%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG083+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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:09:32 AM UTC 2026
% Result : Theorem 3.63s 1.16s
% Output : Refutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 52
% Syntax : Number of formulae : 705 ( 94 unt; 47 def)
% Number of atoms : 2280 ( 916 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 2669 (1094 ~;1186 |; 340 &)
% ( 47 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 49 ( 47 usr; 48 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e10,e14) = e14
& op1(e11,e10) = e11
& op1(e11,e11) = e14
& op1(e11,e12) = e10
& op1(e11,e13) = e12
& op1(e11,e14) = e13
& op1(e12,e10) = e12
& op1(e12,e11) = e10
& op1(e12,e12) = e13
& op1(e12,e13) = e14
& op1(e12,e14) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e14
& op1(e13,e13) = e11
& op1(e13,e14) = e10
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e10
& op1(e14,e14) = e12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e20,e24) = e24
& op2(e21,e20) = e21
& op2(e21,e21) = e20
& op2(e21,e22) = e24
& op2(e21,e23) = e22
& op2(e21,e24) = e23
& op2(e22,e20) = e22
& op2(e22,e21) = e24
& op2(e22,e22) = e23
& op2(e22,e23) = e20
& op2(e22,e24) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e22
& op2(e23,e22) = e21
& op2(e23,e23) = e24
& op2(e23,e24) = e20
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e20
& op2(e24,e23) = e21
& op2(e24,e24) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( e10 = j(e24)
| e11 = j(e24)
| e12 = j(e24)
| e13 = j(e24)
| e14 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f11,plain,
( e10 = j(e23)
| e11 = j(e23)
| e12 = j(e23)
| e13 = j(e23)
| e14 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
fof(f12,plain,
( e10 = j(e22)
| e11 = j(e22)
| e12 = j(e22)
| e13 = j(e22)
| e14 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
fof(f13,plain,
( e10 = j(e21)
| e11 = j(e21)
| e12 = j(e21)
| e13 = j(e21)
| e14 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f14,plain,
( e10 = j(e20)
| e11 = j(e20)
| e12 = j(e20)
| e13 = j(e20)
| e14 = j(e20) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
( e20 = h(e14)
| e21 = h(e14)
| e22 = h(e14)
| e23 = h(e14)
| e24 = h(e14) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
( e20 = h(e13)
| e21 = h(e13)
| e22 = h(e13)
| e23 = h(e13)
| e24 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
( e20 = h(e12)
| e21 = h(e12)
| e22 = h(e12)
| e23 = h(e12)
| e24 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
( e20 = h(e11)
| e21 = h(e11)
| e22 = h(e11)
| e23 = h(e11)
| e24 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f21,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f32,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f80,plain,
e22 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e21 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
e20 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
e23 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
e24 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
e12 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f106,plain,
e10 = op1(e14,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f107,plain,
e11 = op1(e14,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f108,plain,
e13 = op1(e14,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f110,plain,
e10 = op1(e13,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f111,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f113,plain,
e12 = op1(e13,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f114,plain,
e13 = op1(e13,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f115,plain,
e11 = op1(e12,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f117,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f118,plain,
e10 = op1(e12,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f119,plain,
e12 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f120,plain,
e13 = op1(e11,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f121,plain,
e12 = op1(e11,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f122,plain,
e10 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f124,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f129,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f155,plain,
e23 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f156,plain,
e22 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f158,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f159,plain,
e21 != e23,
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(f170,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f171,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f172,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f173,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f174,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f176,definition,
( spl0_1
<=> e14 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(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(f181,plain,
( e13 != j(e24)
| spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f182,plain,
( e13 = j(e24)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl0_3
<=> e12 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f186,plain,
( e12 = j(e24)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl0_4
<=> e11 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f190,plain,
( e11 = j(e24)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl0_5
<=> e10 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f194,plain,
( e10 = j(e24)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f192,f188,f184,f180,f176]) ).
fof(f197,definition,
( spl0_6
<=> e14 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f199,plain,
( e14 = j(e23)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl0_7
<=> e13 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f202,plain,
( e13 != j(e23)
| spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f203,plain,
( e13 = j(e23)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl0_8
<=> e12 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f207,plain,
( e12 = j(e23)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_9
<=> e11 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f211,plain,
( e11 = j(e23)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_10
<=> e10 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f215,plain,
( e10 = j(e23)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f213,f209,f205,f201,f197]) ).
fof(f218,definition,
( spl0_11
<=> e14 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f219,plain,
( e14 != j(e22)
| spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( e14 = j(e22)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_12
<=> e13 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f224,plain,
( e13 = j(e22)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl0_13
<=> e12 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f227,plain,
( e12 != j(e22)
| spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
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(f244,plain,
( e13 != j(e21)
| spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
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(f269,plain,
( e12 != j(e20)
| spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f270,plain,
( e12 = j(e20)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_24
<=> e11 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f274,plain,
( e11 = j(e20)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl0_25
<=> e10 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f278,plain,
( e10 = j(e20)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f14,f276,f272,f268,f264,f260]) ).
fof(f281,definition,
( spl0_26
<=> e24 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f283,plain,
( e24 = h(e14)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl0_27
<=> e23 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f287,plain,
( e23 = h(e14)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f289,definition,
( spl0_28
<=> e22 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f291,plain,
( e22 = h(e14)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,definition,
( spl0_29
<=> e21 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f295,plain,
( e21 = h(e14)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl0_30
<=> e20 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f299,plain,
( e20 = h(e14)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f15,f297,f293,f289,f285,f281]) ).
fof(f302,definition,
( spl0_31
<=> e24 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f304,plain,
( e24 = h(e13)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl0_32
<=> e23 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f308,plain,
( e23 = h(e13)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl0_33
<=> e22 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f312,plain,
( e22 = h(e13)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl0_34
<=> e21 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f316,plain,
( e21 = h(e13)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl0_35
<=> e20 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f320,plain,
( e20 = h(e13)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f16,f318,f314,f310,f306,f302]) ).
fof(f323,definition,
( spl0_36
<=> e24 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f325,plain,
( e24 = h(e12)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl0_37
<=> e23 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f329,plain,
( e23 = h(e12)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl0_38
<=> e22 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f333,plain,
( e22 = h(e12)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl0_39
<=> e21 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f337,plain,
( e21 = h(e12)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl0_40
<=> e20 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f341,plain,
( e20 = h(e12)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f17,f339,f335,f331,f327,f323]) ).
fof(f344,definition,
( spl0_41
<=> e24 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f346,plain,
( e24 = h(e11)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f348,definition,
( spl0_42
<=> e23 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f350,plain,
( e23 = h(e11)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f352,definition,
( spl0_43
<=> e22 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f354,plain,
( e22 = h(e11)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f356,definition,
( spl0_44
<=> e21 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f358,plain,
( e21 = h(e11)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl0_45
<=> e20 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f362,plain,
( e20 = h(e11)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f18,f360,f356,f352,f348,f344]) ).
fof(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(f381,definition,
( spl0_50
<=> e20 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f383,plain,
( e20 = h(e10)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f385,plain,
j(e22) = op1(j(e24),j(e24)),
inference(forward_demodulation,[],[f30,f80]) ).
fof(f386,plain,
j(e21) = op1(j(e24),j(e23)),
inference(forward_demodulation,[],[f31,f81]) ).
fof(f387,plain,
j(e20) = op1(j(e24),j(e22)),
inference(forward_demodulation,[],[f32,f82]) ).
fof(f388,plain,
j(e23) = op1(j(e24),j(e21)),
inference(forward_demodulation,[],[f33,f83]) ).
fof(f389,plain,
j(e24) = op1(j(e24),j(e20)),
inference(forward_demodulation,[],[f34,f84]) ).
fof(f435,plain,
( e14 = j(e24)
| ~ spl0_26 ),
inference(superposition,[],[f20,f283]) ).
fof(f436,plain,
( e13 = e14
| ~ spl0_2
| ~ spl0_26 ),
inference(forward_demodulation,[],[f435,f182]) ).
fof(f437,plain,
( $false
| ~ spl0_2
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f436,f165]) ).
fof(f438,plain,
( ~ spl0_2
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f440,plain,
( e14 = j(e23)
| ~ spl0_27 ),
inference(superposition,[],[f20,f287]) ).
fof(f441,plain,
( e13 = j(e24)
| ~ spl0_31 ),
inference(superposition,[],[f21,f304]) ).
fof(f442,plain,
( e12 = j(e24)
| ~ spl0_36 ),
inference(superposition,[],[f22,f325]) ).
fof(f443,plain,
( spl0_3
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f442,f323,f184]) ).
fof(f445,plain,
( e12 = j(e23)
| ~ spl0_37 ),
inference(superposition,[],[f22,f329]) ).
fof(f446,plain,
( spl0_8
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f445,f327,f205]) ).
fof(f454,plain,
( e12 = e14
| ~ spl0_8
| ~ spl0_27 ),
inference(forward_demodulation,[],[f440,f207]) ).
fof(f455,plain,
( $false
| ~ spl0_8
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f454,f166]) ).
fof(f456,plain,
( ~ spl0_8
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f459,plain,
( e14 = j(e22)
| ~ spl0_28 ),
inference(superposition,[],[f20,f291]) ).
fof(f460,plain,
( e11 = j(e24)
| ~ spl0_41 ),
inference(superposition,[],[f23,f346]) ).
fof(f461,plain,
( spl0_4
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f460,f344,f188]) ).
fof(f463,plain,
( e11 = j(e23)
| ~ spl0_42 ),
inference(superposition,[],[f23,f350]) ).
fof(f464,plain,
( spl0_9
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f463,f348,f209]) ).
fof(f467,plain,
( e11 = j(e22)
| ~ spl0_43 ),
inference(superposition,[],[f23,f354]) ).
fof(f468,plain,
( spl0_14
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f467,f352,f230]) ).
fof(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(f527,plain,
( e13 = j(e23)
| ~ spl0_32 ),
inference(superposition,[],[f21,f308]) ).
fof(f528,plain,
( e12 = e13
| ~ spl0_8
| ~ spl0_32 ),
inference(forward_demodulation,[],[f527,f207]) ).
fof(f529,plain,
( $false
| ~ spl0_8
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f528,f167]) ).
fof(f530,plain,
( ~ spl0_8
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f533,plain,
( e13 = j(e22)
| ~ spl0_33 ),
inference(superposition,[],[f21,f312]) ).
fof(f534,plain,
( spl0_12
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f533,f310,f222]) ).
fof(f538,plain,
( e13 = j(e21)
| ~ spl0_34 ),
inference(superposition,[],[f21,f316]) ).
fof(f543,plain,
( spl0_17
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f538,f314,f243]) ).
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(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(f626,plain,
( e23 = h(e12)
| ~ spl0_8 ),
inference(superposition,[],[f26,f207]) ).
fof(f628,plain,
( e21 = h(e13)
| ~ spl0_17 ),
inference(superposition,[],[f28,f245]) ).
fof(f629,plain,
( e20 = h(e10)
| ~ spl0_25 ),
inference(superposition,[],[f29,f278]) ).
fof(f632,plain,
( j(e21) = op1(e11,j(e23))
| ~ spl0_4 ),
inference(superposition,[],[f386,f190]) ).
fof(f635,plain,
( op1(e11,e12) = j(e21)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f632,f207]) ).
fof(f637,plain,
( e13 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f635,f245]) ).
fof(f639,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f637,f122]) ).
fof(f642,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f639,f172]) ).
fof(f643,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f660,plain,
( op1(e12,e12) = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f385,f186]) ).
fof(f661,plain,
( e24 = h(e12)
| ~ spl0_3 ),
inference(superposition,[],[f25,f186]) ).
fof(f664,plain,
( e14 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[],[f660,f220]) ).
fof(f666,plain,
( e13 = e14
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[],[f664,f117]) ).
fof(f668,plain,
( $false
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f666,f165]) ).
fof(f669,plain,
( ~ spl0_3
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f688,plain,
( e24 = h(e13)
| ~ spl0_2 ),
inference(superposition,[],[f25,f182]) ).
fof(f694,plain,
( e23 = e24
| ~ spl0_3
| ~ spl0_37 ),
inference(forward_demodulation,[],[f661,f329]) ).
fof(f699,plain,
( $false
| ~ spl0_3
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f694,f155]) ).
fof(f700,plain,
( ~ spl0_3
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f714,plain,
( e24 = h(e12)
| ~ spl0_3 ),
inference(superposition,[],[f25,f186]) ).
fof(f719,plain,
( e23 = h(e13)
| ~ spl0_7 ),
inference(superposition,[],[f26,f203]) ).
fof(f738,plain,
( e22 = h(e10)
| ~ spl0_15 ),
inference(superposition,[],[f27,f236]) ).
fof(f740,plain,
( e21 = h(e12)
| ~ spl0_18 ),
inference(superposition,[],[f28,f249]) ).
fof(f741,plain,
( spl0_39
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f740,f247,f335]) ).
fof(f748,plain,
( e14 = j(e20)
| ~ spl0_30 ),
inference(superposition,[],[f20,f299]) ).
fof(f749,plain,
( $false
| spl0_21
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f748,f261]) ).
fof(f750,plain,
( spl0_21
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f749]) ).
fof(f751,plain,
( e12 = e14
| ~ spl0_3
| ~ spl0_26 ),
inference(forward_demodulation,[],[f435,f186]) ).
fof(f753,plain,
( $false
| ~ spl0_3
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f751,f166]) ).
fof(f754,plain,
( ~ spl0_3
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f753]) ).
fof(f766,plain,
( e11 = e14
| ~ spl0_4
| ~ spl0_26 ),
inference(forward_demodulation,[],[f435,f190]) ).
fof(f768,plain,
( $false
| ~ spl0_4
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f766,f168]) ).
fof(f769,plain,
( ~ spl0_4
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f768]) ).
fof(f780,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(superposition,[],[f25,f194]) ).
fof(f784,plain,
( op1(e10,e10) = j(e22)
| ~ spl0_5 ),
inference(superposition,[],[f385,f194]) ).
fof(f792,plain,
( e22 = e24
| ~ spl0_5
| ~ spl0_48 ),
inference(forward_demodulation,[],[f780,f375]) ).
fof(f795,plain,
( $false
| ~ spl0_5
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f792,f156]) ).
fof(f796,plain,
( ~ spl0_5
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f795]) ).
fof(f797,plain,
( $false
| ~ spl0_15
| spl0_48 ),
inference(forward_subsumption_resolution,[],[f738,f374]) ).
fof(f798,plain,
( ~ spl0_15
| spl0_48 ),
inference(avatar_contradiction_clause,[],[f797]) ).
fof(f801,plain,
( e13 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[],[f784,f224]) ).
fof(f802,plain,
( e10 = e13
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[],[f801,f129]) ).
fof(f803,plain,
( $false
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f802,f172]) ).
fof(f804,plain,
( ~ spl0_5
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f803]) ).
fof(f807,plain,
( e12 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f784,f228]) ).
fof(f808,plain,
( e10 = e12
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f807,f129]) ).
fof(f809,plain,
( $false
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f808,f173]) ).
fof(f810,plain,
( ~ spl0_5
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f809]) ).
fof(f816,plain,
( e14 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f784,f220]) ).
fof(f817,plain,
( e10 = e14
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f816,f129]) ).
fof(f818,plain,
( $false
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f817,f171]) ).
fof(f819,plain,
( ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f818]) ).
fof(f822,plain,
( e11 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f784,f232]) ).
fof(f823,plain,
( e10 = e11
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f822,f129]) ).
fof(f824,plain,
( $false
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f823,f174]) ).
fof(f825,plain,
( ~ spl0_5
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f824]) ).
fof(f827,plain,
( e21 = e24
| ~ spl0_3
| ~ spl0_39 ),
inference(forward_demodulation,[],[f714,f337]) ).
fof(f834,plain,
( $false
| ~ spl0_3
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f827,f158]) ).
fof(f835,plain,
( ~ spl0_3
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f834]) ).
fof(f860,plain,
( e14 = j(e21)
| ~ spl0_29 ),
inference(superposition,[],[f20,f295]) ).
fof(f864,plain,
( e13 = e14
| ~ spl0_7
| ~ spl0_27 ),
inference(forward_demodulation,[],[f440,f203]) ).
fof(f867,plain,
( $false
| ~ spl0_7
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f864,f165]) ).
fof(f868,plain,
( ~ spl0_7
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f867]) ).
fof(f872,plain,
( $false
| spl0_7
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f527,f202]) ).
fof(f873,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f872]) ).
fof(f875,plain,
( e11 = e14
| ~ spl0_9
| ~ spl0_27 ),
inference(forward_demodulation,[],[f440,f211]) ).
fof(f877,plain,
( $false
| ~ spl0_9
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f875,f168]) ).
fof(f878,plain,
( ~ spl0_9
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f877]) ).
fof(f884,plain,
( j(e21) = op1(j(e24),e14)
| ~ spl0_6 ),
inference(superposition,[],[f386,f199]) ).
fof(f885,plain,
( e23 = h(e14)
| ~ spl0_6 ),
inference(superposition,[],[f26,f199]) ).
fof(f886,plain,
( op1(e12,e14) = j(e21)
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f884,f186]) ).
fof(f891,plain,
( e14 = j(e23)
| ~ spl0_27 ),
inference(superposition,[],[f20,f287]) ).
fof(f896,plain,
( e13 = j(e20)
| ~ spl0_35 ),
inference(superposition,[],[f21,f320]) ).
fof(f900,plain,
( $false
| spl0_2
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f441,f181]) ).
fof(f901,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f900]) ).
fof(f903,plain,
( spl0_34
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f628,f243,f314]) ).
fof(f911,plain,
( e13 = op1(e12,e14)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f886,f245]) ).
fof(f913,plain,
( e11 = e13
| ~ spl0_3
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f911,f115]) ).
fof(f916,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f913,f169]) ).
fof(f917,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f916]) ).
fof(f923,plain,
( e10 = e14
| ~ spl0_10
| ~ spl0_27 ),
inference(forward_demodulation,[],[f891,f215]) ).
fof(f927,plain,
( $false
| ~ spl0_10
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f923,f171]) ).
fof(f928,plain,
( ~ spl0_10
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f927]) ).
fof(f934,plain,
( spl0_50
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f629,f276,f381]) ).
fof(f965,plain,
( e12 = j(e22)
| ~ spl0_38 ),
inference(superposition,[],[f22,f333]) ).
fof(f979,plain,
( j(e23) = op1(e11,j(e21))
| ~ spl0_4 ),
inference(superposition,[],[f388,f190]) ).
fof(f980,plain,
( j(e23) = op1(j(e24),e13)
| ~ spl0_17 ),
inference(superposition,[],[f388,f245]) ).
fof(f982,plain,
( op1(e11,e13) = j(e23)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f979,f245]) ).
fof(f984,plain,
( e14 = op1(e11,e13)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f982,f199]) ).
fof(f986,plain,
( e12 = e14
| ~ spl0_4
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f984,f121]) ).
fof(f989,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f986,f166]) ).
fof(f990,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f989]) ).
fof(f992,plain,
( e13 = e14
| ~ spl0_17
| ~ spl0_29 ),
inference(forward_demodulation,[],[f860,f245]) ).
fof(f1003,plain,
( op1(e14,e13) = j(e23)
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[],[f980,f178]) ).
fof(f1004,plain,
( $false
| ~ spl0_17
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f992,f165]) ).
fof(f1005,plain,
( ~ spl0_17
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1004]) ).
fof(f1019,plain,
( e12 = e14
| ~ spl0_13
| ~ spl0_28 ),
inference(forward_demodulation,[],[f459,f228]) ).
fof(f1024,plain,
( e11 = op1(e14,e13)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1003,f211]) ).
fof(f1027,plain,
( $false
| ~ spl0_13
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1019,f166]) ).
fof(f1028,plain,
( ~ spl0_13
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1027]) ).
fof(f1029,plain,
( e10 = e11
| ~ spl0_1
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1024,f106]) ).
fof(f1030,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1029,f174]) ).
fof(f1031,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1030]) ).
fof(f1032,plain,
( e21 = e24
| ~ spl0_2
| ~ spl0_34 ),
inference(forward_demodulation,[],[f688,f316]) ).
fof(f1034,plain,
( $false
| spl0_13
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f965,f227]) ).
fof(f1035,plain,
( spl0_13
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f1034]) ).
fof(f1040,plain,
( $false
| ~ spl0_2
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1032,f158]) ).
fof(f1041,plain,
( ~ spl0_2
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1040]) ).
fof(f1046,plain,
( spl0_37
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f626,f205,f327]) ).
fof(f1059,plain,
( op1(e14,e13) = j(e23)
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[],[f980,f178]) ).
fof(f1060,plain,
( e12 = op1(e14,e13)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1059,f207]) ).
fof(f1061,plain,
( e10 = e12
| ~ spl0_1
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1060,f106]) ).
fof(f1062,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1061,f173]) ).
fof(f1063,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1062]) ).
fof(f1069,plain,
( e24 = h(e14)
| ~ spl0_1 ),
inference(superposition,[],[f25,f178]) ).
fof(f1085,plain,
( e23 = h(e10)
| ~ spl0_10 ),
inference(superposition,[],[f26,f215]) ).
fof(f1091,plain,
( e20 = e23
| ~ spl0_10
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1085,f383]) ).
fof(f1094,plain,
( $false
| ~ spl0_10
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1091,f162]) ).
fof(f1095,plain,
( ~ spl0_10
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1094]) ).
fof(f1121,plain,
( e12 = j(e20)
| ~ spl0_40 ),
inference(superposition,[],[f22,f341]) ).
fof(f1131,plain,
( e14 = op1(e14,j(e20))
| ~ spl0_1 ),
inference(superposition,[],[f389,f178]) ).
fof(f1134,plain,
( e14 = op1(e14,e12)
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1131,f270]) ).
fof(f1136,plain,
( e11 = e14
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1134,f107]) ).
fof(f1139,plain,
( $false
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1136,f168]) ).
fof(f1140,plain,
( ~ spl0_1
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1139]) ).
fof(f1146,plain,
( $false
| spl0_23
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1121,f269]) ).
fof(f1147,plain,
( spl0_23
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1146]) ).
fof(f1148,plain,
( e14 = op1(e14,e11)
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1131,f274]) ).
fof(f1149,plain,
( e13 = e14
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1148,f108]) ).
fof(f1150,plain,
( $false
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1149,f165]) ).
fof(f1151,plain,
( ~ spl0_1
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1150]) ).
fof(f1160,plain,
( e14 = op1(e14,e13)
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1131,f266]) ).
fof(f1161,plain,
( e10 = e14
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1160,f106]) ).
fof(f1162,plain,
( $false
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1161,f171]) ).
fof(f1163,plain,
( ~ spl0_1
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1162]) ).
fof(f1166,plain,
( spl0_22
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f896,f318,f264]) ).
fof(f1170,plain,
( e14 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1131,f262]) ).
fof(f1173,plain,
( e12 = e14
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1170,f105]) ).
fof(f1178,plain,
( $false
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1173,f166]) ).
fof(f1179,plain,
( ~ spl0_1
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1178]) ).
fof(f1230,plain,
( e12 = op1(e12,j(e20))
| ~ spl0_3 ),
inference(superposition,[],[f389,f186]) ).
fof(f1231,plain,
( e12 = op1(e12,e14)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1230,f262]) ).
fof(f1236,plain,
( e11 = e12
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1231,f115]) ).
fof(f1240,plain,
( $false
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1236,f170]) ).
fof(f1241,plain,
( ~ spl0_3
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1240]) ).
fof(f1311,plain,
( e12 = j(e21)
| ~ spl0_39 ),
inference(superposition,[],[f22,f337]) ).
fof(f1312,plain,
( spl0_18
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1311,f335,f247]) ).
fof(f1314,plain,
( j(e23) = op1(j(e24),e12)
| ~ spl0_18 ),
inference(superposition,[],[f388,f249]) ).
fof(f1319,plain,
( op1(e11,e12) = j(e23)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1314,f190]) ).
fof(f1322,plain,
( e11 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1319,f211]) ).
fof(f1323,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1322,f122]) ).
fof(f1324,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1323,f174]) ).
fof(f1325,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1324]) ).
fof(f1361,plain,
( spl0_27
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f885,f197,f285]) ).
fof(f1368,plain,
( j(e21) = op1(e13,j(e23))
| ~ spl0_2 ),
inference(superposition,[],[f386,f182]) ).
fof(f1370,plain,
( j(e23) = op1(e13,j(e21))
| ~ spl0_2 ),
inference(superposition,[],[f388,f182]) ).
fof(f1375,plain,
( op1(e13,e14) = j(e21)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1368,f199]) ).
fof(f1379,plain,
( e12 = op1(e13,e14)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1375,f249]) ).
fof(f1381,plain,
( e10 = e12
| ~ spl0_2
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1379,f110]) ).
fof(f1384,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1381,f173]) ).
fof(f1385,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1384]) ).
fof(f1391,plain,
( op1(e13,e11) = j(e23)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1370,f253]) ).
fof(f1397,plain,
( e14 = op1(e13,e11)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1391,f199]) ).
fof(f1401,plain,
( e12 = e14
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1397,f113]) ).
fof(f1406,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1401,f166]) ).
fof(f1407,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1406]) ).
fof(f1418,plain,
( op1(e13,e10) = j(e23)
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1370,f257]) ).
fof(f1423,plain,
( e14 = op1(e13,e10)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1418,f199]) ).
fof(f1425,plain,
( e13 = e14
| ~ spl0_2
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1423,f114]) ).
fof(f1426,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1425,f165]) ).
fof(f1427,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1426]) ).
fof(f1432,plain,
( op1(e13,e14) = j(e23)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1370,f241]) ).
fof(f1436,plain,
( e14 = op1(e13,e14)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1432,f199]) ).
fof(f1439,plain,
( e10 = e14
| ~ spl0_2
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1436,f110]) ).
fof(f1442,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1439,f171]) ).
fof(f1443,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1442]) ).
fof(f1494,plain,
( j(e23) = op1(e12,j(e21))
| ~ spl0_3 ),
inference(superposition,[],[f388,f186]) ).
fof(f1497,plain,
( op1(e12,e11) = j(e23)
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1494,f253]) ).
fof(f1501,plain,
( e14 = op1(e12,e11)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1497,f199]) ).
fof(f1504,plain,
( e10 = e14
| ~ spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1501,f118]) ).
fof(f1506,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1504,f171]) ).
fof(f1507,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1506]) ).
fof(f1518,plain,
( op1(e12,e10) = j(e23)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1494,f257]) ).
fof(f1524,plain,
( e14 = op1(e12,e10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1518,f199]) ).
fof(f1528,plain,
( e12 = e14
| ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1524,f119]) ).
fof(f1529,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1528,f166]) ).
fof(f1530,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1529]) ).
fof(f1537,plain,
( op1(e12,e14) = j(e23)
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1494,f241]) ).
fof(f1539,plain,
( e14 = op1(e12,e14)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1537,f199]) ).
fof(f1541,plain,
( e11 = e14
| ~ spl0_3
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1539,f115]) ).
fof(f1544,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1541,f168]) ).
fof(f1545,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1544]) ).
fof(f1580,plain,
( j(e21) = op1(j(e24),e14)
| ~ spl0_6 ),
inference(superposition,[],[f386,f199]) ).
fof(f1582,plain,
( op1(e11,e14) = j(e21)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1580,f190]) ).
fof(f1589,plain,
( e12 = e13
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f228,f224]) ).
fof(f1597,plain,
( $false
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1589,f167]) ).
fof(f1598,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1597]) ).
fof(f1631,plain,
( e13 = j(e21)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1582,f120]) ).
fof(f1635,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f1631,f244]) ).
fof(f1636,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1635]) ).
fof(f1648,plain,
( e23 = e24
| ~ spl0_1
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1069,f287]) ).
fof(f1651,plain,
( $false
| ~ spl0_1
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1648,f155]) ).
fof(f1652,plain,
( ~ spl0_1
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1651]) ).
fof(f1653,plain,
( e21 = e23
| ~ spl0_8
| ~ spl0_39 ),
inference(forward_demodulation,[],[f626,f337]) ).
fof(f1655,plain,
( $false
| spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f860,f240]) ).
fof(f1656,plain,
( spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1655]) ).
fof(f1667,plain,
( $false
| ~ spl0_8
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1653,f159]) ).
fof(f1668,plain,
( ~ spl0_8
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1667]) ).
fof(f1675,plain,
( op1(e13,e13) = j(e22)
| ~ spl0_2 ),
inference(superposition,[],[f385,f182]) ).
fof(f1676,plain,
( j(e21) = op1(e13,j(e23))
| ~ spl0_2 ),
inference(superposition,[],[f386,f182]) ).
fof(f1678,plain,
( j(e23) = op1(e13,j(e21))
| ~ spl0_2 ),
inference(superposition,[],[f388,f182]) ).
fof(f1679,plain,
( e13 = op1(e13,j(e20))
| ~ spl0_2 ),
inference(superposition,[],[f389,f182]) ).
fof(f1681,plain,
( op1(e13,e14) = j(e23)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1678,f241]) ).
fof(f1685,plain,
( e12 = op1(e13,e14)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1681,f207]) ).
fof(f1688,plain,
( e10 = e12
| ~ spl0_2
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1685,f110]) ).
fof(f1689,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1688,f173]) ).
fof(f1690,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1689]) ).
fof(f1701,plain,
( e14 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1675,f220]) ).
fof(f1704,plain,
( e11 = e14
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1701,f111]) ).
fof(f1705,plain,
( $false
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1704,f168]) ).
fof(f1706,plain,
( ~ spl0_2
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1705]) ).
fof(f1714,plain,
( e13 = op1(e13,e14)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1679,f262]) ).
fof(f1724,plain,
( e10 = e13
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1714,f110]) ).
fof(f1726,plain,
( $false
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1724,f172]) ).
fof(f1727,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1726]) ).
fof(f1749,plain,
( op1(e13,e11) = j(e21)
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1676,f211]) ).
fof(f1752,plain,
( e14 = op1(e13,e11)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1749,f241]) ).
fof(f1754,plain,
( e12 = e14
| ~ spl0_2
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1752,f113]) ).
fof(f1757,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1754,f166]) ).
fof(f1758,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1757]) ).
fof(f1759,plain,
( spl0_32
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f719,f201,f306]) ).
fof(f1764,plain,
( op1(e13,e13) = j(e21)
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1676,f203]) ).
fof(f1766,plain,
( e14 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1764,f241]) ).
fof(f1768,plain,
( e11 = e14
| ~ spl0_2
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1766,f111]) ).
fof(f1771,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1768,f168]) ).
fof(f1772,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1771]) ).
fof(f1800,plain,
( j(e21) = op1(e11,j(e23))
| ~ spl0_4 ),
inference(superposition,[],[f386,f190]) ).
fof(f1801,plain,
( j(e20) = op1(e11,j(e22))
| ~ spl0_4 ),
inference(superposition,[],[f387,f190]) ).
fof(f1802,plain,
( j(e23) = op1(e11,j(e21))
| ~ spl0_4 ),
inference(superposition,[],[f388,f190]) ).
fof(f1803,plain,
( e11 = op1(e11,j(e20))
| ~ spl0_4 ),
inference(superposition,[],[f389,f190]) ).
fof(f1807,plain,
( op1(e11,e12) = j(e21)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1800,f207]) ).
fof(f1811,plain,
( e14 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1807,f241]) ).
fof(f1813,plain,
( e10 = e14
| ~ spl0_4
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1811,f122]) ).
fof(f1816,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1813,f171]) ).
fof(f1817,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1816]) ).
fof(f1824,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1802,f257]) ).
fof(f1830,plain,
( e12 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1824,f207]) ).
fof(f1832,plain,
( e11 = e12
| ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1830,f124]) ).
fof(f1833,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1832,f170]) ).
fof(f1834,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1833]) ).
fof(f1843,plain,
( e11 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1807,f253]) ).
fof(f1845,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1843,f122]) ).
fof(f1846,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1845,f174]) ).
fof(f1847,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1846]) ).
fof(f1851,plain,
( e11 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1803,f270]) ).
fof(f1857,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1851,f122]) ).
fof(f1860,plain,
( $false
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1857,f174]) ).
fof(f1861,plain,
( ~ spl0_4
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1860]) ).
fof(f1870,plain,
( op1(e11,e12) = j(e20)
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1801,f228]) ).
fof(f1872,plain,
( e14 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1870,f262]) ).
fof(f1874,plain,
( e10 = e14
| ~ spl0_4
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1872,f122]) ).
fof(f1877,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1874,f171]) ).
fof(f1878,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1877]) ).
fof(f1879,plain,
( e11 = e13
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f203,f211]) ).
fof(f1891,plain,
( e11 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1870,f274]) ).
fof(f1895,plain,
( $false
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1879,f169]) ).
fof(f1896,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1895]) ).
fof(f1899,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1891,f122]) ).
fof(f1901,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1899,f174]) ).
fof(f1902,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1901]) ).
fof(f1908,plain,
( e14 = op1(e11,j(e23))
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1800,f241]) ).
fof(f1911,plain,
( e14 = op1(e11,e13)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1908,f203]) ).
fof(f1912,plain,
( e12 = e14
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1911,f121]) ).
fof(f1913,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1912,f166]) ).
fof(f1914,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1913]) ).
fof(f1921,plain,
( op1(e11,e12) = j(e23)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1802,f249]) ).
fof(f1926,plain,
( e13 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1921,f203]) ).
fof(f1929,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1926,f122]) ).
fof(f1930,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1929,f172]) ).
fof(f1931,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1930]) ).
fof(f1968,plain,
( op1(e11,e12) = j(e20)
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1801,f228]) ).
fof(f1970,plain,
( e13 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1968,f266]) ).
fof(f1971,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1970,f122]) ).
fof(f1972,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1971,f172]) ).
fof(f1973,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1972]) ).
fof(f1986,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1800,f215]) ).
fof(f2011,plain,
( e12 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1986,f249]) ).
fof(f2020,plain,
( e11 = e12
| ~ spl0_4
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2011,f124]) ).
fof(f2023,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2020,f170]) ).
fof(f2024,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f2023]) ).
fof(f2045,plain,
( j(e21) = op1(e13,j(e23))
| ~ spl0_2 ),
inference(superposition,[],[f386,f182]) ).
fof(f2052,plain,
( op1(e13,e10) = j(e21)
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2045,f215]) ).
fof(f2056,plain,
( e14 = op1(e13,e10)
| ~ spl0_2
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2052,f241]) ).
fof(f2057,plain,
( e13 = e14
| ~ spl0_2
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2056,f114]) ).
fof(f2058,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2057,f165]) ).
fof(f2059,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2058]) ).
fof(f2072,plain,
( j(e21) = op1(e12,j(e23))
| ~ spl0_3 ),
inference(superposition,[],[f386,f186]) ).
fof(f2074,plain,
( j(e23) = op1(e12,j(e21))
| ~ spl0_3 ),
inference(superposition,[],[f388,f186]) ).
fof(f2077,plain,
( op1(e12,e14) = j(e23)
| ~ spl0_3
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2074,f241]) ).
fof(f2079,plain,
( op1(e12,e10) = j(e21)
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2072,f215]) ).
fof(f2083,plain,
( e14 = op1(e12,e10)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2079,f241]) ).
fof(f2085,plain,
( e12 = e14
| ~ spl0_3
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2083,f119]) ).
fof(f2088,plain,
( $false
| ~ spl0_3
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2085,f166]) ).
fof(f2089,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2088]) ).
fof(f2101,plain,
( op1(e12,e11) = j(e21)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2072,f211]) ).
fof(f2111,plain,
( e14 = op1(e12,e11)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2101,f241]) ).
fof(f2112,plain,
( e10 = e14
| ~ spl0_3
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2111,f118]) ).
fof(f2113,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2112,f171]) ).
fof(f2114,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2113]) ).
fof(f2123,plain,
( e13 = op1(e12,e14)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2077,f203]) ).
fof(f2125,plain,
( e11 = e13
| ~ spl0_3
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2123,f115]) ).
fof(f2126,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2125,f169]) ).
fof(f2127,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2126]) ).
fof(f2147,plain,
( spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1069,f176,f281]) ).
fof(f2150,plain,
( op1(e14,e14) = j(e22)
| ~ spl0_1 ),
inference(superposition,[],[f385,f178]) ).
fof(f2151,plain,
( j(e21) = op1(e14,j(e23))
| ~ spl0_1 ),
inference(superposition,[],[f386,f178]) ).
fof(f2153,plain,
( j(e23) = op1(e14,j(e21))
| ~ spl0_1 ),
inference(superposition,[],[f388,f178]) ).
fof(f2159,plain,
( e13 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2150,f224]) ).
fof(f2163,plain,
( e12 = e13
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2159,f105]) ).
fof(f2165,plain,
( $false
| ~ spl0_1
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f2163,f167]) ).
fof(f2166,plain,
( ~ spl0_1
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f2165]) ).
fof(f2180,plain,
( op1(e14,e13) = j(e21)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2151,f203]) ).
fof(f2193,plain,
( op1(e14,e12) = j(e23)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2153,f249]) ).
fof(f2195,plain,
( e13 = op1(e14,e12)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2193,f203]) ).
fof(f2197,plain,
( e11 = e13
| ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2195,f107]) ).
fof(f2200,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2197,f169]) ).
fof(f2201,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f2200]) ).
fof(f2203,plain,
( e11 = e12
| ~ spl0_14
| ~ spl0_38 ),
inference(forward_demodulation,[],[f965,f232]) ).
fof(f2209,plain,
( e11 = op1(e14,e13)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2180,f253]) ).
fof(f2212,plain,
( $false
| ~ spl0_14
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f2203,f170]) ).
fof(f2213,plain,
( ~ spl0_14
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f2212]) ).
fof(f2215,plain,
( e10 = e11
| ~ spl0_1
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2209,f106]) ).
fof(f2216,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f2215,f174]) ).
fof(f2217,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f2216]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f195]) ).
cnf(s2,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f216]) ).
cnf(s3,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f237]) ).
cnf(s4,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f258]) ).
cnf(s5,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f279]) ).
cnf(s6,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f300]) ).
cnf(s7,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f321]) ).
cnf(s8,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(sat_conversion,[],[f342]) ).
cnf(s9,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f363]) ).
cnf(s11,plain,
( ~ spl0_2
| ~ spl0_26 ),
inference(sat_conversion,[],[f438]) ).
cnf(s12,plain,
( spl0_3
| ~ spl0_36 ),
inference(sat_conversion,[],[f443]) ).
cnf(s13,plain,
( spl0_8
| ~ spl0_37 ),
inference(sat_conversion,[],[f446]) ).
cnf(s16,plain,
( ~ spl0_8
| ~ spl0_27 ),
inference(sat_conversion,[],[f456]) ).
cnf(s17,plain,
( spl0_4
| ~ spl0_41 ),
inference(sat_conversion,[],[f461]) ).
cnf(s18,plain,
( spl0_9
| ~ spl0_42 ),
inference(sat_conversion,[],[f464]) ).
cnf(s19,plain,
( spl0_14
| ~ spl0_43 ),
inference(sat_conversion,[],[f468]) ).
cnf(s22,plain,
( spl0_19
| ~ spl0_44 ),
inference(sat_conversion,[],[f480]) ).
cnf(s35,plain,
( ~ spl0_8
| ~ spl0_32 ),
inference(sat_conversion,[],[f530]) ).
cnf(s36,plain,
( spl0_12
| ~ spl0_33 ),
inference(sat_conversion,[],[f534]) ).
cnf(s38,plain,
( spl0_17
| ~ spl0_34 ),
inference(sat_conversion,[],[f543]) ).
cnf(s41,plain,
( spl0_24
| ~ spl0_45 ),
inference(sat_conversion,[],[f557]) ).
cnf(s48,plain,
( spl0_11
| ~ spl0_28 ),
inference(sat_conversion,[],[f591]) ).
cnf(s54,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_17 ),
inference(sat_conversion,[],[f643]) ).
cnf(s58,plain,
( ~ spl0_3
| ~ spl0_11 ),
inference(sat_conversion,[],[f669]) ).
cnf(s61,plain,
( ~ spl0_3
| ~ spl0_37 ),
inference(sat_conversion,[],[f700]) ).
cnf(s69,plain,
( ~ spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f741]) ).
cnf(s70,plain,
( spl0_21
| ~ spl0_30 ),
inference(sat_conversion,[],[f750]) ).
cnf(s71,plain,
( ~ spl0_3
| ~ spl0_26 ),
inference(sat_conversion,[],[f754]) ).
cnf(s74,plain,
( ~ spl0_4
| ~ spl0_26 ),
inference(sat_conversion,[],[f769]) ).
cnf(s79,plain,
( ~ spl0_5
| ~ spl0_48 ),
inference(sat_conversion,[],[f796]) ).
cnf(s80,plain,
( ~ spl0_15
| spl0_48 ),
inference(sat_conversion,[],[f798]) ).
cnf(s81,plain,
( ~ spl0_5
| ~ spl0_12 ),
inference(sat_conversion,[],[f804]) ).
cnf(s82,plain,
( ~ spl0_5
| ~ spl0_13 ),
inference(sat_conversion,[],[f810]) ).
cnf(s84,plain,
( ~ spl0_5
| ~ spl0_11 ),
inference(sat_conversion,[],[f819]) ).
cnf(s85,plain,
( ~ spl0_5
| ~ spl0_14 ),
inference(sat_conversion,[],[f825]) ).
cnf(s87,plain,
( ~ spl0_3
| ~ spl0_39 ),
inference(sat_conversion,[],[f835]) ).
cnf(s93,plain,
( ~ spl0_7
| ~ spl0_27 ),
inference(sat_conversion,[],[f868]) ).
cnf(s94,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f873]) ).
cnf(s95,plain,
( ~ spl0_9
| ~ spl0_27 ),
inference(sat_conversion,[],[f878]) ).
cnf(s97,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f901]) ).
cnf(s98,plain,
( ~ spl0_17
| spl0_34 ),
inference(sat_conversion,[],[f903]) ).
cnf(s100,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_17 ),
inference(sat_conversion,[],[f917]) ).
cnf(s102,plain,
( ~ spl0_10
| ~ spl0_27 ),
inference(sat_conversion,[],[f928]) ).
cnf(s105,plain,
( ~ spl0_25
| spl0_50 ),
inference(sat_conversion,[],[f934]) ).
cnf(s107,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_17 ),
inference(sat_conversion,[],[f990]) ).
cnf(s110,plain,
( ~ spl0_17
| ~ spl0_29 ),
inference(sat_conversion,[],[f1005]) ).
cnf(s115,plain,
( ~ spl0_13
| ~ spl0_28 ),
inference(sat_conversion,[],[f1028]) ).
cnf(s116,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_17 ),
inference(sat_conversion,[],[f1031]) ).
cnf(s117,plain,
( spl0_13
| ~ spl0_38 ),
inference(sat_conversion,[],[f1035]) ).
cnf(s118,plain,
( ~ spl0_2
| ~ spl0_34 ),
inference(sat_conversion,[],[f1041]) ).
cnf(s120,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f1046]) ).
cnf(s121,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_17 ),
inference(sat_conversion,[],[f1063]) ).
cnf(s124,plain,
( ~ spl0_10
| ~ spl0_50 ),
inference(sat_conversion,[],[f1095]) ).
cnf(s127,plain,
( ~ spl0_1
| ~ spl0_23 ),
inference(sat_conversion,[],[f1140]) ).
cnf(s129,plain,
( spl0_23
| ~ spl0_40 ),
inference(sat_conversion,[],[f1147]) ).
cnf(s130,plain,
( ~ spl0_1
| ~ spl0_24 ),
inference(sat_conversion,[],[f1151]) ).
cnf(s132,plain,
( ~ spl0_1
| ~ spl0_22 ),
inference(sat_conversion,[],[f1163]) ).
cnf(s133,plain,
( spl0_22
| ~ spl0_35 ),
inference(sat_conversion,[],[f1166]) ).
cnf(s136,plain,
( ~ spl0_1
| ~ spl0_21 ),
inference(sat_conversion,[],[f1179]) ).
cnf(s146,plain,
( ~ spl0_3
| ~ spl0_21 ),
inference(sat_conversion,[],[f1241]) ).
cnf(s157,plain,
( spl0_18
| ~ spl0_39 ),
inference(sat_conversion,[],[f1312]) ).
cnf(s160,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(sat_conversion,[],[f1325]) ).
cnf(s170,plain,
( ~ spl0_6
| spl0_27 ),
inference(sat_conversion,[],[f1361]) ).
cnf(s173,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_18 ),
inference(sat_conversion,[],[f1385]) ).
cnf(s177,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(sat_conversion,[],[f1407]) ).
cnf(s182,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_20 ),
inference(sat_conversion,[],[f1427]) ).
cnf(s185,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_16 ),
inference(sat_conversion,[],[f1443]) ).
cnf(s202,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_19 ),
inference(sat_conversion,[],[f1507]) ).
cnf(s207,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(sat_conversion,[],[f1530]) ).
cnf(s213,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_16 ),
inference(sat_conversion,[],[f1545]) ).
cnf(s221,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f1598]) ).
cnf(s231,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f1636]) ).
cnf(s236,plain,
( ~ spl0_1
| ~ spl0_27 ),
inference(sat_conversion,[],[f1652]) ).
cnf(s239,plain,
( spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f1656]) ).
cnf(s240,plain,
( ~ spl0_8
| ~ spl0_39 ),
inference(sat_conversion,[],[f1668]) ).
cnf(s243,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_16 ),
inference(sat_conversion,[],[f1690]) ).
cnf(s246,plain,
( ~ spl0_2
| ~ spl0_11 ),
inference(sat_conversion,[],[f1706]) ).
cnf(s250,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(sat_conversion,[],[f1727]) ).
cnf(s256,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_16 ),
inference(sat_conversion,[],[f1758]) ).
cnf(s257,plain,
( ~ spl0_7
| spl0_32 ),
inference(sat_conversion,[],[f1759]) ).
cnf(s260,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_16 ),
inference(sat_conversion,[],[f1772]) ).
cnf(s272,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_16 ),
inference(sat_conversion,[],[f1817]) ).
cnf(s276,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(sat_conversion,[],[f1834]) ).
cnf(s281,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_19 ),
inference(sat_conversion,[],[f1847]) ).
cnf(s285,plain,
( ~ spl0_4
| ~ spl0_23 ),
inference(sat_conversion,[],[f1861]) ).
cnf(s290,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_21 ),
inference(sat_conversion,[],[f1878]) ).
cnf(s294,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f1896]) ).
cnf(s296,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_24 ),
inference(sat_conversion,[],[f1902]) ).
cnf(s299,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_16 ),
inference(sat_conversion,[],[f1914]) ).
cnf(s303,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_18 ),
inference(sat_conversion,[],[f1931]) ).
cnf(s320,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_22 ),
inference(sat_conversion,[],[f1973]) ).
cnf(s334,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_18 ),
inference(sat_conversion,[],[f2024]) ).
cnf(s340,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_16 ),
inference(sat_conversion,[],[f2059]) ).
cnf(s348,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_16 ),
inference(sat_conversion,[],[f2089]) ).
cnf(s357,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_16 ),
inference(sat_conversion,[],[f2114]) ).
cnf(s359,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_16 ),
inference(sat_conversion,[],[f2127]) ).
cnf(s366,plain,
( ~ spl0_1
| spl0_26 ),
inference(sat_conversion,[],[f2147]) ).
cnf(s367,plain,
( ~ spl0_1
| ~ spl0_12 ),
inference(sat_conversion,[],[f2166]) ).
cnf(s374,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(sat_conversion,[],[f2201]) ).
cnf(s378,plain,
( ~ spl0_14
| ~ spl0_38 ),
inference(sat_conversion,[],[f2213]) ).
cnf(s379,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_19 ),
inference(sat_conversion,[],[f2217]) ).
cnf(s380,plain,
~ spl0_5,
inference(rat,[],[s80,s3,s79,s81,s82,s84,s85]) ).
cnf(s382,plain,
( ~ spl0_10
| spl0_37
| ~ spl0_4
| spl0_36 ),
inference(rat,[],[s5,s290,s296,s320,s117,s8,s105,s157,s124,s334,s129,s285]) ).
cnf(s383,plain,
( spl0_8
| spl0_7
| spl0_6
| ~ spl0_4
| spl0_36
| spl0_31 ),
inference(rat,[],[s38,s110,s7,s6,s36,s70,s133,s115,s221,s290,s320,s117,s8,s157,s95,s160,s2,s382,s13,s74,s129,s285,s94]) ).
cnf(s384,plain,
( ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s4,s69,s54,s240,s272,s276,s281]) ).
cnf(s385,plain,
( ~ spl0_7
| ~ spl0_4
| spl0_36 ),
inference(rat,[],[s6,s70,s115,s290,s117,s8,s239,s157,s93,s299,s303,s74,s129,s285,s13,s384]) ).
cnf(s386,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s107,s231]) ).
cnf(s387,plain,
( spl0_7
| spl0_8
| spl0_31
| ~ spl0_4
| spl0_36 ),
inference(rat,[],[s386,s383]) ).
cnf(s388,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s387,s385,s384,s1,s12,s97,s380]) ).
cnf(s389,plain,
( ~ spl0_27
| spl0_6
| spl0_7
| spl0_8 ),
inference(rat,[],[s2,s95,s102]) ).
cnf(s390,plain,
( spl0_6
| spl0_7
| ~ spl0_3 ),
inference(rat,[],[s2,s348,s357,s239,s6,s389,s71,s70,s146,s120,s61,s48,s58]) ).
cnf(s391,plain,
( ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s4,s100,s202,s207,s213,s69,s87]) ).
cnf(s392,plain,
~ spl0_3,
inference(rat,[],[s6,s239,s93,s359,s390,s391,s48,s70,s58,s71,s146]) ).
cnf(s393,plain,
~ spl0_36,
inference(rat,[],[s12,s392]) ).
cnf(s394,plain,
( spl0_8
| spl0_6
| spl0_7
| ~ spl0_2 ),
inference(rat,[],[s2,s256,s340,s239,s6,s389,s11,s70,s250,s48,s246]) ).
cnf(s395,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s6,s239,s16,s243,s11,s70,s250,s48,s246]) ).
cnf(s396,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s4,s173,s177,s182,s185,s98,s118]) ).
cnf(s397,plain,
~ spl0_2,
inference(rat,[],[s6,s239,s93,s260,s394,s396,s395,s48,s70,s11,s246,s250]) ).
cnf(s398,plain,
~ spl0_31,
inference(rat,[],[s97,s397]) ).
cnf(s399,plain,
spl0_1,
inference(rat,[],[s388,s392,s397]) ).
cnf(s400,plain,
~ spl0_12,
inference(rat,[],[s367,s399]) ).
cnf(s401,plain,
spl0_26,
inference(rat,[],[s366,s399]) ).
cnf(s403,plain,
~ spl0_27,
inference(rat,[],[s236,s399]) ).
cnf(s404,plain,
~ spl0_21,
inference(rat,[],[s136,s399]) ).
cnf(s405,plain,
~ spl0_22,
inference(rat,[],[s132,s399]) ).
cnf(s406,plain,
~ spl0_24,
inference(rat,[],[s130,s399]) ).
cnf(s407,plain,
~ spl0_23,
inference(rat,[],[s127,s399]) ).
cnf(s408,plain,
~ spl0_33,
inference(rat,[],[s36,s400]) ).
cnf(s409,plain,
~ spl0_4,
inference(rat,[],[s74,s401]) ).
cnf(s410,plain,
~ spl0_6,
inference(rat,[],[s170,s403]) ).
cnf(s412,plain,
~ spl0_35,
inference(rat,[],[s133,s405]) ).
cnf(s413,plain,
spl0_25,
inference(rat,[],[s5,s404,s406,s407,s405]) ).
cnf(s414,plain,
~ spl0_45,
inference(rat,[],[s41,s406]) ).
cnf(s415,plain,
~ spl0_40,
inference(rat,[],[s129,s407]) ).
cnf(s416,plain,
~ spl0_41,
inference(rat,[],[s17,s409]) ).
cnf(s417,plain,
spl0_50,
inference(rat,[],[s105,s413]) ).
cnf(s418,plain,
~ spl0_10,
inference(rat,[],[s124,s417]) ).
cnf(s420,plain,
spl0_7,
inference(rat,[],[s2,s116,s121,s38,s7,s94,s418,s410,s399,s412,s408,s398]) ).
cnf(s421,plain,
~ spl0_19,
inference(rat,[],[s379,s399,s420]) ).
cnf(s422,plain,
~ spl0_18,
inference(rat,[],[s374,s399,s420]) ).
cnf(s424,plain,
~ spl0_9,
inference(rat,[],[s294,s420]) ).
cnf(s425,plain,
spl0_32,
inference(rat,[],[s257,s420]) ).
cnf(s427,plain,
~ spl0_44,
inference(rat,[],[s22,s421]) ).
cnf(s428,plain,
~ spl0_39,
inference(rat,[],[s157,s422]) ).
cnf(s429,plain,
~ spl0_42,
inference(rat,[],[s18,s424]) ).
cnf(s430,plain,
~ spl0_8,
inference(rat,[],[s35,s425]) ).
cnf(s432,plain,
spl0_43,
inference(rat,[],[s9,s416,s427,s414,s429]) ).
cnf(s433,plain,
~ spl0_37,
inference(rat,[],[s13,s430]) ).
cnf(s436,plain,
spl0_14,
inference(rat,[],[s19,s432]) ).
cnf(s437,plain,
spl0_38,
inference(rat,[],[s8,s428,s393,s415,s433]) ).
cnf(s441,plain,
$false,
inference(rat,[],[s378,s437,s436]) ).
fof(f2218,plain,
$false,
inference(avatar_sat_refutation,[],[s441]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG083+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n002.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 19:28:07 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.63/1.16 % (672130)Detected formulas, will run a generic FOF schedule.
% 3.63/1.16 % (672139)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4026442575:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.63/1.16 % (672139)Instruction limit reached!
% 3.63/1.16 % (672139)------------------------------
% 3.63/1.16 % (672139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.16 % (672139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.16 % (672139)CaDiCaL version: 2.1.3
% 3.63/1.16 % (672139)Termination reason: Instruction limit
% 3.63/1.16 % (672139)Termination phase: Saturation
% 3.63/1.16 % (672139)Time elapsed: 0.027 s
% 3.63/1.16 % (672139)Peak memory usage: 87 MB
% 3.63/1.16 % (672139)Instructions burned: 120 (million)
% 3.63/1.16 % (672137)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=354201630:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.63/1.16 % (672135)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=884572015:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.63/1.16 % (672136)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=1885216202:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.63/1.16 % (672138)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1148065362:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.63/1.16 % (672140)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2852467110:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.63/1.16 % (672141)dis-21_1_sil=8000:lcm=predicate:random_seed=2746191591: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)
% 3.63/1.16 % (672141)Refutation not found, incomplete strategy
% 3.63/1.16 % (672141)------------------------------
% 3.63/1.16 % (672141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.16 % (672141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.16 % (672141)CaDiCaL version: 2.1.3
% 3.63/1.16 % (672141)Termination reason: Refutation not found, incomplete strategy
% 3.63/1.16 % (672141)Time elapsed: 0.005 s
% 3.63/1.16 % (672141)Peak memory usage: 88 MB
% 3.63/1.16 % (672141)Instructions burned: 8 (million)
% 3.63/1.16 % (672138)Instruction limit reached!
% 3.63/1.16 % (672138)------------------------------
% 3.63/1.16 % (672138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.16 % (672138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.16 % (672138)CaDiCaL version: 2.1.3
% 3.63/1.16 % (672138)Termination reason: Instruction limit
% 3.63/1.16 % (672138)Termination phase: Saturation
% 3.63/1.16 % (672138)Time elapsed: 0.061 s
% 3.63/1.16 % (672138)Peak memory usage: 89 MB
% 3.63/1.16 % (672138)Instructions burned: 110 (million)
% 3.63/1.16 % (672140)Instruction limit reached!
% 3.63/1.16 % (672140)------------------------------
% 3.63/1.16 % (672140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.16 % (672140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.16 % (672140)CaDiCaL version: 2.1.3
% 3.63/1.16 % (672140)Termination reason: Instruction limit
% 3.63/1.16 % (672140)Termination phase: Saturation
% 3.63/1.16 % (672140)Time elapsed: 0.077 s
% 3.63/1.16 % (672140)Peak memory usage: 89 MB
% 3.63/1.16 % (672140)Instructions burned: 140 (million)
% 3.63/1.16 % (672147)lrs+10_1_sil=8000:sp=occurrence:random_seed=4169759802:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.63/1.16 % (672147)First to succeed.
% 3.63/1.16 % (672147)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-672130"
% 3.63/1.16 % (672150)lrs+10_1_sil=32000:urr=on:br=off:random_seed=440422489:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.63/1.16 % (672150)Also succeeded, but the first one will report.
% 3.63/1.16 % (672151)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2859132219:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.63/1.16 % (672141)------------------------------
% 3.63/1.16 % (672141)------------------------------
% 3.63/1.16 % (672151)Also succeeded, but the first one will report.
% 3.63/1.16 % (672147)Refutation found. Thanks to Tanya!
% 3.63/1.16 % SZS status Theorem for theBenchmark
% 3.63/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 3.96/1.28 % (672147)------------------------------
% 3.96/1.28 % (672147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.28 % (672147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.28 % (672147)CaDiCaL version: 2.1.3
% 3.96/1.28 % (672147)Termination reason: Refutation
% 3.96/1.28 % (672147)Time elapsed: 0.022 s
% 3.96/1.28 % (672147)Peak memory usage: 90 MB
% 3.96/1.28 % (672147)Instructions burned: 72 (million)
% 3.96/1.28 % (672147)------------------------------
% 3.96/1.28 % (672147)------------------------------
% 3.96/1.28 % (672130)Success in time 0.485 s
% 3.96/1.28 % Vampire exiting
%------------------------------------------------------------------------------