%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG086+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:09:32 AM UTC 2026
% Result : Theorem 4.07s 1.29s
% Output : Refutation 4.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 28
% Syntax : Number of formulae : 390 ( 54 unt; 23 def)
% Number of atoms : 1418 ( 737 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 1615 ( 587 ~; 663 |; 340 &)
% ( 23 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 25 ( 23 usr; 24 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/sandbox2/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/sandbox2/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/sandbox2/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) = e24
& op2(e21,e22) = e23
& op2(e21,e23) = e20
& op2(e21,e24) = e22
& op2(e22,e20) = e22
& op2(e22,e21) = e20
& op2(e22,e22) = e24
& op2(e22,e23) = e21
& op2(e22,e24) = e23
& op2(e23,e20) = e23
& op2(e23,e21) = e22
& op2(e23,e22) = e20
& op2(e23,e23) = e24
& op2(e23,e24) = e21
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e21
& op2(e24,e23) = e22
& op2(e24,e24) = e20 ),
file('/export/starexec/sandbox2/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/sandbox2/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(f14,plain,
( e10 = j(e20)
| e11 = j(e20)
| e12 = j(e20)
| e13 = j(e20)
| e14 = j(e20) ),
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(f21,plain,
e13 = j(h(e13)),
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(f29,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f80,plain,
e20 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e22 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
e23 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f85,plain,
e21 = op2(e23,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f86,plain,
e24 = op2(e23,e23),
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(f111,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f117,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f123,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f129,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f161,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f162,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f166,plain,
e12 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f171,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f172,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f173,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f174,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f176,definition,
( spl0_1
<=> e14 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f178,plain,
( e14 = j(e24)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl0_2
<=> e13 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f182,plain,
( e13 = j(e24)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl0_3
<=> e12 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f186,plain,
( e12 = j(e24)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl0_4
<=> e11 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f190,plain,
( e11 = j(e24)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl0_5
<=> e10 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f194,plain,
( e10 = j(e24)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f192,f188,f184,f180,f176]) ).
fof(f197,definition,
( spl0_6
<=> e14 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f199,plain,
( e14 = j(e23)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl0_7
<=> e13 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(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(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(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(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(f266,plain,
( e13 = j(e20)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_23
<=> e12 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f270,plain,
( e12 = j(e20)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_24
<=> e11 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f274,plain,
( e11 = j(e20)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl0_25
<=> e10 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f278,plain,
( e10 = j(e20)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f14,f276,f272,f268,f264,f260]) ).
fof(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(f381,definition,
( spl0_50
<=> e20 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f383,plain,
( e20 = h(e10)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f385,plain,
j(e20) = op1(j(e24),j(e24)),
inference(forward_demodulation,[],[f30,f80]) ).
fof(f386,plain,
j(e22) = op1(j(e24),j(e23)),
inference(forward_demodulation,[],[f31,f81]) ).
fof(f388,plain,
j(e23) = op1(j(e24),j(e21)),
inference(forward_demodulation,[],[f33,f83]) ).
fof(f390,plain,
j(e21) = op1(j(e23),j(e24)),
inference(forward_demodulation,[],[f35,f85]) ).
fof(f391,plain,
j(e24) = op1(j(e23),j(e23)),
inference(forward_demodulation,[],[f36,f86]) ).
fof(f441,plain,
( e13 = j(e24)
| ~ spl0_31 ),
inference(superposition,[],[f21,f304]) ).
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(f629,plain,
( e20 = h(e10)
| ~ spl0_25 ),
inference(superposition,[],[f29,f278]) ).
fof(f680,plain,
( op1(e10,e10) = j(e20)
| ~ spl0_5 ),
inference(superposition,[],[f385,f194]) ).
fof(f681,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(superposition,[],[f25,f194]) ).
fof(f682,plain,
( e11 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f680,f274]) ).
fof(f684,plain,
( e10 = e11
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f682,f129]) ).
fof(f686,plain,
( $false
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f684,f174]) ).
fof(f687,plain,
( ~ spl0_5
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f691,plain,
( e12 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[],[f680,f270]) ).
fof(f692,plain,
( e10 = e12
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[],[f691,f129]) ).
fof(f693,plain,
( $false
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f692,f173]) ).
fof(f694,plain,
( ~ spl0_5
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f697,plain,
( e14 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f680,f262]) ).
fof(f698,plain,
( e10 = e14
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f697,f129]) ).
fof(f699,plain,
( $false
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f698,f171]) ).
fof(f700,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f703,plain,
( e13 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_demodulation,[],[f680,f266]) ).
fof(f704,plain,
( e10 = e13
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_demodulation,[],[f703,f129]) ).
fof(f705,plain,
( $false
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f704,f172]) ).
fof(f706,plain,
( ~ spl0_5
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f708,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f441,f302,f180]) ).
fof(f737,plain,
( op1(e14,e14) = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f385,f178]) ).
fof(f741,plain,
( e12 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f737,f270]) ).
fof(f743,plain,
( e10 = e12
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f741,f105]) ).
fof(f745,plain,
( $false
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f743,f173]) ).
fof(f746,plain,
( ~ spl0_1
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f745]) ).
fof(f754,plain,
( op1(e13,e13) = j(e20)
| ~ spl0_2 ),
inference(superposition,[],[f385,f182]) ).
fof(f756,plain,
( e12 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_demodulation,[],[f754,f270]) ).
fof(f758,plain,
( e10 = e12
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_demodulation,[],[f756,f111]) ).
fof(f760,plain,
( $false
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f758,f173]) ).
fof(f761,plain,
( ~ spl0_2
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f760]) ).
fof(f778,plain,
( op1(e12,e12) = j(e20)
| ~ spl0_3 ),
inference(superposition,[],[f385,f186]) ).
fof(f782,plain,
( e12 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_23 ),
inference(forward_demodulation,[],[f778,f270]) ).
fof(f784,plain,
( e10 = e12
| ~ spl0_3
| ~ spl0_23 ),
inference(forward_demodulation,[],[f782,f117]) ).
fof(f786,plain,
( $false
| ~ spl0_3
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f784,f173]) ).
fof(f787,plain,
( ~ spl0_3
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f786]) ).
fof(f801,plain,
( op1(e11,e11) = j(e20)
| ~ spl0_4 ),
inference(superposition,[],[f385,f190]) ).
fof(f803,plain,
( e12 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f801,f270]) ).
fof(f805,plain,
( e10 = e12
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f803,f123]) ).
fof(f807,plain,
( $false
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f805,f173]) ).
fof(f808,plain,
( ~ spl0_4
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f807]) ).
fof(f832,plain,
( op1(e13,e13) = j(e20)
| ~ spl0_2 ),
inference(superposition,[],[f385,f182]) ).
fof(f834,plain,
( e13 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f832,f266]) ).
fof(f836,plain,
( e10 = e13
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f834,f111]) ).
fof(f838,plain,
( $false
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f836,f172]) ).
fof(f839,plain,
( ~ spl0_2
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f845,plain,
( e11 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[],[f832,f274]) ).
fof(f850,plain,
( e10 = e11
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[],[f845,f111]) ).
fof(f852,plain,
( $false
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f850,f174]) ).
fof(f853,plain,
( ~ spl0_2
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f852]) ).
fof(f856,plain,
( e14 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f832,f262]) ).
fof(f857,plain,
( e10 = e14
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f856,f111]) ).
fof(f858,plain,
( $false
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f857,f171]) ).
fof(f859,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f858]) ).
fof(f873,plain,
( op1(e14,e14) = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f385,f178]) ).
fof(f875,plain,
( e11 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_demodulation,[],[f873,f274]) ).
fof(f877,plain,
( e10 = e11
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_demodulation,[],[f875,f105]) ).
fof(f879,plain,
( $false
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f877,f174]) ).
fof(f880,plain,
( ~ spl0_1
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f879]) ).
fof(f895,plain,
( op1(e12,e12) = j(e20)
| ~ spl0_3 ),
inference(superposition,[],[f385,f186]) ).
fof(f897,plain,
( e11 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_24 ),
inference(forward_demodulation,[],[f895,f274]) ).
fof(f899,plain,
( e10 = e11
| ~ spl0_3
| ~ spl0_24 ),
inference(forward_demodulation,[],[f897,f117]) ).
fof(f901,plain,
( $false
| ~ spl0_3
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f899,f174]) ).
fof(f902,plain,
( ~ spl0_3
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f901]) ).
fof(f918,plain,
( op1(e11,e11) = j(e20)
| ~ spl0_4 ),
inference(superposition,[],[f385,f190]) ).
fof(f920,plain,
( e11 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_24 ),
inference(forward_demodulation,[],[f918,f274]) ).
fof(f922,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_24 ),
inference(forward_demodulation,[],[f920,f123]) ).
fof(f924,plain,
( $false
| ~ spl0_4
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f922,f174]) ).
fof(f925,plain,
( ~ spl0_4
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f924]) ).
fof(f941,plain,
( op1(e14,e14) = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f385,f178]) ).
fof(f943,plain,
( e13 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f941,f266]) ).
fof(f945,plain,
( e10 = e13
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f943,f105]) ).
fof(f947,plain,
( $false
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f945,f172]) ).
fof(f948,plain,
( ~ spl0_1
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f947]) ).
fof(f952,plain,
( e14 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_demodulation,[],[f941,f262]) ).
fof(f953,plain,
( e10 = e14
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_demodulation,[],[f952,f105]) ).
fof(f954,plain,
( $false
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f953,f171]) ).
fof(f955,plain,
( ~ spl0_1
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f954]) ).
fof(f972,plain,
( op1(e12,e12) = j(e20)
| ~ spl0_3 ),
inference(superposition,[],[f385,f186]) ).
fof(f974,plain,
( e13 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_demodulation,[],[f972,f266]) ).
fof(f976,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_demodulation,[],[f974,f117]) ).
fof(f978,plain,
( $false
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f976,f172]) ).
fof(f979,plain,
( ~ spl0_3
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f978]) ).
fof(f986,plain,
( op1(e11,e11) = j(e20)
| ~ spl0_4 ),
inference(superposition,[],[f385,f190]) ).
fof(f988,plain,
( e13 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_demodulation,[],[f986,f266]) ).
fof(f990,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_demodulation,[],[f988,f123]) ).
fof(f992,plain,
( $false
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f990,f172]) ).
fof(f993,plain,
( ~ spl0_4
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f992]) ).
fof(f1008,plain,
( j(e22) = op1(e12,j(e23))
| ~ spl0_3 ),
inference(superposition,[],[f386,f186]) ).
fof(f1009,plain,
( op1(e12,e12) = j(e20)
| ~ spl0_3 ),
inference(superposition,[],[f385,f186]) ).
fof(f1011,plain,
( e14 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1009,f262]) ).
fof(f1013,plain,
( e10 = e14
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1011,f117]) ).
fof(f1015,plain,
( $false
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1013,f171]) ).
fof(f1016,plain,
( ~ spl0_3
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1015]) ).
fof(f1017,plain,
( spl0_50
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f629,f276,f381]) ).
fof(f1077,plain,
( e13 = j(e20)
| ~ spl0_35 ),
inference(superposition,[],[f21,f320]) ).
fof(f1078,plain,
( e10 = e13
| ~ spl0_25
| ~ spl0_35 ),
inference(forward_demodulation,[],[f1077,f278]) ).
fof(f1079,plain,
( $false
| ~ spl0_25
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1078,f172]) ).
fof(f1080,plain,
( ~ spl0_25
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f1079]) ).
fof(f1133,plain,
( j(e21) = op1(j(e23),e12)
| ~ spl0_3 ),
inference(superposition,[],[f390,f186]) ).
fof(f1138,plain,
( op1(e11,e11) = j(e24)
| ~ spl0_9 ),
inference(superposition,[],[f391,f211]) ).
fof(f1139,plain,
( e12 = op1(e11,e11)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1138,f186]) ).
fof(f1140,plain,
( e10 = e12
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1139,f123]) ).
fof(f1141,plain,
( $false
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1140,f173]) ).
fof(f1142,plain,
( ~ spl0_3
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1141]) ).
fof(f1165,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f527,f306,f201]) ).
fof(f1209,plain,
( op1(e14,e14) = j(e24)
| ~ spl0_6 ),
inference(superposition,[],[f391,f199]) ).
fof(f1215,plain,
( e12 = op1(e14,e14)
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1209,f186]) ).
fof(f1218,plain,
( e10 = e12
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1215,f105]) ).
fof(f1219,plain,
( $false
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1218,f173]) ).
fof(f1220,plain,
( ~ spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1219]) ).
fof(f1251,plain,
( op1(e13,e13) = j(e24)
| ~ spl0_7 ),
inference(superposition,[],[f391,f203]) ).
fof(f1257,plain,
( e12 = op1(e13,e13)
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1251,f186]) ).
fof(f1260,plain,
( e10 = e12
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1257,f111]) ).
fof(f1261,plain,
( $false
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f1260,f173]) ).
fof(f1262,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1261]) ).
fof(f1305,plain,
( op1(e12,e12) = j(e22)
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1008,f207]) ).
fof(f1309,plain,
( e13 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1305,f224]) ).
fof(f1312,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1309,f117]) ).
fof(f1316,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1312,f172]) ).
fof(f1317,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1316]) ).
fof(f1362,plain,
( op1(e12,e12) = j(e21)
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1133,f207]) ).
fof(f1370,plain,
( e13 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1362,f245]) ).
fof(f1373,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1370,f117]) ).
fof(f1378,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1373,f172]) ).
fof(f1379,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1378]) ).
fof(f1404,plain,
( op1(e11,e11) = j(e20)
| ~ spl0_4 ),
inference(superposition,[],[f385,f190]) ).
fof(f1405,plain,
( j(e22) = op1(e11,j(e23))
| ~ spl0_4 ),
inference(superposition,[],[f386,f190]) ).
fof(f1409,plain,
( j(e21) = op1(j(e23),e11)
| ~ spl0_4 ),
inference(superposition,[],[f390,f190]) ).
fof(f1445,plain,
( op1(e14,e14) = j(e24)
| ~ spl0_6 ),
inference(superposition,[],[f391,f199]) ).
fof(f1451,plain,
( e11 = op1(e14,e14)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1445,f190]) ).
fof(f1454,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1451,f105]) ).
fof(f1455,plain,
( $false
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1454,f174]) ).
fof(f1456,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1455]) ).
fof(f1468,plain,
( e14 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1404,f262]) ).
fof(f1471,plain,
( op1(e11,e11) = j(e21)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1409,f211]) ).
fof(f1474,plain,
( e10 = e14
| ~ spl0_4
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1468,f123]) ).
fof(f1475,plain,
( e13 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1471,f245]) ).
fof(f1477,plain,
( $false
| ~ spl0_4
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1474,f171]) ).
fof(f1478,plain,
( ~ spl0_4
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1477]) ).
fof(f1479,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1475,f123]) ).
fof(f1481,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1479,f172]) ).
fof(f1482,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1481]) ).
fof(f1540,plain,
( op1(e11,e11) = j(e22)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1405,f211]) ).
fof(f1568,plain,
( e13 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1540,f224]) ).
fof(f1572,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1568,f123]) ).
fof(f1575,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1572,f172]) ).
fof(f1576,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1575]) ).
fof(f1601,plain,
( op1(e12,e12) = j(e24)
| ~ spl0_8 ),
inference(superposition,[],[f391,f207]) ).
fof(f1602,plain,
( e11 = op1(e12,e12)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1601,f190]) ).
fof(f1605,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1602,f117]) ).
fof(f1608,plain,
( $false
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1605,f174]) ).
fof(f1609,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1608]) ).
fof(f1659,plain,
( op1(e13,e13) = j(e24)
| ~ spl0_7 ),
inference(superposition,[],[f391,f203]) ).
fof(f1660,plain,
( e11 = op1(e13,e13)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1659,f190]) ).
fof(f1663,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1660,f111]) ).
fof(f1666,plain,
( $false
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f1663,f174]) ).
fof(f1667,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1666]) ).
fof(f1689,plain,
( e13 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1659,f182]) ).
fof(f1698,plain,
( e10 = e13
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1689,f111]) ).
fof(f1701,plain,
( $false
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f1698,f172]) ).
fof(f1702,plain,
( ~ spl0_2
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1701]) ).
fof(f1717,plain,
( e14 = op1(e13,e13)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1659,f178]) ).
fof(f1728,plain,
( e10 = e14
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1717,f111]) ).
fof(f1731,plain,
( $false
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f1728,f171]) ).
fof(f1732,plain,
( ~ spl0_1
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1731]) ).
fof(f1739,plain,
( e20 = e24
| ~ spl0_5
| ~ spl0_50 ),
inference(forward_demodulation,[],[f681,f383]) ).
fof(f1754,plain,
( $false
| ~ spl0_5
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1739,f161]) ).
fof(f1755,plain,
( ~ spl0_5
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1754]) ).
fof(f1784,plain,
( j(e22) = op1(e14,j(e23))
| ~ spl0_1 ),
inference(superposition,[],[f386,f178]) ).
fof(f1786,plain,
( j(e23) = op1(e14,j(e21))
| ~ spl0_1 ),
inference(superposition,[],[f388,f178]) ).
fof(f1800,plain,
( e23 = h(e10)
| ~ spl0_10 ),
inference(superposition,[],[f26,f215]) ).
fof(f1806,plain,
( op1(e10,e10) = j(e24)
| ~ spl0_10 ),
inference(superposition,[],[f391,f215]) ).
fof(f1807,plain,
( e14 = op1(e10,e10)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1806,f178]) ).
fof(f1812,plain,
( e10 = e14
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1807,f129]) ).
fof(f1815,plain,
( $false
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1812,f171]) ).
fof(f1816,plain,
( ~ spl0_1
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1815]) ).
fof(f1835,plain,
( op1(e11,e11) = j(e24)
| ~ spl0_9 ),
inference(superposition,[],[f391,f211]) ).
fof(f1836,plain,
( e14 = op1(e11,e11)
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1835,f178]) ).
fof(f1839,plain,
( e10 = e14
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1836,f123]) ).
fof(f1842,plain,
( $false
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1839,f171]) ).
fof(f1843,plain,
( ~ spl0_1
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1842]) ).
fof(f1848,plain,
( op1(e14,e14) = j(e22)
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1784,f199]) ).
fof(f1851,plain,
( e13 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1848,f224]) ).
fof(f1854,plain,
( e10 = e13
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1851,f105]) ).
fof(f1859,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1854,f172]) ).
fof(f1860,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1859]) ).
fof(f1867,plain,
( op1(e14,e13) = j(e23)
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1786,f245]) ).
fof(f1871,plain,
( e14 = op1(e14,e13)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1867,f199]) ).
fof(f1875,plain,
( e12 = e14
| ~ spl0_1
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1871,f106]) ).
fof(f1880,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1875,f166]) ).
fof(f1881,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1880]) ).
fof(f1928,plain,
( op1(e12,e12) = j(e24)
| ~ spl0_8 ),
inference(superposition,[],[f391,f207]) ).
fof(f1929,plain,
( e14 = op1(e12,e12)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1928,f178]) ).
fof(f1932,plain,
( e10 = e14
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1929,f117]) ).
fof(f1935,plain,
( $false
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1932,f171]) ).
fof(f1936,plain,
( ~ spl0_1
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1935]) ).
fof(f1979,plain,
( op1(e14,e14) = j(e24)
| ~ spl0_6 ),
inference(superposition,[],[f391,f199]) ).
fof(f1980,plain,
( e13 = op1(e14,e14)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1979,f182]) ).
fof(f1983,plain,
( e10 = e13
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1980,f105]) ).
fof(f1986,plain,
( $false
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1983,f172]) ).
fof(f1987,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1986]) ).
fof(f1988,plain,
( e20 = e23
| ~ spl0_10
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1800,f383]) ).
fof(f1999,plain,
( $false
| ~ spl0_10
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1988,f162]) ).
fof(f2000,plain,
( ~ spl0_10
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1999]) ).
fof(f2044,plain,
( op1(e11,e11) = j(e24)
| ~ spl0_9 ),
inference(superposition,[],[f391,f211]) ).
fof(f2045,plain,
( e13 = op1(e11,e11)
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2044,f182]) ).
fof(f2048,plain,
( e10 = e13
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2045,f123]) ).
fof(f2051,plain,
( $false
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2048,f172]) ).
fof(f2052,plain,
( ~ spl0_2
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2051]) ).
fof(f2095,plain,
( op1(e12,e12) = j(e24)
| ~ spl0_8 ),
inference(superposition,[],[f391,f207]) ).
fof(f2096,plain,
( e13 = op1(e12,e12)
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2095,f182]) ).
fof(f2099,plain,
( e10 = e13
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f2096,f117]) ).
fof(f2102,plain,
( $false
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f2099,f172]) ).
fof(f2103,plain,
( ~ spl0_2
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f2102]) ).
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(s5,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f279]) ).
cnf(s7,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f321]) ).
cnf(s36,plain,
( spl0_12
| ~ spl0_33 ),
inference(sat_conversion,[],[f534]) ).
cnf(s38,plain,
( spl0_17
| ~ spl0_34 ),
inference(sat_conversion,[],[f543]) ).
cnf(s60,plain,
( ~ spl0_5
| ~ spl0_24 ),
inference(sat_conversion,[],[f687]) ).
cnf(s61,plain,
( ~ spl0_5
| ~ spl0_23 ),
inference(sat_conversion,[],[f694]) ).
cnf(s62,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(sat_conversion,[],[f700]) ).
cnf(s63,plain,
( ~ spl0_5
| ~ spl0_22 ),
inference(sat_conversion,[],[f706]) ).
cnf(s64,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f708]) ).
cnf(s69,plain,
( ~ spl0_1
| ~ spl0_23 ),
inference(sat_conversion,[],[f746]) ).
cnf(s70,plain,
( ~ spl0_2
| ~ spl0_23 ),
inference(sat_conversion,[],[f761]) ).
cnf(s73,plain,
( ~ spl0_3
| ~ spl0_23 ),
inference(sat_conversion,[],[f787]) ).
cnf(s77,plain,
( ~ spl0_4
| ~ spl0_23 ),
inference(sat_conversion,[],[f808]) ).
cnf(s83,plain,
( ~ spl0_2
| ~ spl0_22 ),
inference(sat_conversion,[],[f839]) ).
cnf(s85,plain,
( ~ spl0_2
| ~ spl0_24 ),
inference(sat_conversion,[],[f853]) ).
cnf(s86,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(sat_conversion,[],[f859]) ).
cnf(s90,plain,
( ~ spl0_1
| ~ spl0_24 ),
inference(sat_conversion,[],[f880]) ).
cnf(s95,plain,
( ~ spl0_3
| ~ spl0_24 ),
inference(sat_conversion,[],[f902]) ).
cnf(s101,plain,
( ~ spl0_4
| ~ spl0_24 ),
inference(sat_conversion,[],[f925]) ).
cnf(s106,plain,
( ~ spl0_1
| ~ spl0_22 ),
inference(sat_conversion,[],[f948]) ).
cnf(s107,plain,
( ~ spl0_1
| ~ spl0_21 ),
inference(sat_conversion,[],[f955]) ).
cnf(s113,plain,
( ~ spl0_3
| ~ spl0_22 ),
inference(sat_conversion,[],[f979]) ).
cnf(s117,plain,
( ~ spl0_4
| ~ spl0_22 ),
inference(sat_conversion,[],[f993]) ).
cnf(s121,plain,
( ~ spl0_3
| ~ spl0_21 ),
inference(sat_conversion,[],[f1016]) ).
cnf(s122,plain,
( ~ spl0_25
| spl0_50 ),
inference(sat_conversion,[],[f1017]) ).
cnf(s130,plain,
( ~ spl0_25
| ~ spl0_35 ),
inference(sat_conversion,[],[f1080]) ).
cnf(s135,plain,
( ~ spl0_3
| ~ spl0_9 ),
inference(sat_conversion,[],[f1142]) ).
cnf(s137,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f1165]) ).
cnf(s142,plain,
( ~ spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f1220]) ).
cnf(s146,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(sat_conversion,[],[f1262]) ).
cnf(s160,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_12 ),
inference(sat_conversion,[],[f1317]) ).
cnf(s178,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_17 ),
inference(sat_conversion,[],[f1379]) ).
cnf(s188,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f1456]) ).
cnf(s190,plain,
( ~ spl0_4
| ~ spl0_21 ),
inference(sat_conversion,[],[f1478]) ).
cnf(s191,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_17 ),
inference(sat_conversion,[],[f1482]) ).
cnf(s214,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_12 ),
inference(sat_conversion,[],[f1576]) ).
cnf(s218,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(sat_conversion,[],[f1609]) ).
cnf(s226,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f1667]) ).
cnf(s232,plain,
( ~ spl0_2
| ~ spl0_7 ),
inference(sat_conversion,[],[f1702]) ).
cnf(s239,plain,
( ~ spl0_1
| ~ spl0_7 ),
inference(sat_conversion,[],[f1732]) ).
cnf(s244,plain,
( ~ spl0_5
| ~ spl0_50 ),
inference(sat_conversion,[],[f1755]) ).
cnf(s255,plain,
( ~ spl0_1
| ~ spl0_10 ),
inference(sat_conversion,[],[f1816]) ).
cnf(s259,plain,
( ~ spl0_1
| ~ spl0_9 ),
inference(sat_conversion,[],[f1843]) ).
cnf(s264,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_12 ),
inference(sat_conversion,[],[f1860]) ).
cnf(s270,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_17 ),
inference(sat_conversion,[],[f1881]) ).
cnf(s281,plain,
( ~ spl0_1
| ~ spl0_8 ),
inference(sat_conversion,[],[f1936]) ).
cnf(s289,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(sat_conversion,[],[f1987]) ).
cnf(s292,plain,
( ~ spl0_10
| ~ spl0_50 ),
inference(sat_conversion,[],[f2000]) ).
cnf(s299,plain,
( ~ spl0_2
| ~ spl0_9 ),
inference(sat_conversion,[],[f2052]) ).
cnf(s311,plain,
( ~ spl0_2
| ~ spl0_8 ),
inference(sat_conversion,[],[f2103]) ).
cnf(s312,plain,
~ spl0_5,
inference(rat,[],[s5,s122,s60,s61,s62,s63,s244]) ).
cnf(s314,plain,
( ~ spl0_4
| spl0_31 ),
inference(rat,[],[s7,s38,s36,s191,s214,s2,s292,s122,s130,s5,s137,s77,s101,s117,s188,s190,s218,s226]) ).
cnf(s315,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s7,s36,s38,s160,s178,s2,s292,s122,s130,s5,s137,s73,s95,s113,s121,s135,s142,s146,s1,s314,s64,s312]) ).
cnf(s316,plain,
~ spl0_2,
inference(rat,[],[s122,s292,s5,s2,s70,s83,s85,s86,s232,s289,s299,s311]) ).
cnf(s317,plain,
~ spl0_31,
inference(rat,[],[s64,s316]) ).
cnf(s318,plain,
spl0_1,
inference(rat,[],[s315,s316]) ).
cnf(s320,plain,
~ spl0_8,
inference(rat,[],[s281,s318]) ).
cnf(s321,plain,
~ spl0_9,
inference(rat,[],[s259,s318]) ).
cnf(s322,plain,
~ spl0_10,
inference(rat,[],[s255,s318]) ).
cnf(s323,plain,
~ spl0_7,
inference(rat,[],[s239,s318]) ).
cnf(s326,plain,
~ spl0_21,
inference(rat,[],[s107,s318]) ).
cnf(s327,plain,
~ spl0_22,
inference(rat,[],[s106,s318]) ).
cnf(s328,plain,
~ spl0_24,
inference(rat,[],[s90,s318]) ).
cnf(s331,plain,
~ spl0_23,
inference(rat,[],[s69,s318]) ).
cnf(s336,plain,
spl0_6,
inference(rat,[],[s2,s323,s320,s321,s322]) ).
cnf(s337,plain,
~ spl0_32,
inference(rat,[],[s137,s323]) ).
cnf(s341,plain,
spl0_25,
inference(rat,[],[s5,s326,s328,s331,s327]) ).
cnf(s343,plain,
~ spl0_17,
inference(rat,[],[s270,s318,s336]) ).
cnf(s345,plain,
~ spl0_12,
inference(rat,[],[s264,s318,s336]) ).
cnf(s348,plain,
~ spl0_35,
inference(rat,[],[s130,s341]) ).
cnf(s350,plain,
~ spl0_34,
inference(rat,[],[s38,s343]) ).
cnf(s352,plain,
~ spl0_33,
inference(rat,[],[s36,s345]) ).
cnf(s354,plain,
$false,
inference(rat,[],[s7,s348,s337,s317,s350,s352]) ).
fof(f2104,plain,
$false,
inference(avatar_sat_refutation,[],[s354]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG086+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n015.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 19:29:02 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.07/1.29 % (2930860)Detected formulas, will run a generic FOF schedule.
% 4.07/1.29 % (2930948)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=323004499:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.07/1.29 % (2930947)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=3165063649:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.07/1.29 % (2930950)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=3419886437:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.07/1.29 % (2930954)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4255252001:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.07/1.29 % (2930955)dis-21_1_sil=8000:lcm=predicate:random_seed=4248236867: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)
% 4.07/1.29 % (2930952)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1429678856:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.07/1.29 % (2930951)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1804401569:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.07/1.29 % (2930955)Refutation not found, incomplete strategy
% 4.07/1.29 % (2930955)------------------------------
% 4.07/1.29 % (2930955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.29 % (2930955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.29 % (2930955)CaDiCaL version: 2.1.3
% 4.07/1.29 % (2930955)Termination reason: Refutation not found, incomplete strategy
% 4.07/1.29 % (2930955)Time elapsed: 0.005 s
% 4.07/1.29 % (2930955)Peak memory usage: 88 MB
% 4.07/1.29 % (2930955)Instructions burned: 8 (million)
% 4.07/1.29 % (2930952)Instruction limit reached!
% 4.07/1.29 % (2930952)------------------------------
% 4.07/1.29 % (2930952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.29 % (2930952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.29 % (2930952)CaDiCaL version: 2.1.3
% 4.07/1.29 % (2930952)Termination reason: Instruction limit
% 4.07/1.29 % (2930952)Termination phase: Saturation
% 4.07/1.29 % (2930952)Time elapsed: 0.050 s
% 4.07/1.29 % (2930952)Peak memory usage: 87 MB
% 4.07/1.29 % (2930952)Instructions burned: 120 (million)
% 4.07/1.29 % (2930951)Instruction limit reached!
% 4.07/1.29 % (2930951)------------------------------
% 4.07/1.29 % (2930951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.29 % (2930951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.29 % (2930951)CaDiCaL version: 2.1.3
% 4.07/1.29 % (2930951)Termination reason: Instruction limit
% 4.07/1.29 % (2930951)Termination phase: Saturation
% 4.07/1.29 % (2930951)Time elapsed: 0.059 s
% 4.07/1.29 % (2930951)Peak memory usage: 89 MB
% 4.07/1.29 % (2930951)Instructions burned: 109 (million)
% 4.07/1.29 % (2930954)Instruction limit reached!
% 4.07/1.29 % (2930954)------------------------------
% 4.07/1.29 % (2930954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.29 % (2930954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.29 % (2930954)CaDiCaL version: 2.1.3
% 4.07/1.29 % (2930954)Termination reason: Instruction limit
% 4.07/1.29 % (2930954)Termination phase: Saturation
% 4.07/1.29 % (2930954)Time elapsed: 0.075 s
% 4.07/1.29 % (2930954)Peak memory usage: 89 MB
% 4.07/1.29 % (2930954)Instructions burned: 139 (million)
% 4.07/1.29 [W928 19:29:03.357167771 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 [W928 19:29:03.357195241 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 [W928 19:29:03.357214702 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 [W928 19:29:03.357221106 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 [W928 19:29:03.357234825 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 [W928 19:29:03.357249470 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 % (2930984)lrs+10_1_sil=8000:sp=occurrence:random_seed=2319877802:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.07/1.29 % (2930985)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1614876817:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.07/1.29 % (2930984)First to succeed.
% 4.07/1.29 % (2930984)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2930860"
% 4.07/1.29 % (2930985)Also succeeded, but the first one will report.
% 4.07/1.29 % (2930986)lrs+1011_1_sil=32000:sp=occurrence:random_seed=872814207:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.07/1.29 % (2930955)------------------------------
% 4.07/1.29 % (2930955)------------------------------
% 4.07/1.29 % (2930986)Also succeeded, but the first one will report.
% 4.07/1.29 [W928 19:29:03.564281804 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 [W928 19:29:03.564313978 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 [W928 19:29:03.564348361 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 [W928 19:29:03.564360561 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 [W928 19:29:03.564385948 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 [W928 19:29:03.564397058 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 [W928 19:29:03.565658890 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 [W928 19:29:03.565686260 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 [W928 19:29:03.565722820 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 [W928 19:29:03.565733987 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 [W928 19:29:03.565772691 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 [W928 19:29:03.565783637 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.
% 4.07/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.07/1.29 % (2930995)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=856001384:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.07/1.29 % (2930948)Also succeeded, but the first one will report.
% 4.07/1.29 % (2930984)Refutation found. Thanks to Tanya!
% 4.07/1.29 % SZS status Theorem for theBenchmark
% 4.07/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 4.93/1.48 % (2930984)------------------------------
% 4.93/1.48 % (2930984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.48 % (2930984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.48 % (2930984)CaDiCaL version: 2.1.3
% 4.93/1.48 % (2930984)Termination reason: Refutation
% 4.93/1.48 % (2930984)Time elapsed: 0.034 s
% 4.93/1.48 % (2930984)Peak memory usage: 90 MB
% 4.93/1.48 % (2930984)Instructions burned: 62 (million)
% 4.93/1.48 % (2930984)------------------------------
% 4.93/1.48 % (2930984)------------------------------
% 4.93/1.48 % (2930860)Success in time 0.611 s
% 4.93/1.48 % Vampire exiting
%------------------------------------------------------------------------------