%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG083+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 09:21:25 AM UTC 2026
% Result : Theorem 0.19s 0.31s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 55
% Syntax : Number of formulae : 957 ( 81 unt; 50 def)
% Number of atoms : 2975 (1032 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 3528 (1510 ~;1626 |; 340 &)
% ( 50 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 52 ( 50 usr; 51 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e10,e14) = e14
& op1(e11,e10) = e11
& op1(e11,e11) = e14
& op1(e11,e12) = e10
& op1(e11,e13) = e12
& op1(e11,e14) = e13
& op1(e12,e10) = e12
& op1(e12,e11) = e10
& op1(e12,e12) = e13
& op1(e12,e13) = e14
& op1(e12,e14) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e14
& op1(e13,e13) = e11
& op1(e13,e14) = e10
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e10
& op1(e14,e14) = e12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e20,e24) = e24
& op2(e21,e20) = e21
& op2(e21,e21) = e20
& op2(e21,e22) = e24
& op2(e21,e23) = e22
& op2(e21,e24) = e23
& op2(e22,e20) = e22
& op2(e22,e21) = e24
& op2(e22,e22) = e23
& op2(e22,e23) = e20
& op2(e22,e24) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e22
& op2(e23,e22) = e21
& op2(e23,e23) = e24
& op2(e23,e24) = e20
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e20
& op2(e24,e23) = e21
& op2(e24,e24) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
e12 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f12,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f14,plain,
e11 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f15,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f16,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f17,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
e23 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
e22 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f22,plain,
e22 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f28,plain,
e20 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
e20 != e21,
inference(cnf_transformation,[],[f2]) ).
fof(f55,plain,
e12 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f56,plain,
e10 = op1(e14,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f57,plain,
e11 = op1(e14,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f58,plain,
e13 = op1(e14,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f60,plain,
e10 = op1(e13,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f61,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f63,plain,
e12 = op1(e13,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f64,plain,
e13 = op1(e13,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f65,plain,
e11 = op1(e12,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f68,plain,
e10 = op1(e12,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f71,plain,
e12 = op1(e11,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f72,plain,
e10 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f74,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f79,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f80,plain,
e22 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e21 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
e20 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
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(f185,plain,
( e22 != h(e10)
| spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
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(f198,plain,
( e20 != h(e11)
| spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f199,plain,
( e20 = h(e11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl0_7
<=> e21 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f202,plain,
( e21 != h(e11)
| spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f203,plain,
( e21 = h(e11)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl0_8
<=> e22 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f207,plain,
( e22 = h(e11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_9
<=> e23 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f211,plain,
( e23 = h(e11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_10
<=> e24 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f214,plain,
( e24 != h(e11)
| spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
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(f241,plain,
( e20 = h(e13)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f243,definition,
( spl0_17
<=> e21 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f244,plain,
( e21 != h(e13)
| spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f245,plain,
( e21 = h(e13)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl0_18
<=> e22 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f248,plain,
( e22 != h(e13)
| spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f249,plain,
( e22 = h(e13)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl0_19
<=> e23 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(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(f265,plain,
( e21 != h(e14)
| spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( e21 = h(e14)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_23
<=> e22 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f270,plain,
( e22 = h(e14)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_24
<=> e23 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f274,plain,
( e23 = h(e14)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl0_25
<=> e24 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f278,plain,
( e24 = h(e14)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f109,f276,f272,f268,f264,f260]) ).
fof(f281,definition,
( spl0_26
<=> e10 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f283,plain,
( e10 = j(e20)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl0_27
<=> e11 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f287,plain,
( e11 = j(e20)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f289,definition,
( spl0_28
<=> e12 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f291,plain,
( e12 = j(e20)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,definition,
( spl0_29
<=> e13 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f295,plain,
( e13 = j(e20)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl0_30
<=> e14 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f299,plain,
( e14 = j(e20)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f110,f297,f293,f289,f285,f281]) ).
fof(f302,definition,
( spl0_31
<=> e10 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f304,plain,
( e10 = j(e21)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl0_32
<=> e11 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f308,plain,
( e11 = j(e21)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl0_33
<=> e12 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f312,plain,
( e12 = j(e21)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl0_34
<=> e13 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f316,plain,
( e13 = j(e21)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl0_35
<=> e14 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f320,plain,
( e14 = j(e21)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f111,f318,f314,f310,f306,f302]) ).
fof(f323,definition,
( spl0_36
<=> e10 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f325,plain,
( e10 = j(e22)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl0_37
<=> e11 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f328,plain,
( e11 != j(e22)
| spl0_37 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f329,plain,
( e11 = j(e22)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl0_38
<=> e12 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f333,plain,
( e12 = j(e22)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl0_39
<=> e13 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f337,plain,
( e13 = j(e22)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl0_40
<=> e14 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f341,plain,
( e14 = j(e22)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f112,f339,f335,f331,f327,f323]) ).
fof(f344,definition,
( spl0_41
<=> e10 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f346,plain,
( e10 = j(e23)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f348,definition,
( spl0_42
<=> e11 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f350,plain,
( e11 = j(e23)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f352,definition,
( spl0_43
<=> e12 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f354,plain,
( e12 = j(e23)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f356,definition,
( spl0_44
<=> e13 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f358,plain,
( e13 = j(e23)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl0_45
<=> e14 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f362,plain,
( e14 = j(e23)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f113,f360,f356,f352,f348,f344]) ).
fof(f365,definition,
( spl0_46
<=> e10 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f367,plain,
( e10 = j(e24)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl0_47
<=> e11 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f371,plain,
( e11 = j(e24)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f373,definition,
( spl0_48
<=> e12 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f375,plain,
( e12 = j(e24)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f377,definition,
( spl0_49
<=> e13 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f378,plain,
( e13 != j(e24)
| spl0_49 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f379,plain,
( e13 = j(e24)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f381,definition,
( spl0_50
<=> e14 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f383,plain,
( e14 = j(e24)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f384,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f114,f381,f377,f373,f369,f365]) ).
fof(f385,plain,
( e14 = j(e20)
| ~ spl0_21 ),
inference(superposition,[],[f115,f262]) ).
fof(f386,plain,
( e10 = e14
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f385,f283]) ).
fof(f387,plain,
( $false
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f386,f16]) ).
fof(f388,plain,
( ~ spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f390,plain,
( e14 = j(e21)
| ~ spl0_22 ),
inference(superposition,[],[f115,f266]) ).
fof(f391,plain,
( e10 = e14
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_demodulation,[],[f390,f304]) ).
fof(f392,plain,
( $false
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f391,f16]) ).
fof(f393,plain,
( ~ spl0_22
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f396,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f397,plain,
( e10 = e14
| ~ spl0_23
| ~ spl0_36 ),
inference(forward_demodulation,[],[f396,f325]) ).
fof(f398,plain,
( $false
| ~ spl0_23
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f397,f16]) ).
fof(f399,plain,
( ~ spl0_23
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f403,plain,
( e14 = j(e23)
| ~ spl0_24 ),
inference(superposition,[],[f115,f274]) ).
fof(f404,plain,
( e10 = e14
| ~ spl0_24
| ~ spl0_41 ),
inference(forward_demodulation,[],[f403,f346]) ).
fof(f405,plain,
( $false
| ~ spl0_24
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f404,f16]) ).
fof(f406,plain,
( ~ spl0_24
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f411,plain,
( e14 = j(e24)
| ~ spl0_25 ),
inference(superposition,[],[f115,f278]) ).
fof(f415,plain,
( spl0_30
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f385,f260,f297]) ).
fof(f426,plain,
( e13 = j(e20)
| ~ spl0_16 ),
inference(superposition,[],[f116,f241]) ).
fof(f427,plain,
( spl0_29
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f426,f239,f293]) ).
fof(f429,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(superposition,[],[f116,f245]) ).
fof(f430,plain,
( e10 = e13
| ~ spl0_17
| ~ spl0_31 ),
inference(forward_demodulation,[],[f429,f304]) ).
fof(f431,plain,
( $false
| ~ spl0_17
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f430,f17]) ).
fof(f432,plain,
( ~ spl0_17
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f435,plain,
( e13 = j(e22)
| ~ spl0_18 ),
inference(superposition,[],[f116,f249]) ).
fof(f436,plain,
( e10 = e13
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_demodulation,[],[f435,f325]) ).
fof(f437,plain,
( $false
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f436,f17]) ).
fof(f438,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f442,plain,
( e13 = j(e23)
| ~ spl0_19 ),
inference(superposition,[],[f116,f253]) ).
fof(f443,plain,
( e10 = e13
| ~ spl0_19
| ~ spl0_41 ),
inference(forward_demodulation,[],[f442,f346]) ).
fof(f444,plain,
( $false
| ~ spl0_19
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f443,f17]) ).
fof(f445,plain,
( ~ spl0_19
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f450,plain,
( e13 = j(e24)
| ~ spl0_20 ),
inference(superposition,[],[f116,f257]) ).
fof(f459,plain,
( e13 = e14
| ~ spl0_29
| ~ spl0_30 ),
inference(superposition,[],[f295,f299]) ).
fof(f465,plain,
( $false
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f459,f10]) ).
fof(f466,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f465]) ).
fof(f467,plain,
( spl0_35
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f390,f264,f318]) ).
fof(f470,plain,
( e12 = e14
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_demodulation,[],[f320,f312]) ).
fof(f471,plain,
( $false
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f470,f11]) ).
fof(f472,plain,
( ~ spl0_33
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f479,plain,
( e12 = j(e20)
| ~ spl0_11 ),
inference(superposition,[],[f117,f220]) ).
fof(f480,plain,
( spl0_28
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f479,f218,f289]) ).
fof(f482,plain,
( e12 = j(e22)
| ~ spl0_13 ),
inference(superposition,[],[f117,f228]) ).
fof(f483,plain,
( e10 = e12
| ~ spl0_13
| ~ spl0_36 ),
inference(forward_demodulation,[],[f482,f325]) ).
fof(f484,plain,
( $false
| ~ spl0_13
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f483,f18]) ).
fof(f485,plain,
( ~ spl0_13
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f484]) ).
fof(f488,plain,
( e12 = j(e23)
| ~ spl0_14 ),
inference(superposition,[],[f117,f232]) ).
fof(f489,plain,
( e10 = e12
| ~ spl0_14
| ~ spl0_41 ),
inference(forward_demodulation,[],[f488,f346]) ).
fof(f490,plain,
( $false
| ~ spl0_14
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f489,f18]) ).
fof(f491,plain,
( ~ spl0_14
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f493,plain,
( e11 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f118,f199]) ).
fof(f497,plain,
( e11 = j(e24)
| ~ spl0_10 ),
inference(superposition,[],[f118,f215]) ).
fof(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(f558,plain,
( op1(e10,e10) = j(op2(e24,e24))
| ~ spl0_46 ),
inference(superposition,[],[f125,f367]) ).
fof(f559,plain,
( op1(e10,e10) = j(e22)
| ~ spl0_46 ),
inference(forward_demodulation,[],[f558,f80]) ).
fof(f560,plain,
( e11 = op1(e10,e10)
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f559,f329]) ).
fof(f561,plain,
( e10 = e11
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f560,f79]) ).
fof(f562,plain,
( $false
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f561,f19]) ).
fof(f563,plain,
( ~ spl0_37
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f564,plain,
( $false
| ~ spl0_8
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f541,f328]) ).
fof(f565,plain,
( ~ spl0_8
| spl0_37 ),
inference(avatar_contradiction_clause,[],[f564]) ).
fof(f566,plain,
( e13 = op1(e10,e10)
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f559,f337]) ).
fof(f567,plain,
( e10 = e13
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f566,f79]) ).
fof(f568,plain,
( $false
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f567,f17]) ).
fof(f569,plain,
( ~ spl0_39
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f568]) ).
fof(f572,plain,
( e12 = op1(e10,e10)
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f559,f333]) ).
fof(f575,plain,
( e10 = e12
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f572,f79]) ).
fof(f576,plain,
( $false
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f575,f18]) ).
fof(f577,plain,
( ~ spl0_38
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f578,plain,
( spl0_41
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f519,f188,f344]) ).
fof(f596,plain,
( e12 = j(e24)
| ~ spl0_15 ),
inference(superposition,[],[f117,f236]) ).
fof(f597,plain,
( e11 = e14
| ~ spl0_32
| ~ spl0_35 ),
inference(superposition,[],[f308,f320]) ).
fof(f599,plain,
( e11 = e14
| ~ spl0_32
| ~ spl0_35 ),
inference(superposition,[],[f320,f308]) ).
fof(f602,plain,
( $false
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f599,f13]) ).
fof(f603,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f602]) ).
fof(f604,plain,
( $false
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f597,f13]) ).
fof(f605,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f604]) ).
fof(f606,plain,
( spl0_47
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f497,f213,f369]) ).
fof(f610,plain,
( spl0_27
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f493,f197,f285]) ).
fof(f617,plain,
( e20 = h(e11)
| ~ spl0_27 ),
inference(superposition,[],[f124,f287]) ).
fof(f623,plain,
( e10 = e11
| ~ spl0_9
| ~ spl0_41 ),
inference(forward_demodulation,[],[f530,f346]) ).
fof(f628,plain,
( $false
| ~ spl0_9
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f623,f19]) ).
fof(f629,plain,
( ~ spl0_9
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f636,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f119,f186]) ).
fof(f642,plain,
( e22 = h(e10)
| ~ spl0_36 ),
inference(superposition,[],[f122,f325]) ).
fof(f657,plain,
( e23 = h(e11)
| ~ spl0_42 ),
inference(superposition,[],[f121,f350]) ).
fof(f661,plain,
( e24 = h(e12)
| ~ spl0_48 ),
inference(superposition,[],[f120,f375]) ).
fof(f664,plain,
( j(op2(e24,e23)) = op1(e12,j(e23))
| ~ spl0_48 ),
inference(superposition,[],[f126,f375]) ).
fof(f667,plain,
( op1(e12,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f664,f350]) ).
fof(f669,plain,
( op1(e12,e11) = j(e21)
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f667,f81]) ).
fof(f671,plain,
( e14 = op1(e12,e11)
| ~ spl0_35
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f669,f320]) ).
fof(f673,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f671,f68]) ).
fof(f676,plain,
( $false
| ~ spl0_35
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f673,f16]) ).
fof(f677,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f676]) ).
fof(f678,plain,
( spl0_46
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f525,f192,f365]) ).
fof(f695,plain,
( spl0_43
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f488,f230,f352]) ).
fof(f697,plain,
( spl0_39
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f435,f247,f335]) ).
fof(f705,plain,
( e12 = e13
| ~ spl0_19
| ~ spl0_43 ),
inference(forward_demodulation,[],[f442,f354]) ).
fof(f707,plain,
( $false
| ~ spl0_19
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f705,f12]) ).
fof(f708,plain,
( ~ spl0_19
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f707]) ).
fof(f709,plain,
( spl0_38
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f482,f226,f331]) ).
fof(f711,plain,
( spl0_44
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f442,f251,f356]) ).
fof(f732,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
fof(f735,plain,
( spl0_34
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f429,f243,f314]) ).
fof(f747,plain,
( e13 = e14
| ~ spl0_34
| ~ spl0_35 ),
inference(superposition,[],[f316,f320]) ).
fof(f748,plain,
( e21 = h(e13)
| ~ spl0_34 ),
inference(superposition,[],[f123,f316]) ).
fof(f749,plain,
( e13 = e14
| ~ spl0_34
| ~ spl0_35 ),
inference(superposition,[],[f320,f316]) ).
fof(f752,plain,
( $false
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f749,f10]) ).
fof(f753,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f752]) ).
fof(f754,plain,
( $false
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f747,f10]) ).
fof(f755,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f754]) ).
fof(f762,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f790,plain,
( e20 = h(e12)
| ~ spl0_28 ),
inference(superposition,[],[f124,f291]) ).
fof(f806,plain,
( e11 = e13
| ~ spl0_32
| ~ spl0_34 ),
inference(superposition,[],[f308,f316]) ).
fof(f813,plain,
( $false
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f806,f14]) ).
fof(f814,plain,
( ~ spl0_32
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f813]) ).
fof(f816,plain,
( spl0_33
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f732,f222,f310]) ).
fof(f828,plain,
( e11 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f118,f199]) ).
fof(f832,plain,
( e12 = e13
| ~ spl0_33
| ~ spl0_34 ),
inference(superposition,[],[f312,f316]) ).
fof(f833,plain,
( e12 = e13
| ~ spl0_33
| ~ spl0_34 ),
inference(superposition,[],[f316,f312]) ).
fof(f834,plain,
( e21 = h(e12)
| ~ spl0_33 ),
inference(superposition,[],[f123,f312]) ).
fof(f836,plain,
( $false
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f833,f12]) ).
fof(f837,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f838,plain,
( $false
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f832,f12]) ).
fof(f839,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f848,plain,
( j(op2(e24,e23)) = op1(j(e24),e13)
| ~ spl0_44 ),
inference(superposition,[],[f126,f358]) ).
fof(f850,plain,
( e23 = h(e13)
| ~ spl0_44 ),
inference(superposition,[],[f121,f358]) ).
fof(f872,plain,
( op1(e10,e10) = j(op2(e24,e24))
| ~ spl0_46 ),
inference(superposition,[],[f125,f367]) ).
fof(f873,plain,
( e24 = h(e10)
| ~ spl0_46 ),
inference(superposition,[],[f120,f367]) ).
fof(f874,plain,
( op1(e10,e10) = j(e22)
| ~ spl0_46 ),
inference(forward_demodulation,[],[f872,f80]) ).
fof(f876,plain,
( e14 = op1(e10,e10)
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f874,f341]) ).
fof(f878,plain,
( e10 = e14
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f876,f79]) ).
fof(f880,plain,
( $false
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f878,f16]) ).
fof(f881,plain,
( ~ spl0_40
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f880]) ).
fof(f882,plain,
( e13 = e14
| ~ spl0_24
| ~ spl0_44 ),
inference(forward_demodulation,[],[f403,f358]) ).
fof(f883,plain,
( $false
| spl0_3
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f642,f185]) ).
fof(f884,plain,
( spl0_3
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f883]) ).
fof(f890,plain,
( $false
| ~ spl0_24
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f882,f10]) ).
fof(f891,plain,
( ~ spl0_24
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f890]) ).
fof(f912,plain,
( e22 = e24
| ~ spl0_3
| ~ spl0_46 ),
inference(forward_demodulation,[],[f873,f186]) ).
fof(f915,plain,
( $false
| ~ spl0_3
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f912,f21]) ).
fof(f916,plain,
( ~ spl0_3
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f915]) ).
fof(f917,plain,
( spl0_31
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f502,f180,f302]) ).
fof(f936,plain,
( op1(e14,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f848,f383]) ).
fof(f938,plain,
( op1(e14,e13) = j(e21)
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f936,f81]) ).
fof(f939,plain,
( e12 = op1(e14,e13)
| ~ spl0_33
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f938,f312]) ).
fof(f940,plain,
( e10 = e12
| ~ spl0_33
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f939,f56]) ).
fof(f941,plain,
( $false
| ~ spl0_33
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f940,f18]) ).
fof(f942,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f941]) ).
fof(f957,plain,
( e10 = e12
| ~ spl0_31
| ~ spl0_33 ),
inference(superposition,[],[f304,f312]) ).
fof(f959,plain,
( e21 = h(e10)
| ~ spl0_31 ),
inference(superposition,[],[f123,f304]) ).
fof(f962,plain,
( $false
| ~ spl0_31
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f957,f18]) ).
fof(f963,plain,
( ~ spl0_31
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f962]) ).
fof(f964,plain,
( $false
| ~ spl0_20
| spl0_49 ),
inference(forward_subsumption_resolution,[],[f450,f378]) ).
fof(f965,plain,
( ~ spl0_20
| spl0_49 ),
inference(avatar_contradiction_clause,[],[f964]) ).
fof(f972,plain,
( e11 = e13
| ~ spl0_47
| ~ spl0_49 ),
inference(forward_demodulation,[],[f379,f371]) ).
fof(f977,plain,
( $false
| ~ spl0_47
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f972,f14]) ).
fof(f978,plain,
( ~ spl0_47
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f1010,plain,
( e22 = h(e13)
| ~ spl0_39 ),
inference(superposition,[],[f122,f337]) ).
fof(f1011,plain,
( j(op2(e24,e23)) = op1(j(e24),e10)
| ~ spl0_41 ),
inference(superposition,[],[f126,f346]) ).
fof(f1013,plain,
( op1(e11,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1011,f371]) ).
fof(f1014,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1013,f81]) ).
fof(f1015,plain,
( e12 = op1(e11,e10)
| ~ spl0_33
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1014,f312]) ).
fof(f1016,plain,
( e11 = e12
| ~ spl0_33
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1015,f74]) ).
fof(f1017,plain,
( $false
| ~ spl0_33
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1016,f15]) ).
fof(f1018,plain,
( ~ spl0_33
| ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1017]) ).
fof(f1019,plain,
( spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f506,f176,f281]) ).
fof(f1023,plain,
( spl0_9
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f657,f348,f209]) ).
fof(f1034,plain,
( e13 = e14
| ~ spl0_23
| ~ spl0_39 ),
inference(forward_demodulation,[],[f762,f337]) ).
fof(f1037,plain,
( e22 = e23
| ~ spl0_18
| ~ spl0_44 ),
inference(forward_demodulation,[],[f850,f249]) ).
fof(f1047,plain,
( $false
| ~ spl0_23
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1034,f10]) ).
fof(f1048,plain,
( ~ spl0_23
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1047]) ).
fof(f1049,plain,
( $false
| ~ spl0_18
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1037,f22]) ).
fof(f1050,plain,
( ~ spl0_18
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1049]) ).
fof(f1061,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f1078,plain,
( e24 = h(e11)
| ~ spl0_47 ),
inference(superposition,[],[f120,f371]) ).
fof(f1094,plain,
( j(op2(e24,e21)) = op1(e11,j(e21))
| ~ spl0_47 ),
inference(superposition,[],[f128,f371]) ).
fof(f1097,plain,
( op1(e11,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1094,f312]) ).
fof(f1099,plain,
( op1(e11,e12) = j(e23)
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1097,f83]) ).
fof(f1101,plain,
( e13 = op1(e11,e12)
| ~ spl0_33
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1099,f358]) ).
fof(f1103,plain,
( e10 = e13
| ~ spl0_33
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1101,f72]) ).
fof(f1106,plain,
( $false
| ~ spl0_33
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1103,f17]) ).
fof(f1107,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1106]) ).
fof(f1109,plain,
( spl0_45
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f403,f272,f360]) ).
fof(f1114,plain,
( e14 = op1(e11,e12)
| ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1099,f362]) ).
fof(f1121,plain,
( e10 = e14
| ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1114,f72]) ).
fof(f1126,plain,
( $false
| ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1121,f16]) ).
fof(f1127,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1126]) ).
fof(f1131,plain,
( e11 = e14
| ~ spl0_47
| ~ spl0_50 ),
inference(forward_demodulation,[],[f383,f371]) ).
fof(f1137,plain,
( $false
| spl0_12
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f834,f223]) ).
fof(f1138,plain,
( spl0_12
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f1137]) ).
fof(f1141,plain,
( $false
| ~ spl0_47
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1131,f13]) ).
fof(f1142,plain,
( ~ spl0_47
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1141]) ).
fof(f1157,plain,
( e10 = e11
| ~ spl0_6
| ~ spl0_26 ),
inference(forward_demodulation,[],[f828,f283]) ).
fof(f1173,plain,
( $false
| ~ spl0_6
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1157,f19]) ).
fof(f1174,plain,
( ~ spl0_6
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1173]) ).
fof(f1179,plain,
( spl0_36
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f636,f184,f323]) ).
fof(f1181,plain,
( $false
| spl0_18
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1010,f248]) ).
fof(f1182,plain,
( spl0_18
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1181]) ).
fof(f1214,plain,
( e23 = h(e14)
| ~ spl0_45 ),
inference(superposition,[],[f121,f362]) ).
fof(f1215,plain,
( j(op2(e24,e23)) = op1(j(e24),e14)
| ~ spl0_45 ),
inference(superposition,[],[f126,f362]) ).
fof(f1220,plain,
( op1(e13,e14) = j(op2(e24,e23))
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1215,f379]) ).
fof(f1221,plain,
( op1(e13,e14) = j(e21)
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1220,f81]) ).
fof(f1222,plain,
( e12 = op1(e13,e14)
| ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1221,f312]) ).
fof(f1223,plain,
( e10 = e12
| ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1222,f60]) ).
fof(f1224,plain,
( $false
| ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1223,f18]) ).
fof(f1225,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1224]) ).
fof(f1231,plain,
( e13 = e14
| ~ spl0_49
| ~ spl0_50 ),
inference(forward_demodulation,[],[f383,f379]) ).
fof(f1241,plain,
( $false
| ~ spl0_49
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1231,f10]) ).
fof(f1242,plain,
( ~ spl0_49
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1241]) ).
fof(f1249,plain,
( spl0_37
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f541,f205,f327]) ).
fof(f1286,plain,
( e11 = e13
| ~ spl0_42
| ~ spl0_44 ),
inference(forward_demodulation,[],[f358,f350]) ).
fof(f1287,plain,
( e21 = e24
| ~ spl0_12
| ~ spl0_48 ),
inference(forward_demodulation,[],[f661,f224]) ).
fof(f1296,plain,
( $false
| ~ spl0_42
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1286,f14]) ).
fof(f1297,plain,
( ~ spl0_42
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1296]) ).
fof(f1298,plain,
( $false
| ~ spl0_12
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1287,f23]) ).
fof(f1299,plain,
( ~ spl0_12
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1298]) ).
fof(f1304,plain,
( e11 = e13
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_demodulation,[],[f337,f329]) ).
fof(f1314,plain,
( $false
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1304,f14]) ).
fof(f1315,plain,
( ~ spl0_37
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1314]) ).
fof(f1318,plain,
( spl0_49
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f450,f255,f377]) ).
fof(f1321,plain,
( e11 = e14
| ~ spl0_23
| ~ spl0_37 ),
inference(forward_demodulation,[],[f1061,f329]) ).
fof(f1322,plain,
( $false
| spl0_11
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f790,f219]) ).
fof(f1323,plain,
( spl0_11
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1322]) ).
fof(f1334,plain,
( $false
| ~ spl0_23
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1321,f13]) ).
fof(f1335,plain,
( ~ spl0_23
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1334]) ).
fof(f1358,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f1361,plain,
( e20 = h(e11)
| ~ spl0_27 ),
inference(superposition,[],[f124,f287]) ).
fof(f1379,plain,
( e12 = e14
| ~ spl0_23
| ~ spl0_38 ),
inference(forward_demodulation,[],[f1358,f333]) ).
fof(f1390,plain,
( $false
| ~ spl0_23
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1379,f11]) ).
fof(f1391,plain,
( ~ spl0_23
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f1390]) ).
fof(f1411,plain,
( e20 = h(e10)
| ~ spl0_26 ),
inference(superposition,[],[f124,f283]) ).
fof(f1427,plain,
( e24 = h(e13)
| ~ spl0_49 ),
inference(superposition,[],[f120,f379]) ).
fof(f1428,plain,
( op1(e13,e13) = j(op2(e24,e24))
| ~ spl0_49 ),
inference(superposition,[],[f125,f379]) ).
fof(f1438,plain,
( op1(e13,e13) = j(e22)
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1428,f80]) ).
fof(f1442,plain,
( e14 = op1(e13,e13)
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1438,f341]) ).
fof(f1446,plain,
( e11 = e14
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1442,f61]) ).
fof(f1447,plain,
( $false
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1446,f13]) ).
fof(f1448,plain,
( ~ spl0_40
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1447]) ).
fof(f1450,plain,
( spl0_50
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f411,f276,f381]) ).
fof(f1476,plain,
( op1(e14,e14) = j(op2(e24,e24))
| ~ spl0_50 ),
inference(superposition,[],[f125,f383]) ).
fof(f1487,plain,
( op1(e14,e14) = j(e22)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1476,f80]) ).
fof(f1491,plain,
( e13 = op1(e14,e14)
| ~ spl0_39
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1487,f337]) ).
fof(f1495,plain,
( e12 = e13
| ~ spl0_39
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1491,f55]) ).
fof(f1496,plain,
( $false
| ~ spl0_39
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1495,f12]) ).
fof(f1497,plain,
( ~ spl0_39
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1496]) ).
fof(f1539,plain,
( e23 = h(e10)
| ~ spl0_41 ),
inference(superposition,[],[f121,f346]) ).
fof(f1545,plain,
( j(op2(e24,e20)) = op1(e14,j(e20))
| ~ spl0_50 ),
inference(superposition,[],[f129,f383]) ).
fof(f1548,plain,
( op1(e14,e13) = j(op2(e24,e20))
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1545,f295]) ).
fof(f1550,plain,
( op1(e14,e13) = j(e24)
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1548,f84]) ).
fof(f1552,plain,
( e14 = op1(e14,e13)
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1550,f383]) ).
fof(f1554,plain,
( e10 = e14
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1552,f56]) ).
fof(f1557,plain,
( $false
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1554,f16]) ).
fof(f1558,plain,
( ~ spl0_29
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1557]) ).
fof(f1563,plain,
( $false
| spl0_10
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1078,f214]) ).
fof(f1564,plain,
( spl0_10
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1563]) ).
fof(f1593,plain,
( e23 = e24
| ~ spl0_9
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1078,f211]) ).
fof(f1596,plain,
( $false
| ~ spl0_9
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1593,f20]) ).
fof(f1597,plain,
( ~ spl0_9
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1596]) ).
fof(f1628,plain,
( j(op2(e24,e21)) = op1(j(e24),e14)
| ~ spl0_35 ),
inference(superposition,[],[f128,f320]) ).
fof(f1629,plain,
( e21 = h(e14)
| ~ spl0_35 ),
inference(superposition,[],[f123,f320]) ).
fof(f1634,plain,
( j(op2(e24,e22)) = op1(j(e24),e10)
| ~ spl0_36 ),
inference(superposition,[],[f127,f325]) ).
fof(f1636,plain,
( op1(e11,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1634,f371]) ).
fof(f1637,plain,
( op1(e11,e10) = j(e20)
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1636,f82]) ).
fof(f1638,plain,
( e13 = op1(e11,e10)
| ~ spl0_29
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1637,f295]) ).
fof(f1639,plain,
( e11 = e13
| ~ spl0_29
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1638,f74]) ).
fof(f1640,plain,
( $false
| ~ spl0_29
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1639,f14]) ).
fof(f1641,plain,
( ~ spl0_29
| ~ spl0_36
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1640]) ).
fof(f1654,plain,
( e11 = e12
| ~ spl0_15
| ~ spl0_47 ),
inference(forward_demodulation,[],[f596,f371]) ).
fof(f1655,plain,
( $false
| spl0_6
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f617,f198]) ).
fof(f1656,plain,
( spl0_6
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1655]) ).
fof(f1663,plain,
( $false
| spl0_6
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1361,f198]) ).
fof(f1664,plain,
( spl0_6
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1663]) ).
fof(f1671,plain,
( $false
| ~ spl0_15
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1654,f15]) ).
fof(f1672,plain,
( ~ spl0_15
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1671]) ).
fof(f1676,plain,
( j(e23) = op1(j(e24),e14)
| ~ spl0_35 ),
inference(forward_demodulation,[],[f1628,f83]) ).
fof(f1678,plain,
( spl0_48
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f596,f234,f373]) ).
fof(f1679,plain,
( op1(e12,e14) = j(e23)
| ~ spl0_35
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1676,f375]) ).
fof(f1681,plain,
( e13 = op1(e12,e14)
| ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1679,f358]) ).
fof(f1683,plain,
( e11 = e13
| ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1681,f65]) ).
fof(f1684,plain,
( $false
| ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1683,f14]) ).
fof(f1685,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1684]) ).
fof(f1712,plain,
( j(op2(e24,e20)) = op1(j(e24),e12)
| ~ spl0_28 ),
inference(superposition,[],[f129,f291]) ).
fof(f1715,plain,
( op1(e14,e12) = j(op2(e24,e20))
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1712,f383]) ).
fof(f1716,plain,
( op1(e14,e12) = j(e24)
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1715,f84]) ).
fof(f1717,plain,
( e14 = op1(e14,e12)
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1716,f383]) ).
fof(f1718,plain,
( e11 = e14
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1717,f57]) ).
fof(f1719,plain,
( $false
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1718,f13]) ).
fof(f1720,plain,
( ~ spl0_28
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1719]) ).
fof(f1724,plain,
( $false
| spl0_1
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1411,f177]) ).
fof(f1725,plain,
( spl0_1
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1724]) ).
fof(f1746,plain,
( e20 = e21
| ~ spl0_1
| ~ spl0_31 ),
inference(forward_demodulation,[],[f959,f178]) ).
fof(f1749,plain,
( $false
| ~ spl0_1
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f1746,f29]) ).
fof(f1750,plain,
( ~ spl0_1
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f1749]) ).
fof(f1763,plain,
( e21 = h(e11)
| ~ spl0_32 ),
inference(superposition,[],[f123,f308]) ).
fof(f1768,plain,
( j(op2(e24,e22)) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f127,f333]) ).
fof(f1769,plain,
( e22 = h(e12)
| ~ spl0_38 ),
inference(superposition,[],[f122,f333]) ).
fof(f1770,plain,
( op1(e14,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1768,f383]) ).
fof(f1771,plain,
( op1(e14,e12) = j(e20)
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1770,f82]) ).
fof(f1774,plain,
( j(op2(e24,e23)) = op1(j(e24),e13)
| ~ spl0_44 ),
inference(superposition,[],[f126,f358]) ).
fof(f1778,plain,
( op1(e14,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1774,f383]) ).
fof(f1779,plain,
( op1(e14,e13) = j(e21)
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1778,f81]) ).
fof(f1780,plain,
( e11 = op1(e14,e13)
| ~ spl0_32
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1779,f308]) ).
fof(f1781,plain,
( e10 = e11
| ~ spl0_32
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1780,f56]) ).
fof(f1782,plain,
( $false
| ~ spl0_32
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1781,f19]) ).
fof(f1783,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1782]) ).
fof(f1803,plain,
( j(op2(e24,e20)) = op1(j(e24),e11)
| ~ spl0_27 ),
inference(superposition,[],[f129,f287]) ).
fof(f1805,plain,
( op1(e14,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1803,f383]) ).
fof(f1806,plain,
( op1(e14,e11) = j(e24)
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1805,f84]) ).
fof(f1807,plain,
( e14 = op1(e14,e11)
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1806,f383]) ).
fof(f1808,plain,
( e13 = e14
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1807,f58]) ).
fof(f1809,plain,
( $false
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1808,f10]) ).
fof(f1810,plain,
( ~ spl0_27
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1809]) ).
fof(f1813,plain,
( $false
| spl0_17
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f748,f244]) ).
fof(f1814,plain,
( spl0_17
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1813]) ).
fof(f1832,plain,
( $false
| spl0_22
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1629,f265]) ).
fof(f1833,plain,
( spl0_22
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f1832]) ).
fof(f1836,plain,
( e14 = op1(e14,e13)
| ~ spl0_35
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1779,f320]) ).
fof(f1837,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1836,f56]) ).
fof(f1838,plain,
( $false
| ~ spl0_35
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1837,f16]) ).
fof(f1839,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1838]) ).
fof(f1846,plain,
( e14 = op1(e14,e12)
| ~ spl0_30
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1771,f299]) ).
fof(f1850,plain,
( e11 = e14
| ~ spl0_30
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1846,f57]) ).
fof(f1851,plain,
( $false
| ~ spl0_30
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1850,f13]) ).
fof(f1852,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1851]) ).
fof(f1859,plain,
( op1(e11,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1774,f371]) ).
fof(f1869,plain,
( op1(e11,e13) = j(e21)
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1859,f81]) ).
fof(f1873,plain,
( e20 = e22
| ~ spl0_11
| ~ spl0_38 ),
inference(forward_demodulation,[],[f1769,f220]) ).
fof(f1880,plain,
( $false
| ~ spl0_11
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1873,f28]) ).
fof(f1881,plain,
( ~ spl0_11
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f1880]) ).
fof(f1916,plain,
( spl0_40
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f396,f268,f339]) ).
fof(f1917,plain,
( e10 = e12
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_demodulation,[],[f291,f283]) ).
fof(f1925,plain,
( $false
| spl0_7
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1763,f202]) ).
fof(f1926,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1925]) ).
fof(f1936,plain,
( $false
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1917,f18]) ).
fof(f1937,plain,
( ~ spl0_26
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1936]) ).
fof(f1942,plain,
( e14 = op1(e11,e13)
| ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1869,f320]) ).
fof(f1944,plain,
( e12 = e14
| ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1942,f71]) ).
fof(f1945,plain,
( $false
| ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1944,f11]) ).
fof(f1946,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1945]) ).
fof(f1950,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f959,f302,f180]) ).
fof(f1993,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f1995,plain,
( op1(e11,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1993,f371]) ).
fof(f1996,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1995,f83]) ).
fof(f1997,plain,
( e12 = op1(e11,e10)
| ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1996,f354]) ).
fof(f1998,plain,
( e11 = e12
| ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1997,f74]) ).
fof(f1999,plain,
( $false
| ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1998,f15]) ).
fof(f2000,plain,
( ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1999]) ).
fof(f2038,plain,
( j(op2(e24,e23)) = op1(j(e24),e12)
| ~ spl0_43 ),
inference(superposition,[],[f126,f354]) ).
fof(f2041,plain,
( op1(e11,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2038,f371]) ).
fof(f2042,plain,
( op1(e11,e12) = j(e21)
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2041,f81]) ).
fof(f2043,plain,
( e13 = op1(e11,e12)
| ~ spl0_34
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2042,f316]) ).
fof(f2044,plain,
( e10 = e13
| ~ spl0_34
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2043,f72]) ).
fof(f2045,plain,
( $false
| ~ spl0_34
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2044,f17]) ).
fof(f2046,plain,
( ~ spl0_34
| ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2045]) ).
fof(f2066,plain,
( j(op2(e24,e20)) = op1(j(e24),e12)
| ~ spl0_28 ),
inference(superposition,[],[f129,f291]) ).
fof(f2068,plain,
( op1(e11,e12) = j(op2(e24,e20))
| ~ spl0_28
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2066,f371]) ).
fof(f2069,plain,
( op1(e11,e12) = j(e24)
| ~ spl0_28
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2068,f84]) ).
fof(f2070,plain,
( e11 = op1(e11,e12)
| ~ spl0_28
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2069,f371]) ).
fof(f2071,plain,
( e10 = e11
| ~ spl0_28
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2070,f72]) ).
fof(f2072,plain,
( $false
| ~ spl0_28
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2071,f19]) ).
fof(f2073,plain,
( ~ spl0_28
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2072]) ).
fof(f2097,plain,
( e13 = j(e22)
| ~ spl0_18 ),
inference(superposition,[],[f116,f249]) ).
fof(f2124,plain,
( j(op2(e24,e23)) = op1(j(e24),e12)
| ~ spl0_43 ),
inference(superposition,[],[f126,f354]) ).
fof(f2127,plain,
( op1(e11,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2124,f371]) ).
fof(f2128,plain,
( op1(e11,e12) = j(e21)
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2127,f81]) ).
fof(f2129,plain,
( e14 = op1(e11,e12)
| ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2128,f320]) ).
fof(f2130,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2129,f72]) ).
fof(f2131,plain,
( $false
| ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2130,f16]) ).
fof(f2132,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2131]) ).
fof(f2135,plain,
( e20 = e23
| ~ spl0_1
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1539,f178]) ).
fof(f2142,plain,
( $false
| ~ spl0_1
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2135,f27]) ).
fof(f2143,plain,
( ~ spl0_1
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f2142]) ).
fof(f2153,plain,
( e20 = e24
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f199,f215]) ).
fof(f2161,plain,
( $false
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2153,f26]) ).
fof(f2162,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2161]) ).
fof(f2196,plain,
( j(op2(e24,e22)) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f127,f333]) ).
fof(f2198,plain,
( op1(e11,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2196,f371]) ).
fof(f2199,plain,
( op1(e11,e12) = j(e20)
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2198,f82]) ).
fof(f2200,plain,
( e13 = op1(e11,e12)
| ~ spl0_29
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2199,f295]) ).
fof(f2201,plain,
( e10 = e13
| ~ spl0_29
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2200,f72]) ).
fof(f2202,plain,
( $false
| ~ spl0_29
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2201,f17]) ).
fof(f2203,plain,
( ~ spl0_29
| ~ spl0_38
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2202]) ).
fof(f2208,plain,
( e12 = e13
| ~ spl0_18
| ~ spl0_38 ),
inference(forward_demodulation,[],[f2097,f333]) ).
fof(f2209,plain,
( e21 = e23
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_demodulation,[],[f274,f266]) ).
fof(f2213,plain,
( e21 = e23
| ~ spl0_22
| ~ spl0_45 ),
inference(forward_demodulation,[],[f1214,f266]) ).
fof(f2231,plain,
( $false
| ~ spl0_18
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f2208,f12]) ).
fof(f2232,plain,
( ~ spl0_18
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f2231]) ).
fof(f2233,plain,
( $false
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f2209,f24]) ).
fof(f2234,plain,
( ~ spl0_22
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f2233]) ).
fof(f2239,plain,
( $false
| ~ spl0_22
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f2213,f24]) ).
fof(f2240,plain,
( ~ spl0_22
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f2239]) ).
fof(f2264,plain,
( j(op2(e24,e21)) = op1(j(e24),e13)
| ~ spl0_34 ),
inference(superposition,[],[f128,f316]) ).
fof(f2268,plain,
( op1(e11,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2264,f371]) ).
fof(f2269,plain,
( op1(e11,e13) = j(e23)
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2268,f83]) ).
fof(f2270,plain,
( e14 = op1(e11,e13)
| ~ spl0_34
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2269,f362]) ).
fof(f2271,plain,
( e12 = e14
| ~ spl0_34
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2270,f71]) ).
fof(f2272,plain,
( $false
| ~ spl0_34
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2271,f11]) ).
fof(f2273,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2272]) ).
fof(f2279,plain,
( e21 = e24
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f203,f215]) ).
fof(f2286,plain,
( $false
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2279,f23]) ).
fof(f2287,plain,
( ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2286]) ).
fof(f2310,plain,
( e12 = j(e22)
| ~ spl0_13 ),
inference(superposition,[],[f117,f228]) ).
fof(f2319,plain,
( j(op2(e24,e20)) = op1(j(e24),e14)
| ~ spl0_30 ),
inference(superposition,[],[f129,f299]) ).
fof(f2334,plain,
( j(op2(e24,e22)) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f127,f333]) ).
fof(f2336,plain,
( op1(e11,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2334,f371]) ).
fof(f2337,plain,
( op1(e11,e12) = j(e20)
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2336,f82]) ).
fof(f2338,plain,
( e14 = op1(e11,e12)
| ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2337,f299]) ).
fof(f2339,plain,
( e10 = e14
| ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2338,f72]) ).
fof(f2340,plain,
( $false
| ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2339,f16]) ).
fof(f2341,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2340]) ).
fof(f2346,plain,
( op1(e12,e14) = j(op2(e24,e20))
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2319,f375]) ).
fof(f2351,plain,
( op1(e12,e14) = j(e24)
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2346,f84]) ).
fof(f2354,plain,
( e12 = op1(e12,e14)
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2351,f375]) ).
fof(f2357,plain,
( e11 = e12
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2354,f65]) ).
fof(f2359,plain,
( $false
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2357,f15]) ).
fof(f2360,plain,
( ~ spl0_30
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2359]) ).
fof(f2367,plain,
( op1(e13,e14) = j(op2(e24,e20))
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2319,f379]) ).
fof(f2374,plain,
( op1(e13,e14) = j(e24)
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2367,f84]) ).
fof(f2376,plain,
( e13 = op1(e13,e14)
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2374,f379]) ).
fof(f2378,plain,
( e10 = e13
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2376,f60]) ).
fof(f2379,plain,
( $false
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2378,f17]) ).
fof(f2380,plain,
( ~ spl0_30
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2379]) ).
fof(f2400,plain,
( j(op2(e24,e20)) = op1(j(e24),e11)
| ~ spl0_27 ),
inference(superposition,[],[f129,f287]) ).
fof(f2402,plain,
( op1(e13,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2400,f379]) ).
fof(f2403,plain,
( op1(e13,e11) = j(e24)
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2402,f84]) ).
fof(f2404,plain,
( e13 = op1(e13,e11)
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2403,f379]) ).
fof(f2405,plain,
( e12 = e13
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2404,f63]) ).
fof(f2406,plain,
( $false
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2405,f12]) ).
fof(f2407,plain,
( ~ spl0_27
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2406]) ).
fof(f2432,plain,
( j(op2(e24,e21)) = op1(j(e24),e14)
| ~ spl0_35 ),
inference(superposition,[],[f128,f320]) ).
fof(f2436,plain,
( op1(e13,e14) = j(op2(e24,e21))
| ~ spl0_35
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2432,f379]) ).
fof(f2437,plain,
( op1(e13,e14) = j(e23)
| ~ spl0_35
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2436,f83]) ).
fof(f2438,plain,
( e11 = op1(e13,e14)
| ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2437,f350]) ).
fof(f2439,plain,
( e10 = e11
| ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2438,f60]) ).
fof(f2440,plain,
( $false
| ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2439,f19]) ).
fof(f2441,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2440]) ).
fof(f2479,plain,
( e11 = e14
| ~ spl0_42
| ~ spl0_45 ),
inference(forward_demodulation,[],[f362,f350]) ).
fof(f2487,plain,
( e22 = e24
| ~ spl0_18
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1427,f249]) ).
fof(f2494,plain,
( $false
| ~ spl0_42
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f2479,f13]) ).
fof(f2495,plain,
( ~ spl0_42
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f2494]) ).
fof(f2496,plain,
( $false
| ~ spl0_18
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2487,f21]) ).
fof(f2497,plain,
( ~ spl0_18
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2496]) ).
fof(f2529,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f2532,plain,
( op1(e13,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2529,f379]) ).
fof(f2533,plain,
( op1(e13,e10) = j(e23)
| ~ spl0_31
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2532,f83]) ).
fof(f2534,plain,
( e14 = op1(e13,e10)
| ~ spl0_31
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2533,f362]) ).
fof(f2535,plain,
( e13 = e14
| ~ spl0_31
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2534,f64]) ).
fof(f2536,plain,
( $false
| ~ spl0_31
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2535,f10]) ).
fof(f2537,plain,
( ~ spl0_31
| ~ spl0_45
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2536]) ).
fof(f2543,plain,
( e11 = e12
| ~ spl0_13
| ~ spl0_37 ),
inference(forward_demodulation,[],[f2310,f329]) ).
fof(f2563,plain,
( $false
| ~ spl0_13
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f2543,f15]) ).
fof(f2564,plain,
( ~ spl0_13
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f2563]) ).
fof(f2583,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f2586,plain,
( op1(e13,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2583,f379]) ).
fof(f2587,plain,
( op1(e13,e11) = j(e23)
| ~ spl0_32
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2586,f83]) ).
fof(f2588,plain,
( e14 = op1(e13,e11)
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2587,f362]) ).
fof(f2589,plain,
( e12 = e14
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2588,f63]) ).
fof(f2590,plain,
( $false
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2589,f11]) ).
fof(f2591,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2590]) ).
fof(f2627,plain,
( j(op2(e24,e21)) = op1(j(e24),e14)
| ~ spl0_35 ),
inference(superposition,[],[f128,f320]) ).
fof(f2631,plain,
( op1(e13,e14) = j(op2(e24,e21))
| ~ spl0_35
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2627,f379]) ).
fof(f2632,plain,
( op1(e13,e14) = j(e23)
| ~ spl0_35
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2631,f83]) ).
fof(f2643,plain,
( j(op2(e24,e23)) = op1(j(e24),e10)
| ~ spl0_41 ),
inference(superposition,[],[f126,f346]) ).
fof(f2644,plain,
( op1(e13,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2643,f379]) ).
fof(f2645,plain,
( op1(e13,e10) = j(e21)
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2644,f81]) ).
fof(f2646,plain,
( e14 = op1(e13,e10)
| ~ spl0_35
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2645,f320]) ).
fof(f2647,plain,
( e13 = e14
| ~ spl0_35
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2646,f64]) ).
fof(f2648,plain,
( $false
| ~ spl0_35
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2647,f10]) ).
fof(f2649,plain,
( ~ spl0_35
| ~ spl0_41
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2648]) ).
fof(f2654,plain,
( e12 = op1(e13,e14)
| ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2632,f354]) ).
fof(f2663,plain,
( e10 = e12
| ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2654,f60]) ).
fof(f2664,plain,
( $false
| ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2663,f18]) ).
fof(f2665,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2664]) ).
fof(f2698,plain,
( e21 = e24
| ~ spl0_17
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1427,f245]) ).
fof(f2700,plain,
( $false
| ~ spl0_17
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2698,f23]) ).
fof(f2701,plain,
( ~ spl0_17
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2700]) ).
fof(f2728,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f2731,plain,
( op1(e12,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2728,f375]) ).
fof(f2732,plain,
( op1(e12,e11) = j(e23)
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2731,f83]) ).
fof(f2733,plain,
( e14 = op1(e12,e11)
| ~ spl0_32
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2732,f362]) ).
fof(f2734,plain,
( e10 = e14
| ~ spl0_32
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2733,f68]) ).
fof(f2735,plain,
( $false
| ~ spl0_32
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2734,f16]) ).
fof(f2736,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2735]) ).
fof(f2754,plain,
( j(op2(e24,e20)) = op1(j(e24),e11)
| ~ spl0_27 ),
inference(superposition,[],[f129,f287]) ).
fof(f2756,plain,
( op1(e12,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2754,f375]) ).
fof(f2757,plain,
( op1(e12,e11) = j(e24)
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2756,f84]) ).
fof(f2758,plain,
( e12 = op1(e12,e11)
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2757,f375]) ).
fof(f2759,plain,
( e10 = e12
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2758,f68]) ).
fof(f2760,plain,
( $false
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2759,f18]) ).
fof(f2761,plain,
( ~ spl0_27
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2760]) ).
fof(f2796,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f2799,plain,
( op1(e12,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2796,f375]) ).
fof(f2800,plain,
( op1(e12,e11) = j(e23)
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2799,f83]) ).
fof(f2801,plain,
( e13 = op1(e12,e11)
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2800,f358]) ).
fof(f2802,plain,
( e10 = e13
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2801,f68]) ).
fof(f2803,plain,
( $false
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2802,f17]) ).
fof(f2804,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2803]) ).
fof(f2843,plain,
( j(op2(e24,e22)) = op1(j(e24),e14)
| ~ spl0_40 ),
inference(superposition,[],[f127,f341]) ).
fof(f2845,plain,
( op1(e12,e14) = j(op2(e24,e22))
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2843,f375]) ).
fof(f2846,plain,
( op1(e12,e14) = j(e20)
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2845,f82]) ).
fof(f2847,plain,
( e13 = op1(e12,e14)
| ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2846,f295]) ).
fof(f2848,plain,
( e11 = e13
| ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2847,f65]) ).
fof(f2849,plain,
( $false
| ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2848,f14]) ).
fof(f2850,plain,
( ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2849]) ).
fof(f2881,plain,
( j(op2(e24,e23)) = op1(j(e24),e11)
| ~ spl0_42 ),
inference(superposition,[],[f126,f350]) ).
fof(f2883,plain,
( op1(e12,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2881,f375]) ).
fof(f2884,plain,
( op1(e12,e11) = j(e21)
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2883,f81]) ).
fof(f2885,plain,
( e13 = op1(e12,e11)
| ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2884,f316]) ).
fof(f2886,plain,
( e10 = e13
| ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2885,f68]) ).
fof(f2887,plain,
( $false
| ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2886,f17]) ).
fof(f2888,plain,
( ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2887]) ).
fof(f2905,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f2907,plain,
( op1(e12,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2905,f375]) ).
fof(f2908,plain,
( op1(e12,e11) = j(e20)
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2907,f82]) ).
fof(f2911,plain,
( j(op2(e24,e23)) = op1(j(e24),e14)
| ~ spl0_45 ),
inference(superposition,[],[f126,f362]) ).
fof(f2915,plain,
( op1(e12,e14) = j(op2(e24,e23))
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2911,f375]) ).
fof(f2916,plain,
( op1(e12,e14) = j(e21)
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2915,f81]) ).
fof(f2917,plain,
( e13 = op1(e12,e14)
| ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2916,f316]) ).
fof(f2918,plain,
( e11 = e13
| ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2917,f65]) ).
fof(f2919,plain,
( $false
| ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2918,f14]) ).
fof(f2920,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2919]) ).
fof(f2929,plain,
( e13 = op1(e12,e11)
| ~ spl0_29
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2908,f295]) ).
fof(f2935,plain,
( e10 = e13
| ~ spl0_29
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2929,f68]) ).
fof(f2936,plain,
( $false
| ~ spl0_29
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2935,f17]) ).
fof(f2937,plain,
( ~ spl0_29
| ~ spl0_37
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2936]) ).
fof(f2944,plain,
( e12 = e14
| ~ spl0_48
| ~ spl0_50 ),
inference(forward_demodulation,[],[f383,f375]) ).
fof(f2963,plain,
( $false
| ~ spl0_48
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2944,f11]) ).
fof(f2964,plain,
( ~ spl0_48
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2963]) ).
fof(f2988,plain,
( j(op2(e24,e21)) = op1(j(e24),e13)
| ~ spl0_34 ),
inference(superposition,[],[f128,f316]) ).
fof(f2991,plain,
( op1(e14,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2988,f383]) ).
fof(f2992,plain,
( op1(e14,e13) = j(e23)
| ~ spl0_34
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2991,f83]) ).
fof(f2993,plain,
( e12 = op1(e14,e13)
| ~ spl0_34
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2992,f354]) ).
fof(f2994,plain,
( e10 = e12
| ~ spl0_34
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2993,f56]) ).
fof(f2995,plain,
( $false
| ~ spl0_34
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2994,f18]) ).
fof(f2996,plain,
( ~ spl0_34
| ~ spl0_43
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2995]) ).
fof(f3001,plain,
( e11 = op1(e14,e13)
| ~ spl0_34
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2992,f350]) ).
fof(f3005,plain,
( e10 = e11
| ~ spl0_34
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_demodulation,[],[f3001,f56]) ).
fof(f3006,plain,
( $false
| ~ spl0_34
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f3005,f19]) ).
fof(f3007,plain,
( ~ spl0_34
| ~ spl0_42
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f3006]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f195]) ).
cnf(s2,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f216]) ).
cnf(s3,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f237]) ).
cnf(s4,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f258]) ).
cnf(s5,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f279]) ).
cnf(s6,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f300]) ).
cnf(s7,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f321]) ).
cnf(s8,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(sat_conversion,[],[f342]) ).
cnf(s9,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f363]) ).
cnf(s10,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(sat_conversion,[],[f384]) ).
cnf(s11,plain,
( ~ spl0_21
| ~ spl0_26 ),
inference(sat_conversion,[],[f388]) ).
cnf(s12,plain,
( ~ spl0_22
| ~ spl0_31 ),
inference(sat_conversion,[],[f393]) ).
cnf(s13,plain,
( ~ spl0_23
| ~ spl0_36 ),
inference(sat_conversion,[],[f399]) ).
cnf(s14,plain,
( ~ spl0_24
| ~ spl0_41 ),
inference(sat_conversion,[],[f406]) ).
cnf(s16,plain,
( ~ spl0_21
| spl0_30 ),
inference(sat_conversion,[],[f415]) ).
cnf(s18,plain,
( ~ spl0_16
| spl0_29 ),
inference(sat_conversion,[],[f427]) ).
cnf(s19,plain,
( ~ spl0_17
| ~ spl0_31 ),
inference(sat_conversion,[],[f432]) ).
cnf(s20,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(sat_conversion,[],[f438]) ).
cnf(s21,plain,
( ~ spl0_19
| ~ spl0_41 ),
inference(sat_conversion,[],[f445]) ).
cnf(s25,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(sat_conversion,[],[f466]) ).
cnf(s26,plain,
( ~ spl0_22
| spl0_35 ),
inference(sat_conversion,[],[f467]) ).
cnf(s27,plain,
( ~ spl0_33
| ~ spl0_35 ),
inference(sat_conversion,[],[f472]) ).
cnf(s28,plain,
( ~ spl0_11
| spl0_28 ),
inference(sat_conversion,[],[f480]) ).
cnf(s29,plain,
( ~ spl0_13
| ~ spl0_36 ),
inference(sat_conversion,[],[f485]) ).
cnf(s30,plain,
( ~ spl0_14
| ~ spl0_41 ),
inference(sat_conversion,[],[f491]) ).
cnf(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_37
| ~ spl0_46 ),
inference(sat_conversion,[],[f563]) ).
cnf(s45,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f565]) ).
cnf(s46,plain,
( ~ spl0_39
| ~ spl0_46 ),
inference(sat_conversion,[],[f569]) ).
cnf(s48,plain,
( ~ spl0_38
| ~ spl0_46 ),
inference(sat_conversion,[],[f577]) ).
cnf(s49,plain,
( ~ spl0_4
| spl0_41 ),
inference(sat_conversion,[],[f578]) ).
cnf(s52,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(sat_conversion,[],[f603]) ).
cnf(s53,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(sat_conversion,[],[f605]) ).
cnf(s54,plain,
( ~ spl0_10
| spl0_47 ),
inference(sat_conversion,[],[f606]) ).
cnf(s55,plain,
( ~ spl0_6
| spl0_27 ),
inference(sat_conversion,[],[f610]) ).
cnf(s58,plain,
( ~ spl0_9
| ~ spl0_41 ),
inference(sat_conversion,[],[f629]) ).
cnf(s66,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f677]) ).
cnf(s67,plain,
( ~ spl0_5
| spl0_46 ),
inference(sat_conversion,[],[f678]) ).
cnf(s72,plain,
( ~ spl0_14
| spl0_43 ),
inference(sat_conversion,[],[f695]) ).
cnf(s73,plain,
( ~ spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f697]) ).
cnf(s74,plain,
( ~ spl0_19
| ~ spl0_43 ),
inference(sat_conversion,[],[f708]) ).
cnf(s75,plain,
( ~ spl0_13
| spl0_38 ),
inference(sat_conversion,[],[f709]) ).
cnf(s76,plain,
( ~ spl0_19
| spl0_44 ),
inference(sat_conversion,[],[f711]) ).
cnf(s81,plain,
( ~ spl0_17
| spl0_34 ),
inference(sat_conversion,[],[f735]) ).
cnf(s82,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(sat_conversion,[],[f753]) ).
cnf(s83,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(sat_conversion,[],[f755]) ).
cnf(s92,plain,
( ~ spl0_32
| ~ spl0_34 ),
inference(sat_conversion,[],[f814]) ).
cnf(s96,plain,
( ~ spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f816]) ).
cnf(s97,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(sat_conversion,[],[f837]) ).
cnf(s98,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(sat_conversion,[],[f839]) ).
cnf(s102,plain,
( ~ spl0_40
| ~ spl0_46 ),
inference(sat_conversion,[],[f881]) ).
cnf(s103,plain,
( spl0_3
| ~ spl0_36 ),
inference(sat_conversion,[],[f884]) ).
cnf(s104,plain,
( ~ spl0_24
| ~ spl0_44 ),
inference(sat_conversion,[],[f891]) ).
cnf(s113,plain,
( ~ spl0_3
| ~ spl0_46 ),
inference(sat_conversion,[],[f916]) ).
cnf(s114,plain,
( ~ spl0_2
| spl0_31 ),
inference(sat_conversion,[],[f917]) ).
cnf(s117,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_50 ),
inference(sat_conversion,[],[f942]) ).
cnf(s119,plain,
( ~ spl0_31
| ~ spl0_33 ),
inference(sat_conversion,[],[f963]) ).
cnf(s122,plain,
( ~ spl0_20
| spl0_49 ),
inference(sat_conversion,[],[f965]) ).
cnf(s124,plain,
( ~ spl0_47
| ~ spl0_49 ),
inference(sat_conversion,[],[f978]) ).
cnf(s129,plain,
( ~ spl0_33
| ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f1018]) ).
cnf(s130,plain,
( ~ spl0_1
| spl0_26 ),
inference(sat_conversion,[],[f1019]) ).
cnf(s132,plain,
( spl0_9
| ~ spl0_42 ),
inference(sat_conversion,[],[f1023]) ).
cnf(s139,plain,
( ~ spl0_23
| ~ spl0_39 ),
inference(sat_conversion,[],[f1048]) ).
cnf(s140,plain,
( ~ spl0_18
| ~ spl0_44 ),
inference(sat_conversion,[],[f1050]) ).
cnf(s142,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_47 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s145,plain,
( ~ spl0_24
| spl0_45 ),
inference(sat_conversion,[],[f1109]) ).
cnf(s147,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(sat_conversion,[],[f1127]) ).
cnf(s150,plain,
( spl0_12
| ~ spl0_33 ),
inference(sat_conversion,[],[f1138]) ).
cnf(s152,plain,
( ~ spl0_47
| ~ spl0_50 ),
inference(sat_conversion,[],[f1142]) ).
cnf(s160,plain,
( ~ spl0_6
| ~ spl0_26 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s162,plain,
( ~ spl0_3
| spl0_36 ),
inference(sat_conversion,[],[f1179]) ).
cnf(s168,plain,
( spl0_18
| ~ spl0_39 ),
inference(sat_conversion,[],[f1182]) ).
cnf(s169,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(sat_conversion,[],[f1225]) ).
cnf(s177,plain,
( ~ spl0_49
| ~ spl0_50 ),
inference(sat_conversion,[],[f1242]) ).
cnf(s185,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f1249]) ).
cnf(s196,plain,
( ~ spl0_42
| ~ spl0_44 ),
inference(sat_conversion,[],[f1297]) ).
cnf(s197,plain,
( ~ spl0_12
| ~ spl0_48 ),
inference(sat_conversion,[],[f1299]) ).
cnf(s206,plain,
( ~ spl0_37
| ~ spl0_39 ),
inference(sat_conversion,[],[f1315]) ).
cnf(s207,plain,
( ~ spl0_20
| spl0_49 ),
inference(sat_conversion,[],[f1318]) ).
cnf(s210,plain,
( spl0_11
| ~ spl0_28 ),
inference(sat_conversion,[],[f1323]) ).
cnf(s213,plain,
( ~ spl0_23
| ~ spl0_37 ),
inference(sat_conversion,[],[f1335]) ).
cnf(s226,plain,
( ~ spl0_23
| ~ spl0_38 ),
inference(sat_conversion,[],[f1391]) ).
cnf(s232,plain,
( ~ spl0_40
| ~ spl0_49 ),
inference(sat_conversion,[],[f1448]) ).
cnf(s235,plain,
( ~ spl0_25
| spl0_50 ),
inference(sat_conversion,[],[f1450]) ).
cnf(s236,plain,
( ~ spl0_39
| ~ spl0_50 ),
inference(sat_conversion,[],[f1497]) ).
cnf(s247,plain,
( ~ spl0_29
| ~ spl0_50 ),
inference(sat_conversion,[],[f1558]) ).
cnf(s258,plain,
( spl0_10
| ~ spl0_47 ),
inference(sat_conversion,[],[f1564]) ).
cnf(s265,plain,
( ~ spl0_9
| ~ spl0_47 ),
inference(sat_conversion,[],[f1597]) ).
cnf(s271,plain,
( ~ spl0_29
| ~ spl0_36
| ~ spl0_47 ),
inference(sat_conversion,[],[f1641]) ).
cnf(s278,plain,
( spl0_6
| ~ spl0_27 ),
inference(sat_conversion,[],[f1656]) ).
cnf(s282,plain,
( spl0_6
| ~ spl0_27 ),
inference(sat_conversion,[],[f1664]) ).
cnf(s283,plain,
( ~ spl0_15
| ~ spl0_47 ),
inference(sat_conversion,[],[f1672]) ).
cnf(s285,plain,
( ~ spl0_15
| spl0_48 ),
inference(sat_conversion,[],[f1678]) ).
cnf(s286,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f1685]) ).
cnf(s295,plain,
( ~ spl0_28
| ~ spl0_50 ),
inference(sat_conversion,[],[f1720]) ).
cnf(s300,plain,
( spl0_1
| ~ spl0_26 ),
inference(sat_conversion,[],[f1725]) ).
cnf(s303,plain,
( ~ spl0_1
| ~ spl0_31 ),
inference(sat_conversion,[],[f1750]) ).
cnf(s304,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_50 ),
inference(sat_conversion,[],[f1783]) ).
cnf(s314,plain,
( ~ spl0_27
| ~ spl0_50 ),
inference(sat_conversion,[],[f1810]) ).
cnf(s322,plain,
( spl0_17
| ~ spl0_34 ),
inference(sat_conversion,[],[f1814]) ).
cnf(s325,plain,
( spl0_22
| ~ spl0_35 ),
inference(sat_conversion,[],[f1833]) ).
cnf(s326,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_50 ),
inference(sat_conversion,[],[f1839]) ).
cnf(s335,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_50 ),
inference(sat_conversion,[],[f1852]) ).
cnf(s348,plain,
( ~ spl0_11
| ~ spl0_38 ),
inference(sat_conversion,[],[f1881]) ).
cnf(s357,plain,
( ~ spl0_23
| spl0_40 ),
inference(sat_conversion,[],[f1916]) ).
cnf(s364,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f1926]) ).
cnf(s365,plain,
( ~ spl0_26
| ~ spl0_28 ),
inference(sat_conversion,[],[f1937]) ).
cnf(s372,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(sat_conversion,[],[f1946]) ).
cnf(s389,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f1950]) ).
cnf(s395,plain,
( ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f2000]) ).
cnf(s402,plain,
( ~ spl0_34
| ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f2046]) ).
cnf(s412,plain,
( ~ spl0_28
| ~ spl0_47 ),
inference(sat_conversion,[],[f2073]) ).
cnf(s428,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f2132]) ).
cnf(s433,plain,
( ~ spl0_1
| ~ spl0_41 ),
inference(sat_conversion,[],[f2143]) ).
cnf(s442,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(sat_conversion,[],[f2162]) ).
cnf(s447,plain,
( ~ spl0_29
| ~ spl0_38
| ~ spl0_47 ),
inference(sat_conversion,[],[f2203]) ).
cnf(s459,plain,
( ~ spl0_18
| ~ spl0_38 ),
inference(sat_conversion,[],[f2232]) ).
cnf(s460,plain,
( ~ spl0_22
| ~ spl0_24 ),
inference(sat_conversion,[],[f2234]) ).
cnf(s463,plain,
( ~ spl0_22
| ~ spl0_45 ),
inference(sat_conversion,[],[f2240]) ).
cnf(s468,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_47 ),
inference(sat_conversion,[],[f2273]) ).
cnf(s484,plain,
( ~ spl0_7
| ~ spl0_10 ),
inference(sat_conversion,[],[f2287]) ).
cnf(s506,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(sat_conversion,[],[f2341]) ).
cnf(s511,plain,
( ~ spl0_30
| ~ spl0_48 ),
inference(sat_conversion,[],[f2360]) ).
cnf(s523,plain,
( ~ spl0_30
| ~ spl0_49 ),
inference(sat_conversion,[],[f2380]) ).
cnf(s536,plain,
( ~ spl0_27
| ~ spl0_49 ),
inference(sat_conversion,[],[f2407]) ).
cnf(s548,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(sat_conversion,[],[f2441]) ).
cnf(s591,plain,
( ~ spl0_42
| ~ spl0_45 ),
inference(sat_conversion,[],[f2495]) ).
cnf(s592,plain,
( ~ spl0_18
| ~ spl0_49 ),
inference(sat_conversion,[],[f2497]) ).
cnf(s597,plain,
( ~ spl0_31
| ~ spl0_45
| ~ spl0_49 ),
inference(sat_conversion,[],[f2537]) ).
cnf(s616,plain,
( ~ spl0_13
| ~ spl0_37 ),
inference(sat_conversion,[],[f2564]) ).
cnf(s623,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(sat_conversion,[],[f2591]) ).
cnf(s649,plain,
( ~ spl0_35
| ~ spl0_41
| ~ spl0_49 ),
inference(sat_conversion,[],[f2649]) ).
cnf(s664,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(sat_conversion,[],[f2665]) ).
cnf(s682,plain,
( ~ spl0_17
| ~ spl0_49 ),
inference(sat_conversion,[],[f2701]) ).
cnf(s694,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f2736]) ).
cnf(s711,plain,
( ~ spl0_27
| ~ spl0_48 ),
inference(sat_conversion,[],[f2761]) ).
cnf(s739,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f2804]) ).
cnf(s759,plain,
( ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(sat_conversion,[],[f2850]) ).
cnf(s777,plain,
( ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f2888]) ).
cnf(s789,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f2920]) ).
cnf(s806,plain,
( ~ spl0_29
| ~ spl0_37
| ~ spl0_48 ),
inference(sat_conversion,[],[f2937]) ).
cnf(s834,plain,
( ~ spl0_48
| ~ spl0_50 ),
inference(sat_conversion,[],[f2964]) ).
cnf(s838,plain,
( ~ spl0_34
| ~ spl0_43
| ~ spl0_50 ),
inference(sat_conversion,[],[f2996]) ).
cnf(s851,plain,
( ~ spl0_34
| ~ spl0_42
| ~ spl0_50 ),
inference(sat_conversion,[],[f3007]) ).
cnf(s852,plain,
( ~ spl0_46
| spl0_36 ),
inference(rat,[],[s8,s44,s46,s48,s102]) ).
cnf(s853,plain,
( ~ spl0_47
| spl0_13
| ~ spl0_41 ),
inference(rat,[],[s3,s96,s28,s129,s283,s412,s30]) ).
cnf(s854,plain,
( ~ spl0_29
| ~ spl0_40
| spl0_47
| spl0_46 ),
inference(rat,[],[s10,s247,s759,s232]) ).
cnf(s855,plain,
( spl0_39
| spl0_47
| spl0_38
| spl0_37
| spl0_19
| spl0_9
| spl0_36 ),
inference(rat,[],[s10,s314,s711,s55,s2,s40,s92,s81,s4,s18,s854,s207,s232,s8,s73,s852,s185,s54]) ).
cnf(s856,plain,
( spl0_38
| spl0_37
| ~ spl0_41
| spl0_36 ),
inference(rat,[],[s52,s26,s40,s5,s2,s16,s55,s511,s711,s10,s592,s235,s139,s168,s236,s855,s54,s853,s75,s852,s58,s21,s14,s185]) ).
cnf(s857,plain,
( ~ spl0_47
| ~ spl0_38
| spl0_26 ),
inference(rat,[],[s278,s6,s442,s447,s506,s258,s210,s348]) ).
cnf(s858,plain,
( spl0_29
| spl0_17
| spl0_27
| ~ spl0_38
| spl0_19
| spl0_26 ),
inference(rat,[],[s122,s523,s4,s6,s18,s459,s210,s348]) ).
cnf(s859,plain,
( spl0_6
| ~ spl0_38
| spl0_8
| ~ spl0_41
| spl0_26 ),
inference(rat,[],[s5,s16,s235,s25,s247,s858,s26,s81,s53,s92,s40,s2,s282,s58,s21,s14,s226,s54,s857]) ).
cnf(s860,plain,
( spl0_37
| ~ spl0_41
| spl0_36
| spl0_26 ),
inference(rat,[],[s10,s314,s536,s711,s55,s859,s857,s856,s185,s852]) ).
cnf(s861,plain,
( spl0_49
| spl0_50
| spl0_47
| ~ spl0_37
| spl0_24
| spl0_19
| spl0_46 ),
inference(rat,[],[s82,s81,s26,s4,s5,s18,s16,s806,s511,s10,s207,s213,s73,s206,s235]) ).
cnf(s862,plain,
( spl0_50
| ~ spl0_37
| ~ spl0_41
| spl0_46 ),
inference(rat,[],[s5,s26,s16,s649,s523,s861,s235,s21,s14,s213,s853,s616]) ).
cnf(s863,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s97,s81,s96,s4,s3,s207,s18,s28,s285,s177,s247,s295,s834,s862,s73,s206,s616,s860,s21,s30,s49,s1,s67,s852,s103,s300]) ).
cnf(s868,plain,
( spl0_22
| spl0_34
| ~ spl0_48
| spl0_25
| spl0_23
| spl0_31 ),
inference(rat,[],[s694,s145,s7,s5,s325,s16,s511,s150,s197]) ).
cnf(s869,plain,
( ~ spl0_35
| ~ spl0_48
| spl0_10
| spl0_8 ),
inference(rat,[],[s2,s40,s39,s53,s66,s55,s711]) ).
cnf(s870,plain,
( spl0_47
| spl0_49
| spl0_50
| spl0_23
| spl0_8
| spl0_46
| spl0_31 ),
inference(rat,[],[s789,s145,s868,s5,s26,s869,s16,s511,s10,s54,s235]) ).
cnf(s871,plain,
( spl0_34
| spl0_16
| ~ spl0_47
| spl0_20
| spl0_18
| spl0_31 ),
inference(rat,[],[s7,s142,s372,s76,s4,s81,s364,s484,s258]) ).
cnf(s872,plain,
( spl0_49
| spl0_50
| spl0_46
| ~ spl0_36
| spl0_31 ),
inference(rat,[],[s3,s96,s72,s98,s402,s871,s18,s28,s271,s283,s412,s870,s207,s41,s29,s20,s13]) ).
cnf(s873,plain,
( spl0_35
| ~ spl0_49
| spl0_25
| spl0_23
| spl0_31 ),
inference(rat,[],[s7,s169,s623,s145,s5,s26,s322,s682,s16,s523]) ).
cnf(s874,plain,
( spl0_50
| spl0_46
| ~ spl0_36
| spl0_31 ),
inference(rat,[],[s2,s40,s39,s53,s548,s873,s54,s55,s124,s536,s872,s235,s41,s13]) ).
cnf(s875,plain,
( spl0_34
| ~ spl0_50
| spl0_18
| spl0_31 ),
inference(rat,[],[s7,s117,s304,s326,s76,s4,s81,s18,s247,s207,s177]) ).
cnf(s876,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s2,s40,s39,s92,s851,s875,s54,s55,s152,s314,s874,s20,s41,s113,s162,s863,s389]) ).
cnf(s877,plain,
( ~ spl0_32
| ~ spl0_48
| spl0_47
| spl0_20
| spl0_25
| spl0_46
| ~ spl0_31 ),
inference(rat,[],[s4,s18,s73,s854,s139,s357,s5,s145,s76,s694,s739,s19,s12,s16,s511]) ).
cnf(s878,plain,
( ~ spl0_24
| spl0_7
| ~ spl0_48
| spl0_10
| spl0_20
| spl0_17 ),
inference(rat,[],[s4,s18,s73,s806,s206,s185,s2,s39,s76,s591,s104,s145,s55,s711]) ).
cnf(s879,plain,
( spl0_47
| spl0_49
| spl0_50
| spl0_46
| ~ spl0_31 ),
inference(rat,[],[s196,s76,s39,s4,s2,s18,s73,s185,s854,s139,s213,s357,s5,s878,s40,s877,s16,s55,s511,s711,s10,s54,s19,s12,s235,s207]) ).
cnf(s880,plain,
( ~ spl0_47
| spl0_1 ),
inference(rat,[],[s3,s72,s75,s28,s395,s857,s283,s412,s300,s96,s119,s114,s876]) ).
cnf(s881,plain,
( spl0_50
| spl0_46
| spl0_1 ),
inference(rat,[],[s5,s145,s357,s16,s597,s232,s523,s879,s235,s12,s114,s876,s880]) ).
cnf(s882,plain,
( ~ spl0_50
| spl0_1 ),
inference(rat,[],[s72,s3,s74,s75,s4,s335,s207,s73,s6,s18,s28,s285,s177,s236,s247,s295,s314,s834,s300,s19,s96,s119,s114,s876]) ).
cnf(s883,plain,
~ spl0_46,
inference(rat,[],[s103,s852,s113]) ).
cnf(s886,plain,
( spl0_22
| spl0_23
| ~ spl0_48
| spl0_50 ),
inference(rat,[],[s145,s789,s5,s868,s235,s303,s11,s130,s881,s883]) ).
cnf(s887,plain,
( spl0_23
| spl0_47
| spl0_49
| spl0_50 ),
inference(rat,[],[s76,s286,s861,s26,s460,s886,s185,s870,s303,s881,s10,s883]) ).
cnf(s888,plain,
( ~ spl0_32
| spl0_18
| ~ spl0_48
| spl0_20
| spl0_16 ),
inference(rat,[],[s4,s76,s81,s739,s92]) ).
cnf(s889,plain,
( spl0_47
| spl0_49
| spl0_50 ),
inference(rat,[],[s39,s777,s2,s7,s40,s888,s869,s73,s185,s139,s213,s887,s150,s197,s10,s54,s303,s160,s18,s36,s130,s881,s207,s883]) ).
cnf(s890,plain,
( spl0_22
| spl0_34
| spl0_23
| ~ spl0_47
| spl0_50 ),
inference(rat,[],[s147,s145,s7,s5,s325,s235,s303,s11,s130,s881,s364,s484,s258,s883]) ).
cnf(s891,plain,
( spl0_34
| spl0_23
| spl0_49
| spl0_50 ),
inference(rat,[],[s428,s9,s26,s463,s890,s140,s871,s433,s303,s18,s36,s130,s881,s207,s132,s265,s889,s883]) ).
cnf(s892,plain,
( spl0_23
| spl0_49
| spl0_50 ),
inference(rat,[],[s5,s26,s145,s83,s468,s891,s235,s11,s130,s881,s889,s883]) ).
cnf(s893,plain,
( spl0_49
| spl0_50 ),
inference(rat,[],[s3,s96,s72,s98,s402,s871,s73,s75,s139,s226,s892,s283,s889,s207,s303,s28,s365,s18,s36,s130,s881,s883]) ).
cnf(s894,plain,
spl0_50,
inference(rat,[],[s3,s616,s285,s185,s286,s2,s9,s96,s40,s463,s39,s72,s27,s53,s325,s548,s664,s873,s54,s357,s124,s232,s893,s28,s160,s365,s130,s303,s433,s881,s235,s883]) ).
cnf(s895,plain,
~ spl0_48,
inference(rat,[],[s834,s894]) ).
cnf(s896,plain,
~ spl0_27,
inference(rat,[],[s314,s894]) ).
cnf(s897,plain,
~ spl0_28,
inference(rat,[],[s295,s894]) ).
cnf(s899,plain,
~ spl0_39,
inference(rat,[],[s236,s894]) ).
cnf(s901,plain,
~ spl0_47,
inference(rat,[],[s152,s894]) ).
cnf(s902,plain,
spl0_1,
inference(rat,[],[s882,s894]) ).
cnf(s903,plain,
~ spl0_15,
inference(rat,[],[s285,s895]) ).
cnf(s904,plain,
~ spl0_6,
inference(rat,[],[s55,s896]) ).
cnf(s905,plain,
~ spl0_11,
inference(rat,[],[s28,s897]) ).
cnf(s907,plain,
~ spl0_18,
inference(rat,[],[s73,s899]) ).
cnf(s909,plain,
~ spl0_10,
inference(rat,[],[s54,s901]) ).
cnf(s911,plain,
~ spl0_31,
inference(rat,[],[s303,s902]) ).
cnf(s915,plain,
spl0_34,
inference(rat,[],[s875,s894,s907,s911]) ).
cnf(s917,plain,
~ spl0_42,
inference(rat,[],[s851,s894,s915]) ).
cnf(s918,plain,
~ spl0_43,
inference(rat,[],[s838,s894,s915]) ).
cnf(s921,plain,
~ spl0_33,
inference(rat,[],[s98,s915]) ).
cnf(s922,plain,
~ spl0_32,
inference(rat,[],[s92,s915]) ).
cnf(s925,plain,
~ spl0_9,
inference(rat,[],[s39,s917]) ).
cnf(s926,plain,
~ spl0_14,
inference(rat,[],[s72,s918]) ).
cnf(s929,plain,
~ spl0_12,
inference(rat,[],[s96,s921]) ).
cnf(s930,plain,
~ spl0_7,
inference(rat,[],[s40,s922]) ).
cnf(s933,plain,
spl0_13,
inference(rat,[],[s3,s903,s905,s926,s929]) ).
cnf(s934,plain,
spl0_8,
inference(rat,[],[s2,s925,s904,s909,s930]) ).
cnf(s935,plain,
~ spl0_37,
inference(rat,[],[s616,s933]) ).
cnf(s938,plain,
$false,
inference(rat,[],[s45,s935,s934]) ).
fof(f3008,plain,
$false,
inference(avatar_sat_refutation,[],[s938]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG083+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n020.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:26:20 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.31 % (450814)Will run a generic schedule for satisfiability detection.
% 0.19/0.31 % (450825)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2097444218:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.31 % (450820)% WARNING: option uhcvi not known.
% 0.19/0.31 % (450819)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2160223074_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.31 % (450821)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1963102574:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.31 % (450820)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4114877880:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.31 % (450822)dis+10_1_sil=32000:sp=arity:random_seed=3515772354:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.31 % (450823)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2858935264:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.31 % (450824)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=689852375:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.31 % Detected minimum model sizes of [10]
% 0.19/0.31 % Detected maximum model sizes of [max]
% 0.19/0.31 % TRYING [10]
% 0.19/0.31 % (450825)Instruction limit reached!
% 0.19/0.31 % (450825)------------------------------
% 0.19/0.31 % (450825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31 % (450825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31 % (450825)CaDiCaL version: 2.1.3
% 0.19/0.31 % (450825)Termination reason: Instruction limit
% 0.19/0.31 % (450825)Termination phase: Saturation
% 0.19/0.31 % (450825)Time elapsed: 0.047 s
% 0.19/0.31 % (450825)Peak memory usage: 12 MB
% 0.19/0.31 % (450825)Instructions burned: 162 (million)
% 0.19/0.31 % (450823) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-450814-450823"...
% 0.19/0.31 % (450833)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3770304675:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.31 % (450822)Instruction limit reached!
% 0.19/0.31 % (450822)------------------------------
% 0.19/0.31 % (450822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31 % (450822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31 % (450822)CaDiCaL version: 2.1.3
% 0.19/0.31 % (450822)Termination reason: Instruction limit
% 0.19/0.31 % (450822)Termination phase: Saturation
% 0.19/0.31 % (450822)Time elapsed: 0.052 s
% 0.19/0.31 % (450822)Peak memory usage: 12 MB
% 0.19/0.31 % (450822)Instructions burned: 105 (million)
% 0.19/0.31 % Detected minimum model sizes of [10]
% 0.19/0.31 % Detected maximum model sizes of [max]
% 0.19/0.31 % TRYING [10]
% 0.19/0.31 % (450823)...printing done.
% 0.19/0.31 % (450823)Refutation found. Thanks to Tanya!
% 0.19/0.31 % SZS status Theorem for theBenchmark
% 0.19/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.32 % (450823)------------------------------
% 0.19/0.32 % (450823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.32 % (450823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.32 % (450823)CaDiCaL version: 2.1.3
% 0.19/0.32 % (450823)Termination reason: Refutation
% 0.19/0.32 % (450823)Time elapsed: 0.058 s
% 0.19/0.32 % (450823)Peak memory usage: 13 MB
% 0.19/0.32 % (450823)Instructions burned: 110 (million)
% 0.19/0.32 % (450814)Success in time 0.095 s
% 0.19/0.32 % Vampire exiting
%------------------------------------------------------------------------------