%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG087+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 09:09:33 AM UTC 2026
% Result : Theorem 3.81s 1.17s
% Output : Refutation 4.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 47
% Syntax : Number of formulae : 551 ( 87 unt; 43 def)
% Number of atoms : 1814 ( 815 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 1979 ( 716 ~; 887 |; 331 &)
% ( 43 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 45 ( 43 usr; 44 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(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) = e10
& op1(e11,e12) = e13
& op1(e11,e13) = e14
& op1(e11,e14) = e12
& op1(e12,e10) = e12
& op1(e12,e11) = e14
& op1(e12,e12) = e10
& op1(e12,e13) = e11
& op1(e12,e14) = e13
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e14
& op1(e13,e13) = e10
& op1(e13,e14) = e11
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e12
& op1(e14,e14) = e10 ),
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,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
e12 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f12,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f14,plain,
e11 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f15,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f17,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f55,plain,
e10 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f56,plain,
e12 = op1(e14,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f57,plain,
e11 = op1(e14,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f58,plain,
e13 = op1(e14,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f59,plain,
e14 = op1(e14,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f60,plain,
e11 = op1(e13,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f61,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f62,plain,
e14 = op1(e13,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f64,plain,
e13 = op1(e13,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f66,plain,
e11 = op1(e12,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f67,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f68,plain,
e14 = op1(e12,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f69,plain,
e12 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f70,plain,
e12 = op1(e11,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f71,plain,
e14 = op1(e11,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f72,plain,
e13 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f73,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f74,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f78,plain,
e11 = op1(e10,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f79,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f80,plain,
e22 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
e20 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
( e10 = j(e24)
| e11 = j(e24)
| e12 = j(e24)
| e13 = j(e24)
| e14 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f110,plain,
( e20 = h(e14)
| e21 = h(e14)
| e22 = h(e14)
| e23 = h(e14)
| e24 = h(e14) ),
inference(cnf_transformation,[],[f9]) ).
fof(f111,plain,
( e20 = h(e13)
| e21 = h(e13)
| e22 = h(e13)
| e23 = h(e13)
| e24 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f112,plain,
( e20 = h(e12)
| e21 = h(e12)
| e22 = h(e12)
| e23 = h(e12)
| e24 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f113,plain,
( e20 = h(e11)
| e21 = h(e11)
| e22 = h(e11)
| e23 = h(e11)
| e24 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f115,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f116,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f117,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f118,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f119,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f120,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f122,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f125,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f127,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f154,plain,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f156,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f159,plain,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f164,plain,
h(op1(e12,e10)) = op2(h(e12),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f168,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f174,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[],[f9]) ).
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(f185,plain,
( e12 != j(e24)
| spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
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,[],[f105,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(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(f210,plain,
( e11 != j(e23)
| spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
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(f214,plain,
( e10 != j(e23)
| spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f215,plain,
( e10 = j(e23)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
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(f226,definition,
( spl0_13
<=> e12 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f228,plain,
( e12 = j(e22)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(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(f239,definition,
( spl0_16
<=> e14 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
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(f252,plain,
( e11 != j(e21)
| spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( e11 = j(e21)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f260,definition,
( spl0_21
<=> e14 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f262,plain,
( e14 = j(e20)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl0_22
<=> e13 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f265,plain,
( e13 != j(e20)
| spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( e13 = j(e20)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_23
<=> e12 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f270,plain,
( e12 = j(e20)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_24
<=> e11 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f274,plain,
( e11 = j(e20)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f281,definition,
( spl0_26
<=> e24 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f282,plain,
( e24 != h(e14)
| spl0_26 ),
inference(avatar_component_clause,[],[f281]) ).
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,[],[f110,f297,f293,f289,f285,f281]) ).
fof(f302,definition,
( spl0_31
<=> e24 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f303,plain,
( e24 != h(e13)
| spl0_31 ),
inference(avatar_component_clause,[],[f302]) ).
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(f319,plain,
( e20 != h(e13)
| spl0_35 ),
inference(avatar_component_clause,[],[f318]) ).
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,[],[f111,f318,f314,f310,f306,f302]) ).
fof(f323,definition,
( spl0_36
<=> e24 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f324,plain,
( e24 != h(e12)
| spl0_36 ),
inference(avatar_component_clause,[],[f323]) ).
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,[],[f112,f339,f335,f331,f327,f323]) ).
fof(f344,definition,
( spl0_41
<=> e24 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f345,plain,
( e24 != h(e11)
| spl0_41 ),
inference(avatar_component_clause,[],[f344]) ).
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,[],[f113,f360,f356,f352,f348,f344]) ).
fof(f365,definition,
( spl0_46
<=> e24 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f367,plain,
( e24 = h(e10)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f365]) ).
fof(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(f385,plain,
( e14 = j(e24)
| ~ spl0_26 ),
inference(forward_demodulation,[],[f115,f283]) ).
fof(f388,plain,
( e13 = j(e24)
| ~ spl0_31 ),
inference(forward_demodulation,[],[f116,f304]) ).
fof(f389,plain,
( e12 = j(e24)
| ~ spl0_36 ),
inference(forward_demodulation,[],[f117,f325]) ).
fof(f390,plain,
( spl0_3
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f389,f323,f184]) ).
fof(f391,plain,
( e12 = e13
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f186,f182]) ).
fof(f393,plain,
( e11 = j(e24)
| ~ spl0_41 ),
inference(forward_demodulation,[],[f118,f346]) ).
fof(f394,plain,
( spl0_4
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f393,f344,f188]) ).
fof(f397,plain,
( e11 = j(e23)
| ~ spl0_42 ),
inference(forward_demodulation,[],[f118,f350]) ).
fof(f398,plain,
( spl0_9
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f397,f348,f209]) ).
fof(f399,plain,
( e11 = e14
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f211,f199]) ).
fof(f416,plain,
( e10 = e14
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f215,f199]) ).
fof(f421,plain,
( e24 = h(e13)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f120,f182]) ).
fof(f430,plain,
( e11 != e14
| ~ spl0_6
| spl0_9 ),
inference(forward_demodulation,[],[f210,f199]) ).
fof(f462,plain,
( e14 = j(e23)
| ~ spl0_27 ),
inference(forward_demodulation,[],[f115,f287]) ).
fof(f463,plain,
( e11 = j(e21)
| ~ spl0_44 ),
inference(forward_demodulation,[],[f118,f358]) ).
fof(f464,plain,
( spl0_19
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f463,f356,f251]) ).
fof(f477,plain,
( e10 = j(e22)
| ~ spl0_48 ),
inference(forward_demodulation,[],[f119,f375]) ).
fof(f478,plain,
( spl0_15
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f477,f373,f234]) ).
fof(f485,plain,
( e22 != e24
| ~ spl0_46
| spl0_48 ),
inference(forward_demodulation,[],[f374,f367]) ).
fof(f658,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f12,f391]) ).
fof(f659,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f658]) ).
fof(f662,plain,
( e24 = h(e12)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f120,f186]) ).
fof(f665,plain,
( op1(e12,e12) = j(op2(e24,e24))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f125,f186]) ).
fof(f710,plain,
( e13 = j(e23)
| ~ spl0_32 ),
inference(forward_demodulation,[],[f116,f308]) ).
fof(f711,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f710,f306,f201]) ).
fof(f713,plain,
( e12 = j(e22)
| ~ spl0_38 ),
inference(forward_demodulation,[],[f117,f333]) ).
fof(f735,plain,
( e13 = e14
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f203,f199]) ).
fof(f780,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f10,f735]) ).
fof(f781,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f780]) ).
fof(f785,plain,
( e13 = j(e20)
| ~ spl0_35 ),
inference(forward_demodulation,[],[f116,f320]) ).
fof(f815,plain,
( e13 = j(e21)
| ~ spl0_34 ),
inference(forward_demodulation,[],[f116,f316]) ).
fof(f816,plain,
( e11 = e13
| ~ spl0_19
| ~ spl0_34 ),
inference(forward_demodulation,[],[f815,f253]) ).
fof(f839,plain,
( $false
| ~ spl0_19
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f14,f816]) ).
fof(f840,plain,
( ~ spl0_19
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f839]) ).
fof(f851,plain,
( spl0_17
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f815,f314,f243]) ).
fof(f853,plain,
( e13 = e14
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f245,f241]) ).
fof(f864,plain,
( e20 != e24
| spl0_41
| ~ spl0_45 ),
inference(superposition,[],[f345,f362]) ).
fof(f865,plain,
( e11 = j(e20)
| ~ spl0_45 ),
inference(forward_demodulation,[],[f118,f362]) ).
fof(f936,plain,
( $false
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f13,f399]) ).
fof(f937,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f936]) ).
fof(f986,plain,
( spl0_36
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f662,f184,f323]) ).
fof(f995,plain,
( e11 = e12
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f190,f186]) ).
fof(f999,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f995,f15]) ).
fof(f1000,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f999]) ).
fof(f1010,plain,
( e11 = j(e22)
| ~ spl0_43 ),
inference(forward_demodulation,[],[f118,f354]) ).
fof(f1179,plain,
( h(op1(e12,e10)) = op2(e24,h(e10))
| ~ spl0_36 ),
inference(forward_demodulation,[],[f164,f325]) ).
fof(f1182,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[],[f174,f79]) ).
fof(f1188,plain,
( h(e12) = op2(e24,h(e10))
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1179,f69]) ).
fof(f1196,plain,
( e24 = op2(e24,h(e10))
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1188,f325]) ).
fof(f1288,plain,
( e12 = op1(e11,e10)
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f70,f416]) ).
fof(f1308,plain,
( e11 = e12
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1288,f74]) ).
fof(f1317,plain,
( $false
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1308,f15]) ).
fof(f1318,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1317]) ).
fof(f1389,plain,
h(e14) = op2(h(e14),h(e10)),
inference(forward_demodulation,[],[f154,f59]) ).
fof(f1414,plain,
( e14 = j(e22)
| ~ spl0_28 ),
inference(forward_demodulation,[],[f115,f291]) ).
fof(f1417,plain,
( e12 = e14
| ~ spl0_3
| ~ spl0_26 ),
inference(forward_demodulation,[],[f385,f186]) ).
fof(f1418,plain,
( $false
| ~ spl0_3
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1417,f11]) ).
fof(f1419,plain,
( ~ spl0_3
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1418]) ).
fof(f1423,plain,
( e14 = j(e21)
| ~ spl0_29 ),
inference(forward_demodulation,[],[f115,f295]) ).
fof(f1426,plain,
( e11 = e14
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f241,f253]) ).
fof(f1432,plain,
( e13 = op1(e11,e11)
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f58,f1426]) ).
fof(f1445,plain,
( e10 = e13
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1432,f73]) ).
fof(f1448,plain,
( $false
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1445,f17]) ).
fof(f1449,plain,
( ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1448]) ).
fof(f1453,plain,
( e20 != e24
| spl0_26
| ~ spl0_30 ),
inference(superposition,[],[f282,f299]) ).
fof(f1455,plain,
( e14 = j(e20)
| ~ spl0_30 ),
inference(forward_demodulation,[],[f115,f299]) ).
fof(f1459,plain,
( e12 = e14
| ~ spl0_23
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1455,f270]) ).
fof(f1462,plain,
( $false
| ~ spl0_23
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1459,f11]) ).
fof(f1463,plain,
( ~ spl0_23
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1462]) ).
fof(f1465,plain,
( spl0_21
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1455,f297,f260]) ).
fof(f1543,plain,
( op1(e12,e12) = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f665,f80]) ).
fof(f1552,plain,
( spl0_22
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f785,f318,f264]) ).
fof(f1555,plain,
h(e10) = op2(h(e13),h(e13)),
inference(forward_demodulation,[],[f156,f61]) ).
fof(f1571,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1543,f67]) ).
fof(f1581,plain,
( spl0_15
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1571,f184,f234]) ).
fof(f1589,plain,
( e13 = e14
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f266,f262]) ).
fof(f1597,plain,
( e11 = op1(e13,e13)
| ~ spl0_21
| ~ spl0_22 ),
inference(superposition,[],[f60,f1589]) ).
fof(f1612,plain,
( e10 = e11
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1597,f61]) ).
fof(f1617,plain,
( $false
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1612,f19]) ).
fof(f1618,plain,
( ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1617]) ).
fof(f1634,plain,
( spl0_16
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1423,f293,f239]) ).
fof(f1635,plain,
( spl0_24
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f865,f360,f272]) ).
fof(f1639,plain,
h(e10) = op2(h(e11),h(e11)),
inference(forward_demodulation,[],[f168,f73]) ).
fof(f1661,plain,
( e13 != e14
| ~ spl0_16
| spl0_17 ),
inference(superposition,[],[f244,f241]) ).
fof(f1662,plain,
( e11 != e14
| ~ spl0_16
| spl0_19 ),
inference(forward_demodulation,[],[f252,f241]) ).
fof(f1666,plain,
( e11 = e13
| ~ spl0_22
| ~ spl0_24 ),
inference(superposition,[],[f274,f266]) ).
fof(f1678,plain,
( e14 = op1(e11,e12)
| ~ spl0_22
| ~ spl0_24 ),
inference(superposition,[],[f62,f1666]) ).
fof(f1682,plain,
( e14 = op1(e11,e11)
| ~ spl0_22
| ~ spl0_24 ),
inference(superposition,[],[f71,f1666]) ).
fof(f1684,plain,
( e24 != h(e11)
| ~ spl0_22
| ~ spl0_24
| spl0_31 ),
inference(superposition,[],[f303,f1666]) ).
fof(f1686,plain,
( e10 = e14
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1682,f73]) ).
fof(f1688,plain,
( e13 = e14
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1678,f72]) ).
fof(f1693,plain,
( $false
| ~ spl0_16
| spl0_17
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1688,f1661]) ).
fof(f1694,plain,
( ~ spl0_16
| spl0_17
| ~ spl0_22
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1693]) ).
fof(f1714,plain,
( e11 = op1(e13,e13)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f60,f853]) ).
fof(f1728,plain,
( e10 = e11
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1714,f61]) ).
fof(f1733,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1728,f19]) ).
fof(f1734,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1733]) ).
fof(f1764,plain,
( e11 = e14
| ~ spl0_21
| ~ spl0_24 ),
inference(superposition,[],[f274,f262]) ).
fof(f1770,plain,
( e13 = op1(e11,e11)
| ~ spl0_21
| ~ spl0_24 ),
inference(superposition,[],[f58,f1764]) ).
fof(f1781,plain,
( e10 = e13
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1770,f73]) ).
fof(f1784,plain,
( $false
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1781,f17]) ).
fof(f1785,plain,
( ~ spl0_21
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1784]) ).
fof(f1786,plain,
( e10 = e14
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f220,f236]) ).
fof(f1791,plain,
( e11 != e13
| spl0_22
| ~ spl0_24 ),
inference(forward_demodulation,[],[f265,f274]) ).
fof(f1797,plain,
( e10 != e14
| spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f219,f236]) ).
fof(f1803,plain,
( e10 = e11
| ~ spl0_15
| ~ spl0_43 ),
inference(forward_demodulation,[],[f1010,f236]) ).
fof(f1806,plain,
( $false
| ~ spl0_15
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1803,f19]) ).
fof(f1807,plain,
( ~ spl0_15
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f1806]) ).
fof(f1812,plain,
h(e13) = op2(h(e13),h(e10)),
inference(forward_demodulation,[],[f159,f64]) ).
fof(f1821,plain,
( e12 = e13
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f207,f203]) ).
fof(f1859,plain,
( e22 = h(e10)
| ~ spl0_15 ),
inference(forward_demodulation,[],[f122,f236]) ).
fof(f1862,plain,
( e24 = op2(e24,e22)
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1196,f375]) ).
fof(f1988,plain,
( e20 = e24
| ~ spl0_36
| ~ spl0_48 ),
inference(superposition,[],[f82,f1862]) ).
fof(f1992,plain,
( $false
| spl0_26
| ~ spl0_30
| ~ spl0_36
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1988,f1453]) ).
fof(f1993,plain,
( spl0_26
| ~ spl0_30
| ~ spl0_36
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1992]) ).
fof(f2016,plain,
( spl0_6
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f462,f285,f197]) ).
fof(f2020,plain,
( e10 != e14
| ~ spl0_6
| spl0_10 ),
inference(forward_demodulation,[],[f214,f199]) ).
fof(f2022,plain,
( e12 = e13
| ~ spl0_22
| ~ spl0_23 ),
inference(superposition,[],[f270,f266]) ).
fof(f2039,plain,
( e12 = j(e20)
| ~ spl0_3
| ~ spl0_36
| ~ spl0_48 ),
inference(superposition,[],[f186,f1988]) ).
fof(f2047,plain,
( spl0_23
| ~ spl0_3
| ~ spl0_36
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f2039,f373,f323,f184,f268]) ).
fof(f2066,plain,
( e11 = e13
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f211,f203]) ).
fof(f2090,plain,
( e14 = op1(e11,e11)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f71,f2066]) ).
fof(f2094,plain,
( e10 = e14
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2090,f73]) ).
fof(f2097,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| spl0_11
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2094,f1797]) ).
fof(f2098,plain,
( ~ spl0_7
| ~ spl0_9
| spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f2097]) ).
fof(f2104,plain,
( $false
| ~ spl0_36
| spl0_41
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f864,f1988]) ).
fof(f2105,plain,
( ~ spl0_36
| spl0_41
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2104]) ).
fof(f2115,plain,
j(e22) = op1(j(e24),j(e24)),
inference(forward_demodulation,[],[f125,f80]) ).
fof(f2118,plain,
( j(op2(e24,e22)) = op1(j(e24),e10)
| ~ spl0_15 ),
inference(forward_demodulation,[],[f127,f236]) ).
fof(f2124,plain,
( j(e20) = op1(j(e24),e10)
| ~ spl0_15 ),
inference(forward_demodulation,[],[f2118,f82]) ).
fof(f2148,plain,
( op1(e10,e10) = j(e20)
| ~ spl0_5
| ~ spl0_15 ),
inference(forward_demodulation,[],[f2124,f194]) ).
fof(f2151,plain,
( e11 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_24 ),
inference(forward_demodulation,[],[f2148,f274]) ).
fof(f2154,plain,
( e10 = e11
| ~ spl0_5
| ~ spl0_15
| ~ spl0_24 ),
inference(forward_demodulation,[],[f2151,f79]) ).
fof(f2155,plain,
( $false
| ~ spl0_5
| ~ spl0_15
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f2154,f19]) ).
fof(f2156,plain,
( ~ spl0_5
| ~ spl0_15
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f2155]) ).
fof(f2179,plain,
( e12 = j(e23)
| ~ spl0_37 ),
inference(forward_demodulation,[],[f117,f329]) ).
fof(f2180,plain,
( spl0_8
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f2179,f327,f205]) ).
fof(f2181,plain,
( e12 = e14
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f207,f199]) ).
fof(f2185,plain,
( $false
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f2181,f11]) ).
fof(f2186,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f2185]) ).
fof(f2191,plain,
( e12 = j(e21)
| ~ spl0_39 ),
inference(forward_demodulation,[],[f117,f337]) ).
fof(f2192,plain,
( spl0_18
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f2191,f335,f247]) ).
fof(f2193,plain,
( e12 = e13
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f249,f245]) ).
fof(f2197,plain,
( e12 = op1(e14,e12)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f56,f2193]) ).
fof(f2203,plain,
( e11 = op1(e12,e12)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f66,f2193]) ).
fof(f2212,plain,
( e10 = e11
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2203,f67]) ).
fof(f2214,plain,
( e11 = e12
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2197,f57]) ).
fof(f2217,plain,
( $false
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2212,f19]) ).
fof(f2218,plain,
( ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f2217]) ).
fof(f2221,plain,
( $false
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2214,f15]) ).
fof(f2222,plain,
( ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f2221]) ).
fof(f2227,plain,
( e20 != e24
| spl0_36
| ~ spl0_40 ),
inference(superposition,[],[f324,f341]) ).
fof(f2228,plain,
( e12 = j(e20)
| ~ spl0_40 ),
inference(forward_demodulation,[],[f117,f341]) ).
fof(f2229,plain,
( e11 = e12
| ~ spl0_24
| ~ spl0_40 ),
inference(forward_demodulation,[],[f2228,f274]) ).
fof(f2230,plain,
( $false
| ~ spl0_24
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f2229,f15]) ).
fof(f2231,plain,
( ~ spl0_24
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f2230]) ).
fof(f2234,plain,
( e10 = e12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f228,f236]) ).
fof(f2242,plain,
( e14 = op1(e10,e11)
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f68,f2234]) ).
fof(f2246,plain,
( e24 != h(e10)
| ~ spl0_13
| ~ spl0_15
| spl0_36 ),
inference(superposition,[],[f324,f2234]) ).
fof(f2251,plain,
( e11 = e14
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f2242,f78]) ).
fof(f2255,plain,
( $false
| ~ spl0_6
| spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2251,f430]) ).
fof(f2256,plain,
( ~ spl0_6
| spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f2255]) ).
fof(f2278,plain,
( op1(e14,e14) = j(e22)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2115,f178]) ).
fof(f2279,plain,
( spl0_13
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f713,f331,f226]) ).
fof(f2281,plain,
( e10 = j(e22)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2278,f55]) ).
fof(f2283,plain,
( spl0_15
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2281,f176,f234]) ).
fof(f2284,plain,
j(e20) = op1(j(e24),j(e22)),
inference(forward_demodulation,[],[f127,f82]) ).
fof(f2313,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f120,f194]) ).
fof(f2335,plain,
( spl0_23
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f2228,f339,f268]) ).
fof(f2368,plain,
( spl0_46
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f2313,f192,f365]) ).
fof(f2413,plain,
( j(e20) = op1(e11,j(e22))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f2284,f190]) ).
fof(f2461,plain,
( e24 = h(e11)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f120,f190]) ).
fof(f2500,plain,
( e13 = j(e22)
| ~ spl0_33 ),
inference(forward_demodulation,[],[f116,f312]) ).
fof(f2576,plain,
( op2(e24,e24) = h(e10)
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1639,f346]) ).
fof(f2627,plain,
( e12 = op1(e14,e12)
| ~ spl0_22
| ~ spl0_23 ),
inference(superposition,[],[f56,f2022]) ).
fof(f2633,plain,
( e11 = op1(e12,e12)
| ~ spl0_22
| ~ spl0_23 ),
inference(superposition,[],[f66,f2022]) ).
fof(f2646,plain,
( e10 = e11
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_demodulation,[],[f2633,f67]) ).
fof(f2648,plain,
( e11 = e12
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_demodulation,[],[f2627,f57]) ).
fof(f2652,plain,
( $false
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f2646,f19]) ).
fof(f2653,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f2652]) ).
fof(f2656,plain,
( $false
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f2648,f15]) ).
fof(f2657,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f2656]) ).
fof(f2659,plain,
( e22 = h(e10)
| ~ spl0_41 ),
inference(forward_demodulation,[],[f2576,f80]) ).
fof(f2660,plain,
( spl0_48
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1859,f234,f373]) ).
fof(f2661,plain,
( spl0_48
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f2659,f344,f373]) ).
fof(f2693,plain,
( $false
| ~ spl0_22
| ~ spl0_24
| spl0_31
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1684,f346]) ).
fof(f2694,plain,
( ~ spl0_22
| ~ spl0_24
| spl0_31
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f2693]) ).
fof(f2695,plain,
( $false
| ~ spl0_6
| spl0_10
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1686,f2020]) ).
fof(f2696,plain,
( ~ spl0_6
| spl0_10
| ~ spl0_22
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f2695]) ).
fof(f2703,plain,
( e10 = e13
| ~ spl0_15
| ~ spl0_33 ),
inference(forward_demodulation,[],[f2500,f236]) ).
fof(f2706,plain,
( op1(e11,e10) = j(e20)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f2413,f236]) ).
fof(f2711,plain,
( $false
| ~ spl0_15
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f2703,f17]) ).
fof(f2712,plain,
( ~ spl0_15
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f2711]) ).
fof(f2713,plain,
( e11 = j(e20)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f2706,f74]) ).
fof(f2714,plain,
( spl0_24
| ~ spl0_4
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f2713,f234,f188,f272]) ).
fof(f2752,plain,
( e24 = op2(e24,e24)
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1182,f367]) ).
fof(f2753,plain,
( e22 = e24
| ~ spl0_46 ),
inference(forward_demodulation,[],[f2752,f80]) ).
fof(f2754,plain,
( $false
| ~ spl0_46
| spl0_48 ),
inference(forward_subsumption_resolution,[],[f2753,f485]) ).
fof(f2755,plain,
( ~ spl0_46
| spl0_48 ),
inference(avatar_contradiction_clause,[],[f2754]) ).
fof(f2761,plain,
( $false
| ~ spl0_4
| spl0_41 ),
inference(forward_subsumption_resolution,[],[f2461,f345]) ).
fof(f2762,plain,
( ~ spl0_4
| spl0_41 ),
inference(avatar_contradiction_clause,[],[f2761]) ).
fof(f2763,plain,
( ~ spl0_46
| ~ spl0_13
| ~ spl0_15
| spl0_36 ),
inference(avatar_split_clause,[],[f2246,f323,f234,f226,f365]) ).
fof(f2769,plain,
( e14 = op1(e13,e10)
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f62,f2234]) ).
fof(f2773,plain,
( e14 = op1(e10,e11)
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f68,f2234]) ).
fof(f2775,plain,
( e13 = op1(e11,e10)
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f72,f2234]) ).
fof(f2779,plain,
( e11 = e13
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f2775,f74]) ).
fof(f2780,plain,
( e11 = e14
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f2773,f78]) ).
fof(f2781,plain,
( e13 = e14
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f2769,f64]) ).
fof(f2782,plain,
( $false
| ~ spl0_13
| ~ spl0_15
| spl0_22
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f2779,f1791]) ).
fof(f2783,plain,
( ~ spl0_13
| ~ spl0_15
| spl0_22
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f2782]) ).
fof(f2784,plain,
( $false
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f2780,f1662]) ).
fof(f2785,plain,
( ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f2784]) ).
fof(f2787,plain,
( e13 != e14
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f181,f178]) ).
fof(f2800,plain,
( e12 = e14
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f249,f241]) ).
fof(f2806,plain,
( $false
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2800,f11]) ).
fof(f2807,plain,
( ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f2806]) ).
fof(f2814,plain,
( e12 = op1(e14,e12)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f56,f1821]) ).
fof(f2830,plain,
( e11 = e12
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2814,f57]) ).
fof(f2837,plain,
( $false
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f2830,f15]) ).
fof(f2838,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f2837]) ).
fof(f2864,plain,
( e24 = h(e14)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f120,f178]) ).
fof(f2875,plain,
( h(e14) = op2(h(e14),e22)
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1389,f375]) ).
fof(f2876,plain,
( e24 = op2(e24,e22)
| ~ spl0_26
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2875,f283]) ).
fof(f2877,plain,
( e20 = e24
| ~ spl0_26
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2876,f82]) ).
fof(f2882,plain,
( spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2864,f176,f281]) ).
fof(f2900,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2781,f2787]) ).
fof(f2901,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f2900]) ).
fof(f2932,plain,
( e12 = op1(e11,e10)
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f70,f1786]) ).
fof(f2936,plain,
( e11 = e12
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f2932,f74]) ).
fof(f2939,plain,
( $false
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2936,f15]) ).
fof(f2940,plain,
( ~ spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f2939]) ).
fof(f2955,plain,
( e14 = j(e20)
| ~ spl0_1
| ~ spl0_26
| ~ spl0_48 ),
inference(superposition,[],[f178,f2877]) ).
fof(f2956,plain,
( e12 != j(e20)
| spl0_3
| ~ spl0_26
| ~ spl0_48 ),
inference(superposition,[],[f185,f2877]) ).
fof(f2959,plain,
( ~ spl0_23
| spl0_3
| ~ spl0_26
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f2956,f373,f281,f184,f268]) ).
fof(f2960,plain,
( spl0_21
| ~ spl0_1
| ~ spl0_26
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f2955,f373,f281,f176,f260]) ).
fof(f2964,plain,
( e11 = e12
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f211,f207]) ).
fof(f2965,plain,
( e11 = e12
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f207,f211]) ).
fof(f2968,plain,
( $false
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2965,f15]) ).
fof(f2969,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2968]) ).
fof(f2970,plain,
( $false
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2964,f15]) ).
fof(f2971,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2970]) ).
fof(f2972,plain,
( spl0_31
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f421,f180,f302]) ).
fof(f2974,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f388,f302,f180]) ).
fof(f2995,plain,
( e20 != e24
| ~ spl0_31
| spl0_35 ),
inference(forward_demodulation,[],[f319,f304]) ).
fof(f3037,plain,
( h(e13) = op2(h(e13),e22)
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1812,f375]) ).
fof(f3038,plain,
( e24 = op2(e24,e22)
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3037,f304]) ).
fof(f3039,plain,
( e20 = e24
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3038,f82]) ).
fof(f3040,plain,
( $false
| ~ spl0_31
| spl0_36
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3039,f2227]) ).
fof(f3041,plain,
( ~ spl0_31
| spl0_36
| ~ spl0_40
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3040]) ).
fof(f3046,plain,
( $false
| ~ spl0_31
| spl0_35
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3039,f2995]) ).
fof(f3047,plain,
( ~ spl0_31
| spl0_35
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3046]) ).
fof(f3048,plain,
( spl0_1
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f385,f281,f176]) ).
fof(f3074,plain,
( e11 = e12
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f253,f249]) ).
fof(f3075,plain,
( e11 = e12
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f249,f253]) ).
fof(f3078,plain,
( $false
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f3075,f15]) ).
fof(f3079,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f3078]) ).
fof(f3080,plain,
( $false
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f3074,f15]) ).
fof(f3081,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f3080]) ).
fof(f3083,plain,
( spl0_11
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1414,f289,f218]) ).
fof(f3150,plain,
( op2(e24,e24) = h(e10)
| ~ spl0_31 ),
inference(forward_demodulation,[],[f1555,f304]) ).
fof(f3170,plain,
( e22 = h(e10)
| ~ spl0_31 ),
inference(forward_demodulation,[],[f3150,f80]) ).
fof(f3171,plain,
( $false
| ~ spl0_31
| spl0_48 ),
inference(forward_subsumption_resolution,[],[f3170,f374]) ).
fof(f3172,plain,
( ~ spl0_31
| spl0_48 ),
inference(avatar_contradiction_clause,[],[f3171]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f195]) ).
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_3
| ~ spl0_36 ),
inference(sat_conversion,[],[f390]) ).
cnf(s12,plain,
( spl0_4
| ~ spl0_41 ),
inference(sat_conversion,[],[f394]) ).
cnf(s13,plain,
( spl0_9
| ~ spl0_42 ),
inference(sat_conversion,[],[f398]) ).
cnf(s24,plain,
( spl0_19
| ~ spl0_44 ),
inference(sat_conversion,[],[f464]) ).
cnf(s29,plain,
( spl0_15
| ~ spl0_48 ),
inference(sat_conversion,[],[f478]) ).
cnf(s36,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f659]) ).
cnf(s40,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f711]) ).
cnf(s47,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f781]) ).
cnf(s49,plain,
( ~ spl0_19
| ~ spl0_34 ),
inference(sat_conversion,[],[f840]) ).
cnf(s50,plain,
( spl0_17
| ~ spl0_34 ),
inference(sat_conversion,[],[f851]) ).
cnf(s58,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f937]) ).
cnf(s69,plain,
( ~ spl0_3
| spl0_36 ),
inference(sat_conversion,[],[f986]) ).
cnf(s72,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f1000]) ).
cnf(s96,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(sat_conversion,[],[f1318]) ).
cnf(s107,plain,
( ~ spl0_3
| ~ spl0_26 ),
inference(sat_conversion,[],[f1419]) ).
cnf(s110,plain,
( ~ spl0_16
| ~ spl0_19 ),
inference(sat_conversion,[],[f1449]) ).
cnf(s113,plain,
( ~ spl0_23
| ~ spl0_30 ),
inference(sat_conversion,[],[f1463]) ).
cnf(s114,plain,
( spl0_21
| ~ spl0_30 ),
inference(sat_conversion,[],[f1465]) ).
cnf(s118,plain,
( spl0_22
| ~ spl0_35 ),
inference(sat_conversion,[],[f1552]) ).
cnf(s119,plain,
( ~ spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f1581]) ).
cnf(s124,plain,
( ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f1618]) ).
cnf(s130,plain,
( spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f1634]) ).
cnf(s132,plain,
( spl0_24
| ~ spl0_45 ),
inference(sat_conversion,[],[f1635]) ).
cnf(s135,plain,
( ~ spl0_16
| spl0_17
| ~ spl0_22
| ~ spl0_24 ),
inference(sat_conversion,[],[f1694]) ).
cnf(s147,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f1734]) ).
cnf(s156,plain,
( ~ spl0_21
| ~ spl0_24 ),
inference(sat_conversion,[],[f1785]) ).
cnf(s167,plain,
( ~ spl0_15
| ~ spl0_43 ),
inference(sat_conversion,[],[f1807]) ).
cnf(s181,plain,
( spl0_26
| ~ spl0_30
| ~ spl0_36
| ~ spl0_48 ),
inference(sat_conversion,[],[f1993]) ).
cnf(s185,plain,
( spl0_6
| ~ spl0_27 ),
inference(sat_conversion,[],[f2016]) ).
cnf(s188,plain,
( ~ spl0_3
| spl0_23
| ~ spl0_36
| ~ spl0_48 ),
inference(sat_conversion,[],[f2047]) ).
cnf(s196,plain,
( ~ spl0_7
| ~ spl0_9
| spl0_11
| ~ spl0_15 ),
inference(sat_conversion,[],[f2098]) ).
cnf(s199,plain,
( ~ spl0_36
| spl0_41
| ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f2105]) ).
cnf(s207,plain,
( ~ spl0_5
| ~ spl0_15
| ~ spl0_24 ),
inference(sat_conversion,[],[f2156]) ).
cnf(s208,plain,
( spl0_8
| ~ spl0_37 ),
inference(sat_conversion,[],[f2180]) ).
cnf(s210,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f2186]) ).
cnf(s211,plain,
( spl0_18
| ~ spl0_39 ),
inference(sat_conversion,[],[f2192]) ).
cnf(s213,plain,
( ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f2218]) ).
cnf(s215,plain,
( ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f2222]) ).
cnf(s216,plain,
( ~ spl0_24
| ~ spl0_40 ),
inference(sat_conversion,[],[f2231]) ).
cnf(s220,plain,
( ~ spl0_6
| spl0_9
| ~ spl0_13
| ~ spl0_15 ),
inference(sat_conversion,[],[f2256]) ).
cnf(s223,plain,
( spl0_13
| ~ spl0_38 ),
inference(sat_conversion,[],[f2279]) ).
cnf(s224,plain,
( ~ spl0_1
| spl0_15 ),
inference(sat_conversion,[],[f2283]) ).
cnf(s230,plain,
( spl0_23
| ~ spl0_40 ),
inference(sat_conversion,[],[f2335]) ).
cnf(s235,plain,
( ~ spl0_5
| spl0_46 ),
inference(sat_conversion,[],[f2368]) ).
cnf(s287,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f2653]) ).
cnf(s289,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f2657]) ).
cnf(s293,plain,
( ~ spl0_15
| spl0_48 ),
inference(sat_conversion,[],[f2660]) ).
cnf(s294,plain,
( ~ spl0_41
| spl0_48 ),
inference(sat_conversion,[],[f2661]) ).
cnf(s297,plain,
( ~ spl0_22
| ~ spl0_24
| spl0_31
| ~ spl0_41 ),
inference(sat_conversion,[],[f2694]) ).
cnf(s298,plain,
( ~ spl0_6
| spl0_10
| ~ spl0_22
| ~ spl0_24 ),
inference(sat_conversion,[],[f2696]) ).
cnf(s310,plain,
( ~ spl0_15
| ~ spl0_33 ),
inference(sat_conversion,[],[f2712]) ).
cnf(s311,plain,
( ~ spl0_4
| ~ spl0_15
| spl0_24 ),
inference(sat_conversion,[],[f2714]) ).
cnf(s321,plain,
( ~ spl0_46
| spl0_48 ),
inference(sat_conversion,[],[f2755]) ).
cnf(s334,plain,
( ~ spl0_4
| spl0_41 ),
inference(sat_conversion,[],[f2762]) ).
cnf(s341,plain,
( ~ spl0_13
| ~ spl0_15
| spl0_36
| ~ spl0_46 ),
inference(sat_conversion,[],[f2763]) ).
cnf(s351,plain,
( ~ spl0_13
| ~ spl0_15
| spl0_22
| ~ spl0_24 ),
inference(sat_conversion,[],[f2783]) ).
cnf(s352,plain,
( ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f2785]) ).
cnf(s359,plain,
( ~ spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f2807]) ).
cnf(s365,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f2838]) ).
cnf(s373,plain,
( ~ spl0_1
| spl0_26 ),
inference(sat_conversion,[],[f2882]) ).
cnf(s383,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_13
| ~ spl0_15 ),
inference(sat_conversion,[],[f2901]) ).
cnf(s393,plain,
( ~ spl0_11
| ~ spl0_15 ),
inference(sat_conversion,[],[f2940]) ).
cnf(s406,plain,
( spl0_3
| ~ spl0_23
| ~ spl0_26
| ~ spl0_48 ),
inference(sat_conversion,[],[f2959]) ).
cnf(s407,plain,
( ~ spl0_1
| spl0_21
| ~ spl0_26
| ~ spl0_48 ),
inference(sat_conversion,[],[f2960]) ).
cnf(s408,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f2969]) ).
cnf(s409,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f2971]) ).
cnf(s410,plain,
( ~ spl0_2
| spl0_31 ),
inference(sat_conversion,[],[f2972]) ).
cnf(s413,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f2974]) ).
cnf(s416,plain,
( ~ spl0_31
| spl0_36
| ~ spl0_40
| ~ spl0_48 ),
inference(sat_conversion,[],[f3041]) ).
cnf(s428,plain,
( ~ spl0_31
| spl0_35
| ~ spl0_48 ),
inference(sat_conversion,[],[f3047]) ).
cnf(s436,plain,
( spl0_1
| ~ spl0_26 ),
inference(sat_conversion,[],[f3048]) ).
cnf(s450,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f3079]) ).
cnf(s451,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f3081]) ).
cnf(s461,plain,
( spl0_11
| ~ spl0_28 ),
inference(sat_conversion,[],[f3083]) ).
cnf(s497,plain,
( ~ spl0_31
| spl0_48 ),
inference(sat_conversion,[],[f3172]) ).
cnf(s498,plain,
( ~ spl0_19
| spl0_37
| spl0_27
| ~ spl0_46
| spl0_36
| spl0_26 ),
inference(rat,[],[s113,s230,s6,s8,s130,s211,s110,s451,s461,s393,s223,s341,s29,s321]) ).
cnf(s499,plain,
( ~ spl0_30
| spl0_37
| spl0_32
| ~ spl0_46
| spl0_36
| spl0_31 ),
inference(rat,[],[s213,s50,s211,s7,s8,s118,s230,s124,s113,s114,s310,s223,s341,s29,s321]) ).
cnf(s500,plain,
( spl0_37
| spl0_32
| spl0_27
| ~ spl0_46
| spl0_36
| spl0_31
| spl0_26 ),
inference(rat,[],[s287,s118,s230,s7,s8,s50,s211,s147,s359,s130,s6,s499,s310,s461,s393,s223,s341,s29,s321]) ).
cnf(s501,plain,
( spl0_32
| spl0_27
| spl0_45
| ~ spl0_46
| spl0_41
| spl0_36
| spl0_31
| spl0_26 ),
inference(rat,[],[s124,s114,s118,s6,s7,s130,s49,s110,s24,s9,s13,s409,s208,s500,s310,s167,s461,s393,s29,s321]) ).
cnf(s502,plain,
( spl0_27
| spl0_45
| ~ spl0_46
| spl0_41
| spl0_36
| spl0_31
| spl0_26 ),
inference(rat,[],[s24,s9,s498,s13,s208,s196,s365,s40,s501,s393,s167,s29,s321]) ).
cnf(s503,plain,
( spl0_4
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s287,s230,s118,s8,s7,s211,s49,s451,s24,s9,s40,s13,s208,s47,s58,s210,s185,s502,s223,s132,s341,s207,s167,s310,s29,s321,s235,s1,s12,s436,s413,s11]) ).
cnf(s504,plain,
( ~ spl0_16
| spl0_38
| spl0_35
| spl0_40
| spl0_33
| spl0_36
| spl0_31 ),
inference(rat,[],[s365,s40,s208,s7,s8,s50,s211,s147,s359]) ).
cnf(s505,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s213,s50,s211,s7,s8,s40,s208,s47,s210,s185,s6,s130,s504,s223,s351,s118,s114,s297,s156,s216,s461,s311,s310,s393,s29,s294,s334,s503,s11,s436,s413]) ).
cnf(s506,plain,
( ~ spl0_16
| spl0_35
| spl0_45
| spl0_41
| ~ spl0_15
| spl0_31 ),
inference(rat,[],[s196,s13,s40,s9,s7,s24,s50,s110,s147,s393,s310,s167]) ).
cnf(s507,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s49,s24,s7,s9,s40,s13,s47,s58,s185,s6,s130,s506,s118,s289,s199,s461,s188,s181,s12,s167,s293,s310,s393,s69,s72,s119,s505,s413,s436]) ).
cnf(s508,plain,
( ~ spl0_16
| ~ spl0_2 ),
inference(rat,[],[s13,s9,s409,s12,s208,s311,s132,s8,s223,s24,s135,s211,s352,s110,s147,s359,s118,s428,s416,s11,s36,s167,s29,s497,s410]) ).
cnf(s509,plain,
spl0_1,
inference(rat,[],[s450,s24,s211,s9,s8,s12,s223,s311,s132,s220,s13,s298,s208,s58,s96,s210,s185,s6,s130,s508,s114,s461,s124,s167,s393,s416,s118,s29,s11,s428,s497,s36,s410,s507,s436]) ).
cnf(s510,plain,
spl0_26,
inference(rat,[],[s373,s509]) ).
cnf(s511,plain,
spl0_15,
inference(rat,[],[s224,s509]) ).
cnf(s512,plain,
~ spl0_3,
inference(rat,[],[s107,s510]) ).
cnf(s513,plain,
~ spl0_11,
inference(rat,[],[s393,s511]) ).
cnf(s514,plain,
~ spl0_33,
inference(rat,[],[s310,s511]) ).
cnf(s516,plain,
spl0_48,
inference(rat,[],[s293,s511]) ).
cnf(s517,plain,
~ spl0_43,
inference(rat,[],[s167,s511]) ).
cnf(s519,plain,
~ spl0_23,
inference(rat,[],[s406,s516,s510,s512]) ).
cnf(s520,plain,
~ spl0_36,
inference(rat,[],[s11,s512]) ).
cnf(s523,plain,
spl0_21,
inference(rat,[],[s407,s510,s509,s516]) ).
cnf(s524,plain,
~ spl0_40,
inference(rat,[],[s230,s519]) ).
cnf(s525,plain,
~ spl0_24,
inference(rat,[],[s156,s523]) ).
cnf(s526,plain,
~ spl0_22,
inference(rat,[],[s124,s523]) ).
cnf(s527,plain,
~ spl0_45,
inference(rat,[],[s132,s525]) ).
cnf(s528,plain,
~ spl0_4,
inference(rat,[],[s311,s511,s525]) ).
cnf(s529,plain,
~ spl0_35,
inference(rat,[],[s118,s526]) ).
cnf(s530,plain,
~ spl0_41,
inference(rat,[],[s12,s528]) ).
cnf(s531,plain,
~ spl0_31,
inference(rat,[],[s428,s516,s529]) ).
cnf(s533,plain,
~ spl0_2,
inference(rat,[],[s410,s531]) ).
cnf(s535,plain,
~ spl0_13,
inference(rat,[],[s383,s511,s509,s533]) ).
cnf(s536,plain,
~ spl0_38,
inference(rat,[],[s223,s535]) ).
cnf(s537,plain,
~ spl0_34,
inference(rat,[],[s408,s208,s13,s8,s9,s211,s24,s215,s49,s50,s520,s536,s524,s517,s530,s527]) ).
cnf(s539,plain,
spl0_32,
inference(rat,[],[s7,s529,s531,s514,s537]) ).
cnf(s541,plain,
spl0_7,
inference(rat,[],[s40,s539]) ).
cnf(s543,plain,
~ spl0_8,
inference(rat,[],[s365,s541]) ).
cnf(s544,plain,
~ spl0_9,
inference(rat,[],[s196,s511,s513,s541]) ).
cnf(s545,plain,
~ spl0_37,
inference(rat,[],[s208,s543]) ).
cnf(s546,plain,
~ spl0_42,
inference(rat,[],[s13,s544]) ).
cnf(s547,plain,
spl0_39,
inference(rat,[],[s8,s524,s536,s520,s545]) ).
cnf(s548,plain,
spl0_44,
inference(rat,[],[s9,s527,s530,s517,s546]) ).
cnf(s549,plain,
spl0_18,
inference(rat,[],[s211,s547]) ).
cnf(s550,plain,
spl0_19,
inference(rat,[],[s24,s548]) ).
cnf(s551,plain,
$false,
inference(rat,[],[s450,s550,s549]) ).
fof(f3173,plain,
$false,
inference(avatar_sat_refutation,[],[s551]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG087+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n002.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 19:28:22 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.81/1.17 % (672551)Detected formulas, will run a generic FOF schedule.
% 3.81/1.17 % (672557)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=2992634484:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.81/1.17 % (672556)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=3409978936:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.81/1.17 % (672559)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=147969214:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.81/1.17 % (672558)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=4019856117:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.81/1.17 % (672560)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2862195393:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.81/1.17 % (672561)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2238805600:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.81/1.17 % (672562)dis-21_1_sil=8000:lcm=predicate:random_seed=3710476781: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)
% 3.81/1.17 % (672562)Refutation not found, incomplete strategy
% 3.81/1.17 % (672562)------------------------------
% 3.81/1.17 % (672562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.17 % (672562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.17 % (672562)CaDiCaL version: 2.1.3
% 3.81/1.17 % (672562)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.17 % (672562)Time elapsed: 0.005 s
% 3.81/1.17 % (672562)Peak memory usage: 88 MB
% 3.81/1.17 % (672562)Instructions burned: 8 (million)
% 3.81/1.17 % (672559)Instruction limit reached!
% 3.81/1.17 % (672559)------------------------------
% 3.81/1.17 % (672559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.17 % (672559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.17 % (672559)CaDiCaL version: 2.1.3
% 3.81/1.17 % (672559)Termination reason: Instruction limit
% 3.81/1.17 % (672559)Termination phase: Saturation
% 3.81/1.17 % (672559)Time elapsed: 0.057 s
% 3.81/1.17 % (672559)Peak memory usage: 89 MB
% 3.81/1.17 % (672559)Instructions burned: 109 (million)
% 3.81/1.17 % (672560)Instruction limit reached!
% 3.81/1.17 % (672560)------------------------------
% 3.81/1.17 % (672560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.17 % (672560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.17 % (672560)CaDiCaL version: 2.1.3
% 3.81/1.17 % (672560)Termination reason: Instruction limit
% 3.81/1.17 % (672560)Termination phase: Saturation
% 3.81/1.17 % (672560)Time elapsed: 0.049 s
% 3.81/1.17 % (672560)Peak memory usage: 87 MB
% 3.81/1.17 % (672560)Instructions burned: 120 (million)
% 3.81/1.17 % (672561)First to succeed.
% 3.81/1.17 % (672561)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-672551"
% 3.81/1.17 [W928 19:28:23.051705423 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.81/1.17 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.81/1.17 [W928 19:28:23.051728893 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.81/1.17 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.81/1.17 [W928 19:28:23.051748632 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.81/1.17 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.81/1.17 [W928 19:28:23.051754792 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.81/1.17 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.81/1.17 [W928 19:28:23.051770382 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.81/1.17 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.81/1.17 [W928 19:28:23.051775878 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.81/1.17 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.81/1.17 % (672570)lrs+10_1_sil=8000:sp=occurrence:random_seed=2552044297:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.81/1.17 % (672571)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2890989813:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.81/1.17 % (672570)Also succeeded, but the first one will report.
% 3.81/1.17 % (672571)Also succeeded, but the first one will report.
% 3.81/1.17 % (672562)------------------------------
% 3.81/1.17 % (672562)------------------------------
% 3.81/1.17 % (672561)Refutation found. Thanks to Tanya!
% 3.81/1.17 % SZS status Theorem for theBenchmark
% 3.81/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 4.19/1.27 % (672561)------------------------------
% 4.19/1.27 % (672561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.19/1.27 % (672561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/1.27 % (672561)CaDiCaL version: 2.1.3
% 4.19/1.27 % (672561)Termination reason: Refutation
% 4.19/1.27 % (672561)Time elapsed: 0.080 s
% 4.19/1.27 % (672561)Peak memory usage: 90 MB
% 4.19/1.27 % (672561)Instructions burned: 149 (million)
% 4.19/1.27 % (672561)------------------------------
% 4.19/1.27 % (672561)------------------------------
% 4.19/1.27 % (672551)Success in time 0.525 s
% 4.19/1.27 % Vampire exiting
%------------------------------------------------------------------------------