%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG086+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 09:21:27 AM UTC 2026
% Result : Theorem 0.18s 0.31s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 55
% Syntax : Number of formulae : 825 ( 68 unt; 50 def)
% Number of atoms : 2586 ( 971 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 2986 (1225 ~;1369 |; 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e10,e14) = e14
& op1(e11,e10) = e11
& op1(e11,e11) = e10
& op1(e11,e12) = e13
& op1(e11,e13) = e14
& op1(e11,e14) = e12
& op1(e12,e10) = e12
& op1(e12,e11) = e14
& op1(e12,e12) = e10
& op1(e12,e13) = e11
& op1(e12,e14) = e13
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e14
& op1(e13,e13) = e10
& op1(e13,e14) = e11
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e12
& op1(e14,e14) = e10 ),
file('/export/starexec/sandbox2/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) = e24
& op2(e21,e22) = e23
& op2(e21,e23) = e20
& op2(e21,e24) = e22
& op2(e22,e20) = e22
& op2(e22,e21) = e20
& op2(e22,e22) = e24
& op2(e22,e23) = e21
& op2(e22,e24) = e23
& op2(e23,e20) = e23
& op2(e23,e21) = e22
& op2(e23,e22) = e20
& op2(e23,e23) = e24
& op2(e23,e24) = e21
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e21
& op2(e24,e23) = e22
& op2(e24,e24) = e20 ),
file('/export/starexec/sandbox2/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/sandbox2/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(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(f55,plain,
e10 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f61,plain,
e10 = 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(f67,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f69,plain,
e12 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f73,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f74,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f76,plain,
e13 = op1(e10,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f77,plain,
e12 = op1(e10,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f78,plain,
e11 = op1(e10,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f79,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f80,plain,
e20 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e22 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
e21 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
e23 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
e24 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f85,plain,
e21 = op2(e23,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f86,plain,
e24 = op2(e23,e23),
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(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(f123,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f124,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f125,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f126,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f127,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f128,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f129,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f130,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f131,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f176,definition,
( spl0_1
<=> e20 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f177,plain,
( e20 != h(e10)
| spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( e20 = h(e10)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl0_2
<=> e21 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f181,plain,
( e21 != h(e10)
| spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f182,plain,
( e21 = h(e10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl0_3
<=> e22 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f186,plain,
( e22 = h(e10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl0_4
<=> e23 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f189,plain,
( e23 != h(e10)
| spl0_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f190,plain,
( e23 = h(e10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl0_5
<=> e24 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f194,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f105,f192,f188,f184,f180,f176]) ).
fof(f197,definition,
( spl0_6
<=> e20 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f199,plain,
( e20 = h(e11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl0_7
<=> e21 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f202,plain,
( e21 != h(e11)
| spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f203,plain,
( e21 = h(e11)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl0_8
<=> e22 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f207,plain,
( e22 = h(e11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_9
<=> e23 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f211,plain,
( e23 = h(e11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_10
<=> e24 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f215,plain,
( e24 = h(e11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f106,f213,f209,f205,f201,f197]) ).
fof(f218,definition,
( spl0_11
<=> e20 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(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(f231,plain,
( e23 != h(e12)
| spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
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(f245,plain,
( e21 = h(e13)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl0_18
<=> e22 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f249,plain,
( e22 = h(e13)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl0_19
<=> e23 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f252,plain,
( e23 != h(e13)
| spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( e23 = h(e13)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_20
<=> e24 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f257,plain,
( e24 = h(e13)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f108,f255,f251,f247,f243,f239]) ).
fof(f260,definition,
( spl0_21
<=> e20 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f262,plain,
( e20 = h(e14)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl0_22
<=> e21 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f266,plain,
( e21 = h(e14)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_23
<=> e22 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f270,plain,
( e22 = h(e14)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_24
<=> e23 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f274,plain,
( e23 = h(e14)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl0_25
<=> e24 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f278,plain,
( e24 = h(e14)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f109,f276,f272,f268,f264,f260]) ).
fof(f281,definition,
( spl0_26
<=> e10 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f283,plain,
( e10 = j(e20)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl0_27
<=> e11 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f286,plain,
( e11 != j(e20)
| spl0_27 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f287,plain,
( e11 = j(e20)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f289,definition,
( spl0_28
<=> e12 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f291,plain,
( e12 = j(e20)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,definition,
( spl0_29
<=> e13 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f295,plain,
( e13 = j(e20)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl0_30
<=> e14 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f299,plain,
( e14 = j(e20)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f110,f297,f293,f289,f285,f281]) ).
fof(f302,definition,
( spl0_31
<=> e10 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f304,plain,
( e10 = j(e21)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl0_32
<=> e11 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f308,plain,
( e11 = j(e21)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl0_33
<=> e12 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f311,plain,
( e12 != j(e21)
| spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f312,plain,
( e12 = j(e21)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl0_34
<=> e13 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f316,plain,
( e13 = j(e21)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl0_35
<=> e14 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f320,plain,
( e14 = j(e21)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f111,f318,f314,f310,f306,f302]) ).
fof(f323,definition,
( spl0_36
<=> e10 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f325,plain,
( e10 = j(e22)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl0_37
<=> e11 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f329,plain,
( e11 = j(e22)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl0_38
<=> e12 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f333,plain,
( e12 = j(e22)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl0_39
<=> e13 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(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(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(f366,plain,
( e10 != j(e24)
| spl0_46 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f367,plain,
( e10 = j(e24)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl0_47
<=> e11 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f371,plain,
( e11 = j(e24)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f373,definition,
( spl0_48
<=> e12 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f375,plain,
( e12 = j(e24)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f377,definition,
( spl0_49
<=> e13 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f379,plain,
( e13 = j(e24)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f381,definition,
( spl0_50
<=> e14 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f383,plain,
( e14 = j(e24)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f384,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f114,f381,f377,f373,f369,f365]) ).
fof(f385,plain,
( e14 = j(e20)
| ~ spl0_21 ),
inference(superposition,[],[f115,f262]) ).
fof(f386,plain,
( e10 = e14
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f385,f283]) ).
fof(f387,plain,
( $false
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f386,f16]) ).
fof(f388,plain,
( ~ spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f390,plain,
( e14 = j(e21)
| ~ spl0_22 ),
inference(superposition,[],[f115,f266]) ).
fof(f391,plain,
( e10 = e14
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_demodulation,[],[f390,f304]) ).
fof(f392,plain,
( $false
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f391,f16]) ).
fof(f393,plain,
( ~ spl0_22
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f396,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f397,plain,
( e10 = e14
| ~ spl0_23
| ~ spl0_36 ),
inference(forward_demodulation,[],[f396,f325]) ).
fof(f398,plain,
( $false
| ~ spl0_23
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f397,f16]) ).
fof(f399,plain,
( ~ spl0_23
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f403,plain,
( e14 = j(e23)
| ~ spl0_24 ),
inference(superposition,[],[f115,f274]) ).
fof(f411,plain,
( e14 = j(e24)
| ~ spl0_25 ),
inference(superposition,[],[f115,f278]) ).
fof(f412,plain,
( e10 = e14
| ~ spl0_25
| ~ spl0_46 ),
inference(forward_demodulation,[],[f411,f367]) ).
fof(f413,plain,
( $false
| ~ spl0_25
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f412,f16]) ).
fof(f414,plain,
( ~ spl0_25
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f415,plain,
( spl0_30
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f385,f260,f297]) ).
fof(f417,plain,
( e11 = e14
| ~ spl0_27
| ~ spl0_30 ),
inference(forward_demodulation,[],[f299,f287]) ).
fof(f418,plain,
( $false
| ~ spl0_27
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f417,f13]) ).
fof(f419,plain,
( ~ spl0_27
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f426,plain,
( e13 = j(e20)
| ~ spl0_16 ),
inference(superposition,[],[f116,f241]) ).
fof(f427,plain,
( spl0_29
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f426,f239,f293]) ).
fof(f429,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(superposition,[],[f116,f245]) ).
fof(f430,plain,
( e10 = e13
| ~ spl0_17
| ~ spl0_31 ),
inference(forward_demodulation,[],[f429,f304]) ).
fof(f431,plain,
( $false
| ~ spl0_17
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f430,f17]) ).
fof(f432,plain,
( ~ spl0_17
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f435,plain,
( e13 = j(e22)
| ~ spl0_18 ),
inference(superposition,[],[f116,f249]) ).
fof(f436,plain,
( e10 = e13
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_demodulation,[],[f435,f325]) ).
fof(f437,plain,
( $false
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f436,f17]) ).
fof(f438,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f442,plain,
( e13 = j(e23)
| ~ spl0_19 ),
inference(superposition,[],[f116,f253]) ).
fof(f450,plain,
( e13 = j(e24)
| ~ spl0_20 ),
inference(superposition,[],[f116,f257]) ).
fof(f451,plain,
( e10 = e13
| ~ spl0_20
| ~ spl0_46 ),
inference(forward_demodulation,[],[f450,f367]) ).
fof(f452,plain,
( $false
| ~ spl0_20
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f451,f17]) ).
fof(f453,plain,
( ~ spl0_20
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f452]) ).
fof(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(f493,plain,
( e11 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f118,f199]) ).
fof(f494,plain,
( $false
| ~ spl0_6
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f493,f286]) ).
fof(f495,plain,
( ~ spl0_6
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f497,plain,
( e11 = j(e24)
| ~ spl0_10 ),
inference(superposition,[],[f118,f215]) ).
fof(f498,plain,
( e10 = e11
| ~ spl0_10
| ~ spl0_46 ),
inference(forward_demodulation,[],[f497,f367]) ).
fof(f499,plain,
( $false
| ~ spl0_10
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f498,f19]) ).
fof(f500,plain,
( ~ spl0_10
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f502,plain,
( e10 = j(e21)
| ~ spl0_2 ),
inference(superposition,[],[f119,f182]) ).
fof(f506,plain,
( e10 = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f119,f178]) ).
fof(f519,plain,
( e10 = j(e23)
| ~ spl0_4 ),
inference(superposition,[],[f119,f190]) ).
fof(f525,plain,
( e10 = j(e24)
| ~ spl0_5 ),
inference(superposition,[],[f119,f194]) ).
fof(f530,plain,
( e11 = j(e23)
| ~ spl0_9 ),
inference(superposition,[],[f118,f211]) ).
fof(f531,plain,
( spl0_42
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f530,f209,f348]) ).
fof(f535,plain,
( e11 = j(e21)
| ~ spl0_7 ),
inference(superposition,[],[f118,f203]) ).
fof(f536,plain,
( spl0_32
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f535,f201,f306]) ).
fof(f541,plain,
( e11 = j(e22)
| ~ spl0_8 ),
inference(superposition,[],[f118,f207]) ).
fof(f542,plain,
( e10 = e11
| ~ spl0_8
| ~ spl0_36 ),
inference(forward_demodulation,[],[f541,f325]) ).
fof(f543,plain,
( $false
| ~ spl0_8
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f542,f19]) ).
fof(f544,plain,
( ~ spl0_8
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f543]) ).
fof(f553,plain,
( e24 = h(e10)
| ~ spl0_46 ),
inference(superposition,[],[f120,f367]) ).
fof(f554,plain,
( e23 = h(e12)
| ~ spl0_43 ),
inference(superposition,[],[f121,f354]) ).
fof(f558,plain,
( op1(e10,e10) = j(op2(e24,e24))
| ~ spl0_46 ),
inference(superposition,[],[f125,f367]) ).
fof(f559,plain,
( op1(e10,e10) = j(e20)
| ~ spl0_46 ),
inference(forward_demodulation,[],[f558,f80]) ).
fof(f560,plain,
( e13 = op1(e10,e10)
| ~ spl0_29
| ~ spl0_46 ),
inference(forward_demodulation,[],[f559,f295]) ).
fof(f561,plain,
( e10 = e13
| ~ spl0_29
| ~ spl0_46 ),
inference(forward_demodulation,[],[f560,f79]) ).
fof(f562,plain,
( $false
| ~ spl0_29
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f561,f17]) ).
fof(f563,plain,
( ~ spl0_29
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f564,plain,
( spl0_41
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f519,f188,f344]) ).
fof(f566,plain,
( e11 = e12
| ~ spl0_13
| ~ spl0_37 ),
inference(forward_demodulation,[],[f482,f329]) ).
fof(f571,plain,
( $false
| ~ spl0_13
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f566,f15]) ).
fof(f572,plain,
( ~ spl0_13
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f571]) ).
fof(f580,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f119,f186]) ).
fof(f583,plain,
( $false
| spl0_14
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f554,f231]) ).
fof(f584,plain,
( spl0_14
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f594,plain,
( e12 = j(e24)
| ~ spl0_15 ),
inference(superposition,[],[f117,f236]) ).
fof(f595,plain,
( spl0_48
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f594,f234,f373]) ).
fof(f596,plain,
( e23 = h(e10)
| ~ spl0_41 ),
inference(superposition,[],[f121,f346]) ).
fof(f599,plain,
( e24 = h(e12)
| ~ spl0_48 ),
inference(superposition,[],[f120,f375]) ).
fof(f618,plain,
( spl0_38
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f482,f226,f331]) ).
fof(f623,plain,
( spl0_27
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f493,f197,f285]) ).
fof(f644,plain,
( e11 = j(e21)
| ~ spl0_7 ),
inference(superposition,[],[f118,f203]) ).
fof(f646,plain,
( e21 = h(e11)
| ~ spl0_32 ),
inference(superposition,[],[f123,f308]) ).
fof(f654,plain,
( spl0_47
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f497,f213,f369]) ).
fof(f676,plain,
( op1(e11,e11) = j(op2(e24,e24))
| ~ spl0_47 ),
inference(superposition,[],[f125,f371]) ).
fof(f677,plain,
( e24 = h(e11)
| ~ spl0_47 ),
inference(superposition,[],[f120,f371]) ).
fof(f678,plain,
( op1(e11,e11) = j(e20)
| ~ spl0_47 ),
inference(forward_demodulation,[],[f676,f80]) ).
fof(f679,plain,
( e13 = op1(e11,e11)
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_demodulation,[],[f678,f295]) ).
fof(f680,plain,
( e10 = e13
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_demodulation,[],[f679,f73]) ).
fof(f681,plain,
( $false
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f680,f17]) ).
fof(f682,plain,
( ~ spl0_29
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f681]) ).
fof(f683,plain,
( spl0_37
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f541,f205,f327]) ).
fof(f698,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
fof(f699,plain,
( $false
| ~ spl0_12
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f698,f311]) ).
fof(f700,plain,
( ~ spl0_12
| spl0_33 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f701,plain,
( spl0_36
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f580,f184,f323]) ).
fof(f703,plain,
( spl0_43
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f488,f230,f352]) ).
fof(f712,plain,
( spl0_31
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f502,f180,f302]) ).
fof(f714,plain,
( e11 = e14
| ~ spl0_23
| ~ spl0_37 ),
inference(forward_demodulation,[],[f396,f329]) ).
fof(f722,plain,
( $false
| ~ spl0_23
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f714,f13]) ).
fof(f723,plain,
( ~ spl0_23
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f727,plain,
( spl0_45
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f403,f272,f360]) ).
fof(f732,plain,
( e12 = e14
| ~ spl0_43
| ~ spl0_45 ),
inference(forward_demodulation,[],[f362,f354]) ).
fof(f733,plain,
( $false
| ~ spl0_43
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f732,f11]) ).
fof(f734,plain,
( ~ spl0_43
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f733]) ).
fof(f754,plain,
( e14 = j(e20)
| ~ spl0_21 ),
inference(superposition,[],[f115,f262]) ).
fof(f779,plain,
( e11 = e13
| ~ spl0_18
| ~ spl0_37 ),
inference(forward_demodulation,[],[f435,f329]) ).
fof(f781,plain,
( $false
| ~ spl0_18
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f779,f14]) ).
fof(f782,plain,
( ~ spl0_18
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f781]) ).
fof(f796,plain,
( e14 = j(e24)
| ~ spl0_25 ),
inference(superposition,[],[f115,f278]) ).
fof(f800,plain,
( op1(e14,e14) = j(op2(e24,e24))
| ~ spl0_50 ),
inference(superposition,[],[f125,f383]) ).
fof(f802,plain,
( op1(e14,e14) = j(e20)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f800,f80]) ).
fof(f803,plain,
( e13 = op1(e14,e14)
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f802,f295]) ).
fof(f804,plain,
( e10 = e13
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f803,f55]) ).
fof(f805,plain,
( $false
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f804,f17]) ).
fof(f806,plain,
( ~ spl0_29
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f805]) ).
fof(f812,plain,
( e13 = e14
| ~ spl0_25
| ~ spl0_49 ),
inference(forward_demodulation,[],[f796,f379]) ).
fof(f817,plain,
( $false
| ~ spl0_25
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f812,f10]) ).
fof(f818,plain,
( ~ spl0_25
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f819,plain,
( e12 = e13
| ~ spl0_19
| ~ spl0_43 ),
inference(forward_demodulation,[],[f442,f354]) ).
fof(f823,plain,
( e22 = e24
| ~ spl0_8
| ~ spl0_47 ),
inference(forward_demodulation,[],[f677,f207]) ).
fof(f828,plain,
( e11 = e14
| ~ spl0_25
| ~ spl0_47 ),
inference(forward_demodulation,[],[f796,f371]) ).
fof(f834,plain,
( $false
| ~ spl0_19
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f819,f12]) ).
fof(f835,plain,
( ~ spl0_19
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f834]) ).
fof(f836,plain,
( $false
| ~ spl0_8
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f823,f21]) ).
fof(f837,plain,
( ~ spl0_8
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f840,plain,
( $false
| ~ spl0_25
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f828,f13]) ).
fof(f841,plain,
( ~ spl0_25
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f840]) ).
fof(f843,plain,
( spl0_39
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f435,f247,f335]) ).
fof(f862,plain,
( op1(e14,e14) = j(op2(e24,e24))
| ~ spl0_50 ),
inference(superposition,[],[f125,f383]) ).
fof(f864,plain,
( op1(e14,e14) = j(e20)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f862,f80]) ).
fof(f865,plain,
( e11 = op1(e14,e14)
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f864,f287]) ).
fof(f866,plain,
( e10 = e11
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f865,f55]) ).
fof(f867,plain,
( $false
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f866,f19]) ).
fof(f868,plain,
( ~ spl0_27
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f867]) ).
fof(f870,plain,
( e10 = e11
| ~ spl0_7
| ~ spl0_31 ),
inference(forward_demodulation,[],[f644,f304]) ).
fof(f882,plain,
( $false
| ~ spl0_7
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f870,f19]) ).
fof(f883,plain,
( ~ spl0_7
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f882]) ).
fof(f899,plain,
( e20 = h(e10)
| ~ spl0_26 ),
inference(superposition,[],[f124,f283]) ).
fof(f900,plain,
( $false
| spl0_1
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f899,f177]) ).
fof(f901,plain,
( spl0_1
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f900]) ).
fof(f907,plain,
( e12 = op1(e14,e14)
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f864,f291]) ).
fof(f908,plain,
( e10 = e12
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f907,f55]) ).
fof(f909,plain,
( $false
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f908,f18]) ).
fof(f910,plain,
( ~ spl0_28
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f909]) ).
fof(f911,plain,
( spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f506,f176,f281]) ).
fof(f931,plain,
( $false
| spl0_7
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f646,f202]) ).
fof(f932,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f931]) ).
fof(f938,plain,
( e21 = h(e12)
| ~ spl0_33 ),
inference(superposition,[],[f123,f312]) ).
fof(f939,plain,
( $false
| spl0_12
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f938,f223]) ).
fof(f940,plain,
( spl0_12
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f939]) ).
fof(f956,plain,
( e12 = e13
| ~ spl0_38
| ~ spl0_39 ),
inference(superposition,[],[f333,f337]) ).
fof(f962,plain,
( $false
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f956,f12]) ).
fof(f963,plain,
( ~ spl0_38
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f962]) ).
fof(f985,plain,
( e23 = h(e11)
| ~ spl0_42 ),
inference(superposition,[],[f121,f350]) ).
fof(f1009,plain,
( e11 = e13
| ~ spl0_19
| ~ spl0_42 ),
inference(forward_demodulation,[],[f442,f350]) ).
fof(f1019,plain,
( e21 = e23
| ~ spl0_7
| ~ spl0_42 ),
inference(forward_demodulation,[],[f985,f203]) ).
fof(f1020,plain,
( $false
| ~ spl0_19
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1009,f14]) ).
fof(f1021,plain,
( ~ spl0_19
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f1020]) ).
fof(f1022,plain,
( $false
| ~ spl0_7
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1019,f24]) ).
fof(f1023,plain,
( ~ spl0_7
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f1022]) ).
fof(f1039,plain,
( e23 = h(e13)
| ~ spl0_44 ),
inference(superposition,[],[f121,f358]) ).
fof(f1051,plain,
( j(op2(e24,e20)) = op1(e14,j(e20))
| ~ spl0_50 ),
inference(superposition,[],[f129,f383]) ).
fof(f1067,plain,
( op1(e13,e13) = j(op2(e23,e23))
| ~ spl0_44 ),
inference(superposition,[],[f131,f358]) ).
fof(f1068,plain,
( op1(e13,e13) = j(e24)
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1067,f86]) ).
fof(f1069,plain,
( e14 = op1(e13,e13)
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1068,f383]) ).
fof(f1070,plain,
( e10 = e14
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1069,f61]) ).
fof(f1071,plain,
( $false
| ~ spl0_44
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1070,f16]) ).
fof(f1072,plain,
( ~ spl0_44
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1071]) ).
fof(f1098,plain,
( spl0_34
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f429,f243,f314]) ).
fof(f1147,plain,
( op1(e12,e12) = j(op2(e23,e23))
| ~ spl0_43 ),
inference(superposition,[],[f131,f354]) ).
fof(f1150,plain,
( op1(e12,e12) = j(e24)
| ~ spl0_43 ),
inference(forward_demodulation,[],[f1147,f86]) ).
fof(f1153,plain,
( e14 = op1(e12,e12)
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1150,f383]) ).
fof(f1156,plain,
( e10 = e14
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1153,f67]) ).
fof(f1159,plain,
( $false
| ~ spl0_43
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1156,f16]) ).
fof(f1160,plain,
( ~ spl0_43
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1159]) ).
fof(f1198,plain,
( e20 = e23
| ~ spl0_1
| ~ spl0_41 ),
inference(forward_demodulation,[],[f596,f178]) ).
fof(f1205,plain,
( $false
| ~ spl0_1
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1198,f27]) ).
fof(f1206,plain,
( ~ spl0_1
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1205]) ).
fof(f1217,plain,
( op1(e14,e14) = j(op2(e24,e20))
| ~ spl0_30
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1051,f299]) ).
fof(f1222,plain,
( op1(e14,e14) = j(e24)
| ~ spl0_30
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1217,f84]) ).
fof(f1225,plain,
( e14 = op1(e14,e14)
| ~ spl0_30
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1222,f383]) ).
fof(f1226,plain,
( e10 = e14
| ~ spl0_30
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1225,f55]) ).
fof(f1227,plain,
( $false
| ~ spl0_30
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1226,f16]) ).
fof(f1228,plain,
( ~ spl0_30
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1227]) ).
fof(f1290,plain,
( spl0_33
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f698,f222,f310]) ).
fof(f1292,plain,
( spl0_40
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f396,f268,f339]) ).
fof(f1355,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
fof(f1370,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f1386,plain,
( op1(e11,e11) = j(op2(e23,e23))
| ~ spl0_42 ),
inference(superposition,[],[f131,f350]) ).
fof(f1388,plain,
( op1(e11,e11) = j(e24)
| ~ spl0_42 ),
inference(forward_demodulation,[],[f1386,f86]) ).
fof(f1391,plain,
( e14 = op1(e11,e11)
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1388,f383]) ).
fof(f1394,plain,
( e10 = e14
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1391,f73]) ).
fof(f1397,plain,
( $false
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1394,f16]) ).
fof(f1398,plain,
( ~ spl0_42
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1397]) ).
fof(f1404,plain,
( e21 = e24
| ~ spl0_12
| ~ spl0_48 ),
inference(forward_demodulation,[],[f599,f224]) ).
fof(f1424,plain,
( $false
| ~ spl0_12
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1404,f23]) ).
fof(f1425,plain,
( ~ spl0_12
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1424]) ).
fof(f1444,plain,
( e13 = e14
| ~ spl0_23
| ~ spl0_39 ),
inference(forward_demodulation,[],[f396,f337]) ).
fof(f1456,plain,
( $false
| ~ spl0_23
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1444,f10]) ).
fof(f1457,plain,
( ~ spl0_23
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1456]) ).
fof(f1470,plain,
( spl0_49
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f450,f255,f377]) ).
fof(f1500,plain,
( e14 = j(e23)
| ~ spl0_24 ),
inference(superposition,[],[f115,f274]) ).
fof(f1509,plain,
( op1(e14,e14) = j(op2(e23,e23))
| ~ spl0_45 ),
inference(superposition,[],[f131,f362]) ).
fof(f1512,plain,
( op1(e14,e14) = j(e24)
| ~ spl0_45 ),
inference(forward_demodulation,[],[f1509,f86]) ).
fof(f1523,plain,
( spl0_46
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f525,f192,f365]) ).
fof(f1529,plain,
( op1(e10,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1370,f367]) ).
fof(f1545,plain,
( op1(e10,e12) = j(e23)
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1529,f83]) ).
fof(f1548,plain,
( e14 = op1(e10,e12)
| ~ spl0_33
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1545,f362]) ).
fof(f1551,plain,
( e12 = e14
| ~ spl0_33
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1548,f77]) ).
fof(f1552,plain,
( $false
| ~ spl0_33
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1551,f11]) ).
fof(f1553,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1552]) ).
fof(f1557,plain,
( e10 = e12
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_demodulation,[],[f291,f283]) ).
fof(f1572,plain,
( $false
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1557,f18]) ).
fof(f1573,plain,
( ~ spl0_26
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1572]) ).
fof(f1595,plain,
( e11 = e12
| ~ spl0_27
| ~ spl0_28 ),
inference(forward_demodulation,[],[f291,f287]) ).
fof(f1605,plain,
( $false
| ~ spl0_27
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1595,f15]) ).
fof(f1606,plain,
( ~ spl0_27
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1605]) ).
fof(f1609,plain,
( e10 = e12
| ~ spl0_15
| ~ spl0_46 ),
inference(forward_demodulation,[],[f594,f367]) ).
fof(f1613,plain,
( $false
| ~ spl0_15
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1609,f18]) ).
fof(f1614,plain,
( ~ spl0_15
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1613]) ).
fof(f1622,plain,
( e10 = j(e24)
| ~ spl0_45 ),
inference(forward_demodulation,[],[f1512,f55]) ).
fof(f1627,plain,
( $false
| ~ spl0_45
| spl0_46 ),
inference(forward_subsumption_resolution,[],[f1622,f366]) ).
fof(f1628,plain,
( ~ spl0_45
| spl0_46 ),
inference(avatar_contradiction_clause,[],[f1627]) ).
fof(f1633,plain,
( e13 = e14
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_demodulation,[],[f320,f316]) ).
fof(f1644,plain,
( $false
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1633,f10]) ).
fof(f1645,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f1644]) ).
fof(f1647,plain,
( spl0_44
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f442,f251,f356]) ).
fof(f1667,plain,
( j(op2(e24,e20)) = op1(j(e24),e11)
| ~ spl0_27 ),
inference(superposition,[],[f129,f287]) ).
fof(f1681,plain,
( j(op2(e24,e22)) = op1(j(e24),e10)
| ~ spl0_36 ),
inference(superposition,[],[f127,f325]) ).
fof(f1683,plain,
( op1(e12,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1681,f375]) ).
fof(f1684,plain,
( op1(e12,e10) = j(e21)
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1683,f82]) ).
fof(f1685,plain,
( e14 = op1(e12,e10)
| ~ spl0_35
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1684,f320]) ).
fof(f1686,plain,
( e12 = e14
| ~ spl0_35
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1685,f69]) ).
fof(f1687,plain,
( $false
| ~ spl0_35
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1686,f11]) ).
fof(f1688,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1687]) ).
fof(f1690,plain,
( op1(e13,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1667,f379]) ).
fof(f1692,plain,
( op1(e13,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1681,f379]) ).
fof(f1693,plain,
( $false
| spl0_19
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1039,f252]) ).
fof(f1694,plain,
( spl0_19
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1693]) ).
fof(f1697,plain,
( op1(e13,e11) = j(e24)
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1690,f84]) ).
fof(f1699,plain,
( op1(e13,e10) = j(e21)
| ~ spl0_36
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1692,f82]) ).
fof(f1700,plain,
( e13 = op1(e13,e11)
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1697,f379]) ).
fof(f1702,plain,
( e14 = op1(e13,e10)
| ~ spl0_35
| ~ spl0_36
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1699,f320]) ).
fof(f1703,plain,
( e12 = e13
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1700,f63]) ).
fof(f1705,plain,
( e13 = e14
| ~ spl0_35
| ~ spl0_36
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1702,f64]) ).
fof(f1706,plain,
( $false
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1703,f12]) ).
fof(f1707,plain,
( ~ spl0_27
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1706]) ).
fof(f1710,plain,
( $false
| ~ spl0_35
| ~ spl0_36
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1705,f10]) ).
fof(f1711,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1710]) ).
fof(f1717,plain,
( op1(e11,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1681,f371]) ).
fof(f1726,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1717,f82]) ).
fof(f1728,plain,
( e14 = op1(e11,e10)
| ~ spl0_35
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1726,f320]) ).
fof(f1730,plain,
( e11 = e14
| ~ spl0_35
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1728,f74]) ).
fof(f1733,plain,
( $false
| ~ spl0_35
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1730,f13]) ).
fof(f1734,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1733]) ).
fof(f1770,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f1772,plain,
( op1(e13,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1770,f379]) ).
fof(f1773,plain,
( op1(e13,e11) = j(e21)
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1772,f82]) ).
fof(f1774,plain,
( e14 = op1(e13,e11)
| ~ spl0_35
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1773,f320]) ).
fof(f1775,plain,
( e12 = e14
| ~ spl0_35
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1774,f63]) ).
fof(f1776,plain,
( $false
| ~ spl0_35
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1775,f11]) ).
fof(f1777,plain,
( ~ spl0_35
| ~ spl0_37
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1776]) ).
fof(f1790,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f1792,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f1796,plain,
( op1(e13,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1792,f379]) ).
fof(f1797,plain,
( op1(e13,e11) = j(e23)
| ~ spl0_32
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1796,f83]) ).
fof(f1809,plain,
( op1(e10,e10) = j(op2(e23,e23))
| ~ spl0_41 ),
inference(superposition,[],[f131,f346]) ).
fof(f1810,plain,
( op1(e10,e10) = j(e24)
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1809,f86]) ).
fof(f1813,plain,
( e13 = op1(e10,e10)
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1810,f379]) ).
fof(f1816,plain,
( e10 = e13
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1813,f79]) ).
fof(f1819,plain,
( $false
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1816,f17]) ).
fof(f1820,plain,
( ~ spl0_41
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1819]) ).
fof(f1850,plain,
( op1(e12,e12) = j(op2(e23,e23))
| ~ spl0_43 ),
inference(superposition,[],[f131,f354]) ).
fof(f1852,plain,
( op1(e12,e12) = j(e24)
| ~ spl0_43 ),
inference(forward_demodulation,[],[f1850,f86]) ).
fof(f1855,plain,
( e13 = op1(e12,e12)
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1852,f379]) ).
fof(f1858,plain,
( e10 = e13
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1855,f67]) ).
fof(f1861,plain,
( $false
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1858,f17]) ).
fof(f1862,plain,
( ~ spl0_43
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1861]) ).
fof(f1866,plain,
( e13 = op1(e13,e11)
| ~ spl0_32
| ~ spl0_44
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1797,f358]) ).
fof(f1869,plain,
( e12 = e13
| ~ spl0_32
| ~ spl0_44
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1866,f63]) ).
fof(f1870,plain,
( $false
| ~ spl0_32
| ~ spl0_44
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1869,f12]) ).
fof(f1871,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1870]) ).
fof(f1922,plain,
( e21 = h(e10)
| ~ spl0_31 ),
inference(superposition,[],[f123,f304]) ).
fof(f1928,plain,
( e23 = h(e11)
| ~ spl0_42 ),
inference(superposition,[],[f121,f350]) ).
fof(f1931,plain,
( op1(e11,e11) = j(op2(e23,e23))
| ~ spl0_42 ),
inference(superposition,[],[f131,f350]) ).
fof(f1933,plain,
( op1(e11,e11) = j(e24)
| ~ spl0_42 ),
inference(forward_demodulation,[],[f1931,f86]) ).
fof(f1936,plain,
( e13 = op1(e11,e11)
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1933,f379]) ).
fof(f1939,plain,
( e10 = e13
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1936,f73]) ).
fof(f1942,plain,
( $false
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1939,f17]) ).
fof(f1943,plain,
( ~ spl0_42
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1942]) ).
fof(f1951,plain,
( e12 = e14
| ~ spl0_21
| ~ spl0_28 ),
inference(forward_demodulation,[],[f754,f291]) ).
fof(f1970,plain,
( $false
| ~ spl0_21
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1951,f11]) ).
fof(f1971,plain,
( ~ spl0_21
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1970]) ).
fof(f2027,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f2032,plain,
( e23 = h(e10)
| ~ spl0_41 ),
inference(superposition,[],[f121,f346]) ).
fof(f2035,plain,
( op1(e10,e10) = j(op2(e23,e23))
| ~ spl0_41 ),
inference(superposition,[],[f131,f346]) ).
fof(f2036,plain,
( op1(e10,e10) = j(e24)
| ~ spl0_41 ),
inference(forward_demodulation,[],[f2035,f86]) ).
fof(f2039,plain,
( e12 = op1(e10,e10)
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2036,f375]) ).
fof(f2042,plain,
( e10 = e12
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2039,f79]) ).
fof(f2045,plain,
( $false
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2042,f18]) ).
fof(f2046,plain,
( ~ spl0_41
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2045]) ).
fof(f2055,plain,
( op1(e10,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2027,f367]) ).
fof(f2062,plain,
( op1(e10,e11) = j(e21)
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2055,f82]) ).
fof(f2065,plain,
( e13 = op1(e10,e11)
| ~ spl0_34
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2062,f316]) ).
fof(f2066,plain,
( e11 = e13
| ~ spl0_34
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2065,f78]) ).
fof(f2067,plain,
( $false
| ~ spl0_34
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2066,f14]) ).
fof(f2068,plain,
( ~ spl0_34
| ~ spl0_37
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2067]) ).
fof(f2073,plain,
( e12 = op1(e10,e11)
| ~ spl0_33
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2062,f312]) ).
fof(f2078,plain,
( e11 = e12
| ~ spl0_33
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2073,f78]) ).
fof(f2079,plain,
( $false
| ~ spl0_33
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2078,f15]) ).
fof(f2080,plain,
( ~ spl0_33
| ~ spl0_37
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2079]) ).
fof(f2116,plain,
( j(op2(e24,e22)) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f127,f333]) ).
fof(f2118,plain,
( op1(e10,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2116,f367]) ).
fof(f2119,plain,
( op1(e10,e12) = j(e21)
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2118,f82]) ).
fof(f2120,plain,
( e13 = op1(e10,e12)
| ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2119,f316]) ).
fof(f2121,plain,
( e12 = e13
| ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2120,f77]) ).
fof(f2122,plain,
( $false
| ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2121,f12]) ).
fof(f2123,plain,
( ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2122]) ).
fof(f2146,plain,
( e22 = e24
| ~ spl0_3
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f186]) ).
fof(f2147,plain,
( $false
| ~ spl0_3
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2146,f21]) ).
fof(f2148,plain,
( ~ spl0_3
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2147]) ).
fof(f2197,plain,
( j(op2(e24,e22)) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f127,f333]) ).
fof(f2199,plain,
( op1(e10,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2197,f367]) ).
fof(f2200,plain,
( op1(e10,e12) = j(e21)
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2199,f82]) ).
fof(f2201,plain,
( e14 = op1(e10,e12)
| ~ spl0_35
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2200,f320]) ).
fof(f2202,plain,
( e12 = e14
| ~ spl0_35
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2201,f77]) ).
fof(f2203,plain,
( $false
| ~ spl0_35
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2202,f11]) ).
fof(f2204,plain,
( ~ spl0_35
| ~ spl0_38
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2203]) ).
fof(f2205,plain,
( e12 = e14
| ~ spl0_23
| ~ spl0_38 ),
inference(forward_demodulation,[],[f396,f333]) ).
fof(f2206,plain,
( e12 = e14
| ~ spl0_23
| ~ spl0_38 ),
inference(forward_demodulation,[],[f1790,f333]) ).
fof(f2209,plain,
( $false
| spl0_2
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f1922,f181]) ).
fof(f2210,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f2209]) ).
fof(f2216,plain,
( $false
| ~ spl0_23
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f2205,f11]) ).
fof(f2217,plain,
( ~ spl0_23
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f2216]) ).
fof(f2218,plain,
( $false
| ~ spl0_23
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f2206,f11]) ).
fof(f2219,plain,
( ~ spl0_23
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f2218]) ).
fof(f2223,plain,
( e10 = e12
| ~ spl0_12
| ~ spl0_31 ),
inference(forward_demodulation,[],[f1355,f304]) ).
fof(f2230,plain,
( $false
| ~ spl0_12
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f2223,f18]) ).
fof(f2231,plain,
( ~ spl0_12
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f2230]) ).
fof(f2241,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f2245,plain,
( op1(e10,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2241,f367]) ).
fof(f2246,plain,
( op1(e10,e12) = j(e23)
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2245,f83]) ).
fof(f2247,plain,
( e13 = op1(e10,e12)
| ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2246,f358]) ).
fof(f2248,plain,
( e12 = e13
| ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2247,f77]) ).
fof(f2249,plain,
( $false
| ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2248,f12]) ).
fof(f2250,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2249]) ).
fof(f2252,plain,
( e13 = e14
| ~ spl0_24
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1500,f358]) ).
fof(f2261,plain,
( $false
| ~ spl0_24
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f2252,f10]) ).
fof(f2262,plain,
( ~ spl0_24
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f2261]) ).
fof(f2302,plain,
( j(op2(e24,e23)) = op1(j(e24),e12)
| ~ spl0_43 ),
inference(superposition,[],[f126,f354]) ).
fof(f2303,plain,
( j(op2(e23,e24)) = op1(e12,j(e24))
| ~ spl0_43 ),
inference(superposition,[],[f130,f354]) ).
fof(f2308,plain,
( op1(e12,e10) = j(op2(e23,e24))
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2303,f367]) ).
fof(f2309,plain,
( op1(e10,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2302,f367]) ).
fof(f2311,plain,
( op1(e12,e10) = j(e21)
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2308,f85]) ).
fof(f2312,plain,
( op1(e10,e12) = j(e22)
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2309,f81]) ).
fof(f2313,plain,
( e13 = op1(e12,e10)
| ~ spl0_34
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2311,f316]) ).
fof(f2314,plain,
( e14 = op1(e10,e12)
| ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2312,f341]) ).
fof(f2315,plain,
( e12 = e13
| ~ spl0_34
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2313,f69]) ).
fof(f2316,plain,
( e12 = e14
| ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2314,f77]) ).
fof(f2317,plain,
( $false
| ~ spl0_34
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2315,f12]) ).
fof(f2318,plain,
( ~ spl0_34
| ~ spl0_43
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2317]) ).
fof(f2319,plain,
( $false
| ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2316,f11]) ).
fof(f2320,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2319]) ).
fof(f2326,plain,
( $false
| spl0_4
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2032,f189]) ).
fof(f2327,plain,
( spl0_4
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f2326]) ).
fof(f2343,plain,
( e23 = e24
| ~ spl0_4
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f190]) ).
fof(f2345,plain,
( $false
| ~ spl0_4
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2343,f20]) ).
fof(f2346,plain,
( ~ spl0_4
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2345]) ).
fof(f2349,plain,
( e20 = e23
| ~ spl0_6
| ~ spl0_42 ),
inference(forward_demodulation,[],[f1928,f199]) ).
fof(f2359,plain,
( $false
| ~ spl0_6
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f2349,f27]) ).
fof(f2360,plain,
( ~ spl0_6
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f2359]) ).
fof(f2377,plain,
( e20 = e24
| ~ spl0_1
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f178]) ).
fof(f2379,plain,
( $false
| ~ spl0_1
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2377,f26]) ).
fof(f2380,plain,
( ~ spl0_1
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2379]) ).
fof(f2450,plain,
( j(op2(e24,e23)) = op1(j(e24),e11)
| ~ spl0_42 ),
inference(superposition,[],[f126,f350]) ).
fof(f2451,plain,
( j(op2(e23,e24)) = op1(e11,j(e24))
| ~ spl0_42 ),
inference(superposition,[],[f130,f350]) ).
fof(f2455,plain,
( op1(e11,e10) = j(op2(e23,e24))
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2451,f367]) ).
fof(f2456,plain,
( op1(e10,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2450,f367]) ).
fof(f2458,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2455,f85]) ).
fof(f2459,plain,
( op1(e10,e11) = j(e22)
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2456,f81]) ).
fof(f2461,plain,
( e13 = op1(e10,e11)
| ~ spl0_39
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2459,f337]) ).
fof(f2463,plain,
( e11 = e13
| ~ spl0_39
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2461,f78]) ).
fof(f2466,plain,
( $false
| ~ spl0_39
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2463,f14]) ).
fof(f2467,plain,
( ~ spl0_39
| ~ spl0_42
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2466]) ).
fof(f2472,plain,
( e13 = op1(e11,e10)
| ~ spl0_34
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2458,f316]) ).
fof(f2479,plain,
( e11 = e13
| ~ spl0_34
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2472,f74]) ).
fof(f2482,plain,
( $false
| ~ spl0_34
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2479,f14]) ).
fof(f2483,plain,
( ~ spl0_34
| ~ spl0_42
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2482]) ).
fof(f2521,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f2524,plain,
( op1(e10,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2521,f367]) ).
fof(f2525,plain,
( op1(e10,e11) = j(e21)
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2524,f82]) ).
fof(f2526,plain,
( e14 = op1(e10,e11)
| ~ spl0_35
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2525,f320]) ).
fof(f2527,plain,
( e11 = e14
| ~ spl0_35
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2526,f78]) ).
fof(f2528,plain,
( $false
| ~ spl0_35
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2527,f13]) ).
fof(f2529,plain,
( ~ spl0_35
| ~ spl0_37
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2528]) ).
fof(f2559,plain,
( j(op2(e24,e22)) = op1(j(e24),e13)
| ~ spl0_39 ),
inference(superposition,[],[f127,f337]) ).
fof(f2563,plain,
( op1(e10,e13) = j(op2(e24,e22))
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2559,f367]) ).
fof(f2564,plain,
( op1(e10,e13) = j(e21)
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2563,f82]) ).
fof(f2565,plain,
( e14 = op1(e10,e13)
| ~ spl0_35
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2564,f320]) ).
fof(f2566,plain,
( e13 = e14
| ~ spl0_35
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2565,f76]) ).
fof(f2567,plain,
( $false
| ~ spl0_35
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2566,f10]) ).
fof(f2568,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2567]) ).
fof(f2591,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f2595,plain,
( op1(e10,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2591,f367]) ).
fof(f2596,plain,
( op1(e10,e11) = j(e23)
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2595,f83]) ).
fof(f2597,plain,
( e12 = op1(e10,e11)
| ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2596,f354]) ).
fof(f2598,plain,
( e11 = e12
| ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2597,f78]) ).
fof(f2599,plain,
( $false
| ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2598,f15]) ).
fof(f2600,plain,
( ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2599]) ).
fof(f2604,plain,
( e14 = op1(e10,e11)
| ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2596,f362]) ).
fof(f2610,plain,
( e11 = e14
| ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2604,f78]) ).
fof(f2611,plain,
( $false
| ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2610,f13]) ).
fof(f2612,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2611]) ).
fof(f2616,plain,
( e13 = op1(e10,e11)
| ~ spl0_32
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2596,f358]) ).
fof(f2624,plain,
( e11 = e13
| ~ spl0_32
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2616,f78]) ).
fof(f2625,plain,
( $false
| ~ spl0_32
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2624,f14]) ).
fof(f2626,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2625]) ).
fof(f2635,plain,
( e21 = e24
| ~ spl0_7
| ~ spl0_47 ),
inference(forward_demodulation,[],[f677,f203]) ).
fof(f2654,plain,
( $false
| ~ spl0_7
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2635,f23]) ).
fof(f2655,plain,
( ~ spl0_7
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2654]) ).
fof(f2698,plain,
( op1(e13,e13) = j(op2(e23,e23))
| ~ spl0_44 ),
inference(superposition,[],[f131,f358]) ).
fof(f2702,plain,
( op1(e13,e13) = j(e24)
| ~ spl0_44 ),
inference(forward_demodulation,[],[f2698,f86]) ).
fof(f2705,plain,
( e12 = op1(e13,e13)
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2702,f375]) ).
fof(f2708,plain,
( e10 = e12
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2705,f61]) ).
fof(f2711,plain,
( $false
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2708,f18]) ).
fof(f2712,plain,
( ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2711]) ).
fof(f2740,plain,
( e23 = e24
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_demodulation,[],[f599,f232]) ).
fof(f2742,plain,
( $false
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2740,f20]) ).
fof(f2743,plain,
( ~ spl0_14
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2742]) ).
fof(f2795,plain,
( op1(e10,e10) = j(op2(e23,e23))
| ~ spl0_41 ),
inference(superposition,[],[f131,f346]) ).
fof(f2797,plain,
( op1(e10,e10) = j(e24)
| ~ spl0_41 ),
inference(forward_demodulation,[],[f2795,f86]) ).
fof(f2800,plain,
( e11 = op1(e10,e10)
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2797,f371]) ).
fof(f2803,plain,
( e10 = e11
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2800,f79]) ).
fof(f2806,plain,
( $false
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2803,f19]) ).
fof(f2807,plain,
( ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2806]) ).
fof(f2853,plain,
( op1(e12,e12) = j(op2(e23,e23))
| ~ spl0_43 ),
inference(superposition,[],[f131,f354]) ).
fof(f2856,plain,
( op1(e12,e12) = j(e24)
| ~ spl0_43 ),
inference(forward_demodulation,[],[f2853,f86]) ).
fof(f2859,plain,
( e11 = op1(e12,e12)
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2856,f371]) ).
fof(f2862,plain,
( e10 = e11
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2859,f67]) ).
fof(f2865,plain,
( $false
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2862,f19]) ).
fof(f2866,plain,
( ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2865]) ).
fof(f2870,plain,
( e12 = e13
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_demodulation,[],[f316,f312]) ).
fof(f2888,plain,
( $false
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f2870,f12]) ).
fof(f2889,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f2888]) ).
fof(f2980,plain,
( op1(e13,e13) = j(op2(e23,e23))
| ~ spl0_44 ),
inference(superposition,[],[f131,f358]) ).
fof(f2983,plain,
( op1(e13,e13) = j(e24)
| ~ spl0_44 ),
inference(forward_demodulation,[],[f2980,f86]) ).
fof(f2986,plain,
( e11 = op1(e13,e13)
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2983,f371]) ).
fof(f2989,plain,
( e10 = e11
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2986,f61]) ).
fof(f2992,plain,
( $false
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2989,f19]) ).
fof(f2993,plain,
( ~ spl0_44
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2992]) ).
fof(f3073,plain,
( op1(e11,e11) = j(op2(e23,e23))
| ~ spl0_42 ),
inference(superposition,[],[f131,f350]) ).
fof(f3075,plain,
( op1(e11,e11) = j(e24)
| ~ spl0_42 ),
inference(forward_demodulation,[],[f3073,f86]) ).
fof(f3078,plain,
( e12 = op1(e11,e11)
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3075,f375]) ).
fof(f3081,plain,
( e10 = e12
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3078,f73]) ).
fof(f3084,plain,
( $false
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3081,f18]) ).
fof(f3085,plain,
( ~ spl0_42
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3084]) ).
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(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(s15,plain,
( ~ spl0_25
| ~ spl0_46 ),
inference(sat_conversion,[],[f414]) ).
cnf(s16,plain,
( ~ spl0_21
| spl0_30 ),
inference(sat_conversion,[],[f415]) ).
cnf(s17,plain,
( ~ spl0_27
| ~ spl0_30 ),
inference(sat_conversion,[],[f419]) ).
cnf(s18,plain,
( ~ spl0_16
| spl0_29 ),
inference(sat_conversion,[],[f427]) ).
cnf(s19,plain,
( ~ spl0_17
| ~ spl0_31 ),
inference(sat_conversion,[],[f432]) ).
cnf(s20,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(sat_conversion,[],[f438]) ).
cnf(s22,plain,
( ~ spl0_20
| ~ spl0_46 ),
inference(sat_conversion,[],[f453]) ).
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(s31,plain,
( ~ spl0_6
| spl0_27 ),
inference(sat_conversion,[],[f495]) ).
cnf(s32,plain,
( ~ spl0_10
| ~ spl0_46 ),
inference(sat_conversion,[],[f500]) ).
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_29
| ~ spl0_46 ),
inference(sat_conversion,[],[f563]) ).
cnf(s45,plain,
( ~ spl0_4
| spl0_41 ),
inference(sat_conversion,[],[f564]) ).
cnf(s46,plain,
( ~ spl0_13
| ~ spl0_37 ),
inference(sat_conversion,[],[f572]) ).
cnf(s50,plain,
( spl0_14
| ~ spl0_43 ),
inference(sat_conversion,[],[f584]) ).
cnf(s51,plain,
( ~ spl0_15
| spl0_48 ),
inference(sat_conversion,[],[f595]) ).
cnf(s56,plain,
( ~ spl0_13
| spl0_38 ),
inference(sat_conversion,[],[f618]) ).
cnf(s58,plain,
( ~ spl0_6
| spl0_27 ),
inference(sat_conversion,[],[f623]) ).
cnf(s64,plain,
( ~ spl0_10
| spl0_47 ),
inference(sat_conversion,[],[f654]) ).
cnf(s68,plain,
( ~ spl0_29
| ~ spl0_47 ),
inference(sat_conversion,[],[f682]) ).
cnf(s69,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f683]) ).
cnf(s71,plain,
( ~ spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f700]) ).
cnf(s72,plain,
( ~ spl0_3
| spl0_36 ),
inference(sat_conversion,[],[f701]) ).
cnf(s74,plain,
( ~ spl0_14
| spl0_43 ),
inference(sat_conversion,[],[f703]) ).
cnf(s76,plain,
( ~ spl0_2
| spl0_31 ),
inference(sat_conversion,[],[f712]) ).
cnf(s78,plain,
( ~ spl0_23
| ~ spl0_37 ),
inference(sat_conversion,[],[f723]) ).
cnf(s80,plain,
( ~ spl0_24
| spl0_45 ),
inference(sat_conversion,[],[f727]) ).
cnf(s81,plain,
( ~ spl0_43
| ~ spl0_45 ),
inference(sat_conversion,[],[f734]) ).
cnf(s87,plain,
( ~ spl0_18
| ~ spl0_37 ),
inference(sat_conversion,[],[f782]) ).
cnf(s90,plain,
( ~ spl0_29
| ~ spl0_50 ),
inference(sat_conversion,[],[f806]) ).
cnf(s93,plain,
( ~ spl0_25
| ~ spl0_49 ),
inference(sat_conversion,[],[f818]) ).
cnf(s95,plain,
( ~ spl0_19
| ~ spl0_43 ),
inference(sat_conversion,[],[f835]) ).
cnf(s96,plain,
( ~ spl0_8
| ~ spl0_47 ),
inference(sat_conversion,[],[f837]) ).
cnf(s98,plain,
( ~ spl0_25
| ~ spl0_47 ),
inference(sat_conversion,[],[f841]) ).
cnf(s99,plain,
( ~ spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f843]) ).
cnf(s100,plain,
( ~ spl0_27
| ~ spl0_50 ),
inference(sat_conversion,[],[f868]) ).
cnf(s102,plain,
( ~ spl0_7
| ~ spl0_31 ),
inference(sat_conversion,[],[f883]) ).
cnf(s107,plain,
( spl0_1
| ~ spl0_26 ),
inference(sat_conversion,[],[f901]) ).
cnf(s109,plain,
( ~ spl0_28
| ~ spl0_50 ),
inference(sat_conversion,[],[f910]) ).
cnf(s110,plain,
( ~ spl0_1
| spl0_26 ),
inference(sat_conversion,[],[f911]) ).
cnf(s114,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f932]) ).
cnf(s115,plain,
( spl0_12
| ~ spl0_33 ),
inference(sat_conversion,[],[f940]) ).
cnf(s121,plain,
( ~ spl0_38
| ~ spl0_39 ),
inference(sat_conversion,[],[f963]) ).
cnf(s128,plain,
( ~ spl0_19
| ~ spl0_42 ),
inference(sat_conversion,[],[f1021]) ).
cnf(s129,plain,
( ~ spl0_7
| ~ spl0_42 ),
inference(sat_conversion,[],[f1023]) ).
cnf(s130,plain,
( ~ spl0_44
| ~ spl0_50 ),
inference(sat_conversion,[],[f1072]) ).
cnf(s142,plain,
( ~ spl0_17
| spl0_34 ),
inference(sat_conversion,[],[f1098]) ).
cnf(s144,plain,
( ~ spl0_43
| ~ spl0_50 ),
inference(sat_conversion,[],[f1160]) ).
cnf(s152,plain,
( ~ spl0_1
| ~ spl0_41 ),
inference(sat_conversion,[],[f1206]) ).
cnf(s155,plain,
( ~ spl0_30
| ~ spl0_50 ),
inference(sat_conversion,[],[f1228]) ).
cnf(s171,plain,
( ~ spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f1290]) ).
cnf(s172,plain,
( ~ spl0_23
| spl0_40 ),
inference(sat_conversion,[],[f1292]) ).
cnf(s185,plain,
( ~ spl0_42
| ~ spl0_50 ),
inference(sat_conversion,[],[f1398]) ).
cnf(s190,plain,
( ~ spl0_12
| ~ spl0_48 ),
inference(sat_conversion,[],[f1425]) ).
cnf(s198,plain,
( ~ spl0_23
| ~ spl0_39 ),
inference(sat_conversion,[],[f1457]) ).
cnf(s205,plain,
( ~ spl0_20
| spl0_49 ),
inference(sat_conversion,[],[f1470]) ).
cnf(s209,plain,
( ~ spl0_5
| spl0_46 ),
inference(sat_conversion,[],[f1523]) ).
cnf(s216,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_46 ),
inference(sat_conversion,[],[f1553]) ).
cnf(s226,plain,
( ~ spl0_26
| ~ spl0_28 ),
inference(sat_conversion,[],[f1573]) ).
cnf(s234,plain,
( ~ spl0_27
| ~ spl0_28 ),
inference(sat_conversion,[],[f1606]) ).
cnf(s235,plain,
( ~ spl0_15
| ~ spl0_46 ),
inference(sat_conversion,[],[f1614]) ).
cnf(s240,plain,
( ~ spl0_45
| spl0_46 ),
inference(sat_conversion,[],[f1628]) ).
cnf(s250,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(sat_conversion,[],[f1645]) ).
cnf(s251,plain,
( ~ spl0_19
| spl0_44 ),
inference(sat_conversion,[],[f1647]) ).
cnf(s253,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_48 ),
inference(sat_conversion,[],[f1688]) ).
cnf(s260,plain,
( spl0_19
| ~ spl0_44 ),
inference(sat_conversion,[],[f1694]) ).
cnf(s261,plain,
( ~ spl0_27
| ~ spl0_49 ),
inference(sat_conversion,[],[f1707]) ).
cnf(s263,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_49 ),
inference(sat_conversion,[],[f1711]) ).
cnf(s269,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_47 ),
inference(sat_conversion,[],[f1734]) ).
cnf(s280,plain,
( ~ spl0_35
| ~ spl0_37
| ~ spl0_49 ),
inference(sat_conversion,[],[f1777]) ).
cnf(s286,plain,
( ~ spl0_41
| ~ spl0_49 ),
inference(sat_conversion,[],[f1820]) ).
cnf(s294,plain,
( ~ spl0_43
| ~ spl0_49 ),
inference(sat_conversion,[],[f1862]) ).
cnf(s301,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_49 ),
inference(sat_conversion,[],[f1871]) ).
cnf(s317,plain,
( ~ spl0_42
| ~ spl0_49 ),
inference(sat_conversion,[],[f1943]) ).
cnf(s330,plain,
( ~ spl0_21
| ~ spl0_28 ),
inference(sat_conversion,[],[f1971]) ).
cnf(s344,plain,
( ~ spl0_41
| ~ spl0_48 ),
inference(sat_conversion,[],[f2046]) ).
cnf(s351,plain,
( ~ spl0_34
| ~ spl0_37
| ~ spl0_46 ),
inference(sat_conversion,[],[f2068]) ).
cnf(s357,plain,
( ~ spl0_33
| ~ spl0_37
| ~ spl0_46 ),
inference(sat_conversion,[],[f2080]) ).
cnf(s370,plain,
( ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(sat_conversion,[],[f2123]) ).
cnf(s377,plain,
( ~ spl0_3
| ~ spl0_46 ),
inference(sat_conversion,[],[f2148]) ).
cnf(s392,plain,
( ~ spl0_35
| ~ spl0_38
| ~ spl0_46 ),
inference(sat_conversion,[],[f2204]) ).
cnf(s394,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f2210]) ).
cnf(s395,plain,
( ~ spl0_23
| ~ spl0_38 ),
inference(sat_conversion,[],[f2217]) ).
cnf(s396,plain,
( ~ spl0_23
| ~ spl0_38 ),
inference(sat_conversion,[],[f2219]) ).
cnf(s401,plain,
( ~ spl0_12
| ~ spl0_31 ),
inference(sat_conversion,[],[f2231]) ).
cnf(s405,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(sat_conversion,[],[f2250]) ).
cnf(s415,plain,
( ~ spl0_24
| ~ spl0_44 ),
inference(sat_conversion,[],[f2262]) ).
cnf(s429,plain,
( ~ spl0_34
| ~ spl0_43
| ~ spl0_46 ),
inference(sat_conversion,[],[f2318]) ).
cnf(s430,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(sat_conversion,[],[f2320]) ).
cnf(s436,plain,
( spl0_4
| ~ spl0_41 ),
inference(sat_conversion,[],[f2327]) ).
cnf(s439,plain,
( ~ spl0_4
| ~ spl0_46 ),
inference(sat_conversion,[],[f2346]) ).
cnf(s442,plain,
( ~ spl0_6
| ~ spl0_42 ),
inference(sat_conversion,[],[f2360]) ).
cnf(s449,plain,
( ~ spl0_1
| ~ spl0_46 ),
inference(sat_conversion,[],[f2380]) ).
cnf(s467,plain,
( ~ spl0_39
| ~ spl0_42
| ~ spl0_46 ),
inference(sat_conversion,[],[f2467]) ).
cnf(s484,plain,
( ~ spl0_34
| ~ spl0_42
| ~ spl0_46 ),
inference(sat_conversion,[],[f2483]) ).
cnf(s500,plain,
( ~ spl0_35
| ~ spl0_37
| ~ spl0_46 ),
inference(sat_conversion,[],[f2529]) ).
cnf(s515,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_46 ),
inference(sat_conversion,[],[f2568]) ).
cnf(s526,plain,
( ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(sat_conversion,[],[f2600]) ).
cnf(s535,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(sat_conversion,[],[f2612]) ).
cnf(s552,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_46 ),
inference(sat_conversion,[],[f2626]) ).
cnf(s561,plain,
( ~ spl0_7
| ~ spl0_47 ),
inference(sat_conversion,[],[f2655]) ).
cnf(s566,plain,
( ~ spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f2712]) ).
cnf(s585,plain,
( ~ spl0_14
| ~ spl0_48 ),
inference(sat_conversion,[],[f2743]) ).
cnf(s596,plain,
( ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f2807]) ).
cnf(s616,plain,
( ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f2866]) ).
cnf(s646,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(sat_conversion,[],[f2889]) ).
cnf(s680,plain,
( ~ spl0_44
| ~ spl0_47 ),
inference(sat_conversion,[],[f2993]) ).
cnf(s716,plain,
( ~ spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f3085]) ).
cnf(s717,plain,
( ~ spl0_42
| ~ spl0_46 ),
inference(rat,[],[s4,s99,s142,s128,s467,s484,s22,s18,s44]) ).
cnf(s718,plain,
( spl0_7
| spl0_6
| ~ spl0_46
| spl0_31 ),
inference(rat,[],[s7,s351,s357,s500,s69,s2,s114,s32,s39,s717]) ).
cnf(s719,plain,
( ~ spl0_32
| ~ spl0_46
| spl0_41 ),
inference(rat,[],[s9,s526,s535,s552,s717]) ).
cnf(s720,plain,
( spl0_44
| spl0_43
| spl0_34
| ~ spl0_46
| spl0_41
| spl0_31 ),
inference(rat,[],[s515,s7,s99,s216,s4,s9,s251,s22,s18,s44,s717,s719,s142]) ).
cnf(s721,plain,
( spl0_43
| spl0_34
| ~ spl0_46
| spl0_41
| spl0_31 ),
inference(rat,[],[s56,s392,s3,s7,s171,s405,s720,s74,s235,s28,s234,s58,s718,s40,s719]) ).
cnf(s722,plain,
( spl0_34
| ~ spl0_46
| spl0_41
| spl0_31 ),
inference(rat,[],[s515,s26,s99,s5,s80,s4,s172,s81,s95,s430,s721,s142,s22,s15,s18,s44,s16,s17,s58,s718,s40,s719]) ).
cnf(s723,plain,
( spl0_4
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s3,s56,s74,s171,s370,s429,s646,s722,s28,s234,s58,s718,s40,s719,s235,s209,s1,s436,s394]) ).
cnf(s724,plain,
( ~ spl0_50
| spl0_26 ),
inference(rat,[],[s6,s90,s100,s109,s155]) ).
cnf(s725,plain,
( ~ spl0_35
| ~ spl0_3
| spl0_50 ),
inference(rat,[],[s10,s253,s263,s269,s377,s72]) ).
cnf(s726,plain,
( ~ spl0_6
| spl0_43
| spl0_48
| spl0_46
| spl0_41
| spl0_50 ),
inference(rat,[],[s10,s680,s261,s9,s58,s442,s240]) ).
cnf(s727,plain,
( spl0_44
| spl0_43
| spl0_48
| spl0_17
| spl0_18
| spl0_46
| spl0_41
| spl0_50 ),
inference(rat,[],[s18,s68,s4,s10,s205,s317,s9,s251,s240]) ).
cnf(s728,plain,
( spl0_43
| spl0_48
| spl0_7
| spl0_17
| spl0_18
| spl0_8
| spl0_46
| spl0_41
| spl0_50 ),
inference(rat,[],[s39,s2,s128,s64,s260,s680,s727,s726]) ).
cnf(s729,plain,
( spl0_48
| spl0_7
| spl0_50
| spl0_17
| spl0_18
| spl0_8
| spl0_46
| spl0_41 ),
inference(rat,[],[s10,s294,s616,s728]) ).
cnf(s730,plain,
( spl0_32
| spl0_34
| spl0_35
| spl0_18
| spl0_8
| spl0_46
| spl0_41
| spl0_31
| spl0_50 ),
inference(rat,[],[s729,s190,s115,s7,s40,s142]) ).
cnf(s731,plain,
( ~ spl0_44
| ~ spl0_32
| spl0_46
| spl0_50 ),
inference(rat,[],[s10,s301,s566,s561,s114]) ).
cnf(s732,plain,
( ~ spl0_32
| spl0_46
| spl0_41
| spl0_50 ),
inference(rat,[],[s585,s10,s50,s294,s9,s731,s129,s561,s114,s240]) ).
cnf(s733,plain,
( spl0_48
| spl0_14
| spl0_12
| spl0_22
| spl0_23
| spl0_13
| spl0_46
| spl0_50 ),
inference(rat,[],[s10,s93,s98,s5,s330,s28,s3,s51,s80,s240]) ).
cnf(s734,plain,
( spl0_43
| spl0_12
| spl0_22
| spl0_23
| spl0_13
| spl0_46
| spl0_41
| spl0_50 ),
inference(rat,[],[s9,s566,s716,s733,s74,s240]) ).
cnf(s735,plain,
( spl0_12
| spl0_22
| spl0_50
| spl0_23
| spl0_13
| spl0_46
| spl0_41 ),
inference(rat,[],[s585,s10,s50,s294,s616,s734]) ).
cnf(s736,plain,
( spl0_4
| spl0_2
| spl0_1 ),
inference(rat,[],[s735,s171,s646,s730,s732,s26,s725,s13,s20,s29,s41,s72,s377,s723,s436,s724,s107,s394]) ).
cnf(s737,plain,
( ~ spl0_4
| spl0_50 ),
inference(rat,[],[s10,s286,s344,s596,s45,s439]) ).
cnf(s738,plain,
( ~ spl0_18
| spl0_14
| ~ spl0_46
| ~ spl0_31 ),
inference(rat,[],[s234,s28,s58,s3,s2,s56,s69,s121,s87,s99,s401,s102,s235,s32,s39,s717]) ).
cnf(s739,plain,
( ~ spl0_27
| spl0_14
| ~ spl0_46
| ~ spl0_31 ),
inference(rat,[],[s395,s56,s5,s3,s16,s28,s17,s234,s401,s12,s235,s15,s415,s251,s4,s738,s22,s18,s44,s19]) ).
cnf(s740,plain,
( spl0_14
| ~ spl0_46
| ~ spl0_31 ),
inference(rat,[],[s28,s330,s3,s5,s46,s78,s69,s2,s58,s739,s415,s251,s4,s738,s401,s102,s19,s12,s235,s32,s22,s15,s18,s44,s39,s717]) ).
cnf(s741,plain,
( ~ spl0_46
| ~ spl0_31 ),
inference(rat,[],[s31,s2,s17,s69,s16,s87,s5,s80,s4,s172,s81,s95,s430,s74,s740,s39,s18,s717,s15,s22,s32,s44,s102,s19,s12]) ).
cnf(s742,plain,
( ~ spl0_48
| spl0_43
| spl0_1 ),
inference(rat,[],[s9,s566,s716,s436,s240,s741,s76,s736,s737,s724,s107]) ).
cnf(s743,plain,
( ~ spl0_39
| spl0_1 ),
inference(rat,[],[s56,s735,s121,s198,s436,s401,s12,s741,s76,s736,s737,s724,s107]) ).
cnf(s744,plain,
( ~ spl0_37
| spl0_1 ),
inference(rat,[],[s735,s46,s78,s436,s401,s12,s741,s76,s736,s737,s724,s107]) ).
cnf(s745,plain,
spl0_1,
inference(rat,[],[s50,s742,s585,s729,s69,s744,s99,s743,s741,s19,s102,s76,s736,s436,s737,s724,s107]) ).
cnf(s746,plain,
~ spl0_46,
inference(rat,[],[s449,s745]) ).
cnf(s748,plain,
~ spl0_41,
inference(rat,[],[s152,s745]) ).
cnf(s751,plain,
spl0_26,
inference(rat,[],[s110,s745]) ).
cnf(s752,plain,
~ spl0_45,
inference(rat,[],[s240,s746]) ).
cnf(s754,plain,
~ spl0_28,
inference(rat,[],[s226,s751]) ).
cnf(s758,plain,
~ spl0_21,
inference(rat,[],[s11,s751]) ).
cnf(s759,plain,
~ spl0_24,
inference(rat,[],[s80,s752]) ).
cnf(s760,plain,
~ spl0_11,
inference(rat,[],[s28,s754]) ).
cnf(s763,plain,
( spl0_48
| spl0_18
| spl0_8
| spl0_50
| spl0_14 ),
inference(rat,[],[s10,s93,s98,s5,s396,s56,s3,s26,s171,s250,s646,s142,s729,s51,s40,s732,s746,s758,s759,s760,s748]) ).
cnf(s764,plain,
( ~ spl0_48
| spl0_43 ),
inference(rat,[],[s9,s566,s716,s748,s752]) ).
cnf(s765,plain,
( ~ spl0_25
| spl0_50
| spl0_48 ),
inference(rat,[],[s10,s93,s98,s746]) ).
cnf(s766,plain,
( ~ spl0_39
| spl0_25
| spl0_43 ),
inference(rat,[],[s71,s27,s3,s26,s56,s5,s121,s198,s74,s51,s764,s760,s758,s759]) ).
cnf(s767,plain,
( spl0_50
| spl0_43 ),
inference(rat,[],[s5,s26,s78,s280,s10,s69,s96,s763,s99,s766,s765,s74,s764,s758,s759,s746]) ).
cnf(s768,plain,
spl0_43,
inference(rat,[],[s9,s130,s185,s767,s748,s752]) ).
cnf(s769,plain,
~ spl0_47,
inference(rat,[],[s616,s768]) ).
cnf(s770,plain,
~ spl0_49,
inference(rat,[],[s294,s768]) ).
cnf(s771,plain,
~ spl0_50,
inference(rat,[],[s144,s768]) ).
cnf(s774,plain,
spl0_14,
inference(rat,[],[s50,s768]) ).
cnf(s778,plain,
spl0_48,
inference(rat,[],[s10,s769,s746,s771,s770]) ).
cnf(s783,plain,
$false,
inference(rat,[],[s585,s778,s774]) ).
fof(f3086,plain,
$false,
inference(avatar_sat_refutation,[],[s783]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG086+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n007.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 19:23:41 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.31 % (2730190)Will run a generic schedule for satisfiability detection.
% 0.18/0.31 % (2730196)% WARNING: option uhcvi not known.
% 0.18/0.31 % (2730196)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2891687385:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.31 % (2730195)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=520816377_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.31 % (2730197)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3210535921:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.31 % (2730199)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1842058304:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.31 % (2730200)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1828591005:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.31 % (2730198)dis+10_1_sil=32000:sp=arity:random_seed=2934733121:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.31 % (2730201)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3978500845:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.31 % Detected minimum model sizes of [10]
% 0.18/0.31 % Detected maximum model sizes of [max]
% 0.18/0.31 % TRYING [10]
% 0.18/0.31 % (2730199) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2730190-2730199"...
% 0.18/0.31 % (2730198)Instruction limit reached!
% 0.18/0.31 % (2730198)------------------------------
% 0.18/0.31 % (2730198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.31 % (2730198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.31 % (2730198)CaDiCaL version: 2.1.3
% 0.18/0.31 % (2730198)Termination reason: Instruction limit
% 0.18/0.31 % (2730198)Termination phase: Saturation
% 0.18/0.31 % (2730198)Time elapsed: 0.053 s
% 0.18/0.31 % (2730198)Peak memory usage: 12 MB
% 0.18/0.31 % (2730198)Instructions burned: 104 (million)
% 0.18/0.31 % (2730199)...printing done.
% 0.18/0.31 % (2730199)Refutation found. Thanks to Tanya!
% 0.18/0.31 % SZS status Theorem for theBenchmark
% 0.18/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.31 % (2730199)------------------------------
% 0.18/0.31 % (2730199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.31 % (2730199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.31 % (2730199)CaDiCaL version: 2.1.3
% 0.18/0.31 % (2730199)Termination reason: Refutation
% 0.18/0.31 % (2730199)Time elapsed: 0.054 s
% 0.18/0.31 % (2730199)Peak memory usage: 13 MB
% 0.18/0.31 % (2730199)Instructions burned: 104 (million)
% 0.18/0.31 % (2730190)Success in time 0.089 s
% 0.18/0.31 % Vampire exiting
%------------------------------------------------------------------------------