%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG181+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 09:18:07 AM UTC 2026
% Result : Theorem 1.91s 1.13s
% Output : Refutation 3.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 50
% Syntax : Number of formulae : 703 ( 64 unt; 45 def)
% Number of atoms : 2460 ( 923 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 2999 (1242 ~;1370 |; 340 &)
% ( 45 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 47 ( 45 usr; 46 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( op1(e10,e10) = e13
& op1(e10,e11) = e12
& op1(e10,e12) = e10
& op1(e10,e13) = e11
& op1(e10,e14) = e14
& op1(e11,e10) = e10
& op1(e11,e11) = e14
& op1(e11,e12) = e11
& op1(e11,e13) = e12
& op1(e11,e14) = e13
& op1(e12,e10) = e11
& op1(e12,e11) = e13
& op1(e12,e12) = e12
& op1(e12,e13) = e14
& op1(e12,e14) = e10
& op1(e13,e10) = e14
& op1(e13,e11) = e11
& op1(e13,e12) = e13
& op1(e13,e13) = e10
& op1(e13,e14) = e12
& op1(e14,e10) = e12
& op1(e14,e11) = e10
& op1(e14,e12) = e14
& op1(e14,e13) = e13
& op1(e14,e14) = e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e23
& op2(e20,e22) = e24
& op2(e20,e23) = e21
& op2(e20,e24) = e22
& op2(e21,e20) = e24
& op2(e21,e21) = e21
& op2(e21,e22) = e23
& op2(e21,e23) = e22
& op2(e21,e24) = e20
& op2(e22,e20) = e21
& op2(e22,e21) = e20
& op2(e22,e22) = e22
& op2(e22,e23) = e24
& op2(e22,e24) = e23
& op2(e23,e20) = e22
& op2(e23,e21) = e24
& op2(e23,e22) = e20
& op2(e23,e23) = e23
& op2(e23,e24) = e21
& op2(e24,e20) = e23
& op2(e24,e21) = e22
& op2(e24,e22) = e21
& op2(e24,e23) = e20
& op2(e24,e24) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( 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(f18,plain,
( e20 = h(e11)
| e21 = h(e11)
| e22 = h(e11)
| e23 = h(e11)
| e24 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
( e20 = h(e10)
| e21 = h(e10)
| e22 = h(e10)
| e23 = h(e10)
| e24 = h(e10) ),
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(f23,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f24,plain,
e10 = j(h(e10)),
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(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,
e24 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e20 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
e21 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
e22 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
e23 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
e11 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f111,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f115,plain,
e10 = op1(e12,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f117,plain,
e12 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f118,plain,
e13 = op1(e12,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f119,plain,
e11 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f121,plain,
e12 = op1(e11,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f122,plain,
e11 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f124,plain,
e10 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f126,plain,
e11 = op1(e10,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f127,plain,
e10 = op1(e10,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f128,plain,
e12 = op1(e10,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f156,plain,
e22 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f161,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f162,plain,
e20 != e23,
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(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(f198,plain,
( e14 != j(e23)
| spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
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(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(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(f365,definition,
( spl0_46
<=> e24 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f367,plain,
( e24 = h(e10)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl0_47
<=> e23 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f371,plain,
( e23 = h(e10)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f373,definition,
( spl0_48
<=> e22 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f374,plain,
( e22 != h(e10)
| spl0_48 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f375,plain,
( e22 = h(e10)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f377,definition,
( spl0_49
<=> e21 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f379,plain,
( e21 = h(e10)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f377]) ).
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(f384,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f19,f381,f377,f373,f369,f365]) ).
fof(f385,plain,
j(e24) = op1(j(e24),j(e24)),
inference(forward_demodulation,[],[f30,f80]) ).
fof(f386,plain,
j(e20) = 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(e22) = op1(j(e24),j(e21)),
inference(forward_demodulation,[],[f33,f83]) ).
fof(f389,plain,
j(e23) = op1(j(e24),j(e20)),
inference(forward_demodulation,[],[f34,f84]) ).
fof(f435,plain,
( e14 = j(e24)
| ~ spl0_26 ),
inference(superposition,[],[f20,f283]) ).
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(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(f488,plain,
( e10 = j(e24)
| ~ spl0_46 ),
inference(superposition,[],[f24,f367]) ).
fof(f489,plain,
( spl0_5
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f488,f365,f192]) ).
fof(f491,plain,
( e10 = j(e23)
| ~ spl0_47 ),
inference(superposition,[],[f24,f371]) ).
fof(f492,plain,
( spl0_10
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f491,f369,f213]) ).
fof(f495,plain,
( e10 = j(e22)
| ~ spl0_48 ),
inference(superposition,[],[f24,f375]) ).
fof(f496,plain,
( spl0_15
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f495,f373,f234]) ).
fof(f500,plain,
( e10 = j(e21)
| ~ spl0_49 ),
inference(superposition,[],[f24,f379]) ).
fof(f501,plain,
( spl0_20
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f500,f377,f255]) ).
fof(f506,plain,
( e10 = j(e20)
| ~ spl0_50 ),
inference(superposition,[],[f24,f383]) ).
fof(f507,plain,
( spl0_25
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f506,f381,f276]) ).
fof(f508,plain,
( e10 = e14
| ~ spl0_21
| ~ spl0_25 ),
inference(superposition,[],[f278,f262]) ).
fof(f512,plain,
( $false
| ~ spl0_21
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f508,f171]) ).
fof(f513,plain,
( ~ spl0_21
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f523,plain,
( e10 = e13
| ~ spl0_5
| ~ spl0_31 ),
inference(forward_demodulation,[],[f441,f194]) ).
fof(f524,plain,
( $false
| ~ spl0_5
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f523,f172]) ).
fof(f525,plain,
( ~ spl0_5
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f524]) ).
fof(f527,plain,
( e13 = j(e23)
| ~ spl0_32 ),
inference(superposition,[],[f21,f308]) ).
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(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(f558,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f190,f194]) ).
fof(f561,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f558,f174]) ).
fof(f562,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f561]) ).
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(f610,plain,
( e10 = e13
| ~ spl0_17
| ~ spl0_20 ),
inference(superposition,[],[f257,f245]) ).
fof(f614,plain,
( $false
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f610,f172]) ).
fof(f615,plain,
( ~ spl0_17
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f614]) ).
fof(f625,plain,
( e24 = h(e11)
| ~ spl0_4 ),
inference(superposition,[],[f25,f190]) ).
fof(f632,plain,
( j(e20) = op1(j(e24),e12)
| ~ spl0_8 ),
inference(superposition,[],[f386,f207]) ).
fof(f638,plain,
( j(e21) = op1(j(e24),e14)
| ~ spl0_11 ),
inference(superposition,[],[f387,f220]) ).
fof(f643,plain,
( j(e22) = op1(e11,j(e21))
| ~ spl0_4 ),
inference(superposition,[],[f388,f190]) ).
fof(f644,plain,
( j(e22) = op1(j(e24),e13)
| ~ spl0_17 ),
inference(superposition,[],[f388,f245]) ).
fof(f646,plain,
( op1(e11,e13) = j(e22)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f643,f245]) ).
fof(f648,plain,
( e14 = op1(e11,e13)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f646,f220]) ).
fof(f650,plain,
( e12 = e14
| ~ spl0_4
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f648,f121]) ).
fof(f653,plain,
( $false
| ~ spl0_4
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f650,f166]) ).
fof(f654,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f663,plain,
( op1(e12,e14) = j(e21)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[],[f638,f186]) ).
fof(f670,plain,
( e13 = op1(e12,e14)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f663,f245]) ).
fof(f672,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f670,f115]) ).
fof(f673,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f672,f172]) ).
fof(f674,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f679,plain,
( op1(e10,e12) = j(e20)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f632,f194]) ).
fof(f681,plain,
( op1(e10,e13) = j(e22)
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f644,f194]) ).
fof(f682,plain,
( e11 = op1(e10,e12)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_24 ),
inference(forward_demodulation,[],[f679,f274]) ).
fof(f684,plain,
( e14 = op1(e10,e13)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f681,f220]) ).
fof(f685,plain,
( e10 = e11
| ~ spl0_5
| ~ spl0_8
| ~ spl0_24 ),
inference(forward_demodulation,[],[f682,f127]) ).
fof(f686,plain,
( e11 = e14
| ~ spl0_5
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_demodulation,[],[f684,f126]) ).
fof(f687,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f685,f174]) ).
fof(f688,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f689,plain,
( $false
| ~ spl0_5
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f686,f168]) ).
fof(f690,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f703,plain,
( e13 = op1(e13,e13)
| ~ spl0_2 ),
inference(superposition,[],[f385,f182]) ).
fof(f707,plain,
( e10 = e13
| ~ spl0_2 ),
inference(forward_demodulation,[],[f703,f111]) ).
fof(f711,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f707,f172]) ).
fof(f712,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f711]) ).
fof(f726,plain,
( e14 = op1(e14,e14)
| ~ spl0_1 ),
inference(superposition,[],[f385,f178]) ).
fof(f730,plain,
( e11 = e14
| ~ spl0_1 ),
inference(forward_demodulation,[],[f726,f105]) ).
fof(f734,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f730,f168]) ).
fof(f735,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f734]) ).
fof(f781,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(superposition,[],[f25,f194]) ).
fof(f813,plain,
( j(e20) = op1(e12,j(e23))
| ~ spl0_3 ),
inference(superposition,[],[f386,f186]) ).
fof(f814,plain,
( j(e21) = op1(e12,j(e22))
| ~ spl0_3 ),
inference(superposition,[],[f387,f186]) ).
fof(f817,plain,
( op1(e12,e10) = j(e21)
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_demodulation,[],[f814,f236]) ).
fof(f820,plain,
( e14 = op1(e12,e10)
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f817,f241]) ).
fof(f822,plain,
( e11 = e14
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f820,f119]) ).
fof(f823,plain,
( $false
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f822,f168]) ).
fof(f824,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f831,plain,
( e23 = h(e13)
| ~ spl0_7 ),
inference(superposition,[],[f26,f203]) ).
fof(f837,plain,
( e20 = e23
| ~ spl0_7
| ~ spl0_35 ),
inference(forward_demodulation,[],[f831,f320]) ).
fof(f840,plain,
( $false
| ~ spl0_7
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f837,f162]) ).
fof(f841,plain,
( ~ spl0_7
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f840]) ).
fof(f856,plain,
( j(e21) = op1(j(e24),e10)
| ~ spl0_15 ),
inference(superposition,[],[f387,f236]) ).
fof(f857,plain,
( e22 = h(e10)
| ~ spl0_15 ),
inference(superposition,[],[f27,f236]) ).
fof(f919,plain,
( e20 = h(e11)
| ~ spl0_24 ),
inference(superposition,[],[f29,f274]) ).
fof(f925,plain,
( e14 = j(e21)
| ~ spl0_29 ),
inference(superposition,[],[f20,f295]) ).
fof(f926,plain,
( $false
| spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f925,f240]) ).
fof(f927,plain,
( spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f926]) ).
fof(f928,plain,
( $false
| spl0_1
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f435,f177]) ).
fof(f929,plain,
( spl0_1
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f928]) ).
fof(f942,plain,
( op1(e12,e14) = j(e20)
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f813,f199]) ).
fof(f943,plain,
( e11 = op1(e12,e14)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_24 ),
inference(forward_demodulation,[],[f942,f274]) ).
fof(f944,plain,
( e10 = e11
| ~ spl0_3
| ~ spl0_6
| ~ spl0_24 ),
inference(forward_demodulation,[],[f943,f115]) ).
fof(f945,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f944,f174]) ).
fof(f946,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f945]) ).
fof(f950,plain,
( $false
| spl0_6
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f440,f198]) ).
fof(f951,plain,
( spl0_6
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f950]) ).
fof(f965,plain,
( e14 = j(e20)
| ~ spl0_30 ),
inference(superposition,[],[f20,f299]) ).
fof(f966,plain,
( $false
| spl0_21
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f965,f261]) ).
fof(f967,plain,
( spl0_21
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f966]) ).
fof(f974,plain,
( e20 = e24
| ~ spl0_4
| ~ spl0_45 ),
inference(forward_demodulation,[],[f625,f362]) ).
fof(f975,plain,
( e13 = e14
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f199,f203]) ).
fof(f987,plain,
( $false
| ~ spl0_4
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f974,f161]) ).
fof(f988,plain,
( ~ spl0_4
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f987]) ).
fof(f989,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f975,f165]) ).
fof(f990,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f989]) ).
fof(f998,plain,
( e22 = e24
| ~ spl0_5
| ~ spl0_48 ),
inference(forward_demodulation,[],[f781,f375]) ).
fof(f1001,plain,
( $false
| spl0_7
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f527,f202]) ).
fof(f1002,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1001]) ).
fof(f1006,plain,
( $false
| ~ spl0_5
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f998,f156]) ).
fof(f1007,plain,
( ~ spl0_5
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1006]) ).
fof(f1025,plain,
( $false
| ~ spl0_15
| spl0_48 ),
inference(forward_subsumption_resolution,[],[f857,f374]) ).
fof(f1026,plain,
( ~ spl0_15
| spl0_48 ),
inference(avatar_contradiction_clause,[],[f1025]) ).
fof(f1036,plain,
( spl0_45
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f919,f272,f360]) ).
fof(f1038,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f856,f190]) ).
fof(f1057,plain,
( e13 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1038,f245]) ).
fof(f1058,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1057,f124]) ).
fof(f1059,plain,
( $false
| ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1058,f172]) ).
fof(f1060,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1059]) ).
fof(f1083,plain,
( j(e20) = op1(e12,j(e23))
| ~ spl0_3 ),
inference(superposition,[],[f386,f186]) ).
fof(f1084,plain,
( j(e21) = op1(e12,j(e22))
| ~ spl0_3 ),
inference(superposition,[],[f387,f186]) ).
fof(f1085,plain,
( j(e22) = op1(e12,j(e21))
| ~ spl0_3 ),
inference(superposition,[],[f388,f186]) ).
fof(f1088,plain,
( op1(e12,e14) = j(e20)
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1083,f199]) ).
fof(f1091,plain,
( e12 = op1(e12,e14)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1088,f270]) ).
fof(f1092,plain,
( e10 = e12
| ~ spl0_3
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1091,f115]) ).
fof(f1093,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1092,f173]) ).
fof(f1094,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1093]) ).
fof(f1098,plain,
( e13 = op1(e12,e14)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1088,f266]) ).
fof(f1099,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1098,f115]) ).
fof(f1100,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1099,f172]) ).
fof(f1101,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1100]) ).
fof(f1105,plain,
( e14 = op1(e12,e14)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1088,f262]) ).
fof(f1106,plain,
( e10 = e14
| ~ spl0_3
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1105,f115]) ).
fof(f1107,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1106,f171]) ).
fof(f1108,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1107]) ).
fof(f1138,plain,
( e13 = j(e20)
| ~ spl0_35 ),
inference(superposition,[],[f21,f320]) ).
fof(f1156,plain,
( spl0_22
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1138,f318,f264]) ).
fof(f1163,plain,
( op1(e12,e10) = j(e20)
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1083,f215]) ).
fof(f1164,plain,
( e14 = op1(e12,e10)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1163,f262]) ).
fof(f1165,plain,
( e11 = e14
| ~ spl0_3
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1164,f119]) ).
fof(f1166,plain,
( $false
| ~ spl0_3
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1165,f168]) ).
fof(f1167,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1166]) ).
fof(f1169,plain,
( op1(e12,e11) = j(e20)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1083,f211]) ).
fof(f1170,plain,
( e14 = op1(e12,e11)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1169,f262]) ).
fof(f1171,plain,
( e13 = e14
| ~ spl0_3
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1170,f118]) ).
fof(f1172,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1171,f165]) ).
fof(f1173,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1172]) ).
fof(f1177,plain,
( op1(e12,e12) = j(e20)
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1083,f207]) ).
fof(f1178,plain,
( e14 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1177,f262]) ).
fof(f1179,plain,
( e12 = e14
| ~ spl0_3
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1178,f117]) ).
fof(f1180,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1179,f166]) ).
fof(f1181,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1180]) ).
fof(f1196,plain,
( e13 = e14
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f266,f262]) ).
fof(f1197,plain,
( e13 = e14
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f262,f266]) ).
fof(f1198,plain,
( e20 = h(e13)
| ~ spl0_22 ),
inference(superposition,[],[f29,f266]) ).
fof(f1199,plain,
( spl0_35
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1198,f264,f318]) ).
fof(f1200,plain,
( $false
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1197,f165]) ).
fof(f1201,plain,
( ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1200]) ).
fof(f1202,plain,
( $false
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1196,f165]) ).
fof(f1203,plain,
( ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1202]) ).
fof(f1219,plain,
( j(e23) = op1(e12,j(e20))
| ~ spl0_3 ),
inference(superposition,[],[f389,f186]) ).
fof(f1222,plain,
( op1(e12,e14) = j(e23)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1219,f262]) ).
fof(f1224,plain,
( e13 = op1(e12,e14)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1222,f203]) ).
fof(f1226,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1224,f115]) ).
fof(f1229,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1226,f172]) ).
fof(f1230,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1229]) ).
fof(f1242,plain,
( op1(e12,e14) = j(e21)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1084,f220]) ).
fof(f1250,plain,
( e11 = op1(e12,e14)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1242,f253]) ).
fof(f1254,plain,
( e10 = e11
| ~ spl0_3
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1250,f115]) ).
fof(f1259,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1254,f174]) ).
fof(f1260,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1259]) ).
fof(f1266,plain,
( op1(e12,e10) = j(e22)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1085,f257]) ).
fof(f1268,plain,
( e14 = op1(e12,e10)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1266,f220]) ).
fof(f1269,plain,
( e11 = e14
| ~ spl0_3
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1268,f119]) ).
fof(f1270,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1269,f168]) ).
fof(f1271,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1270]) ).
fof(f1281,plain,
( op1(e12,e12) = j(e22)
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1085,f249]) ).
fof(f1284,plain,
( e14 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1281,f220]) ).
fof(f1286,plain,
( e12 = e14
| ~ spl0_3
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1284,f117]) ).
fof(f1289,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1286,f166]) ).
fof(f1290,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1289]) ).
fof(f1295,plain,
( op1(e12,e14) = j(e22)
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1085,f241]) ).
fof(f1297,plain,
( e14 = op1(e12,e14)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1295,f220]) ).
fof(f1299,plain,
( e10 = e14
| ~ spl0_3
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1297,f115]) ).
fof(f1302,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1299,f171]) ).
fof(f1303,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1302]) ).
fof(f1309,plain,
( e13 = op1(e12,e14)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1295,f224]) ).
fof(f1311,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1309,f115]) ).
fof(f1312,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1311,f172]) ).
fof(f1313,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1312]) ).
fof(f1323,plain,
( op1(e12,e12) = j(e21)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1084,f228]) ).
fof(f1326,plain,
( e14 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1323,f241]) ).
fof(f1328,plain,
( e12 = e14
| ~ spl0_3
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1326,f117]) ).
fof(f1331,plain,
( $false
| ~ spl0_3
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1328,f166]) ).
fof(f1332,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1331]) ).
fof(f1335,plain,
( op1(e12,e11) = j(e21)
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1084,f232]) ).
fof(f1337,plain,
( e14 = op1(e12,e11)
| ~ spl0_3
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1335,f241]) ).
fof(f1339,plain,
( e13 = e14
| ~ spl0_3
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1337,f118]) ).
fof(f1342,plain,
( $false
| ~ spl0_3
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1339,f165]) ).
fof(f1343,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1342]) ).
fof(f1344,plain,
( e11 = e14
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f199,f211]) ).
fof(f1354,plain,
( op1(e12,e10) = j(e23)
| ~ spl0_3
| ~ spl0_25 ),
inference(forward_demodulation,[],[f1219,f278]) ).
fof(f1363,plain,
( $false
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1344,f168]) ).
fof(f1364,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1363]) ).
fof(f1385,plain,
( e14 = op1(e12,e10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_25 ),
inference(forward_demodulation,[],[f1354,f199]) ).
fof(f1388,plain,
( e11 = e14
| ~ spl0_3
| ~ spl0_6
| ~ spl0_25 ),
inference(forward_demodulation,[],[f1385,f119]) ).
fof(f1389,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1388,f168]) ).
fof(f1390,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1389]) ).
fof(f1403,plain,
( j(e21) = op1(e10,j(e22))
| ~ spl0_5 ),
inference(superposition,[],[f387,f194]) ).
fof(f1404,plain,
( j(e22) = op1(e10,j(e21))
| ~ spl0_5 ),
inference(superposition,[],[f388,f194]) ).
fof(f1405,plain,
( j(e23) = op1(e10,j(e20))
| ~ spl0_5 ),
inference(superposition,[],[f389,f194]) ).
fof(f1407,plain,
( op1(e10,e11) = j(e22)
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1404,f253]) ).
fof(f1411,plain,
( e13 = op1(e10,e11)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1407,f224]) ).
fof(f1415,plain,
( e12 = e13
| ~ spl0_5
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1411,f128]) ).
fof(f1418,plain,
( $false
| ~ spl0_5
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1415,f167]) ).
fof(f1419,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1418]) ).
fof(f1423,plain,
( op1(e10,e13) = j(e23)
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1405,f266]) ).
fof(f1427,plain,
( op1(e10,e12) = j(e21)
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1403,f228]) ).
fof(f1429,plain,
( e14 = op1(e10,e13)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1423,f199]) ).
fof(f1430,plain,
( e11 = op1(e10,e12)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1427,f253]) ).
fof(f1431,plain,
( e11 = e14
| ~ spl0_5
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1429,f126]) ).
fof(f1432,plain,
( e10 = e11
| ~ spl0_5
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1430,f127]) ).
fof(f1433,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1431,f168]) ).
fof(f1434,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1433]) ).
fof(f1435,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1432,f174]) ).
fof(f1436,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1435]) ).
fof(f1477,plain,
( e11 = e13
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f224,f232]) ).
fof(f1484,plain,
( $false
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1477,f169]) ).
fof(f1485,plain,
( ~ spl0_12
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1484]) ).
fof(f1494,plain,
( j(e22) = op1(e11,j(e21))
| ~ spl0_4 ),
inference(superposition,[],[f388,f190]) ).
fof(f1495,plain,
( j(e23) = op1(e11,j(e20))
| ~ spl0_4 ),
inference(superposition,[],[f389,f190]) ).
fof(f1496,plain,
( op1(e11,e13) = j(e23)
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1495,f266]) ).
fof(f1497,plain,
( op1(e11,e12) = j(e22)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1494,f249]) ).
fof(f1500,plain,
( e14 = op1(e11,e13)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1496,f199]) ).
fof(f1501,plain,
( e13 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1497,f224]) ).
fof(f1504,plain,
( e12 = e14
| ~ spl0_4
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1500,f121]) ).
fof(f1505,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1501,f122]) ).
fof(f1506,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1504,f166]) ).
fof(f1507,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1506]) ).
fof(f1508,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1505,f169]) ).
fof(f1509,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1508]) ).
fof(f1510,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_31 ),
inference(forward_demodulation,[],[f441,f190]) ).
fof(f1515,plain,
( op1(e11,e12) = j(e23)
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1495,f270]) ).
fof(f1519,plain,
( $false
| ~ spl0_4
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f1510,f169]) ).
fof(f1520,plain,
( ~ spl0_4
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f1519]) ).
fof(f1521,plain,
( e14 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1515,f199]) ).
fof(f1524,plain,
( e11 = e14
| ~ spl0_4
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1521,f122]) ).
fof(f1528,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1524,f168]) ).
fof(f1529,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1528]) ).
fof(f1536,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_4
| ~ spl0_25 ),
inference(forward_demodulation,[],[f1495,f278]) ).
fof(f1541,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1494,f257]) ).
fof(f1543,plain,
( e14 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_25 ),
inference(forward_demodulation,[],[f1536,f199]) ).
fof(f1544,plain,
( e13 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1541,f224]) ).
fof(f1546,plain,
( e10 = e14
| ~ spl0_4
| ~ spl0_6
| ~ spl0_25 ),
inference(forward_demodulation,[],[f1543,f124]) ).
fof(f1547,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1544,f124]) ).
fof(f1548,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1546,f171]) ).
fof(f1549,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1548]) ).
fof(f1550,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1547,f172]) ).
fof(f1551,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1550]) ).
fof(f1564,plain,
( e10 = op1(e10,e10)
| ~ spl0_5 ),
inference(superposition,[],[f385,f194]) ).
fof(f1565,plain,
( j(e20) = op1(e10,j(e23))
| ~ spl0_5 ),
inference(superposition,[],[f386,f194]) ).
fof(f1566,plain,
( j(e21) = op1(e10,j(e22))
| ~ spl0_5 ),
inference(superposition,[],[f387,f194]) ).
fof(f1567,plain,
( j(e22) = op1(e10,j(e21))
| ~ spl0_5 ),
inference(superposition,[],[f388,f194]) ).
fof(f1568,plain,
( j(e23) = op1(e10,j(e20))
| ~ spl0_5 ),
inference(superposition,[],[f389,f194]) ).
fof(f1569,plain,
( op1(e10,e11) = j(e23)
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1568,f274]) ).
fof(f1573,plain,
( e14 = op1(e10,e11)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1569,f199]) ).
fof(f1577,plain,
( e12 = e14
| ~ spl0_5
| ~ spl0_6
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1573,f128]) ).
fof(f1580,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1577,f166]) ).
fof(f1581,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1580]) ).
fof(f1599,plain,
( op1(e10,e11) = j(e21)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1566,f232]) ).
fof(f1602,plain,
( e13 = op1(e10,e11)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1599,f245]) ).
fof(f1603,plain,
( e12 = e13
| ~ spl0_5
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1602,f128]) ).
fof(f1604,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1603,f167]) ).
fof(f1605,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1604]) ).
fof(f1618,plain,
( op1(e10,e13) = j(e21)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1566,f224]) ).
fof(f1619,plain,
( op1(e10,e11) = j(e20)
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1565,f211]) ).
fof(f1622,plain,
( e14 = op1(e10,e13)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1618,f241]) ).
fof(f1623,plain,
( e14 = op1(e10,e11)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1619,f262]) ).
fof(f1625,plain,
( e11 = e14
| ~ spl0_5
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1622,f126]) ).
fof(f1626,plain,
( e12 = e14
| ~ spl0_5
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1623,f128]) ).
fof(f1629,plain,
( $false
| ~ spl0_5
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1625,f168]) ).
fof(f1630,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1629]) ).
fof(f1631,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1626,f166]) ).
fof(f1632,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1631]) ).
fof(f1639,plain,
( op1(e10,e11) = j(e21)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1566,f232]) ).
fof(f1641,plain,
( op1(e10,e13) = j(e20)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1565,f203]) ).
fof(f1643,plain,
( e14 = op1(e10,e11)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1639,f241]) ).
fof(f1644,plain,
( e14 = op1(e10,e13)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1641,f262]) ).
fof(f1646,plain,
( e12 = e14
| ~ spl0_5
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1643,f128]) ).
fof(f1647,plain,
( e11 = e14
| ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1644,f126]) ).
fof(f1650,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1646,f166]) ).
fof(f1651,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1650]) ).
fof(f1652,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1647,f168]) ).
fof(f1653,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1652]) ).
fof(f1662,plain,
( op1(e10,e12) = j(e21)
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1566,f228]) ).
fof(f1666,plain,
( e14 = op1(e10,e12)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1662,f241]) ).
fof(f1670,plain,
( e10 = e14
| ~ spl0_5
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1666,f127]) ).
fof(f1673,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1670,f171]) ).
fof(f1674,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1673]) ).
fof(f1696,plain,
( e11 = e13
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f211,f203]) ).
fof(f1705,plain,
( $false
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1696,f169]) ).
fof(f1706,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1705]) ).
fof(f1716,plain,
( op1(e10,e11) = j(e20)
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1565,f211]) ).
fof(f1719,plain,
( e13 = op1(e10,e11)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1716,f266]) ).
fof(f1722,plain,
( e12 = e13
| ~ spl0_5
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1719,f128]) ).
fof(f1723,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1722,f167]) ).
fof(f1724,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1723]) ).
fof(f1731,plain,
( op1(e10,e11) = j(e23)
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1568,f274]) ).
fof(f1733,plain,
( e13 = op1(e10,e11)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1731,f203]) ).
fof(f1735,plain,
( e12 = e13
| ~ spl0_5
| ~ spl0_7
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1733,f128]) ).
fof(f1736,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1735,f167]) ).
fof(f1737,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1736]) ).
fof(f1743,plain,
( op1(e10,e10) = j(e20)
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1565,f215]) ).
fof(f1749,plain,
( e11 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1743,f274]) ).
fof(f1750,plain,
( e10 = e11
| ~ spl0_5
| ~ spl0_10
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1749,f1564]) ).
fof(f1751,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1750,f174]) ).
fof(f1752,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1751]) ).
fof(f1763,plain,
( op1(e10,e11) = j(e22)
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1567,f253]) ).
fof(f1774,plain,
( e14 = op1(e10,e11)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1763,f220]) ).
fof(f1777,plain,
( e12 = e14
| ~ spl0_5
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1774,f128]) ).
fof(f1781,plain,
( $false
| ~ spl0_5
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1777,f166]) ).
fof(f1782,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1781]) ).
fof(f1802,plain,
( e11 = op1(e11,e11)
| ~ spl0_4 ),
inference(superposition,[],[f385,f190]) ).
fof(f1803,plain,
( j(e20) = op1(e11,j(e23))
| ~ spl0_4 ),
inference(superposition,[],[f386,f190]) ).
fof(f1804,plain,
( j(e21) = op1(e11,j(e22))
| ~ spl0_4 ),
inference(superposition,[],[f387,f190]) ).
fof(f1805,plain,
( j(e22) = op1(e11,j(e21))
| ~ spl0_4 ),
inference(superposition,[],[f388,f190]) ).
fof(f1806,plain,
( j(e23) = op1(e11,j(e20))
| ~ spl0_4 ),
inference(superposition,[],[f389,f190]) ).
fof(f1810,plain,
( op1(e11,e11) = j(e20)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1803,f211]) ).
fof(f1814,plain,
( e13 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1810,f266]) ).
fof(f1816,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1814,f1802]) ).
fof(f1819,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1816,f169]) ).
fof(f1820,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1819]) ).
fof(f1825,plain,
( op1(e11,e10) = j(e20)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1803,f215]) ).
fof(f1828,plain,
( e13 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1825,f266]) ).
fof(f1829,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_10
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1828,f124]) ).
fof(f1830,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1829,f172]) ).
fof(f1831,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1830]) ).
fof(f1836,plain,
( op1(e11,e12) = j(e20)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1803,f207]) ).
fof(f1838,plain,
( e13 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1836,f266]) ).
fof(f1839,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_8
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1838,f122]) ).
fof(f1840,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1839,f169]) ).
fof(f1841,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1840]) ).
fof(f1847,plain,
( op1(e11,e12) = j(e23)
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1806,f270]) ).
fof(f1850,plain,
( op1(e11,e13) = j(e20)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1803,f203]) ).
fof(f1851,plain,
( e13 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1847,f203]) ).
fof(f1853,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1851,f122]) ).
fof(f1854,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1853,f169]) ).
fof(f1855,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1854]) ).
fof(f1856,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_4
| ~ spl0_25 ),
inference(forward_demodulation,[],[f1806,f278]) ).
fof(f1858,plain,
( e13 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_25 ),
inference(forward_demodulation,[],[f1856,f203]) ).
fof(f1859,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_7
| ~ spl0_25 ),
inference(forward_demodulation,[],[f1858,f124]) ).
fof(f1860,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1859,f172]) ).
fof(f1861,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1860]) ).
fof(f1865,plain,
( e14 = op1(e11,e13)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1850,f262]) ).
fof(f1867,plain,
( e12 = e14
| ~ spl0_4
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1865,f121]) ).
fof(f1868,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1867,f166]) ).
fof(f1869,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1868]) ).
fof(f1879,plain,
( op1(e11,e13) = j(e21)
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1804,f224]) ).
fof(f1885,plain,
( e14 = op1(e11,e13)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1879,f241]) ).
fof(f1887,plain,
( e12 = e14
| ~ spl0_4
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1885,f121]) ).
fof(f1889,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1887,f166]) ).
fof(f1890,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1889]) ).
fof(f1897,plain,
( e13 = e14
| ~ spl0_12
| ~ spl0_28 ),
inference(forward_demodulation,[],[f459,f224]) ).
fof(f1904,plain,
( op1(e11,e11) = j(e22)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1805,f253]) ).
fof(f1916,plain,
( $false
| ~ spl0_12
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1897,f165]) ).
fof(f1917,plain,
( ~ spl0_12
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1916]) ).
fof(f1920,plain,
( e13 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1904,f224]) ).
fof(f1923,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1920,f1802]) ).
fof(f1927,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1923,f169]) ).
fof(f1928,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1927]) ).
fof(f1942,plain,
( op1(e11,e13) = j(e22)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1805,f245]) ).
fof(f1946,plain,
( op1(e11,e10) = j(e20)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1803,f215]) ).
fof(f1948,plain,
( e13 = op1(e11,e13)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1942,f224]) ).
fof(f1950,plain,
( e14 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1946,f262]) ).
fof(f1951,plain,
( e12 = e13
| ~ spl0_4
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1948,f121]) ).
fof(f1954,plain,
( e10 = e14
| ~ spl0_4
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1950,f124]) ).
fof(f1955,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1951,f167]) ).
fof(f1956,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1955]) ).
fof(f1957,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1954,f171]) ).
fof(f1958,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1957]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f195]) ).
cnf(s2,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f216]) ).
cnf(s3,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f237]) ).
cnf(s4,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f258]) ).
cnf(s5,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f279]) ).
cnf(s6,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f300]) ).
cnf(s7,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f321]) ).
cnf(s9,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f363]) ).
cnf(s10,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(sat_conversion,[],[f384]) ).
cnf(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(s25,plain,
( spl0_5
| ~ spl0_46 ),
inference(sat_conversion,[],[f489]) ).
cnf(s26,plain,
( spl0_10
| ~ spl0_47 ),
inference(sat_conversion,[],[f492]) ).
cnf(s27,plain,
( spl0_15
| ~ spl0_48 ),
inference(sat_conversion,[],[f496]) ).
cnf(s28,plain,
( spl0_20
| ~ spl0_49 ),
inference(sat_conversion,[],[f501]) ).
cnf(s29,plain,
( spl0_25
| ~ spl0_50 ),
inference(sat_conversion,[],[f507]) ).
cnf(s31,plain,
( ~ spl0_21
| ~ spl0_25 ),
inference(sat_conversion,[],[f513]) ).
cnf(s34,plain,
( ~ spl0_5
| ~ spl0_31 ),
inference(sat_conversion,[],[f525]) ).
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(s40,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f549]) ).
cnf(s41,plain,
( spl0_24
| ~ spl0_45 ),
inference(sat_conversion,[],[f557]) ).
cnf(s42,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f562]) ).
cnf(s48,plain,
( spl0_11
| ~ spl0_28 ),
inference(sat_conversion,[],[f591]) ).
cnf(s52,plain,
( ~ spl0_17
| ~ spl0_20 ),
inference(sat_conversion,[],[f615]) ).
cnf(s54,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f654]) ).
cnf(s57,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f674]) ).
cnf(s58,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_24 ),
inference(sat_conversion,[],[f688]) ).
cnf(s59,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f690]) ).
cnf(s61,plain,
~ spl0_2,
inference(sat_conversion,[],[f712]) ).
cnf(s63,plain,
~ spl0_1,
inference(sat_conversion,[],[f735]) ).
cnf(s72,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f824]) ).
cnf(s75,plain,
( ~ spl0_7
| ~ spl0_35 ),
inference(sat_conversion,[],[f841]) ).
cnf(s84,plain,
( spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f927]) ).
cnf(s85,plain,
( spl0_1
| ~ spl0_26 ),
inference(sat_conversion,[],[f929]) ).
cnf(s87,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_24 ),
inference(sat_conversion,[],[f946]) ).
cnf(s89,plain,
( spl0_6
| ~ spl0_27 ),
inference(sat_conversion,[],[f951]) ).
cnf(s90,plain,
( spl0_21
| ~ spl0_30 ),
inference(sat_conversion,[],[f967]) ).
cnf(s93,plain,
( ~ spl0_4
| ~ spl0_45 ),
inference(sat_conversion,[],[f988]) ).
cnf(s94,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f990]) ).
cnf(s97,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s98,plain,
( ~ spl0_5
| ~ spl0_48 ),
inference(sat_conversion,[],[f1007]) ).
cnf(s103,plain,
( ~ spl0_15
| spl0_48 ),
inference(sat_conversion,[],[f1026]) ).
cnf(s106,plain,
( ~ spl0_24
| spl0_45 ),
inference(sat_conversion,[],[f1036]) ).
cnf(s111,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f1060]) ).
cnf(s116,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_23 ),
inference(sat_conversion,[],[f1094]) ).
cnf(s117,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_22 ),
inference(sat_conversion,[],[f1101]) ).
cnf(s118,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_21 ),
inference(sat_conversion,[],[f1108]) ).
cnf(s124,plain,
( spl0_22
| ~ spl0_35 ),
inference(sat_conversion,[],[f1156]) ).
cnf(s125,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_21 ),
inference(sat_conversion,[],[f1167]) ).
cnf(s126,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_21 ),
inference(sat_conversion,[],[f1173]) ).
cnf(s129,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_21 ),
inference(sat_conversion,[],[f1181]) ).
cnf(s132,plain,
( ~ spl0_22
| spl0_35 ),
inference(sat_conversion,[],[f1199]) ).
cnf(s133,plain,
( ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f1201]) ).
cnf(s134,plain,
( ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f1203]) ).
cnf(s136,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_21 ),
inference(sat_conversion,[],[f1230]) ).
cnf(s143,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_19 ),
inference(sat_conversion,[],[f1260]) ).
cnf(s144,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_20 ),
inference(sat_conversion,[],[f1271]) ).
cnf(s148,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_18 ),
inference(sat_conversion,[],[f1290]) ).
cnf(s150,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_16 ),
inference(sat_conversion,[],[f1303]) ).
cnf(s151,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_16 ),
inference(sat_conversion,[],[f1313]) ).
cnf(s156,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_16 ),
inference(sat_conversion,[],[f1332]) ).
cnf(s158,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f1343]) ).
cnf(s162,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f1364]) ).
cnf(s168,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_25 ),
inference(sat_conversion,[],[f1390]) ).
cnf(s171,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_19 ),
inference(sat_conversion,[],[f1419]) ).
cnf(s173,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_22 ),
inference(sat_conversion,[],[f1434]) ).
cnf(s174,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_19 ),
inference(sat_conversion,[],[f1436]) ).
cnf(s187,plain,
( ~ spl0_12
| ~ spl0_14 ),
inference(sat_conversion,[],[f1485]) ).
cnf(s190,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_22 ),
inference(sat_conversion,[],[f1507]) ).
cnf(s191,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_18 ),
inference(sat_conversion,[],[f1509]) ).
cnf(s192,plain,
( ~ spl0_4
| ~ spl0_31 ),
inference(sat_conversion,[],[f1520]) ).
cnf(s194,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_23 ),
inference(sat_conversion,[],[f1529]) ).
cnf(s198,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_25 ),
inference(sat_conversion,[],[f1549]) ).
cnf(s199,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_20 ),
inference(sat_conversion,[],[f1551]) ).
cnf(s203,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_24 ),
inference(sat_conversion,[],[f1581]) ).
cnf(s208,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_17 ),
inference(sat_conversion,[],[f1605]) ).
cnf(s210,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_16 ),
inference(sat_conversion,[],[f1630]) ).
cnf(s211,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_21 ),
inference(sat_conversion,[],[f1632]) ).
cnf(s216,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f1651]) ).
cnf(s217,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_21 ),
inference(sat_conversion,[],[f1653]) ).
cnf(s220,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_16 ),
inference(sat_conversion,[],[f1674]) ).
cnf(s227,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f1706]) ).
cnf(s230,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_22 ),
inference(sat_conversion,[],[f1724]) ).
cnf(s236,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_24 ),
inference(sat_conversion,[],[f1737]) ).
cnf(s240,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_24 ),
inference(sat_conversion,[],[f1752]) ).
cnf(s247,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_19 ),
inference(sat_conversion,[],[f1782]) ).
cnf(s253,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_22 ),
inference(sat_conversion,[],[f1820]) ).
cnf(s254,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_22 ),
inference(sat_conversion,[],[f1831]) ).
cnf(s259,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_22 ),
inference(sat_conversion,[],[f1841]) ).
cnf(s264,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_23 ),
inference(sat_conversion,[],[f1855]) ).
cnf(s267,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_25 ),
inference(sat_conversion,[],[f1861]) ).
cnf(s269,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_21 ),
inference(sat_conversion,[],[f1869]) ).
cnf(s270,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_16 ),
inference(sat_conversion,[],[f1890]) ).
cnf(s280,plain,
( ~ spl0_12
| ~ spl0_28 ),
inference(sat_conversion,[],[f1917]) ).
cnf(s283,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_19 ),
inference(sat_conversion,[],[f1928]) ).
cnf(s288,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_17 ),
inference(sat_conversion,[],[f1956]) ).
cnf(s289,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_21 ),
inference(sat_conversion,[],[f1958]) ).
cnf(s290,plain,
~ spl0_26,
inference(rat,[],[s85,s63]) ).
cnf(s291,plain,
( spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(rat,[],[s6,s290]) ).
cnf(s292,plain,
( spl0_3
| spl0_4
| spl0_5 ),
inference(rat,[],[s1,s61,s63]) ).
cnf(s293,plain,
( ~ spl0_14
| spl0_33
| spl0_28
| spl0_32
| spl0_27
| ~ spl0_5 ),
inference(rat,[],[s133,s124,s90,s7,s291,s38,s84,s208,s216,s34]) ).
cnf(s294,plain,
( spl0_12
| spl0_11
| spl0_45
| spl0_42
| spl0_32
| spl0_27
| ~ spl0_5
| spl0_41 ),
inference(rat,[],[s22,s174,s9,s3,s19,s293,s36,s103,s98,s48]) ).
cnf(s295,plain,
( ~ spl0_12
| spl0_45
| spl0_42
| ~ spl0_5
| spl0_41 ),
inference(rat,[],[s9,s22,s19,s171,s187]) ).
cnf(s296,plain,
( spl0_12
| spl0_45
| spl0_41
| spl0_42
| spl0_32
| spl0_27
| ~ spl0_5 ),
inference(rat,[],[s9,s19,s22,s21,s247,s294]) ).
cnf(s297,plain,
( spl0_9
| spl0_8
| spl0_7
| spl0_6
| ~ spl0_5
| spl0_41 ),
inference(rat,[],[s296,s295,s41,s240,s2,s18,s89,s97]) ).
cnf(s298,plain,
( ~ spl0_17
| spl0_30
| spl0_27
| ~ spl0_5 ),
inference(rat,[],[s291,s48,s84,s59,s40]) ).
cnf(s299,plain,
( ~ spl0_9
| spl0_32
| spl0_27
| ~ spl0_5 ),
inference(rat,[],[s84,s291,s210,s280,s36,s7,s38,s298,s90,s124,s211,s230,s34]) ).
cnf(s300,plain,
( spl0_7
| spl0_6
| ~ spl0_5
| spl0_41 ),
inference(rat,[],[s296,s295,s41,s58,s297,s18,s299,s97,s89]) ).
cnf(s301,plain,
( spl0_11
| spl0_12
| spl0_30
| spl0_27
| ~ spl0_5 ),
inference(rat,[],[s3,s216,s220,s84,s291,s48,s103,s98]) ).
cnf(s302,plain,
( spl0_6
| ~ spl0_5
| spl0_41 ),
inference(rat,[],[s9,s19,s22,s21,s247,s301,s295,s90,s18,s41,s217,s227,s236,s300,s89]) ).
cnf(s303,plain,
( spl0_4
| spl0_3 ),
inference(rat,[],[s9,s19,s22,s208,s37,s38,s7,s36,s295,s124,s41,s97,s18,s173,s203,s94,s162,s302,s34,s292,s17]) ).
cnf(s304,plain,
( ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s132,s5,s75,s264,s267,s269,s106,s93]) ).
cnf(s306,plain,
( ~ spl0_21
| spl0_33
| ~ spl0_4 ),
inference(rat,[],[s10,s27,s28,s111,s52,s38,s7,s26,s29,s124,s289,s31,s134,s192,s25,s42,s97,s304]) ).
cnf(s308,plain,
( ~ spl0_22
| spl0_9
| spl0_6
| ~ spl0_4 ),
inference(rat,[],[s2,s254,s259,s304]) ).
cnf(s309,plain,
( ~ spl0_17
| spl0_30
| spl0_27
| ~ spl0_4 ),
inference(rat,[],[s291,s48,s84,s54,s40]) ).
cnf(s310,plain,
( ~ spl0_22
| spl0_6
| ~ spl0_4 ),
inference(rat,[],[s308,s253]) ).
cnf(s311,plain,
( spl0_33
| spl0_6
| ~ spl0_4 ),
inference(rat,[],[s309,s38,s90,s7,s306,s192,s97,s304,s89,s124,s310]) ).
cnf(s312,plain,
( ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s4,s191,s199,s270,s283,s288]) ).
cnf(s313,plain,
~ spl0_4,
inference(rat,[],[s5,s190,s198,s194,s311,s306,s36,s312,s106,s93]) ).
cnf(s315,plain,
spl0_3,
inference(rat,[],[s303,s313]) ).
cnf(s319,plain,
( spl0_11
| spl0_30
| spl0_12
| spl0_27 ),
inference(rat,[],[s3,s72,s156,s158,s84,s291,s48,s315]) ).
cnf(s320,plain,
~ spl0_11,
inference(rat,[],[s57,s4,s148,s143,s144,s150,s315]) ).
cnf(s321,plain,
~ spl0_28,
inference(rat,[],[s48,s320]) ).
cnf(s322,plain,
( ~ spl0_21
| spl0_6 ),
inference(rat,[],[s2,s125,s126,s129,s136,s315]) ).
cnf(s323,plain,
( spl0_30
| spl0_27 ),
inference(rat,[],[s84,s151,s291,s319,s320,s321,s315]) ).
cnf(s324,plain,
spl0_6,
inference(rat,[],[s323,s90,s322,s89]) ).
cnf(s327,plain,
~ spl0_23,
inference(rat,[],[s116,s315,s324]) ).
cnf(s330,plain,
~ spl0_25,
inference(rat,[],[s168,s315,s324]) ).
cnf(s331,plain,
~ spl0_21,
inference(rat,[],[s118,s315,s324]) ).
cnf(s332,plain,
~ spl0_22,
inference(rat,[],[s117,s315,s324]) ).
cnf(s333,plain,
~ spl0_24,
inference(rat,[],[s87,s315,s324]) ).
cnf(s336,plain,
$false,
inference(rat,[],[s5,s331,s333,s332,s327,s330]) ).
fof(f1959,plain,
$false,
inference(avatar_sat_refutation,[],[s336]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG181+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:39:01 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 1.91/1.13 % (3696940)Detected formulas, will run a generic FOF schedule.
% 1.91/1.13 % (3696948)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2287866281:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.91/1.13 % (3696949)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2626583004:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.91/1.13 % (3696947)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=3963811183:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.91/1.13 % (3696945)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=303301237:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.91/1.13 % (3696946)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=542255185:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.91/1.13 % (3696948)Instruction limit reached!
% 1.91/1.13 % (3696948)------------------------------
% 1.91/1.13 % (3696948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/1.13 % (3696948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/1.13 % (3696948)CaDiCaL version: 2.1.3
% 1.91/1.13 % (3696948)Termination reason: Instruction limit
% 1.91/1.13 % (3696948)Termination phase: Saturation
% 1.91/1.13 % (3696948)Time elapsed: 0.033 s
% 1.91/1.13 % (3696948)Peak memory usage: 89 MB
% 1.91/1.13 % (3696948)Instructions burned: 113 (million)
% 1.91/1.13 % (3696950)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1412086952:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.91/1.13 % (3696951)dis-21_1_sil=8000:lcm=predicate:random_seed=3838362164: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)
% 1.91/1.13 % (3696951)Refutation not found, incomplete strategy
% 1.91/1.13 % (3696951)------------------------------
% 1.91/1.13 % (3696951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/1.13 % (3696951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/1.13 % (3696951)CaDiCaL version: 2.1.3
% 1.91/1.13 % (3696951)Termination reason: Refutation not found, incomplete strategy
% 1.91/1.13 % (3696951)Time elapsed: 0.005 s
% 1.91/1.13 % (3696951)Peak memory usage: 88 MB
% 1.91/1.13 % (3696951)Instructions burned: 8 (million)
% 1.91/1.13 % (3696949)Instruction limit reached!
% 1.91/1.13 % (3696949)------------------------------
% 1.91/1.13 % (3696949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/1.13 % (3696949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/1.13 % (3696949)CaDiCaL version: 2.1.3
% 1.91/1.13 % (3696949)Termination reason: Instruction limit
% 1.91/1.13 % (3696949)Termination phase: Saturation
% 1.91/1.13 % (3696949)Time elapsed: 0.051 s
% 1.91/1.13 % (3696949)Peak memory usage: 87 MB
% 1.91/1.13 % (3696949)Instructions burned: 121 (million)
% 1.91/1.13 % (3696950)Instruction limit reached!
% 1.91/1.13 % (3696950)------------------------------
% 1.91/1.13 % (3696950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/1.13 % (3696950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/1.13 % (3696950)CaDiCaL version: 2.1.3
% 1.91/1.13 % (3696950)Termination reason: Instruction limit
% 1.91/1.13 % (3696950)Termination phase: Saturation
% 1.91/1.13 % (3696950)Time elapsed: 0.077 s
% 1.91/1.13 % (3696950)Peak memory usage: 89 MB
% 1.91/1.13 % (3696950)Instructions burned: 139 (million)
% 1.91/1.13 % (3696957)lrs+10_1_sil=8000:sp=occurrence:random_seed=4011301088:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 1.91/1.13 % (3696957)First to succeed.
% 1.91/1.13 % (3696957)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3696940"
% 1.91/1.13 % (3696960)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2542994767:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.91/1.13 % (3696960)Also succeeded, but the first one will report.
% 1.91/1.13 % (3696961)lrs+1011_1_sil=32000:sp=occurrence:random_seed=620191210:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 1.91/1.13 % (3696951)------------------------------
% 1.91/1.13 % (3696951)------------------------------
% 1.91/1.13 % (3696961)Also succeeded, but the first one will report.
% 1.91/1.13 % (3696957)Refutation found. Thanks to Tanya!
% 1.91/1.13 % SZS status Theorem for theBenchmark
% 1.91/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 3.97/1.33 % (3696957)------------------------------
% 3.97/1.33 % (3696957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.33 % (3696957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.33 % (3696957)CaDiCaL version: 2.1.3
% 3.97/1.33 % (3696957)Termination reason: Refutation
% 3.97/1.33 % (3696957)Time elapsed: 0.020 s
% 3.97/1.33 % (3696957)Peak memory usage: 90 MB
% 3.97/1.33 % (3696957)Instructions burned: 65 (million)
% 3.97/1.33 % (3696957)------------------------------
% 3.97/1.33 % (3696957)------------------------------
% 3.97/1.33 % (3696940)Success in time 0.473 s
% 3.97/1.33 % Vampire exiting
%------------------------------------------------------------------------------