_1_sil=32000:sp=arity:random_seed=3551513323:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.48/0.30 % (1077317)% WARNING: option uhcvi not known.
% 0.48/0.30 % (1077316)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2931506272_2999 on theBenchmark for (2999ds/0Mi)
% 0.48/0.30 % (1077320)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2303541923:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.48/0.30 % (1077317)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=404127676:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.48/0.30 % (1077318)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=763179379:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.48/0.30 % (1077321)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4140405480:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.48/0.30 % (1077322)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=378510128:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.48/0.30 % Detected minimum model sizes of [10]
% 0.48/0.30 % Detected maximum model sizes of [max]
% 0.48/0.30 % TRYING [10]
% 0.48/0.30 % (1077319)Instruction limit reached!
% 0.48/0.30 % (1077319)------------------------------
% 0.48/0.30 % (1077319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.30 % (1077319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.30 % (1077319)CaDiCaL version: 2.1.3
% 0.48/0.30 % (1077319)Termination reason: Instruction limit
% 0.48/0.30 % (1077319)Termination phase: Saturation
% 0.48/0.30 % (1077319)Time elapsed: 0.028 s
% 0.48/0.30 % (1077319)Peak memory usage: 12 MB
% 0.48/0.30 % (1077319)Instructions burned: 103 (million)
% 0.48/0.30 % (1077330)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3351941709:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.48/0.30 % Detected minimum model sizes of [10]
% 0.48/0.30 % Detected maximum model sizes of [max]
% 0.48/0.30 % TRYING [10]
% 0.48/0.30 % (1077320) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1077311-1077320"...
% 0.48/0.30 % (1077320)...printing done.
% 0.48/0.30 % (1077320)Refutation found. Thanks to Tanya!
% 0.48/0.30 % SZS status Theorem for theBenchmark
% 0.48/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.48/0.32 % (1077320)------------------------------
% 0.48/0.32 % (1077320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.32 % (1077320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.32 % (1077320)CaDiCaL version: 2.1.3
% 0.48/0.32 % (1077320)Termination reason: Refutation
% 0.48/0.32 % (1077320)Time elapsed: 0.053 s
% 0.48/0.32 % (1077320)Peak memory usage: 13 MB
% 0.48/0.32 % (1077320)Instructions burned: 100 (million)
% 0.48/0.32 % (1077311)Success in time 0.093 s
% 0.48/0.32 % Vampire exiting
%------------------------------------------------------------------------------