%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG181+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:28:49 AM UTC 2026
% Result : Theorem 0.19s 0.33s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 55
% Syntax : Number of formulae : 809 ( 64 unt; 50 def)
% Number of atoms : 2654 ( 975 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 3192 (1347 ~;1453 |; 340 &)
% ( 50 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 52 ( 50 usr; 51 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( op1(e10,e10) = e13
& op1(e10,e11) = e12
& op1(e10,e12) = e10
& op1(e10,e13) = e11
& op1(e10,e14) = e14
& op1(e11,e10) = e10
& op1(e11,e11) = e14
& op1(e11,e12) = e11
& op1(e11,e13) = e12
& op1(e11,e14) = e13
& op1(e12,e10) = e11
& op1(e12,e11) = e13
& op1(e12,e12) = e12
& op1(e12,e13) = e14
& op1(e12,e14) = e10
& op1(e13,e10) = e14
& op1(e13,e11) = e11
& op1(e13,e12) = e13
& op1(e13,e13) = e10
& op1(e13,e14) = e12
& op1(e14,e10) = e12
& op1(e14,e11) = e10
& op1(e14,e12) = e14
& op1(e14,e13) = e13
& op1(e14,e14) = e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e23
& op2(e20,e22) = e24
& op2(e20,e23) = e21
& op2(e20,e24) = e22
& op2(e21,e20) = e24
& op2(e21,e21) = e21
& op2(e21,e22) = e23
& op2(e21,e23) = e22
& op2(e21,e24) = e20
& op2(e22,e20) = e21
& op2(e22,e21) = e20
& op2(e22,e22) = e22
& op2(e22,e23) = e24
& op2(e22,e24) = e23
& op2(e23,e20) = e22
& op2(e23,e21) = e24
& op2(e23,e22) = e20
& op2(e23,e23) = e23
& op2(e23,e24) = e21
& op2(e24,e20) = e23
& op2(e24,e21) = e22
& op2(e24,e22) = e21
& op2(e24,e23) = e20
& op2(e24,e24) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
e12 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f12,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f14,plain,
e11 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f15,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f16,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f17,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f21,plain,
e22 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f25,plain,
e21 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f28,plain,
e20 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f55,plain,
e11 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f61,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f65,plain,
e10 = op1(e12,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f68,plain,
e13 = op1(e12,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f69,plain,
e11 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f71,plain,
e12 = op1(e11,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f72,plain,
e11 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f74,plain,
e10 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f76,plain,
e11 = op1(e10,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f77,plain,
e10 = op1(e10,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f78,plain,
e12 = op1(e10,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f80,plain,
e24 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e20 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
e21 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
e22 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
e23 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
fof(f106,plain,
( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f107,plain,
( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f108,plain,
( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f109,plain,
( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) ),
inference(cnf_transformation,[],[f9]) ).
fof(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(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(f122,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f123,plain,
e21 = h(j(e21)),
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(f178,plain,
( e20 = h(e10)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl0_2
<=> e21 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f181,plain,
( e21 != h(e10)
| spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f182,plain,
( e21 = h(e10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl0_3
<=> e22 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f186,plain,
( e22 = h(e10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl0_4
<=> e23 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f190,plain,
( e23 = h(e10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl0_5
<=> e24 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f194,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f105,f192,f188,f184,f180,f176]) ).
fof(f197,definition,
( spl0_6
<=> e20 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f199,plain,
( e20 = h(e11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl0_7
<=> e21 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f202,plain,
( e21 != h(e11)
| spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f203,plain,
( e21 = h(e11)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl0_8
<=> e22 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f207,plain,
( e22 = h(e11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_9
<=> e23 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f211,plain,
( e23 = h(e11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_10
<=> e24 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f215,plain,
( e24 = h(e11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f106,f213,f209,f205,f201,f197]) ).
fof(f218,definition,
( spl0_11
<=> e20 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f220,plain,
( e20 = h(e12)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_12
<=> e21 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f223,plain,
( e21 != h(e12)
| spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f224,plain,
( e21 = h(e12)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl0_13
<=> e22 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f227,plain,
( e22 != h(e12)
| spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( e22 = h(e12)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl0_14
<=> e23 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f232,plain,
( e23 = h(e12)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl0_15
<=> e24 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f236,plain,
( e24 = h(e12)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f107,f234,f230,f226,f222,f218]) ).
fof(f239,definition,
( spl0_16
<=> e20 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f241,plain,
( e20 = h(e13)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f243,definition,
( spl0_17
<=> e21 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f244,plain,
( e21 != h(e13)
| spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f245,plain,
( e21 = h(e13)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl0_18
<=> e22 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f249,plain,
( e22 = h(e13)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl0_19
<=> e23 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f253,plain,
( e23 = h(e13)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_20
<=> e24 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f257,plain,
( e24 = h(e13)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f108,f255,f251,f247,f243,f239]) ).
fof(f260,definition,
( spl0_21
<=> e20 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f262,plain,
( e20 = h(e14)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl0_22
<=> e21 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(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(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(f315,plain,
( e13 != j(e21)
| spl0_34 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f316,plain,
( e13 = j(e21)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl0_35
<=> e14 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f320,plain,
( e14 = j(e21)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f111,f318,f314,f310,f306,f302]) ).
fof(f323,definition,
( spl0_36
<=> e10 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f325,plain,
( e10 = j(e22)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl0_37
<=> e11 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f329,plain,
( e11 = j(e22)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl0_38
<=> e12 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f333,plain,
( e12 = j(e22)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl0_39
<=> e13 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f336,plain,
( e13 != j(e22)
| spl0_39 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f337,plain,
( e13 = j(e22)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl0_40
<=> e14 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f341,plain,
( e14 = j(e22)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f112,f339,f335,f331,f327,f323]) ).
fof(f344,definition,
( spl0_41
<=> e10 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f346,plain,
( e10 = j(e23)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f348,definition,
( spl0_42
<=> e11 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f350,plain,
( e11 = j(e23)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f352,definition,
( spl0_43
<=> e12 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f354,plain,
( e12 = j(e23)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f356,definition,
( spl0_44
<=> e13 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f358,plain,
( e13 = j(e23)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl0_45
<=> e14 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f362,plain,
( e14 = j(e23)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f365,definition,
( spl0_46
<=> e10 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f367,plain,
( e10 = j(e24)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl0_47
<=> e11 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f371,plain,
( e11 = j(e24)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f373,definition,
( spl0_48
<=> e12 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f375,plain,
( e12 = j(e24)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f377,definition,
( spl0_49
<=> e13 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f379,plain,
( e13 = j(e24)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f381,definition,
( spl0_50
<=> e14 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f383,plain,
( e14 = j(e24)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f384,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f114,f381,f377,f373,f369,f365]) ).
fof(f385,plain,
( e14 = j(e20)
| ~ spl0_21 ),
inference(superposition,[],[f115,f262]) ).
fof(f386,plain,
( e10 = e14
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f385,f283]) ).
fof(f387,plain,
( $false
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f386,f16]) ).
fof(f388,plain,
( ~ spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f390,plain,
( e14 = j(e21)
| ~ spl0_22 ),
inference(superposition,[],[f115,f266]) ).
fof(f391,plain,
( e10 = e14
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_demodulation,[],[f390,f304]) ).
fof(f392,plain,
( $false
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f391,f16]) ).
fof(f393,plain,
( ~ spl0_22
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f396,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f397,plain,
( e10 = e14
| ~ spl0_23
| ~ spl0_36 ),
inference(forward_demodulation,[],[f396,f325]) ).
fof(f398,plain,
( $false
| ~ spl0_23
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f397,f16]) ).
fof(f399,plain,
( ~ spl0_23
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f403,plain,
( e14 = j(e23)
| ~ spl0_24 ),
inference(superposition,[],[f115,f274]) ).
fof(f404,plain,
( e10 = e14
| ~ spl0_24
| ~ spl0_41 ),
inference(forward_demodulation,[],[f403,f346]) ).
fof(f405,plain,
( $false
| ~ spl0_24
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f404,f16]) ).
fof(f406,plain,
( ~ spl0_24
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f411,plain,
( e14 = j(e24)
| ~ spl0_25 ),
inference(superposition,[],[f115,f278]) ).
fof(f415,plain,
( spl0_30
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f385,f260,f297]) ).
fof(f426,plain,
( e13 = j(e20)
| ~ spl0_16 ),
inference(superposition,[],[f116,f241]) ).
fof(f427,plain,
( spl0_29
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f426,f239,f293]) ).
fof(f429,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(superposition,[],[f116,f245]) ).
fof(f430,plain,
( e10 = e13
| ~ spl0_17
| ~ spl0_31 ),
inference(forward_demodulation,[],[f429,f304]) ).
fof(f431,plain,
( $false
| ~ spl0_17
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f430,f17]) ).
fof(f432,plain,
( ~ spl0_17
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f435,plain,
( e13 = j(e22)
| ~ spl0_18 ),
inference(superposition,[],[f116,f249]) ).
fof(f436,plain,
( e10 = e13
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_demodulation,[],[f435,f325]) ).
fof(f437,plain,
( $false
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f436,f17]) ).
fof(f438,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f442,plain,
( e13 = j(e23)
| ~ spl0_19 ),
inference(superposition,[],[f116,f253]) ).
fof(f443,plain,
( e10 = e13
| ~ spl0_19
| ~ spl0_41 ),
inference(forward_demodulation,[],[f442,f346]) ).
fof(f444,plain,
( $false
| ~ spl0_19
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f443,f17]) ).
fof(f445,plain,
( ~ spl0_19
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f450,plain,
( e13 = j(e24)
| ~ spl0_20 ),
inference(superposition,[],[f116,f257]) ).
fof(f459,plain,
( e13 = e14
| ~ spl0_29
| ~ spl0_30 ),
inference(superposition,[],[f295,f299]) ).
fof(f465,plain,
( $false
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f459,f10]) ).
fof(f466,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f465]) ).
fof(f467,plain,
( spl0_35
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f390,f264,f318]) ).
fof(f476,plain,
( e14 = j(e21)
| ~ spl0_22 ),
inference(superposition,[],[f115,f266]) ).
fof(f479,plain,
( e12 = j(e20)
| ~ spl0_11 ),
inference(superposition,[],[f117,f220]) ).
fof(f480,plain,
( spl0_28
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f479,f218,f289]) ).
fof(f482,plain,
( e12 = j(e22)
| ~ spl0_13 ),
inference(superposition,[],[f117,f228]) ).
fof(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(f509,plain,
( e10 = e13
| ~ spl0_26
| ~ spl0_29 ),
inference(superposition,[],[f283,f295]) ).
fof(f514,plain,
( $false
| ~ spl0_26
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f509,f17]) ).
fof(f515,plain,
( ~ spl0_26
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f519,plain,
( e10 = j(e23)
| ~ spl0_4 ),
inference(superposition,[],[f119,f190]) ).
fof(f525,plain,
( e10 = j(e24)
| ~ spl0_5 ),
inference(superposition,[],[f119,f194]) ).
fof(f530,plain,
( e11 = j(e23)
| ~ spl0_9 ),
inference(superposition,[],[f118,f211]) ).
fof(f531,plain,
( spl0_42
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f530,f209,f348]) ).
fof(f535,plain,
( e11 = j(e21)
| ~ spl0_7 ),
inference(superposition,[],[f118,f203]) ).
fof(f536,plain,
( spl0_32
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f535,f201,f306]) ).
fof(f541,plain,
( e11 = j(e22)
| ~ spl0_8 ),
inference(superposition,[],[f118,f207]) ).
fof(f553,plain,
( e24 = h(e10)
| ~ spl0_46 ),
inference(superposition,[],[f120,f367]) ).
fof(f555,plain,
( e22 = h(e11)
| ~ spl0_37 ),
inference(superposition,[],[f122,f329]) ).
fof(f556,plain,
( e21 = h(e14)
| ~ spl0_35 ),
inference(superposition,[],[f123,f320]) ).
fof(f588,plain,
( e12 = j(e24)
| ~ spl0_15 ),
inference(superposition,[],[f117,f236]) ).
fof(f589,plain,
( e10 = e12
| ~ spl0_15
| ~ spl0_46 ),
inference(forward_demodulation,[],[f588,f367]) ).
fof(f590,plain,
( $false
| ~ spl0_15
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f589,f18]) ).
fof(f591,plain,
( ~ spl0_15
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f597,plain,
( e22 = h(e11)
| ~ spl0_37 ),
inference(superposition,[],[f122,f329]) ).
fof(f601,plain,
( e22 = h(e12)
| ~ spl0_38 ),
inference(superposition,[],[f122,f333]) ).
fof(f603,plain,
( $false
| spl0_13
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f601,f227]) ).
fof(f604,plain,
( spl0_13
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f603]) ).
fof(f626,plain,
( j(op2(e24,e23)) = op1(j(e24),e10)
| ~ spl0_41 ),
inference(superposition,[],[f126,f346]) ).
fof(f635,plain,
( op1(e11,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f626,f371]) ).
fof(f636,plain,
( op1(e11,e10) = j(e20)
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f635,f81]) ).
fof(f637,plain,
( e13 = op1(e11,e10)
| ~ spl0_29
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f636,f295]) ).
fof(f638,plain,
( e10 = e13
| ~ spl0_29
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f637,f74]) ).
fof(f639,plain,
( $false
| ~ spl0_29
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f638,f17]) ).
fof(f640,plain,
( ~ spl0_29
| ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f646,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f119,f186]) ).
fof(f649,plain,
( spl0_46
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f525,f192,f365]) ).
fof(f650,plain,
( spl0_27
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f493,f197,f285]) ).
fof(f663,plain,
( e11 = e13
| ~ spl0_27
| ~ spl0_29 ),
inference(superposition,[],[f287,f295]) ).
fof(f668,plain,
( $false
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f663,f14]) ).
fof(f669,plain,
( ~ spl0_27
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f677,plain,
( j(op2(e24,e23)) = op1(j(e24),e11)
| ~ spl0_42 ),
inference(superposition,[],[f126,f350]) ).
fof(f679,plain,
( op1(e10,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f677,f367]) ).
fof(f680,plain,
( op1(e10,e11) = j(e20)
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f679,f81]) ).
fof(f681,plain,
( e13 = op1(e10,e11)
| ~ spl0_29
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f680,f295]) ).
fof(f682,plain,
( e12 = e13
| ~ spl0_29
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f681,f78]) ).
fof(f683,plain,
( $false
| ~ spl0_29
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f682,f12]) ).
fof(f684,plain,
( ~ spl0_29
| ~ spl0_42
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f685,plain,
( spl0_41
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f519,f188,f344]) ).
fof(f696,plain,
( spl0_37
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f541,f205,f327]) ).
fof(f712,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
fof(f715,plain,
( spl0_48
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f588,f234,f373]) ).
fof(f718,plain,
( spl0_36
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f646,f184,f323]) ).
fof(f721,plain,
( spl0_43
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f488,f230,f352]) ).
fof(f728,plain,
( e21 = e22
| ~ spl0_7
| ~ spl0_37 ),
inference(forward_demodulation,[],[f597,f203]) ).
fof(f734,plain,
( $false
| ~ spl0_7
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f728,f25]) ).
fof(f735,plain,
( ~ spl0_7
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f734]) ).
fof(f736,plain,
( e11 = e12
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_demodulation,[],[f354,f350]) ).
fof(f740,plain,
( spl0_8
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f555,f327,f205]) ).
fof(f742,plain,
( $false
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f736,f15]) ).
fof(f743,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f742]) ).
fof(f757,plain,
( e11 = e14
| ~ spl0_32
| ~ spl0_35 ),
inference(superposition,[],[f308,f320]) ).
fof(f758,plain,
( e21 = h(e11)
| ~ spl0_32 ),
inference(superposition,[],[f123,f308]) ).
fof(f764,plain,
( $false
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f757,f13]) ).
fof(f765,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f764]) ).
fof(f772,plain,
( e22 = h(e10)
| ~ spl0_36 ),
inference(superposition,[],[f122,f325]) ).
fof(f779,plain,
( e12 = e13
| ~ spl0_43
| ~ spl0_44 ),
inference(superposition,[],[f358,f354]) ).
fof(f789,plain,
( $false
| ~ spl0_43
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f779,f12]) ).
fof(f790,plain,
( ~ spl0_43
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f789]) ).
fof(f796,plain,
( j(op2(e24,e23)) = op1(e11,j(e23))
| ~ spl0_47 ),
inference(superposition,[],[f126,f371]) ).
fof(f798,plain,
( e24 = h(e11)
| ~ spl0_47 ),
inference(superposition,[],[f120,f371]) ).
fof(f800,plain,
( op1(e11,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f796,f354]) ).
fof(f802,plain,
( op1(e11,e12) = j(e20)
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f800,f81]) ).
fof(f803,plain,
( e13 = op1(e11,e12)
| ~ spl0_29
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f802,f295]) ).
fof(f804,plain,
( e11 = e13
| ~ spl0_29
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f803,f72]) ).
fof(f805,plain,
( $false
| ~ spl0_29
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f804,f14]) ).
fof(f806,plain,
( ~ spl0_29
| ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f805]) ).
fof(f819,plain,
( e12 = e13
| ~ spl0_28
| ~ spl0_29 ),
inference(superposition,[],[f291,f295]) ).
fof(f824,plain,
( $false
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f819,f12]) ).
fof(f825,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f824]) ).
fof(f846,plain,
( j(op2(e24,e23)) = op1(e12,j(e23))
| ~ spl0_48 ),
inference(superposition,[],[f126,f375]) ).
fof(f848,plain,
( e24 = h(e12)
| ~ spl0_48 ),
inference(superposition,[],[f120,f375]) ).
fof(f855,plain,
( j(op2(e24,e22)) = op1(e12,j(e22))
| ~ spl0_48 ),
inference(superposition,[],[f127,f375]) ).
fof(f858,plain,
( op1(e12,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f855,f325]) ).
fof(f860,plain,
( op1(e12,e10) = j(e21)
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f858,f82]) ).
fof(f862,plain,
( e14 = op1(e12,e10)
| ~ spl0_35
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f860,f320]) ).
fof(f864,plain,
( e11 = e14
| ~ spl0_35
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f862,f69]) ).
fof(f867,plain,
( $false
| ~ spl0_35
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f864,f13]) ).
fof(f868,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f867]) ).
fof(f870,plain,
( $false
| spl0_7
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f758,f202]) ).
fof(f871,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f870]) ).
fof(f878,plain,
( e12 = e14
| ~ spl0_25
| ~ spl0_48 ),
inference(forward_demodulation,[],[f411,f375]) ).
fof(f881,plain,
( e13 = op1(e12,e10)
| ~ spl0_34
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f860,f316]) ).
fof(f882,plain,
( $false
| ~ spl0_25
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f878,f11]) ).
fof(f883,plain,
( ~ spl0_25
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f882]) ).
fof(f885,plain,
( e11 = e13
| ~ spl0_34
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f881,f69]) ).
fof(f888,plain,
( $false
| ~ spl0_34
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f885,f14]) ).
fof(f889,plain,
( ~ spl0_34
| ~ spl0_36
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f888]) ).
fof(f890,plain,
( spl0_31
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f502,f180,f302]) ).
fof(f892,plain,
( spl0_40
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f396,f268,f339]) ).
fof(f908,plain,
( e21 = h(e10)
| ~ spl0_31 ),
inference(superposition,[],[f123,f304]) ).
fof(f913,plain,
( e22 = h(e14)
| ~ spl0_40 ),
inference(superposition,[],[f122,f341]) ).
fof(f917,plain,
( j(op2(e24,e21)) = op1(e12,j(e21))
| ~ spl0_48 ),
inference(superposition,[],[f128,f375]) ).
fof(f920,plain,
( op1(e12,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f917,f304]) ).
fof(f922,plain,
( op1(e12,e10) = j(e22)
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f920,f83]) ).
fof(f924,plain,
( e14 = op1(e12,e10)
| ~ spl0_31
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f922,f341]) ).
fof(f926,plain,
( e11 = e14
| ~ spl0_31
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f924,f69]) ).
fof(f929,plain,
( $false
| ~ spl0_31
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f926,f13]) ).
fof(f930,plain,
( ~ spl0_31
| ~ spl0_40
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f929]) ).
fof(f932,plain,
( spl0_38
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f482,f226,f331]) ).
fof(f937,plain,
( op1(e12,e14) = j(op2(e24,e23))
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f846,f362]) ).
fof(f941,plain,
( op1(e12,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f917,f308]) ).
fof(f943,plain,
( e22 = e24
| ~ spl0_13
| ~ spl0_48 ),
inference(forward_demodulation,[],[f848,f228]) ).
fof(f948,plain,
( op1(e12,e14) = j(e20)
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f937,f81]) ).
fof(f951,plain,
( op1(e12,e11) = j(e22)
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f941,f83]) ).
fof(f952,plain,
( $false
| ~ spl0_13
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f943,f21]) ).
fof(f953,plain,
( ~ spl0_13
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f952]) ).
fof(f954,plain,
( e13 = op1(e12,e14)
| ~ spl0_29
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f948,f295]) ).
fof(f959,plain,
( e14 = op1(e12,e11)
| ~ spl0_32
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f951,f341]) ).
fof(f960,plain,
( e10 = e13
| ~ spl0_29
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f954,f65]) ).
fof(f961,plain,
( e13 = e14
| ~ spl0_32
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f959,f68]) ).
fof(f962,plain,
( $false
| ~ spl0_29
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f960,f17]) ).
fof(f963,plain,
( ~ spl0_29
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f962]) ).
fof(f964,plain,
( $false
| ~ spl0_32
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f961,f10]) ).
fof(f965,plain,
( ~ spl0_32
| ~ spl0_40
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f964]) ).
fof(f966,plain,
( spl0_33
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f712,f222,f310]) ).
fof(f969,plain,
( spl0_44
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f442,f251,f356]) ).
fof(f980,plain,
( e21 = e24
| ~ spl0_12
| ~ spl0_48 ),
inference(forward_demodulation,[],[f848,f224]) ).
fof(f991,plain,
( $false
| ~ spl0_12
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f980,f23]) ).
fof(f992,plain,
( ~ spl0_12
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f991]) ).
fof(f1020,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f1022,plain,
( op1(e10,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1020,f367]) ).
fof(f1023,plain,
( op1(e10,e12) = j(e22)
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1022,f83]) ).
fof(f1024,plain,
( e14 = op1(e10,e12)
| ~ spl0_33
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1023,f341]) ).
fof(f1025,plain,
( e10 = e14
| ~ spl0_33
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1024,f77]) ).
fof(f1026,plain,
( $false
| ~ spl0_33
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1025,f16]) ).
fof(f1027,plain,
( ~ spl0_33
| ~ spl0_40
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1026]) ).
fof(f1077,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f1079,plain,
( op1(e10,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1077,f367]) ).
fof(f1080,plain,
( op1(e10,e11) = j(e22)
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1079,f83]) ).
fof(f1081,plain,
( e14 = op1(e10,e11)
| ~ spl0_32
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1080,f341]) ).
fof(f1082,plain,
( e12 = e14
| ~ spl0_32
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1081,f78]) ).
fof(f1083,plain,
( $false
| ~ spl0_32
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1082,f11]) ).
fof(f1084,plain,
( ~ spl0_32
| ~ spl0_40
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1083]) ).
fof(f1095,plain,
( j(op2(e24,e22)) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f127,f333]) ).
fof(f1096,plain,
( e22 = h(e12)
| ~ spl0_38 ),
inference(superposition,[],[f122,f333]) ).
fof(f1097,plain,
( op1(e10,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1095,f367]) ).
fof(f1098,plain,
( op1(e10,e12) = j(e21)
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1097,f82]) ).
fof(f1099,plain,
( e11 = op1(e10,e12)
| ~ spl0_32
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1098,f308]) ).
fof(f1100,plain,
( e10 = e11
| ~ spl0_32
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1099,f77]) ).
fof(f1101,plain,
( $false
| ~ spl0_32
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1100,f19]) ).
fof(f1102,plain,
( ~ spl0_32
| ~ spl0_38
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1101]) ).
fof(f1109,plain,
( e13 = op1(e10,e11)
| ~ spl0_32
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1080,f337]) ).
fof(f1118,plain,
( e12 = e13
| ~ spl0_32
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1109,f78]) ).
fof(f1119,plain,
( $false
| ~ spl0_32
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1118,f12]) ).
fof(f1120,plain,
( ~ spl0_32
| ~ spl0_39
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1119]) ).
fof(f1130,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f1131,plain,
( e21 = h(e12)
| ~ spl0_33 ),
inference(superposition,[],[f123,f312]) ).
fof(f1132,plain,
( op1(e10,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1130,f367]) ).
fof(f1133,plain,
( op1(e10,e12) = j(e22)
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1132,f83]) ).
fof(f1134,plain,
( e13 = op1(e10,e12)
| ~ spl0_33
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1133,f337]) ).
fof(f1135,plain,
( e10 = e13
| ~ spl0_33
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1134,f77]) ).
fof(f1136,plain,
( $false
| ~ spl0_33
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1135,f17]) ).
fof(f1137,plain,
( ~ spl0_33
| ~ spl0_39
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1136]) ).
fof(f1140,plain,
( e11 = op1(e10,e12)
| ~ spl0_33
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1133,f329]) ).
fof(f1141,plain,
( e10 = e11
| ~ spl0_33
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1140,f77]) ).
fof(f1142,plain,
( $false
| ~ spl0_33
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1141,f19]) ).
fof(f1143,plain,
( ~ spl0_33
| ~ spl0_37
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1142]) ).
fof(f1144,plain,
( e11 = e13
| ~ spl0_18
| ~ spl0_37 ),
inference(forward_demodulation,[],[f435,f329]) ).
fof(f1153,plain,
( $false
| ~ spl0_18
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1144,f14]) ).
fof(f1154,plain,
( ~ spl0_18
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1153]) ).
fof(f1202,plain,
( e21 = h(e13)
| ~ spl0_34 ),
inference(superposition,[],[f123,f316]) ).
fof(f1208,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f1210,plain,
( op1(e10,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1208,f367]) ).
fof(f1211,plain,
( op1(e10,e11) = j(e21)
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1210,f82]) ).
fof(f1212,plain,
( e13 = op1(e10,e11)
| ~ spl0_34
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1211,f316]) ).
fof(f1213,plain,
( e12 = e13
| ~ spl0_34
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1212,f78]) ).
fof(f1214,plain,
( $false
| ~ spl0_34
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1213,f12]) ).
fof(f1215,plain,
( ~ spl0_34
| ~ spl0_37
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1214]) ).
fof(f1216,plain,
( $false
| spl0_22
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f556,f265]) ).
fof(f1217,plain,
( spl0_22
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f1216]) ).
fof(f1218,plain,
( $false
| ~ spl0_17
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f429,f315]) ).
fof(f1219,plain,
( ~ spl0_17
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f1218]) ).
fof(f1222,plain,
( e14 = op1(e10,e11)
| ~ spl0_35
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1211,f320]) ).
fof(f1223,plain,
( e12 = e14
| ~ spl0_35
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1222,f78]) ).
fof(f1224,plain,
( $false
| ~ spl0_35
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1223,f11]) ).
fof(f1225,plain,
( ~ spl0_35
| ~ spl0_37
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1224]) ).
fof(f1227,plain,
( $false
| spl0_2
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f908,f181]) ).
fof(f1228,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f1227]) ).
fof(f1246,plain,
( e21 = e24
| ~ spl0_2
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f182]) ).
fof(f1248,plain,
( $false
| ~ spl0_2
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1246,f23]) ).
fof(f1249,plain,
( ~ spl0_2
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1248]) ).
fof(f1250,plain,
( $false
| spl0_17
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1202,f244]) ).
fof(f1251,plain,
( spl0_17
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1250]) ).
fof(f1265,plain,
( e12 = j(e20)
| ~ spl0_11 ),
inference(superposition,[],[f117,f220]) ).
fof(f1271,plain,
( e13 = j(e23)
| ~ spl0_19 ),
inference(superposition,[],[f116,f253]) ).
fof(f1290,plain,
( e13 = e14
| ~ spl0_22
| ~ spl0_34 ),
inference(forward_demodulation,[],[f476,f316]) ).
fof(f1298,plain,
( $false
| ~ spl0_22
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1290,f10]) ).
fof(f1299,plain,
( ~ spl0_22
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1298]) ).
fof(f1303,plain,
( e11 = e13
| ~ spl0_19
| ~ spl0_42 ),
inference(forward_demodulation,[],[f1271,f350]) ).
fof(f1309,plain,
( $false
| ~ spl0_19
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1303,f14]) ).
fof(f1310,plain,
( ~ spl0_19
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f1309]) ).
fof(f1318,plain,
( e13 = j(e22)
| ~ spl0_18 ),
inference(superposition,[],[f116,f249]) ).
fof(f1334,plain,
( j(op2(e24,e22)) = op1(j(e24),e13)
| ~ spl0_39 ),
inference(superposition,[],[f127,f337]) ).
fof(f1335,plain,
( e22 = h(e13)
| ~ spl0_39 ),
inference(superposition,[],[f122,f337]) ).
fof(f1336,plain,
( op1(e10,e13) = j(op2(e24,e22))
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1334,f367]) ).
fof(f1337,plain,
( op1(e10,e13) = j(e21)
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1336,f82]) ).
fof(f1338,plain,
( e14 = op1(e10,e13)
| ~ spl0_35
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1337,f320]) ).
fof(f1339,plain,
( e11 = e14
| ~ spl0_35
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1338,f76]) ).
fof(f1340,plain,
( $false
| ~ spl0_35
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1339,f13]) ).
fof(f1341,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1340]) ).
fof(f1346,plain,
( $false
| ~ spl0_18
| spl0_39 ),
inference(forward_subsumption_resolution,[],[f1318,f336]) ).
fof(f1347,plain,
( ~ spl0_18
| spl0_39 ),
inference(avatar_contradiction_clause,[],[f1346]) ).
fof(f1349,plain,
( spl0_34
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f429,f243,f314]) ).
fof(f1362,plain,
( j(op2(e24,e21)) = op1(j(e24),e13)
| ~ spl0_34 ),
inference(superposition,[],[f128,f316]) ).
fof(f1366,plain,
( op1(e10,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1362,f367]) ).
fof(f1367,plain,
( op1(e10,e13) = j(e22)
| ~ spl0_34
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1366,f83]) ).
fof(f1368,plain,
( e14 = op1(e10,e13)
| ~ spl0_34
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1367,f341]) ).
fof(f1369,plain,
( e11 = e14
| ~ spl0_34
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1368,f76]) ).
fof(f1370,plain,
( $false
| ~ spl0_34
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1369,f13]) ).
fof(f1371,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1370]) ).
fof(f1373,plain,
( spl0_3
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f772,f323,f184]) ).
fof(f1390,plain,
( e22 = e24
| ~ spl0_3
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f186]) ).
fof(f1391,plain,
( $false
| ~ spl0_3
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1390,f21]) ).
fof(f1392,plain,
( ~ spl0_3
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1391]) ).
fof(f1393,plain,
( e21 = e22
| ~ spl0_17
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1335,f245]) ).
fof(f1395,plain,
( e13 = op1(e10,e13)
| ~ spl0_34
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1367,f337]) ).
fof(f1396,plain,
( $false
| ~ spl0_17
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1393,f25]) ).
fof(f1397,plain,
( ~ spl0_17
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1396]) ).
fof(f1398,plain,
( e11 = e13
| ~ spl0_34
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1395,f76]) ).
fof(f1399,plain,
( $false
| ~ spl0_34
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1398,f14]) ).
fof(f1400,plain,
( ~ spl0_34
| ~ spl0_39
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1399]) ).
fof(f1402,plain,
( e21 = e22
| ~ spl0_22
| ~ spl0_40 ),
inference(forward_demodulation,[],[f913,f266]) ).
fof(f1407,plain,
( $false
| ~ spl0_22
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1402,f25]) ).
fof(f1408,plain,
( ~ spl0_22
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1407]) ).
fof(f1412,plain,
( e20 = e22
| ~ spl0_11
| ~ spl0_38 ),
inference(forward_demodulation,[],[f1096,f220]) ).
fof(f1418,plain,
( $false
| ~ spl0_11
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1412,f28]) ).
fof(f1419,plain,
( ~ spl0_11
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f1418]) ).
fof(f1465,plain,
( j(op2(e24,e22)) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f127,f333]) ).
fof(f1467,plain,
( op1(e10,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1465,f367]) ).
fof(f1468,plain,
( op1(e10,e12) = j(e21)
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1467,f82]) ).
fof(f1469,plain,
( e14 = op1(e10,e12)
| ~ spl0_35
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1468,f320]) ).
fof(f1470,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1469,f77]) ).
fof(f1471,plain,
( $false
| ~ spl0_35
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1470,f16]) ).
fof(f1472,plain,
( ~ spl0_35
| ~ spl0_38
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1471]) ).
fof(f1475,plain,
( $false
| spl0_12
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f1131,f223]) ).
fof(f1476,plain,
( spl0_12
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f1475]) ).
fof(f1478,plain,
( e12 = op1(e10,e12)
| ~ spl0_33
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1468,f312]) ).
fof(f1481,plain,
( e10 = e12
| ~ spl0_33
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1478,f77]) ).
fof(f1482,plain,
( $false
| ~ spl0_33
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1481,f18]) ).
fof(f1483,plain,
( ~ spl0_33
| ~ spl0_38
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1482]) ).
fof(f1487,plain,
( e13 = op1(e10,e12)
| ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1468,f316]) ).
fof(f1490,plain,
( e10 = e13
| ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1487,f77]) ).
fof(f1491,plain,
( $false
| ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1490,f17]) ).
fof(f1492,plain,
( ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1491]) ).
fof(f1494,plain,
( spl0_49
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f450,f255,f377]) ).
fof(f1519,plain,
( j(op2(e24,e21)) = op1(j(e24),e14)
| ~ spl0_35 ),
inference(superposition,[],[f128,f320]) ).
fof(f1528,plain,
( j(op2(e24,e22)) = op1(j(e24),e10)
| ~ spl0_36 ),
inference(superposition,[],[f127,f325]) ).
fof(f1561,plain,
( op1(e13,e13) = j(op2(e24,e24))
| ~ spl0_49 ),
inference(superposition,[],[f125,f379]) ).
fof(f1569,plain,
( op1(e13,e13) = j(e24)
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1561,f80]) ).
fof(f1573,plain,
( e13 = op1(e13,e13)
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1569,f379]) ).
fof(f1577,plain,
( e10 = e13
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1573,f61]) ).
fof(f1578,plain,
( $false
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1577,f17]) ).
fof(f1579,plain,
~ spl0_49,
inference(avatar_contradiction_clause,[],[f1578]) ).
fof(f1582,plain,
( e11 = e12
| ~ spl0_11
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1265,f287]) ).
fof(f1598,plain,
( $false
| ~ spl0_11
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1582,f15]) ).
fof(f1599,plain,
( ~ spl0_11
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1598]) ).
fof(f1612,plain,
( op1(e11,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1528,f371]) ).
fof(f1615,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1612,f82]) ).
fof(f1617,plain,
( e14 = op1(e11,e10)
| ~ spl0_35
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1615,f320]) ).
fof(f1618,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1617,f74]) ).
fof(f1619,plain,
( $false
| ~ spl0_35
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1618,f16]) ).
fof(f1620,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1619]) ).
fof(f1621,plain,
( spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f506,f176,f281]) ).
fof(f1649,plain,
( j(op2(e24,e22)) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f127,f333]) ).
fof(f1651,plain,
( op1(e11,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1649,f371]) ).
fof(f1652,plain,
( op1(e11,e12) = j(e21)
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1651,f82]) ).
fof(f1653,plain,
( e14 = op1(e11,e12)
| ~ spl0_35
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1652,f320]) ).
fof(f1654,plain,
( e11 = e14
| ~ spl0_35
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1653,f72]) ).
fof(f1655,plain,
( $false
| ~ spl0_35
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1654,f13]) ).
fof(f1656,plain,
( ~ spl0_35
| ~ spl0_38
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1655]) ).
fof(f1712,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f1721,plain,
( op1(e12,e14) = j(op2(e24,e21))
| ~ spl0_35
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1519,f375]) ).
fof(f1722,plain,
( op1(e12,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1712,f375]) ).
fof(f1723,plain,
( op1(e12,e14) = j(e22)
| ~ spl0_35
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1721,f83]) ).
fof(f1724,plain,
( op1(e12,e11) = j(e21)
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1722,f82]) ).
fof(f1726,plain,
( e14 = op1(e12,e11)
| ~ spl0_35
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1724,f320]) ).
fof(f1728,plain,
( e13 = e14
| ~ spl0_35
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1726,f68]) ).
fof(f1731,plain,
( $false
| ~ spl0_35
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1728,f10]) ).
fof(f1732,plain,
( ~ spl0_35
| ~ spl0_37
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1731]) ).
fof(f1736,plain,
( e13 = op1(e12,e14)
| ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1723,f337]) ).
fof(f1738,plain,
( e10 = e13
| ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1736,f65]) ).
fof(f1739,plain,
( $false
| ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1738,f17]) ).
fof(f1740,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1739]) ).
fof(f1775,plain,
( j(op2(e24,e22)) = op1(j(e24),e13)
| ~ spl0_39 ),
inference(superposition,[],[f127,f337]) ).
fof(f1777,plain,
( op1(e11,e13) = j(op2(e24,e22))
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1775,f371]) ).
fof(f1778,plain,
( op1(e11,e13) = j(e21)
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1777,f82]) ).
fof(f1779,plain,
( e14 = op1(e11,e13)
| ~ spl0_35
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1778,f320]) ).
fof(f1780,plain,
( e12 = e14
| ~ spl0_35
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1779,f71]) ).
fof(f1781,plain,
( $false
| ~ spl0_35
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1780,f11]) ).
fof(f1782,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1781]) ).
fof(f1824,plain,
( e14 = j(e24)
| ~ spl0_25 ),
inference(superposition,[],[f115,f278]) ).
fof(f1836,plain,
( e21 = e24
| ~ spl0_7
| ~ spl0_47 ),
inference(forward_demodulation,[],[f798,f203]) ).
fof(f1841,plain,
( e11 = e14
| ~ spl0_25
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1824,f371]) ).
fof(f1843,plain,
( $false
| ~ spl0_7
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1836,f23]) ).
fof(f1844,plain,
( ~ spl0_7
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1843]) ).
fof(f1848,plain,
( $false
| ~ spl0_25
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1841,f13]) ).
fof(f1849,plain,
( ~ spl0_25
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1848]) ).
fof(f1868,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
fof(f1874,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f1881,plain,
( j(op2(e24,e23)) = op1(j(e24),e10)
| ~ spl0_41 ),
inference(superposition,[],[f126,f346]) ).
fof(f1888,plain,
( op1(e14,e14) = j(op2(e24,e24))
| ~ spl0_50 ),
inference(superposition,[],[f125,f383]) ).
fof(f1898,plain,
( op1(e14,e14) = j(e24)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1888,f80]) ).
fof(f1902,plain,
( e14 = op1(e14,e14)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1898,f383]) ).
fof(f1906,plain,
( e11 = e14
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1902,f55]) ).
fof(f1907,plain,
( $false
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1906,f13]) ).
fof(f1908,plain,
~ spl0_50,
inference(avatar_contradiction_clause,[],[f1907]) ).
fof(f1913,plain,
( op1(e11,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1874,f371]) ).
fof(f1914,plain,
( op1(e11,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1881,f371]) ).
fof(f1921,plain,
( op1(e11,e12) = j(e22)
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1913,f83]) ).
fof(f1922,plain,
( op1(e11,e10) = j(e20)
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1914,f81]) ).
fof(f1924,plain,
( e13 = op1(e11,e12)
| ~ spl0_33
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1921,f337]) ).
fof(f1925,plain,
( e14 = op1(e11,e10)
| ~ spl0_30
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1922,f299]) ).
fof(f1926,plain,
( e11 = e13
| ~ spl0_33
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1924,f72]) ).
fof(f1927,plain,
( e10 = e14
| ~ spl0_30
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1925,f74]) ).
fof(f1928,plain,
( $false
| ~ spl0_33
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1926,f14]) ).
fof(f1929,plain,
( ~ spl0_33
| ~ spl0_39
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1928]) ).
fof(f1930,plain,
( $false
| ~ spl0_30
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1927,f16]) ).
fof(f1931,plain,
( ~ spl0_30
| ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1930]) ).
fof(f1934,plain,
( spl0_45
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f403,f272,f360]) ).
fof(f1962,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f1965,plain,
( op1(e11,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1962,f371]) ).
fof(f1966,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1965,f83]) ).
fof(f1967,plain,
( e13 = op1(e11,e10)
| ~ spl0_31
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1966,f337]) ).
fof(f1968,plain,
( e10 = e13
| ~ spl0_31
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1967,f74]) ).
fof(f1969,plain,
( $false
| ~ spl0_31
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1968,f17]) ).
fof(f1970,plain,
( ~ spl0_31
| ~ spl0_39
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1969]) ).
fof(f1975,plain,
( op1(e12,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1962,f375]) ).
fof(f1984,plain,
( op1(e12,e10) = j(e22)
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1975,f83]) ).
fof(f1986,plain,
( e13 = op1(e12,e10)
| ~ spl0_31
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1984,f337]) ).
fof(f1987,plain,
( e11 = e13
| ~ spl0_31
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1986,f69]) ).
fof(f1988,plain,
( $false
| ~ spl0_31
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1987,f14]) ).
fof(f1989,plain,
( ~ spl0_31
| ~ spl0_39
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1988]) ).
fof(f2011,plain,
( e14 = j(e23)
| ~ spl0_24 ),
inference(superposition,[],[f115,f274]) ).
fof(f2033,plain,
( j(op2(e24,e23)) = op1(e12,j(e23))
| ~ spl0_48 ),
inference(superposition,[],[f126,f375]) ).
fof(f2034,plain,
( j(op2(e24,e22)) = op1(e12,j(e22))
| ~ spl0_48 ),
inference(superposition,[],[f127,f375]) ).
fof(f2050,plain,
( j(op2(e24,e20)) = op1(e12,j(e20))
| ~ spl0_48 ),
inference(superposition,[],[f129,f375]) ).
fof(f2053,plain,
( op1(e12,e10) = j(op2(e24,e20))
| ~ spl0_26
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2050,f283]) ).
fof(f2055,plain,
( op1(e12,e10) = j(e23)
| ~ spl0_26
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2053,f84]) ).
fof(f2057,plain,
( e14 = op1(e12,e10)
| ~ spl0_26
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2055,f362]) ).
fof(f2059,plain,
( e11 = e14
| ~ spl0_26
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2057,f69]) ).
fof(f2062,plain,
( $false
| ~ spl0_26
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2059,f13]) ).
fof(f2063,plain,
( ~ spl0_26
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2062]) ).
fof(f2066,plain,
( op1(e12,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2033,f346]) ).
fof(f2067,plain,
( op1(e12,e14) = j(op2(e24,e20))
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2050,f299]) ).
fof(f2073,plain,
( op1(e12,e10) = j(e20)
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2066,f81]) ).
fof(f2074,plain,
( op1(e12,e14) = j(e23)
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2067,f84]) ).
fof(f2075,plain,
( e14 = op1(e12,e10)
| ~ spl0_30
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2073,f299]) ).
fof(f2077,plain,
( e11 = e14
| ~ spl0_30
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2075,f69]) ).
fof(f2078,plain,
( $false
| ~ spl0_30
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2077,f13]) ).
fof(f2079,plain,
( ~ spl0_30
| ~ spl0_41
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2078]) ).
fof(f2083,plain,
( e13 = op1(e12,e14)
| ~ spl0_30
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2074,f358]) ).
fof(f2093,plain,
( e10 = e13
| ~ spl0_30
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2083,f65]) ).
fof(f2096,plain,
( $false
| ~ spl0_30
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2093,f17]) ).
fof(f2097,plain,
( ~ spl0_30
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2096]) ).
fof(f2103,plain,
( e13 = e14
| ~ spl0_24
| ~ spl0_44 ),
inference(forward_demodulation,[],[f2011,f358]) ).
fof(f2118,plain,
( $false
| ~ spl0_24
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f2103,f10]) ).
fof(f2119,plain,
( ~ spl0_24
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f2118]) ).
fof(f2133,plain,
( op1(e12,e14) = j(op2(e24,e22))
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2034,f341]) ).
fof(f2148,plain,
( op1(e12,e14) = j(e21)
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2133,f82]) ).
fof(f2155,plain,
( e13 = op1(e12,e14)
| ~ spl0_34
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2148,f316]) ).
fof(f2157,plain,
( e10 = e13
| ~ spl0_34
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2155,f65]) ).
fof(f2158,plain,
( $false
| ~ spl0_34
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2157,f17]) ).
fof(f2159,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2158]) ).
fof(f2200,plain,
( j(op2(e24,e21)) = op1(j(e24),e13)
| ~ spl0_34 ),
inference(superposition,[],[f128,f316]) ).
fof(f2203,plain,
( op1(e11,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2200,f371]) ).
fof(f2204,plain,
( op1(e11,e13) = j(e22)
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2203,f83]) ).
fof(f2207,plain,
( j(op2(e24,e22)) = op1(j(e24),e10)
| ~ spl0_36 ),
inference(superposition,[],[f127,f325]) ).
fof(f2209,plain,
( op1(e11,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2207,f371]) ).
fof(f2210,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2209,f82]) ).
fof(f2211,plain,
( e13 = op1(e11,e10)
| ~ spl0_34
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2210,f316]) ).
fof(f2212,plain,
( e10 = e13
| ~ spl0_34
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2211,f74]) ).
fof(f2213,plain,
( $false
| ~ spl0_34
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2212,f17]) ).
fof(f2214,plain,
( ~ spl0_34
| ~ spl0_36
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2213]) ).
fof(f2219,plain,
( e14 = op1(e11,e13)
| ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2204,f341]) ).
fof(f2230,plain,
( e12 = e14
| ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2219,f71]) ).
fof(f2237,plain,
( $false
| ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2230,f11]) ).
fof(f2238,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2237]) ).
fof(f2261,plain,
( j(op2(e24,e20)) = op1(j(e24),e10)
| ~ spl0_26 ),
inference(superposition,[],[f129,f283]) ).
fof(f2264,plain,
( op1(e11,e10) = j(op2(e24,e20))
| ~ spl0_26
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2261,f371]) ).
fof(f2265,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_26
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2264,f84]) ).
fof(f2266,plain,
( e14 = op1(e11,e10)
| ~ spl0_26
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2265,f362]) ).
fof(f2267,plain,
( e10 = e14
| ~ spl0_26
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2266,f74]) ).
fof(f2268,plain,
( $false
| ~ spl0_26
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2267,f16]) ).
fof(f2269,plain,
( ~ spl0_26
| ~ spl0_45
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2268]) ).
fof(f2330,plain,
( j(op2(e24,e20)) = op1(j(e24),e12)
| ~ spl0_28 ),
inference(superposition,[],[f129,f291]) ).
fof(f2333,plain,
( op1(e11,e12) = j(op2(e24,e20))
| ~ spl0_28
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2330,f371]) ).
fof(f2334,plain,
( op1(e11,e12) = j(e23)
| ~ spl0_28
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2333,f84]) ).
fof(f2335,plain,
( e13 = op1(e11,e12)
| ~ spl0_28
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2334,f358]) ).
fof(f2336,plain,
( e11 = e13
| ~ spl0_28
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2335,f72]) ).
fof(f2337,plain,
( $false
| ~ spl0_28
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2336,f14]) ).
fof(f2338,plain,
( ~ spl0_28
| ~ spl0_44
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2337]) ).
fof(f2342,plain,
( e10 = e12
| ~ spl0_12
| ~ spl0_31 ),
inference(forward_demodulation,[],[f1868,f304]) ).
fof(f2356,plain,
( $false
| ~ spl0_12
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f2342,f18]) ).
fof(f2357,plain,
( ~ spl0_12
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f2356]) ).
fof(f2373,plain,
( j(op2(e24,e20)) = op1(j(e24),e10)
| ~ spl0_26 ),
inference(superposition,[],[f129,f283]) ).
fof(f2374,plain,
( op1(e11,e10) = j(op2(e24,e20))
| ~ spl0_26
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2373,f371]) ).
fof(f2375,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_26
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2374,f84]) ).
fof(f2376,plain,
( e13 = op1(e11,e10)
| ~ spl0_26
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2375,f358]) ).
fof(f2377,plain,
( e10 = e13
| ~ spl0_26
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2376,f74]) ).
fof(f2378,plain,
( $false
| ~ spl0_26
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2377,f17]) ).
fof(f2379,plain,
( ~ spl0_26
| ~ spl0_44
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2378]) ).
fof(f2407,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f2409,plain,
( op1(e11,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2407,f371]) ).
fof(f2410,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2409,f83]) ).
fof(f2411,plain,
( e12 = op1(e11,e10)
| ~ spl0_31
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2410,f333]) ).
fof(f2412,plain,
( e10 = e12
| ~ spl0_31
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2411,f74]) ).
fof(f2413,plain,
( $false
| ~ spl0_31
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2412,f18]) ).
fof(f2414,plain,
( ~ spl0_31
| ~ spl0_38
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2413]) ).
fof(f2437,plain,
( j(op2(e24,e22)) = op1(j(e24),e10)
| ~ spl0_36 ),
inference(superposition,[],[f127,f325]) ).
fof(f2439,plain,
( op1(e11,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2437,f371]) ).
fof(f2440,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2439,f82]) ).
fof(f2441,plain,
( e12 = op1(e11,e10)
| ~ spl0_33
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2440,f312]) ).
fof(f2442,plain,
( e10 = e12
| ~ spl0_33
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2441,f74]) ).
fof(f2443,plain,
( $false
| ~ spl0_33
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2442,f18]) ).
fof(f2444,plain,
( ~ spl0_33
| ~ spl0_36
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2443]) ).
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(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(s10,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(sat_conversion,[],[f384]) ).
cnf(s11,plain,
( ~ spl0_21
| ~ spl0_26 ),
inference(sat_conversion,[],[f388]) ).
cnf(s12,plain,
( ~ spl0_22
| ~ spl0_31 ),
inference(sat_conversion,[],[f393]) ).
cnf(s13,plain,
( ~ spl0_23
| ~ spl0_36 ),
inference(sat_conversion,[],[f399]) ).
cnf(s14,plain,
( ~ spl0_24
| ~ spl0_41 ),
inference(sat_conversion,[],[f406]) ).
cnf(s16,plain,
( ~ spl0_21
| spl0_30 ),
inference(sat_conversion,[],[f415]) ).
cnf(s18,plain,
( ~ spl0_16
| spl0_29 ),
inference(sat_conversion,[],[f427]) ).
cnf(s19,plain,
( ~ spl0_17
| ~ spl0_31 ),
inference(sat_conversion,[],[f432]) ).
cnf(s20,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(sat_conversion,[],[f438]) ).
cnf(s21,plain,
( ~ spl0_19
| ~ spl0_41 ),
inference(sat_conversion,[],[f445]) ).
cnf(s25,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(sat_conversion,[],[f466]) ).
cnf(s26,plain,
( ~ spl0_22
| spl0_35 ),
inference(sat_conversion,[],[f467]) ).
cnf(s28,plain,
( ~ spl0_11
| spl0_28 ),
inference(sat_conversion,[],[f480]) ).
cnf(s32,plain,
( ~ spl0_10
| ~ spl0_46 ),
inference(sat_conversion,[],[f500]) ).
cnf(s36,plain,
( ~ spl0_26
| ~ spl0_29 ),
inference(sat_conversion,[],[f515]) ).
cnf(s39,plain,
( ~ spl0_9
| spl0_42 ),
inference(sat_conversion,[],[f531]) ).
cnf(s40,plain,
( ~ spl0_7
| spl0_32 ),
inference(sat_conversion,[],[f536]) ).
cnf(s48,plain,
( ~ spl0_15
| ~ spl0_46 ),
inference(sat_conversion,[],[f591]) ).
cnf(s49,plain,
( spl0_13
| ~ spl0_38 ),
inference(sat_conversion,[],[f604]) ).
cnf(s56,plain,
( ~ spl0_29
| ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f640]) ).
cnf(s58,plain,
( ~ spl0_5
| spl0_46 ),
inference(sat_conversion,[],[f649]) ).
cnf(s59,plain,
( ~ spl0_6
| spl0_27 ),
inference(sat_conversion,[],[f650]) ).
cnf(s61,plain,
( ~ spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f669]) ).
cnf(s62,plain,
( ~ spl0_29
| ~ spl0_42
| ~ spl0_46 ),
inference(sat_conversion,[],[f684]) ).
cnf(s63,plain,
( ~ spl0_4
| spl0_41 ),
inference(sat_conversion,[],[f685]) ).
cnf(s66,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f696]) ).
cnf(s68,plain,
( ~ spl0_15
| spl0_48 ),
inference(sat_conversion,[],[f715]) ).
cnf(s69,plain,
( ~ spl0_3
| spl0_36 ),
inference(sat_conversion,[],[f718]) ).
cnf(s71,plain,
( ~ spl0_14
| spl0_43 ),
inference(sat_conversion,[],[f721]) ).
cnf(s73,plain,
( ~ spl0_7
| ~ spl0_37 ),
inference(sat_conversion,[],[f735]) ).
cnf(s76,plain,
( spl0_8
| ~ spl0_37 ),
inference(sat_conversion,[],[f740]) ).
cnf(s78,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(sat_conversion,[],[f743]) ).
cnf(s80,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(sat_conversion,[],[f765]) ).
cnf(s85,plain,
( ~ spl0_43
| ~ spl0_44 ),
inference(sat_conversion,[],[f790]) ).
cnf(s86,plain,
( ~ spl0_29
| ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f806]) ).
cnf(s91,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f825]) ).
cnf(s95,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_48 ),
inference(sat_conversion,[],[f868]) ).
cnf(s96,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f871]) ).
cnf(s98,plain,
( ~ spl0_25
| ~ spl0_48 ),
inference(sat_conversion,[],[f883]) ).
cnf(s100,plain,
( ~ spl0_34
| ~ spl0_36
| ~ spl0_48 ),
inference(sat_conversion,[],[f889]) ).
cnf(s101,plain,
( ~ spl0_2
| spl0_31 ),
inference(sat_conversion,[],[f890]) ).
cnf(s102,plain,
( ~ spl0_23
| spl0_40 ),
inference(sat_conversion,[],[f892]) ).
cnf(s104,plain,
( ~ spl0_31
| ~ spl0_40
| ~ spl0_48 ),
inference(sat_conversion,[],[f930]) ).
cnf(s109,plain,
( ~ spl0_13
| spl0_38 ),
inference(sat_conversion,[],[f932]) ).
cnf(s111,plain,
( ~ spl0_13
| ~ spl0_48 ),
inference(sat_conversion,[],[f953]) ).
cnf(s114,plain,
( ~ spl0_29
| ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f963]) ).
cnf(s115,plain,
( ~ spl0_32
| ~ spl0_40
| ~ spl0_48 ),
inference(sat_conversion,[],[f965]) ).
cnf(s118,plain,
( ~ spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f966]) ).
cnf(s119,plain,
( ~ spl0_19
| spl0_44 ),
inference(sat_conversion,[],[f969]) ).
cnf(s122,plain,
( ~ spl0_12
| ~ spl0_48 ),
inference(sat_conversion,[],[f992]) ).
cnf(s126,plain,
( ~ spl0_33
| ~ spl0_40
| ~ spl0_46 ),
inference(sat_conversion,[],[f1027]) ).
cnf(s139,plain,
( ~ spl0_32
| ~ spl0_40
| ~ spl0_46 ),
inference(sat_conversion,[],[f1084]) ).
cnf(s140,plain,
( ~ spl0_32
| ~ spl0_38
| ~ spl0_46 ),
inference(sat_conversion,[],[f1102]) ).
cnf(s144,plain,
( ~ spl0_32
| ~ spl0_39
| ~ spl0_46 ),
inference(sat_conversion,[],[f1120]) ).
cnf(s150,plain,
( ~ spl0_33
| ~ spl0_39
| ~ spl0_46 ),
inference(sat_conversion,[],[f1137]) ).
cnf(s151,plain,
( ~ spl0_33
| ~ spl0_37
| ~ spl0_46 ),
inference(sat_conversion,[],[f1143]) ).
cnf(s154,plain,
( ~ spl0_18
| ~ spl0_37 ),
inference(sat_conversion,[],[f1154]) ).
cnf(s163,plain,
( ~ spl0_34
| ~ spl0_37
| ~ spl0_46 ),
inference(sat_conversion,[],[f1215]) ).
cnf(s164,plain,
( spl0_22
| ~ spl0_35 ),
inference(sat_conversion,[],[f1217]) ).
cnf(s165,plain,
( ~ spl0_17
| spl0_34 ),
inference(sat_conversion,[],[f1219]) ).
cnf(s167,plain,
( ~ spl0_35
| ~ spl0_37
| ~ spl0_46 ),
inference(sat_conversion,[],[f1225]) ).
cnf(s171,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f1228]) ).
cnf(s174,plain,
( ~ spl0_2
| ~ spl0_46 ),
inference(sat_conversion,[],[f1249]) ).
cnf(s178,plain,
( spl0_17
| ~ spl0_34 ),
inference(sat_conversion,[],[f1251]) ).
cnf(s184,plain,
( ~ spl0_22
| ~ spl0_34 ),
inference(sat_conversion,[],[f1299]) ).
cnf(s189,plain,
( ~ spl0_19
| ~ spl0_42 ),
inference(sat_conversion,[],[f1310]) ).
cnf(s191,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_46 ),
inference(sat_conversion,[],[f1341]) ).
cnf(s194,plain,
( ~ spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f1347]) ).
cnf(s195,plain,
( ~ spl0_17
| spl0_34 ),
inference(sat_conversion,[],[f1349]) ).
cnf(s198,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_46 ),
inference(sat_conversion,[],[f1371]) ).
cnf(s201,plain,
( spl0_3
| ~ spl0_36 ),
inference(sat_conversion,[],[f1373]) ).
cnf(s204,plain,
( ~ spl0_3
| ~ spl0_46 ),
inference(sat_conversion,[],[f1392]) ).
cnf(s205,plain,
( ~ spl0_17
| ~ spl0_39 ),
inference(sat_conversion,[],[f1397]) ).
cnf(s206,plain,
( ~ spl0_34
| ~ spl0_39
| ~ spl0_46 ),
inference(sat_conversion,[],[f1400]) ).
cnf(s216,plain,
( ~ spl0_22
| ~ spl0_40 ),
inference(sat_conversion,[],[f1408]) ).
cnf(s222,plain,
( ~ spl0_11
| ~ spl0_38 ),
inference(sat_conversion,[],[f1419]) ).
cnf(s225,plain,
( ~ spl0_35
| ~ spl0_38
| ~ spl0_46 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s227,plain,
( spl0_12
| ~ spl0_33 ),
inference(sat_conversion,[],[f1476]) ).
cnf(s228,plain,
( ~ spl0_33
| ~ spl0_38
| ~ spl0_46 ),
inference(sat_conversion,[],[f1483]) ).
cnf(s233,plain,
( ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(sat_conversion,[],[f1492]) ).
cnf(s240,plain,
( ~ spl0_20
| spl0_49 ),
inference(sat_conversion,[],[f1494]) ).
cnf(s249,plain,
~ spl0_49,
inference(sat_conversion,[],[f1579]) ).
cnf(s255,plain,
( ~ spl0_11
| ~ spl0_27 ),
inference(sat_conversion,[],[f1599]) ).
cnf(s264,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_47 ),
inference(sat_conversion,[],[f1620]) ).
cnf(s265,plain,
( ~ spl0_1
| spl0_26 ),
inference(sat_conversion,[],[f1621]) ).
cnf(s270,plain,
( ~ spl0_35
| ~ spl0_38
| ~ spl0_47 ),
inference(sat_conversion,[],[f1656]) ).
cnf(s288,plain,
( ~ spl0_35
| ~ spl0_37
| ~ spl0_48 ),
inference(sat_conversion,[],[f1732]) ).
cnf(s294,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_48 ),
inference(sat_conversion,[],[f1740]) ).
cnf(s301,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_47 ),
inference(sat_conversion,[],[f1782]) ).
cnf(s313,plain,
( ~ spl0_7
| ~ spl0_47 ),
inference(sat_conversion,[],[f1844]) ).
cnf(s315,plain,
( ~ spl0_25
| ~ spl0_47 ),
inference(sat_conversion,[],[f1849]) ).
cnf(s322,plain,
~ spl0_50,
inference(sat_conversion,[],[f1908]) ).
cnf(s331,plain,
( ~ spl0_33
| ~ spl0_39
| ~ spl0_47 ),
inference(sat_conversion,[],[f1929]) ).
cnf(s332,plain,
( ~ spl0_30
| ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f1931]) ).
cnf(s340,plain,
( ~ spl0_24
| spl0_45 ),
inference(sat_conversion,[],[f1934]) ).
cnf(s343,plain,
( ~ spl0_31
| ~ spl0_39
| ~ spl0_47 ),
inference(sat_conversion,[],[f1970]) ).
cnf(s354,plain,
( ~ spl0_31
| ~ spl0_39
| ~ spl0_48 ),
inference(sat_conversion,[],[f1989]) ).
cnf(s366,plain,
( ~ spl0_26
| ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f2063]) ).
cnf(s374,plain,
( ~ spl0_30
| ~ spl0_41
| ~ spl0_48 ),
inference(sat_conversion,[],[f2079]) ).
cnf(s383,plain,
( ~ spl0_30
| ~ spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f2097]) ).
cnf(s392,plain,
( ~ spl0_24
| ~ spl0_44 ),
inference(sat_conversion,[],[f2119]) ).
cnf(s408,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_48 ),
inference(sat_conversion,[],[f2159]) ).
cnf(s426,plain,
( ~ spl0_34
| ~ spl0_36
| ~ spl0_47 ),
inference(sat_conversion,[],[f2214]) ).
cnf(s442,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(sat_conversion,[],[f2238]) ).
cnf(s456,plain,
( ~ spl0_26
| ~ spl0_45
| ~ spl0_47 ),
inference(sat_conversion,[],[f2269]) ).
cnf(s484,plain,
( ~ spl0_28
| ~ spl0_44
| ~ spl0_47 ),
inference(sat_conversion,[],[f2338]) ).
cnf(s492,plain,
( ~ spl0_12
| ~ spl0_31 ),
inference(sat_conversion,[],[f2357]) ).
cnf(s502,plain,
( ~ spl0_26
| ~ spl0_44
| ~ spl0_47 ),
inference(sat_conversion,[],[f2379]) ).
cnf(s518,plain,
( ~ spl0_31
| ~ spl0_38
| ~ spl0_47 ),
inference(sat_conversion,[],[f2414]) ).
cnf(s529,plain,
( ~ spl0_33
| ~ spl0_36
| ~ spl0_47 ),
inference(sat_conversion,[],[f2444]) ).
cnf(s530,plain,
~ spl0_20,
inference(rat,[],[s240,s249]) ).
cnf(s531,plain,
( spl0_46
| spl0_47
| spl0_48 ),
inference(rat,[],[s10,s322,s249]) ).
cnf(s532,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(rat,[],[s4,s530]) ).
cnf(s533,plain,
( spl0_12
| spl0_11
| spl0_14
| spl0_32
| ~ spl0_46
| spl0_31 ),
inference(rat,[],[s7,s225,s233,s109,s3,s227,s48]) ).
cnf(s534,plain,
( ~ spl0_33
| spl0_37
| ~ spl0_46
| spl0_36 ),
inference(rat,[],[s8,s126,s150,s228]) ).
cnf(s535,plain,
( spl0_39
| spl0_38
| spl0_16
| spl0_19
| spl0_37
| ~ spl0_46
| spl0_36 ),
inference(rat,[],[s165,s198,s532,s8,s194]) ).
cnf(s536,plain,
( spl0_8
| spl0_7
| spl0_6
| ~ spl0_46
| spl0_36
| spl0_31 ),
inference(rat,[],[s7,s191,s206,s535,s222,s533,s118,s534,s18,s71,s62,s78,s189,s39,s2,s76,s32,s96]) ).
cnf(s537,plain,
( spl0_7
| spl0_6
| ~ spl0_46
| spl0_36
| spl0_31 ),
inference(rat,[],[s7,s151,s163,s167,s66,s536,s96]) ).
cnf(s538,plain,
( ~ spl0_7
| ~ spl0_46
| spl0_36 ),
inference(rat,[],[s8,s139,s140,s144,s40,s73]) ).
cnf(s539,plain,
( ~ spl0_39
| spl0_33
| spl0_32
| ~ spl0_46
| spl0_31 ),
inference(rat,[],[s7,s191,s206]) ).
cnf(s540,plain,
( spl0_37
| ~ spl0_46
| spl0_36
| spl0_31 ),
inference(rat,[],[s165,s233,s532,s535,s194,s539,s119,s85,s71,s533,s118,s534,s96,s255,s18,s61,s59,s537,s538]) ).
cnf(s541,plain,
( ~ spl0_46
| spl0_36
| spl0_31 ),
inference(rat,[],[s7,s151,s163,s167,s540,s96,s538]) ).
cnf(s542,plain,
( ~ spl0_39
| ~ spl0_35
| spl0_46 ),
inference(rat,[],[s531,s294,s301]) ).
cnf(s543,plain,
( ~ spl0_35
| spl0_37
| spl0_46
| spl0_36 ),
inference(rat,[],[s111,s531,s49,s270,s8,s542,s216,s164]) ).
cnf(s544,plain,
( spl0_34
| spl0_35
| spl0_32
| ~ spl0_41
| spl0_46
| spl0_31 ),
inference(rat,[],[s532,s194,s18,s331,s56,s531,s122,s227,s7,s195,s21]) ).
cnf(s545,plain,
( ~ spl0_40
| ~ spl0_34
| spl0_46 ),
inference(rat,[],[s531,s408,s442]) ).
cnf(s546,plain,
( spl0_37
| spl0_32
| ~ spl0_41
| spl0_36
| spl0_31 ),
inference(rat,[],[s16,s5,s332,s315,s531,s111,s49,s8,s102,s545,s205,s178,s544,s26,s543,s541,s14]) ).
cnf(s547,plain,
( spl0_34
| ~ spl0_37
| spl0_32
| ~ spl0_41
| spl0_46
| spl0_31 ),
inference(rat,[],[s56,s531,s18,s288,s532,s544,s195,s21,s154]) ).
cnf(s548,plain,
( ~ spl0_48
| spl0_23
| spl0_22
| ~ spl0_41 ),
inference(rat,[],[s16,s5,s374,s98,s14]) ).
cnf(s549,plain,
( ~ spl0_34
| ~ spl0_41
| spl0_46 ),
inference(rat,[],[s16,s5,s332,s315,s531,s548,s102,s545,s184,s14]) ).
cnf(s550,plain,
( spl0_32
| ~ spl0_41
| spl0_36
| spl0_31 ),
inference(rat,[],[s547,s546,s549,s541]) ).
cnf(s551,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s102,s115,s548,s531,s26,s313,s80,s96,s550,s63,s1,s58,s541,s201,s171]) ).
cnf(s552,plain,
( ~ spl0_33
| ~ spl0_3 ),
inference(rat,[],[s122,s531,s227,s529,s204,s69]) ).
cnf(s553,plain,
( ~ spl0_35
| ~ spl0_3 ),
inference(rat,[],[s531,s95,s264,s204,s69]) ).
cnf(s554,plain,
( ~ spl0_34
| ~ spl0_3 ),
inference(rat,[],[s531,s100,s426,s204,s69]) ).
cnf(s555,plain,
( ~ spl0_44
| ~ spl0_48
| spl0_22
| spl0_23 ),
inference(rat,[],[s16,s5,s383,s392,s98]) ).
cnf(s556,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s5,s16,s340,s25,s114,s18,s532,s119,s555,s98,s531,s313,s96,s7,s195,s554,s26,s553,s552,s13,s20,s69,s204,s551,s171]) ).
cnf(s557,plain,
( ~ spl0_48
| ~ spl0_31 ),
inference(rat,[],[s5,s16,s340,s25,s114,s18,s532,s119,s555,s102,s194,s104,s354,s98,s19,s12]) ).
cnf(s558,plain,
( ~ spl0_44
| ~ spl0_2 ),
inference(rat,[],[s3,s71,s28,s85,s484,s492,s68,s109,s518,s531,s557,s174,s101]) ).
cnf(s559,plain,
~ spl0_2,
inference(rat,[],[s3,s71,s28,s86,s91,s18,s532,s119,s558,s194,s109,s343,s518,s531,s68,s557,s19,s492,s101,s174]) ).
cnf(s560,plain,
~ spl0_31,
inference(rat,[],[s171,s559]) ).
cnf(s561,plain,
spl0_1,
inference(rat,[],[s556,s559]) ).
cnf(s562,plain,
spl0_26,
inference(rat,[],[s265,s561]) ).
cnf(s567,plain,
~ spl0_29,
inference(rat,[],[s36,s562]) ).
cnf(s568,plain,
~ spl0_21,
inference(rat,[],[s11,s562]) ).
cnf(s569,plain,
~ spl0_16,
inference(rat,[],[s18,s567]) ).
cnf(s571,plain,
~ spl0_46,
inference(rat,[],[s201,s541,s204,s560]) ).
cnf(s573,plain,
( ~ spl0_35
| ~ spl0_48
| spl0_36 ),
inference(rat,[],[s543,s288,s571]) ).
cnf(s574,plain,
( ~ spl0_48
| spl0_32
| spl0_36 ),
inference(rat,[],[s102,s545,s5,s7,s26,s573,s340,s227,s366,s98,s122,s571,s568,s560,s562]) ).
cnf(s575,plain,
( spl0_34
| ~ spl0_47
| spl0_32 ),
inference(rat,[],[s7,s301,s331,s194,s532,s195,s119,s502,s560,s569,s562]) ).
cnf(s576,plain,
( spl0_32
| spl0_36 ),
inference(rat,[],[s102,s5,s545,s184,s575,s340,s456,s315,s531,s574,s562,s571,s568]) ).
cnf(s577,plain,
~ spl0_32,
inference(rat,[],[s5,s340,s102,s366,s115,s98,s531,s26,s313,s80,s96,s568,s562,s571]) ).
cnf(s579,plain,
spl0_36,
inference(rat,[],[s576,s577]) ).
cnf(s580,plain,
spl0_3,
inference(rat,[],[s201,s579]) ).
cnf(s585,plain,
~ spl0_33,
inference(rat,[],[s552,s580]) ).
cnf(s586,plain,
~ spl0_35,
inference(rat,[],[s553,s580]) ).
cnf(s587,plain,
~ spl0_34,
inference(rat,[],[s554,s580]) ).
cnf(s594,plain,
$false,
inference(rat,[],[s7,s585,s577,s560,s587,s586]) ).
fof(f2445,plain,
$false,
inference(avatar_sat_refutation,[],[s594]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG181+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n020.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 19:39:49 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.33 % (458032)Will run a generic schedule for satisfiability detection.
% 0.19/0.33 % (458039)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=415949049:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.33 % (458038)% WARNING: option uhcvi not known.
% 0.19/0.33 % (458038)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1298947119:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.33 % (458037)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=857241749_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.33 % (458042)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3766868897:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.33 % (458040)dis+10_1_sil=32000:sp=arity:random_seed=1623058663:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.33 % (458041)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1748720312:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.33 % (458043)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=734201302:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.33 % Detected minimum model sizes of [10]
% 0.19/0.33 % Detected maximum model sizes of [max]
% 0.19/0.33 % TRYING [10]
% 0.19/0.33 % (458041) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-458032-458041"...
% 0.19/0.33 % (458041)...printing done.
% 0.19/0.33 % (458041)Refutation found. Thanks to Tanya!
% 0.19/0.33 % SZS status Theorem for theBenchmark
% 0.19/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.34 % (458041)------------------------------
% 0.19/0.34 % (458041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34 % (458041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34 % (458041)CaDiCaL version: 2.1.3
% 0.19/0.34 % (458041)Termination reason: Refutation
% 0.19/0.34 % (458041)Time elapsed: 0.047 s
% 0.19/0.34 % (458041)Peak memory usage: 13 MB
% 0.19/0.34 % (458041)Instructions burned: 85 (million)
% 0.19/0.34 % (458032)Success in time 0.097 s
% 0.19/0.34 % Vampire exiting
%------------------------------------------------------------------------------