%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG079+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 : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:21:21 AM UTC 2026
% Result : Theorem 0.46s 0.29s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 55
% Syntax : Number of formulae : 981 ( 78 unt; 50 def)
% Number of atoms : 3020 (1039 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 3620 (1581 ~;1647 |; 340 &)
% ( 50 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 52 ( 50 usr; 51 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e10,e14) = e14
& op1(e11,e10) = e11
& op1(e11,e11) = e10
& op1(e11,e12) = e14
& op1(e11,e13) = e12
& op1(e11,e14) = e13
& op1(e12,e10) = e12
& op1(e12,e11) = e14
& op1(e12,e12) = e13
& op1(e12,e13) = e10
& op1(e12,e14) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e11
& op1(e13,e13) = e14
& op1(e13,e14) = e10
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e10
& op1(e14,e13) = e11
& op1(e14,e14) = e12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e20,e24) = e24
& op2(e21,e20) = e21
& op2(e21,e21) = e22
& op2(e21,e22) = e23
& op2(e21,e23) = e24
& op2(e21,e24) = e20
& op2(e22,e20) = e22
& op2(e22,e21) = e24
& op2(e22,e22) = e21
& op2(e22,e23) = e20
& op2(e22,e24) = e23
& op2(e23,e20) = e23
& op2(e23,e21) = e20
& op2(e23,e22) = e24
& op2(e23,e23) = e21
& op2(e23,e24) = e22
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e20
& op2(e24,e23) = e22
& op2(e24,e24) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
e12 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f12,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f14,plain,
e11 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f15,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f16,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f17,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
e23 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f25,plain,
e21 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
e20 != e21,
inference(cnf_transformation,[],[f2]) ).
fof(f55,plain,
e12 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f56,plain,
e11 = op1(e14,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f57,plain,
e10 = op1(e14,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f58,plain,
e13 = op1(e14,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f60,plain,
e10 = op1(e13,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f62,plain,
e11 = op1(e13,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f63,plain,
e12 = op1(e13,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f65,plain,
e11 = op1(e12,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f66,plain,
e10 = op1(e12,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f67,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f69,plain,
e12 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f73,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f74,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f76,plain,
e13 = op1(e10,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f77,plain,
e12 = op1(e10,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f78,plain,
e11 = op1(e10,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f79,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f80,plain,
e21 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e22 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
e20 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
e23 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
e24 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(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(f190,plain,
( e23 = h(e10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl0_5
<=> e24 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f194,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f105,f192,f188,f184,f180,f176]) ).
fof(f197,definition,
( spl0_6
<=> e20 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f199,plain,
( e20 = h(e11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl0_7
<=> e21 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f202,plain,
( e21 != h(e11)
| spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f203,plain,
( e21 = h(e11)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl0_8
<=> e22 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f207,plain,
( e22 = h(e11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_9
<=> e23 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f210,plain,
( e23 != h(e11)
| spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f211,plain,
( e23 = h(e11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_10
<=> e24 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f215,plain,
( e24 = h(e11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f106,f213,f209,f205,f201,f197]) ).
fof(f218,definition,
( spl0_11
<=> e20 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f219,plain,
( e20 != h(e12)
| spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( e20 = h(e12)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_12
<=> e21 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(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(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(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(f252,plain,
( e23 != h(e13)
| spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( e23 = h(e13)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_20
<=> e24 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f257,plain,
( e24 = h(e13)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f108,f255,f251,f247,f243,f239]) ).
fof(f260,definition,
( spl0_21
<=> e20 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(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(f273,plain,
( e23 != h(e14)
| spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f274,plain,
( e23 = h(e14)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl0_25
<=> e24 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f278,plain,
( e24 = h(e14)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f109,f276,f272,f268,f264,f260]) ).
fof(f281,definition,
( spl0_26
<=> e10 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f283,plain,
( e10 = j(e20)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl0_27
<=> e11 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f286,plain,
( e11 != j(e20)
| spl0_27 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f287,plain,
( e11 = j(e20)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f289,definition,
( spl0_28
<=> e12 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f291,plain,
( e12 = j(e20)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,definition,
( spl0_29
<=> e13 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f295,plain,
( e13 = j(e20)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl0_30
<=> e14 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f299,plain,
( e14 = j(e20)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f110,f297,f293,f289,f285,f281]) ).
fof(f302,definition,
( spl0_31
<=> e10 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f304,plain,
( e10 = j(e21)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl0_32
<=> e11 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f308,plain,
( e11 = j(e21)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl0_33
<=> e12 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f311,plain,
( e12 != j(e21)
| spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f312,plain,
( e12 = j(e21)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl0_34
<=> e13 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f316,plain,
( e13 = j(e21)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl0_35
<=> e14 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f320,plain,
( e14 = j(e21)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f111,f318,f314,f310,f306,f302]) ).
fof(f323,definition,
( spl0_36
<=> e10 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f325,plain,
( e10 = j(e22)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl0_37
<=> e11 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f329,plain,
( e11 = j(e22)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl0_38
<=> e12 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f333,plain,
( e12 = j(e22)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl0_39
<=> e13 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f336,plain,
( e13 != j(e22)
| spl0_39 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f337,plain,
( e13 = j(e22)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl0_40
<=> e14 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f341,plain,
( e14 = j(e22)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f112,f339,f335,f331,f327,f323]) ).
fof(f344,definition,
( spl0_41
<=> e10 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f346,plain,
( e10 = j(e23)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f348,definition,
( spl0_42
<=> e11 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f350,plain,
( e11 = j(e23)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f352,definition,
( spl0_43
<=> e12 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f354,plain,
( e12 = j(e23)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f356,definition,
( spl0_44
<=> e13 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f358,plain,
( e13 = j(e23)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl0_45
<=> e14 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f362,plain,
( e14 = j(e23)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f113,f360,f356,f352,f348,f344]) ).
fof(f365,definition,
( spl0_46
<=> e10 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f367,plain,
( e10 = j(e24)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl0_47
<=> e11 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f371,plain,
( e11 = j(e24)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f373,definition,
( spl0_48
<=> e12 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f375,plain,
( e12 = j(e24)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f377,definition,
( spl0_49
<=> e13 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f379,plain,
( e13 = j(e24)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f381,definition,
( spl0_50
<=> e14 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f383,plain,
( e14 = j(e24)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f384,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f114,f381,f377,f373,f369,f365]) ).
fof(f385,plain,
( e14 = j(e20)
| ~ spl0_21 ),
inference(superposition,[],[f115,f262]) ).
fof(f386,plain,
( e10 = e14
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f385,f283]) ).
fof(f387,plain,
( $false
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f386,f16]) ).
fof(f388,plain,
( ~ spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f390,plain,
( e14 = j(e21)
| ~ spl0_22 ),
inference(superposition,[],[f115,f266]) ).
fof(f391,plain,
( e10 = e14
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_demodulation,[],[f390,f304]) ).
fof(f392,plain,
( $false
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f391,f16]) ).
fof(f393,plain,
( ~ spl0_22
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f396,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f397,plain,
( e10 = e14
| ~ spl0_23
| ~ spl0_36 ),
inference(forward_demodulation,[],[f396,f325]) ).
fof(f398,plain,
( $false
| ~ spl0_23
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f397,f16]) ).
fof(f399,plain,
( ~ spl0_23
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f403,plain,
( e14 = j(e23)
| ~ spl0_24 ),
inference(superposition,[],[f115,f274]) ).
fof(f404,plain,
( e10 = e14
| ~ spl0_24
| ~ spl0_41 ),
inference(forward_demodulation,[],[f403,f346]) ).
fof(f405,plain,
( $false
| ~ spl0_24
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f404,f16]) ).
fof(f406,plain,
( ~ spl0_24
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f411,plain,
( e14 = j(e24)
| ~ spl0_25 ),
inference(superposition,[],[f115,f278]) ).
fof(f412,plain,
( e10 = e14
| ~ spl0_25
| ~ spl0_46 ),
inference(forward_demodulation,[],[f411,f367]) ).
fof(f413,plain,
( $false
| ~ spl0_25
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f412,f16]) ).
fof(f414,plain,
( ~ spl0_25
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f415,plain,
( spl0_30
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f385,f260,f297]) ).
fof(f417,plain,
( e11 = e14
| ~ spl0_27
| ~ spl0_30 ),
inference(forward_demodulation,[],[f299,f287]) ).
fof(f418,plain,
( $false
| ~ spl0_27
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f417,f13]) ).
fof(f419,plain,
( ~ spl0_27
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f426,plain,
( e13 = j(e20)
| ~ spl0_16 ),
inference(superposition,[],[f116,f241]) ).
fof(f427,plain,
( spl0_29
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f426,f239,f293]) ).
fof(f429,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(superposition,[],[f116,f245]) ).
fof(f430,plain,
( e10 = e13
| ~ spl0_17
| ~ spl0_31 ),
inference(forward_demodulation,[],[f429,f304]) ).
fof(f431,plain,
( $false
| ~ spl0_17
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f430,f17]) ).
fof(f432,plain,
( ~ spl0_17
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f435,plain,
( e13 = j(e22)
| ~ spl0_18 ),
inference(superposition,[],[f116,f249]) ).
fof(f436,plain,
( e10 = e13
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_demodulation,[],[f435,f325]) ).
fof(f437,plain,
( $false
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f436,f17]) ).
fof(f438,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f442,plain,
( e13 = j(e23)
| ~ spl0_19 ),
inference(superposition,[],[f116,f253]) ).
fof(f443,plain,
( e10 = e13
| ~ spl0_19
| ~ spl0_41 ),
inference(forward_demodulation,[],[f442,f346]) ).
fof(f444,plain,
( $false
| ~ spl0_19
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f443,f17]) ).
fof(f445,plain,
( ~ spl0_19
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f450,plain,
( e13 = j(e24)
| ~ spl0_20 ),
inference(superposition,[],[f116,f257]) ).
fof(f459,plain,
( e13 = e14
| ~ spl0_29
| ~ spl0_30 ),
inference(superposition,[],[f295,f299]) ).
fof(f460,plain,
( e13 = e14
| ~ spl0_29
| ~ spl0_30 ),
inference(superposition,[],[f299,f295]) ).
fof(f463,plain,
( $false
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f460,f10]) ).
fof(f464,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f463]) ).
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(f494,plain,
( $false
| ~ spl0_6
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f493,f286]) ).
fof(f495,plain,
( ~ spl0_6
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f497,plain,
( e11 = j(e24)
| ~ spl0_10 ),
inference(superposition,[],[f118,f215]) ).
fof(f498,plain,
( e10 = e11
| ~ spl0_10
| ~ spl0_46 ),
inference(forward_demodulation,[],[f497,f367]) ).
fof(f499,plain,
( $false
| ~ spl0_10
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f498,f19]) ).
fof(f500,plain,
( ~ spl0_10
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f502,plain,
( e10 = j(e21)
| ~ spl0_2 ),
inference(superposition,[],[f119,f182]) ).
fof(f506,plain,
( e10 = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f119,f178]) ).
fof(f509,plain,
( e10 = e13
| ~ spl0_26
| ~ spl0_29 ),
inference(superposition,[],[f283,f295]) ).
fof(f514,plain,
( $false
| ~ spl0_26
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f509,f17]) ).
fof(f515,plain,
( ~ spl0_26
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f519,plain,
( e10 = j(e23)
| ~ spl0_4 ),
inference(superposition,[],[f119,f190]) ).
fof(f525,plain,
( e10 = j(e24)
| ~ spl0_5 ),
inference(superposition,[],[f119,f194]) ).
fof(f530,plain,
( e11 = j(e23)
| ~ spl0_9 ),
inference(superposition,[],[f118,f211]) ).
fof(f531,plain,
( spl0_42
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f530,f209,f348]) ).
fof(f535,plain,
( e11 = j(e21)
| ~ spl0_7 ),
inference(superposition,[],[f118,f203]) ).
fof(f536,plain,
( spl0_32
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f535,f201,f306]) ).
fof(f541,plain,
( e11 = j(e22)
| ~ spl0_8 ),
inference(superposition,[],[f118,f207]) ).
fof(f542,plain,
( e10 = e11
| ~ spl0_8
| ~ spl0_36 ),
inference(forward_demodulation,[],[f541,f325]) ).
fof(f543,plain,
( $false
| ~ spl0_8
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f542,f19]) ).
fof(f544,plain,
( ~ spl0_8
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f543]) ).
fof(f553,plain,
( e24 = h(e10)
| ~ spl0_46 ),
inference(superposition,[],[f120,f367]) ).
fof(f555,plain,
( e22 = h(e11)
| ~ spl0_37 ),
inference(superposition,[],[f122,f329]) ).
fof(f557,plain,
( e20 = h(e13)
| ~ spl0_29 ),
inference(superposition,[],[f124,f295]) ).
fof(f558,plain,
( op1(e10,e10) = j(op2(e24,e24))
| ~ spl0_46 ),
inference(superposition,[],[f125,f367]) ).
fof(f559,plain,
( op1(e10,e10) = j(e21)
| ~ spl0_46 ),
inference(forward_demodulation,[],[f558,f80]) ).
fof(f560,plain,
( e14 = op1(e10,e10)
| ~ spl0_35
| ~ spl0_46 ),
inference(forward_demodulation,[],[f559,f320]) ).
fof(f561,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_46 ),
inference(forward_demodulation,[],[f560,f79]) ).
fof(f562,plain,
( $false
| ~ spl0_35
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f561,f16]) ).
fof(f563,plain,
( ~ spl0_35
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f564,plain,
( spl0_41
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f519,f188,f344]) ).
fof(f566,plain,
( e11 = e12
| ~ spl0_13
| ~ spl0_37 ),
inference(forward_demodulation,[],[f482,f329]) ).
fof(f571,plain,
( $false
| ~ spl0_13
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f566,f15]) ).
fof(f572,plain,
( ~ spl0_13
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f571]) ).
fof(f587,plain,
( e12 = j(e24)
| ~ spl0_15 ),
inference(superposition,[],[f117,f236]) ).
fof(f588,plain,
( spl0_48
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f587,f234,f373]) ).
fof(f589,plain,
( e12 = e13
| ~ spl0_28
| ~ spl0_29 ),
inference(superposition,[],[f291,f295]) ).
fof(f590,plain,
( e20 = h(e12)
| ~ spl0_28 ),
inference(superposition,[],[f124,f291]) ).
fof(f595,plain,
( $false
| spl0_11
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f590,f219]) ).
fof(f596,plain,
( spl0_11
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f595]) ).
fof(f597,plain,
( $false
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f589,f12]) ).
fof(f598,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f600,plain,
( e23 = h(e10)
| ~ spl0_41 ),
inference(superposition,[],[f121,f346]) ).
fof(f602,plain,
( op1(e12,e12) = j(op2(e24,e24))
| ~ spl0_48 ),
inference(superposition,[],[f125,f375]) ).
fof(f604,plain,
( op1(e12,e12) = j(e21)
| ~ spl0_48 ),
inference(forward_demodulation,[],[f602,f80]) ).
fof(f605,plain,
( e14 = op1(e12,e12)
| ~ spl0_35
| ~ spl0_48 ),
inference(forward_demodulation,[],[f604,f320]) ).
fof(f606,plain,
( e13 = e14
| ~ spl0_35
| ~ spl0_48 ),
inference(forward_demodulation,[],[f605,f67]) ).
fof(f607,plain,
( $false
| ~ spl0_35
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f606,f10]) ).
fof(f608,plain,
( ~ spl0_35
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f614,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
fof(f615,plain,
( $false
| ~ spl0_12
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f614,f311]) ).
fof(f616,plain,
( ~ spl0_12
| spl0_33 ),
inference(avatar_contradiction_clause,[],[f615]) ).
fof(f618,plain,
( spl0_43
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f488,f230,f352]) ).
fof(f625,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f119,f186]) ).
fof(f631,plain,
( e21 = e22
| ~ spl0_7
| ~ spl0_37 ),
inference(forward_demodulation,[],[f555,f203]) ).
fof(f632,plain,
( $false
| ~ spl0_7
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f631,f25]) ).
fof(f633,plain,
( ~ spl0_7
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f634,plain,
( spl0_47
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f497,f213,f369]) ).
fof(f637,plain,
( spl0_8
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f555,f327,f205]) ).
fof(f646,plain,
( e21 = h(e11)
| ~ spl0_32 ),
inference(superposition,[],[f123,f308]) ).
fof(f647,plain,
( e11 = e14
| ~ spl0_32
| ~ spl0_35 ),
inference(superposition,[],[f320,f308]) ).
fof(f650,plain,
( $false
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f647,f13]) ).
fof(f651,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f652,plain,
( $false
| spl0_7
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f646,f202]) ).
fof(f653,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f652]) ).
fof(f657,plain,
( e22 = h(e10)
| ~ spl0_36 ),
inference(superposition,[],[f122,f325]) ).
fof(f659,plain,
( e23 = h(e12)
| ~ spl0_43 ),
inference(superposition,[],[f121,f354]) ).
fof(f660,plain,
( e12 = e13
| ~ spl0_43
| ~ spl0_44 ),
inference(superposition,[],[f358,f354]) ).
fof(f663,plain,
( e23 = h(e13)
| ~ spl0_44 ),
inference(superposition,[],[f121,f358]) ).
fof(f664,plain,
( $false
| spl0_19
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f663,f252]) ).
fof(f665,plain,
( spl0_19
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f668,plain,
( $false
| ~ spl0_43
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f660,f12]) ).
fof(f669,plain,
( ~ spl0_43
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f672,plain,
( op1(e11,e11) = j(op2(e24,e24))
| ~ spl0_47 ),
inference(superposition,[],[f125,f371]) ).
fof(f673,plain,
( e24 = h(e11)
| ~ spl0_47 ),
inference(superposition,[],[f120,f371]) ).
fof(f674,plain,
( op1(e11,e11) = j(e21)
| ~ spl0_47 ),
inference(forward_demodulation,[],[f672,f80]) ).
fof(f675,plain,
( e14 = op1(e11,e11)
| ~ spl0_35
| ~ spl0_47 ),
inference(forward_demodulation,[],[f674,f320]) ).
fof(f676,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_47 ),
inference(forward_demodulation,[],[f675,f73]) ).
fof(f677,plain,
( $false
| ~ spl0_35
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f676,f16]) ).
fof(f678,plain,
( ~ spl0_35
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f679,plain,
( spl0_27
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f493,f197,f285]) ).
fof(f699,plain,
( e11 = e12
| ~ spl0_42
| ~ spl0_43 ),
inference(superposition,[],[f350,f354]) ).
fof(f705,plain,
( $false
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f699,f15]) ).
fof(f706,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f707,plain,
( spl0_38
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f482,f226,f331]) ).
fof(f723,plain,
( e10 = e11
| ~ spl0_41
| ~ spl0_42 ),
inference(superposition,[],[f346,f350]) ).
fof(f728,plain,
( $false
| ~ spl0_41
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f723,f19]) ).
fof(f729,plain,
( ~ spl0_41
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f730,plain,
( spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f506,f176,f281]) ).
fof(f750,plain,
( e20 = h(e10)
| ~ spl0_26 ),
inference(superposition,[],[f124,f283]) ).
fof(f753,plain,
( e24 = h(e13)
| ~ spl0_49 ),
inference(superposition,[],[f120,f379]) ).
fof(f757,plain,
( j(op2(e24,e23)) = op1(j(e24),e11)
| ~ spl0_42 ),
inference(superposition,[],[f126,f350]) ).
fof(f765,plain,
( j(op2(e24,e22)) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f127,f333]) ).
fof(f772,plain,
( j(op2(e24,e21)) = op1(e13,j(e21))
| ~ spl0_49 ),
inference(superposition,[],[f128,f379]) ).
fof(f775,plain,
( op1(e13,e14) = j(op2(e24,e21))
| ~ spl0_35
| ~ spl0_49 ),
inference(forward_demodulation,[],[f772,f320]) ).
fof(f777,plain,
( op1(e13,e14) = j(e23)
| ~ spl0_35
| ~ spl0_49 ),
inference(forward_demodulation,[],[f775,f83]) ).
fof(f779,plain,
( e11 = op1(e13,e14)
| ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f777,f350]) ).
fof(f781,plain,
( e10 = e11
| ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f779,f60]) ).
fof(f784,plain,
( $false
| ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f781,f19]) ).
fof(f785,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f784]) ).
fof(f807,plain,
( e14 = j(e24)
| ~ spl0_25 ),
inference(superposition,[],[f115,f278]) ).
fof(f820,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f821,plain,
( e21 = h(e12)
| ~ spl0_33 ),
inference(superposition,[],[f123,f312]) ).
fof(f823,plain,
( $false
| spl0_12
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f821,f223]) ).
fof(f824,plain,
( spl0_12
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f825,plain,
( op1(e14,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_50 ),
inference(forward_demodulation,[],[f820,f383]) ).
fof(f826,plain,
( op1(e14,e12) = j(e23)
| ~ spl0_33
| ~ spl0_50 ),
inference(forward_demodulation,[],[f825,f83]) ).
fof(f827,plain,
( e11 = op1(e14,e12)
| ~ spl0_33
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_demodulation,[],[f826,f350]) ).
fof(f828,plain,
( e10 = e11
| ~ spl0_33
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_demodulation,[],[f827,f57]) ).
fof(f829,plain,
( $false
| ~ spl0_33
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f828,f19]) ).
fof(f830,plain,
( ~ spl0_33
| ~ spl0_42
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f829]) ).
fof(f836,plain,
( e21 = h(e10)
| ~ spl0_31 ),
inference(superposition,[],[f123,f304]) ).
fof(f837,plain,
( e20 = e21
| ~ spl0_1
| ~ spl0_31 ),
inference(forward_demodulation,[],[f836,f178]) ).
fof(f839,plain,
( $false
| ~ spl0_1
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f837,f29]) ).
fof(f840,plain,
( ~ spl0_1
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f839]) ).
fof(f845,plain,
( $false
| spl0_1
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f750,f177]) ).
fof(f846,plain,
( spl0_1
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f856,plain,
( $false
| spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f557,f240]) ).
fof(f857,plain,
( spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f856]) ).
fof(f870,plain,
( e13 = e14
| ~ spl0_25
| ~ spl0_49 ),
inference(forward_demodulation,[],[f807,f379]) ).
fof(f876,plain,
( $false
| ~ spl0_25
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f870,f10]) ).
fof(f877,plain,
( ~ spl0_25
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f876]) ).
fof(f893,plain,
( e12 = e14
| ~ spl0_25
| ~ spl0_48 ),
inference(forward_demodulation,[],[f807,f375]) ).
fof(f901,plain,
( $false
| ~ spl0_25
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f893,f11]) ).
fof(f902,plain,
( ~ spl0_25
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f901]) ).
fof(f907,plain,
( e23 = e24
| ~ spl0_9
| ~ spl0_47 ),
inference(forward_demodulation,[],[f673,f211]) ).
fof(f916,plain,
( $false
| ~ spl0_9
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f907,f20]) ).
fof(f917,plain,
( ~ spl0_9
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f916]) ).
fof(f931,plain,
( e11 = e14
| ~ spl0_24
| ~ spl0_42 ),
inference(forward_demodulation,[],[f403,f350]) ).
fof(f933,plain,
( e21 = e24
| ~ spl0_2
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f182]) ).
fof(f938,plain,
( op1(e10,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f757,f367]) ).
fof(f941,plain,
( $false
| ~ spl0_24
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f931,f13]) ).
fof(f942,plain,
( ~ spl0_24
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f941]) ).
fof(f943,plain,
( $false
| ~ spl0_2
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f933,f23]) ).
fof(f944,plain,
( ~ spl0_2
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f943]) ).
fof(f945,plain,
( op1(e10,e11) = j(e22)
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f938,f81]) ).
fof(f948,plain,
( e12 = op1(e10,e11)
| ~ spl0_38
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f945,f333]) ).
fof(f951,plain,
( e11 = e12
| ~ spl0_38
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f948,f78]) ).
fof(f954,plain,
( $false
| ~ spl0_38
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f951,f15]) ).
fof(f955,plain,
( ~ spl0_38
| ~ spl0_42
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f954]) ).
fof(f960,plain,
( e12 = e13
| ~ spl0_18
| ~ spl0_38 ),
inference(forward_demodulation,[],[f435,f333]) ).
fof(f961,plain,
( spl0_50
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f411,f276,f381]) ).
fof(f966,plain,
( op1(e14,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_demodulation,[],[f765,f383]) ).
fof(f970,plain,
( $false
| ~ spl0_18
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f960,f12]) ).
fof(f971,plain,
( ~ spl0_18
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f970]) ).
fof(f973,plain,
( op1(e14,e12) = j(e20)
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_demodulation,[],[f966,f82]) ).
fof(f976,plain,
( e14 = op1(e14,e12)
| ~ spl0_30
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_demodulation,[],[f973,f299]) ).
fof(f978,plain,
( e10 = e14
| ~ spl0_30
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_demodulation,[],[f976,f57]) ).
fof(f979,plain,
( $false
| ~ spl0_30
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f978,f16]) ).
fof(f980,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f979]) ).
fof(f982,plain,
( spl0_34
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f429,f243,f314]) ).
fof(f1013,plain,
( op1(e14,e14) = j(op2(e24,e24))
| ~ spl0_50 ),
inference(superposition,[],[f125,f383]) ).
fof(f1014,plain,
( j(op2(e24,e23)) = op1(e14,j(e23))
| ~ spl0_50 ),
inference(superposition,[],[f126,f383]) ).
fof(f1021,plain,
( op1(e14,e14) = j(e21)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1013,f80]) ).
fof(f1025,plain,
( e13 = op1(e14,e14)
| ~ spl0_34
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1021,f316]) ).
fof(f1029,plain,
( e12 = e13
| ~ spl0_34
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1025,f55]) ).
fof(f1030,plain,
( $false
| ~ spl0_34
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1029,f12]) ).
fof(f1031,plain,
( ~ spl0_34
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1030]) ).
fof(f1033,plain,
( spl0_44
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f442,f251,f356]) ).
fof(f1037,plain,
( op1(e14,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1014,f358]) ).
fof(f1046,plain,
( op1(e14,e13) = j(e22)
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1037,f81]) ).
fof(f1048,plain,
( e12 = op1(e14,e13)
| ~ spl0_38
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1046,f333]) ).
fof(f1050,plain,
( e11 = e12
| ~ spl0_38
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1048,f56]) ).
fof(f1051,plain,
( $false
| ~ spl0_38
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1050,f15]) ).
fof(f1052,plain,
( ~ spl0_38
| ~ spl0_44
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1056,plain,
( spl0_45
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f403,f272,f360]) ).
fof(f1059,plain,
( e20 = e24
| ~ spl0_1
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f178]) ).
fof(f1075,plain,
( $false
| ~ spl0_1
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1059,f26]) ).
fof(f1076,plain,
( ~ spl0_1
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1075]) ).
fof(f1104,plain,
( j(op2(e24,e21)) = op1(j(e24),e13)
| ~ spl0_34 ),
inference(superposition,[],[f128,f316]) ).
fof(f1106,plain,
( op1(e10,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1104,f367]) ).
fof(f1107,plain,
( op1(e10,e13) = j(e23)
| ~ spl0_34
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1106,f83]) ).
fof(f1108,plain,
( e14 = op1(e10,e13)
| ~ spl0_34
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1107,f362]) ).
fof(f1109,plain,
( e13 = e14
| ~ spl0_34
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1108,f76]) ).
fof(f1110,plain,
( $false
| ~ spl0_34
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1109,f10]) ).
fof(f1111,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1110]) ).
fof(f1112,plain,
( e12 = e14
| ~ spl0_23
| ~ spl0_38 ),
inference(forward_demodulation,[],[f396,f333]) ).
fof(f1114,plain,
( spl0_4
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f600,f344,f188]) ).
fof(f1119,plain,
( $false
| ~ spl0_23
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1112,f11]) ).
fof(f1120,plain,
( ~ spl0_23
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f1119]) ).
fof(f1121,plain,
( spl0_37
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f541,f205,f327]) ).
fof(f1136,plain,
( e10 = e11
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f287,f283]) ).
fof(f1152,plain,
( $false
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1136,f19]) ).
fof(f1153,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1152]) ).
fof(f1160,plain,
( spl0_36
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f625,f184,f323]) ).
fof(f1165,plain,
( op1(e12,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1104,f375]) ).
fof(f1175,plain,
( op1(e12,e13) = j(e23)
| ~ spl0_34
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1165,f83]) ).
fof(f1177,plain,
( e14 = op1(e12,e13)
| ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1175,f362]) ).
fof(f1178,plain,
( e10 = e14
| ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1177,f66]) ).
fof(f1179,plain,
( $false
| ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1178,f16]) ).
fof(f1180,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1179]) ).
fof(f1226,plain,
( e14 = j(e20)
| ~ spl0_21 ),
inference(superposition,[],[f115,f262]) ).
fof(f1231,plain,
( j(op2(e24,e23)) = op1(j(e24),e10)
| ~ spl0_41 ),
inference(superposition,[],[f126,f346]) ).
fof(f1233,plain,
( op1(e11,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1231,f371]) ).
fof(f1234,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1233,f81]) ).
fof(f1235,plain,
( e12 = op1(e11,e10)
| ~ spl0_38
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1234,f333]) ).
fof(f1236,plain,
( e11 = e12
| ~ spl0_38
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1235,f74]) ).
fof(f1237,plain,
( $false
| ~ spl0_38
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1236,f15]) ).
fof(f1238,plain,
( ~ spl0_38
| ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1237]) ).
fof(f1239,plain,
( spl0_31
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f502,f180,f302]) ).
fof(f1254,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f1258,plain,
( op1(e11,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1254,f371]) ).
fof(f1259,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1258,f83]) ).
fof(f1260,plain,
( e13 = op1(e11,e10)
| ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1259,f358]) ).
fof(f1261,plain,
( e11 = e13
| ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1260,f74]) ).
fof(f1262,plain,
( $false
| ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1261,f14]) ).
fof(f1263,plain,
( ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1262]) ).
fof(f1268,plain,
( e14 = op1(e11,e10)
| ~ spl0_31
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1259,f362]) ).
fof(f1276,plain,
( e11 = e14
| ~ spl0_31
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1268,f74]) ).
fof(f1277,plain,
( $false
| ~ spl0_31
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1276,f13]) ).
fof(f1278,plain,
( ~ spl0_31
| ~ spl0_45
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1277]) ).
fof(f1305,plain,
( e21 = e24
| ~ spl0_7
| ~ spl0_47 ),
inference(forward_demodulation,[],[f673,f203]) ).
fof(f1308,plain,
( $false
| ~ spl0_7
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1305,f23]) ).
fof(f1309,plain,
( ~ spl0_7
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1308]) ).
fof(f1310,plain,
( spl0_33
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f614,f222,f310]) ).
fof(f1328,plain,
( e23 = e24
| ~ spl0_19
| ~ spl0_49 ),
inference(forward_demodulation,[],[f753,f253]) ).
fof(f1335,plain,
( $false
| ~ spl0_19
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1328,f20]) ).
fof(f1336,plain,
( ~ spl0_19
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1335]) ).
fof(f1353,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f1356,plain,
( op1(e13,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1353,f379]) ).
fof(f1357,plain,
( op1(e13,e11) = j(e23)
| ~ spl0_32
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1356,f83]) ).
fof(f1358,plain,
( e14 = op1(e13,e11)
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1357,f362]) ).
fof(f1359,plain,
( e12 = e14
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1358,f63]) ).
fof(f1360,plain,
( $false
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1359,f11]) ).
fof(f1361,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1360]) ).
fof(f1362,plain,
( spl0_46
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f525,f192,f365]) ).
fof(f1368,plain,
( op1(e10,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1353,f367]) ).
fof(f1376,plain,
( op1(e10,e11) = j(e23)
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1368,f83]) ).
fof(f1378,plain,
( e14 = op1(e10,e11)
| ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1376,f362]) ).
fof(f1379,plain,
( e11 = e14
| ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1378,f78]) ).
fof(f1380,plain,
( $false
| ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1379,f13]) ).
fof(f1381,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1380]) ).
fof(f1383,plain,
( spl0_49
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f450,f255,f377]) ).
fof(f1386,plain,
( e12 = e14
| ~ spl0_21
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1226,f291]) ).
fof(f1405,plain,
( $false
| ~ spl0_21
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1386,f11]) ).
fof(f1406,plain,
( ~ spl0_21
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1405]) ).
fof(f1458,plain,
( e24 = h(e13)
| ~ spl0_49 ),
inference(superposition,[],[f120,f379]) ).
fof(f1476,plain,
( j(op2(e24,e20)) = op1(e13,j(e20))
| ~ spl0_49 ),
inference(superposition,[],[f129,f379]) ).
fof(f1479,plain,
( op1(e13,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1476,f287]) ).
fof(f1481,plain,
( op1(e13,e11) = j(e24)
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1479,f84]) ).
fof(f1483,plain,
( e13 = op1(e13,e11)
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1481,f379]) ).
fof(f1485,plain,
( e12 = e13
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1483,f63]) ).
fof(f1488,plain,
( $false
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1485,f12]) ).
fof(f1489,plain,
( ~ spl0_27
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1488]) ).
fof(f1493,plain,
( e20 = e21
| ~ spl0_11
| ~ spl0_33 ),
inference(forward_demodulation,[],[f821,f220]) ).
fof(f1496,plain,
( e13 = e14
| ~ spl0_44
| ~ spl0_45 ),
inference(forward_demodulation,[],[f362,f358]) ).
fof(f1516,plain,
( $false
| ~ spl0_11
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f1493,f29]) ).
fof(f1517,plain,
( ~ spl0_11
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f1516]) ).
fof(f1518,plain,
( $false
| ~ spl0_44
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1496,f10]) ).
fof(f1519,plain,
( ~ spl0_44
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f1518]) ).
fof(f1520,plain,
( e11 = e13
| ~ spl0_18
| ~ spl0_37 ),
inference(forward_demodulation,[],[f435,f329]) ).
fof(f1529,plain,
( $false
| ~ spl0_18
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1520,f14]) ).
fof(f1530,plain,
( ~ spl0_18
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1529]) ).
fof(f1542,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
fof(f1557,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f1560,plain,
( op1(e10,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1557,f367]) ).
fof(f1561,plain,
( op1(e10,e12) = j(e23)
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1560,f83]) ).
fof(f1562,plain,
( e14 = op1(e10,e12)
| ~ spl0_33
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1561,f362]) ).
fof(f1563,plain,
( e12 = e14
| ~ spl0_33
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1562,f77]) ).
fof(f1564,plain,
( $false
| ~ spl0_33
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1563,f11]) ).
fof(f1565,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1564]) ).
fof(f1567,plain,
( e13 = e14
| ~ spl0_23
| ~ spl0_39 ),
inference(forward_demodulation,[],[f396,f337]) ).
fof(f1570,plain,
( e21 = e23
| ~ spl0_12
| ~ spl0_43 ),
inference(forward_demodulation,[],[f659,f224]) ).
fof(f1576,plain,
( $false
| ~ spl0_23
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1567,f10]) ).
fof(f1577,plain,
( ~ spl0_23
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1576]) ).
fof(f1580,plain,
( $false
| ~ spl0_12
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1570,f24]) ).
fof(f1581,plain,
( ~ spl0_12
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f1580]) ).
fof(f1586,plain,
( e13 = op1(e10,e12)
| ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1561,f358]) ).
fof(f1589,plain,
( $false
| ~ spl0_18
| spl0_39 ),
inference(forward_subsumption_resolution,[],[f435,f336]) ).
fof(f1590,plain,
( ~ spl0_18
| spl0_39 ),
inference(avatar_contradiction_clause,[],[f1589]) ).
fof(f1597,plain,
( e12 = e13
| ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1586,f77]) ).
fof(f1598,plain,
( $false
| ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1597,f12]) ).
fof(f1599,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1598]) ).
fof(f1617,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f1633,plain,
( j(op2(e24,e23)) = op1(j(e24),e11)
| ~ spl0_42 ),
inference(superposition,[],[f126,f350]) ).
fof(f1634,plain,
( e23 = h(e11)
| ~ spl0_42 ),
inference(superposition,[],[f121,f350]) ).
fof(f1635,plain,
( op1(e10,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1633,f367]) ).
fof(f1636,plain,
( op1(e10,e11) = j(e22)
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1635,f81]) ).
fof(f1637,plain,
( e14 = op1(e10,e11)
| ~ spl0_40
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1636,f341]) ).
fof(f1638,plain,
( e11 = e14
| ~ spl0_40
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1637,f78]) ).
fof(f1639,plain,
( $false
| ~ spl0_40
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1638,f13]) ).
fof(f1640,plain,
( ~ spl0_40
| ~ spl0_42
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1639]) ).
fof(f1644,plain,
( e11 = e14
| ~ spl0_23
| ~ spl0_37 ),
inference(forward_demodulation,[],[f396,f329]) ).
fof(f1645,plain,
( e11 = e14
| ~ spl0_23
| ~ spl0_37 ),
inference(forward_demodulation,[],[f1617,f329]) ).
fof(f1647,plain,
( $false
| ~ spl0_23
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1644,f13]) ).
fof(f1648,plain,
( ~ spl0_23
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1647]) ).
fof(f1649,plain,
( $false
| ~ spl0_23
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1645,f13]) ).
fof(f1650,plain,
( ~ spl0_23
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1649]) ).
fof(f1652,plain,
( spl0_39
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f435,f247,f335]) ).
fof(f1657,plain,
( e13 = op1(e10,e11)
| ~ spl0_39
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1636,f337]) ).
fof(f1663,plain,
( e11 = e13
| ~ spl0_39
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1657,f78]) ).
fof(f1664,plain,
( $false
| ~ spl0_39
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1663,f14]) ).
fof(f1665,plain,
( ~ spl0_39
| ~ spl0_42
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1664]) ).
fof(f1682,plain,
( e23 = e24
| ~ spl0_4
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f190]) ).
fof(f1685,plain,
( $false
| ~ spl0_4
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1682,f20]) ).
fof(f1686,plain,
( ~ spl0_4
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1685]) ).
fof(f1719,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f1721,plain,
( op1(e10,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1719,f367]) ).
fof(f1722,plain,
( op1(e10,e11) = j(e23)
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1721,f83]) ).
fof(f1723,plain,
( e12 = op1(e10,e11)
| ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1722,f354]) ).
fof(f1724,plain,
( e11 = e12
| ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1723,f78]) ).
fof(f1725,plain,
( $false
| ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1724,f15]) ).
fof(f1726,plain,
( ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1725]) ).
fof(f1727,plain,
( e10 = e12
| ~ spl0_15
| ~ spl0_46 ),
inference(forward_demodulation,[],[f587,f367]) ).
fof(f1731,plain,
( e13 = op1(e10,e11)
| ~ spl0_32
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1722,f358]) ).
fof(f1734,plain,
( $false
| ~ spl0_15
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1727,f18]) ).
fof(f1735,plain,
( ~ spl0_15
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1734]) ).
fof(f1738,plain,
( e11 = e13
| ~ spl0_32
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1731,f78]) ).
fof(f1739,plain,
( $false
| ~ spl0_32
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1738,f14]) ).
fof(f1740,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1739]) ).
fof(f1769,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f1771,plain,
( op1(e10,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1769,f367]) ).
fof(f1772,plain,
( op1(e10,e11) = j(e20)
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1771,f82]) ).
fof(f1773,plain,
( e14 = op1(e10,e11)
| ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1772,f299]) ).
fof(f1774,plain,
( e11 = e14
| ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1773,f78]) ).
fof(f1775,plain,
( $false
| ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1774,f13]) ).
fof(f1776,plain,
( ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1775]) ).
fof(f1778,plain,
( spl0_40
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f396,f268,f339]) ).
fof(f1807,plain,
( j(op2(e24,e23)) = op1(j(e24),e12)
| ~ spl0_43 ),
inference(superposition,[],[f126,f354]) ).
fof(f1809,plain,
( op1(e10,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1807,f367]) ).
fof(f1810,plain,
( op1(e10,e12) = j(e22)
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1809,f81]) ).
fof(f1811,plain,
( e14 = op1(e10,e12)
| ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1810,f341]) ).
fof(f1812,plain,
( e12 = e14
| ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1811,f77]) ).
fof(f1813,plain,
( $false
| ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1812,f11]) ).
fof(f1814,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1813]) ).
fof(f1815,plain,
( e11 = e12
| ~ spl0_11
| ~ spl0_27 ),
inference(forward_demodulation,[],[f479,f287]) ).
fof(f1819,plain,
( e21 = e23
| ~ spl0_17
| ~ spl0_44 ),
inference(forward_demodulation,[],[f663,f245]) ).
fof(f1825,plain,
( $false
| ~ spl0_11
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1815,f15]) ).
fof(f1826,plain,
( ~ spl0_11
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1825]) ).
fof(f1831,plain,
( $false
| ~ spl0_17
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1819,f24]) ).
fof(f1832,plain,
( ~ spl0_17
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1831]) ).
fof(f1835,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f836,f302,f180]) ).
fof(f1839,plain,
( e12 = e14
| ~ spl0_43
| ~ spl0_45 ),
inference(forward_demodulation,[],[f362,f354]) ).
fof(f1852,plain,
( $false
| ~ spl0_43
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1839,f11]) ).
fof(f1853,plain,
( ~ spl0_43
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f1852]) ).
fof(f1856,plain,
( e12 = e13
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_demodulation,[],[f316,f312]) ).
fof(f1857,plain,
( spl0_3
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f657,f323,f184]) ).
fof(f1871,plain,
( $false
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1856,f12]) ).
fof(f1872,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1871]) ).
fof(f1897,plain,
( j(op2(e24,e20)) = op1(j(e24),e14)
| ~ spl0_30 ),
inference(superposition,[],[f129,f299]) ).
fof(f1902,plain,
( op1(e12,e14) = j(op2(e24,e20))
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1897,f375]) ).
fof(f1903,plain,
( op1(e12,e14) = j(e24)
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1902,f84]) ).
fof(f1904,plain,
( e12 = op1(e12,e14)
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1903,f375]) ).
fof(f1905,plain,
( e11 = e12
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1904,f65]) ).
fof(f1906,plain,
( $false
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1905,f15]) ).
fof(f1907,plain,
( ~ spl0_30
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1906]) ).
fof(f1930,plain,
( j(op2(e24,e21)) = op1(j(e24),e13)
| ~ spl0_34 ),
inference(superposition,[],[f128,f316]) ).
fof(f1934,plain,
( op1(e12,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1930,f375]) ).
fof(f1935,plain,
( op1(e12,e13) = j(e23)
| ~ spl0_34
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1934,f83]) ).
fof(f1936,plain,
( e11 = op1(e12,e13)
| ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1935,f350]) ).
fof(f1937,plain,
( e10 = e11
| ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1936,f66]) ).
fof(f1938,plain,
( $false
| ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1937,f19]) ).
fof(f1939,plain,
( ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1938]) ).
fof(f1940,plain,
( e10 = e12
| ~ spl0_11
| ~ spl0_26 ),
inference(forward_demodulation,[],[f479,f283]) ).
fof(f1952,plain,
( $false
| spl0_9
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1634,f210]) ).
fof(f1953,plain,
( spl0_9
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f1952]) ).
fof(f1954,plain,
( $false
| ~ spl0_11
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1940,f18]) ).
fof(f1955,plain,
( ~ spl0_11
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1954]) ).
fof(f1982,plain,
( e13 = j(e24)
| ~ spl0_20 ),
inference(superposition,[],[f116,f257]) ).
fof(f1984,plain,
( j(op2(e24,e20)) = op1(j(e24),e12)
| ~ spl0_28 ),
inference(superposition,[],[f129,f291]) ).
fof(f1988,plain,
( op1(e13,e12) = j(op2(e24,e20))
| ~ spl0_28
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1984,f379]) ).
fof(f1989,plain,
( op1(e13,e12) = j(e24)
| ~ spl0_28
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1988,f84]) ).
fof(f1990,plain,
( e13 = op1(e13,e12)
| ~ spl0_28
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1989,f379]) ).
fof(f1991,plain,
( e11 = e13
| ~ spl0_28
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1990,f62]) ).
fof(f1992,plain,
( $false
| ~ spl0_28
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1991,f14]) ).
fof(f1993,plain,
( ~ spl0_28
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1992]) ).
fof(f2010,plain,
( e20 = e24
| ~ spl0_16
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1458,f241]) ).
fof(f2014,plain,
( $false
| ~ spl0_16
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2010,f26]) ).
fof(f2015,plain,
( ~ spl0_16
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2014]) ).
fof(f2019,plain,
( j(op2(e24,e20)) = op1(j(e24),e13)
| ~ spl0_29 ),
inference(superposition,[],[f129,f295]) ).
fof(f2023,plain,
( op1(e12,e13) = j(op2(e24,e20))
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2019,f375]) ).
fof(f2024,plain,
( op1(e12,e13) = j(e24)
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2023,f84]) ).
fof(f2025,plain,
( e12 = op1(e12,e13)
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2024,f375]) ).
fof(f2026,plain,
( e10 = e12
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2025,f66]) ).
fof(f2027,plain,
( $false
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2026,f18]) ).
fof(f2028,plain,
( ~ spl0_29
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2027]) ).
fof(f2034,plain,
( e12 = e13
| ~ spl0_20
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1982,f375]) ).
fof(f2050,plain,
( $false
| ~ spl0_20
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2034,f12]) ).
fof(f2051,plain,
( ~ spl0_20
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2050]) ).
fof(f2054,plain,
( e11 = e12
| ~ spl0_12
| ~ spl0_32 ),
inference(forward_demodulation,[],[f614,f308]) ).
fof(f2056,plain,
( e11 = e12
| ~ spl0_12
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1542,f308]) ).
fof(f2058,plain,
( e11 = e12
| ~ spl0_32
| ~ spl0_33 ),
inference(forward_demodulation,[],[f312,f308]) ).
fof(f2061,plain,
( $false
| ~ spl0_12
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f2054,f15]) ).
fof(f2062,plain,
( ~ spl0_12
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f2061]) ).
fof(f2065,plain,
( $false
| ~ spl0_12
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f2056,f15]) ).
fof(f2066,plain,
( ~ spl0_12
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f2065]) ).
fof(f2067,plain,
( $false
| ~ spl0_32
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f2058,f15]) ).
fof(f2068,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f2067]) ).
fof(f2073,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
fof(f2103,plain,
( j(op2(e24,e23)) = op1(j(e24),e11)
| ~ spl0_42 ),
inference(superposition,[],[f126,f350]) ).
fof(f2105,plain,
( op1(e13,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2103,f379]) ).
fof(f2106,plain,
( op1(e13,e11) = j(e22)
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2105,f81]) ).
fof(f2107,plain,
( e14 = op1(e13,e11)
| ~ spl0_40
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2106,f341]) ).
fof(f2108,plain,
( e12 = e14
| ~ spl0_40
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2107,f63]) ).
fof(f2109,plain,
( $false
| ~ spl0_40
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2108,f11]) ).
fof(f2110,plain,
( ~ spl0_40
| ~ spl0_42
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2109]) ).
fof(f2139,plain,
( j(op2(e24,e20)) = op1(j(e24),e12)
| ~ spl0_28 ),
inference(superposition,[],[f129,f291]) ).
fof(f2143,plain,
( op1(e14,e12) = j(op2(e24,e20))
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2139,f383]) ).
fof(f2144,plain,
( op1(e14,e12) = j(e24)
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2143,f84]) ).
fof(f2145,plain,
( e14 = op1(e14,e12)
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2144,f383]) ).
fof(f2146,plain,
( e10 = e14
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2145,f57]) ).
fof(f2147,plain,
( $false
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2146,f16]) ).
fof(f2148,plain,
( ~ spl0_28
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2147]) ).
fof(f2152,plain,
( e10 = e12
| ~ spl0_12
| ~ spl0_31 ),
inference(forward_demodulation,[],[f2073,f304]) ).
fof(f2171,plain,
( $false
| ~ spl0_12
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f2152,f18]) ).
fof(f2172,plain,
( ~ spl0_12
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f2171]) ).
fof(f2205,plain,
( j(op2(e24,e20)) = op1(j(e24),e14)
| ~ spl0_30 ),
inference(superposition,[],[f129,f299]) ).
fof(f2209,plain,
( op1(e13,e14) = j(op2(e24,e20))
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2205,f379]) ).
fof(f2210,plain,
( op1(e13,e14) = j(e24)
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2209,f84]) ).
fof(f2211,plain,
( e13 = op1(e13,e14)
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2210,f379]) ).
fof(f2212,plain,
( e10 = e13
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2211,f60]) ).
fof(f2213,plain,
( $false
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2212,f17]) ).
fof(f2214,plain,
( ~ spl0_30
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2213]) ).
fof(f2359,plain,
( j(op2(e24,e20)) = op1(j(e24),e13)
| ~ spl0_29 ),
inference(superposition,[],[f129,f295]) ).
fof(f2363,plain,
( op1(e14,e13) = j(op2(e24,e20))
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2359,f383]) ).
fof(f2364,plain,
( op1(e14,e13) = j(e24)
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2363,f84]) ).
fof(f2365,plain,
( e14 = op1(e14,e13)
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2364,f383]) ).
fof(f2366,plain,
( e11 = e14
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2365,f56]) ).
fof(f2367,plain,
( $false
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2366,f13]) ).
fof(f2368,plain,
( ~ spl0_29
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2367]) ).
fof(f2406,plain,
( j(op2(e24,e23)) = op1(j(e24),e12)
| ~ spl0_43 ),
inference(superposition,[],[f126,f354]) ).
fof(f2408,plain,
( op1(e14,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2406,f383]) ).
fof(f2409,plain,
( op1(e14,e12) = j(e22)
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2408,f81]) ).
fof(f2410,plain,
( e13 = op1(e14,e12)
| ~ spl0_39
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2409,f337]) ).
fof(f2411,plain,
( e10 = e13
| ~ spl0_39
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2410,f57]) ).
fof(f2412,plain,
( $false
| ~ spl0_39
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2411,f17]) ).
fof(f2413,plain,
( ~ spl0_39
| ~ spl0_43
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2412]) ).
fof(f2438,plain,
( op1(e13,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2406,f379]) ).
fof(f2451,plain,
( op1(e13,e12) = j(e22)
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2438,f81]) ).
fof(f2481,plain,
( j(op2(e24,e21)) = op1(j(e24),e14)
| ~ spl0_35 ),
inference(superposition,[],[f128,f320]) ).
fof(f2484,plain,
( op1(e13,e14) = j(op2(e24,e21))
| ~ spl0_35
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2481,f379]) ).
fof(f2485,plain,
( op1(e13,e14) = j(e23)
| ~ spl0_35
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2484,f83]) ).
fof(f2486,plain,
( e12 = op1(e13,e14)
| ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2485,f354]) ).
fof(f2487,plain,
( e10 = e12
| ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2486,f60]) ).
fof(f2488,plain,
( $false
| ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2487,f18]) ).
fof(f2489,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2488]) ).
fof(f2494,plain,
( e14 = op1(e13,e12)
| ~ spl0_40
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2451,f341]) ).
fof(f2499,plain,
( e11 = e14
| ~ spl0_40
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2494,f62]) ).
fof(f2500,plain,
( $false
| ~ spl0_40
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2499,f13]) ).
fof(f2501,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2500]) ).
fof(f2544,plain,
( j(op2(e24,e23)) = op1(j(e24),e14)
| ~ spl0_45 ),
inference(superposition,[],[f126,f362]) ).
fof(f2546,plain,
( op1(e12,e14) = j(op2(e24,e23))
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2544,f375]) ).
fof(f2547,plain,
( op1(e12,e14) = j(e22)
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2546,f81]) ).
fof(f2548,plain,
( e13 = op1(e12,e14)
| ~ spl0_39
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2547,f337]) ).
fof(f2549,plain,
( e11 = e13
| ~ spl0_39
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2548,f65]) ).
fof(f2550,plain,
( $false
| ~ spl0_39
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2549,f14]) ).
fof(f2551,plain,
( ~ spl0_39
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2550]) ).
fof(f2576,plain,
( j(op2(e24,e23)) = op1(j(e24),e13)
| ~ spl0_44 ),
inference(superposition,[],[f126,f358]) ).
fof(f2578,plain,
( op1(e12,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2576,f375]) ).
fof(f2579,plain,
( op1(e12,e13) = j(e22)
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2578,f81]) ).
fof(f2580,plain,
( e14 = op1(e12,e13)
| ~ spl0_40
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2579,f341]) ).
fof(f2581,plain,
( e10 = e14
| ~ spl0_40
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2580,f66]) ).
fof(f2582,plain,
( $false
| ~ spl0_40
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2581,f16]) ).
fof(f2583,plain,
( ~ spl0_40
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2582]) ).
fof(f2626,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f2628,plain,
( op1(e11,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2626,f371]) ).
fof(f2629,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2628,f83]) ).
fof(f2630,plain,
( e12 = op1(e11,e10)
| ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2629,f354]) ).
fof(f2631,plain,
( e11 = e12
| ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2630,f74]) ).
fof(f2632,plain,
( $false
| ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2631,f15]) ).
fof(f2633,plain,
( ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2632]) ).
fof(f2666,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f2713,plain,
( e23 = h(e14)
| ~ spl0_45 ),
inference(superposition,[],[f121,f362]) ).
fof(f2718,plain,
( op1(e11,e11) = j(op2(e24,e24))
| ~ spl0_47 ),
inference(superposition,[],[f125,f371]) ).
fof(f2728,plain,
( op1(e11,e11) = j(e21)
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2718,f80]) ).
fof(f2733,plain,
( e12 = op1(e11,e11)
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2728,f312]) ).
fof(f2738,plain,
( e10 = e12
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2733,f73]) ).
fof(f2739,plain,
( $false
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2738,f18]) ).
fof(f2740,plain,
( ~ spl0_33
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2739]) ).
fof(f2744,plain,
( op1(e14,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2666,f383]) ).
fof(f2751,plain,
( $false
| spl0_24
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f2713,f273]) ).
fof(f2752,plain,
( spl0_24
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f2751]) ).
fof(f2756,plain,
( op1(e14,e12) = j(e23)
| ~ spl0_33
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2744,f83]) ).
fof(f2759,plain,
( e14 = op1(e14,e12)
| ~ spl0_33
| ~ spl0_45
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2756,f362]) ).
fof(f2762,plain,
( e10 = e14
| ~ spl0_33
| ~ spl0_45
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2759,f57]) ).
fof(f2764,plain,
( $false
| ~ spl0_33
| ~ spl0_45
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2762,f16]) ).
fof(f2765,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2764]) ).
fof(f2784,plain,
( j(op2(e24,e20)) = op1(j(e24),e11)
| ~ spl0_27 ),
inference(superposition,[],[f129,f287]) ).
fof(f2787,plain,
( op1(e14,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2784,f383]) ).
fof(f2788,plain,
( op1(e14,e11) = j(e24)
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2787,f84]) ).
fof(f2789,plain,
( e14 = op1(e14,e11)
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2788,f383]) ).
fof(f2790,plain,
( e13 = e14
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2789,f58]) ).
fof(f2791,plain,
( $false
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2790,f10]) ).
fof(f2792,plain,
( ~ spl0_27
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2791]) ).
fof(f2798,plain,
( e13 = op1(e14,e12)
| ~ spl0_33
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2756,f358]) ).
fof(f2807,plain,
( e10 = e13
| ~ spl0_33
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2798,f57]) ).
fof(f2808,plain,
( $false
| ~ spl0_33
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2807,f17]) ).
fof(f2809,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2808]) ).
fof(f2813,plain,
( op1(e13,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2666,f379]) ).
fof(f2815,plain,
( op1(e13,e12) = j(e23)
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2813,f83]) ).
fof(f2816,plain,
( e14 = op1(e13,e12)
| ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2815,f362]) ).
fof(f2817,plain,
( e11 = e14
| ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2816,f62]) ).
fof(f2818,plain,
( $false
| ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2817,f13]) ).
fof(f2819,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2818]) ).
fof(f2863,plain,
( j(op2(e24,e21)) = op1(j(e24),e13)
| ~ spl0_34 ),
inference(superposition,[],[f128,f316]) ).
fof(f2866,plain,
( op1(e12,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2863,f375]) ).
fof(f2867,plain,
( op1(e12,e13) = j(e23)
| ~ spl0_34
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2866,f83]) ).
fof(f2877,plain,
( j(op2(e24,e23)) = op1(j(e24),e10)
| ~ spl0_41 ),
inference(superposition,[],[f126,f346]) ).
fof(f2879,plain,
( op1(e12,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2877,f375]) ).
fof(f2880,plain,
( op1(e12,e10) = j(e22)
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2879,f81]) ).
fof(f2881,plain,
( e14 = op1(e12,e10)
| ~ spl0_40
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2880,f341]) ).
fof(f2882,plain,
( e12 = e14
| ~ spl0_40
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2881,f69]) ).
fof(f2883,plain,
( $false
| ~ spl0_40
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2882,f11]) ).
fof(f2884,plain,
( ~ spl0_40
| ~ spl0_41
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2883]) ).
fof(f2889,plain,
( e12 = op1(e12,e13)
| ~ spl0_34
| ~ spl0_43
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2867,f354]) ).
fof(f2896,plain,
( e10 = e12
| ~ spl0_34
| ~ spl0_43
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2889,f66]) ).
fof(f2897,plain,
( $false
| ~ spl0_34
| ~ spl0_43
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2896,f18]) ).
fof(f2898,plain,
( ~ spl0_34
| ~ spl0_43
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2897]) ).
fof(f2933,plain,
( op1(e11,e11) = j(op2(e24,e24))
| ~ spl0_47 ),
inference(superposition,[],[f125,f371]) ).
fof(f2943,plain,
( op1(e11,e11) = j(e21)
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2933,f80]) ).
fof(f2948,plain,
( e13 = op1(e11,e11)
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2943,f316]) ).
fof(f2953,plain,
( e10 = e13
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2948,f73]) ).
fof(f2954,plain,
( $false
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2953,f17]) ).
fof(f2955,plain,
( ~ spl0_34
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2954]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f195]) ).
cnf(s2,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f216]) ).
cnf(s3,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f237]) ).
cnf(s4,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f258]) ).
cnf(s5,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f279]) ).
cnf(s6,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f300]) ).
cnf(s7,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f321]) ).
cnf(s8,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(sat_conversion,[],[f342]) ).
cnf(s9,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f363]) ).
cnf(s10,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(sat_conversion,[],[f384]) ).
cnf(s11,plain,
( ~ spl0_21
| ~ spl0_26 ),
inference(sat_conversion,[],[f388]) ).
cnf(s12,plain,
( ~ spl0_22
| ~ spl0_31 ),
inference(sat_conversion,[],[f393]) ).
cnf(s13,plain,
( ~ spl0_23
| ~ spl0_36 ),
inference(sat_conversion,[],[f399]) ).
cnf(s14,plain,
( ~ spl0_24
| ~ spl0_41 ),
inference(sat_conversion,[],[f406]) ).
cnf(s15,plain,
( ~ spl0_25
| ~ spl0_46 ),
inference(sat_conversion,[],[f414]) ).
cnf(s16,plain,
( ~ spl0_21
| spl0_30 ),
inference(sat_conversion,[],[f415]) ).
cnf(s17,plain,
( ~ spl0_27
| ~ spl0_30 ),
inference(sat_conversion,[],[f419]) ).
cnf(s18,plain,
( ~ spl0_16
| spl0_29 ),
inference(sat_conversion,[],[f427]) ).
cnf(s19,plain,
( ~ spl0_17
| ~ spl0_31 ),
inference(sat_conversion,[],[f432]) ).
cnf(s20,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(sat_conversion,[],[f438]) ).
cnf(s21,plain,
( ~ spl0_19
| ~ spl0_41 ),
inference(sat_conversion,[],[f445]) ).
cnf(s24,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(sat_conversion,[],[f464]) ).
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(s31,plain,
( ~ spl0_6
| spl0_27 ),
inference(sat_conversion,[],[f495]) ).
cnf(s32,plain,
( ~ spl0_10
| ~ spl0_46 ),
inference(sat_conversion,[],[f500]) ).
cnf(s36,plain,
( ~ spl0_26
| ~ spl0_29 ),
inference(sat_conversion,[],[f515]) ).
cnf(s39,plain,
( ~ spl0_9
| spl0_42 ),
inference(sat_conversion,[],[f531]) ).
cnf(s40,plain,
( ~ spl0_7
| spl0_32 ),
inference(sat_conversion,[],[f536]) ).
cnf(s41,plain,
( ~ spl0_8
| ~ spl0_36 ),
inference(sat_conversion,[],[f544]) ).
cnf(s44,plain,
( ~ spl0_35
| ~ spl0_46 ),
inference(sat_conversion,[],[f563]) ).
cnf(s45,plain,
( ~ spl0_4
| spl0_41 ),
inference(sat_conversion,[],[f564]) ).
cnf(s46,plain,
( ~ spl0_13
| ~ spl0_37 ),
inference(sat_conversion,[],[f572]) ).
cnf(s51,plain,
( ~ spl0_15
| spl0_48 ),
inference(sat_conversion,[],[f588]) ).
cnf(s53,plain,
( spl0_11
| ~ spl0_28 ),
inference(sat_conversion,[],[f596]) ).
cnf(s54,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f598]) ).
cnf(s55,plain,
( ~ spl0_35
| ~ spl0_48 ),
inference(sat_conversion,[],[f608]) ).
cnf(s56,plain,
( ~ spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f616]) ).
cnf(s57,plain,
( ~ spl0_14
| spl0_43 ),
inference(sat_conversion,[],[f618]) ).
cnf(s60,plain,
( ~ spl0_7
| ~ spl0_37 ),
inference(sat_conversion,[],[f633]) ).
cnf(s61,plain,
( ~ spl0_10
| spl0_47 ),
inference(sat_conversion,[],[f634]) ).
cnf(s62,plain,
( spl0_8
| ~ spl0_37 ),
inference(sat_conversion,[],[f637]) ).
cnf(s63,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(sat_conversion,[],[f651]) ).
cnf(s64,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f653]) ).
cnf(s66,plain,
( spl0_19
| ~ spl0_44 ),
inference(sat_conversion,[],[f665]) ).
cnf(s68,plain,
( ~ spl0_43
| ~ spl0_44 ),
inference(sat_conversion,[],[f669]) ).
cnf(s69,plain,
( ~ spl0_35
| ~ spl0_47 ),
inference(sat_conversion,[],[f678]) ).
cnf(s70,plain,
( ~ spl0_6
| spl0_27 ),
inference(sat_conversion,[],[f679]) ).
cnf(s75,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(sat_conversion,[],[f706]) ).
cnf(s78,plain,
( ~ spl0_13
| spl0_38 ),
inference(sat_conversion,[],[f707]) ).
cnf(s80,plain,
( ~ spl0_41
| ~ spl0_42 ),
inference(sat_conversion,[],[f729]) ).
cnf(s81,plain,
( ~ spl0_1
| spl0_26 ),
inference(sat_conversion,[],[f730]) ).
cnf(s84,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(sat_conversion,[],[f785]) ).
cnf(s88,plain,
( spl0_12
| ~ spl0_33 ),
inference(sat_conversion,[],[f824]) ).
cnf(s89,plain,
( ~ spl0_33
| ~ spl0_42
| ~ spl0_50 ),
inference(sat_conversion,[],[f830]) ).
cnf(s90,plain,
( ~ spl0_1
| ~ spl0_31 ),
inference(sat_conversion,[],[f840]) ).
cnf(s91,plain,
( spl0_1
| ~ spl0_26 ),
inference(sat_conversion,[],[f846]) ).
cnf(s94,plain,
( spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f857]) ).
cnf(s97,plain,
( ~ spl0_25
| ~ spl0_49 ),
inference(sat_conversion,[],[f877]) ).
cnf(s101,plain,
( ~ spl0_25
| ~ spl0_48 ),
inference(sat_conversion,[],[f902]) ).
cnf(s102,plain,
( ~ spl0_9
| ~ spl0_47 ),
inference(sat_conversion,[],[f917]) ).
cnf(s106,plain,
( ~ spl0_24
| ~ spl0_42 ),
inference(sat_conversion,[],[f942]) ).
cnf(s107,plain,
( ~ spl0_2
| ~ spl0_46 ),
inference(sat_conversion,[],[f944]) ).
cnf(s108,plain,
( ~ spl0_38
| ~ spl0_42
| ~ spl0_46 ),
inference(sat_conversion,[],[f955]) ).
cnf(s111,plain,
( ~ spl0_25
| spl0_50 ),
inference(sat_conversion,[],[f961]) ).
cnf(s113,plain,
( ~ spl0_18
| ~ spl0_38 ),
inference(sat_conversion,[],[f971]) ).
cnf(s114,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_50 ),
inference(sat_conversion,[],[f980]) ).
cnf(s117,plain,
( ~ spl0_17
| spl0_34 ),
inference(sat_conversion,[],[f982]) ).
cnf(s118,plain,
( ~ spl0_34
| ~ spl0_50 ),
inference(sat_conversion,[],[f1031]) ).
cnf(s120,plain,
( ~ spl0_19
| spl0_44 ),
inference(sat_conversion,[],[f1033]) ).
cnf(s121,plain,
( ~ spl0_38
| ~ spl0_44
| ~ spl0_50 ),
inference(sat_conversion,[],[f1052]) ).
cnf(s122,plain,
( ~ spl0_24
| spl0_45 ),
inference(sat_conversion,[],[f1056]) ).
cnf(s126,plain,
( ~ spl0_1
| ~ spl0_46 ),
inference(sat_conversion,[],[f1076]) ).
cnf(s131,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_46 ),
inference(sat_conversion,[],[f1111]) ).
cnf(s132,plain,
( spl0_4
| ~ spl0_41 ),
inference(sat_conversion,[],[f1114]) ).
cnf(s134,plain,
( ~ spl0_23
| ~ spl0_38 ),
inference(sat_conversion,[],[f1120]) ).
cnf(s135,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f1121]) ).
cnf(s147,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f1153]) ).
cnf(s149,plain,
( ~ spl0_3
| spl0_36 ),
inference(sat_conversion,[],[f1160]) ).
cnf(s152,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f1180]) ).
cnf(s164,plain,
( ~ spl0_38
| ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f1238]) ).
cnf(s165,plain,
( ~ spl0_2
| spl0_31 ),
inference(sat_conversion,[],[f1239]) ).
cnf(s167,plain,
( ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(sat_conversion,[],[f1263]) ).
cnf(s171,plain,
( ~ spl0_31
| ~ spl0_45
| ~ spl0_47 ),
inference(sat_conversion,[],[f1278]) ).
cnf(s181,plain,
( ~ spl0_7
| ~ spl0_47 ),
inference(sat_conversion,[],[f1309]) ).
cnf(s182,plain,
( ~ spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f1310]) ).
cnf(s187,plain,
( ~ spl0_19
| ~ spl0_49 ),
inference(sat_conversion,[],[f1336]) ).
cnf(s188,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(sat_conversion,[],[f1361]) ).
cnf(s189,plain,
( ~ spl0_5
| spl0_46 ),
inference(sat_conversion,[],[f1362]) ).
cnf(s194,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(sat_conversion,[],[f1381]) ).
cnf(s199,plain,
( ~ spl0_20
| spl0_49 ),
inference(sat_conversion,[],[f1383]) ).
cnf(s204,plain,
( ~ spl0_21
| ~ spl0_28 ),
inference(sat_conversion,[],[f1406]) ).
cnf(s217,plain,
( ~ spl0_27
| ~ spl0_49 ),
inference(sat_conversion,[],[f1489]) ).
cnf(s230,plain,
( ~ spl0_11
| ~ spl0_33 ),
inference(sat_conversion,[],[f1517]) ).
cnf(s231,plain,
( ~ spl0_44
| ~ spl0_45 ),
inference(sat_conversion,[],[f1519]) ).
cnf(s236,plain,
( ~ spl0_18
| ~ spl0_37 ),
inference(sat_conversion,[],[f1530]) ).
cnf(s237,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_46 ),
inference(sat_conversion,[],[f1565]) ).
cnf(s241,plain,
( ~ spl0_23
| ~ spl0_39 ),
inference(sat_conversion,[],[f1577]) ).
cnf(s243,plain,
( ~ spl0_12
| ~ spl0_43 ),
inference(sat_conversion,[],[f1581]) ).
cnf(s246,plain,
( ~ spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f1590]) ).
cnf(s250,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(sat_conversion,[],[f1599]) ).
cnf(s255,plain,
( ~ spl0_40
| ~ spl0_42
| ~ spl0_46 ),
inference(sat_conversion,[],[f1640]) ).
cnf(s257,plain,
( ~ spl0_23
| ~ spl0_37 ),
inference(sat_conversion,[],[f1648]) ).
cnf(s258,plain,
( ~ spl0_23
| ~ spl0_37 ),
inference(sat_conversion,[],[f1650]) ).
cnf(s259,plain,
( ~ spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f1652]) ).
cnf(s264,plain,
( ~ spl0_39
| ~ spl0_42
| ~ spl0_46 ),
inference(sat_conversion,[],[f1665]) ).
cnf(s275,plain,
( ~ spl0_4
| ~ spl0_46 ),
inference(sat_conversion,[],[f1686]) ).
cnf(s278,plain,
( ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(sat_conversion,[],[f1726]) ).
cnf(s281,plain,
( ~ spl0_15
| ~ spl0_46 ),
inference(sat_conversion,[],[f1735]) ).
cnf(s283,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_46 ),
inference(sat_conversion,[],[f1740]) ).
cnf(s291,plain,
( ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(sat_conversion,[],[f1776]) ).
cnf(s297,plain,
( ~ spl0_23
| spl0_40 ),
inference(sat_conversion,[],[f1778]) ).
cnf(s299,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(sat_conversion,[],[f1814]) ).
cnf(s302,plain,
( ~ spl0_11
| ~ spl0_27 ),
inference(sat_conversion,[],[f1826]) ).
cnf(s305,plain,
( ~ spl0_17
| ~ spl0_44 ),
inference(sat_conversion,[],[f1832]) ).
cnf(s319,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f1835]) ).
cnf(s321,plain,
( ~ spl0_43
| ~ spl0_45 ),
inference(sat_conversion,[],[f1853]) ).
cnf(s336,plain,
( spl0_3
| ~ spl0_36 ),
inference(sat_conversion,[],[f1857]) ).
cnf(s337,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(sat_conversion,[],[f1872]) ).
cnf(s339,plain,
( ~ spl0_30
| ~ spl0_48 ),
inference(sat_conversion,[],[f1907]) ).
cnf(s347,plain,
( ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f1939]) ).
cnf(s353,plain,
( spl0_9
| ~ spl0_42 ),
inference(sat_conversion,[],[f1953]) ).
cnf(s354,plain,
( ~ spl0_11
| ~ spl0_26 ),
inference(sat_conversion,[],[f1955]) ).
cnf(s363,plain,
( ~ spl0_28
| ~ spl0_49 ),
inference(sat_conversion,[],[f1993]) ).
cnf(s372,plain,
( ~ spl0_16
| ~ spl0_49 ),
inference(sat_conversion,[],[f2015]) ).
cnf(s373,plain,
( ~ spl0_29
| ~ spl0_48 ),
inference(sat_conversion,[],[f2028]) ).
cnf(s387,plain,
( ~ spl0_20
| ~ spl0_48 ),
inference(sat_conversion,[],[f2051]) ).
cnf(s394,plain,
( ~ spl0_12
| ~ spl0_32 ),
inference(sat_conversion,[],[f2062]) ).
cnf(s396,plain,
( ~ spl0_12
| ~ spl0_32 ),
inference(sat_conversion,[],[f2066]) ).
cnf(s397,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(sat_conversion,[],[f2068]) ).
cnf(s401,plain,
( ~ spl0_40
| ~ spl0_42
| ~ spl0_49 ),
inference(sat_conversion,[],[f2110]) ).
cnf(s413,plain,
( ~ spl0_28
| ~ spl0_50 ),
inference(sat_conversion,[],[f2148]) ).
cnf(s422,plain,
( ~ spl0_12
| ~ spl0_31 ),
inference(sat_conversion,[],[f2172]) ).
cnf(s433,plain,
( ~ spl0_30
| ~ spl0_49 ),
inference(sat_conversion,[],[f2214]) ).
cnf(s485,plain,
( ~ spl0_29
| ~ spl0_50 ),
inference(sat_conversion,[],[f2368]) ).
cnf(s497,plain,
( ~ spl0_39
| ~ spl0_43
| ~ spl0_50 ),
inference(sat_conversion,[],[f2413]) ).
cnf(s536,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(sat_conversion,[],[f2489]) ).
cnf(s547,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_49 ),
inference(sat_conversion,[],[f2501]) ).
cnf(s560,plain,
( ~ spl0_39
| ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f2551]) ).
cnf(s569,plain,
( ~ spl0_40
| ~ spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f2583]) ).
cnf(s590,plain,
( ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f2633]) ).
cnf(s626,plain,
( ~ spl0_33
| ~ spl0_47 ),
inference(sat_conversion,[],[f2740]) ).
cnf(s646,plain,
( spl0_24
| ~ spl0_45 ),
inference(sat_conversion,[],[f2752]) ).
cnf(s647,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_50 ),
inference(sat_conversion,[],[f2765]) ).
cnf(s649,plain,
( ~ spl0_27
| ~ spl0_50 ),
inference(sat_conversion,[],[f2792]) ).
cnf(s667,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_50 ),
inference(sat_conversion,[],[f2809]) ).
cnf(s682,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(sat_conversion,[],[f2819]) ).
cnf(s713,plain,
( ~ spl0_40
| ~ spl0_41
| ~ spl0_48 ),
inference(sat_conversion,[],[f2884]) ).
cnf(s736,plain,
( ~ spl0_34
| ~ spl0_43
| ~ spl0_48 ),
inference(sat_conversion,[],[f2898]) ).
cnf(s737,plain,
( ~ spl0_34
| ~ spl0_47 ),
inference(sat_conversion,[],[f2955]) ).
cnf(s738,plain,
( spl0_8
| spl0_7
| spl0_6
| ~ spl0_46
| spl0_36 ),
inference(rat,[],[s8,s108,s255,s264,s39,s2,s62,s32]) ).
cnf(s739,plain,
( spl0_7
| spl0_6
| ~ spl0_46
| spl0_36
| spl0_31 ),
inference(rat,[],[s7,s131,s237,s122,s5,s16,s258,s291,s135,s738,s64,s15,s26,s44]) ).
cnf(s740,plain,
( ~ spl0_7
| ~ spl0_46
| spl0_41
| spl0_36 ),
inference(rat,[],[s8,s108,s255,s264,s9,s278,s283,s194,s40,s60]) ).
cnf(s741,plain,
( spl0_45
| spl0_21
| spl0_11
| ~ spl0_46
| spl0_41 ),
inference(rat,[],[s56,s250,s3,s9,s57,s78,s255,s299,s134,s297,s5,s122,s281,s15,s26,s44]) ).
cnf(s742,plain,
( spl0_4
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s7,s131,s237,s741,s16,s17,s302,s70,s739,s64,s740,s44,s189,s1,s132,s319,s336]) ).
cnf(s743,plain,
( ~ spl0_48
| ~ spl0_27
| ~ spl0_41 ),
inference(rat,[],[s5,s297,s26,s713,s55,s14,s111,s649,s16,s17]) ).
cnf(s744,plain,
( ~ spl0_27
| ~ spl0_4 ),
inference(rat,[],[s56,s3,s626,s78,s164,s10,s51,s743,s217,s302,s649,s275,s30,s45]) ).
cnf(s745,plain,
( ~ spl0_29
| spl0_12
| spl0_11
| ~ spl0_4 ),
inference(rat,[],[s164,s78,s10,s3,s372,s51,s94,s373,s485,s275,s30,s45]) ).
cnf(s746,plain,
( spl0_12
| spl0_11
| ~ spl0_4
| spl0_26 ),
inference(rat,[],[s10,s114,s164,s78,s3,s51,s339,s433,s6,s745,s275,s30,s45,s744,s53]) ).
cnf(s747,plain,
( ~ spl0_48
| spl0_18
| spl0_17
| spl0_19 ),
inference(rat,[],[s18,s4,s373,s387]) ).
cnf(s748,plain,
( spl0_30
| spl0_11
| ~ spl0_4
| spl0_26 ),
inference(rat,[],[s111,s485,s5,s6,s16,s14,s53,s26,s27,s258,s135,s2,s61,s626,s182,s39,s80,s45,s70,s744,s40,s396,s746]) ).
cnf(s749,plain,
( spl0_11
| ~ spl0_4
| spl0_26 ),
inference(rat,[],[s4,s18,s199,s25,s433,s748,s236,s135,s2,s117,s61,s337,s626,s40,s182,s396,s746,s21,s39,s80,s45,s70,s744]) ).
cnf(s750,plain,
( ~ spl0_47
| spl0_33
| spl0_31 ),
inference(rat,[],[s7,s64,s69,s181,s737]) ).
cnf(s751,plain,
( ~ spl0_4
| spl0_31
| spl0_26 ),
inference(rat,[],[s5,s297,s26,s713,s55,s10,s750,s111,s204,s363,s413,s28,s230,s749,s14,s45,s275]) ).
cnf(s752,plain,
( ~ spl0_50
| ~ spl0_33
| spl0_41 ),
inference(rat,[],[s9,s667,s647,s89,s243,s88]) ).
cnf(s753,plain,
( ~ spl0_49
| spl0_28
| spl0_26 ),
inference(rat,[],[s94,s6,s217,s372,s433]) ).
cnf(s754,plain,
( ~ spl0_48
| spl0_25
| spl0_22
| spl0_17
| ~ spl0_36 ),
inference(rat,[],[s122,s231,s5,s120,s16,s747,s339,s20,s13]) ).
cnf(s755,plain,
( ~ spl0_33
| spl0_49
| spl0_11
| ~ spl0_36
| spl0_41 ),
inference(rat,[],[s24,s18,s16,s4,s741,s120,s237,s250,s10,s754,s111,s752,s26,s117,s27,s337,s626,s20,s199]) ).
cnf(s756,plain,
( spl0_48
| spl0_46
| spl0_47
| spl0_12
| spl0_49
| spl0_11
| ~ spl0_36 ),
inference(rat,[],[s120,s4,s68,s117,s18,s57,s118,s485,s3,s10,s51,s29,s20,s199]) ).
cnf(s757,plain,
( ~ spl0_48
| ~ spl0_36 ),
inference(rat,[],[s152,s117,s122,s754,s5,s26,s16,s55,s101,s339,s13]) ).
cnf(s758,plain,
( spl0_11
| ~ spl0_36
| spl0_31
| spl0_26 ),
inference(rat,[],[s31,s17,s2,s16,s39,s40,s741,s75,s278,s321,s57,s3,s756,s61,s750,s182,s755,s753,s53,s132,s751,s41,s29,s51,s757]) ).
cnf(s759,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s7,s131,s194,s122,s5,s26,s44,s10,s111,s204,s363,s413,s750,s28,s230,s758,s757,s13,s149,s742,s751,s319,s91]) ).
cnf(s760,plain,
( ~ spl0_4
| spl0_1 ),
inference(rat,[],[s246,s241,s4,s5,s18,s199,s111,s54,s204,s363,s413,s28,s14,s21,s749,s45,s91,s19,s12,s165,s759]) ).
cnf(s761,plain,
( ~ spl0_50
| spl0_15
| spl0_11
| spl0_1 ),
inference(rat,[],[s4,s120,s259,s68,s497,s57,s3,s78,s114,s6,s18,s485,s649,s422,s19,s165,s759,s199,s753,s53,s91]) ).
cnf(s762,plain,
( ~ spl0_47
| spl0_1 ),
inference(rat,[],[s9,s353,s167,s171,s590,s102,s165,s759,s132,s760]) ).
cnf(s763,plain,
( spl0_48
| spl0_11
| spl0_1 ),
inference(rat,[],[s761,s10,s51,s107,s759,s762,s753,s53,s91]) ).
cnf(s765,plain,
( ~ spl0_23
| ~ spl0_48
| spl0_17 ),
inference(rat,[],[s747,s120,s259,s569,s241,s297]) ).
cnf(s766,plain,
( ~ spl0_48
| ~ spl0_31 ),
inference(rat,[],[s747,s120,s259,s231,s560,s122,s5,s765,s16,s101,s339,s19,s12]) ).
cnf(s767,plain,
spl0_1,
inference(rat,[],[s10,s363,s413,s28,s763,s766,s762,s107,s165,s759]) ).
cnf(s768,plain,
~ spl0_46,
inference(rat,[],[s126,s767]) ).
cnf(s769,plain,
~ spl0_31,
inference(rat,[],[s90,s767]) ).
cnf(s770,plain,
spl0_26,
inference(rat,[],[s81,s767]) ).
cnf(s774,plain,
~ spl0_11,
inference(rat,[],[s354,s770]) ).
cnf(s775,plain,
~ spl0_27,
inference(rat,[],[s147,s770]) ).
cnf(s776,plain,
~ spl0_29,
inference(rat,[],[s36,s770]) ).
cnf(s777,plain,
~ spl0_21,
inference(rat,[],[s11,s770]) ).
cnf(s778,plain,
~ spl0_6,
inference(rat,[],[s70,s775]) ).
cnf(s779,plain,
~ spl0_16,
inference(rat,[],[s18,s776]) ).
cnf(s781,plain,
( spl0_47
| ~ spl0_41
| spl0_49
| spl0_48 ),
inference(rat,[],[s394,s40,s3,s2,s78,s135,s113,s236,s4,s117,s118,s10,s61,s51,s199,s30,s21,s39,s80,s774,s778,s779,s768]) ).
cnf(s782,plain,
~ spl0_47,
inference(rat,[],[s750,s626,s769]) ).
cnf(s783,plain,
~ spl0_10,
inference(rat,[],[s61,s782]) ).
cnf(s784,plain,
( ~ spl0_44
| spl0_12
| ~ spl0_50
| spl0_15 ),
inference(rat,[],[s3,s57,s78,s68,s121,s774]) ).
cnf(s785,plain,
( spl0_49
| spl0_48 ),
inference(rat,[],[s3,s57,s78,s497,s113,s259,s4,s120,s784,s182,s117,s752,s118,s781,s10,s199,s51,s774,s779,s782,s768]) ).
cnf(s786,plain,
( ~ spl0_33
| ~ spl0_41
| spl0_25 ),
inference(rat,[],[s257,s135,s5,s2,s26,s40,s27,s397,s14,s39,s80,s777,s783,s778]) ).
cnf(s787,plain,
( ~ spl0_41
| spl0_48 ),
inference(rat,[],[s63,s40,s26,s2,s5,s135,s134,s46,s78,s3,s182,s786,s39,s14,s30,s80,s51,s97,s785,s783,s778,s777,s774]) ).
cnf(s788,plain,
( ~ spl0_33
| spl0_48 ),
inference(rat,[],[s297,s401,s5,s9,s122,s26,s243,s682,s27,s88,s97,s66,s187,s785,s787,s777]) ).
cnf(s789,plain,
( ~ spl0_24
| spl0_48 ),
inference(rat,[],[s46,s135,s3,s2,s40,s57,s39,s188,s321,s106,s122,s51,s785,s182,s788,s774,s783,s778]) ).
cnf(s790,plain,
( ~ spl0_40
| spl0_48 ),
inference(rat,[],[s9,s401,s547,s66,s187,s785,s787,s646,s789]) ).
cnf(s791,plain,
spl0_48,
inference(rat,[],[s9,s84,s536,s26,s5,s297,s790,s646,s789,s787,s66,s97,s187,s785,s777]) ).
cnf(s794,plain,
~ spl0_25,
inference(rat,[],[s101,s791]) ).
cnf(s796,plain,
~ spl0_35,
inference(rat,[],[s55,s791]) ).
cnf(s799,plain,
~ spl0_22,
inference(rat,[],[s26,s796]) ).
cnf(s801,plain,
~ spl0_41,
inference(rat,[],[s297,s5,s713,s14,s794,s777,s799,s791]) ).
cnf(s803,plain,
spl0_17,
inference(rat,[],[s747,s120,s259,s231,s560,s122,s5,s765,s791,s794,s777,s799]) ).
cnf(s804,plain,
~ spl0_44,
inference(rat,[],[s305,s803]) ).
cnf(s807,plain,
spl0_34,
inference(rat,[],[s117,s803]) ).
cnf(s809,plain,
~ spl0_43,
inference(rat,[],[s736,s791,s807]) ).
cnf(s810,plain,
~ spl0_42,
inference(rat,[],[s347,s791,s807]) ).
cnf(s812,plain,
~ spl0_45,
inference(rat,[],[s152,s791,s807]) ).
cnf(s816,plain,
$false,
inference(rat,[],[s9,s804,s809,s801,s810,s812]) ).
fof(f2956,plain,
$false,
inference(avatar_sat_refutation,[],[s816]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG079+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.16 % Computer : n020.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 19:26:04 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 Running first-order model finding
% 0.10/0.19 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
% 0.46/0.29 % (450400)Will run a generic schedule for satisfiability detection.
% 0.46/0.29 % (450406)% WARNING: option uhcvi not known.
% 0.46/0.29 % (450409)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2428053292:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.46/0.29 % (450405)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=916444158_2999 on theBenchmark for (2999ds/0Mi)
% 0.46/0.29 % (450408)dis+10_1_sil=32000:sp=arity:random_seed=2784676006:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.46/0.29 % (450407)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2247107099:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.46/0.29 % (450410)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2653573334:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.46/0.29 % (450406)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1773368011:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.46/0.29 % (450411)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3338305115:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.46/0.29 % Detected minimum model sizes of [10]
% 0.46/0.29 % Detected maximum model sizes of [max]
% 0.46/0.29 % TRYING [10]
% 0.46/0.29 % (450409) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-450400-450409"...
% 0.46/0.29 % (450408)Instruction limit reached!
% 0.46/0.29 % (450408)------------------------------
% 0.46/0.29 % (450408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.29 % (450408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.29 % (450408)CaDiCaL version: 2.1.3
% 0.46/0.29 % (450408)Termination reason: Instruction limit
% 0.46/0.29 % (450408)Termination phase: Saturation
% 0.46/0.29 % (450408)Time elapsed: 0.052 s
% 0.46/0.29 % (450408)Peak memory usage: 12 MB
% 0.46/0.29 % (450408)Instructions burned: 104 (million)
% 0.46/0.29 % (450409)...printing done.
% 0.46/0.29 % (450409)Refutation found. Thanks to Tanya!
% 0.46/0.29 % SZS status Theorem for theBenchmark
% 0.46/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.46/0.30 % (450409)------------------------------
% 0.46/0.30 % (450409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.30 % (450409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.30 % (450409)CaDiCaL version: 2.1.3
% 0.46/0.30 % (450409)Termination reason: Refutation
% 0.46/0.30 % (450409)Time elapsed: 0.055 s
% 0.46/0.30 % (450409)Peak memory usage: 13 MB
% 0.46/0.30 % (450409)Instructions burned: 106 (million)
% 0.46/0.30 % (450400)Success in time 0.091 s
% 0.46/0.30 % Vampire exiting
%------------------------------------------------------------------------------