%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG081+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 09:09:31 AM UTC 2026
% Result : Theorem 2.60s 0.90s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 51
% Syntax : Number of formulae : 814 ( 97 unt; 46 def)
% Number of atoms : 2624 ( 960 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 3185 (1375 ~;1422 |; 340 &)
% ( 46 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 48 ( 46 usr; 47 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e10,e14) = e14
& op1(e11,e10) = e11
& op1(e11,e11) = e12
& op1(e11,e12) = e13
& op1(e11,e13) = e14
& op1(e11,e14) = e10
& op1(e12,e10) = e12
& op1(e12,e11) = e14
& op1(e12,e12) = e11
& op1(e12,e13) = e10
& op1(e12,e14) = e13
& op1(e13,e10) = e13
& op1(e13,e11) = e10
& op1(e13,e12) = e14
& op1(e13,e13) = e11
& op1(e13,e14) = e12
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e10
& op1(e14,e13) = e12
& op1(e14,e14) = e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e20,e24) = e24
& op2(e21,e20) = e21
& op2(e21,e21) = e22
& op2(e21,e22) = e24
& op2(e21,e23) = e20
& op2(e21,e24) = e23
& op2(e22,e20) = e22
& op2(e22,e21) = e20
& op2(e22,e22) = e23
& op2(e22,e23) = e24
& op2(e22,e24) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e24
& op2(e23,e22) = e20
& op2(e23,e23) = e21
& op2(e23,e24) = e22
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e21
& op2(e24,e23) = e22
& op2(e24,e24) = e20 ),
file('/export/starexec/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,
( e10 = j(e24)
| e11 = j(e24)
| e12 = j(e24)
| e13 = j(e24)
| e14 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f11,plain,
( e10 = j(e23)
| e11 = j(e23)
| e12 = j(e23)
| e13 = j(e23)
| e14 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
fof(f12,plain,
( e10 = j(e22)
| e11 = j(e22)
| e12 = j(e22)
| e13 = j(e22)
| e14 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
fof(f13,plain,
( e10 = j(e21)
| e11 = j(e21)
| e12 = j(e21)
| e13 = j(e21)
| e14 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f14,plain,
( e10 = j(e20)
| e11 = j(e20)
| e12 = j(e20)
| e13 = j(e20)
| e14 = j(e20) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
( e20 = h(e14)
| e21 = h(e14)
| e22 = h(e14)
| e23 = h(e14)
| e24 = h(e14) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
( e20 = h(e13)
| e21 = h(e13)
| e22 = h(e13)
| e23 = h(e13)
| e24 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
( e20 = h(e12)
| e21 = h(e12)
| e22 = h(e12)
| e23 = h(e12)
| e24 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
( e20 = h(e11)
| e21 = h(e11)
| e22 = h(e11)
| e23 = h(e11)
| e24 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f21,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f32,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f80,plain,
e20 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e22 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
e21 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
e23 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
e24 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
e11 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f106,plain,
e12 = op1(e14,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f107,plain,
e10 = op1(e14,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f108,plain,
e13 = op1(e14,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f110,plain,
e12 = op1(e13,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f111,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f113,plain,
e10 = op1(e13,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f116,plain,
e10 = op1(e12,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f117,plain,
e11 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f119,plain,
e12 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f120,plain,
e10 = op1(e11,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f122,plain,
e13 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f123,plain,
e12 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f124,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f129,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f155,plain,
e23 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f158,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f161,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f162,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f163,plain,
e20 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f164,plain,
e20 != e21,
inference(cnf_transformation,[],[f2]) ).
fof(f165,plain,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f166,plain,
e12 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f167,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f168,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f169,plain,
e11 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f170,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f171,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f172,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f173,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f174,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f176,definition,
( spl0_1
<=> e14 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f177,plain,
( e14 != j(e24)
| spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( e14 = j(e24)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl0_2
<=> e13 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f182,plain,
( e13 = j(e24)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl0_3
<=> e12 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f186,plain,
( e12 = j(e24)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl0_4
<=> e11 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f190,plain,
( e11 = j(e24)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl0_5
<=> e10 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f194,plain,
( e10 = j(e24)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f192,f188,f184,f180,f176]) ).
fof(f197,definition,
( spl0_6
<=> e14 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f199,plain,
( e14 = j(e23)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl0_7
<=> e13 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f202,plain,
( e13 != j(e23)
| spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f203,plain,
( e13 = j(e23)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl0_8
<=> e12 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f207,plain,
( e12 = j(e23)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_9
<=> e11 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f211,plain,
( e11 = j(e23)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_10
<=> e10 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f215,plain,
( e10 = j(e23)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f213,f209,f205,f201,f197]) ).
fof(f218,definition,
( spl0_11
<=> e14 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f219,plain,
( e14 != j(e22)
| spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( e14 = j(e22)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_12
<=> e13 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f224,plain,
( e13 = j(e22)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl0_13
<=> e12 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f228,plain,
( e12 = j(e22)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl0_14
<=> e11 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f232,plain,
( e11 = j(e22)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl0_15
<=> e10 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f236,plain,
( e10 = j(e22)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f12,f234,f230,f226,f222,f218]) ).
fof(f239,definition,
( spl0_16
<=> e14 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f240,plain,
( e14 != j(e21)
| spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f241,plain,
( e14 = j(e21)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f243,definition,
( spl0_17
<=> e13 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f245,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl0_18
<=> e12 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f249,plain,
( e12 = j(e21)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl0_19
<=> e11 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f253,plain,
( e11 = j(e21)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_20
<=> e10 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f257,plain,
( e10 = j(e21)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f13,f255,f251,f247,f243,f239]) ).
fof(f260,definition,
( spl0_21
<=> e14 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f261,plain,
( e14 != j(e20)
| spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( e14 = j(e20)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl0_22
<=> e13 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f265,plain,
( e13 != j(e20)
| spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( e13 = j(e20)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_23
<=> e12 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f270,plain,
( e12 = j(e20)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_24
<=> e11 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f274,plain,
( e11 = j(e20)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl0_25
<=> e10 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f278,plain,
( e10 = j(e20)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f14,f276,f272,f268,f264,f260]) ).
fof(f281,definition,
( spl0_26
<=> e24 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f283,plain,
( e24 = h(e14)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl0_27
<=> e23 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f287,plain,
( e23 = h(e14)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f289,definition,
( spl0_28
<=> e22 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f291,plain,
( e22 = h(e14)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,definition,
( spl0_29
<=> e21 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f295,plain,
( e21 = h(e14)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl0_30
<=> e20 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f299,plain,
( e20 = h(e14)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f15,f297,f293,f289,f285,f281]) ).
fof(f302,definition,
( spl0_31
<=> e24 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f304,plain,
( e24 = h(e13)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl0_32
<=> e23 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f308,plain,
( e23 = h(e13)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl0_33
<=> e22 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f312,plain,
( e22 = h(e13)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl0_34
<=> e21 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f316,plain,
( e21 = h(e13)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl0_35
<=> e20 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f320,plain,
( e20 = h(e13)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f16,f318,f314,f310,f306,f302]) ).
fof(f323,definition,
( spl0_36
<=> e24 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f325,plain,
( e24 = h(e12)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl0_37
<=> e23 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f329,plain,
( e23 = h(e12)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl0_38
<=> e22 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f333,plain,
( e22 = h(e12)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl0_39
<=> e21 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f337,plain,
( e21 = h(e12)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl0_40
<=> e20 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f341,plain,
( e20 = h(e12)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f17,f339,f335,f331,f327,f323]) ).
fof(f344,definition,
( spl0_41
<=> e24 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f346,plain,
( e24 = h(e11)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f348,definition,
( spl0_42
<=> e23 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f350,plain,
( e23 = h(e11)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f352,definition,
( spl0_43
<=> e22 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f354,plain,
( e22 = h(e11)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f356,definition,
( spl0_44
<=> e21 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f358,plain,
( e21 = h(e11)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl0_45
<=> e20 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f362,plain,
( e20 = h(e11)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f18,f360,f356,f352,f348,f344]) ).
fof(f381,definition,
( spl0_50
<=> e20 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f383,plain,
( e20 = h(e10)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f385,plain,
j(e20) = op1(j(e24),j(e24)),
inference(forward_demodulation,[],[f30,f80]) ).
fof(f386,plain,
j(e22) = op1(j(e24),j(e23)),
inference(forward_demodulation,[],[f31,f81]) ).
fof(f387,plain,
j(e21) = op1(j(e24),j(e22)),
inference(forward_demodulation,[],[f32,f82]) ).
fof(f388,plain,
j(e23) = op1(j(e24),j(e21)),
inference(forward_demodulation,[],[f33,f83]) ).
fof(f389,plain,
j(e24) = op1(j(e24),j(e20)),
inference(forward_demodulation,[],[f34,f84]) ).
fof(f435,plain,
( e14 = j(e24)
| ~ spl0_26 ),
inference(superposition,[],[f20,f283]) ).
fof(f436,plain,
( e13 = e14
| ~ spl0_2
| ~ spl0_26 ),
inference(forward_demodulation,[],[f435,f182]) ).
fof(f437,plain,
( $false
| ~ spl0_2
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f436,f165]) ).
fof(f438,plain,
( ~ spl0_2
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f440,plain,
( e14 = j(e23)
| ~ spl0_27 ),
inference(superposition,[],[f20,f287]) ).
fof(f441,plain,
( e13 = j(e24)
| ~ spl0_31 ),
inference(superposition,[],[f21,f304]) ).
fof(f442,plain,
( e12 = j(e24)
| ~ spl0_36 ),
inference(superposition,[],[f22,f325]) ).
fof(f443,plain,
( spl0_3
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f442,f323,f184]) ).
fof(f445,plain,
( e12 = j(e23)
| ~ spl0_37 ),
inference(superposition,[],[f22,f329]) ).
fof(f446,plain,
( spl0_8
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f445,f327,f205]) ).
fof(f454,plain,
( e12 = e14
| ~ spl0_8
| ~ spl0_27 ),
inference(forward_demodulation,[],[f440,f207]) ).
fof(f455,plain,
( $false
| ~ spl0_8
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f454,f166]) ).
fof(f456,plain,
( ~ spl0_8
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f459,plain,
( e14 = j(e22)
| ~ spl0_28 ),
inference(superposition,[],[f20,f291]) ).
fof(f460,plain,
( e11 = j(e24)
| ~ spl0_41 ),
inference(superposition,[],[f23,f346]) ).
fof(f461,plain,
( spl0_4
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f460,f344,f188]) ).
fof(f463,plain,
( e11 = j(e23)
| ~ spl0_42 ),
inference(superposition,[],[f23,f350]) ).
fof(f464,plain,
( spl0_9
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f463,f348,f209]) ).
fof(f467,plain,
( e11 = j(e22)
| ~ spl0_43 ),
inference(superposition,[],[f23,f354]) ).
fof(f468,plain,
( spl0_14
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f467,f352,f230]) ).
fof(f469,plain,
( e11 = e14
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f232,f220]) ).
fof(f473,plain,
( $false
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f469,f168]) ).
fof(f474,plain,
( ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f479,plain,
( e11 = j(e21)
| ~ spl0_44 ),
inference(superposition,[],[f23,f358]) ).
fof(f480,plain,
( spl0_19
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f479,f356,f251]) ).
fof(f481,plain,
( e11 = e14
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f253,f241]) ).
fof(f485,plain,
( $false
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f481,f168]) ).
fof(f486,plain,
( ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f527,plain,
( e13 = j(e23)
| ~ spl0_32 ),
inference(superposition,[],[f21,f308]) ).
fof(f528,plain,
( e12 = e13
| ~ spl0_8
| ~ spl0_32 ),
inference(forward_demodulation,[],[f527,f207]) ).
fof(f529,plain,
( $false
| ~ spl0_8
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f528,f167]) ).
fof(f530,plain,
( ~ spl0_8
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f533,plain,
( e13 = j(e22)
| ~ spl0_33 ),
inference(superposition,[],[f21,f312]) ).
fof(f534,plain,
( spl0_12
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f533,f310,f222]) ).
fof(f538,plain,
( e13 = j(e21)
| ~ spl0_34 ),
inference(superposition,[],[f21,f316]) ).
fof(f539,plain,
( e11 = e13
| ~ spl0_19
| ~ spl0_34 ),
inference(forward_demodulation,[],[f538,f253]) ).
fof(f540,plain,
( $false
| ~ spl0_19
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f539,f169]) ).
fof(f541,plain,
( ~ spl0_19
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f543,plain,
( spl0_17
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f538,f314,f243]) ).
fof(f544,plain,
( e13 = e14
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f245,f241]) ).
fof(f545,plain,
( e13 = e14
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f241,f245]) ).
fof(f546,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f545,f165]) ).
fof(f547,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f548,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f544,f165]) ).
fof(f549,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f548]) ).
fof(f556,plain,
( e11 = j(e20)
| ~ spl0_45 ),
inference(superposition,[],[f23,f362]) ).
fof(f557,plain,
( spl0_24
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f556,f360,f272]) ).
fof(f567,plain,
( e11 = e12
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f211,f207]) ).
fof(f571,plain,
( $false
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f567,f170]) ).
fof(f572,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f571]) ).
fof(f590,plain,
( $false
| spl0_11
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f459,f219]) ).
fof(f591,plain,
( spl0_11
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f625,plain,
( e24 = h(e11)
| ~ spl0_4 ),
inference(superposition,[],[f25,f190]) ).
fof(f628,plain,
( e21 = h(e13)
| ~ spl0_17 ),
inference(superposition,[],[f28,f245]) ).
fof(f629,plain,
( e20 = h(e10)
| ~ spl0_25 ),
inference(superposition,[],[f29,f278]) ).
fof(f632,plain,
( j(e22) = op1(e11,j(e23))
| ~ spl0_4 ),
inference(superposition,[],[f386,f190]) ).
fof(f633,plain,
( j(e22) = op1(j(e24),e12)
| ~ spl0_8 ),
inference(superposition,[],[f386,f207]) ).
fof(f635,plain,
( op1(e11,e12) = j(e22)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f632,f207]) ).
fof(f637,plain,
( e14 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f635,f220]) ).
fof(f639,plain,
( e13 = e14
| ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f637,f122]) ).
fof(f642,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f639,f165]) ).
fof(f643,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f651,plain,
( op1(e12,e12) = j(e22)
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f633,f186]) ).
fof(f656,plain,
( e14 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f651,f220]) ).
fof(f657,plain,
( e11 = e14
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f656,f117]) ).
fof(f658,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f657,f168]) ).
fof(f659,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f658]) ).
fof(f680,plain,
( op1(e10,e10) = j(e20)
| ~ spl0_5 ),
inference(superposition,[],[f385,f194]) ).
fof(f681,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(superposition,[],[f25,f194]) ).
fof(f682,plain,
( e11 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f680,f274]) ).
fof(f684,plain,
( e10 = e11
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f682,f129]) ).
fof(f686,plain,
( $false
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f684,f174]) ).
fof(f687,plain,
( ~ spl0_5
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f691,plain,
( e12 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[],[f680,f270]) ).
fof(f692,plain,
( e10 = e12
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[],[f691,f129]) ).
fof(f693,plain,
( $false
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f692,f173]) ).
fof(f694,plain,
( ~ spl0_5
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f697,plain,
( e14 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f680,f262]) ).
fof(f698,plain,
( e10 = e14
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f697,f129]) ).
fof(f699,plain,
( $false
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f698,f171]) ).
fof(f700,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f703,plain,
( e13 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_demodulation,[],[f680,f266]) ).
fof(f704,plain,
( e10 = e13
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_demodulation,[],[f703,f129]) ).
fof(f705,plain,
( $false
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f704,f172]) ).
fof(f706,plain,
( ~ spl0_5
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f708,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f441,f302,f180]) ).
fof(f717,plain,
( op1(e14,e12) = j(e22)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f633,f178]) ).
fof(f727,plain,
( e11 = op1(e14,e12)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f717,f232]) ).
fof(f732,plain,
( e10 = e11
| ~ spl0_1
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f727,f107]) ).
fof(f733,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f732,f174]) ).
fof(f734,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f733]) ).
fof(f745,plain,
( op1(e13,e13) = j(e20)
| ~ spl0_2 ),
inference(superposition,[],[f385,f182]) ).
fof(f746,plain,
( e24 = h(e13)
| ~ spl0_2 ),
inference(superposition,[],[f25,f182]) ).
fof(f747,plain,
( e12 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_demodulation,[],[f745,f270]) ).
fof(f749,plain,
( e11 = e12
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_demodulation,[],[f747,f111]) ).
fof(f751,plain,
( $false
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f749,f170]) ).
fof(f752,plain,
( ~ spl0_2
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f751]) ).
fof(f763,plain,
( e24 = h(e12)
| ~ spl0_3 ),
inference(superposition,[],[f25,f186]) ).
fof(f782,plain,
( op1(e14,e12) = j(e22)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f633,f178]) ).
fof(f787,plain,
( e13 = op1(e14,e12)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f782,f224]) ).
fof(f788,plain,
( e10 = e13
| ~ spl0_1
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f787,f107]) ).
fof(f789,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f788,f172]) ).
fof(f790,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f789]) ).
fof(f799,plain,
( op1(e14,e14) = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f385,f178]) ).
fof(f800,plain,
( e24 = h(e14)
| ~ spl0_1 ),
inference(superposition,[],[f25,f178]) ).
fof(f803,plain,
( e12 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f799,f270]) ).
fof(f805,plain,
( e11 = e12
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f803,f105]) ).
fof(f807,plain,
( $false
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f805,f170]) ).
fof(f808,plain,
( ~ spl0_1
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f807]) ).
fof(f816,plain,
( e21 = e24
| ~ spl0_4
| ~ spl0_44 ),
inference(forward_demodulation,[],[f625,f358]) ).
fof(f819,plain,
( $false
| ~ spl0_4
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f816,f158]) ).
fof(f820,plain,
( ~ spl0_4
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f823,plain,
( j(e22) = op1(e11,j(e23))
| ~ spl0_4 ),
inference(superposition,[],[f386,f190]) ).
fof(f834,plain,
( e21 = h(e11)
| ~ spl0_19 ),
inference(superposition,[],[f28,f253]) ).
fof(f848,plain,
( e14 = j(e21)
| ~ spl0_29 ),
inference(superposition,[],[f20,f295]) ).
fof(f851,plain,
( e13 = j(e20)
| ~ spl0_35 ),
inference(superposition,[],[f21,f320]) ).
fof(f864,plain,
( spl0_34
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f628,f243,f314]) ).
fof(f867,plain,
( $false
| spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f848,f240]) ).
fof(f868,plain,
( spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f867]) ).
fof(f869,plain,
( $false
| spl0_1
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f435,f177]) ).
fof(f870,plain,
( spl0_1
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f869]) ).
fof(f879,plain,
( e14 = j(e20)
| ~ spl0_30 ),
inference(superposition,[],[f20,f299]) ).
fof(f880,plain,
( $false
| spl0_21
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f879,f261]) ).
fof(f881,plain,
( spl0_21
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f880]) ).
fof(f882,plain,
( e11 = e14
| ~ spl0_9
| ~ spl0_27 ),
inference(forward_demodulation,[],[f440,f211]) ).
fof(f889,plain,
( $false
| ~ spl0_9
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f882,f168]) ).
fof(f890,plain,
( ~ spl0_9
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f893,plain,
( e13 = e14
| ~ spl0_7
| ~ spl0_27 ),
inference(forward_demodulation,[],[f440,f203]) ).
fof(f897,plain,
( $false
| ~ spl0_7
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f893,f165]) ).
fof(f898,plain,
( ~ spl0_7
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f905,plain,
( j(e22) = op1(j(e24),e14)
| ~ spl0_6 ),
inference(superposition,[],[f386,f199]) ).
fof(f906,plain,
( e23 = h(e14)
| ~ spl0_6 ),
inference(superposition,[],[f26,f199]) ).
fof(f907,plain,
( op1(e11,e14) = j(e22)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f905,f190]) ).
fof(f912,plain,
( e14 = j(e23)
| ~ spl0_27 ),
inference(superposition,[],[f20,f287]) ).
fof(f918,plain,
( e12 = j(e20)
| ~ spl0_40 ),
inference(superposition,[],[f22,f341]) ).
fof(f926,plain,
( j(e21) = op1(e11,j(e22))
| ~ spl0_4 ),
inference(superposition,[],[f387,f190]) ).
fof(f929,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f926,f236]) ).
fof(f931,plain,
( e13 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f929,f245]) ).
fof(f933,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f931,f124]) ).
fof(f936,plain,
( $false
| ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f933,f169]) ).
fof(f937,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f936]) ).
fof(f945,plain,
( e13 = op1(e11,e14)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f907,f224]) ).
fof(f948,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f945,f120]) ).
fof(f952,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f948,f172]) ).
fof(f953,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f952]) ).
fof(f958,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f823,f215]) ).
fof(f959,plain,
( e10 = e14
| ~ spl0_10
| ~ spl0_27 ),
inference(forward_demodulation,[],[f912,f215]) ).
fof(f962,plain,
( e13 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f958,f224]) ).
fof(f963,plain,
( $false
| ~ spl0_10
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f959,f171]) ).
fof(f964,plain,
( ~ spl0_10
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f963]) ).
fof(f965,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f962,f124]) ).
fof(f966,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f965,f169]) ).
fof(f967,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f966]) ).
fof(f977,plain,
( spl0_23
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f918,f339,f268]) ).
fof(f986,plain,
( e21 = e24
| ~ spl0_2
| ~ spl0_34 ),
inference(forward_demodulation,[],[f746,f316]) ).
fof(f989,plain,
( $false
| ~ spl0_2
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f986,f158]) ).
fof(f990,plain,
( ~ spl0_2
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f989]) ).
fof(f994,plain,
( op1(e13,e13) = j(e20)
| ~ spl0_2 ),
inference(superposition,[],[f385,f182]) ).
fof(f999,plain,
( e13 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f994,f266]) ).
fof(f1002,plain,
( e11 = e13
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f999,f111]) ).
fof(f1003,plain,
( $false
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1002,f169]) ).
fof(f1004,plain,
( ~ spl0_2
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1003]) ).
fof(f1008,plain,
( e14 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f994,f262]) ).
fof(f1009,plain,
( e11 = e14
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1008,f111]) ).
fof(f1010,plain,
( $false
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1009,f168]) ).
fof(f1011,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1010]) ).
fof(f1031,plain,
( e22 = h(e10)
| ~ spl0_15 ),
inference(superposition,[],[f27,f236]) ).
fof(f1046,plain,
( e21 = h(e10)
| ~ spl0_20 ),
inference(superposition,[],[f28,f257]) ).
fof(f1054,plain,
( e21 = h(e12)
| ~ spl0_18 ),
inference(superposition,[],[f28,f249]) ).
fof(f1055,plain,
( spl0_39
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1054,f247,f335]) ).
fof(f1065,plain,
( e12 = j(e22)
| ~ spl0_38 ),
inference(superposition,[],[f22,f333]) ).
fof(f1073,plain,
( e12 = j(e21)
| ~ spl0_39 ),
inference(superposition,[],[f22,f337]) ).
fof(f1088,plain,
( e13 = op1(e13,j(e20))
| ~ spl0_2 ),
inference(superposition,[],[f389,f182]) ).
fof(f1091,plain,
( e13 = op1(e13,e11)
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1088,f274]) ).
fof(f1093,plain,
( e10 = e13
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1091,f113]) ).
fof(f1096,plain,
( $false
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1093,f172]) ).
fof(f1097,plain,
( ~ spl0_2
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1096]) ).
fof(f1098,plain,
( e21 = e24
| ~ spl0_3
| ~ spl0_39 ),
inference(forward_demodulation,[],[f763,f337]) ).
fof(f1100,plain,
( e12 = e14
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f241,f249]) ).
fof(f1119,plain,
( $false
| ~ spl0_3
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1098,f158]) ).
fof(f1120,plain,
( ~ spl0_3
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1119]) ).
fof(f1121,plain,
( $false
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1100,f166]) ).
fof(f1122,plain,
( ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1121]) ).
fof(f1148,plain,
( op1(e12,e12) = j(e20)
| ~ spl0_3 ),
inference(superposition,[],[f385,f186]) ).
fof(f1157,plain,
( e14 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1148,f262]) ).
fof(f1161,plain,
( e11 = e14
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1157,f117]) ).
fof(f1162,plain,
( $false
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1161,f168]) ).
fof(f1163,plain,
( ~ spl0_3
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1162]) ).
fof(f1176,plain,
( spl0_13
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1065,f331,f226]) ).
fof(f1178,plain,
( spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f800,f176,f281]) ).
fof(f1179,plain,
( e24 = h(e14)
| ~ spl0_1 ),
inference(superposition,[],[f25,f178]) ).
fof(f1181,plain,
( op1(e14,e14) = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f385,f178]) ).
fof(f1185,plain,
( e14 = op1(e14,j(e20))
| ~ spl0_1 ),
inference(superposition,[],[f389,f178]) ).
fof(f1190,plain,
( e14 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1181,f262]) ).
fof(f1195,plain,
( e11 = e14
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1190,f105]) ).
fof(f1198,plain,
( $false
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1195,f168]) ).
fof(f1199,plain,
( ~ spl0_1
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1198]) ).
fof(f1202,plain,
( e13 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1181,f266]) ).
fof(f1204,plain,
( e11 = e13
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1202,f105]) ).
fof(f1207,plain,
( $false
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1204,f169]) ).
fof(f1208,plain,
( ~ spl0_1
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1207]) ).
fof(f1211,plain,
( e14 = op1(e14,e11)
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1185,f274]) ).
fof(f1213,plain,
( e13 = e14
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1211,f108]) ).
fof(f1214,plain,
( $false
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1213,f165]) ).
fof(f1215,plain,
( ~ spl0_1
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1214]) ).
fof(f1221,plain,
( e13 = e14
| ~ spl0_12
| ~ spl0_28 ),
inference(forward_demodulation,[],[f459,f224]) ).
fof(f1232,plain,
( $false
| ~ spl0_12
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1221,f165]) ).
fof(f1233,plain,
( ~ spl0_12
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1232]) ).
fof(f1248,plain,
( op1(e12,e12) = j(e20)
| ~ spl0_3 ),
inference(superposition,[],[f385,f186]) ).
fof(f1257,plain,
( e13 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1248,f266]) ).
fof(f1262,plain,
( e11 = e13
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1257,f117]) ).
fof(f1265,plain,
( $false
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1262,f169]) ).
fof(f1266,plain,
( ~ spl0_3
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1265]) ).
fof(f1287,plain,
( op1(e11,e11) = j(e20)
| ~ spl0_4 ),
inference(superposition,[],[f385,f190]) ).
fof(f1288,plain,
( j(e22) = op1(e11,j(e23))
| ~ spl0_4 ),
inference(superposition,[],[f386,f190]) ).
fof(f1289,plain,
( j(e21) = op1(e11,j(e22))
| ~ spl0_4 ),
inference(superposition,[],[f387,f190]) ).
fof(f1290,plain,
( j(e23) = op1(e11,j(e21))
| ~ spl0_4 ),
inference(superposition,[],[f388,f190]) ).
fof(f1294,plain,
( op1(e11,e14) = j(e21)
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1289,f220]) ).
fof(f1295,plain,
( op1(e11,e11) = j(e22)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1288,f211]) ).
fof(f1296,plain,
( e13 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1287,f266]) ).
fof(f1298,plain,
( e12 = op1(e11,e14)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1294,f249]) ).
fof(f1299,plain,
( e14 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1295,f220]) ).
fof(f1300,plain,
( e12 = e13
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1296,f123]) ).
fof(f1301,plain,
( e10 = e12
| ~ spl0_4
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1298,f120]) ).
fof(f1302,plain,
( e12 = e14
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1299,f123]) ).
fof(f1303,plain,
( $false
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1300,f167]) ).
fof(f1304,plain,
( ~ spl0_4
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1303]) ).
fof(f1305,plain,
( $false
| ~ spl0_4
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1301,f173]) ).
fof(f1306,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1305]) ).
fof(f1307,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1302,f166]) ).
fof(f1308,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1307]) ).
fof(f1315,plain,
( $false
| spl0_22
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f851,f265]) ).
fof(f1316,plain,
( spl0_22
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f1315]) ).
fof(f1320,plain,
( spl0_18
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1073,f335,f247]) ).
fof(f1324,plain,
( e13 = op1(e11,e14)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1294,f245]) ).
fof(f1327,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1288,f215]) ).
fof(f1335,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1324,f120]) ).
fof(f1336,plain,
( e14 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1327,f220]) ).
fof(f1337,plain,
( $false
| ~ spl0_4
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1335,f172]) ).
fof(f1338,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1337]) ).
fof(f1339,plain,
( e11 = e14
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1336,f124]) ).
fof(f1340,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1339,f168]) ).
fof(f1341,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1340]) ).
fof(f1353,plain,
( op1(e11,e14) = j(e23)
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1290,f241]) ).
fof(f1362,plain,
( e13 = op1(e11,e14)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1353,f203]) ).
fof(f1365,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1362,f120]) ).
fof(f1367,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1365,f172]) ).
fof(f1368,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1367]) ).
fof(f1378,plain,
( $false
| spl0_7
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f527,f202]) ).
fof(f1379,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1378]) ).
fof(f1392,plain,
( e11 = e14
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f178,f190]) ).
fof(f1394,plain,
( spl0_50
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f629,f276,f381]) ).
fof(f1411,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1392,f168]) ).
fof(f1412,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f1411]) ).
fof(f1431,plain,
( e14 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1287,f262]) ).
fof(f1435,plain,
( e12 = e14
| ~ spl0_4
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1431,f123]) ).
fof(f1439,plain,
( $false
| ~ spl0_4
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1435,f166]) ).
fof(f1440,plain,
( ~ spl0_4
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1439]) ).
fof(f1456,plain,
( op1(e11,e14) = j(e23)
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1290,f241]) ).
fof(f1461,plain,
( e11 = op1(e11,e14)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1456,f211]) ).
fof(f1464,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1461,f120]) ).
fof(f1466,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1464,f174]) ).
fof(f1467,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1466]) ).
fof(f1476,plain,
( e12 = op1(e11,e14)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1456,f207]) ).
fof(f1478,plain,
( e10 = e12
| ~ spl0_4
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1476,f120]) ).
fof(f1479,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1478,f173]) ).
fof(f1480,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1479]) ).
fof(f1483,plain,
( e20 = e21
| ~ spl0_20
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1046,f383]) ).
fof(f1493,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1290,f257]) ).
fof(f1501,plain,
( $false
| ~ spl0_20
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1483,f164]) ).
fof(f1502,plain,
( ~ spl0_20
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1501]) ).
fof(f1505,plain,
( e13 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1493,f203]) ).
fof(f1508,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1505,f124]) ).
fof(f1509,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1508,f169]) ).
fof(f1510,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1509]) ).
fof(f1511,plain,
( e11 = e13
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f182,f190]) ).
fof(f1513,plain,
( spl0_27
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f906,f197,f285]) ).
fof(f1541,plain,
( op1(e11,e14) = j(e22)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1288,f199]) ).
fof(f1542,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1511,f169]) ).
fof(f1543,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f1542]) ).
fof(f1550,plain,
( e11 = op1(e11,e14)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1541,f232]) ).
fof(f1552,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1550,f120]) ).
fof(f1555,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1552,f174]) ).
fof(f1556,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1555]) ).
fof(f1572,plain,
( e12 = op1(e11,e14)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1541,f228]) ).
fof(f1575,plain,
( e10 = e12
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1572,f120]) ).
fof(f1576,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1575,f173]) ).
fof(f1577,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1576]) ).
fof(f1592,plain,
( j(e23) = op1(e12,j(e21))
| ~ spl0_3 ),
inference(superposition,[],[f388,f186]) ).
fof(f1595,plain,
( op1(e12,e13) = j(e23)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1592,f245]) ).
fof(f1599,plain,
( e14 = op1(e12,e13)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1595,f199]) ).
fof(f1602,plain,
( e10 = e14
| ~ spl0_3
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1599,f116]) ).
fof(f1603,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1602,f171]) ).
fof(f1604,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1603]) ).
fof(f1620,plain,
( e20 = e24
| ~ spl0_5
| ~ spl0_50 ),
inference(forward_demodulation,[],[f681,f383]) ).
fof(f1624,plain,
( $false
| ~ spl0_5
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1620,f161]) ).
fof(f1625,plain,
( ~ spl0_5
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1624]) ).
fof(f1627,plain,
( e23 = e24
| ~ spl0_1
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1179,f287]) ).
fof(f1635,plain,
( $false
| ~ spl0_1
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1627,f155]) ).
fof(f1636,plain,
( ~ spl0_1
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1635]) ).
fof(f1640,plain,
( spl0_44
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f834,f251,f356]) ).
fof(f1658,plain,
( j(e21) = op1(e12,j(e22))
| ~ spl0_3 ),
inference(superposition,[],[f387,f186]) ).
fof(f1663,plain,
( op1(e12,e13) = j(e21)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1658,f224]) ).
fof(f1667,plain,
( e11 = op1(e12,e13)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1663,f253]) ).
fof(f1669,plain,
( e10 = e11
| ~ spl0_3
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1667,f116]) ).
fof(f1670,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1669,f174]) ).
fof(f1671,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1670]) ).
fof(f1690,plain,
( j(e21) = op1(e13,j(e22))
| ~ spl0_2 ),
inference(superposition,[],[f387,f182]) ).
fof(f1691,plain,
( j(e23) = op1(e13,j(e21))
| ~ spl0_2 ),
inference(superposition,[],[f388,f182]) ).
fof(f1694,plain,
( op1(e13,e11) = j(e23)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1691,f253]) ).
fof(f1698,plain,
( e14 = op1(e13,e11)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1694,f199]) ).
fof(f1701,plain,
( e10 = e14
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1698,f113]) ).
fof(f1703,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1701,f171]) ).
fof(f1704,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1703]) ).
fof(f1714,plain,
( op1(e13,e11) = j(e21)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1690,f232]) ).
fof(f1717,plain,
( e12 = op1(e13,e11)
| ~ spl0_2
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1714,f249]) ).
fof(f1718,plain,
( e10 = e12
| ~ spl0_2
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1717,f113]) ).
fof(f1719,plain,
( $false
| ~ spl0_2
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1718,f173]) ).
fof(f1720,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1719]) ).
fof(f1739,plain,
( j(e22) = op1(e12,j(e23))
| ~ spl0_3 ),
inference(superposition,[],[f386,f186]) ).
fof(f1741,plain,
( j(e23) = op1(e12,j(e21))
| ~ spl0_3 ),
inference(superposition,[],[f388,f186]) ).
fof(f1744,plain,
( op1(e12,e10) = j(e23)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1741,f257]) ).
fof(f1748,plain,
( e14 = op1(e12,e10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1744,f199]) ).
fof(f1751,plain,
( e12 = e14
| ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1748,f119]) ).
fof(f1752,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1751,f166]) ).
fof(f1753,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1752]) ).
fof(f1764,plain,
( op1(e12,e13) = j(e22)
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1739,f203]) ).
fof(f1767,plain,
( e14 = op1(e12,e13)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1764,f220]) ).
fof(f1769,plain,
( e10 = e14
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1767,f116]) ).
fof(f1772,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1769,f171]) ).
fof(f1773,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1772]) ).
fof(f1774,plain,
( e12 = e14
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f178,f186]) ).
fof(f1791,plain,
( e11 = op1(e12,e13)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1764,f232]) ).
fof(f1792,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1774,f166]) ).
fof(f1793,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f1792]) ).
fof(f1798,plain,
( e10 = e11
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1791,f116]) ).
fof(f1799,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1798,f174]) ).
fof(f1800,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1799]) ).
fof(f1812,plain,
( j(e21) = op1(e14,j(e22))
| ~ spl0_1 ),
inference(superposition,[],[f387,f178]) ).
fof(f1813,plain,
( j(e23) = op1(e14,j(e21))
| ~ spl0_1 ),
inference(superposition,[],[f388,f178]) ).
fof(f1817,plain,
( op1(e14,e12) = j(e21)
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1812,f228]) ).
fof(f1821,plain,
( e11 = op1(e14,e12)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1817,f253]) ).
fof(f1823,plain,
( e10 = e11
| ~ spl0_1
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1821,f107]) ).
fof(f1824,plain,
( $false
| ~ spl0_1
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1823,f174]) ).
fof(f1825,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1824]) ).
fof(f1828,plain,
( e11 = e12
| ~ spl0_19
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1073,f253]) ).
fof(f1839,plain,
( $false
| ~ spl0_19
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1828,f170]) ).
fof(f1840,plain,
( ~ spl0_19
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1839]) ).
fof(f1844,plain,
( e13 = op1(e14,j(e21))
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1813,f203]) ).
fof(f1846,plain,
( e13 = op1(e14,e12)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1844,f249]) ).
fof(f1847,plain,
( e10 = e13
| ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1846,f107]) ).
fof(f1848,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1847,f172]) ).
fof(f1849,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1848]) ).
fof(f1853,plain,
( op1(e14,e13) = j(e21)
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1812,f224]) ).
fof(f1857,plain,
( op1(e14,e12) = j(e23)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1813,f249]) ).
fof(f1860,plain,
( e11 = op1(e14,e12)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1857,f211]) ).
fof(f1861,plain,
( e10 = e11
| ~ spl0_1
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1860,f107]) ).
fof(f1862,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1861,f174]) ).
fof(f1863,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1862]) ).
fof(f1868,plain,
( e14 = op1(e14,e13)
| ~ spl0_1
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1853,f241]) ).
fof(f1870,plain,
( e12 = e14
| ~ spl0_1
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1868,f106]) ).
fof(f1871,plain,
( $false
| ~ spl0_1
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1870,f166]) ).
fof(f1872,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1871]) ).
fof(f1885,plain,
( op1(e14,e12) = j(e21)
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1812,f228]) ).
fof(f1887,plain,
( e13 = op1(e14,e12)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1885,f245]) ).
fof(f1888,plain,
( e10 = e13
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1887,f107]) ).
fof(f1889,plain,
( $false
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1888,f172]) ).
fof(f1890,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1889]) ).
fof(f1907,plain,
( e23 = h(e10)
| ~ spl0_10 ),
inference(superposition,[],[f26,f215]) ).
fof(f1913,plain,
( e20 = e23
| ~ spl0_10
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1907,f383]) ).
fof(f1916,plain,
( $false
| ~ spl0_10
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1913,f162]) ).
fof(f1917,plain,
( ~ spl0_10
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1916]) ).
fof(f1928,plain,
( op1(e14,e14) = j(e23)
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1813,f241]) ).
fof(f1934,plain,
( e13 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1928,f203]) ).
fof(f1937,plain,
( e11 = e13
| ~ spl0_1
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1934,f105]) ).
fof(f1939,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1937,f169]) ).
fof(f1940,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1939]) ).
fof(f1964,plain,
( e20 = e22
| ~ spl0_15
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1031,f383]) ).
fof(f1977,plain,
( $false
| ~ spl0_15
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1964,f163]) ).
fof(f1978,plain,
( ~ spl0_15
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1977]) ).
fof(f1991,plain,
( j(e22) = op1(e12,j(e23))
| ~ spl0_3 ),
inference(superposition,[],[f386,f186]) ).
fof(f1992,plain,
( j(e21) = op1(e12,j(e22))
| ~ spl0_3 ),
inference(superposition,[],[f387,f186]) ).
fof(f1997,plain,
( op1(e12,e12) = j(e21)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1992,f228]) ).
fof(f1998,plain,
( op1(e12,e13) = j(e22)
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1991,f203]) ).
fof(f2001,plain,
( e14 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1997,f241]) ).
fof(f2002,plain,
( e12 = op1(e12,e13)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1998,f228]) ).
fof(f2003,plain,
( e11 = e14
| ~ spl0_3
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2001,f117]) ).
fof(f2004,plain,
( e10 = e12
| ~ spl0_3
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2002,f116]) ).
fof(f2005,plain,
( $false
| ~ spl0_3
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2003,f168]) ).
fof(f2006,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2005]) ).
fof(f2007,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f2004,f173]) ).
fof(f2008,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2007]) ).
fof(f2012,plain,
( op1(e12,e13) = j(e21)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1992,f224]) ).
fof(f2013,plain,
( e13 = op1(e12,e13)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1998,f224]) ).
fof(f2014,plain,
( e14 = op1(e12,e13)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2012,f241]) ).
fof(f2015,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2013,f116]) ).
fof(f2016,plain,
( e10 = e14
| ~ spl0_3
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2014,f116]) ).
fof(f2017,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f2015,f172]) ).
fof(f2018,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f2017]) ).
fof(f2019,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2016,f171]) ).
fof(f2020,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2019]) ).
fof(f2031,plain,
( op1(e12,e10) = j(e21)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1992,f236]) ).
fof(f2033,plain,
( e14 = op1(e12,e10)
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2031,f241]) ).
fof(f2034,plain,
( e12 = e14
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2033,f119]) ).
fof(f2035,plain,
( $false
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2034,f166]) ).
fof(f2036,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2035]) ).
fof(f2055,plain,
( j(e22) = op1(e13,j(e23))
| ~ spl0_2 ),
inference(superposition,[],[f386,f182]) ).
fof(f2056,plain,
( j(e21) = op1(e13,j(e22))
| ~ spl0_2 ),
inference(superposition,[],[f387,f182]) ).
fof(f2057,plain,
( j(e23) = op1(e13,j(e21))
| ~ spl0_2 ),
inference(superposition,[],[f388,f182]) ).
fof(f2060,plain,
( op1(e13,e14) = j(e23)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2057,f241]) ).
fof(f2062,plain,
( op1(e13,e13) = j(e22)
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2055,f203]) ).
fof(f2064,plain,
( e13 = op1(e13,e14)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2060,f203]) ).
fof(f2066,plain,
( e12 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2062,f228]) ).
fof(f2067,plain,
( e12 = e13
| ~ spl0_2
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2064,f110]) ).
fof(f2068,plain,
( e11 = e12
| ~ spl0_2
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2066,f111]) ).
fof(f2069,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2067,f167]) ).
fof(f2070,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2069]) ).
fof(f2071,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f2068,f170]) ).
fof(f2072,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2071]) ).
fof(f2078,plain,
( op1(e13,e11) = j(e21)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[],[f2056,f232]) ).
fof(f2081,plain,
( op1(e13,e11) = j(e22)
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2055,f211]) ).
fof(f2083,plain,
( e14 = op1(e13,e11)
| ~ spl0_2
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2078,f241]) ).
fof(f2085,plain,
( e10 = e14
| ~ spl0_2
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2083,f113]) ).
fof(f2087,plain,
( $false
| ~ spl0_2
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2085,f171]) ).
fof(f2088,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2087]) ).
fof(f2096,plain,
( op1(e13,e14) = j(e21)
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2056,f220]) ).
fof(f2097,plain,
( e14 = op1(e13,e11)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2081,f220]) ).
fof(f2102,plain,
( e14 = op1(e13,e14)
| ~ spl0_2
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2096,f241]) ).
fof(f2103,plain,
( e10 = e14
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2097,f113]) ).
fof(f2104,plain,
( e12 = e14
| ~ spl0_2
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2102,f110]) ).
fof(f2105,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f2103,f171]) ).
fof(f2106,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2105]) ).
fof(f2107,plain,
( $false
| ~ spl0_2
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2104,f166]) ).
fof(f2108,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2107]) ).
fof(f2116,plain,
( e12 = op1(e13,e11)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2081,f228]) ).
fof(f2118,plain,
( e10 = e12
| ~ spl0_2
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f2116,f113]) ).
fof(f2119,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f2118,f173]) ).
fof(f2120,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2119]) ).
fof(f2133,plain,
( op1(e13,e11) = j(e23)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2057,f253]) ).
fof(f2140,plain,
( e12 = op1(e13,e11)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2133,f207]) ).
fof(f2143,plain,
( e10 = e12
| ~ spl0_2
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2140,f113]) ).
fof(f2144,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f2143,f173]) ).
fof(f2145,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f2144]) ).
fof(f2169,plain,
( j(e22) = op1(e12,j(e23))
| ~ spl0_3 ),
inference(superposition,[],[f386,f186]) ).
fof(f2171,plain,
( j(e23) = op1(e12,j(e21))
| ~ spl0_3 ),
inference(superposition,[],[f388,f186]) ).
fof(f2174,plain,
( op1(e12,e13) = j(e23)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2171,f245]) ).
fof(f2176,plain,
( op1(e12,e10) = j(e22)
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2169,f215]) ).
fof(f2180,plain,
( e14 = op1(e12,e10)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2176,f220]) ).
fof(f2181,plain,
( e12 = e14
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f2180,f119]) ).
fof(f2182,plain,
( $false
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f2181,f166]) ).
fof(f2183,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2182]) ).
fof(f2194,plain,
( e11 = op1(e12,e13)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2174,f211]) ).
fof(f2196,plain,
( e10 = e11
| ~ spl0_3
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2194,f116]) ).
fof(f2197,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2196,f174]) ).
fof(f2198,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f2197]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f195]) ).
cnf(s2,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f216]) ).
cnf(s3,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f237]) ).
cnf(s4,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f258]) ).
cnf(s5,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f279]) ).
cnf(s6,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f300]) ).
cnf(s7,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f321]) ).
cnf(s8,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(sat_conversion,[],[f342]) ).
cnf(s9,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f363]) ).
cnf(s11,plain,
( ~ spl0_2
| ~ spl0_26 ),
inference(sat_conversion,[],[f438]) ).
cnf(s12,plain,
( spl0_3
| ~ spl0_36 ),
inference(sat_conversion,[],[f443]) ).
cnf(s13,plain,
( spl0_8
| ~ spl0_37 ),
inference(sat_conversion,[],[f446]) ).
cnf(s16,plain,
( ~ spl0_8
| ~ spl0_27 ),
inference(sat_conversion,[],[f456]) ).
cnf(s17,plain,
( spl0_4
| ~ spl0_41 ),
inference(sat_conversion,[],[f461]) ).
cnf(s18,plain,
( spl0_9
| ~ spl0_42 ),
inference(sat_conversion,[],[f464]) ).
cnf(s19,plain,
( spl0_14
| ~ spl0_43 ),
inference(sat_conversion,[],[f468]) ).
cnf(s21,plain,
( ~ spl0_11
| ~ spl0_14 ),
inference(sat_conversion,[],[f474]) ).
cnf(s22,plain,
( spl0_19
| ~ spl0_44 ),
inference(sat_conversion,[],[f480]) ).
cnf(s24,plain,
( ~ spl0_16
| ~ spl0_19 ),
inference(sat_conversion,[],[f486]) ).
cnf(s35,plain,
( ~ spl0_8
| ~ spl0_32 ),
inference(sat_conversion,[],[f530]) ).
cnf(s36,plain,
( spl0_12
| ~ spl0_33 ),
inference(sat_conversion,[],[f534]) ).
cnf(s37,plain,
( ~ spl0_19
| ~ spl0_34 ),
inference(sat_conversion,[],[f541]) ).
cnf(s38,plain,
( spl0_17
| ~ spl0_34 ),
inference(sat_conversion,[],[f543]) ).
cnf(s39,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f547]) ).
cnf(s40,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f549]) ).
cnf(s41,plain,
( spl0_24
| ~ spl0_45 ),
inference(sat_conversion,[],[f557]) ).
cnf(s45,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f572]) ).
cnf(s48,plain,
( spl0_11
| ~ spl0_28 ),
inference(sat_conversion,[],[f591]) ).
cnf(s54,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(sat_conversion,[],[f643]) ).
cnf(s57,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_11 ),
inference(sat_conversion,[],[f659]) ).
cnf(s60,plain,
( ~ spl0_5
| ~ spl0_24 ),
inference(sat_conversion,[],[f687]) ).
cnf(s61,plain,
( ~ spl0_5
| ~ spl0_23 ),
inference(sat_conversion,[],[f694]) ).
cnf(s62,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(sat_conversion,[],[f700]) ).
cnf(s63,plain,
( ~ spl0_5
| ~ spl0_22 ),
inference(sat_conversion,[],[f706]) ).
cnf(s64,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f708]) ).
cnf(s68,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_14 ),
inference(sat_conversion,[],[f734]) ).
cnf(s69,plain,
( ~ spl0_2
| ~ spl0_23 ),
inference(sat_conversion,[],[f752]) ).
cnf(s74,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_12 ),
inference(sat_conversion,[],[f790]) ).
cnf(s76,plain,
( ~ spl0_1
| ~ spl0_23 ),
inference(sat_conversion,[],[f808]) ).
cnf(s79,plain,
( ~ spl0_4
| ~ spl0_44 ),
inference(sat_conversion,[],[f820]) ).
cnf(s85,plain,
( ~ spl0_17
| spl0_34 ),
inference(sat_conversion,[],[f864]) ).
cnf(s86,plain,
( spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f868]) ).
cnf(s87,plain,
( spl0_1
| ~ spl0_26 ),
inference(sat_conversion,[],[f870]) ).
cnf(s88,plain,
( spl0_21
| ~ spl0_30 ),
inference(sat_conversion,[],[f881]) ).
cnf(s89,plain,
( ~ spl0_9
| ~ spl0_27 ),
inference(sat_conversion,[],[f890]) ).
cnf(s90,plain,
( ~ spl0_7
| ~ spl0_27 ),
inference(sat_conversion,[],[f898]) ).
cnf(s92,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f937]) ).
cnf(s94,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(sat_conversion,[],[f953]) ).
cnf(s96,plain,
( ~ spl0_10
| ~ spl0_27 ),
inference(sat_conversion,[],[f964]) ).
cnf(s97,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(sat_conversion,[],[f967]) ).
cnf(s100,plain,
( spl0_23
| ~ spl0_40 ),
inference(sat_conversion,[],[f977]) ).
cnf(s102,plain,
( ~ spl0_2
| ~ spl0_34 ),
inference(sat_conversion,[],[f990]) ).
cnf(s103,plain,
( ~ spl0_2
| ~ spl0_22 ),
inference(sat_conversion,[],[f1004]) ).
cnf(s104,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(sat_conversion,[],[f1011]) ).
cnf(s108,plain,
( ~ spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f1055]) ).
cnf(s111,plain,
( ~ spl0_2
| ~ spl0_24 ),
inference(sat_conversion,[],[f1097]) ).
cnf(s116,plain,
( ~ spl0_3
| ~ spl0_39 ),
inference(sat_conversion,[],[f1120]) ).
cnf(s117,plain,
( ~ spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f1122]) ).
cnf(s124,plain,
( ~ spl0_3
| ~ spl0_21 ),
inference(sat_conversion,[],[f1163]) ).
cnf(s128,plain,
( spl0_13
| ~ spl0_38 ),
inference(sat_conversion,[],[f1176]) ).
cnf(s129,plain,
( ~ spl0_1
| spl0_26 ),
inference(sat_conversion,[],[f1178]) ).
cnf(s131,plain,
( ~ spl0_1
| ~ spl0_21 ),
inference(sat_conversion,[],[f1199]) ).
cnf(s133,plain,
( ~ spl0_1
| ~ spl0_22 ),
inference(sat_conversion,[],[f1208]) ).
cnf(s135,plain,
( ~ spl0_1
| ~ spl0_24 ),
inference(sat_conversion,[],[f1215]) ).
cnf(s140,plain,
( ~ spl0_12
| ~ spl0_28 ),
inference(sat_conversion,[],[f1233]) ).
cnf(s147,plain,
( ~ spl0_3
| ~ spl0_22 ),
inference(sat_conversion,[],[f1266]) ).
cnf(s154,plain,
( ~ spl0_4
| ~ spl0_22 ),
inference(sat_conversion,[],[f1304]) ).
cnf(s155,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_18 ),
inference(sat_conversion,[],[f1306]) ).
cnf(s156,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f1308]) ).
cnf(s158,plain,
( spl0_22
| ~ spl0_35 ),
inference(sat_conversion,[],[f1316]) ).
cnf(s159,plain,
( spl0_18
| ~ spl0_39 ),
inference(sat_conversion,[],[f1320]) ).
cnf(s163,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f1338]) ).
cnf(s164,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f1341]) ).
cnf(s173,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_16 ),
inference(sat_conversion,[],[f1368]) ).
cnf(s175,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f1379]) ).
cnf(s183,plain,
( ~ spl0_25
| spl0_50 ),
inference(sat_conversion,[],[f1394]) ).
cnf(s184,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f1412]) ).
cnf(s190,plain,
( ~ spl0_4
| ~ spl0_21 ),
inference(sat_conversion,[],[f1440]) ).
cnf(s193,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_16 ),
inference(sat_conversion,[],[f1467]) ).
cnf(s196,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_16 ),
inference(sat_conversion,[],[f1480]) ).
cnf(s198,plain,
( ~ spl0_20
| ~ spl0_50 ),
inference(sat_conversion,[],[f1502]) ).
cnf(s200,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(sat_conversion,[],[f1510]) ).
cnf(s203,plain,
( ~ spl0_6
| spl0_27 ),
inference(sat_conversion,[],[f1513]) ).
cnf(s207,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f1543]) ).
cnf(s211,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_14 ),
inference(sat_conversion,[],[f1556]) ).
cnf(s214,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_13 ),
inference(sat_conversion,[],[f1577]) ).
cnf(s219,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_17 ),
inference(sat_conversion,[],[f1604]) ).
cnf(s225,plain,
( ~ spl0_5
| ~ spl0_50 ),
inference(sat_conversion,[],[f1625]) ).
cnf(s227,plain,
( ~ spl0_1
| ~ spl0_27 ),
inference(sat_conversion,[],[f1636]) ).
cnf(s233,plain,
( ~ spl0_19
| spl0_44 ),
inference(sat_conversion,[],[f1640]) ).
cnf(s234,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_19 ),
inference(sat_conversion,[],[f1671]) ).
cnf(s240,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(sat_conversion,[],[f1704]) ).
cnf(s244,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_18 ),
inference(sat_conversion,[],[f1720]) ).
cnf(s252,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(sat_conversion,[],[f1753]) ).
cnf(s255,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_11 ),
inference(sat_conversion,[],[f1773]) ).
cnf(s261,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f1793]) ).
cnf(s263,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_14 ),
inference(sat_conversion,[],[f1800]) ).
cnf(s264,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_19 ),
inference(sat_conversion,[],[f1825]) ).
cnf(s268,plain,
( ~ spl0_19
| ~ spl0_39 ),
inference(sat_conversion,[],[f1840]) ).
cnf(s271,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(sat_conversion,[],[f1849]) ).
cnf(s272,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_18 ),
inference(sat_conversion,[],[f1863]) ).
cnf(s274,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_16 ),
inference(sat_conversion,[],[f1872]) ).
cnf(s278,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f1890]) ).
cnf(s283,plain,
( ~ spl0_10
| ~ spl0_50 ),
inference(sat_conversion,[],[f1917]) ).
cnf(s285,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_16 ),
inference(sat_conversion,[],[f1940]) ).
cnf(s301,plain,
( ~ spl0_15
| ~ spl0_50 ),
inference(sat_conversion,[],[f1978]) ).
cnf(s303,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_16 ),
inference(sat_conversion,[],[f2006]) ).
cnf(s304,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_13 ),
inference(sat_conversion,[],[f2008]) ).
cnf(s305,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_12 ),
inference(sat_conversion,[],[f2018]) ).
cnf(s306,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_16 ),
inference(sat_conversion,[],[f2020]) ).
cnf(s310,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f2036]) ).
cnf(s315,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_16 ),
inference(sat_conversion,[],[f2070]) ).
cnf(s316,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_13 ),
inference(sat_conversion,[],[f2072]) ).
cnf(s325,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f2088]) ).
cnf(s329,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f2106]) ).
cnf(s330,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_16 ),
inference(sat_conversion,[],[f2108]) ).
cnf(s331,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_13 ),
inference(sat_conversion,[],[f2120]) ).
cnf(s335,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_19 ),
inference(sat_conversion,[],[f2145]) ).
cnf(s347,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f2183]) ).
cnf(s349,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_17 ),
inference(sat_conversion,[],[f2198]) ).
cnf(s350,plain,
~ spl0_5,
inference(rat,[],[s5,s183,s60,s61,s62,s63,s225]) ).
cnf(s352,plain,
( ~ spl0_10
| spl0_32
| ~ spl0_4
| spl0_31
| spl0_26 ),
inference(rat,[],[s39,s38,s86,s7,s6,s36,s48,s96,s97,s164,s88,s190,s158,s154]) ).
cnf(s353,plain,
( ~ spl0_9
| ~ spl0_4
| spl0_26 ),
inference(rat,[],[s6,s48,s86,s89,s156,s193,s88,s190]) ).
cnf(s354,plain,
( ~ spl0_8
| ~ spl0_4
| spl0_26 ),
inference(rat,[],[s6,s48,s86,s16,s54,s196,s88,s190]) ).
cnf(s355,plain,
( spl0_7
| spl0_6
| ~ spl0_4
| spl0_31
| spl0_26 ),
inference(rat,[],[s352,s2,s175,s353,s354]) ).
cnf(s356,plain,
( ~ spl0_7
| ~ spl0_4
| spl0_26 ),
inference(rat,[],[s4,s155,s163,s48,s6,s86,s90,s173,s200,s88,s190,s233,s79]) ).
cnf(s357,plain,
( ~ spl0_4
| spl0_31
| spl0_26 ),
inference(rat,[],[s3,s92,s163,s38,s7,s36,s94,s211,s214,s355,s175,s356,s158,s154]) ).
cnf(s358,plain,
( ~ spl0_16
| spl0_32
| ~ spl0_3
| spl0_31 ),
inference(rat,[],[s7,s36,s38,s306,s40,s158,s147]) ).
cnf(s359,plain,
( ~ spl0_27
| spl0_7
| spl0_6 ),
inference(rat,[],[s2,s16,s89,s96]) ).
cnf(s360,plain,
( spl0_7
| spl0_6
| ~ spl0_3
| spl0_31
| spl0_26 ),
inference(rat,[],[s349,s38,s2,s7,s57,s347,s36,s48,s140,s6,s359,s86,s358,s175,s158,s147,s88,s124]) ).
cnf(s361,plain,
( ~ spl0_7
| ~ spl0_3
| spl0_26 ),
inference(rat,[],[s86,s6,s310,s48,s3,s90,s255,s263,s304,s305,s88,s124]) ).
cnf(s362,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s36,s234,s7,s4,s38,s219,s252,s358,s360,s175,s361,s108,s158,s116,s147,s1,s357,s64,s87,s350]) ).
cnf(s363,plain,
( ~ spl0_16
| ~ spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3,s325,s330,s303,s306,s301,s183,s5,s111,s103,s69,s104]) ).
cnf(s364,plain,
( ~ spl0_3
| spl0_6
| spl0_7
| spl0_1 ),
inference(rat,[],[s329,s2,s48,s335,s6,s4,s86,s363,s108,s116,s87,s88,s85,s102,s283,s198,s183,s5,s111,s103,s69,s104,s362,s359]) ).
cnf(s365,plain,
( ~ spl0_16
| spl0_36
| ~ spl0_2 ),
inference(rat,[],[s8,s128,s13,s331,s45,s18,s9,s19,s22,s159,s325,s24,s117,s17,s207,s41,s111,s100,s69]) ).
cnf(s366,plain,
( spl0_6
| spl0_7
| spl0_1 ),
inference(rat,[],[s22,s335,s9,s2,s18,s19,s329,s21,s48,s6,s86,s365,s12,s364,s359,s87,s17,s207,s41,s88,s283,s183,s5,s111,s103,s69,s104,s362]) ).
cnf(s367,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4,s244,s325,s19,s9,s18,s89,s22,s203,s240,s17,s207,s41,s85,s102,s198,s183,s5,s111,s103,s69,s104]) ).
cnf(s368,plain,
spl0_1,
inference(rat,[],[s13,s8,s335,s268,s22,s9,s18,s19,s329,s21,s48,s6,s12,s86,s128,s361,s90,s315,s316,s366,s367,s100,s88,s41,s17,s69,s104,s111,s207,s362,s87]) ).
cnf(s369,plain,
~ spl0_3,
inference(rat,[],[s261,s368]) ).
cnf(s370,plain,
~ spl0_27,
inference(rat,[],[s227,s368]) ).
cnf(s371,plain,
~ spl0_4,
inference(rat,[],[s184,s368]) ).
cnf(s372,plain,
~ spl0_24,
inference(rat,[],[s135,s368]) ).
cnf(s373,plain,
~ spl0_22,
inference(rat,[],[s133,s368]) ).
cnf(s374,plain,
~ spl0_21,
inference(rat,[],[s131,s368]) ).
cnf(s375,plain,
spl0_26,
inference(rat,[],[s129,s368]) ).
cnf(s377,plain,
~ spl0_23,
inference(rat,[],[s76,s368]) ).
cnf(s378,plain,
~ spl0_36,
inference(rat,[],[s12,s369]) ).
cnf(s379,plain,
~ spl0_6,
inference(rat,[],[s203,s370]) ).
cnf(s380,plain,
~ spl0_41,
inference(rat,[],[s17,s371]) ).
cnf(s381,plain,
~ spl0_45,
inference(rat,[],[s41,s372]) ).
cnf(s382,plain,
spl0_25,
inference(rat,[],[s5,s374,s377,s373,s372]) ).
cnf(s383,plain,
~ spl0_35,
inference(rat,[],[s158,s373]) ).
cnf(s384,plain,
~ spl0_2,
inference(rat,[],[s11,s375]) ).
cnf(s385,plain,
~ spl0_40,
inference(rat,[],[s100,s377]) ).
cnf(s386,plain,
spl0_50,
inference(rat,[],[s183,s382]) ).
cnf(s387,plain,
~ spl0_31,
inference(rat,[],[s64,s384]) ).
cnf(s390,plain,
~ spl0_10,
inference(rat,[],[s283,s386]) ).
cnf(s393,plain,
~ spl0_20,
inference(rat,[],[s198,s386]) ).
cnf(s394,plain,
( ~ spl0_16
| spl0_32 ),
inference(rat,[],[s7,s36,s38,s274,s40,s383,s387,s368]) ).
cnf(s396,plain,
( spl0_8
| spl0_7 ),
inference(rat,[],[s4,s264,s278,s128,s8,s159,s272,s2,s13,s394,s175,s393,s368,s385,s378,s379,s390]) ).
cnf(s397,plain,
spl0_7,
inference(rat,[],[s22,s37,s9,s7,s18,s19,s36,s45,s68,s74,s396,s175,s380,s381,s383,s387,s368]) ).
cnf(s398,plain,
~ spl0_16,
inference(rat,[],[s285,s368,s397]) ).
cnf(s399,plain,
~ spl0_18,
inference(rat,[],[s271,s368,s397]) ).
cnf(s401,plain,
~ spl0_39,
inference(rat,[],[s159,s399]) ).
cnf(s402,plain,
~ spl0_13,
inference(rat,[],[s4,s264,s278,s398,s399,s393,s368]) ).
cnf(s403,plain,
~ spl0_38,
inference(rat,[],[s128,s402]) ).
cnf(s404,plain,
spl0_37,
inference(rat,[],[s8,s401,s378,s385,s403]) ).
cnf(s405,plain,
spl0_8,
inference(rat,[],[s13,s404]) ).
cnf(s406,plain,
~ spl0_12,
inference(rat,[],[s74,s368,s405]) ).
cnf(s407,plain,
~ spl0_14,
inference(rat,[],[s68,s368,s405]) ).
cnf(s408,plain,
~ spl0_9,
inference(rat,[],[s45,s405]) ).
cnf(s409,plain,
~ spl0_32,
inference(rat,[],[s35,s405]) ).
cnf(s411,plain,
~ spl0_33,
inference(rat,[],[s36,s406]) ).
cnf(s412,plain,
~ spl0_43,
inference(rat,[],[s19,s407]) ).
cnf(s413,plain,
~ spl0_42,
inference(rat,[],[s18,s408]) ).
cnf(s415,plain,
spl0_34,
inference(rat,[],[s7,s409,s387,s383,s411]) ).
cnf(s416,plain,
spl0_44,
inference(rat,[],[s9,s412,s381,s380,s413]) ).
cnf(s418,plain,
~ spl0_19,
inference(rat,[],[s37,s415]) ).
cnf(s419,plain,
$false,
inference(rat,[],[s22,s416,s418]) ).
fof(f2199,plain,
$false,
inference(avatar_sat_refutation,[],[s419]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG081+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n005.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 19:25:16 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.60/0.90 % (1067075)Detected formulas, will run a generic FOF schedule.
% 2.60/0.90 % (1067085)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3005960102:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.60/0.90 % (1067086)dis-21_1_sil=8000:lcm=predicate:random_seed=575669171:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.60/0.90 % (1067084)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1217252813:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.60/0.90 % (1067081)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3296920325:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.60/0.90 % (1067083)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3269699624:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.60/0.90 % (1067082)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1069659982:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.60/0.90 % (1067080)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2342293550:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.60/0.90 % (1067086)Refutation not found, incomplete strategy
% 2.60/0.90 % (1067086)------------------------------
% 2.60/0.90 % (1067086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/0.90 % (1067086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.90 % (1067086)CaDiCaL version: 2.1.3
% 2.60/0.90 % (1067086)Termination reason: Refutation not found, incomplete strategy
% 2.60/0.90 % (1067086)Time elapsed: 0.005 s
% 2.60/0.90 % (1067086)Peak memory usage: 88 MB
% 2.60/0.90 % (1067086)Instructions burned: 8 (million)
% 2.60/0.90 % (1067085)Instruction limit reached!
% 2.60/0.90 % (1067085)------------------------------
% 2.60/0.90 % (1067085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/0.90 % (1067085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.90 % (1067085)CaDiCaL version: 2.1.3
% 2.60/0.90 % (1067085)Termination reason: Instruction limit
% 2.60/0.90 % (1067085)Termination phase: Saturation
% 2.60/0.90 % (1067085)Time elapsed: 0.042 s
% 2.60/0.90 % (1067085)Peak memory usage: 89 MB
% 2.60/0.90 % (1067085)Instructions burned: 143 (million)
% 2.60/0.90 % (1067084)Instruction limit reached!
% 2.60/0.90 % (1067084)------------------------------
% 2.60/0.90 % (1067084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/0.90 % (1067084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.90 % (1067084)CaDiCaL version: 2.1.3
% 2.60/0.90 % (1067084)Termination reason: Instruction limit
% 2.60/0.90 % (1067084)Termination phase: Saturation
% 2.60/0.90 % (1067084)Time elapsed: 0.050 s
% 2.60/0.90 % (1067084)Peak memory usage: 87 MB
% 2.60/0.90 % (1067084)Instructions burned: 121 (million)
% 2.60/0.90 % (1067083)Refutation not found, incomplete strategy
% 2.60/0.90 % (1067083)------------------------------
% 2.60/0.90 % (1067083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/0.90 % (1067083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.90 % (1067083)CaDiCaL version: 2.1.3
% 2.60/0.90 % (1067083)Termination reason: Refutation not found, incomplete strategy
% 2.60/0.90 % (1067083)Time elapsed: 0.055 s
% 2.60/0.90 % (1067083)Peak memory usage: 89 MB
% 2.60/0.90 % (1067083)Instructions burned: 104 (million)
% 2.60/0.90 % (1067094)lrs+10_1_sil=8000:sp=occurrence:random_seed=95924657:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.60/0.90 % (1067094)First to succeed.
% 2.60/0.90 % (1067094)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1067075"
% 2.60/0.90 % (1067095)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2859571206:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.60/0.90 % (1067095)Also succeeded, but the first one will report.
% 2.60/0.90 % (1067086)------------------------------
% 2.60/0.90 % (1067086)------------------------------
% 2.60/0.90 % (1067083)------------------------------
% 2.60/0.90 % (1067083)------------------------------
% 2.60/0.90 % (1067094)Refutation found. Thanks to Tanya!
% 2.60/0.90 % SZS status Theorem for theBenchmark
% 2.60/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 3.67/0.99 % (1067094)------------------------------
% 3.67/0.99 % (1067094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/0.99 % (1067094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/0.99 % (1067094)CaDiCaL version: 2.1.3
% 3.67/0.99 % (1067094)Termination reason: Refutation
% 3.67/0.99 % (1067094)Time elapsed: 0.022 s
% 3.67/0.99 % (1067094)Peak memory usage: 90 MB
% 3.67/0.99 % (1067094)Instructions burned: 73 (million)
% 3.67/0.99 % (1067094)------------------------------
% 3.67/0.99 % (1067094)------------------------------
% 3.67/0.99 % (1067075)Success in time 0.483 s
% 3.67/0.99 % Vampire exiting
%------------------------------------------------------------------------------