%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG081+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 : n006.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 09:21:23 AM UTC 2026
% Result : Theorem 0.19s 0.32s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 55
% Syntax : Number of formulae : 1045 ( 84 unt; 50 def)
% Number of atoms : 3247 (1090 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 3929 (1727 ~;1810 |; 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) = e12
& op1(e11,e12) = e13
& op1(e11,e13) = e14
& op1(e11,e14) = e10
& op1(e12,e10) = e12
& op1(e12,e11) = e14
& op1(e12,e12) = e11
& op1(e12,e13) = e10
& op1(e12,e14) = e13
& op1(e13,e10) = e13
& op1(e13,e11) = e10
& op1(e13,e12) = e14
& op1(e13,e13) = e11
& op1(e13,e14) = e12
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e10
& op1(e14,e13) = e12
& op1(e14,e14) = e11 ),
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) = e22
& op2(e21,e22) = e24
& op2(e21,e23) = e20
& op2(e21,e24) = e23
& op2(e22,e20) = e22
& op2(e22,e21) = e20
& op2(e22,e22) = e23
& op2(e22,e23) = e24
& op2(e22,e24) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e24
& op2(e23,e22) = e20
& op2(e23,e23) = e21
& op2(e23,e24) = e22
& 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(f25,plain,
e21 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f28,plain,
e20 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
e20 != e21,
inference(cnf_transformation,[],[f2]) ).
fof(f55,plain,
e11 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f58,plain,
e13 = op1(e14,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f60,plain,
e12 = op1(e13,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f61,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f63,plain,
e10 = op1(e13,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f64,plain,
e13 = op1(e13,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f66,plain,
e10 = op1(e12,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f67,plain,
e11 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f69,plain,
e12 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f70,plain,
e10 = op1(e11,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f72,plain,
e13 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f73,plain,
e12 = 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(f105,plain,
( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
fof(f106,plain,
( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f107,plain,
( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f108,plain,
( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f109,plain,
( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) ),
inference(cnf_transformation,[],[f9]) ).
fof(f110,plain,
( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) ),
inference(cnf_transformation,[],[f9]) ).
fof(f111,plain,
( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f112,plain,
( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
fof(f113,plain,
( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
fof(f114,plain,
( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f115,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f116,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f117,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f118,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f119,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f120,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f121,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f122,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f123,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f124,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f125,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f126,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f127,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f128,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f129,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f176,definition,
( spl0_1
<=> e20 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f177,plain,
( e20 != h(e10)
| spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( e20 = h(e10)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl0_2
<=> e21 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(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(f185,plain,
( e22 != h(e10)
| spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f186,plain,
( e22 = h(e10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl0_4
<=> e23 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f189,plain,
( e23 != h(e10)
| spl0_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f190,plain,
( e23 = h(e10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl0_5
<=> e24 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f194,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f105,f192,f188,f184,f180,f176]) ).
fof(f197,definition,
( spl0_6
<=> e20 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f198,plain,
( e20 != h(e11)
| spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f199,plain,
( e20 = h(e11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl0_7
<=> e21 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f202,plain,
( e21 != h(e11)
| spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f203,plain,
( e21 = h(e11)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl0_8
<=> e22 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f206,plain,
( e22 != h(e11)
| spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f207,plain,
( e22 = h(e11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_9
<=> e23 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f211,plain,
( e23 = h(e11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_10
<=> e24 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f215,plain,
( e24 = h(e11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f106,f213,f209,f205,f201,f197]) ).
fof(f218,definition,
( spl0_11
<=> e20 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f219,plain,
( e20 != h(e12)
| spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( e20 = h(e12)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_12
<=> e21 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f223,plain,
( e21 != h(e12)
| spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f224,plain,
( e21 = h(e12)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl0_13
<=> e22 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f228,plain,
( e22 = h(e12)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl0_14
<=> e23 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f232,plain,
( e23 = h(e12)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl0_15
<=> e24 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f236,plain,
( e24 = h(e12)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f107,f234,f230,f226,f222,f218]) ).
fof(f239,definition,
( spl0_16
<=> e20 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f240,plain,
( e20 != h(e13)
| spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f241,plain,
( e20 = h(e13)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f243,definition,
( spl0_17
<=> e21 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f244,plain,
( e21 != h(e13)
| spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f245,plain,
( e21 = h(e13)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl0_18
<=> e22 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f248,plain,
( e22 != h(e13)
| spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f249,plain,
( e22 = h(e13)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl0_19
<=> e23 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f252,plain,
( e23 != h(e13)
| spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( e23 = h(e13)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_20
<=> e24 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f257,plain,
( e24 = h(e13)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f108,f255,f251,f247,f243,f239]) ).
fof(f260,definition,
( spl0_21
<=> e20 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f262,plain,
( e20 = h(e14)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl0_22
<=> e21 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f265,plain,
( e21 != h(e14)
| spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( e21 = h(e14)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_23
<=> e22 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f270,plain,
( e22 = h(e14)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_24
<=> e23 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f274,plain,
( e23 = h(e14)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl0_25
<=> e24 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f278,plain,
( e24 = h(e14)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f109,f276,f272,f268,f264,f260]) ).
fof(f281,definition,
( spl0_26
<=> e10 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f283,plain,
( e10 = j(e20)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl0_27
<=> e11 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f287,plain,
( e11 = j(e20)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f289,definition,
( spl0_28
<=> e12 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f291,plain,
( e12 = j(e20)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,definition,
( spl0_29
<=> e13 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f295,plain,
( e13 = j(e20)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl0_30
<=> e14 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f299,plain,
( e14 = j(e20)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f110,f297,f293,f289,f285,f281]) ).
fof(f302,definition,
( spl0_31
<=> e10 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f304,plain,
( e10 = j(e21)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl0_32
<=> e11 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f308,plain,
( e11 = j(e21)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl0_33
<=> e12 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f312,plain,
( e12 = j(e21)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl0_34
<=> e13 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f316,plain,
( e13 = j(e21)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl0_35
<=> e14 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f320,plain,
( e14 = j(e21)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f111,f318,f314,f310,f306,f302]) ).
fof(f323,definition,
( spl0_36
<=> e10 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f325,plain,
( e10 = j(e22)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl0_37
<=> e11 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f328,plain,
( e11 != j(e22)
| spl0_37 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f329,plain,
( e11 = j(e22)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl0_38
<=> e12 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f333,plain,
( e12 = j(e22)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl0_39
<=> e13 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f337,plain,
( e13 = j(e22)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl0_40
<=> e14 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f341,plain,
( e14 = j(e22)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f112,f339,f335,f331,f327,f323]) ).
fof(f344,definition,
( spl0_41
<=> e10 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f346,plain,
( e10 = j(e23)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f348,definition,
( spl0_42
<=> e11 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f350,plain,
( e11 = j(e23)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f352,definition,
( spl0_43
<=> e12 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f354,plain,
( e12 = j(e23)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f356,definition,
( spl0_44
<=> e13 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f357,plain,
( e13 != j(e23)
| spl0_44 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f358,plain,
( e13 = j(e23)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl0_45
<=> e14 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f362,plain,
( e14 = j(e23)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f113,f360,f356,f352,f348,f344]) ).
fof(f365,definition,
( spl0_46
<=> e10 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f367,plain,
( e10 = j(e24)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl0_47
<=> e11 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f371,plain,
( e11 = j(e24)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f373,definition,
( spl0_48
<=> e12 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f375,plain,
( e12 = j(e24)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f377,definition,
( spl0_49
<=> e13 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f378,plain,
( e13 != j(e24)
| spl0_49 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f379,plain,
( e13 = j(e24)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f381,definition,
( spl0_50
<=> e14 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f383,plain,
( e14 = j(e24)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f384,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f114,f381,f377,f373,f369,f365]) ).
fof(f385,plain,
( e14 = j(e20)
| ~ spl0_21 ),
inference(superposition,[],[f115,f262]) ).
fof(f386,plain,
( e10 = e14
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f385,f283]) ).
fof(f387,plain,
( $false
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f386,f16]) ).
fof(f388,plain,
( ~ spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f390,plain,
( e14 = j(e21)
| ~ spl0_22 ),
inference(superposition,[],[f115,f266]) ).
fof(f391,plain,
( e10 = e14
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_demodulation,[],[f390,f304]) ).
fof(f392,plain,
( $false
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f391,f16]) ).
fof(f393,plain,
( ~ spl0_22
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f396,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f397,plain,
( e10 = e14
| ~ spl0_23
| ~ spl0_36 ),
inference(forward_demodulation,[],[f396,f325]) ).
fof(f398,plain,
( $false
| ~ spl0_23
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f397,f16]) ).
fof(f399,plain,
( ~ spl0_23
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f403,plain,
( e14 = j(e23)
| ~ spl0_24 ),
inference(superposition,[],[f115,f274]) ).
fof(f404,plain,
( e10 = e14
| ~ spl0_24
| ~ spl0_41 ),
inference(forward_demodulation,[],[f403,f346]) ).
fof(f405,plain,
( $false
| ~ spl0_24
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f404,f16]) ).
fof(f406,plain,
( ~ spl0_24
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f411,plain,
( e14 = j(e24)
| ~ spl0_25 ),
inference(superposition,[],[f115,f278]) ).
fof(f412,plain,
( e10 = e14
| ~ spl0_25
| ~ spl0_46 ),
inference(forward_demodulation,[],[f411,f367]) ).
fof(f413,plain,
( $false
| ~ spl0_25
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f412,f16]) ).
fof(f414,plain,
( ~ spl0_25
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f415,plain,
( spl0_30
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f385,f260,f297]) ).
fof(f417,plain,
( e11 = e14
| ~ spl0_27
| ~ spl0_30 ),
inference(forward_demodulation,[],[f299,f287]) ).
fof(f418,plain,
( $false
| ~ spl0_27
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f417,f13]) ).
fof(f419,plain,
( ~ spl0_27
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f426,plain,
( e13 = j(e20)
| ~ spl0_16 ),
inference(superposition,[],[f116,f241]) ).
fof(f427,plain,
( spl0_29
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f426,f239,f293]) ).
fof(f429,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(superposition,[],[f116,f245]) ).
fof(f430,plain,
( e10 = e13
| ~ spl0_17
| ~ spl0_31 ),
inference(forward_demodulation,[],[f429,f304]) ).
fof(f431,plain,
( $false
| ~ spl0_17
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f430,f17]) ).
fof(f432,plain,
( ~ spl0_17
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f435,plain,
( e13 = j(e22)
| ~ spl0_18 ),
inference(superposition,[],[f116,f249]) ).
fof(f436,plain,
( e10 = e13
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_demodulation,[],[f435,f325]) ).
fof(f437,plain,
( $false
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f436,f17]) ).
fof(f438,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f442,plain,
( e13 = j(e23)
| ~ spl0_19 ),
inference(superposition,[],[f116,f253]) ).
fof(f443,plain,
( e10 = e13
| ~ spl0_19
| ~ spl0_41 ),
inference(forward_demodulation,[],[f442,f346]) ).
fof(f444,plain,
( $false
| ~ spl0_19
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f443,f17]) ).
fof(f445,plain,
( ~ spl0_19
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f450,plain,
( e13 = j(e24)
| ~ spl0_20 ),
inference(superposition,[],[f116,f257]) ).
fof(f451,plain,
( e10 = e13
| ~ spl0_20
| ~ spl0_46 ),
inference(forward_demodulation,[],[f450,f367]) ).
fof(f452,plain,
( $false
| ~ spl0_20
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f451,f17]) ).
fof(f453,plain,
( ~ spl0_20
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f467,plain,
( spl0_35
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f390,f264,f318]) ).
fof(f482,plain,
( e12 = j(e22)
| ~ spl0_13 ),
inference(superposition,[],[f117,f228]) ).
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(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(f553,plain,
( e24 = h(e10)
| ~ spl0_46 ),
inference(superposition,[],[f120,f367]) ).
fof(f555,plain,
( e22 = h(e11)
| ~ spl0_37 ),
inference(superposition,[],[f122,f329]) ).
fof(f556,plain,
( e21 = h(e14)
| ~ spl0_35 ),
inference(superposition,[],[f123,f320]) ).
fof(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(f580,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f119,f186]) ).
fof(f596,plain,
( e23 = h(e10)
| ~ spl0_41 ),
inference(superposition,[],[f121,f346]) ).
fof(f598,plain,
( op1(e12,e12) = j(op2(e24,e24))
| ~ spl0_48 ),
inference(superposition,[],[f125,f375]) ).
fof(f599,plain,
( e24 = h(e12)
| ~ spl0_48 ),
inference(superposition,[],[f120,f375]) ).
fof(f600,plain,
( op1(e12,e12) = j(e20)
| ~ spl0_48 ),
inference(forward_demodulation,[],[f598,f80]) ).
fof(f601,plain,
( e13 = op1(e12,e12)
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_demodulation,[],[f600,f295]) ).
fof(f602,plain,
( e11 = e13
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_demodulation,[],[f601,f67]) ).
fof(f603,plain,
( $false
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f602,f14]) ).
fof(f604,plain,
( ~ spl0_29
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f603]) ).
fof(f611,plain,
( e20 = h(e12)
| ~ spl0_28 ),
inference(superposition,[],[f124,f291]) ).
fof(f618,plain,
( spl0_38
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f482,f226,f331]) ).
fof(f620,plain,
( $false
| ~ spl0_8
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f541,f328]) ).
fof(f621,plain,
( ~ spl0_8
| spl0_37 ),
inference(avatar_contradiction_clause,[],[f620]) ).
fof(f623,plain,
( spl0_27
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f493,f197,f285]) ).
fof(f632,plain,
( e11 = e13
| ~ spl0_27
| ~ spl0_29 ),
inference(superposition,[],[f287,f295]) ).
fof(f633,plain,
( e20 = h(e11)
| ~ spl0_27 ),
inference(superposition,[],[f124,f287]) ).
fof(f637,plain,
( $false
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f632,f14]) ).
fof(f638,plain,
( ~ spl0_27
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f637]) ).
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(f658,plain,
( e10 = e11
| ~ spl0_9
| ~ spl0_41 ),
inference(forward_demodulation,[],[f530,f346]) ).
fof(f662,plain,
( $false
| ~ spl0_9
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f658,f19]) ).
fof(f663,plain,
( ~ spl0_9
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f673,plain,
( e22 = h(e12)
| ~ spl0_38 ),
inference(superposition,[],[f122,f333]) ).
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,
( e12 = e13
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_demodulation,[],[f679,f73]) ).
fof(f681,plain,
( $false
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f680,f12]) ).
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(f688,plain,
( e21 = e22
| ~ spl0_12
| ~ spl0_38 ),
inference(forward_demodulation,[],[f673,f224]) ).
fof(f689,plain,
( $false
| ~ spl0_12
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f688,f25]) ).
fof(f690,plain,
( ~ spl0_12
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f698,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
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(f708,plain,
( $false
| spl0_8
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f555,f206]) ).
fof(f709,plain,
( spl0_8
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f708]) ).
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(f718,plain,
( $false
| spl0_22
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f556,f265]) ).
fof(f719,plain,
( spl0_22
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f718]) ).
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(f753,plain,
( e13 = j(e24)
| ~ spl0_20 ),
inference(superposition,[],[f116,f257]) ).
fof(f759,plain,
( e21 = h(e10)
| ~ spl0_31 ),
inference(superposition,[],[f123,f304]) ).
fof(f761,plain,
( e22 = h(e11)
| ~ spl0_37 ),
inference(superposition,[],[f122,f329]) ).
fof(f764,plain,
( e23 = h(e12)
| ~ spl0_43 ),
inference(superposition,[],[f121,f354]) ).
fof(f766,plain,
( op1(e13,e13) = j(op2(e24,e24))
| ~ spl0_49 ),
inference(superposition,[],[f125,f379]) ).
fof(f767,plain,
( e24 = h(e13)
| ~ spl0_49 ),
inference(superposition,[],[f120,f379]) ).
fof(f768,plain,
( op1(e13,e13) = j(e20)
| ~ spl0_49 ),
inference(forward_demodulation,[],[f766,f80]) ).
fof(f769,plain,
( e14 = op1(e13,e13)
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f768,f299]) ).
fof(f770,plain,
( e11 = e14
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f769,f61]) ).
fof(f771,plain,
( $false
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f770,f13]) ).
fof(f772,plain,
( ~ spl0_30
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f771]) ).
fof(f777,plain,
( $false
| ~ spl0_20
| spl0_49 ),
inference(forward_subsumption_resolution,[],[f753,f378]) ).
fof(f778,plain,
( ~ spl0_20
| spl0_49 ),
inference(avatar_contradiction_clause,[],[f777]) ).
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(f797,plain,
( e20 = h(e13)
| ~ spl0_29 ),
inference(superposition,[],[f124,f295]) ).
fof(f807,plain,
( e20 = e24
| ~ spl0_16
| ~ spl0_49 ),
inference(forward_demodulation,[],[f767,f241]) ).
fof(f812,plain,
( e13 = e14
| ~ spl0_25
| ~ spl0_49 ),
inference(forward_demodulation,[],[f796,f379]) ).
fof(f813,plain,
( $false
| ~ spl0_16
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f807,f26]) ).
fof(f814,plain,
( ~ spl0_16
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f813]) ).
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(f820,plain,
( $false
| spl0_6
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f633,f198]) ).
fof(f821,plain,
( spl0_6
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f820]) ).
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(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(f853,plain,
( e11 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f118,f199]) ).
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(f880,plain,
( spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f506,f176,f281]) ).
fof(f882,plain,
( spl0_34
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f429,f243,f314]) ).
fof(f884,plain,
( $false
| spl0_7
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f646,f202]) ).
fof(f885,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f884]) ).
fof(f903,plain,
( e11 = e13
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_demodulation,[],[f316,f308]) ).
fof(f904,plain,
( spl0_13
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f673,f331,f226]) ).
fof(f909,plain,
( e20 = e21
| ~ spl0_6
| ~ spl0_32 ),
inference(forward_demodulation,[],[f646,f199]) ).
fof(f912,plain,
( $false
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f903,f14]) ).
fof(f913,plain,
( ~ spl0_32
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f912]) ).
fof(f916,plain,
( $false
| ~ spl0_6
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f909,f29]) ).
fof(f917,plain,
( ~ spl0_6
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f916]) ).
fof(f925,plain,
( e20 = e22
| ~ spl0_6
| ~ spl0_37 ),
inference(forward_demodulation,[],[f761,f199]) ).
fof(f935,plain,
( $false
| ~ spl0_6
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f925,f28]) ).
fof(f936,plain,
( ~ spl0_6
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f935]) ).
fof(f964,plain,
( spl0_33
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f698,f222,f310]) ).
fof(f979,plain,
( e20 = h(e10)
| ~ spl0_26 ),
inference(superposition,[],[f124,f283]) ).
fof(f982,plain,
( e21 = h(e12)
| ~ spl0_33 ),
inference(superposition,[],[f123,f312]) ).
fof(f983,plain,
( e12 = e13
| ~ spl0_33
| ~ spl0_34 ),
inference(superposition,[],[f316,f312]) ).
fof(f987,plain,
( e21 = h(e13)
| ~ spl0_34 ),
inference(superposition,[],[f123,f316]) ).
fof(f990,plain,
( $false
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f983,f12]) ).
fof(f991,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f990]) ).
fof(f992,plain,
( e11 = e13
| ~ spl0_19
| ~ spl0_42 ),
inference(forward_demodulation,[],[f442,f350]) ).
fof(f996,plain,
( $false
| ~ spl0_19
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f992,f14]) ).
fof(f997,plain,
( ~ spl0_19
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f996]) ).
fof(f1012,plain,
( e23 = h(e13)
| ~ spl0_44 ),
inference(superposition,[],[f121,f358]) ).
fof(f1040,plain,
( $false
| ~ spl0_19
| spl0_44 ),
inference(forward_subsumption_resolution,[],[f442,f357]) ).
fof(f1041,plain,
( ~ spl0_19
| spl0_44 ),
inference(avatar_contradiction_clause,[],[f1040]) ).
fof(f1077,plain,
( e10 = e11
| ~ spl0_6
| ~ spl0_26 ),
inference(forward_demodulation,[],[f853,f283]) ).
fof(f1080,plain,
( e20 = e23
| ~ spl0_1
| ~ spl0_41 ),
inference(forward_demodulation,[],[f596,f178]) ).
fof(f1091,plain,
( $false
| ~ spl0_6
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1077,f19]) ).
fof(f1092,plain,
( ~ spl0_6
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1091]) ).
fof(f1095,plain,
( $false
| ~ spl0_1
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1080,f27]) ).
fof(f1096,plain,
( ~ spl0_1
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1095]) ).
fof(f1099,plain,
( e11 = j(e20)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f864,f55]) ).
fof(f1118,plain,
( j(op2(e24,e22)) = op1(j(e24),e13)
| ~ spl0_39 ),
inference(superposition,[],[f127,f337]) ).
fof(f1119,plain,
( e22 = h(e13)
| ~ spl0_39 ),
inference(superposition,[],[f122,f337]) ).
fof(f1124,plain,
( e23 = h(e10)
| ~ spl0_41 ),
inference(superposition,[],[f121,f346]) ).
fof(f1129,plain,
( j(op2(e24,e20)) = op1(e14,j(e20))
| ~ spl0_50 ),
inference(superposition,[],[f129,f383]) ).
fof(f1132,plain,
( op1(e14,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1129,f287]) ).
fof(f1134,plain,
( op1(e14,e11) = j(e24)
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1132,f84]) ).
fof(f1136,plain,
( e14 = op1(e14,e11)
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1134,f383]) ).
fof(f1138,plain,
( e13 = e14
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1136,f58]) ).
fof(f1141,plain,
( $false
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1138,f10]) ).
fof(f1142,plain,
( ~ spl0_27
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1141]) ).
fof(f1143,plain,
( $false
| spl0_1
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f979,f177]) ).
fof(f1144,plain,
( spl0_1
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1143]) ).
fof(f1146,plain,
( e10 = e11
| ~ spl0_26
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1099,f283]) ).
fof(f1149,plain,
( $false
| ~ spl0_26
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1146,f19]) ).
fof(f1150,plain,
( ~ spl0_26
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1149]) ).
fof(f1153,plain,
( $false
| spl0_11
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f611,f219]) ).
fof(f1154,plain,
( spl0_11
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1153]) ).
fof(f1156,plain,
( spl0_27
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f1099,f381,f285]) ).
fof(f1165,plain,
( e21 = e24
| ~ spl0_12
| ~ spl0_48 ),
inference(forward_demodulation,[],[f599,f224]) ).
fof(f1169,plain,
( e12 = e14
| ~ spl0_25
| ~ spl0_48 ),
inference(forward_demodulation,[],[f796,f375]) ).
fof(f1171,plain,
( op1(e12,e13) = j(op2(e24,e22))
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1118,f375]) ).
fof(f1178,plain,
( $false
| ~ spl0_12
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1165,f23]) ).
fof(f1179,plain,
( ~ spl0_12
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1178]) ).
fof(f1182,plain,
( $false
| ~ spl0_25
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1169,f11]) ).
fof(f1183,plain,
( ~ spl0_25
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1182]) ).
fof(f1185,plain,
( op1(e12,e13) = j(e21)
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1171,f82]) ).
fof(f1187,plain,
( e12 = op1(e12,e13)
| ~ spl0_33
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1185,f312]) ).
fof(f1189,plain,
( e10 = e12
| ~ spl0_33
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1187,f66]) ).
fof(f1192,plain,
( $false
| ~ spl0_33
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1189,f18]) ).
fof(f1193,plain,
( ~ spl0_33
| ~ spl0_39
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1192]) ).
fof(f1194,plain,
( e13 = e14
| ~ spl0_23
| ~ spl0_39 ),
inference(forward_demodulation,[],[f396,f337]) ).
fof(f1196,plain,
( e22 = e24
| ~ spl0_18
| ~ spl0_49 ),
inference(forward_demodulation,[],[f767,f249]) ).
fof(f1201,plain,
( $false
| ~ spl0_23
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1194,f10]) ).
fof(f1202,plain,
( ~ spl0_23
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1201]) ).
fof(f1203,plain,
( $false
| ~ spl0_18
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1196,f21]) ).
fof(f1204,plain,
( ~ spl0_18
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1203]) ).
fof(f1235,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f1242,plain,
( op1(e13,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1235,f379]) ).
fof(f1245,plain,
( op1(e13,e11) = j(e23)
| ~ spl0_32
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1242,f83]) ).
fof(f1246,plain,
( e14 = op1(e13,e11)
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1245,f362]) ).
fof(f1247,plain,
( e10 = e14
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1246,f63]) ).
fof(f1248,plain,
( $false
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1247,f16]) ).
fof(f1249,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1248]) ).
fof(f1265,plain,
( j(op2(e24,e23)) = op1(j(e24),e11)
| ~ spl0_42 ),
inference(superposition,[],[f126,f350]) ).
fof(f1267,plain,
( op1(e13,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1265,f379]) ).
fof(f1268,plain,
( op1(e13,e11) = j(e22)
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1267,f81]) ).
fof(f1269,plain,
( e14 = op1(e13,e11)
| ~ spl0_40
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1268,f341]) ).
fof(f1270,plain,
( e10 = e14
| ~ spl0_40
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1269,f63]) ).
fof(f1271,plain,
( $false
| ~ spl0_40
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1270,f16]) ).
fof(f1272,plain,
( ~ spl0_40
| ~ spl0_42
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1271]) ).
fof(f1286,plain,
( j(op2(e24,e20)) = op1(j(e24),e11)
| ~ spl0_27 ),
inference(superposition,[],[f129,f287]) ).
fof(f1290,plain,
( op1(e13,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1286,f379]) ).
fof(f1291,plain,
( op1(e13,e11) = j(e24)
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1290,f84]) ).
fof(f1292,plain,
( e13 = op1(e13,e11)
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1291,f379]) ).
fof(f1293,plain,
( e10 = e13
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1292,f63]) ).
fof(f1294,plain,
( $false
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1293,f17]) ).
fof(f1295,plain,
( ~ spl0_27
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1294]) ).
fof(f1326,plain,
( e22 = h(e10)
| ~ spl0_36 ),
inference(superposition,[],[f122,f325]) ).
fof(f1327,plain,
( e20 = e22
| ~ spl0_1
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1326,f178]) ).
fof(f1329,plain,
( $false
| ~ spl0_1
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1327,f28]) ).
fof(f1330,plain,
( ~ spl0_1
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1329]) ).
fof(f1335,plain,
( $false
| spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f797,f240]) ).
fof(f1336,plain,
( spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1335]) ).
fof(f1349,plain,
( spl0_40
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f396,f268,f339]) ).
fof(f1395,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f1398,plain,
( op1(e13,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1395,f379]) ).
fof(f1399,plain,
( op1(e13,e11) = j(e23)
| ~ spl0_32
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1398,f83]) ).
fof(f1400,plain,
( e12 = op1(e13,e11)
| ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1399,f354]) ).
fof(f1401,plain,
( e10 = e12
| ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1400,f63]) ).
fof(f1402,plain,
( $false
| ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1401,f18]) ).
fof(f1403,plain,
( ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1402]) ).
fof(f1441,plain,
( j(op2(e24,e23)) = op1(j(e24),e11)
| ~ spl0_42 ),
inference(superposition,[],[f126,f350]) ).
fof(f1443,plain,
( op1(e13,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1441,f379]) ).
fof(f1444,plain,
( op1(e13,e11) = j(e22)
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1443,f81]) ).
fof(f1445,plain,
( e12 = op1(e13,e11)
| ~ spl0_38
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1444,f333]) ).
fof(f1446,plain,
( e10 = e12
| ~ spl0_38
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1445,f63]) ).
fof(f1447,plain,
( $false
| ~ spl0_38
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1446,f18]) ).
fof(f1448,plain,
( ~ spl0_38
| ~ spl0_42
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1447]) ).
fof(f1455,plain,
( $false
| spl0_18
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1119,f248]) ).
fof(f1456,plain,
( spl0_18
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1455]) ).
fof(f1513,plain,
( j(op2(e24,e22)) = op1(j(e24),e10)
| ~ spl0_36 ),
inference(superposition,[],[f127,f325]) ).
fof(f1515,plain,
( op1(e13,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1513,f379]) ).
fof(f1516,plain,
( op1(e13,e10) = j(e21)
| ~ spl0_36
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1515,f82]) ).
fof(f1517,plain,
( e14 = op1(e13,e10)
| ~ spl0_35
| ~ spl0_36
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1516,f320]) ).
fof(f1518,plain,
( e13 = e14
| ~ spl0_35
| ~ spl0_36
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1517,f64]) ).
fof(f1519,plain,
( $false
| ~ spl0_35
| ~ spl0_36
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1518,f10]) ).
fof(f1520,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1519]) ).
fof(f1521,plain,
( $false
| spl0_2
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f759,f181]) ).
fof(f1522,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f1521]) ).
fof(f1531,plain,
( $false
| spl0_17
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f987,f244]) ).
fof(f1532,plain,
( spl0_17
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1531]) ).
fof(f1552,plain,
( e21 = e24
| ~ spl0_17
| ~ spl0_49 ),
inference(forward_demodulation,[],[f767,f245]) ).
fof(f1553,plain,
( $false
| ~ spl0_17
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1552,f23]) ).
fof(f1554,plain,
( ~ spl0_17
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1553]) ).
fof(f1555,plain,
( spl0_44
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f442,f251,f356]) ).
fof(f1556,plain,
( $false
| spl0_12
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f982,f223]) ).
fof(f1557,plain,
( spl0_12
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f1556]) ).
fof(f1562,plain,
( e23 = e24
| ~ spl0_19
| ~ spl0_49 ),
inference(forward_demodulation,[],[f767,f253]) ).
fof(f1563,plain,
( $false
| ~ spl0_19
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1562,f20]) ).
fof(f1564,plain,
( ~ spl0_19
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1563]) ).
fof(f1566,plain,
( $false
| spl0_19
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1012,f252]) ).
fof(f1567,plain,
( spl0_19
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1566]) ).
fof(f1568,plain,
( e20 = e21
| ~ spl0_11
| ~ spl0_33 ),
inference(forward_demodulation,[],[f982,f220]) ).
fof(f1571,plain,
( $false
| ~ spl0_11
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f1568,f29]) ).
fof(f1572,plain,
( ~ spl0_11
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f1571]) ).
fof(f1577,plain,
( e20 = e22
| ~ spl0_11
| ~ spl0_38 ),
inference(forward_demodulation,[],[f673,f220]) ).
fof(f1588,plain,
( $false
| ~ spl0_11
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1577,f28]) ).
fof(f1589,plain,
( ~ spl0_11
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f1588]) ).
fof(f1604,plain,
( e20 = e21
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f182,f178]) ).
fof(f1609,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1604,f29]) ).
fof(f1610,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f1609]) ).
fof(f1644,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f1646,plain,
( op1(e13,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1644,f379]) ).
fof(f1647,plain,
( op1(e13,e10) = j(e23)
| ~ spl0_31
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1646,f83]) ).
fof(f1648,plain,
( e14 = op1(e13,e10)
| ~ spl0_31
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1647,f362]) ).
fof(f1649,plain,
( e13 = e14
| ~ spl0_31
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1648,f64]) ).
fof(f1650,plain,
( $false
| ~ spl0_31
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1649,f10]) ).
fof(f1651,plain,
( ~ spl0_31
| ~ spl0_45
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1650]) ).
fof(f1655,plain,
( e20 = e23
| ~ spl0_11
| ~ spl0_43 ),
inference(forward_demodulation,[],[f764,f220]) ).
fof(f1667,plain,
( $false
| ~ spl0_11
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1655,f27]) ).
fof(f1668,plain,
( ~ spl0_11
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f1667]) ).
fof(f1671,plain,
( e21 = e23
| ~ spl0_2
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1124,f182]) ).
fof(f1678,plain,
( $false
| ~ spl0_2
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1671,f24]) ).
fof(f1679,plain,
( ~ spl0_2
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1678]) ).
fof(f1703,plain,
( e21 = e24
| ~ spl0_7
| ~ spl0_47 ),
inference(forward_demodulation,[],[f677,f203]) ).
fof(f1704,plain,
( $false
| ~ spl0_7
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1703,f23]) ).
fof(f1705,plain,
( ~ spl0_7
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1704]) ).
fof(f1718,plain,
( j(op2(e24,e22)) = op1(j(e24),e14)
| ~ spl0_40 ),
inference(superposition,[],[f127,f341]) ).
fof(f1720,plain,
( op1(e13,e14) = j(op2(e24,e22))
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1718,f379]) ).
fof(f1721,plain,
( op1(e13,e14) = j(e21)
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1720,f82]) ).
fof(f1723,plain,
( j(op2(e24,e23)) = op1(j(e24),e10)
| ~ spl0_41 ),
inference(superposition,[],[f126,f346]) ).
fof(f1725,plain,
( op1(e13,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1723,f379]) ).
fof(f1726,plain,
( op1(e13,e10) = j(e22)
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1725,f81]) ).
fof(f1727,plain,
( e14 = op1(e13,e10)
| ~ spl0_40
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1726,f341]) ).
fof(f1728,plain,
( e13 = e14
| ~ spl0_40
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1727,f64]) ).
fof(f1729,plain,
( $false
| ~ spl0_40
| ~ spl0_41
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1728,f10]) ).
fof(f1730,plain,
( ~ spl0_40
| ~ spl0_41
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1729]) ).
fof(f1754,plain,
( e14 = op1(e13,e14)
| ~ spl0_35
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1721,f320]) ).
fof(f1757,plain,
( e12 = e14
| ~ spl0_35
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1754,f60]) ).
fof(f1758,plain,
( $false
| ~ spl0_35
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1757,f11]) ).
fof(f1759,plain,
( ~ spl0_35
| ~ spl0_40
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1758]) ).
fof(f1794,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f1796,plain,
( op1(e13,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1794,f379]) ).
fof(f1797,plain,
( op1(e13,e11) = j(e21)
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1796,f82]) ).
fof(f1798,plain,
( e14 = op1(e13,e11)
| ~ spl0_35
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1797,f320]) ).
fof(f1799,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1798,f63]) ).
fof(f1800,plain,
( $false
| ~ spl0_35
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1799,f16]) ).
fof(f1801,plain,
( ~ spl0_35
| ~ spl0_37
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1800]) ).
fof(f1839,plain,
( j(op2(e24,e23)) = op1(j(e24),e14)
| ~ spl0_45 ),
inference(superposition,[],[f126,f362]) ).
fof(f1840,plain,
( e23 = h(e14)
| ~ spl0_45 ),
inference(superposition,[],[f121,f362]) ).
fof(f1857,plain,
( e21 = e23
| ~ spl0_22
| ~ spl0_45 ),
inference(forward_demodulation,[],[f1840,f266]) ).
fof(f1860,plain,
( $false
| ~ spl0_22
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1857,f24]) ).
fof(f1861,plain,
( ~ spl0_22
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f1860]) ).
fof(f1886,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f1892,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f1894,plain,
( op1(e13,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1892,f379]) ).
fof(f1895,plain,
( op1(e13,e11) = j(e21)
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1894,f82]) ).
fof(f1896,plain,
( e12 = op1(e13,e11)
| ~ spl0_33
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1895,f312]) ).
fof(f1897,plain,
( e10 = e12
| ~ spl0_33
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1896,f63]) ).
fof(f1898,plain,
( $false
| ~ spl0_33
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1897,f18]) ).
fof(f1899,plain,
( ~ spl0_33
| ~ spl0_37
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1898]) ).
fof(f1904,plain,
( op1(e11,e14) = j(op2(e24,e23))
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1839,f371]) ).
fof(f1905,plain,
( op1(e11,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1886,f371]) ).
fof(f1909,plain,
( op1(e11,e14) = j(e22)
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1904,f81]) ).
fof(f1910,plain,
( op1(e11,e12) = j(e23)
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1905,f83]) ).
fof(f1912,plain,
( e13 = op1(e11,e14)
| ~ spl0_39
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1909,f337]) ).
fof(f1913,plain,
( e14 = op1(e11,e12)
| ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1910,f362]) ).
fof(f1914,plain,
( e10 = e13
| ~ spl0_39
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1912,f70]) ).
fof(f1915,plain,
( e13 = e14
| ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1913,f72]) ).
fof(f1916,plain,
( $false
| ~ spl0_39
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1914,f17]) ).
fof(f1917,plain,
( ~ spl0_39
| ~ spl0_45
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1916]) ).
fof(f1918,plain,
( $false
| ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1915,f10]) ).
fof(f1919,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1918]) ).
fof(f1957,plain,
( j(op2(e24,e21)) = op1(j(e24),e13)
| ~ spl0_34 ),
inference(superposition,[],[f128,f316]) ).
fof(f1962,plain,
( j(op2(e24,e22)) = op1(j(e24),e10)
| ~ spl0_36 ),
inference(superposition,[],[f127,f325]) ).
fof(f1963,plain,
( e22 = h(e10)
| ~ spl0_36 ),
inference(superposition,[],[f122,f325]) ).
fof(f1964,plain,
( op1(e11,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1962,f371]) ).
fof(f1965,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1964,f82]) ).
fof(f1966,plain,
( e13 = op1(e11,e10)
| ~ spl0_34
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1965,f316]) ).
fof(f1967,plain,
( e11 = e13
| ~ spl0_34
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1966,f74]) ).
fof(f1968,plain,
( $false
| ~ spl0_34
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1967,f14]) ).
fof(f1969,plain,
( ~ spl0_34
| ~ spl0_36
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1968]) ).
fof(f1970,plain,
( spl0_46
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f525,f192,f365]) ).
fof(f1997,plain,
( op1(e12,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1957,f375]) ).
fof(f2005,plain,
( op1(e12,e13) = j(e23)
| ~ spl0_34
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1997,f83]) ).
fof(f2007,plain,
( e14 = op1(e12,e13)
| ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2005,f362]) ).
fof(f2008,plain,
( e10 = e14
| ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2007,f66]) ).
fof(f2009,plain,
( $false
| ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2008,f16]) ).
fof(f2010,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2009]) ).
fof(f2013,plain,
( e20 = e24
| ~ spl0_1
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f178]) ).
fof(f2024,plain,
( $false
| ~ spl0_1
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2013,f26]) ).
fof(f2025,plain,
( ~ spl0_1
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2024]) ).
fof(f2077,plain,
( e21 = e24
| ~ spl0_2
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f182]) ).
fof(f2078,plain,
( $false
| ~ spl0_2
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2077,f23]) ).
fof(f2079,plain,
( ~ spl0_2
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2078]) ).
fof(f2080,plain,
( e20 = e24
| ~ spl0_11
| ~ spl0_48 ),
inference(forward_demodulation,[],[f599,f220]) ).
fof(f2085,plain,
( $false
| ~ spl0_11
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2080,f26]) ).
fof(f2086,plain,
( ~ spl0_11
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2085]) ).
fof(f2104,plain,
( e21 = e22
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f203,f207]) ).
fof(f2111,plain,
( $false
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f2104,f25]) ).
fof(f2112,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f2111]) ).
fof(f2138,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f2140,plain,
( op1(e10,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2138,f367]) ).
fof(f2141,plain,
( op1(e10,e11) = j(e23)
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2140,f83]) ).
fof(f2142,plain,
( e14 = op1(e10,e11)
| ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2141,f362]) ).
fof(f2143,plain,
( e11 = e14
| ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2142,f78]) ).
fof(f2144,plain,
( $false
| ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2143,f13]) ).
fof(f2145,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2144]) ).
fof(f2176,plain,
( j(op2(e24,e22)) = op1(j(e24),e13)
| ~ spl0_39 ),
inference(superposition,[],[f127,f337]) ).
fof(f2178,plain,
( op1(e12,e13) = j(op2(e24,e22))
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2176,f375]) ).
fof(f2179,plain,
( op1(e12,e13) = j(e21)
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2178,f82]) ).
fof(f2180,plain,
( e11 = op1(e12,e13)
| ~ spl0_32
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2179,f308]) ).
fof(f2181,plain,
( e10 = e11
| ~ spl0_32
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2180,f66]) ).
fof(f2182,plain,
( $false
| ~ spl0_32
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2181,f19]) ).
fof(f2183,plain,
( ~ spl0_32
| ~ spl0_39
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2182]) ).
fof(f2190,plain,
( $false
| spl0_3
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1963,f185]) ).
fof(f2191,plain,
( spl0_3
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f2190]) ).
fof(f2226,plain,
( e22 = e24
| ~ spl0_3
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f186]) ).
fof(f2228,plain,
( $false
| ~ spl0_3
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2226,f21]) ).
fof(f2229,plain,
( ~ spl0_3
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2228]) ).
fof(f2256,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f2258,plain,
( op1(e10,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2256,f367]) ).
fof(f2259,plain,
( op1(e10,e12) = j(e23)
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2258,f83]) ).
fof(f2260,plain,
( e14 = op1(e10,e12)
| ~ spl0_33
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2259,f362]) ).
fof(f2261,plain,
( e12 = e14
| ~ spl0_33
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2260,f77]) ).
fof(f2262,plain,
( $false
| ~ spl0_33
| ~ spl0_45
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2261,f11]) ).
fof(f2263,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2262]) ).
fof(f2287,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f2289,plain,
( op1(e12,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2287,f375]) ).
fof(f2290,plain,
( op1(e12,e10) = j(e23)
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2289,f83]) ).
fof(f2291,plain,
( e14 = op1(e12,e10)
| ~ spl0_31
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2290,f362]) ).
fof(f2292,plain,
( e12 = e14
| ~ spl0_31
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2291,f69]) ).
fof(f2293,plain,
( $false
| ~ spl0_31
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2292,f11]) ).
fof(f2294,plain,
( ~ spl0_31
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2293]) ).
fof(f2341,plain,
( e22 = e24
| ~ spl0_13
| ~ spl0_48 ),
inference(forward_demodulation,[],[f599,f228]) ).
fof(f2343,plain,
( $false
| ~ spl0_13
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2341,f21]) ).
fof(f2344,plain,
( ~ spl0_13
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2343]) ).
fof(f2347,plain,
( e20 = e24
| ~ spl0_6
| ~ spl0_47 ),
inference(forward_demodulation,[],[f677,f199]) ).
fof(f2351,plain,
( op1(e11,e14) = j(op2(e24,e23))
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1839,f371]) ).
fof(f2363,plain,
( $false
| ~ spl0_6
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2347,f26]) ).
fof(f2364,plain,
( ~ spl0_6
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2363]) ).
fof(f2365,plain,
( op1(e11,e14) = j(e22)
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2351,f81]) ).
fof(f2366,plain,
( e12 = op1(e11,e14)
| ~ spl0_38
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2365,f333]) ).
fof(f2367,plain,
( e10 = e12
| ~ spl0_38
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2366,f70]) ).
fof(f2368,plain,
( $false
| ~ spl0_38
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2367,f18]) ).
fof(f2369,plain,
( ~ spl0_38
| ~ spl0_45
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2368]) ).
fof(f2402,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f2404,plain,
( op1(e11,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2402,f371]) ).
fof(f2405,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2404,f83]) ).
fof(f2406,plain,
( e13 = op1(e11,e10)
| ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2405,f358]) ).
fof(f2407,plain,
( e11 = e13
| ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2406,f74]) ).
fof(f2408,plain,
( $false
| ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2407,f14]) ).
fof(f2409,plain,
( ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2408]) ).
fof(f2446,plain,
( j(op2(e24,e21)) = op1(j(e24),e14)
| ~ spl0_35 ),
inference(superposition,[],[f128,f320]) ).
fof(f2448,plain,
( op1(e11,e14) = j(op2(e24,e21))
| ~ spl0_35
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2446,f371]) ).
fof(f2449,plain,
( op1(e11,e14) = j(e23)
| ~ spl0_35
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2448,f83]) ).
fof(f2450,plain,
( e12 = op1(e11,e14)
| ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2449,f354]) ).
fof(f2451,plain,
( e10 = e12
| ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2450,f70]) ).
fof(f2452,plain,
( $false
| ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2451,f18]) ).
fof(f2453,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2452]) ).
fof(f2481,plain,
( e22 = h(e13)
| ~ spl0_39 ),
inference(superposition,[],[f122,f337]) ).
fof(f2486,plain,
( j(op2(e24,e23)) = op1(j(e24),e10)
| ~ spl0_41 ),
inference(superposition,[],[f126,f346]) ).
fof(f2487,plain,
( e23 = h(e10)
| ~ spl0_41 ),
inference(superposition,[],[f121,f346]) ).
fof(f2488,plain,
( op1(e11,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2486,f371]) ).
fof(f2489,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2488,f81]) ).
fof(f2490,plain,
( e13 = op1(e11,e10)
| ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2489,f337]) ).
fof(f2491,plain,
( e11 = e13
| ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2490,f74]) ).
fof(f2492,plain,
( $false
| ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2491,f14]) ).
fof(f2493,plain,
( ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2492]) ).
fof(f2507,plain,
( e11 = op1(e11,e14)
| ~ spl0_35
| ~ spl0_42
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2449,f350]) ).
fof(f2523,plain,
( e10 = e11
| ~ spl0_35
| ~ spl0_42
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2507,f70]) ).
fof(f2524,plain,
( $false
| ~ spl0_35
| ~ spl0_42
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2523,f19]) ).
fof(f2525,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2524]) ).
fof(f2531,plain,
( e13 = op1(e11,e14)
| ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2449,f358]) ).
fof(f2541,plain,
( e10 = e13
| ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2531,f70]) ).
fof(f2542,plain,
( $false
| ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2541,f17]) ).
fof(f2543,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2542]) ).
fof(f2565,plain,
( j(op2(e24,e20)) = op1(j(e24),e14)
| ~ spl0_30 ),
inference(superposition,[],[f129,f299]) ).
fof(f2569,plain,
( op1(e11,e14) = j(op2(e24,e20))
| ~ spl0_30
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2565,f371]) ).
fof(f2570,plain,
( op1(e11,e14) = j(e24)
| ~ spl0_30
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2569,f84]) ).
fof(f2571,plain,
( e11 = op1(e11,e14)
| ~ spl0_30
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2570,f371]) ).
fof(f2572,plain,
( e10 = e11
| ~ spl0_30
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2571,f70]) ).
fof(f2573,plain,
( $false
| ~ spl0_30
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2572,f19]) ).
fof(f2574,plain,
( ~ spl0_30
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2573]) ).
fof(f2604,plain,
( j(op2(e24,e22)) = op1(j(e24),e14)
| ~ spl0_40 ),
inference(superposition,[],[f127,f341]) ).
fof(f2606,plain,
( op1(e11,e14) = j(op2(e24,e22))
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2604,f371]) ).
fof(f2607,plain,
( op1(e11,e14) = j(e21)
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2606,f82]) ).
fof(f2608,plain,
( e12 = op1(e11,e14)
| ~ spl0_33
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2607,f312]) ).
fof(f2609,plain,
( e10 = e12
| ~ spl0_33
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2608,f70]) ).
fof(f2610,plain,
( $false
| ~ spl0_33
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2609,f18]) ).
fof(f2611,plain,
( ~ spl0_33
| ~ spl0_40
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2610]) ).
fof(f2614,plain,
( e13 = e14
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_demodulation,[],[f320,f316]) ).
fof(f2619,plain,
( e13 = op1(e11,e14)
| ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2607,f316]) ).
fof(f2629,plain,
( $false
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f2614,f10]) ).
fof(f2630,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f2629]) ).
fof(f2631,plain,
( e10 = e13
| ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2619,f70]) ).
fof(f2632,plain,
( $false
| ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2631,f17]) ).
fof(f2633,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2632]) ).
fof(f2687,plain,
( j(op2(e24,e22)) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f127,f333]) ).
fof(f2689,plain,
( op1(e10,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2687,f367]) ).
fof(f2690,plain,
( op1(e10,e12) = j(e21)
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2689,f82]) ).
fof(f2691,plain,
( e14 = op1(e10,e12)
| ~ spl0_35
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2690,f320]) ).
fof(f2692,plain,
( e12 = e14
| ~ spl0_35
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2691,f77]) ).
fof(f2693,plain,
( $false
| ~ spl0_35
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2692,f11]) ).
fof(f2694,plain,
( ~ spl0_35
| ~ spl0_38
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2693]) ).
fof(f2719,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f2721,plain,
( op1(e10,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2719,f367]) ).
fof(f2722,plain,
( op1(e10,e11) = j(e23)
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2721,f83]) ).
fof(f2723,plain,
( e13 = op1(e10,e11)
| ~ spl0_32
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2722,f358]) ).
fof(f2724,plain,
( e11 = e13
| ~ spl0_32
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2723,f78]) ).
fof(f2725,plain,
( $false
| ~ spl0_32
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2724,f14]) ).
fof(f2726,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2725]) ).
fof(f2741,plain,
( $false
| spl0_4
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2487,f189]) ).
fof(f2742,plain,
( spl0_4
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f2741]) ).
fof(f2768,plain,
( e13 = op1(e10,e12)
| ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2690,f316]) ).
fof(f2773,plain,
( e12 = e13
| ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2768,f77]) ).
fof(f2774,plain,
( $false
| ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2773,f12]) ).
fof(f2775,plain,
( ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2774]) ).
fof(f2810,plain,
( j(op2(e24,e21)) = op1(j(e24),e13)
| ~ spl0_34 ),
inference(superposition,[],[f128,f316]) ).
fof(f2816,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f2818,plain,
( op1(e10,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2816,f367]) ).
fof(f2819,plain,
( op1(e10,e11) = j(e21)
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2818,f82]) ).
fof(f2820,plain,
( e13 = op1(e10,e11)
| ~ spl0_34
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2819,f316]) ).
fof(f2821,plain,
( e11 = e13
| ~ spl0_34
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2820,f78]) ).
fof(f2822,plain,
( $false
| ~ spl0_34
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2821,f14]) ).
fof(f2823,plain,
( ~ spl0_34
| ~ spl0_37
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2822]) ).
fof(f2848,plain,
( e12 = j(e24)
| ~ spl0_15 ),
inference(superposition,[],[f117,f236]) ).
fof(f2856,plain,
( op1(e12,e12) = j(op2(e24,e24))
| ~ spl0_48 ),
inference(superposition,[],[f125,f375]) ).
fof(f2866,plain,
( op1(e12,e12) = j(e20)
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2856,f80]) ).
fof(f2871,plain,
( e14 = op1(e12,e12)
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2866,f299]) ).
fof(f2876,plain,
( e11 = e14
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2871,f67]) ).
fof(f2877,plain,
( $false
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2876,f13]) ).
fof(f2878,plain,
( ~ spl0_30
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2877]) ).
fof(f2884,plain,
( e21 = e22
| ~ spl0_17
| ~ spl0_39 ),
inference(forward_demodulation,[],[f2481,f245]) ).
fof(f2909,plain,
( $false
| ~ spl0_17
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f2884,f25]) ).
fof(f2910,plain,
( ~ spl0_17
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f2909]) ).
fof(f2942,plain,
( e12 = j(e20)
| ~ spl0_11 ),
inference(superposition,[],[f117,f220]) ).
fof(f2964,plain,
( j(op2(e24,e23)) = op1(j(e24),e11)
| ~ spl0_42 ),
inference(superposition,[],[f126,f350]) ).
fof(f2966,plain,
( op1(e10,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2964,f367]) ).
fof(f2967,plain,
( op1(e10,e11) = j(e22)
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2966,f81]) ).
fof(f2968,plain,
( e14 = op1(e10,e11)
| ~ spl0_40
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2967,f341]) ).
fof(f2969,plain,
( e11 = e14
| ~ spl0_40
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2968,f78]) ).
fof(f2970,plain,
( $false
| ~ spl0_40
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2969,f13]) ).
fof(f2971,plain,
( ~ spl0_40
| ~ spl0_42
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2970]) ).
fof(f2996,plain,
( j(op2(e24,e23)) = op1(j(e24),e12)
| ~ spl0_43 ),
inference(superposition,[],[f126,f354]) ).
fof(f2998,plain,
( op1(e10,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2996,f367]) ).
fof(f2999,plain,
( op1(e10,e12) = j(e22)
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2998,f81]) ).
fof(f3000,plain,
( e14 = op1(e10,e12)
| ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2999,f341]) ).
fof(f3001,plain,
( e12 = e14
| ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3000,f77]) ).
fof(f3002,plain,
( $false
| ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f3001,f11]) ).
fof(f3003,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f3002]) ).
fof(f3012,plain,
( e11 = e12
| ~ spl0_11
| ~ spl0_27 ),
inference(forward_demodulation,[],[f2942,f287]) ).
fof(f3038,plain,
( $false
| ~ spl0_11
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f3012,f15]) ).
fof(f3039,plain,
( ~ spl0_11
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f3038]) ).
fof(f3045,plain,
( e10 = e12
| ~ spl0_15
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2848,f367]) ).
fof(f3057,plain,
( $false
| ~ spl0_15
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f3045,f18]) ).
fof(f3058,plain,
( ~ spl0_15
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f3057]) ).
fof(f3062,plain,
( j(e23) = op1(j(e24),e13)
| ~ spl0_34 ),
inference(forward_demodulation,[],[f2810,f83]) ).
fof(f3067,plain,
( op1(e12,e13) = j(e23)
| ~ spl0_34
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3062,f375]) ).
fof(f3077,plain,
( j(op2(e24,e23)) = op1(j(e24),e10)
| ~ spl0_41 ),
inference(superposition,[],[f126,f346]) ).
fof(f3079,plain,
( op1(e12,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3077,f375]) ).
fof(f3080,plain,
( op1(e12,e10) = j(e22)
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3079,f81]) ).
fof(f3081,plain,
( e14 = op1(e12,e10)
| ~ spl0_40
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3080,f341]) ).
fof(f3082,plain,
( e12 = e14
| ~ spl0_40
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3081,f69]) ).
fof(f3083,plain,
( $false
| ~ spl0_40
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3082,f11]) ).
fof(f3084,plain,
( ~ spl0_40
| ~ spl0_41
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3083]) ).
fof(f3090,plain,
( e11 = op1(e12,e13)
| ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3067,f350]) ).
fof(f3098,plain,
( e10 = e11
| ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3090,f66]) ).
fof(f3099,plain,
( $false
| ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3098,f19]) ).
fof(f3100,plain,
( ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3099]) ).
fof(f3131,plain,
( j(op2(e24,e23)) = op1(j(e24),e13)
| ~ spl0_44 ),
inference(superposition,[],[f126,f358]) ).
fof(f3133,plain,
( op1(e12,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3131,f375]) ).
fof(f3134,plain,
( op1(e12,e13) = j(e22)
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3133,f81]) ).
fof(f3135,plain,
( e14 = op1(e12,e13)
| ~ spl0_40
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3134,f341]) ).
fof(f3136,plain,
( e10 = e14
| ~ spl0_40
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3135,f66]) ).
fof(f3137,plain,
( $false
| ~ spl0_40
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3136,f16]) ).
fof(f3138,plain,
( ~ spl0_40
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3137]) ).
fof(f3143,plain,
( op1(e10,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3131,f367]) ).
fof(f3157,plain,
( op1(e10,e13) = j(e22)
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3143,f81]) ).
fof(f3158,plain,
( e14 = op1(e10,e13)
| ~ spl0_40
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3157,f341]) ).
fof(f3159,plain,
( e13 = e14
| ~ spl0_40
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3158,f76]) ).
fof(f3160,plain,
( $false
| ~ spl0_40
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f3159,f10]) ).
fof(f3161,plain,
( ~ spl0_40
| ~ spl0_44
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f3160]) ).
fof(f3204,plain,
( j(op2(e24,e22)) = op1(j(e24),e13)
| ~ spl0_39 ),
inference(superposition,[],[f127,f337]) ).
fof(f3206,plain,
( op1(e10,e13) = j(op2(e24,e22))
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3204,f367]) ).
fof(f3207,plain,
( op1(e10,e13) = j(e21)
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3206,f82]) ).
fof(f3210,plain,
( j(op2(e24,e23)) = op1(j(e24),e11)
| ~ spl0_42 ),
inference(superposition,[],[f126,f350]) ).
fof(f3212,plain,
( op1(e10,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3210,f367]) ).
fof(f3213,plain,
( op1(e10,e11) = j(e22)
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3212,f81]) ).
fof(f3214,plain,
( e13 = op1(e10,e11)
| ~ spl0_39
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3213,f337]) ).
fof(f3215,plain,
( e11 = e13
| ~ spl0_39
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3214,f78]) ).
fof(f3216,plain,
( $false
| ~ spl0_39
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f3215,f14]) ).
fof(f3217,plain,
( ~ spl0_39
| ~ spl0_42
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f3216]) ).
fof(f3235,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f3237,plain,
( op1(e10,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3235,f367]) ).
fof(f3238,plain,
( op1(e10,e11) = j(e23)
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3237,f83]) ).
fof(f3239,plain,
( e12 = op1(e10,e11)
| ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3238,f354]) ).
fof(f3240,plain,
( e11 = e12
| ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3239,f78]) ).
fof(f3241,plain,
( $false
| ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f3240,f15]) ).
fof(f3242,plain,
( ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f3241]) ).
fof(f3259,plain,
( e23 = e24
| ~ spl0_4
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f190]) ).
fof(f3262,plain,
( $false
| ~ spl0_4
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f3259,f20]) ).
fof(f3263,plain,
( ~ spl0_4
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f3262]) ).
fof(f3271,plain,
( e14 = op1(e10,e13)
| ~ spl0_35
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3207,f320]) ).
fof(f3280,plain,
( e13 = e14
| ~ spl0_35
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3271,f76]) ).
fof(f3281,plain,
( $false
| ~ spl0_35
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f3280,f10]) ).
fof(f3282,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f3281]) ).
fof(f3323,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f3325,plain,
( op1(e10,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3323,f367]) ).
fof(f3326,plain,
( op1(e10,e12) = j(e23)
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3325,f83]) ).
fof(f3327,plain,
( e13 = op1(e10,e12)
| ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3326,f358]) ).
fof(f3328,plain,
( e12 = e13
| ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3327,f77]) ).
fof(f3329,plain,
( $false
| ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f3328,f12]) ).
fof(f3330,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f3329]) ).
fof(f3381,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f3383,plain,
( op1(e10,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3381,f367]) ).
fof(f3384,plain,
( op1(e10,e11) = j(e21)
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3383,f82]) ).
fof(f3385,plain,
( e14 = op1(e10,e11)
| ~ spl0_35
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3384,f320]) ).
fof(f3386,plain,
( e11 = e14
| ~ spl0_35
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f3385,f78]) ).
fof(f3387,plain,
( $false
| ~ spl0_35
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f3386,f13]) ).
fof(f3388,plain,
( ~ spl0_35
| ~ spl0_37
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f3387]) ).
fof(f3417,plain,
( j(op2(e24,e23)) = op1(j(e24),e13)
| ~ spl0_44 ),
inference(superposition,[],[f126,f358]) ).
fof(f3419,plain,
( op1(e12,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3417,f375]) ).
fof(f3420,plain,
( op1(e12,e13) = j(e22)
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3419,f81]) ).
fof(f3421,plain,
( e11 = op1(e12,e13)
| ~ spl0_37
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3420,f329]) ).
fof(f3422,plain,
( e10 = e11
| ~ spl0_37
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3421,f66]) ).
fof(f3423,plain,
( $false
| ~ spl0_37
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3422,f19]) ).
fof(f3424,plain,
( ~ spl0_37
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3423]) ).
fof(f3449,plain,
( j(op2(e24,e22)) = op1(j(e24),e10)
| ~ spl0_36 ),
inference(superposition,[],[f127,f325]) ).
fof(f3451,plain,
( op1(e12,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3449,f375]) ).
fof(f3452,plain,
( op1(e12,e10) = j(e21)
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3451,f82]) ).
fof(f3453,plain,
( e14 = op1(e12,e10)
| ~ spl0_35
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3452,f320]) ).
fof(f3454,plain,
( e12 = e14
| ~ spl0_35
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3453,f69]) ).
fof(f3455,plain,
( $false
| ~ spl0_35
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3454,f11]) ).
fof(f3456,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3455]) ).
fof(f3474,plain,
( j(op2(e24,e22)) = op1(j(e24),e13)
| ~ spl0_39 ),
inference(superposition,[],[f127,f337]) ).
fof(f3476,plain,
( op1(e12,e13) = j(op2(e24,e22))
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3474,f375]) ).
fof(f3477,plain,
( op1(e12,e13) = j(e21)
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3476,f82]) ).
fof(f3478,plain,
( e14 = op1(e12,e13)
| ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3477,f320]) ).
fof(f3479,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3478,f66]) ).
fof(f3480,plain,
( $false
| ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3479,f16]) ).
fof(f3481,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3480]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f195]) ).
cnf(s2,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f216]) ).
cnf(s3,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f237]) ).
cnf(s4,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f258]) ).
cnf(s5,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f279]) ).
cnf(s6,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f300]) ).
cnf(s7,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f321]) ).
cnf(s8,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(sat_conversion,[],[f342]) ).
cnf(s9,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f363]) ).
cnf(s10,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(sat_conversion,[],[f384]) ).
cnf(s11,plain,
( ~ spl0_21
| ~ spl0_26 ),
inference(sat_conversion,[],[f388]) ).
cnf(s12,plain,
( ~ spl0_22
| ~ spl0_31 ),
inference(sat_conversion,[],[f393]) ).
cnf(s13,plain,
( ~ spl0_23
| ~ spl0_36 ),
inference(sat_conversion,[],[f399]) ).
cnf(s14,plain,
( ~ spl0_24
| ~ spl0_41 ),
inference(sat_conversion,[],[f406]) ).
cnf(s15,plain,
( ~ spl0_25
| ~ spl0_46 ),
inference(sat_conversion,[],[f414]) ).
cnf(s16,plain,
( ~ spl0_21
| spl0_30 ),
inference(sat_conversion,[],[f415]) ).
cnf(s17,plain,
( ~ spl0_27
| ~ spl0_30 ),
inference(sat_conversion,[],[f419]) ).
cnf(s18,plain,
( ~ spl0_16
| spl0_29 ),
inference(sat_conversion,[],[f427]) ).
cnf(s19,plain,
( ~ spl0_17
| ~ spl0_31 ),
inference(sat_conversion,[],[f432]) ).
cnf(s20,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(sat_conversion,[],[f438]) ).
cnf(s21,plain,
( ~ spl0_19
| ~ spl0_41 ),
inference(sat_conversion,[],[f445]) ).
cnf(s22,plain,
( ~ spl0_20
| ~ spl0_46 ),
inference(sat_conversion,[],[f453]) ).
cnf(s26,plain,
( ~ spl0_22
| spl0_35 ),
inference(sat_conversion,[],[f467]) ).
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(s44,plain,
( ~ spl0_29
| ~ spl0_46 ),
inference(sat_conversion,[],[f563]) ).
cnf(s45,plain,
( ~ spl0_4
| spl0_41 ),
inference(sat_conversion,[],[f564]) ).
cnf(s52,plain,
( ~ spl0_29
| ~ spl0_48 ),
inference(sat_conversion,[],[f604]) ).
cnf(s56,plain,
( ~ spl0_13
| spl0_38 ),
inference(sat_conversion,[],[f618]) ).
cnf(s57,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f621]) ).
cnf(s58,plain,
( ~ spl0_6
| spl0_27 ),
inference(sat_conversion,[],[f623]) ).
cnf(s60,plain,
( ~ spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f638]) ).
cnf(s64,plain,
( ~ spl0_10
| spl0_47 ),
inference(sat_conversion,[],[f654]) ).
cnf(s65,plain,
( ~ spl0_9
| ~ spl0_41 ),
inference(sat_conversion,[],[f663]) ).
cnf(s68,plain,
( ~ spl0_29
| ~ spl0_47 ),
inference(sat_conversion,[],[f682]) ).
cnf(s69,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f683]) ).
cnf(s70,plain,
( ~ spl0_12
| ~ spl0_38 ),
inference(sat_conversion,[],[f690]) ).
cnf(s72,plain,
( ~ spl0_3
| spl0_36 ),
inference(sat_conversion,[],[f701]) ).
cnf(s74,plain,
( ~ spl0_14
| spl0_43 ),
inference(sat_conversion,[],[f703]) ).
cnf(s75,plain,
( spl0_8
| ~ spl0_37 ),
inference(sat_conversion,[],[f709]) ).
cnf(s76,plain,
( ~ spl0_2
| spl0_31 ),
inference(sat_conversion,[],[f712]) ).
cnf(s77,plain,
( spl0_22
| ~ spl0_35 ),
inference(sat_conversion,[],[f719]) ).
cnf(s78,plain,
( ~ spl0_23
| ~ spl0_37 ),
inference(sat_conversion,[],[f723]) ).
cnf(s80,plain,
( ~ spl0_24
| spl0_45 ),
inference(sat_conversion,[],[f727]) ).
cnf(s84,plain,
( ~ spl0_30
| ~ spl0_49 ),
inference(sat_conversion,[],[f772]) ).
cnf(s86,plain,
( ~ spl0_20
| spl0_49 ),
inference(sat_conversion,[],[f778]) ).
cnf(s87,plain,
( ~ spl0_18
| ~ spl0_37 ),
inference(sat_conversion,[],[f782]) ).
cnf(s91,plain,
( ~ spl0_16
| ~ spl0_49 ),
inference(sat_conversion,[],[f814]) ).
cnf(s93,plain,
( ~ spl0_25
| ~ spl0_49 ),
inference(sat_conversion,[],[f818]) ).
cnf(s94,plain,
( spl0_6
| ~ spl0_27 ),
inference(sat_conversion,[],[f821]) ).
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(s102,plain,
( ~ spl0_1
| spl0_26 ),
inference(sat_conversion,[],[f880]) ).
cnf(s103,plain,
( ~ spl0_17
| spl0_34 ),
inference(sat_conversion,[],[f882]) ).
cnf(s104,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f885]) ).
cnf(s107,plain,
( spl0_13
| ~ spl0_38 ),
inference(sat_conversion,[],[f904]) ).
cnf(s109,plain,
( ~ spl0_32
| ~ spl0_34 ),
inference(sat_conversion,[],[f913]) ).
cnf(s110,plain,
( ~ spl0_6
| ~ spl0_32 ),
inference(sat_conversion,[],[f917]) ).
cnf(s118,plain,
( ~ spl0_6
| ~ spl0_37 ),
inference(sat_conversion,[],[f936]) ).
cnf(s124,plain,
( ~ spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f964]) ).
cnf(s126,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(sat_conversion,[],[f991]) ).
cnf(s127,plain,
( ~ spl0_19
| ~ spl0_42 ),
inference(sat_conversion,[],[f997]) ).
cnf(s130,plain,
( ~ spl0_19
| spl0_44 ),
inference(sat_conversion,[],[f1041]) ).
cnf(s141,plain,
( ~ spl0_6
| ~ spl0_26 ),
inference(sat_conversion,[],[f1092]) ).
cnf(s143,plain,
( ~ spl0_1
| ~ spl0_41 ),
inference(sat_conversion,[],[f1096]) ).
cnf(s148,plain,
( ~ spl0_27
| ~ spl0_50 ),
inference(sat_conversion,[],[f1142]) ).
cnf(s151,plain,
( spl0_1
| ~ spl0_26 ),
inference(sat_conversion,[],[f1144]) ).
cnf(s152,plain,
( ~ spl0_26
| ~ spl0_50 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s153,plain,
( spl0_11
| ~ spl0_28 ),
inference(sat_conversion,[],[f1154]) ).
cnf(s154,plain,
( spl0_27
| ~ spl0_50 ),
inference(sat_conversion,[],[f1156]) ).
cnf(s158,plain,
( ~ spl0_12
| ~ spl0_48 ),
inference(sat_conversion,[],[f1179]) ).
cnf(s160,plain,
( ~ spl0_25
| ~ spl0_48 ),
inference(sat_conversion,[],[f1183]) ).
cnf(s162,plain,
( ~ spl0_33
| ~ spl0_39
| ~ spl0_48 ),
inference(sat_conversion,[],[f1193]) ).
cnf(s163,plain,
( ~ spl0_23
| ~ spl0_39 ),
inference(sat_conversion,[],[f1202]) ).
cnf(s164,plain,
( ~ spl0_18
| ~ spl0_49 ),
inference(sat_conversion,[],[f1204]) ).
cnf(s168,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(sat_conversion,[],[f1249]) ).
cnf(s170,plain,
( ~ spl0_40
| ~ spl0_42
| ~ spl0_49 ),
inference(sat_conversion,[],[f1272]) ).
cnf(s178,plain,
( ~ spl0_27
| ~ spl0_49 ),
inference(sat_conversion,[],[f1295]) ).
cnf(s184,plain,
( ~ spl0_1
| ~ spl0_36 ),
inference(sat_conversion,[],[f1330]) ).
cnf(s188,plain,
( spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f1336]) ).
cnf(s196,plain,
( ~ spl0_23
| spl0_40 ),
inference(sat_conversion,[],[f1349]) ).
cnf(s205,plain,
( ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(sat_conversion,[],[f1403]) ).
cnf(s213,plain,
( ~ spl0_38
| ~ spl0_42
| ~ spl0_49 ),
inference(sat_conversion,[],[f1448]) ).
cnf(s219,plain,
( spl0_18
| ~ spl0_39 ),
inference(sat_conversion,[],[f1456]) ).
cnf(s228,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_49 ),
inference(sat_conversion,[],[f1520]) ).
cnf(s233,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f1522]) ).
cnf(s234,plain,
( spl0_17
| ~ spl0_34 ),
inference(sat_conversion,[],[f1532]) ).
cnf(s237,plain,
( ~ spl0_17
| ~ spl0_49 ),
inference(sat_conversion,[],[f1554]) ).
cnf(s238,plain,
( ~ spl0_19
| spl0_44 ),
inference(sat_conversion,[],[f1555]) ).
cnf(s240,plain,
( spl0_12
| ~ spl0_33 ),
inference(sat_conversion,[],[f1557]) ).
cnf(s241,plain,
( ~ spl0_19
| ~ spl0_49 ),
inference(sat_conversion,[],[f1564]) ).
cnf(s242,plain,
( spl0_19
| ~ spl0_44 ),
inference(sat_conversion,[],[f1567]) ).
cnf(s244,plain,
( ~ spl0_11
| ~ spl0_33 ),
inference(sat_conversion,[],[f1572]) ).
cnf(s251,plain,
( ~ spl0_11
| ~ spl0_38 ),
inference(sat_conversion,[],[f1589]) ).
cnf(s263,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1610]) ).
cnf(s271,plain,
( ~ spl0_31
| ~ spl0_45
| ~ spl0_49 ),
inference(sat_conversion,[],[f1651]) ).
cnf(s283,plain,
( ~ spl0_11
| ~ spl0_43 ),
inference(sat_conversion,[],[f1668]) ).
cnf(s285,plain,
( ~ spl0_2
| ~ spl0_41 ),
inference(sat_conversion,[],[f1679]) ).
cnf(s292,plain,
( ~ spl0_7
| ~ spl0_47 ),
inference(sat_conversion,[],[f1705]) ).
cnf(s293,plain,
( ~ spl0_40
| ~ spl0_41
| ~ spl0_49 ),
inference(sat_conversion,[],[f1730]) ).
cnf(s316,plain,
( ~ spl0_35
| ~ spl0_40
| ~ spl0_49 ),
inference(sat_conversion,[],[f1759]) ).
cnf(s322,plain,
( ~ spl0_35
| ~ spl0_37
| ~ spl0_49 ),
inference(sat_conversion,[],[f1801]) ).
cnf(s343,plain,
( ~ spl0_22
| ~ spl0_45 ),
inference(sat_conversion,[],[f1861]) ).
cnf(s353,plain,
( ~ spl0_33
| ~ spl0_37
| ~ spl0_49 ),
inference(sat_conversion,[],[f1899]) ).
cnf(s362,plain,
( ~ spl0_39
| ~ spl0_45
| ~ spl0_47 ),
inference(sat_conversion,[],[f1917]) ).
cnf(s363,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(sat_conversion,[],[f1919]) ).
cnf(s373,plain,
( ~ spl0_34
| ~ spl0_36
| ~ spl0_47 ),
inference(sat_conversion,[],[f1969]) ).
cnf(s374,plain,
( ~ spl0_5
| spl0_46 ),
inference(sat_conversion,[],[f1970]) ).
cnf(s391,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f2010]) ).
cnf(s398,plain,
( ~ spl0_1
| ~ spl0_46 ),
inference(sat_conversion,[],[f2025]) ).
cnf(s412,plain,
( ~ spl0_2
| ~ spl0_46 ),
inference(sat_conversion,[],[f2079]) ).
cnf(s413,plain,
( ~ spl0_11
| ~ spl0_48 ),
inference(sat_conversion,[],[f2086]) ).
cnf(s422,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f2112]) ).
cnf(s428,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_46 ),
inference(sat_conversion,[],[f2145]) ).
cnf(s437,plain,
( ~ spl0_32
| ~ spl0_39
| ~ spl0_48 ),
inference(sat_conversion,[],[f2183]) ).
cnf(s456,plain,
( spl0_3
| ~ spl0_36 ),
inference(sat_conversion,[],[f2191]) ).
cnf(s459,plain,
( ~ spl0_3
| ~ spl0_46 ),
inference(sat_conversion,[],[f2229]) ).
cnf(s464,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_46 ),
inference(sat_conversion,[],[f2263]) ).
cnf(s471,plain,
( ~ spl0_31
| ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f2294]) ).
cnf(s503,plain,
( ~ spl0_13
| ~ spl0_48 ),
inference(sat_conversion,[],[f2344]) ).
cnf(s515,plain,
( ~ spl0_6
| ~ spl0_47 ),
inference(sat_conversion,[],[f2364]) ).
cnf(s516,plain,
( ~ spl0_38
| ~ spl0_45
| ~ spl0_47 ),
inference(sat_conversion,[],[f2369]) ).
cnf(s528,plain,
( ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(sat_conversion,[],[f2409]) ).
cnf(s552,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f2453]) ).
cnf(s565,plain,
( ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f2493]) ).
cnf(s582,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_47 ),
inference(sat_conversion,[],[f2525]) ).
cnf(s599,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(sat_conversion,[],[f2543]) ).
cnf(s610,plain,
( ~ spl0_30
| ~ spl0_47 ),
inference(sat_conversion,[],[f2574]) ).
cnf(s627,plain,
( ~ spl0_33
| ~ spl0_40
| ~ spl0_47 ),
inference(sat_conversion,[],[f2611]) ).
cnf(s652,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(sat_conversion,[],[f2630]) ).
cnf(s653,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(sat_conversion,[],[f2633]) ).
cnf(s674,plain,
( ~ spl0_35
| ~ spl0_38
| ~ spl0_46 ),
inference(sat_conversion,[],[f2694]) ).
cnf(s687,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_46 ),
inference(sat_conversion,[],[f2726]) ).
cnf(s691,plain,
( spl0_4
| ~ spl0_41 ),
inference(sat_conversion,[],[f2742]) ).
cnf(s707,plain,
( ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(sat_conversion,[],[f2775]) ).
cnf(s731,plain,
( ~ spl0_34
| ~ spl0_37
| ~ spl0_46 ),
inference(sat_conversion,[],[f2823]) ).
cnf(s741,plain,
( ~ spl0_30
| ~ spl0_48 ),
inference(sat_conversion,[],[f2878]) ).
cnf(s771,plain,
( ~ spl0_17
| ~ spl0_39 ),
inference(sat_conversion,[],[f2910]) ).
cnf(s784,plain,
( ~ spl0_40
| ~ spl0_42
| ~ spl0_46 ),
inference(sat_conversion,[],[f2971]) ).
cnf(s798,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_46 ),
inference(sat_conversion,[],[f3003]) ).
cnf(s814,plain,
( ~ spl0_11
| ~ spl0_27 ),
inference(sat_conversion,[],[f3039]) ).
cnf(s819,plain,
( ~ spl0_15
| ~ spl0_46 ),
inference(sat_conversion,[],[f3058]) ).
cnf(s825,plain,
( ~ spl0_40
| ~ spl0_41
| ~ spl0_48 ),
inference(sat_conversion,[],[f3084]) ).
cnf(s843,plain,
( ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f3100]) ).
cnf(s858,plain,
( ~ spl0_40
| ~ spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f3138]) ).
cnf(s881,plain,
( ~ spl0_40
| ~ spl0_44
| ~ spl0_46 ),
inference(sat_conversion,[],[f3161]) ).
cnf(s900,plain,
( ~ spl0_39
| ~ spl0_42
| ~ spl0_46 ),
inference(sat_conversion,[],[f3217]) ).
cnf(s917,plain,
( ~ spl0_32
| ~ spl0_43
| ~ spl0_46 ),
inference(sat_conversion,[],[f3242]) ).
cnf(s937,plain,
( ~ spl0_4
| ~ spl0_46 ),
inference(sat_conversion,[],[f3263]) ).
cnf(s961,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_46 ),
inference(sat_conversion,[],[f3282]) ).
cnf(s993,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_46 ),
inference(sat_conversion,[],[f3330]) ).
cnf(s1017,plain,
( ~ spl0_35
| ~ spl0_37
| ~ spl0_46 ),
inference(sat_conversion,[],[f3388]) ).
cnf(s1035,plain,
( ~ spl0_37
| ~ spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f3424]) ).
cnf(s1049,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_48 ),
inference(sat_conversion,[],[f3456]) ).
cnf(s1066,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(sat_conversion,[],[f3481]) ).
cnf(s1067,plain,
( spl0_8
| spl0_7
| spl0_6
| ~ spl0_46
| spl0_36 ),
inference(rat,[],[s103,s707,s4,s8,s99,s127,s784,s900,s39,s2,s75,s32,s22,s18,s44]) ).
cnf(s1068,plain,
( spl0_7
| spl0_6
| ~ spl0_46
| spl0_36
| spl0_31 ),
inference(rat,[],[s130,s993,s4,s7,s103,s87,s731,s1017,s69,s1067,s104,s22,s18,s44]) ).
cnf(s1069,plain,
( ~ spl0_32
| ~ spl0_46
| spl0_41 ),
inference(rat,[],[s99,s4,s900,s103,s9,s238,s109,s428,s687,s917,s22,s18,s44]) ).
cnf(s1070,plain,
( ~ spl0_17
| spl0_11
| spl0_37
| ~ spl0_46
| spl0_36 ),
inference(rat,[],[s74,s798,s3,s124,s8,s56,s126,s707,s103,s771,s819]) ).
cnf(s1071,plain,
( spl0_39
| spl0_32
| ~ spl0_46
| spl0_36
| spl0_31 ),
inference(rat,[],[s674,s8,s7,s881,s993,s238,s4,s99,s22,s18,s44,s234,s1070,s814,s58,s118,s1068,s40]) ).
cnf(s1072,plain,
( spl0_4
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s80,s464,s5,s7,s26,s163,s961,s1071,s234,s1070,s16,s17,s814,s58,s118,s1068,s40,s1069,s15,s374,s1,s691,s233,s456]) ).
cnf(s1073,plain,
( ~ spl0_27
| spl0_18
| spl0_17
| spl0_19 ),
inference(rat,[],[s4,s18,s86,s60,s178]) ).
cnf(s1074,plain,
( spl0_16
| spl0_37
| spl0_39
| spl0_17
| ~ spl0_41
| spl0_36
| spl0_26 ),
inference(rat,[],[s251,s153,s8,s6,s293,s84,s86,s4,s188,s1073,s99,s21]) ).
cnf(s1075,plain,
( ~ spl0_16
| spl0_50
| spl0_46 ),
inference(rat,[],[s10,s52,s68,s18,s91]) ).
cnf(s1076,plain,
( spl0_39
| spl0_17
| ~ spl0_41
| spl0_46
| spl0_36
| spl0_26 ),
inference(rat,[],[s5,s16,s26,s84,s93,s78,s322,s86,s1074,s4,s1075,s154,s1073,s99,s21,s14]) ).
cnf(s1077,plain,
( ~ spl0_27
| spl0_47
| ~ spl0_39
| spl0_34
| spl0_46
| spl0_31 ),
inference(rat,[],[s7,s162,s1066,s110,s10,s94,s148,s164,s219]) ).
cnf(s1078,plain,
( spl0_17
| ~ spl0_41
| spl0_46
| spl0_36
| spl0_31
| spl0_26 ),
inference(rat,[],[s40,s437,s2,s10,s58,s154,s1077,s69,s87,s164,s64,s219,s565,s1076,s234,s65]) ).
cnf(s1079,plain,
( ~ spl0_27
| spl0_22
| spl0_49
| ~ spl0_41
| spl0_46 ),
inference(rat,[],[s196,s5,s825,s160,s10,s16,s515,s17,s94,s148,s14]) ).
cnf(s1080,plain,
( ~ spl0_47
| ~ spl0_34
| spl0_24 ),
inference(rat,[],[s196,s5,s16,s653,s98,s610,s26,s652]) ).
cnf(s1081,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s153,s6,s413,s741,s10,s1080,s188,s1075,s154,s1079,s26,s652,s103,s237,s1078,s14,s45,s937,s1072,s456,s151,s233]) ).
cnf(s1083,plain,
( ~ spl0_27
| spl0_34
| ~ spl0_36
| spl0_46
| spl0_31 ),
inference(rat,[],[s7,s240,s1049,s158,s10,s110,s515,s94,s148,s178]) ).
cnf(s1084,plain,
( ~ spl0_48
| spl0_29
| spl0_27
| spl0_26 ),
inference(rat,[],[s153,s6,s413,s741]) ).
cnf(s1085,plain,
( spl0_49
| spl0_27
| spl0_17
| spl0_18
| spl0_46
| spl0_31
| spl0_26 ),
inference(rat,[],[s244,s7,s153,s104,s6,s599,s292,s610,s10,s238,s4,s86,s234,s1084,s188,s1075,s154]) ).
cnf(s1086,plain,
( spl0_17
| ~ spl0_36
| spl0_46
| spl0_31
| spl0_26 ),
inference(rat,[],[s168,s7,s80,s244,s5,s153,s26,s6,s16,s228,s84,s93,s1085,s188,s1075,s154,s1083,s234,s20,s13]) ).
cnf(s1087,plain,
( spl0_27
| spl0_47
| spl0_49
| spl0_46
| spl0_26 ),
inference(rat,[],[s1084,s188,s10,s1075,s154]) ).
cnf(s1088,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s80,s5,s391,s160,s16,s10,s17,s148,s1087,s26,s373,s652,s103,s237,s1086,s13,s72,s459,s1081,s233,s151]) ).
cnf(s1089,plain,
( spl0_49
| spl0_27
| spl0_1 ),
inference(rat,[],[s5,s80,s163,s362,s99,s4,s238,s16,s528,s98,s610,s1087,s86,s151,s19,s12,s76,s1075,s154,s412,s1088]) ).
cnf(s1090,plain,
( spl0_27
| spl0_1 ),
inference(rat,[],[s170,s9,s196,s283,s5,s153,s80,s6,s16,s242,s271,s84,s93,s241,s1089,s188,s1075,s154,s151,s412,s285,s12,s76,s1088]) ).
cnf(s1091,plain,
spl0_1,
inference(rat,[],[s4,s238,s99,s858,s163,s196,s5,s80,s471,s160,s10,s16,s515,s1075,s86,s17,s94,s148,s178,s1090,s12,s19,s76,s412,s1088]) ).
cnf(s1092,plain,
~ spl0_46,
inference(rat,[],[s398,s1091]) ).
cnf(s1093,plain,
~ spl0_2,
inference(rat,[],[s263,s1091]) ).
cnf(s1094,plain,
~ spl0_36,
inference(rat,[],[s184,s1091]) ).
cnf(s1095,plain,
~ spl0_41,
inference(rat,[],[s143,s1091]) ).
cnf(s1096,plain,
spl0_26,
inference(rat,[],[s102,s1091]) ).
cnf(s1098,plain,
~ spl0_31,
inference(rat,[],[s233,s1093]) ).
cnf(s1101,plain,
~ spl0_50,
inference(rat,[],[s152,s1096]) ).
cnf(s1103,plain,
~ spl0_6,
inference(rat,[],[s141,s1096]) ).
cnf(s1107,plain,
~ spl0_21,
inference(rat,[],[s11,s1096]) ).
cnf(s1108,plain,
~ spl0_16,
inference(rat,[],[s1075,s1092,s1101]) ).
cnf(s1110,plain,
( ~ spl0_32
| ~ spl0_48
| spl0_20
| spl0_17 ),
inference(rat,[],[s858,s238,s8,s4,s75,s99,s422,s437,s104,s107,s503,s1094,s1108]) ).
cnf(s1111,plain,
( ~ spl0_48
| spl0_20
| spl0_17 ),
inference(rat,[],[s8,s858,s1035,s238,s4,s99,s1066,s7,s1110,s240,s107,s158,s503,s234,s1094,s1108,s1098]) ).
cnf(s1112,plain,
( spl0_35
| ~ spl0_47
| spl0_34 ),
inference(rat,[],[s5,s80,s196,s363,s627,s7,s26,s98,s104,s292,s1107,s1098]) ).
cnf(s1113,plain,
( ~ spl0_35
| ~ spl0_47 ),
inference(rat,[],[s343,s9,s77,s552,s582,s599,s1095]) ).
cnf(s1114,plain,
( ~ spl0_47
| spl0_34 ),
inference(rat,[],[s1113,s1112]) ).
cnf(s1115,plain,
( spl0_49
| spl0_17 ),
inference(rat,[],[s1111,s10,s86,s1114,s234,s1092,s1101]) ).
cnf(s1117,plain,
( ~ spl0_32
| ~ spl0_49 ),
inference(rat,[],[s8,s170,s213,s75,s9,s422,s205,s168,s104,s242,s241,s219,s164,s1094,s1095]) ).
cnf(s1118,plain,
( ~ spl0_33
| spl0_17 ),
inference(rat,[],[s170,s39,s8,s2,s70,s69,s240,s353,s64,s1114,s234,s219,s164,s40,s1117,s1115,s1094,s1103]) ).
cnf(s1119,plain,
spl0_17,
inference(rat,[],[s39,s213,s2,s8,s69,s316,s322,s7,s1118,s40,s1117,s219,s164,s1115,s64,s1114,s234,s1103,s1094,s1098]) ).
cnf(s1120,plain,
~ spl0_39,
inference(rat,[],[s771,s1119]) ).
cnf(s1122,plain,
~ spl0_49,
inference(rat,[],[s237,s1119]) ).
cnf(s1124,plain,
spl0_34,
inference(rat,[],[s103,s1119]) ).
cnf(s1125,plain,
~ spl0_35,
inference(rat,[],[s652,s1124]) ).
cnf(s1127,plain,
~ spl0_32,
inference(rat,[],[s109,s1124]) ).
cnf(s1128,plain,
~ spl0_22,
inference(rat,[],[s26,s1125]) ).
cnf(s1130,plain,
~ spl0_7,
inference(rat,[],[s40,s1127]) ).
cnf(s1131,plain,
spl0_47,
inference(rat,[],[s57,s78,s2,s5,s39,s80,s843,s391,s160,s10,s64,s1130,s1103,s1107,s1128,s1124,s1092,s1122,s1101]) ).
cnf(s1135,plain,
~ spl0_8,
inference(rat,[],[s96,s1131]) ).
cnf(s1136,plain,
~ spl0_40,
inference(rat,[],[s653,s1124,s1131]) ).
cnf(s1137,plain,
spl0_24,
inference(rat,[],[s1080,s1124,s1131]) ).
cnf(s1138,plain,
~ spl0_37,
inference(rat,[],[s75,s1135]) ).
cnf(s1141,plain,
spl0_45,
inference(rat,[],[s80,s1137]) ).
cnf(s1142,plain,
spl0_38,
inference(rat,[],[s8,s1120,s1136,s1094,s1138]) ).
cnf(s1144,plain,
$false,
inference(rat,[],[s516,s1131,s1142,s1141]) ).
fof(f3482,plain,
$false,
inference(avatar_sat_refutation,[],[s1144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG081+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n006.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 19:25:10 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.19/0.32 % (92450)Will run a generic schedule for satisfiability detection.
% 0.19/0.32 % (92455)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2307804935_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.32 % (92456)% WARNING: option uhcvi not known.
% 0.19/0.32 % Detected minimum model sizes of [10]
% 0.19/0.32 % Detected maximum model sizes of [max]
% 0.19/0.32 % TRYING [10]
% 0.19/0.32 % (92456)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2641926622:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.32 % (92457)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=921513665:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.32 % (92458)dis+10_1_sil=32000:sp=arity:random_seed=2593867772:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.32 % (92459)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1847467792:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.32 % (92461)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=815075593:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.32 % (92460)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=643794605:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.32 % (92458)Instruction limit reached!
% 0.19/0.32 % (92458)------------------------------
% 0.19/0.32 % (92458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.32 % (92458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.32 % (92458)CaDiCaL version: 2.1.3
% 0.19/0.32 % (92458)Termination reason: Instruction limit
% 0.19/0.32 % (92458)Termination phase: Saturation
% 0.19/0.32 % (92458)Time elapsed: 0.051 s
% 0.19/0.32 % (92458)Peak memory usage: 12 MB
% 0.19/0.32 % (92458)Instructions burned: 103 (million)
% 0.19/0.32 % (92459) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-92450-92459"...
% 0.19/0.32 % (92460)Instruction limit reached!
% 0.19/0.32 % (92460)------------------------------
% 0.19/0.32 % (92460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.32 % (92460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.32 % (92460)CaDiCaL version: 2.1.3
% 0.19/0.32 % (92460)Termination reason: Instruction limit
% 0.19/0.32 % (92460)Termination phase: Saturation
% 0.19/0.32 % (92460)Time elapsed: 0.065 s
% 0.19/0.32 % (92460)Peak memory usage: 13 MB
% 0.19/0.32 % (92460)Instructions burned: 133 (million)
% 0.19/0.32 % (92459)...printing done.
% 0.19/0.32 % (92459)Refutation found. Thanks to Tanya!
% 0.19/0.32 % SZS status Theorem for theBenchmark
% 0.19/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.34 % (92459)------------------------------
% 0.19/0.34 % (92459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34 % (92459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34 % (92459)CaDiCaL version: 2.1.3
% 0.19/0.34 % (92459)Termination reason: Refutation
% 0.19/0.34 % (92459)Time elapsed: 0.064 s
% 0.19/0.34 % (92459)Peak memory usage: 13 MB
% 0.19/0.34 % (92459)Instructions burned: 125 (million)
% 0.19/0.34 % (92450)Success in time 0.109 s
% 0.19/0.34 % Vampire exiting
%------------------------------------------------------------------------------