%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG182+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 09:28:50 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 : 817 ( 92 unt; 50 def)
% Number of atoms : 2568 ( 967 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 3014 (1263 ~;1359 |; 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) = e22
& op2(e20,e24) = e21
& op2(e21,e20) = e22
& op2(e21,e21) = e21
& op2(e21,e22) = e23
& op2(e21,e23) = e24
& op2(e21,e24) = e20
& op2(e22,e20) = e21
& op2(e22,e21) = e24
& op2(e22,e22) = e22
& op2(e22,e23) = e20
& op2(e22,e24) = e23
& op2(e23,e20) = e24
& op2(e23,e21) = e20
& op2(e23,e22) = e21
& op2(e23,e23) = e23
& op2(e23,e24) = e22
& op2(e24,e20) = e23
& op2(e24,e21) = e22
& op2(e24,e22) = e20
& op2(e24,e23) = e21
& 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(f20,plain,
e23 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
e22 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f22,plain,
e22 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f25,plain,
e21 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f28,plain,
e20 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(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(f79,plain,
e13 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f80,plain,
e24 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e21 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
e20 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
e22 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
e23 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f85,plain,
e22 = op2(e23,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f86,plain,
e23 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
fof(f106,plain,
( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f107,plain,
( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f108,plain,
( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f109,plain,
( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) ),
inference(cnf_transformation,[],[f9]) ).
fof(f111,plain,
( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f112,plain,
( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
fof(f113,plain,
( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
fof(f114,plain,
( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f115,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f116,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f117,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f118,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f119,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f120,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f121,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f122,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f123,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f125,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f126,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f127,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f128,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f129,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f130,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f131,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f176,definition,
( spl0_1
<=> e20 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(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(f206,plain,
( e22 != h(e11)
| spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f207,plain,
( e22 = h(e11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_9
<=> e23 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f211,plain,
( e23 = h(e11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_10
<=> e24 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f215,plain,
( e24 = h(e11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f106,f213,f209,f205,f201,f197]) ).
fof(f218,definition,
( spl0_11
<=> e20 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f220,plain,
( e20 = h(e12)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_12
<=> e21 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f223,plain,
( e21 != h(e12)
| spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f224,plain,
( e21 = h(e12)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl0_13
<=> e22 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f228,plain,
( e22 = h(e12)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl0_14
<=> e23 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f232,plain,
( e23 = h(e12)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl0_15
<=> e24 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f236,plain,
( e24 = h(e12)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f107,f234,f230,f226,f222,f218]) ).
fof(f239,definition,
( spl0_16
<=> e20 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f241,plain,
( e20 = h(e13)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f243,definition,
( spl0_17
<=> e21 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f244,plain,
( e21 != h(e13)
| spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f245,plain,
( e21 = h(e13)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl0_18
<=> e22 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(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(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(f311,plain,
( e12 != j(e21)
| spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f312,plain,
( e12 = j(e21)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl0_34
<=> e13 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f316,plain,
( e13 = j(e21)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl0_35
<=> e14 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f320,plain,
( e14 = j(e21)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f111,f318,f314,f310,f306,f302]) ).
fof(f323,definition,
( spl0_36
<=> e10 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f325,plain,
( e10 = j(e22)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl0_37
<=> e11 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f329,plain,
( e11 = j(e22)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl0_38
<=> e12 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f333,plain,
( e12 = j(e22)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl0_39
<=> e13 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f337,plain,
( e13 = j(e22)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl0_40
<=> e14 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f341,plain,
( e14 = j(e22)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f339]) ).
fof(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(f353,plain,
( e12 != j(e23)
| spl0_43 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f354,plain,
( e12 = j(e23)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f356,definition,
( spl0_44
<=> e13 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f358,plain,
( e13 = j(e23)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl0_45
<=> e14 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f362,plain,
( e14 = j(e23)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f113,f360,f356,f352,f348,f344]) ).
fof(f365,definition,
( spl0_46
<=> e10 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f367,plain,
( e10 = j(e24)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl0_47
<=> e11 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f371,plain,
( e11 = j(e24)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f373,definition,
( spl0_48
<=> e12 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f375,plain,
( e12 = j(e24)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f377,definition,
( spl0_49
<=> e13 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f379,plain,
( e13 = j(e24)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f381,definition,
( spl0_50
<=> e14 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f383,plain,
( e14 = j(e24)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f384,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f114,f381,f377,f373,f369,f365]) ).
fof(f385,plain,
( e14 = j(e20)
| ~ spl0_21 ),
inference(superposition,[],[f115,f262]) ).
fof(f386,plain,
( e10 = e14
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f385,f283]) ).
fof(f387,plain,
( $false
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f386,f16]) ).
fof(f388,plain,
( ~ spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f390,plain,
( e14 = j(e21)
| ~ spl0_22 ),
inference(superposition,[],[f115,f266]) ).
fof(f391,plain,
( e10 = e14
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_demodulation,[],[f390,f304]) ).
fof(f392,plain,
( $false
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f391,f16]) ).
fof(f393,plain,
( ~ spl0_22
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f396,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f397,plain,
( e10 = e14
| ~ spl0_23
| ~ spl0_36 ),
inference(forward_demodulation,[],[f396,f325]) ).
fof(f398,plain,
( $false
| ~ spl0_23
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f397,f16]) ).
fof(f399,plain,
( ~ spl0_23
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f403,plain,
( e14 = j(e23)
| ~ spl0_24 ),
inference(superposition,[],[f115,f274]) ).
fof(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(f417,plain,
( e11 = e14
| ~ spl0_27
| ~ spl0_30 ),
inference(forward_demodulation,[],[f299,f287]) ).
fof(f418,plain,
( $false
| ~ spl0_27
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f417,f13]) ).
fof(f419,plain,
( ~ spl0_27
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f426,plain,
( e13 = j(e20)
| ~ spl0_16 ),
inference(superposition,[],[f116,f241]) ).
fof(f427,plain,
( spl0_29
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f426,f239,f293]) ).
fof(f429,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(superposition,[],[f116,f245]) ).
fof(f430,plain,
( e10 = e13
| ~ spl0_17
| ~ spl0_31 ),
inference(forward_demodulation,[],[f429,f304]) ).
fof(f431,plain,
( $false
| ~ spl0_17
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f430,f17]) ).
fof(f432,plain,
( ~ spl0_17
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f435,plain,
( e13 = j(e22)
| ~ spl0_18 ),
inference(superposition,[],[f116,f249]) ).
fof(f436,plain,
( e10 = e13
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_demodulation,[],[f435,f325]) ).
fof(f437,plain,
( $false
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f436,f17]) ).
fof(f438,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f442,plain,
( e13 = j(e23)
| ~ spl0_19 ),
inference(superposition,[],[f116,f253]) ).
fof(f450,plain,
( e13 = j(e24)
| ~ spl0_20 ),
inference(superposition,[],[f116,f257]) ).
fof(f459,plain,
( e13 = e14
| ~ spl0_29
| ~ spl0_30 ),
inference(superposition,[],[f295,f299]) ).
fof(f465,plain,
( $false
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f459,f10]) ).
fof(f466,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f465]) ).
fof(f467,plain,
( spl0_35
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f390,f264,f318]) ).
fof(f470,plain,
( e12 = e14
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_demodulation,[],[f320,f312]) ).
fof(f471,plain,
( $false
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f470,f11]) ).
fof(f472,plain,
( ~ spl0_33
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f479,plain,
( e12 = j(e20)
| ~ spl0_11 ),
inference(superposition,[],[f117,f220]) ).
fof(f480,plain,
( spl0_28
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f479,f218,f289]) ).
fof(f482,plain,
( e12 = j(e22)
| ~ spl0_13 ),
inference(superposition,[],[f117,f228]) ).
fof(f488,plain,
( e12 = j(e23)
| ~ spl0_14 ),
inference(superposition,[],[f117,f232]) ).
fof(f489,plain,
( e10 = e12
| ~ spl0_14
| ~ spl0_41 ),
inference(forward_demodulation,[],[f488,f346]) ).
fof(f490,plain,
( $false
| ~ spl0_14
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f489,f18]) ).
fof(f491,plain,
( ~ spl0_14
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f493,plain,
( e11 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f118,f199]) ).
fof(f497,plain,
( e11 = j(e24)
| ~ spl0_10 ),
inference(superposition,[],[f118,f215]) ).
fof(f498,plain,
( e10 = e11
| ~ spl0_10
| ~ spl0_46 ),
inference(forward_demodulation,[],[f497,f367]) ).
fof(f499,plain,
( $false
| ~ spl0_10
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f498,f19]) ).
fof(f500,plain,
( ~ spl0_10
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f502,plain,
( e10 = j(e21)
| ~ spl0_2 ),
inference(superposition,[],[f119,f182]) ).
fof(f506,plain,
( e10 = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f119,f178]) ).
fof(f509,plain,
( e10 = e13
| ~ spl0_26
| ~ spl0_29 ),
inference(superposition,[],[f283,f295]) ).
fof(f514,plain,
( $false
| ~ spl0_26
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f509,f17]) ).
fof(f515,plain,
( ~ spl0_26
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f519,plain,
( e10 = j(e23)
| ~ spl0_4 ),
inference(superposition,[],[f119,f190]) ).
fof(f525,plain,
( e10 = j(e24)
| ~ spl0_5 ),
inference(superposition,[],[f119,f194]) ).
fof(f530,plain,
( e11 = j(e23)
| ~ spl0_9 ),
inference(superposition,[],[f118,f211]) ).
fof(f531,plain,
( spl0_42
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f530,f209,f348]) ).
fof(f535,plain,
( e11 = j(e21)
| ~ spl0_7 ),
inference(superposition,[],[f118,f203]) ).
fof(f536,plain,
( spl0_32
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f535,f201,f306]) ).
fof(f541,plain,
( e11 = j(e22)
| ~ spl0_8 ),
inference(superposition,[],[f118,f207]) ).
fof(f542,plain,
( e10 = e11
| ~ spl0_8
| ~ spl0_36 ),
inference(forward_demodulation,[],[f541,f325]) ).
fof(f543,plain,
( $false
| ~ spl0_8
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f542,f19]) ).
fof(f544,plain,
( ~ spl0_8
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f543]) ).
fof(f553,plain,
( e24 = h(e10)
| ~ spl0_46 ),
inference(superposition,[],[f120,f367]) ).
fof(f554,plain,
( e23 = h(e12)
| ~ spl0_43 ),
inference(superposition,[],[f121,f354]) ).
fof(f561,plain,
( j(op2(e24,e23)) = op1(e10,j(e23))
| ~ spl0_46 ),
inference(superposition,[],[f126,f367]) ).
fof(f564,plain,
( op1(e10,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f561,f354]) ).
fof(f566,plain,
( op1(e10,e12) = j(e21)
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f564,f81]) ).
fof(f568,plain,
( e14 = op1(e10,e12)
| ~ spl0_35
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f566,f320]) ).
fof(f570,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f568,f77]) ).
fof(f573,plain,
( $false
| ~ spl0_35
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f570,f16]) ).
fof(f574,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f573]) ).
fof(f575,plain,
( e11 = e12
| ~ spl0_13
| ~ spl0_37 ),
inference(forward_demodulation,[],[f482,f329]) ).
fof(f578,plain,
( op1(e10,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_46 ),
inference(forward_demodulation,[],[f561,f346]) ).
fof(f579,plain,
( $false
| ~ spl0_13
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f575,f15]) ).
fof(f580,plain,
( ~ spl0_13
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f579]) ).
fof(f581,plain,
( op1(e10,e10) = j(e21)
| ~ spl0_41
| ~ spl0_46 ),
inference(forward_demodulation,[],[f578,f81]) ).
fof(f582,plain,
( e14 = op1(e10,e10)
| ~ spl0_35
| ~ spl0_41
| ~ spl0_46 ),
inference(forward_demodulation,[],[f581,f320]) ).
fof(f583,plain,
( e13 = e14
| ~ spl0_35
| ~ spl0_41
| ~ spl0_46 ),
inference(forward_demodulation,[],[f582,f79]) ).
fof(f584,plain,
( $false
| ~ spl0_35
| ~ spl0_41
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f583,f10]) ).
fof(f585,plain,
( ~ spl0_35
| ~ spl0_41
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f584]) ).
fof(f597,plain,
( op1(e10,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f561,f350]) ).
fof(f599,plain,
( op1(e10,e11) = j(e21)
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f597,f81]) ).
fof(f600,plain,
( e14 = op1(e10,e11)
| ~ spl0_35
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f599,f320]) ).
fof(f601,plain,
( e12 = e14
| ~ spl0_35
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_demodulation,[],[f600,f78]) ).
fof(f602,plain,
( $false
| ~ spl0_35
| ~ spl0_42
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f601,f11]) ).
fof(f603,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f602]) ).
fof(f611,plain,
( e12 = j(e24)
| ~ spl0_15 ),
inference(superposition,[],[f117,f236]) ).
fof(f612,plain,
( e10 = e12
| ~ spl0_15
| ~ spl0_46 ),
inference(forward_demodulation,[],[f611,f367]) ).
fof(f613,plain,
( $false
| ~ spl0_15
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f612,f18]) ).
fof(f614,plain,
( ~ spl0_15
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f613]) ).
fof(f615,plain,
( spl0_41
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f519,f188,f344]) ).
fof(f621,plain,
( e22 = h(e11)
| ~ spl0_37 ),
inference(superposition,[],[f122,f329]) ).
fof(f634,plain,
( j(op2(e24,e23)) = op1(j(e24),e10)
| ~ spl0_41 ),
inference(superposition,[],[f126,f346]) ).
fof(f635,plain,
( e23 = h(e10)
| ~ spl0_41 ),
inference(superposition,[],[f121,f346]) ).
fof(f636,plain,
( op1(e12,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f634,f375]) ).
fof(f637,plain,
( op1(e12,e10) = j(e21)
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f636,f81]) ).
fof(f638,plain,
( e14 = op1(e12,e10)
| ~ spl0_35
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f637,f320]) ).
fof(f639,plain,
( e11 = e14
| ~ spl0_35
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f638,f69]) ).
fof(f640,plain,
( $false
| ~ spl0_35
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f639,f13]) ).
fof(f641,plain,
( ~ spl0_35
| ~ spl0_41
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f653,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f119,f186]) ).
fof(f656,plain,
( spl0_27
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f493,f197,f285]) ).
fof(f669,plain,
( e11 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f118,f199]) ).
fof(f683,plain,
( e11 = e14
| ~ spl0_32
| ~ spl0_35 ),
inference(superposition,[],[f308,f320]) ).
fof(f684,plain,
( e21 = h(e11)
| ~ spl0_32 ),
inference(superposition,[],[f123,f308]) ).
fof(f690,plain,
( $false
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f683,f13]) ).
fof(f691,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f692,plain,
( spl0_46
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f525,f192,f365]) ).
fof(f693,plain,
( spl0_37
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f541,f205,f327]) ).
fof(f710,plain,
( e12 = e13
| ~ spl0_28
| ~ spl0_29 ),
inference(superposition,[],[f291,f295]) ).
fof(f712,plain,
( e12 = e13
| ~ spl0_28
| ~ spl0_29 ),
inference(superposition,[],[f295,f291]) ).
fof(f713,plain,
( $false
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f712,f12]) ).
fof(f714,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f713]) ).
fof(f715,plain,
( $false
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f710,f12]) ).
fof(f716,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f717,plain,
( spl0_36
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f653,f184,f323]) ).
fof(f719,plain,
( spl0_47
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f497,f213,f369]) ).
fof(f725,plain,
( $false
| spl0_8
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f621,f206]) ).
fof(f726,plain,
( spl0_8
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f725]) ).
fof(f741,plain,
( e22 = h(e10)
| ~ spl0_36 ),
inference(superposition,[],[f122,f325]) ).
fof(f753,plain,
( spl0_14
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f554,f352,f230]) ).
fof(f761,plain,
( e12 = j(e23)
| ~ spl0_14 ),
inference(superposition,[],[f117,f232]) ).
fof(f768,plain,
( j(op2(e24,e23)) = op1(j(e24),e12)
| ~ spl0_43 ),
inference(superposition,[],[f126,f354]) ).
fof(f787,plain,
( op1(e11,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f768,f371]) ).
fof(f788,plain,
( op1(e11,e12) = j(e21)
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f787,f81]) ).
fof(f789,plain,
( e14 = op1(e11,e12)
| ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f788,f320]) ).
fof(f790,plain,
( e11 = e14
| ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f789,f72]) ).
fof(f791,plain,
( $false
| ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f790,f13]) ).
fof(f792,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f791]) ).
fof(f795,plain,
( $false
| ~ spl0_14
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f488,f353]) ).
fof(f796,plain,
( ~ spl0_14
| spl0_43 ),
inference(avatar_contradiction_clause,[],[f795]) ).
fof(f803,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
fof(f804,plain,
( $false
| ~ spl0_12
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f803,f311]) ).
fof(f805,plain,
( ~ spl0_12
| spl0_33 ),
inference(avatar_contradiction_clause,[],[f804]) ).
fof(f806,plain,
( spl0_38
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f482,f226,f331]) ).
fof(f821,plain,
( j(op2(e24,e23)) = op1(j(e24),e10)
| ~ spl0_41 ),
inference(superposition,[],[f126,f346]) ).
fof(f823,plain,
( op1(e11,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f821,f371]) ).
fof(f824,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f823,f81]) ).
fof(f825,plain,
( e14 = op1(e11,e10)
| ~ spl0_35
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f824,f320]) ).
fof(f826,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f825,f74]) ).
fof(f827,plain,
( $false
| ~ spl0_35
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f826,f16]) ).
fof(f828,plain,
( ~ spl0_35
| ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f827]) ).
fof(f829,plain,
( e10 = e11
| ~ spl0_9
| ~ spl0_41 ),
inference(forward_demodulation,[],[f530,f346]) ).
fof(f836,plain,
( $false
| ~ spl0_9
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f829,f19]) ).
fof(f837,plain,
( ~ spl0_9
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f846,plain,
( spl0_48
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f611,f234,f373]) ).
fof(f849,plain,
( e11 = e12
| ~ spl0_47
| ~ spl0_48 ),
inference(forward_demodulation,[],[f375,f371]) ).
fof(f856,plain,
( $false
| ~ spl0_47
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f849,f15]) ).
fof(f857,plain,
( ~ spl0_47
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f856]) ).
fof(f859,plain,
( spl0_34
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f429,f243,f314]) ).
fof(f882,plain,
( e13 = e14
| ~ spl0_34
| ~ spl0_35 ),
inference(superposition,[],[f316,f320]) ).
fof(f889,plain,
( $false
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f882,f10]) ).
fof(f890,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f911,plain,
( spl0_45
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f403,f272,f360]) ).
fof(f922,plain,
( spl0_31
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f502,f180,f302]) ).
fof(f924,plain,
( spl0_39
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f435,f247,f335]) ).
fof(f934,plain,
( spl0_44
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f442,f251,f356]) ).
fof(f948,plain,
( e11 = e12
| ~ spl0_14
| ~ spl0_42 ),
inference(forward_demodulation,[],[f761,f350]) ).
fof(f961,plain,
( $false
| ~ spl0_14
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f948,f15]) ).
fof(f962,plain,
( ~ spl0_14
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f961]) ).
fof(f1000,plain,
( j(op2(e24,e23)) = op1(j(e24),e11)
| ~ spl0_42 ),
inference(superposition,[],[f126,f350]) ).
fof(f1001,plain,
( e23 = h(e11)
| ~ spl0_42 ),
inference(superposition,[],[f121,f350]) ).
fof(f1010,plain,
( op1(e12,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1000,f375]) ).
fof(f1011,plain,
( op1(e12,e11) = j(e21)
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1010,f81]) ).
fof(f1012,plain,
( e14 = op1(e12,e11)
| ~ spl0_35
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1011,f320]) ).
fof(f1013,plain,
( e13 = e14
| ~ spl0_35
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1012,f68]) ).
fof(f1014,plain,
( $false
| ~ spl0_35
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1013,f10]) ).
fof(f1015,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1014]) ).
fof(f1017,plain,
( spl0_49
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f450,f255,f377]) ).
fof(f1031,plain,
( spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f506,f176,f281]) ).
fof(f1051,plain,
( e12 = j(e20)
| ~ spl0_11 ),
inference(superposition,[],[f117,f220]) ).
fof(f1056,plain,
( e10 = e12
| ~ spl0_26
| ~ spl0_28 ),
inference(superposition,[],[f291,f283]) ).
fof(f1061,plain,
( $false
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1056,f18]) ).
fof(f1062,plain,
( ~ spl0_26
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1061]) ).
fof(f1074,plain,
( e12 = e13
| ~ spl0_38
| ~ spl0_39 ),
inference(superposition,[],[f337,f333]) ).
fof(f1077,plain,
( e22 = h(e13)
| ~ spl0_39 ),
inference(superposition,[],[f122,f337]) ).
fof(f1080,plain,
( $false
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1074,f12]) ).
fof(f1081,plain,
( ~ spl0_38
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1080]) ).
fof(f1083,plain,
( spl0_43
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f488,f230,f352]) ).
fof(f1150,plain,
( e24 = h(e12)
| ~ spl0_48 ),
inference(superposition,[],[f120,f375]) ).
fof(f1179,plain,
( e10 = e11
| ~ spl0_6
| ~ spl0_26 ),
inference(forward_demodulation,[],[f669,f283]) ).
fof(f1182,plain,
( spl0_40
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f396,f268,f339]) ).
fof(f1194,plain,
( $false
| ~ spl0_6
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1179,f19]) ).
fof(f1195,plain,
( ~ spl0_6
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1194]) ).
fof(f1253,plain,
( op1(e13,e13) = j(op2(e23,e23))
| ~ spl0_44 ),
inference(superposition,[],[f131,f358]) ).
fof(f1254,plain,
( op1(e13,e13) = j(e23)
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1253,f86]) ).
fof(f1255,plain,
( e13 = op1(e13,e13)
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1254,f358]) ).
fof(f1256,plain,
( e10 = e13
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1255,f61]) ).
fof(f1257,plain,
( $false
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1256,f17]) ).
fof(f1258,plain,
~ spl0_44,
inference(avatar_contradiction_clause,[],[f1257]) ).
fof(f1262,plain,
( e11 = e12
| ~ spl0_11
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1051,f287]) ).
fof(f1281,plain,
( $false
| ~ spl0_11
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1262,f15]) ).
fof(f1282,plain,
( ~ spl0_11
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1281]) ).
fof(f1313,plain,
( e22 = h(e12)
| ~ spl0_38 ),
inference(superposition,[],[f122,f333]) ).
fof(f1371,plain,
( spl0_50
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f411,f276,f381]) ).
fof(f1375,plain,
( e20 = e23
| ~ spl0_6
| ~ spl0_42 ),
inference(forward_demodulation,[],[f1001,f199]) ).
fof(f1391,plain,
( $false
| ~ spl0_6
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1375,f27]) ).
fof(f1392,plain,
( ~ spl0_6
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f1391]) ).
fof(f1422,plain,
( spl0_33
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f803,f222,f310]) ).
fof(f1439,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
fof(f1441,plain,
( e21 = h(e12)
| ~ spl0_33 ),
inference(superposition,[],[f123,f312]) ).
fof(f1493,plain,
( e21 = h(e13)
| ~ spl0_34 ),
inference(superposition,[],[f123,f316]) ).
fof(f1526,plain,
( e22 = e24
| ~ spl0_3
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f186]) ).
fof(f1539,plain,
( $false
| ~ spl0_3
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1526,f21]) ).
fof(f1540,plain,
( ~ spl0_3
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1539]) ).
fof(f1549,plain,
( e13 = e14
| ~ spl0_39
| ~ spl0_40 ),
inference(forward_demodulation,[],[f341,f337]) ).
fof(f1564,plain,
( $false
| spl0_17
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1493,f244]) ).
fof(f1565,plain,
( spl0_17
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1564]) ).
fof(f1568,plain,
( $false
| ~ spl0_39
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1549,f10]) ).
fof(f1569,plain,
( ~ spl0_39
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1568]) ).
fof(f1591,plain,
( e10 = e12
| ~ spl0_12
| ~ spl0_31 ),
inference(forward_demodulation,[],[f1439,f304]) ).
fof(f1608,plain,
( $false
| ~ spl0_12
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f1591,f18]) ).
fof(f1609,plain,
( ~ spl0_12
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f1608]) ).
fof(f1651,plain,
( j(op2(e24,e21)) = op1(j(e24),e13)
| ~ spl0_34 ),
inference(superposition,[],[f128,f316]) ).
fof(f1653,plain,
( op1(e10,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1651,f367]) ).
fof(f1654,plain,
( op1(e10,e13) = j(e22)
| ~ spl0_34
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1653,f83]) ).
fof(f1655,plain,
( e14 = op1(e10,e13)
| ~ spl0_34
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1654,f341]) ).
fof(f1656,plain,
( e11 = e14
| ~ spl0_34
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1655,f76]) ).
fof(f1657,plain,
( $false
| ~ spl0_34
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1656,f13]) ).
fof(f1658,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1657]) ).
fof(f1660,plain,
( e21 = e22
| ~ spl0_17
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1077,f245]) ).
fof(f1664,plain,
( e13 = op1(e10,e13)
| ~ spl0_34
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1654,f337]) ).
fof(f1671,plain,
( $false
| ~ spl0_17
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1660,f25]) ).
fof(f1672,plain,
( ~ spl0_17
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1671]) ).
fof(f1673,plain,
( e11 = e13
| ~ spl0_34
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1664,f76]) ).
fof(f1674,plain,
( $false
| ~ spl0_34
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1673,f14]) ).
fof(f1675,plain,
( ~ spl0_34
| ~ spl0_39
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1674]) ).
fof(f1676,plain,
( spl0_3
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f741,f323,f184]) ).
fof(f1685,plain,
( e12 = op1(e10,e13)
| ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1654,f333]) ).
fof(f1686,plain,
( e11 = e12
| ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1685,f76]) ).
fof(f1687,plain,
( $false
| ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1686,f15]) ).
fof(f1688,plain,
( ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1687]) ).
fof(f1709,plain,
( $false
| spl0_7
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f684,f202]) ).
fof(f1710,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1709]) ).
fof(f1729,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f1731,plain,
( op1(e10,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1729,f367]) ).
fof(f1732,plain,
( op1(e10,e11) = j(e20)
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1731,f82]) ).
fof(f1733,plain,
( e14 = op1(e10,e11)
| ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1732,f299]) ).
fof(f1734,plain,
( e12 = e14
| ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1733,f78]) ).
fof(f1735,plain,
( $false
| ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1734,f11]) ).
fof(f1736,plain,
( ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1735]) ).
fof(f1783,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
fof(f1804,plain,
( e21 = e22
| ~ spl0_12
| ~ spl0_38 ),
inference(forward_demodulation,[],[f1313,f224]) ).
fof(f1815,plain,
( $false
| ~ spl0_12
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1804,f25]) ).
fof(f1816,plain,
( ~ spl0_12
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f1815]) ).
fof(f1817,plain,
( $false
| spl0_12
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f1441,f223]) ).
fof(f1818,plain,
( spl0_12
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f1817]) ).
fof(f1839,plain,
( e11 = e12
| ~ spl0_12
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1783,f308]) ).
fof(f1852,plain,
( $false
| ~ spl0_12
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1839,f15]) ).
fof(f1853,plain,
( ~ spl0_12
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1852]) ).
fof(f1889,plain,
( e20 = e24
| ~ spl0_1
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f178]) ).
fof(f1892,plain,
( $false
| ~ spl0_1
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1889,f26]) ).
fof(f1893,plain,
( ~ spl0_1
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1892]) ).
fof(f1896,plain,
( e12 = e14
| ~ spl0_28
| ~ spl0_30 ),
inference(forward_demodulation,[],[f299,f291]) ).
fof(f1904,plain,
( e21 = e24
| ~ spl0_2
| ~ spl0_46 ),
inference(forward_demodulation,[],[f553,f182]) ).
fof(f1907,plain,
( $false
| ~ spl0_28
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1896,f11]) ).
fof(f1908,plain,
( ~ spl0_28
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1907]) ).
fof(f1909,plain,
( $false
| ~ spl0_2
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1904,f23]) ).
fof(f1910,plain,
( ~ spl0_2
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1909]) ).
fof(f1935,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f1937,plain,
( op1(e10,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1935,f367]) ).
fof(f1938,plain,
( op1(e10,e12) = j(e22)
| ~ spl0_33
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1937,f83]) ).
fof(f1939,plain,
( e13 = op1(e10,e12)
| ~ spl0_33
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1938,f337]) ).
fof(f1940,plain,
( e10 = e13
| ~ spl0_33
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1939,f77]) ).
fof(f1941,plain,
( $false
| ~ spl0_33
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1940,f17]) ).
fof(f1942,plain,
( ~ spl0_33
| ~ spl0_39
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1941]) ).
fof(f1945,plain,
( e14 = op1(e10,e12)
| ~ spl0_33
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1938,f341]) ).
fof(f1951,plain,
( e10 = e14
| ~ spl0_33
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1945,f77]) ).
fof(f1952,plain,
( $false
| ~ spl0_33
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1951,f16]) ).
fof(f1953,plain,
( ~ spl0_33
| ~ spl0_40
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f1952]) ).
fof(f1965,plain,
( e21 = e23
| ~ spl0_7
| ~ spl0_42 ),
inference(forward_demodulation,[],[f1001,f203]) ).
fof(f1967,plain,
( $false
| ~ spl0_7
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1965,f24]) ).
fof(f1968,plain,
( ~ spl0_7
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f1967]) ).
fof(f1986,plain,
( j(op2(e24,e20)) = op1(j(e24),e13)
| ~ spl0_29 ),
inference(superposition,[],[f129,f295]) ).
fof(f1990,plain,
( op1(e10,e13) = j(op2(e24,e20))
| ~ spl0_29
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1986,f367]) ).
fof(f1991,plain,
( op1(e10,e13) = j(e23)
| ~ spl0_29
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1990,f84]) ).
fof(f1995,plain,
( e21 = h(e10)
| ~ spl0_31 ),
inference(superposition,[],[f123,f304]) ).
fof(f1996,plain,
( $false
| spl0_2
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f1995,f181]) ).
fof(f1997,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f1996]) ).
fof(f2008,plain,
( e12 = op1(e10,e13)
| ~ spl0_29
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1991,f354]) ).
fof(f2011,plain,
( e11 = e12
| ~ spl0_29
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2008,f76]) ).
fof(f2012,plain,
( $false
| ~ spl0_29
| ~ spl0_43
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2011,f15]) ).
fof(f2013,plain,
( ~ spl0_29
| ~ spl0_43
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2012]) ).
fof(f2045,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f2047,plain,
( op1(e10,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2045,f367]) ).
fof(f2048,plain,
( op1(e10,e11) = j(e22)
| ~ spl0_32
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2047,f83]) ).
fof(f2049,plain,
( e13 = op1(e10,e11)
| ~ spl0_32
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2048,f337]) ).
fof(f2050,plain,
( e12 = e13
| ~ spl0_32
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2049,f78]) ).
fof(f2051,plain,
( $false
| ~ spl0_32
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2050,f12]) ).
fof(f2052,plain,
( ~ spl0_32
| ~ spl0_39
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2051]) ).
fof(f2057,plain,
( e12 = e14
| ~ spl0_38
| ~ spl0_40 ),
inference(forward_demodulation,[],[f341,f333]) ).
fof(f2058,plain,
( spl0_4
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f635,f344,f188]) ).
fof(f2068,plain,
( $false
| ~ spl0_38
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f2057,f11]) ).
fof(f2069,plain,
( ~ spl0_38
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f2068]) ).
fof(f2074,plain,
( op1(e12,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2045,f375]) ).
fof(f2077,plain,
( op1(e12,e11) = j(e22)
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2074,f83]) ).
fof(f2078,plain,
( e14 = op1(e12,e11)
| ~ spl0_32
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2077,f341]) ).
fof(f2079,plain,
( e13 = e14
| ~ spl0_32
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2078,f68]) ).
fof(f2080,plain,
( $false
| ~ spl0_32
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2079,f10]) ).
fof(f2081,plain,
( ~ spl0_32
| ~ spl0_40
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2080]) ).
fof(f2140,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f2171,plain,
( j(op2(e24,e22)) = op1(j(e24),e14)
| ~ spl0_40 ),
inference(superposition,[],[f127,f341]) ).
fof(f2197,plain,
( op1(e12,e14) = j(op2(e24,e22))
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2171,f375]) ).
fof(f2203,plain,
( op1(e12,e14) = j(e20)
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2197,f82]) ).
fof(f2206,plain,
( e13 = op1(e12,e14)
| ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2203,f295]) ).
fof(f2208,plain,
( e10 = e13
| ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2206,f65]) ).
fof(f2211,plain,
( $false
| ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2208,f17]) ).
fof(f2212,plain,
( ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2211]) ).
fof(f2261,plain,
( e20 = e23
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f178,f190]) ).
fof(f2266,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f2261,f27]) ).
fof(f2267,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f2266]) ).
fof(f2493,plain,
( j(op2(e24,e22)) = op1(j(e24),e10)
| ~ spl0_36 ),
inference(superposition,[],[f127,f325]) ).
fof(f2495,plain,
( op1(e12,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2493,f375]) ).
fof(f2496,plain,
( op1(e12,e10) = j(e20)
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2495,f82]) ).
fof(f2497,plain,
( e13 = op1(e12,e10)
| ~ spl0_29
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2496,f295]) ).
fof(f2498,plain,
( e11 = e13
| ~ spl0_29
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2497,f69]) ).
fof(f2499,plain,
( $false
| ~ spl0_29
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2498,f14]) ).
fof(f2500,plain,
( ~ spl0_29
| ~ spl0_36
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2499]) ).
fof(f2506,plain,
( op1(e11,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2493,f371]) ).
fof(f2512,plain,
( op1(e11,e10) = j(e20)
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2506,f82]) ).
fof(f2514,plain,
( e13 = op1(e11,e10)
| ~ spl0_29
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2512,f295]) ).
fof(f2516,plain,
( e10 = e13
| ~ spl0_29
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2514,f74]) ).
fof(f2519,plain,
( $false
| ~ spl0_29
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2516,f17]) ).
fof(f2520,plain,
( ~ spl0_29
| ~ spl0_36
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2519]) ).
fof(f2562,plain,
( e20 = e22
| ~ spl0_11
| ~ spl0_38 ),
inference(forward_demodulation,[],[f1313,f220]) ).
fof(f2587,plain,
( $false
| ~ spl0_11
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f2562,f28]) ).
fof(f2588,plain,
( ~ spl0_11
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f2587]) ).
fof(f2612,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(superposition,[],[f116,f245]) ).
fof(f2631,plain,
( e23 = h(e11)
| ~ spl0_42 ),
inference(superposition,[],[f121,f350]) ).
fof(f2729,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f2762,plain,
( op1(e12,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2729,f375]) ).
fof(f2782,plain,
( op1(e12,e10) = j(e22)
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2762,f83]) ).
fof(f2784,plain,
( e13 = op1(e12,e10)
| ~ spl0_31
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2782,f337]) ).
fof(f2787,plain,
( e11 = e13
| ~ spl0_31
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2784,f69]) ).
fof(f2788,plain,
( $false
| ~ spl0_31
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2787,f14]) ).
fof(f2789,plain,
( ~ spl0_31
| ~ spl0_39
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2788]) ).
fof(f2866,plain,
( j(op2(e24,e22)) = op1(j(e24),e13)
| ~ spl0_39 ),
inference(superposition,[],[f127,f337]) ).
fof(f2872,plain,
( j(op2(e24,e23)) = op1(j(e24),e10)
| ~ spl0_41 ),
inference(superposition,[],[f126,f346]) ).
fof(f2873,plain,
( j(op2(e23,e24)) = op1(e10,j(e24))
| ~ spl0_41 ),
inference(superposition,[],[f130,f346]) ).
fof(f2876,plain,
( op1(e10,e12) = j(op2(e23,e24))
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2873,f375]) ).
fof(f2879,plain,
( op1(e10,e12) = j(e22)
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2876,f85]) ).
fof(f2881,plain,
( e13 = op1(e10,e12)
| ~ spl0_39
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2879,f337]) ).
fof(f2883,plain,
( e10 = e13
| ~ spl0_39
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2881,f77]) ).
fof(f2884,plain,
( $false
| ~ spl0_39
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2883,f17]) ).
fof(f2885,plain,
( ~ spl0_39
| ~ spl0_41
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2884]) ).
fof(f2890,plain,
( op1(e11,e13) = j(op2(e24,e22))
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2866,f371]) ).
fof(f2891,plain,
( op1(e10,e11) = j(op2(e23,e24))
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2873,f371]) ).
fof(f2892,plain,
( op1(e11,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2872,f371]) ).
fof(f2896,plain,
( op1(e11,e13) = j(e20)
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2890,f82]) ).
fof(f2897,plain,
( op1(e10,e11) = j(e22)
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2891,f85]) ).
fof(f2898,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2892,f81]) ).
fof(f2900,plain,
( e14 = op1(e11,e13)
| ~ spl0_30
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2896,f299]) ).
fof(f2901,plain,
( e13 = op1(e10,e11)
| ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2897,f337]) ).
fof(f2902,plain,
( e12 = op1(e11,e10)
| ~ spl0_33
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2898,f312]) ).
fof(f2903,plain,
( e12 = e14
| ~ spl0_30
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2900,f71]) ).
fof(f2904,plain,
( e12 = e13
| ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2901,f78]) ).
fof(f2905,plain,
( e10 = e12
| ~ spl0_33
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2902,f74]) ).
fof(f2906,plain,
( $false
| ~ spl0_30
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2903,f11]) ).
fof(f2907,plain,
( ~ spl0_30
| ~ spl0_39
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2906]) ).
fof(f2908,plain,
( $false
| ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2904,f12]) ).
fof(f2909,plain,
( ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2908]) ).
fof(f2910,plain,
( $false
| ~ spl0_33
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2905,f18]) ).
fof(f2911,plain,
( ~ spl0_33
| ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2910]) ).
fof(f2956,plain,
( op1(e14,e14) = j(op2(e24,e24))
| ~ spl0_50 ),
inference(superposition,[],[f125,f383]) ).
fof(f2970,plain,
( op1(e14,e14) = j(e24)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2956,f80]) ).
fof(f2976,plain,
( e14 = op1(e14,e14)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2970,f383]) ).
fof(f2982,plain,
( e11 = e14
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2976,f55]) ).
fof(f2983,plain,
( $false
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2982,f13]) ).
fof(f2984,plain,
~ spl0_50,
inference(avatar_contradiction_clause,[],[f2983]) ).
fof(f3065,plain,
( e11 = e13
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_demodulation,[],[f2612,f308]) ).
fof(f3069,plain,
( e23 = e24
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1150,f232]) ).
fof(f3083,plain,
( $false
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f3065,f14]) ).
fof(f3084,plain,
( ~ spl0_17
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f3083]) ).
fof(f3087,plain,
( $false
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3069,f20]) ).
fof(f3088,plain,
( ~ spl0_14
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3087]) ).
fof(f3125,plain,
( j(op2(e24,e22)) = op1(j(e24),e10)
| ~ spl0_36 ),
inference(superposition,[],[f127,f325]) ).
fof(f3132,plain,
( j(op2(e23,e24)) = op1(e12,j(e24))
| ~ spl0_43 ),
inference(superposition,[],[f130,f354]) ).
fof(f3146,plain,
( op1(e13,e13) = j(op2(e24,e24))
| ~ spl0_49 ),
inference(superposition,[],[f125,f379]) ).
fof(f3160,plain,
( op1(e13,e13) = j(e24)
| ~ spl0_49 ),
inference(forward_demodulation,[],[f3146,f80]) ).
fof(f3166,plain,
( e13 = op1(e13,e13)
| ~ spl0_49 ),
inference(forward_demodulation,[],[f3160,f379]) ).
fof(f3172,plain,
( e10 = e13
| ~ spl0_49 ),
inference(forward_demodulation,[],[f3166,f61]) ).
fof(f3173,plain,
( $false
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f3172,f17]) ).
fof(f3174,plain,
~ spl0_49,
inference(avatar_contradiction_clause,[],[f3173]) ).
fof(f3179,plain,
( op1(e11,e10) = j(op2(e24,e22))
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3125,f371]) ).
fof(f3180,plain,
( op1(e12,e11) = j(op2(e23,e24))
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3132,f371]) ).
fof(f3185,plain,
( op1(e11,e10) = j(e20)
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3179,f82]) ).
fof(f3186,plain,
( op1(e12,e11) = j(e22)
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3180,f85]) ).
fof(f3189,plain,
( e14 = op1(e11,e10)
| ~ spl0_30
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3185,f299]) ).
fof(f3192,plain,
( e10 = e14
| ~ spl0_30
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3189,f74]) ).
fof(f3194,plain,
( $false
| ~ spl0_30
| ~ spl0_36
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f3192,f16]) ).
fof(f3195,plain,
( ~ spl0_30
| ~ spl0_36
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f3194]) ).
fof(f3203,plain,
( e14 = op1(e12,e11)
| ~ spl0_40
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3186,f341]) ).
fof(f3213,plain,
( e13 = e14
| ~ spl0_40
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3203,f68]) ).
fof(f3214,plain,
( $false
| ~ spl0_40
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f3213,f10]) ).
fof(f3215,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f3214]) ).
fof(f3256,plain,
( j(op2(e24,e21)) = op1(j(e24),e13)
| ~ spl0_34 ),
inference(superposition,[],[f128,f316]) ).
fof(f3260,plain,
( op1(e11,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3256,f371]) ).
fof(f3261,plain,
( op1(e11,e13) = j(e22)
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3260,f83]) ).
fof(f3265,plain,
( j(op2(e24,e22)) = op1(j(e24),e12)
| ~ spl0_38 ),
inference(superposition,[],[f127,f333]) ).
fof(f3267,plain,
( op1(e11,e12) = j(op2(e24,e22))
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3265,f371]) ).
fof(f3268,plain,
( op1(e11,e12) = j(e20)
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3267,f82]) ).
fof(f3269,plain,
( e14 = op1(e11,e12)
| ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3268,f299]) ).
fof(f3270,plain,
( e11 = e14
| ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3269,f72]) ).
fof(f3271,plain,
( $false
| ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f3270,f13]) ).
fof(f3272,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f3271]) ).
fof(f3276,plain,
( e14 = op1(e11,e13)
| ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3261,f341]) ).
fof(f3282,plain,
( e12 = e14
| ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_demodulation,[],[f3276,f71]) ).
fof(f3283,plain,
( $false
| ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f3282,f11]) ).
fof(f3284,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f3283]) ).
fof(f3343,plain,
( op1(e14,e14) = j(op2(e23,e23))
| ~ spl0_45 ),
inference(superposition,[],[f131,f362]) ).
fof(f3347,plain,
( op1(e14,e14) = j(e23)
| ~ spl0_45 ),
inference(forward_demodulation,[],[f3343,f86]) ).
fof(f3350,plain,
( e14 = op1(e14,e14)
| ~ spl0_45 ),
inference(forward_demodulation,[],[f3347,f362]) ).
fof(f3353,plain,
( e11 = e14
| ~ spl0_45 ),
inference(forward_demodulation,[],[f3350,f55]) ).
fof(f3356,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f3353,f13]) ).
fof(f3357,plain,
~ spl0_45,
inference(avatar_contradiction_clause,[],[f3356]) ).
fof(f3364,plain,
( e11 = e14
| ~ spl0_23
| ~ spl0_37 ),
inference(forward_demodulation,[],[f2140,f329]) ).
fof(f3370,plain,
( e22 = e23
| ~ spl0_8
| ~ spl0_42 ),
inference(forward_demodulation,[],[f2631,f207]) ).
fof(f3393,plain,
( $false
| ~ spl0_23
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f3364,f13]) ).
fof(f3394,plain,
( ~ spl0_23
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f3393]) ).
fof(f3401,plain,
( $false
| ~ spl0_8
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f3370,f22]) ).
fof(f3402,plain,
( ~ spl0_8
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f3401]) ).
fof(f3430,plain,
( j(op2(e24,e22)) = op1(j(e24),e14)
| ~ spl0_40 ),
inference(superposition,[],[f127,f341]) ).
fof(f3435,plain,
( op1(e12,e14) = j(op2(e24,e22))
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3430,f375]) ).
fof(f3436,plain,
( op1(e12,e14) = j(e20)
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3435,f82]) ).
fof(f3440,plain,
( j(op2(e23,e24)) = op1(e11,j(e24))
| ~ spl0_42 ),
inference(superposition,[],[f130,f350]) ).
fof(f3445,plain,
( op1(e11,e12) = j(op2(e23,e24))
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3440,f375]) ).
fof(f3448,plain,
( op1(e11,e12) = j(e22)
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3445,f85]) ).
fof(f3450,plain,
( e14 = op1(e11,e12)
| ~ spl0_40
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3448,f341]) ).
fof(f3452,plain,
( e11 = e14
| ~ spl0_40
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3450,f72]) ).
fof(f3453,plain,
( $false
| ~ spl0_40
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3452,f13]) ).
fof(f3454,plain,
( ~ spl0_40
| ~ spl0_42
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3453]) ).
fof(f3461,plain,
( e11 = op1(e12,e14)
| ~ spl0_27
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3436,f287]) ).
fof(f3465,plain,
( e10 = e11
| ~ spl0_27
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3461,f65]) ).
fof(f3466,plain,
( $false
| ~ spl0_27
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3465,f19]) ).
fof(f3467,plain,
( ~ spl0_27
| ~ spl0_40
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3466]) ).
fof(f3484,plain,
( j(op2(e24,e20)) = op1(j(e24),e14)
| ~ spl0_30 ),
inference(superposition,[],[f129,f299]) ).
fof(f3488,plain,
( op1(e12,e14) = j(op2(e24,e20))
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3484,f375]) ).
fof(f3489,plain,
( op1(e12,e14) = j(e23)
| ~ spl0_30
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3488,f84]) ).
fof(f3492,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f3496,plain,
( op1(e12,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3492,f375]) ).
fof(f3497,plain,
( op1(e12,e11) = j(e20)
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3496,f82]) ).
fof(f3498,plain,
( e14 = op1(e12,e11)
| ~ spl0_30
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3497,f299]) ).
fof(f3499,plain,
( e13 = e14
| ~ spl0_30
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3498,f68]) ).
fof(f3500,plain,
( $false
| ~ spl0_30
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3499,f10]) ).
fof(f3501,plain,
( ~ spl0_30
| ~ spl0_37
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3500]) ).
fof(f3506,plain,
( e11 = op1(e12,e14)
| ~ spl0_30
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3489,f350]) ).
fof(f3511,plain,
( e10 = e11
| ~ spl0_30
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3506,f65]) ).
fof(f3512,plain,
( $false
| ~ spl0_30
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3511,f19]) ).
fof(f3513,plain,
( ~ spl0_30
| ~ spl0_42
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3512]) ).
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(s9,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f363]) ).
cnf(s10,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(sat_conversion,[],[f384]) ).
cnf(s11,plain,
( ~ spl0_21
| ~ spl0_26 ),
inference(sat_conversion,[],[f388]) ).
cnf(s12,plain,
( ~ spl0_22
| ~ spl0_31 ),
inference(sat_conversion,[],[f393]) ).
cnf(s13,plain,
( ~ spl0_23
| ~ spl0_36 ),
inference(sat_conversion,[],[f399]) ).
cnf(s16,plain,
( ~ spl0_21
| spl0_30 ),
inference(sat_conversion,[],[f415]) ).
cnf(s17,plain,
( ~ spl0_27
| ~ spl0_30 ),
inference(sat_conversion,[],[f419]) ).
cnf(s18,plain,
( ~ spl0_16
| spl0_29 ),
inference(sat_conversion,[],[f427]) ).
cnf(s19,plain,
( ~ spl0_17
| ~ spl0_31 ),
inference(sat_conversion,[],[f432]) ).
cnf(s20,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(sat_conversion,[],[f438]) ).
cnf(s25,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(sat_conversion,[],[f466]) ).
cnf(s26,plain,
( ~ spl0_22
| spl0_35 ),
inference(sat_conversion,[],[f467]) ).
cnf(s27,plain,
( ~ spl0_33
| ~ spl0_35 ),
inference(sat_conversion,[],[f472]) ).
cnf(s28,plain,
( ~ spl0_11
| spl0_28 ),
inference(sat_conversion,[],[f480]) ).
cnf(s30,plain,
( ~ spl0_14
| ~ spl0_41 ),
inference(sat_conversion,[],[f491]) ).
cnf(s32,plain,
( ~ spl0_10
| ~ spl0_46 ),
inference(sat_conversion,[],[f500]) ).
cnf(s36,plain,
( ~ spl0_26
| ~ spl0_29 ),
inference(sat_conversion,[],[f515]) ).
cnf(s39,plain,
( ~ spl0_9
| spl0_42 ),
inference(sat_conversion,[],[f531]) ).
cnf(s40,plain,
( ~ spl0_7
| spl0_32 ),
inference(sat_conversion,[],[f536]) ).
cnf(s41,plain,
( ~ spl0_8
| ~ spl0_36 ),
inference(sat_conversion,[],[f544]) ).
cnf(s45,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_46 ),
inference(sat_conversion,[],[f574]) ).
cnf(s46,plain,
( ~ spl0_13
| ~ spl0_37 ),
inference(sat_conversion,[],[f580]) ).
cnf(s47,plain,
( ~ spl0_35
| ~ spl0_41
| ~ spl0_46 ),
inference(sat_conversion,[],[f585]) ).
cnf(s50,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_46 ),
inference(sat_conversion,[],[f603]) ).
cnf(s51,plain,
( ~ spl0_15
| ~ spl0_46 ),
inference(sat_conversion,[],[f614]) ).
cnf(s52,plain,
( ~ spl0_4
| spl0_41 ),
inference(sat_conversion,[],[f615]) ).
cnf(s56,plain,
( ~ spl0_35
| ~ spl0_41
| ~ spl0_48 ),
inference(sat_conversion,[],[f641]) ).
cnf(s59,plain,
( ~ spl0_6
| spl0_27 ),
inference(sat_conversion,[],[f656]) ).
cnf(s66,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(sat_conversion,[],[f691]) ).
cnf(s67,plain,
( ~ spl0_5
| spl0_46 ),
inference(sat_conversion,[],[f692]) ).
cnf(s68,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f693]) ).
cnf(s70,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f714]) ).
cnf(s71,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f716]) ).
cnf(s72,plain,
( ~ spl0_3
| spl0_36 ),
inference(sat_conversion,[],[f717]) ).
cnf(s73,plain,
( ~ spl0_10
| spl0_47 ),
inference(sat_conversion,[],[f719]) ).
cnf(s75,plain,
( spl0_8
| ~ spl0_37 ),
inference(sat_conversion,[],[f726]) ).
cnf(s78,plain,
( spl0_14
| ~ spl0_43 ),
inference(sat_conversion,[],[f753]) ).
cnf(s83,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f792]) ).
cnf(s84,plain,
( ~ spl0_14
| spl0_43 ),
inference(sat_conversion,[],[f796]) ).
cnf(s86,plain,
( ~ spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f805]) ).
cnf(s89,plain,
( ~ spl0_13
| spl0_38 ),
inference(sat_conversion,[],[f806]) ).
cnf(s90,plain,
( ~ spl0_35
| ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f828]) ).
cnf(s91,plain,
( ~ spl0_9
| ~ spl0_41 ),
inference(sat_conversion,[],[f837]) ).
cnf(s98,plain,
( ~ spl0_15
| spl0_48 ),
inference(sat_conversion,[],[f846]) ).
cnf(s100,plain,
( ~ spl0_47
| ~ spl0_48 ),
inference(sat_conversion,[],[f857]) ).
cnf(s103,plain,
( ~ spl0_17
| spl0_34 ),
inference(sat_conversion,[],[f859]) ).
cnf(s105,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(sat_conversion,[],[f890]) ).
cnf(s108,plain,
( ~ spl0_24
| spl0_45 ),
inference(sat_conversion,[],[f911]) ).
cnf(s113,plain,
( ~ spl0_2
| spl0_31 ),
inference(sat_conversion,[],[f922]) ).
cnf(s114,plain,
( ~ spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f924]) ).
cnf(s120,plain,
( ~ spl0_19
| spl0_44 ),
inference(sat_conversion,[],[f934]) ).
cnf(s126,plain,
( ~ spl0_14
| ~ spl0_42 ),
inference(sat_conversion,[],[f962]) ).
cnf(s134,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f1015]) ).
cnf(s138,plain,
( ~ spl0_20
| spl0_49 ),
inference(sat_conversion,[],[f1017]) ).
cnf(s140,plain,
( ~ spl0_1
| spl0_26 ),
inference(sat_conversion,[],[f1031]) ).
cnf(s143,plain,
( ~ spl0_26
| ~ spl0_28 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s147,plain,
( ~ spl0_38
| ~ spl0_39 ),
inference(sat_conversion,[],[f1081]) ).
cnf(s150,plain,
( ~ spl0_14
| spl0_43 ),
inference(sat_conversion,[],[f1083]) ).
cnf(s165,plain,
( ~ spl0_23
| spl0_40 ),
inference(sat_conversion,[],[f1182]) ).
cnf(s167,plain,
( ~ spl0_6
| ~ spl0_26 ),
inference(sat_conversion,[],[f1195]) ).
cnf(s179,plain,
~ spl0_44,
inference(sat_conversion,[],[f1258]) ).
cnf(s188,plain,
( ~ spl0_11
| ~ spl0_27 ),
inference(sat_conversion,[],[f1282]) ).
cnf(s217,plain,
( ~ spl0_25
| spl0_50 ),
inference(sat_conversion,[],[f1371]) ).
cnf(s218,plain,
( ~ spl0_6
| ~ spl0_42 ),
inference(sat_conversion,[],[f1392]) ).
cnf(s221,plain,
( ~ spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f1422]) ).
cnf(s240,plain,
( ~ spl0_3
| ~ spl0_46 ),
inference(sat_conversion,[],[f1540]) ).
cnf(s247,plain,
( spl0_17
| ~ spl0_34 ),
inference(sat_conversion,[],[f1565]) ).
cnf(s248,plain,
( ~ spl0_39
| ~ spl0_40 ),
inference(sat_conversion,[],[f1569]) ).
cnf(s258,plain,
( ~ spl0_12
| ~ spl0_31 ),
inference(sat_conversion,[],[f1609]) ).
cnf(s274,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_46 ),
inference(sat_conversion,[],[f1658]) ).
cnf(s279,plain,
( ~ spl0_17
| ~ spl0_39 ),
inference(sat_conversion,[],[f1672]) ).
cnf(s280,plain,
( ~ spl0_34
| ~ spl0_39
| ~ spl0_46 ),
inference(sat_conversion,[],[f1675]) ).
cnf(s281,plain,
( spl0_3
| ~ spl0_36 ),
inference(sat_conversion,[],[f1676]) ).
cnf(s290,plain,
( ~ spl0_34
| ~ spl0_38
| ~ spl0_46 ),
inference(sat_conversion,[],[f1688]) ).
cnf(s300,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f1710]) ).
cnf(s301,plain,
( ~ spl0_30
| ~ spl0_37
| ~ spl0_46 ),
inference(sat_conversion,[],[f1736]) ).
cnf(s331,plain,
( ~ spl0_12
| ~ spl0_38 ),
inference(sat_conversion,[],[f1816]) ).
cnf(s332,plain,
( spl0_12
| ~ spl0_33 ),
inference(sat_conversion,[],[f1818]) ).
cnf(s339,plain,
( ~ spl0_12
| ~ spl0_32 ),
inference(sat_conversion,[],[f1853]) ).
cnf(s356,plain,
( ~ spl0_1
| ~ spl0_46 ),
inference(sat_conversion,[],[f1893]) ).
cnf(s368,plain,
( ~ spl0_28
| ~ spl0_30 ),
inference(sat_conversion,[],[f1908]) ).
cnf(s369,plain,
( ~ spl0_2
| ~ spl0_46 ),
inference(sat_conversion,[],[f1910]) ).
cnf(s374,plain,
( ~ spl0_33
| ~ spl0_39
| ~ spl0_46 ),
inference(sat_conversion,[],[f1942]) ).
cnf(s382,plain,
( ~ spl0_33
| ~ spl0_40
| ~ spl0_46 ),
inference(sat_conversion,[],[f1953]) ).
cnf(s393,plain,
( ~ spl0_7
| ~ spl0_42 ),
inference(sat_conversion,[],[f1968]) ).
cnf(s394,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f1997]) ).
cnf(s405,plain,
( ~ spl0_29
| ~ spl0_43
| ~ spl0_46 ),
inference(sat_conversion,[],[f2013]) ).
cnf(s414,plain,
( ~ spl0_32
| ~ spl0_39
| ~ spl0_46 ),
inference(sat_conversion,[],[f2052]) ).
cnf(s430,plain,
( spl0_4
| ~ spl0_41 ),
inference(sat_conversion,[],[f2058]) ).
cnf(s433,plain,
( ~ spl0_38
| ~ spl0_40 ),
inference(sat_conversion,[],[f2069]) ).
cnf(s439,plain,
( ~ spl0_32
| ~ spl0_40
| ~ spl0_48 ),
inference(sat_conversion,[],[f2081]) ).
cnf(s490,plain,
( ~ spl0_29
| ~ spl0_40
| ~ spl0_48 ),
inference(sat_conversion,[],[f2212]) ).
cnf(s502,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f2267]) ).
cnf(s595,plain,
( ~ spl0_29
| ~ spl0_36
| ~ spl0_48 ),
inference(sat_conversion,[],[f2500]) ).
cnf(s607,plain,
( ~ spl0_29
| ~ spl0_36
| ~ spl0_47 ),
inference(sat_conversion,[],[f2520]) ).
cnf(s645,plain,
( ~ spl0_11
| ~ spl0_38 ),
inference(sat_conversion,[],[f2588]) ).
cnf(s723,plain,
( ~ spl0_31
| ~ spl0_39
| ~ spl0_48 ),
inference(sat_conversion,[],[f2789]) ).
cnf(s778,plain,
( ~ spl0_39
| ~ spl0_41
| ~ spl0_48 ),
inference(sat_conversion,[],[f2885]) ).
cnf(s790,plain,
( ~ spl0_30
| ~ spl0_39
| ~ spl0_47 ),
inference(sat_conversion,[],[f2907]) ).
cnf(s791,plain,
( ~ spl0_39
| ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f2909]) ).
cnf(s792,plain,
( ~ spl0_33
| ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f2911]) ).
cnf(s802,plain,
~ spl0_50,
inference(sat_conversion,[],[f2984]) ).
cnf(s888,plain,
( ~ spl0_17
| ~ spl0_32 ),
inference(sat_conversion,[],[f3084]) ).
cnf(s890,plain,
( ~ spl0_14
| ~ spl0_48 ),
inference(sat_conversion,[],[f3088]) ).
cnf(s895,plain,
~ spl0_49,
inference(sat_conversion,[],[f3174]) ).
cnf(s907,plain,
( ~ spl0_30
| ~ spl0_36
| ~ spl0_47 ),
inference(sat_conversion,[],[f3195]) ).
cnf(s926,plain,
( ~ spl0_40
| ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f3215]) ).
cnf(s955,plain,
( ~ spl0_30
| ~ spl0_38
| ~ spl0_47 ),
inference(sat_conversion,[],[f3272]) ).
cnf(s969,plain,
( ~ spl0_34
| ~ spl0_40
| ~ spl0_47 ),
inference(sat_conversion,[],[f3284]) ).
cnf(s1003,plain,
~ spl0_45,
inference(sat_conversion,[],[f3357]) ).
cnf(s1029,plain,
( ~ spl0_23
| ~ spl0_37 ),
inference(sat_conversion,[],[f3394]) ).
cnf(s1033,plain,
( ~ spl0_8
| ~ spl0_42 ),
inference(sat_conversion,[],[f3402]) ).
cnf(s1039,plain,
( ~ spl0_40
| ~ spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f3454]) ).
cnf(s1053,plain,
( ~ spl0_27
| ~ spl0_40
| ~ spl0_48 ),
inference(sat_conversion,[],[f3467]) ).
cnf(s1073,plain,
( ~ spl0_30
| ~ spl0_37
| ~ spl0_48 ),
inference(sat_conversion,[],[f3501]) ).
cnf(s1093,plain,
( ~ spl0_30
| ~ spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f3513]) ).
cnf(s1094,plain,
~ spl0_25,
inference(rat,[],[s217,s802]) ).
cnf(s1095,plain,
~ spl0_20,
inference(rat,[],[s138,s895]) ).
cnf(s1096,plain,
~ spl0_19,
inference(rat,[],[s120,s179]) ).
cnf(s1097,plain,
~ spl0_24,
inference(rat,[],[s108,s1003]) ).
cnf(s1098,plain,
( spl0_46
| spl0_47
| spl0_48 ),
inference(rat,[],[s10,s802,s895]) ).
cnf(s1099,plain,
( spl0_41
| spl0_42
| spl0_43 ),
inference(rat,[],[s9,s1003,s179]) ).
cnf(s1100,plain,
( spl0_21
| spl0_22
| spl0_23 ),
inference(rat,[],[s5,s1094,s1097]) ).
cnf(s1101,plain,
( spl0_16
| spl0_17
| spl0_18 ),
inference(rat,[],[s4,s1095,s1096]) ).
cnf(s1102,plain,
( spl0_12
| spl0_11
| ~ spl0_42
| spl0_32
| ~ spl0_46
| spl0_31 ),
inference(rat,[],[s290,s89,s7,s3,s332,s51,s126,s50]) ).
cnf(s1103,plain,
( ~ spl0_12
| spl0_37
| ~ spl0_46
| spl0_36 ),
inference(rat,[],[s8,s374,s382,s221,s331]) ).
cnf(s1104,plain,
( spl0_8
| spl0_7
| spl0_6
| ~ spl0_46
| spl0_36
| spl0_31 ),
inference(rat,[],[s8,s274,s280,s645,s7,s1102,s332,s1103,s50,s39,s2,s75,s32,s300]) ).
cnf(s1105,plain,
( ~ spl0_8
| ~ spl0_46
| spl0_41 ),
inference(rat,[],[s1100,s26,s16,s45,s301,s1029,s1099,s68,s1033]) ).
cnf(s1106,plain,
( ~ spl0_7
| ~ spl0_46
| spl0_41 ),
inference(rat,[],[s1101,s18,s114,s405,s414,s888,s1099,s40,s393]) ).
cnf(s1107,plain,
( spl0_4
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s165,s274,s1100,s7,s26,s16,s45,s17,s1099,s59,s218,s1104,s300,s1106,s332,s1103,s75,s1105,s67,s1,s430,s394,s281]) ).
cnf(s1108,plain,
( spl0_8
| spl0_7
| spl0_35
| ~ spl0_46
| spl0_14
| spl0_36
| spl0_31 ),
inference(rat,[],[s89,s290,s3,s7,s188,s332,s59,s1103,s1104,s75,s51,s300]) ).
cnf(s1109,plain,
( ~ spl0_37
| spl0_22
| ~ spl0_46 ),
inference(rat,[],[s16,s1100,s301,s1029]) ).
cnf(s1110,plain,
( ~ spl0_46
| ~ spl0_41
| spl0_36
| spl0_31 ),
inference(rat,[],[s433,s165,s89,s1100,s3,s16,s28,s25,s71,s18,s1101,s114,s414,s888,s40,s1108,s1103,s68,s1109,s26,s47,s51,s30]) ).
cnf(s1111,plain,
( ~ spl0_47
| ~ spl0_34
| spl0_22
| spl0_37
| spl0_36 ),
inference(rat,[],[s16,s955,s1100,s8,s165,s969,s279,s247]) ).
cnf(s1112,plain,
( spl0_47
| spl0_22
| spl0_8
| spl0_7
| spl0_46
| spl0_9 ),
inference(rat,[],[s1100,s165,s16,s1053,s17,s59,s2,s1098,s73]) ).
cnf(s1113,plain,
( spl0_35
| spl0_8
| spl0_7
| ~ spl0_41
| spl0_36
| spl0_31 ),
inference(rat,[],[s7,s1111,s792,s1112,s26,s91,s1110,s300,s75]) ).
cnf(s1114,plain,
( ~ spl0_35
| spl0_46
| ~ spl0_41 ),
inference(rat,[],[s1098,s56,s90]) ).
cnf(s1115,plain,
( ~ spl0_37
| spl0_46
| ~ spl0_41 ),
inference(rat,[],[s86,s3,s792,s28,s1098,s98,s368,s1073,s16,s1100,s46,s1029,s30,s26,s1114]) ).
cnf(s1116,plain,
( ~ spl0_40
| ~ spl0_32
| spl0_14 ),
inference(rat,[],[s70,s18,s28,s1101,s3,s114,s89,s98,s248,s433,s439,s888,s339]) ).
cnf(s1117,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s1098,s778,s791,s114,s1101,s18,s25,s16,s1100,s165,s1116,s888,s40,s1113,s68,s1115,s26,s1114,s1110,s30,s52,s1107,s281,s394]) ).
cnf(s1118,plain,
( spl0_22
| spl0_7
| ~ spl0_3 ),
inference(rat,[],[s39,s1093,s1112,s1098,s907,s16,s1100,s240,s41,s13,s72]) ).
cnf(s1119,plain,
( ~ spl0_29
| ~ spl0_3 ),
inference(rat,[],[s1098,s595,s607,s240,s72]) ).
cnf(s1120,plain,
~ spl0_3,
inference(rat,[],[s26,s1118,s105,s40,s103,s888,s1101,s18,s1119,s20,s72]) ).
cnf(s1121,plain,
~ spl0_36,
inference(rat,[],[s281,s1120]) ).
cnf(s1122,plain,
( ~ spl0_40
| ~ spl0_2 ),
inference(rat,[],[s84,s926,s3,s1098,s98,s28,s490,s71,s18,s1101,s114,s89,s248,s433,s369,s258,s19,s113]) ).
cnf(s1123,plain,
~ spl0_2,
inference(rat,[],[s1098,s723,s790,s114,s1101,s18,s25,s16,s1100,s165,s1122,s12,s19,s113,s369]) ).
cnf(s1125,plain,
spl0_1,
inference(rat,[],[s1117,s1120,s1123]) ).
cnf(s1126,plain,
~ spl0_4,
inference(rat,[],[s502,s1125]) ).
cnf(s1127,plain,
~ spl0_46,
inference(rat,[],[s356,s1125]) ).
cnf(s1129,plain,
spl0_26,
inference(rat,[],[s140,s1125]) ).
cnf(s1130,plain,
~ spl0_41,
inference(rat,[],[s430,s1126]) ).
cnf(s1132,plain,
~ spl0_6,
inference(rat,[],[s167,s1129]) ).
cnf(s1133,plain,
~ spl0_28,
inference(rat,[],[s143,s1129]) ).
cnf(s1134,plain,
~ spl0_29,
inference(rat,[],[s36,s1129]) ).
cnf(s1135,plain,
~ spl0_21,
inference(rat,[],[s11,s1129]) ).
cnf(s1136,plain,
~ spl0_11,
inference(rat,[],[s28,s1133]) ).
cnf(s1137,plain,
~ spl0_16,
inference(rat,[],[s18,s1134]) ).
cnf(s1139,plain,
( spl0_22
| spl0_8
| spl0_7 ),
inference(rat,[],[s39,s1039,s1112,s1098,s1111,s103,s1101,s114,s248,s165,s1100,s75,s1127,s1121,s1137,s1135]) ).
cnf(s1140,plain,
( spl0_47
| spl0_8
| spl0_7 ),
inference(rat,[],[s39,s134,s2,s1098,s73,s26,s1139,s1132,s1127]) ).
cnf(s1141,plain,
( spl0_8
| spl0_7 ),
inference(rat,[],[s3,s150,s98,s83,s100,s1140,s89,s147,s114,s1101,s221,s103,s27,s105,s26,s1139,s1137,s1136]) ).
cnf(s1142,plain,
~ spl0_8,
inference(rat,[],[s83,s1098,s26,s890,s1100,s78,s1029,s1099,s68,s1033,s1127,s1135,s1130]) ).
cnf(s1144,plain,
spl0_7,
inference(rat,[],[s1141,s1142]) ).
cnf(s1147,plain,
spl0_32,
inference(rat,[],[s40,s1144]) ).
cnf(s1150,plain,
~ spl0_17,
inference(rat,[],[s888,s1147]) ).
cnf(s1153,plain,
~ spl0_35,
inference(rat,[],[s66,s1147]) ).
cnf(s1155,plain,
spl0_18,
inference(rat,[],[s1101,s1137,s1150]) ).
cnf(s1156,plain,
~ spl0_22,
inference(rat,[],[s26,s1153]) ).
cnf(s1159,plain,
spl0_39,
inference(rat,[],[s114,s1155]) ).
cnf(s1160,plain,
spl0_23,
inference(rat,[],[s1100,s1135,s1156]) ).
cnf(s1162,plain,
~ spl0_40,
inference(rat,[],[s248,s1159]) ).
cnf(s1164,plain,
$false,
inference(rat,[],[s165,s1162,s1160]) ).
fof(f3514,plain,
$false,
inference(avatar_sat_refutation,[],[s1164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG182+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n020.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 19:40:05 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.33 % (458445)Will run a generic schedule for satisfiability detection.
% 0.19/0.33 % (458451)% WARNING: option uhcvi not known.
% 0.19/0.33 % (458451)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1644157919:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.33 % (458450)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1666660645_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.33 % (458452)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2277939588:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.33 % (458453)dis+10_1_sil=32000:sp=arity:random_seed=287015202:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.33 % (458454)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3903517003:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.33 % (458456)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4073019549:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.33 % (458455)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=893553237:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 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 % (458453)Instruction limit reached!
% 0.19/0.33 % (458453)------------------------------
% 0.19/0.33 % (458453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (458453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (458453)CaDiCaL version: 2.1.3
% 0.19/0.33 % (458453)Termination reason: Instruction limit
% 0.19/0.33 % (458453)Termination phase: Saturation
% 0.19/0.33 % (458453)Time elapsed: 0.052 s
% 0.19/0.33 % (458453)Peak memory usage: 12 MB
% 0.19/0.33 % (458453)Instructions burned: 104 (million)
% 0.19/0.33 % (458454) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-458445-458454"...
% 0.19/0.33 % (458455)Instruction limit reached!
% 0.19/0.33 % (458455)------------------------------
% 0.19/0.33 % (458455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (458455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (458455)CaDiCaL version: 2.1.3
% 0.19/0.33 % (458455)Termination reason: Instruction limit
% 0.19/0.33 % (458455)Termination phase: Saturation
% 0.19/0.33 % (458455)Time elapsed: 0.062 s
% 0.19/0.33 % (458455)Peak memory usage: 13 MB
% 0.19/0.33 % (458455)Instructions burned: 131 (million)
% 0.19/0.33 % (458454)...printing done.
% 0.19/0.33 % (458454)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
% 0.19/0.33 % (458454)------------------------------
% 0.19/0.33 % (458454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (458454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (458454)CaDiCaL version: 2.1.3
% 0.19/0.33 % (458454)Termination reason: Refutation
% 0.19/0.33 % (458454)Time elapsed: 0.062 s
% 0.19/0.33 % (458454)Peak memory usage: 13 MB
% 0.19/0.33 % (458454)Instructions burned: 120 (million)
% 0.19/0.33 % (458445)Success in time 0.105 s
% 0.19/0.33 % Vampire exiting
%------------------------------------------------------------------------------