%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG088+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 : n017.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 4.52s 1.34s
% Output : Refutation 5.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 49
% Syntax : Number of formulae : 544 ( 85 unt; 44 def)
% Number of atoms : 1743 ( 828 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 1906 ( 707 ~; 813 |; 340 &)
% ( 44 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 46 ( 44 usr; 45 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) = 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) = e22
& op2(e21,e22) = e23
& op2(e21,e23) = e24
& op2(e21,e24) = e20
& op2(e22,e20) = e22
& op2(e22,e21) = e24
& op2(e22,e22) = e21
& op2(e22,e23) = e20
& op2(e22,e24) = e23
& op2(e23,e20) = e23
& op2(e23,e21) = e20
& op2(e23,e22) = e24
& op2(e23,e23) = e21
& op2(e23,e24) = e22
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e20
& op2(e24,e23) = e22
& op2(e24,e24) = e21 ),
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(f13,plain,
( e10 = j(e21)
| e11 = j(e21)
| e12 = j(e21)
| e13 = j(e21)
| e14 = j(e21) ),
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(f28,plain,
e21 = h(j(e21)),
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,
e21 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e22 = 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,
e10 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f106,plain,
e12 = 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,
e11 = op1(e13,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f111,plain,
e10 = 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(f116,plain,
e11 = op1(e12,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f117,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f119,plain,
e12 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f123,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f124,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f129,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f158,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f159,plain,
e21 != 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(f177,plain,
( e14 != j(e24)
| spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( e14 = j(e24)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl0_2
<=> e13 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(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(f198,plain,
( e14 != j(e23)
| spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f199,plain,
( e14 = j(e23)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl0_7
<=> e13 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f203,plain,
( e13 = j(e23)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl0_8
<=> e12 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f207,plain,
( e12 = j(e23)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_9
<=> e11 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f211,plain,
( e11 = j(e23)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_10
<=> e10 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f215,plain,
( e10 = j(e23)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f213,f209,f205,f201,f197]) ).
fof(f218,definition,
( spl0_11
<=> e14 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f219,plain,
( e14 != j(e22)
| spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( e14 = j(e22)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_12
<=> e13 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f224,plain,
( e13 = j(e22)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl0_13
<=> e12 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f228,plain,
( e12 = j(e22)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl0_14
<=> e11 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f232,plain,
( e11 = j(e22)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f239,definition,
( spl0_16
<=> e14 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f240,plain,
( e14 != j(e21)
| spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f241,plain,
( e14 = j(e21)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f243,definition,
( spl0_17
<=> e13 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f245,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl0_18
<=> e12 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f248,plain,
( e12 != j(e21)
| spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
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(f256,plain,
( e10 != j(e21)
| spl0_20 ),
inference(avatar_component_clause,[],[f255]) ).
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(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(f377,definition,
( spl0_49
<=> e21 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f379,plain,
( e21 = h(e10)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f385,plain,
j(e21) = op1(j(e24),j(e24)),
inference(forward_demodulation,[],[f30,f80]) ).
fof(f386,plain,
j(e22) = op1(j(e24),j(e23)),
inference(forward_demodulation,[],[f31,f81]) ).
fof(f387,plain,
j(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(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(f459,plain,
( e14 = j(e22)
| ~ spl0_28 ),
inference(superposition,[],[f20,f291]) ).
fof(f460,plain,
( e11 = j(e24)
| ~ spl0_41 ),
inference(superposition,[],[f23,f346]) ).
fof(f461,plain,
( spl0_4
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f460,f344,f188]) ).
fof(f463,plain,
( e11 = j(e23)
| ~ spl0_42 ),
inference(superposition,[],[f23,f350]) ).
fof(f464,plain,
( spl0_9
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f463,f348,f209]) ).
fof(f467,plain,
( e11 = j(e22)
| ~ spl0_43 ),
inference(superposition,[],[f23,f354]) ).
fof(f468,plain,
( spl0_14
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f467,f352,f230]) ).
fof(f469,plain,
( e11 = e14
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f232,f220]) ).
fof(f473,plain,
( $false
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f469,f168]) ).
fof(f474,plain,
( ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f479,plain,
( e11 = j(e21)
| ~ spl0_44 ),
inference(superposition,[],[f23,f358]) ).
fof(f480,plain,
( spl0_19
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f479,f356,f251]) ).
fof(f527,plain,
( e13 = j(e23)
| ~ spl0_32 ),
inference(superposition,[],[f21,f308]) ).
fof(f533,plain,
( e13 = j(e22)
| ~ spl0_33 ),
inference(superposition,[],[f21,f312]) ).
fof(f534,plain,
( spl0_12
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f533,f310,f222]) ).
fof(f538,plain,
( e13 = j(e21)
| ~ spl0_34 ),
inference(superposition,[],[f21,f316]) ).
fof(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(f567,plain,
( e11 = e12
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f211,f207]) ).
fof(f571,plain,
( $false
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f567,f170]) ).
fof(f572,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f571]) ).
fof(f590,plain,
( $false
| spl0_11
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f459,f219]) ).
fof(f591,plain,
( spl0_11
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f630,plain,
( op1(e11,e11) = j(e21)
| ~ spl0_4 ),
inference(superposition,[],[f385,f190]) ).
fof(f631,plain,
( e13 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f630,f245]) ).
fof(f632,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f631,f123]) ).
fof(f633,plain,
( $false
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f632,f172]) ).
fof(f634,plain,
( ~ spl0_4
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f648,plain,
( op1(e12,e12) = j(e21)
| ~ spl0_3 ),
inference(superposition,[],[f385,f186]) ).
fof(f652,plain,
( e13 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f648,f245]) ).
fof(f653,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f652,f117]) ).
fof(f654,plain,
( $false
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f653,f172]) ).
fof(f655,plain,
( ~ spl0_3
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f659,plain,
( op1(e10,e10) = j(e21)
| ~ spl0_5 ),
inference(superposition,[],[f385,f194]) ).
fof(f661,plain,
( e13 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f659,f245]) ).
fof(f662,plain,
( e10 = e13
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f661,f129]) ).
fof(f663,plain,
( $false
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f662,f172]) ).
fof(f664,plain,
( ~ spl0_5
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f663]) ).
fof(f671,plain,
( op1(e13,e13) = j(e21)
| ~ spl0_2 ),
inference(superposition,[],[f385,f182]) ).
fof(f672,plain,
( e24 = h(e13)
| ~ spl0_2 ),
inference(superposition,[],[f25,f182]) ).
fof(f675,plain,
( e13 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f671,f245]) ).
fof(f676,plain,
( e10 = e13
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f675,f111]) ).
fof(f677,plain,
( $false
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f676,f172]) ).
fof(f678,plain,
( ~ spl0_2
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f683,plain,
( op1(e14,e14) = j(e21)
| ~ spl0_1 ),
inference(superposition,[],[f385,f178]) ).
fof(f684,plain,
( e24 = h(e14)
| ~ spl0_1 ),
inference(superposition,[],[f25,f178]) ).
fof(f687,plain,
( e13 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[],[f683,f245]) ).
fof(f688,plain,
( e10 = e13
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[],[f687,f105]) ).
fof(f689,plain,
( $false
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f688,f172]) ).
fof(f690,plain,
( ~ spl0_1
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f705,plain,
( op1(e11,e11) = j(e21)
| ~ spl0_4 ),
inference(superposition,[],[f385,f190]) ).
fof(f707,plain,
( e11 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[],[f705,f253]) ).
fof(f708,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[],[f707,f123]) ).
fof(f709,plain,
( $false
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f708,f174]) ).
fof(f710,plain,
( ~ spl0_4
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f717,plain,
( e21 = h(e10)
| ~ spl0_20 ),
inference(superposition,[],[f28,f257]) ).
fof(f722,plain,
( e12 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[],[f705,f249]) ).
fof(f723,plain,
( e10 = e12
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[],[f722,f123]) ).
fof(f724,plain,
( $false
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f723,f173]) ).
fof(f725,plain,
( ~ spl0_4
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f724]) ).
fof(f728,plain,
( e14 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f705,f241]) ).
fof(f729,plain,
( e10 = e14
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f728,f123]) ).
fof(f730,plain,
( $false
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f729,f171]) ).
fof(f731,plain,
( ~ spl0_4
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f732,plain,
( spl0_49
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f717,f255,f377]) ).
fof(f755,plain,
( e14 = j(e20)
| ~ spl0_30 ),
inference(superposition,[],[f20,f299]) ).
fof(f756,plain,
( $false
| spl0_21
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f755,f261]) ).
fof(f757,plain,
( spl0_21
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f756]) ).
fof(f765,plain,
( $false
| spl0_1
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f435,f177]) ).
fof(f766,plain,
( spl0_1
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f765]) ).
fof(f772,plain,
( e14 = j(e21)
| ~ spl0_29 ),
inference(superposition,[],[f20,f295]) ).
fof(f773,plain,
( $false
| spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f772,f240]) ).
fof(f774,plain,
( spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f773]) ).
fof(f784,plain,
( e14 = j(e20)
| ~ spl0_30 ),
inference(superposition,[],[f20,f299]) ).
fof(f789,plain,
( e13 = j(e20)
| ~ spl0_35 ),
inference(superposition,[],[f21,f320]) ).
fof(f790,plain,
( spl0_22
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f789,f318,f264]) ).
fof(f799,plain,
( e11 = e13
| ~ spl0_9
| ~ spl0_32 ),
inference(forward_demodulation,[],[f527,f211]) ).
fof(f804,plain,
( $false
| ~ spl0_9
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f799,f169]) ).
fof(f805,plain,
( ~ spl0_9
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f804]) ).
fof(f807,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f527,f306,f201]) ).
fof(f809,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_31 ),
inference(forward_demodulation,[],[f441,f190]) ).
fof(f813,plain,
( $false
| ~ spl0_4
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f809,f169]) ).
fof(f814,plain,
( ~ spl0_4
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f813]) ).
fof(f848,plain,
( e12 = e14
| ~ spl0_23
| ~ spl0_30 ),
inference(forward_demodulation,[],[f784,f270]) ).
fof(f853,plain,
( $false
| ~ spl0_23
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f848,f166]) ).
fof(f854,plain,
( ~ spl0_23
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f853]) ).
fof(f871,plain,
( e12 = j(e20)
| ~ spl0_40 ),
inference(superposition,[],[f22,f341]) ).
fof(f872,plain,
( $false
| spl0_23
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f871,f269]) ).
fof(f873,plain,
( spl0_23
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f872]) ).
fof(f877,plain,
( e12 = j(e22)
| ~ spl0_38 ),
inference(superposition,[],[f22,f333]) ).
fof(f885,plain,
( e12 = j(e21)
| ~ spl0_39 ),
inference(superposition,[],[f22,f337]) ).
fof(f905,plain,
( e12 = e13
| ~ spl0_22
| ~ spl0_23 ),
inference(superposition,[],[f270,f266]) ).
fof(f913,plain,
( $false
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f905,f167]) ).
fof(f914,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f913]) ).
fof(f917,plain,
( spl0_13
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f877,f331,f226]) ).
fof(f936,plain,
( e14 = j(e23)
| ~ spl0_27 ),
inference(superposition,[],[f20,f287]) ).
fof(f952,plain,
( j(e22) = op1(e11,j(e23))
| ~ spl0_4 ),
inference(superposition,[],[f386,f190]) ).
fof(f964,plain,
( j(e23) = op1(e11,j(e21))
| ~ spl0_4 ),
inference(superposition,[],[f388,f190]) ).
fof(f967,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f964,f257]) ).
fof(f969,plain,
( e14 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f967,f199]) ).
fof(f971,plain,
( e11 = e14
| ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f969,f124]) ).
fof(f974,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f971,f168]) ).
fof(f975,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f974]) ).
fof(f979,plain,
( $false
| spl0_6
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f936,f198]) ).
fof(f980,plain,
( spl0_6
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f979]) ).
fof(f981,plain,
( op1(e11,e11) = j(e22)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f952,f211]) ).
fof(f984,plain,
( e12 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f981,f228]) ).
fof(f985,plain,
( e10 = e12
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f984,f123]) ).
fof(f986,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f985,f173]) ).
fof(f987,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f986]) ).
fof(f1020,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(superposition,[],[f25,f194]) ).
fof(f1023,plain,
( op1(e10,e10) = j(e21)
| ~ spl0_5 ),
inference(superposition,[],[f385,f194]) ).
fof(f1030,plain,
( e12 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1023,f249]) ).
fof(f1034,plain,
( e10 = e12
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1030,f129]) ).
fof(f1037,plain,
( $false
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1034,f173]) ).
fof(f1038,plain,
( ~ spl0_5
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1037]) ).
fof(f1091,plain,
( spl0_31
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f672,f180,f302]) ).
fof(f1101,plain,
( op1(e13,e13) = j(e21)
| ~ spl0_2 ),
inference(superposition,[],[f385,f182]) ).
fof(f1108,plain,
( e12 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1101,f249]) ).
fof(f1112,plain,
( e10 = e12
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1108,f111]) ).
fof(f1113,plain,
( $false
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1112,f173]) ).
fof(f1114,plain,
( ~ spl0_2
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1113]) ).
fof(f1148,plain,
( op1(e12,e12) = j(e21)
| ~ spl0_3 ),
inference(superposition,[],[f385,f186]) ).
fof(f1150,plain,
( j(e20) = op1(e12,j(e22))
| ~ spl0_3 ),
inference(superposition,[],[f387,f186]) ).
fof(f1151,plain,
( j(e23) = op1(e12,j(e21))
| ~ spl0_3 ),
inference(superposition,[],[f388,f186]) ).
fof(f1152,plain,
( op1(e12,e10) = j(e23)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1151,f257]) ).
fof(f1156,plain,
( e14 = op1(e12,e10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1152,f199]) ).
fof(f1159,plain,
( e12 = e14
| ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1156,f119]) ).
fof(f1160,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1159,f166]) ).
fof(f1161,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1160]) ).
fof(f1166,plain,
( e13 = e14
| ~ spl0_12
| ~ spl0_28 ),
inference(forward_demodulation,[],[f459,f224]) ).
fof(f1170,plain,
( e13 = op1(e12,e10)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1152,f203]) ).
fof(f1173,plain,
( $false
| ~ spl0_12
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1166,f165]) ).
fof(f1174,plain,
( ~ spl0_12
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1173]) ).
fof(f1176,plain,
( e12 = e13
| ~ spl0_3
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1170,f119]) ).
fof(f1178,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1176,f167]) ).
fof(f1179,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1178]) ).
fof(f1231,plain,
( e14 = j(e22)
| ~ spl0_28 ),
inference(superposition,[],[f20,f291]) ).
fof(f1248,plain,
( e12 = op1(e12,j(e20))
| ~ spl0_3 ),
inference(superposition,[],[f389,f186]) ).
fof(f1251,plain,
( e12 = op1(e12,e13)
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1248,f266]) ).
fof(f1253,plain,
( e11 = e12
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1251,f116]) ).
fof(f1256,plain,
( $false
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1253,f170]) ).
fof(f1257,plain,
( ~ spl0_3
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1256]) ).
fof(f1263,plain,
( op1(e12,e13) = j(e20)
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1150,f224]) ).
fof(f1265,plain,
( e14 = op1(e12,e13)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1263,f262]) ).
fof(f1266,plain,
( e11 = e14
| ~ spl0_3
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1265,f116]) ).
fof(f1267,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1266,f168]) ).
fof(f1268,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1267]) ).
fof(f1270,plain,
( e10 = e14
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f772,f257]) ).
fof(f1278,plain,
( $false
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1270,f171]) ).
fof(f1279,plain,
( ~ spl0_20
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1278]) ).
fof(f1283,plain,
( e10 = j(e21)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1148,f117]) ).
fof(f1285,plain,
( $false
| ~ spl0_3
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f1283,f256]) ).
fof(f1286,plain,
( ~ spl0_3
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f1285]) ).
fof(f1287,plain,
( e12 = e14
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f178,f186]) ).
fof(f1288,plain,
( spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f684,f176,f281]) ).
fof(f1293,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1287,f166]) ).
fof(f1294,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f1293]) ).
fof(f1305,plain,
( j(e20) = op1(e14,j(e22))
| ~ spl0_1 ),
inference(superposition,[],[f387,f178]) ).
fof(f1307,plain,
( e14 = op1(e14,j(e20))
| ~ spl0_1 ),
inference(superposition,[],[f389,f178]) ).
fof(f1308,plain,
( e14 = op1(e14,e11)
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1307,f274]) ).
fof(f1313,plain,
( e13 = e14
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1308,f108]) ).
fof(f1317,plain,
( $false
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1313,f165]) ).
fof(f1318,plain,
( ~ spl0_1
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1317]) ).
fof(f1322,plain,
( e14 = op1(e14,e12)
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1307,f270]) ).
fof(f1324,plain,
( e11 = e14
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1322,f107]) ).
fof(f1325,plain,
( $false
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1324,f168]) ).
fof(f1326,plain,
( ~ spl0_1
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1325]) ).
fof(f1336,plain,
( e23 = h(e10)
| ~ spl0_10 ),
inference(superposition,[],[f26,f215]) ).
fof(f1361,plain,
( e12 = e13
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f228,f224]) ).
fof(f1371,plain,
( $false
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1361,f167]) ).
fof(f1372,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1371]) ).
fof(f1376,plain,
( $false
| spl0_2
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f441,f181]) ).
fof(f1377,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f1376]) ).
fof(f1384,plain,
( op1(e14,e11) = j(e20)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1305,f232]) ).
fof(f1404,plain,
( e13 = j(e20)
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1384,f108]) ).
fof(f1429,plain,
( j(e24) = op1(j(e24),e13)
| ~ spl0_22 ),
inference(superposition,[],[f389,f266]) ).
fof(f1430,plain,
( e14 = op1(e14,e13)
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1429,f178]) ).
fof(f1431,plain,
( e12 = e14
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1430,f106]) ).
fof(f1432,plain,
( $false
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1431,f166]) ).
fof(f1433,plain,
( ~ spl0_1
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1432]) ).
fof(f1435,plain,
( e21 = e24
| ~ spl0_5
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1020,f379]) ).
fof(f1448,plain,
( $false
| ~ spl0_5
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1435,f158]) ).
fof(f1449,plain,
( ~ spl0_5
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1448]) ).
fof(f1467,plain,
( $false
| spl0_18
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f885,f248]) ).
fof(f1468,plain,
( spl0_18
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1467]) ).
fof(f1507,plain,
( op1(e10,e10) = j(e21)
| ~ spl0_5 ),
inference(superposition,[],[f385,f194]) ).
fof(f1516,plain,
( e11 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1507,f253]) ).
fof(f1520,plain,
( e10 = e11
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1516,f129]) ).
fof(f1523,plain,
( $false
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1520,f174]) ).
fof(f1524,plain,
( ~ spl0_5
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1523]) ).
fof(f1536,plain,
( e14 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1507,f241]) ).
fof(f1538,plain,
( e10 = e14
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1536,f129]) ).
fof(f1539,plain,
( $false
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1538,f171]) ).
fof(f1540,plain,
( ~ spl0_5
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1539]) ).
fof(f1555,plain,
( j(e23) = op1(e11,j(e21))
| ~ spl0_4 ),
inference(superposition,[],[f388,f190]) ).
fof(f1558,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1555,f257]) ).
fof(f1562,plain,
( e13 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1558,f203]) ).
fof(f1565,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1562,f124]) ).
fof(f1567,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1565,f169]) ).
fof(f1568,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1567]) ).
fof(f1587,plain,
( e21 = e23
| ~ spl0_10
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1336,f379]) ).
fof(f1590,plain,
( $false
| ~ spl0_10
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1587,f159]) ).
fof(f1591,plain,
( ~ spl0_10
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1590]) ).
fof(f1603,plain,
( op1(e13,e13) = j(e21)
| ~ spl0_2 ),
inference(superposition,[],[f385,f182]) ).
fof(f1604,plain,
( j(e22) = op1(e13,j(e23))
| ~ spl0_2 ),
inference(superposition,[],[f386,f182]) ).
fof(f1606,plain,
( j(e23) = op1(e13,j(e21))
| ~ spl0_2 ),
inference(superposition,[],[f388,f182]) ).
fof(f1607,plain,
( e13 = op1(e13,j(e20))
| ~ spl0_2 ),
inference(superposition,[],[f389,f182]) ).
fof(f1608,plain,
( e13 = op1(e13,e11)
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1607,f274]) ).
fof(f1609,plain,
( op1(e13,e10) = j(e23)
| ~ spl0_2
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1606,f257]) ).
fof(f1613,plain,
( e12 = e13
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1608,f113]) ).
fof(f1614,plain,
( e14 = op1(e13,e10)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1609,f199]) ).
fof(f1617,plain,
( $false
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1613,f167]) ).
fof(f1618,plain,
( ~ spl0_2
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1617]) ).
fof(f1619,plain,
( e13 = e14
| ~ spl0_2
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1614,f114]) ).
fof(f1621,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1619,f165]) ).
fof(f1622,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1621]) ).
fof(f1630,plain,
( e13 = op1(e13,e14)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1607,f262]) ).
fof(f1634,plain,
( op1(e13,e11) = j(e22)
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1604,f211]) ).
fof(f1636,plain,
( e11 = e13
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1630,f110]) ).
fof(f1638,plain,
( $false
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1636,f169]) ).
fof(f1639,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1638]) ).
fof(f1642,plain,
( e12 = e14
| ~ spl0_13
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1231,f228]) ).
fof(f1652,plain,
( $false
| ~ spl0_13
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1642,f166]) ).
fof(f1653,plain,
( ~ spl0_13
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1652]) ).
fof(f1658,plain,
( e12 = j(e22)
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1634,f113]) ).
fof(f1675,plain,
( e11 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1603,f253]) ).
fof(f1679,plain,
( e10 = e11
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1675,f111]) ).
fof(f1681,plain,
( $false
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1679,f174]) ).
fof(f1682,plain,
( ~ spl0_2
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1681]) ).
fof(f1683,plain,
( spl0_13
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1658,f209,f180,f226]) ).
fof(f1692,plain,
( e14 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1603,f241]) ).
fof(f1697,plain,
( e10 = e14
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1692,f111]) ).
fof(f1699,plain,
( $false
| ~ spl0_2
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1697,f171]) ).
fof(f1700,plain,
( ~ spl0_2
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1699]) ).
fof(f1701,plain,
( spl0_22
| ~ spl0_1
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1404,f230,f176,f264]) ).
fof(f1726,plain,
( op1(e14,e14) = j(e21)
| ~ spl0_1 ),
inference(superposition,[],[f385,f178]) ).
fof(f1735,plain,
( e11 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1726,f253]) ).
fof(f1740,plain,
( e10 = e11
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1735,f105]) ).
fof(f1744,plain,
( $false
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1740,f174]) ).
fof(f1745,plain,
( ~ spl0_1
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1744]) ).
fof(f1762,plain,
( e12 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1726,f249]) ).
fof(f1767,plain,
( e10 = e12
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1762,f105]) ).
fof(f1770,plain,
( $false
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1767,f173]) ).
fof(f1771,plain,
( ~ spl0_1
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1770]) ).
fof(f1794,plain,
( j(e23) = op1(e11,j(e21))
| ~ spl0_4 ),
inference(superposition,[],[f388,f190]) ).
fof(f1797,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1794,f257]) ).
fof(f1801,plain,
( e12 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1797,f207]) ).
fof(f1804,plain,
( e11 = e12
| ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1801,f124]) ).
fof(f1805,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1804,f170]) ).
fof(f1806,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1805]) ).
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(s4,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f258]) ).
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(s17,plain,
( spl0_4
| ~ spl0_41 ),
inference(sat_conversion,[],[f461]) ).
cnf(s18,plain,
( spl0_9
| ~ spl0_42 ),
inference(sat_conversion,[],[f464]) ).
cnf(s19,plain,
( spl0_14
| ~ spl0_43 ),
inference(sat_conversion,[],[f468]) ).
cnf(s21,plain,
( ~ spl0_11
| ~ spl0_14 ),
inference(sat_conversion,[],[f474]) ).
cnf(s22,plain,
( spl0_19
| ~ spl0_44 ),
inference(sat_conversion,[],[f480]) ).
cnf(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(s45,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f572]) ).
cnf(s48,plain,
( spl0_11
| ~ spl0_28 ),
inference(sat_conversion,[],[f591]) ).
cnf(s53,plain,
( ~ spl0_4
| ~ spl0_17 ),
inference(sat_conversion,[],[f634]) ).
cnf(s57,plain,
( ~ spl0_3
| ~ spl0_17 ),
inference(sat_conversion,[],[f655]) ).
cnf(s58,plain,
( ~ spl0_5
| ~ spl0_17 ),
inference(sat_conversion,[],[f664]) ).
cnf(s60,plain,
( ~ spl0_2
| ~ spl0_17 ),
inference(sat_conversion,[],[f678]) ).
cnf(s62,plain,
( ~ spl0_1
| ~ spl0_17 ),
inference(sat_conversion,[],[f690]) ).
cnf(s66,plain,
( ~ spl0_4
| ~ spl0_19 ),
inference(sat_conversion,[],[f710]) ).
cnf(s68,plain,
( ~ spl0_4
| ~ spl0_18 ),
inference(sat_conversion,[],[f725]) ).
cnf(s69,plain,
( ~ spl0_4
| ~ spl0_16 ),
inference(sat_conversion,[],[f731]) ).
cnf(s70,plain,
( ~ spl0_20
| spl0_49 ),
inference(sat_conversion,[],[f732]) ).
cnf(s73,plain,
( spl0_21
| ~ spl0_30 ),
inference(sat_conversion,[],[f757]) ).
cnf(s76,plain,
( spl0_1
| ~ spl0_26 ),
inference(sat_conversion,[],[f766]) ).
cnf(s77,plain,
( spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f774]) ).
cnf(s78,plain,
( spl0_22
| ~ spl0_35 ),
inference(sat_conversion,[],[f790]) ).
cnf(s81,plain,
( ~ spl0_9
| ~ spl0_32 ),
inference(sat_conversion,[],[f805]) ).
cnf(s82,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f807]) ).
cnf(s83,plain,
( ~ spl0_4
| ~ spl0_31 ),
inference(sat_conversion,[],[f814]) ).
cnf(s95,plain,
( ~ spl0_23
| ~ spl0_30 ),
inference(sat_conversion,[],[f854]) ).
cnf(s96,plain,
( spl0_23
| ~ spl0_40 ),
inference(sat_conversion,[],[f873]) ).
cnf(s103,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f914]) ).
cnf(s104,plain,
( spl0_13
| ~ spl0_38 ),
inference(sat_conversion,[],[f917]) ).
cnf(s107,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_20 ),
inference(sat_conversion,[],[f975]) ).
cnf(s109,plain,
( spl0_6
| ~ spl0_27 ),
inference(sat_conversion,[],[f980]) ).
cnf(s110,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_13 ),
inference(sat_conversion,[],[f987]) ).
cnf(s119,plain,
( ~ spl0_5
| ~ spl0_18 ),
inference(sat_conversion,[],[f1038]) ).
cnf(s132,plain,
( ~ spl0_2
| spl0_31 ),
inference(sat_conversion,[],[f1091]) ).
cnf(s135,plain,
( ~ spl0_2
| ~ spl0_18 ),
inference(sat_conversion,[],[f1114]) ).
cnf(s148,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_20 ),
inference(sat_conversion,[],[f1161]) ).
cnf(s152,plain,
( ~ spl0_12
| ~ spl0_28 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s153,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_20 ),
inference(sat_conversion,[],[f1179]) ).
cnf(s161,plain,
( ~ spl0_3
| ~ spl0_22 ),
inference(sat_conversion,[],[f1257]) ).
cnf(s165,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_21 ),
inference(sat_conversion,[],[f1268]) ).
cnf(s168,plain,
( ~ spl0_20
| ~ spl0_29 ),
inference(sat_conversion,[],[f1279]) ).
cnf(s169,plain,
( ~ spl0_3
| spl0_20 ),
inference(sat_conversion,[],[f1286]) ).
cnf(s170,plain,
( ~ spl0_1
| spl0_26 ),
inference(sat_conversion,[],[f1288]) ).
cnf(s174,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f1294]) ).
cnf(s177,plain,
( ~ spl0_1
| ~ spl0_24 ),
inference(sat_conversion,[],[f1318]) ).
cnf(s180,plain,
( ~ spl0_1
| ~ spl0_23 ),
inference(sat_conversion,[],[f1326]) ).
cnf(s186,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f1372]) ).
cnf(s188,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f1377]) ).
cnf(s196,plain,
( ~ spl0_1
| ~ spl0_22 ),
inference(sat_conversion,[],[f1433]) ).
cnf(s200,plain,
( ~ spl0_5
| ~ spl0_49 ),
inference(sat_conversion,[],[f1449]) ).
cnf(s209,plain,
( spl0_18
| ~ spl0_39 ),
inference(sat_conversion,[],[f1468]) ).
cnf(s220,plain,
( ~ spl0_5
| ~ spl0_19 ),
inference(sat_conversion,[],[f1524]) ).
cnf(s224,plain,
( ~ spl0_5
| ~ spl0_16 ),
inference(sat_conversion,[],[f1540]) ).
cnf(s233,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_20 ),
inference(sat_conversion,[],[f1568]) ).
cnf(s243,plain,
( ~ spl0_10
| ~ spl0_49 ),
inference(sat_conversion,[],[f1591]) ).
cnf(s246,plain,
( ~ spl0_2
| ~ spl0_24 ),
inference(sat_conversion,[],[f1618]) ).
cnf(s247,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_20 ),
inference(sat_conversion,[],[f1622]) ).
cnf(s252,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(sat_conversion,[],[f1639]) ).
cnf(s258,plain,
( ~ spl0_13
| ~ spl0_28 ),
inference(sat_conversion,[],[f1653]) ).
cnf(s266,plain,
( ~ spl0_2
| ~ spl0_19 ),
inference(sat_conversion,[],[f1682]) ).
cnf(s268,plain,
( ~ spl0_2
| ~ spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f1683]) ).
cnf(s271,plain,
( ~ spl0_2
| ~ spl0_16 ),
inference(sat_conversion,[],[f1700]) ).
cnf(s274,plain,
( ~ spl0_1
| ~ spl0_14
| spl0_22 ),
inference(sat_conversion,[],[f1701]) ).
cnf(s285,plain,
( ~ spl0_1
| ~ spl0_19 ),
inference(sat_conversion,[],[f1745]) ).
cnf(s291,plain,
( ~ spl0_1
| ~ spl0_18 ),
inference(sat_conversion,[],[f1771]) ).
cnf(s303,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_20 ),
inference(sat_conversion,[],[f1806]) ).
cnf(s304,plain,
~ spl0_5,
inference(rat,[],[s4,s70,s58,s119,s200,s220,s224]) ).
cnf(s306,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s36,s152,s7,s6,s78,s95,s103,s96,s8,s104,s110,s2,s82,s13,s109,s243,s233,s303,s107,s70,s4,s38,s209,s77,s53,s66,s68,s69,s1,s12,s76,s188,s304]) ).
cnf(s307,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s6,s73,s152,s165,s36,s7,s109,s38,s82,s78,s148,s168,s57,s153,s161,s169,s306,s188,s76]) ).
cnf(s308,plain,
spl0_1,
inference(rat,[],[s9,s19,s18,s21,s268,s48,s258,s6,s109,s247,s17,s4,s83,s41,s73,s22,s77,s60,s132,s135,s246,s252,s266,s271,s307,s76]) ).
cnf(s309,plain,
~ spl0_18,
inference(rat,[],[s291,s308]) ).
cnf(s310,plain,
~ spl0_19,
inference(rat,[],[s285,s308]) ).
cnf(s312,plain,
~ spl0_22,
inference(rat,[],[s196,s308]) ).
cnf(s313,plain,
~ spl0_23,
inference(rat,[],[s180,s308]) ).
cnf(s314,plain,
~ spl0_24,
inference(rat,[],[s177,s308]) ).
cnf(s315,plain,
~ spl0_3,
inference(rat,[],[s174,s308]) ).
cnf(s316,plain,
spl0_26,
inference(rat,[],[s170,s308]) ).
cnf(s318,plain,
~ spl0_17,
inference(rat,[],[s62,s308]) ).
cnf(s319,plain,
~ spl0_14,
inference(rat,[],[s274,s312,s308]) ).
cnf(s320,plain,
~ spl0_39,
inference(rat,[],[s209,s309]) ).
cnf(s321,plain,
~ spl0_44,
inference(rat,[],[s22,s310]) ).
cnf(s323,plain,
~ spl0_35,
inference(rat,[],[s78,s312]) ).
cnf(s324,plain,
~ spl0_40,
inference(rat,[],[s96,s313]) ).
cnf(s326,plain,
~ spl0_45,
inference(rat,[],[s41,s314]) ).
cnf(s327,plain,
~ spl0_36,
inference(rat,[],[s12,s315]) ).
cnf(s328,plain,
~ spl0_2,
inference(rat,[],[s11,s316]) ).
cnf(s330,plain,
~ spl0_34,
inference(rat,[],[s38,s318]) ).
cnf(s331,plain,
~ spl0_43,
inference(rat,[],[s19,s319]) ).
cnf(s333,plain,
~ spl0_31,
inference(rat,[],[s188,s328]) ).
cnf(s334,plain,
~ spl0_8,
inference(rat,[],[s4,s303,s69,s17,s9,s18,s45,s309,s310,s318,s326,s331,s321]) ).
cnf(s335,plain,
~ spl0_37,
inference(rat,[],[s13,s334]) ).
cnf(s336,plain,
spl0_38,
inference(rat,[],[s8,s320,s327,s324,s335]) ).
cnf(s337,plain,
spl0_13,
inference(rat,[],[s104,s336]) ).
cnf(s341,plain,
~ spl0_12,
inference(rat,[],[s186,s337]) ).
cnf(s343,plain,
~ spl0_33,
inference(rat,[],[s36,s341]) ).
cnf(s344,plain,
spl0_32,
inference(rat,[],[s7,s333,s330,s323,s343]) ).
cnf(s345,plain,
spl0_7,
inference(rat,[],[s82,s344]) ).
cnf(s346,plain,
~ spl0_9,
inference(rat,[],[s81,s344]) ).
cnf(s347,plain,
~ spl0_42,
inference(rat,[],[s18,s346]) ).
cnf(s348,plain,
spl0_41,
inference(rat,[],[s9,s321,s331,s326,s347]) ).
cnf(s349,plain,
spl0_4,
inference(rat,[],[s17,s348]) ).
cnf(s350,plain,
~ spl0_16,
inference(rat,[],[s69,s349]) ).
cnf(s351,plain,
~ spl0_20,
inference(rat,[],[s233,s345,s349]) ).
cnf(s353,plain,
$false,
inference(rat,[],[s4,s318,s310,s309,s350,s351]) ).
fof(f1807,plain,
$false,
inference(avatar_sat_refutation,[],[s353]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG088+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.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 19:21:06 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
% 4.52/1.34 % (3919965)Detected formulas, will run a generic FOF schedule.
% 4.52/1.34 % (3920064)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=81052917:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.52/1.34 % (3920058)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=309804467:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.52/1.34 % (3920061)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=1298384712:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.52/1.34 % (3920062)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3518745670:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.52/1.34 % (3920064)Instruction limit reached!
% 4.52/1.34 % (3920064)------------------------------
% 4.52/1.34 % (3920064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.34 % (3920064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.34 % (3920064)CaDiCaL version: 2.1.3
% 4.52/1.34 % (3920064)Termination reason: Instruction limit
% 4.52/1.34 % (3920064)Termination phase: Saturation
% 4.52/1.34 % (3920064)Time elapsed: 0.029 s
% 4.52/1.34 % (3920064)Peak memory usage: 87 MB
% 4.52/1.34 % (3920064)Instructions burned: 122 (million)
% 4.52/1.34 % (3920057)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=2346561408:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.52/1.34 % (3920067)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=769197102:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.52/1.34 % (3920070)dis-21_1_sil=8000:lcm=predicate:random_seed=1147717471: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)
% 4.52/1.34 % (3920070)Refutation not found, incomplete strategy
% 4.52/1.34 % (3920070)------------------------------
% 4.52/1.34 % (3920070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.34 % (3920070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.34 % (3920070)CaDiCaL version: 2.1.3
% 4.52/1.34 % (3920070)Termination reason: Refutation not found, incomplete strategy
% 4.52/1.34 % (3920070)Time elapsed: 0.005 s
% 4.52/1.34 % (3920070)Peak memory usage: 88 MB
% 4.52/1.34 % (3920070)Instructions burned: 8 (million)
% 4.52/1.34 % (3920062)Refutation not found, incomplete strategy
% 4.52/1.34 % (3920062)------------------------------
% 4.52/1.34 % (3920062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.34 % (3920062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.34 % (3920062)CaDiCaL version: 2.1.3
% 4.52/1.34 % (3920062)Termination reason: Refutation not found, incomplete strategy
% 4.52/1.34 % (3920062)Time elapsed: 0.065 s
% 4.52/1.34 % (3920062)Peak memory usage: 89 MB
% 4.52/1.34 % (3920062)Instructions burned: 96 (million)
% 4.52/1.34 % (3920067)Instruction limit reached!
% 4.52/1.34 % (3920067)------------------------------
% 4.52/1.34 % (3920067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.34 % (3920067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.34 % (3920067)CaDiCaL version: 2.1.3
% 4.52/1.34 % (3920067)Termination reason: Instruction limit
% 4.52/1.34 % (3920067)Termination phase: Saturation
% 4.52/1.34 % (3920067)Time elapsed: 0.126 s
% 4.52/1.34 % (3920067)Peak memory usage: 89 MB
% 4.52/1.34 % (3920067)Instructions burned: 140 (million)
% 4.52/1.34 % (3920102)lrs+10_1_sil=8000:sp=occurrence:random_seed=2507694602:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.52/1.34 % (3920102)First to succeed.
% 4.52/1.34 % (3920102)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3919965"
% 4.52/1.34 % (3920070)------------------------------
% 4.52/1.34 % (3920070)------------------------------
% 4.52/1.34 % (3920130)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3923485985:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 4.52/1.34 [W928 19:21:07.481505255 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 [W928 19:21:07.481545780 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 [W928 19:21:07.481566863 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 [W928 19:21:07.481586760 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 [W928 19:21:07.481600477 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 [W928 19:21:07.481606486 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 % (3920062)------------------------------
% 4.52/1.34 % (3920062)------------------------------
% 4.52/1.34 % (3920130)Also succeeded, but the first one will report.
% 4.52/1.34 [W928 19:21:07.561637365 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 [W928 19:21:07.561676846 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 [W928 19:21:07.561713396 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 [W928 19:21:07.561726319 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 [W928 19:21:07.561752616 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 [W928 19:21:07.561763933 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 [W928 19:21:07.581839141 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 [W928 19:21:07.581873918 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 [W928 19:21:07.581909844 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 [W928 19:21:07.581933091 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 [W928 19:21:07.581961015 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 [W928 19:21:07.581972078 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.
% 4.52/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.52/1.34 % (3920143)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3099724000:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.52/1.34 % (3920143)Also succeeded, but the first one will report.
% 4.52/1.34 % (3920157)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2729190505:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.52/1.34 % (3920102)Refutation found. Thanks to Tanya!
% 4.52/1.34 % SZS status Theorem for theBenchmark
% 4.52/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 5.14/1.44 % (3920102)------------------------------
% 5.14/1.44 % (3920102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.44 % (3920102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.44 % (3920102)CaDiCaL version: 2.1.3
% 5.14/1.44 % (3920102)Termination reason: Refutation
% 5.14/1.44 % (3920102)Time elapsed: 0.034 s
% 5.14/1.44 % (3920102)Peak memory usage: 90 MB
% 5.14/1.44 % (3920102)Instructions burned: 61 (million)
% 5.14/1.44 % (3920102)------------------------------
% 5.14/1.44 % (3920102)------------------------------
% 5.14/1.44 % (3919965)Success in time 0.66 s
% 5.14/1.44 % Vampire exiting
%------------------------------------------------------------------------------