%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG076+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 09:21:16 AM UTC 2026
% Result : Theorem 0.20s 0.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 55
% Syntax : Number of formulae : 982 ( 85 unt; 50 def)
% Number of atoms : 3059 (1046 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 3616 (1539 ~;1685 |; 340 &)
% ( 50 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 52 ( 50 usr; 51 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e10,e14) = e14
& op1(e11,e10) = e11
& op1(e11,e11) = e14
& op1(e11,e12) = e13
& op1(e11,e13) = e10
& op1(e11,e14) = e12
& op1(e12,e10) = e12
& op1(e12,e11) = e10
& op1(e12,e12) = e14
& op1(e12,e13) = e11
& op1(e12,e14) = e13
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e10
& op1(e13,e13) = e14
& op1(e13,e14) = e11
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e12
& op1(e14,e14) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e20,e24) = e24
& op2(e21,e20) = e21
& op2(e21,e21) = e20
& op2(e21,e22) = e24
& op2(e21,e23) = e22
& op2(e21,e24) = e23
& op2(e22,e20) = e22
& op2(e22,e21) = e24
& op2(e22,e22) = e23
& op2(e22,e23) = e20
& op2(e22,e24) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e22
& op2(e23,e22) = e21
& op2(e23,e23) = e24
& op2(e23,e24) = e20
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e20
& op2(e24,e23) = e21
& op2(e24,e24) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
e12 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f12,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f14,plain,
e11 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f15,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f16,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f17,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
e23 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
e22 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f25,plain,
e21 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f28,plain,
e20 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
e20 != e21,
inference(cnf_transformation,[],[f2]) ).
fof(f55,plain,
e10 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f56,plain,
e12 = op1(e14,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f57,plain,
e11 = op1(e14,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f58,plain,
e13 = op1(e14,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f60,plain,
e11 = op1(e13,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f62,plain,
e10 = op1(e13,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f63,plain,
e12 = op1(e13,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f66,plain,
e11 = op1(e12,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f68,plain,
e10 = op1(e12,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f69,plain,
e12 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f70,plain,
e12 = op1(e11,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f71,plain,
e10 = op1(e11,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f72,plain,
e13 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f74,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f79,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f80,plain,
e22 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e21 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
e20 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
e23 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
e24 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
fof(f106,plain,
( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f107,plain,
( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f108,plain,
( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f109,plain,
( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) ),
inference(cnf_transformation,[],[f9]) ).
fof(f110,plain,
( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) ),
inference(cnf_transformation,[],[f9]) ).
fof(f111,plain,
( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f112,plain,
( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
fof(f113,plain,
( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
fof(f114,plain,
( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f115,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f116,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f117,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f118,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f119,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f120,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f121,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f122,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f123,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f124,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f125,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f126,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f127,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f128,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f129,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f176,definition,
( spl0_1
<=> e20 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f177,plain,
( e20 != h(e10)
| spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( e20 = h(e10)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl0_2
<=> e21 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f182,plain,
( e21 = h(e10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl0_3
<=> e22 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f185,plain,
( e22 != h(e10)
| spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f186,plain,
( e22 = h(e10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl0_4
<=> e23 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f190,plain,
( e23 = h(e10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl0_5
<=> e24 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f194,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f105,f192,f188,f184,f180,f176]) ).
fof(f197,definition,
( spl0_6
<=> e20 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f198,plain,
( e20 != h(e11)
| spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f199,plain,
( e20 = h(e11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl0_7
<=> e21 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f202,plain,
( e21 != h(e11)
| spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f203,plain,
( e21 = h(e11)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl0_8
<=> e22 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f207,plain,
( e22 = h(e11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_9
<=> e23 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f210,plain,
( e23 != h(e11)
| spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f211,plain,
( e23 = h(e11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_10
<=> e24 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f215,plain,
( e24 = h(e11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f106,f213,f209,f205,f201,f197]) ).
fof(f218,definition,
( spl0_11
<=> e20 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f219,plain,
( e20 != h(e12)
| spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( e20 = h(e12)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_12
<=> e21 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f223,plain,
( e21 != h(e12)
| spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f224,plain,
( e21 = h(e12)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl0_13
<=> e22 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f227,plain,
( e22 != h(e12)
| spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( e22 = h(e12)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl0_14
<=> e23 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f232,plain,
( e23 = h(e12)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl0_15
<=> e24 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f236,plain,
( e24 = h(e12)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f107,f234,f230,f226,f222,f218]) ).
fof(f239,definition,
( spl0_16
<=> e20 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f240,plain,
( e20 != h(e13)
| spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f241,plain,
( e20 = h(e13)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f243,definition,
( spl0_17
<=> e21 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f244,plain,
( e21 != h(e13)
| spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f245,plain,
( e21 = h(e13)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl0_18
<=> e22 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f248,plain,
( e22 != h(e13)
| spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f249,plain,
( e22 = h(e13)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl0_19
<=> e23 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f253,plain,
( e23 = h(e13)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_20
<=> e24 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f257,plain,
( e24 = h(e13)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f108,f255,f251,f247,f243,f239]) ).
fof(f260,definition,
( spl0_21
<=> e20 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f261,plain,
( e20 != h(e14)
| spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( e20 = h(e14)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl0_22
<=> e21 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f266,plain,
( e21 = h(e14)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_23
<=> e22 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f270,plain,
( e22 = h(e14)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_24
<=> e23 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f274,plain,
( e23 = h(e14)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl0_25
<=> e24 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f278,plain,
( e24 = h(e14)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f109,f276,f272,f268,f264,f260]) ).
fof(f281,definition,
( spl0_26
<=> e10 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f283,plain,
( e10 = j(e20)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl0_27
<=> e11 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f287,plain,
( e11 = j(e20)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f289,definition,
( spl0_28
<=> e12 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f291,plain,
( e12 = j(e20)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,definition,
( spl0_29
<=> e13 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f295,plain,
( e13 = j(e20)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl0_30
<=> e14 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f299,plain,
( e14 = j(e20)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f110,f297,f293,f289,f285,f281]) ).
fof(f302,definition,
( spl0_31
<=> e10 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f304,plain,
( e10 = j(e21)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl0_32
<=> e11 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f308,plain,
( e11 = j(e21)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl0_33
<=> e12 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f311,plain,
( e12 != j(e21)
| spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f312,plain,
( e12 = j(e21)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl0_34
<=> e13 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f316,plain,
( e13 = j(e21)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl0_35
<=> e14 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f320,plain,
( e14 = j(e21)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f111,f318,f314,f310,f306,f302]) ).
fof(f323,definition,
( spl0_36
<=> e10 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f325,plain,
( e10 = j(e22)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl0_37
<=> e11 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f329,plain,
( e11 = j(e22)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl0_38
<=> e12 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f333,plain,
( e12 = j(e22)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl0_39
<=> e13 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f337,plain,
( e13 = j(e22)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl0_40
<=> e14 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f341,plain,
( e14 = j(e22)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f112,f339,f335,f331,f327,f323]) ).
fof(f344,definition,
( spl0_41
<=> e10 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f346,plain,
( e10 = j(e23)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f348,definition,
( spl0_42
<=> e11 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f350,plain,
( e11 = j(e23)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f352,definition,
( spl0_43
<=> e12 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f354,plain,
( e12 = j(e23)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f356,definition,
( spl0_44
<=> e13 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f358,plain,
( e13 = j(e23)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl0_45
<=> e14 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f362,plain,
( e14 = j(e23)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f113,f360,f356,f352,f348,f344]) ).
fof(f365,definition,
( spl0_46
<=> e10 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f367,plain,
( e10 = j(e24)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl0_47
<=> e11 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f371,plain,
( e11 = j(e24)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f373,definition,
( spl0_48
<=> e12 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f375,plain,
( e12 = j(e24)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f377,definition,
( spl0_49
<=> e13 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f379,plain,
( e13 = j(e24)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f381,definition,
( spl0_50
<=> e14 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f383,plain,
( e14 = j(e24)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f384,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f114,f381,f377,f373,f369,f365]) ).
fof(f385,plain,
( e14 = j(e20)
| ~ spl0_21 ),
inference(superposition,[],[f115,f262]) ).
fof(f386,plain,
( e10 = e14
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f385,f283]) ).
fof(f387,plain,
( $false
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f386,f16]) ).
fof(f388,plain,
( ~ spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f390,plain,
( e14 = j(e21)
| ~ spl0_22 ),
inference(superposition,[],[f115,f266]) ).
fof(f391,plain,
( e10 = e14
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_demodulation,[],[f390,f304]) ).
fof(f392,plain,
( $false
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f391,f16]) ).
fof(f393,plain,
( ~ spl0_22
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f396,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f397,plain,
( e10 = e14
| ~ spl0_23
| ~ spl0_36 ),
inference(forward_demodulation,[],[f396,f325]) ).
fof(f398,plain,
( $false
| ~ spl0_23
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f397,f16]) ).
fof(f399,plain,
( ~ spl0_23
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f403,plain,
( e14 = j(e23)
| ~ spl0_24 ),
inference(superposition,[],[f115,f274]) ).
fof(f404,plain,
( e10 = e14
| ~ spl0_24
| ~ spl0_41 ),
inference(forward_demodulation,[],[f403,f346]) ).
fof(f405,plain,
( $false
| ~ spl0_24
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f404,f16]) ).
fof(f406,plain,
( ~ spl0_24
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f411,plain,
( e14 = j(e24)
| ~ spl0_25 ),
inference(superposition,[],[f115,f278]) ).
fof(f415,plain,
( spl0_30
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f385,f260,f297]) ).
fof(f417,plain,
( e11 = e14
| ~ spl0_27
| ~ spl0_30 ),
inference(forward_demodulation,[],[f299,f287]) ).
fof(f418,plain,
( $false
| ~ spl0_27
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f417,f13]) ).
fof(f419,plain,
( ~ spl0_27
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f426,plain,
( e13 = j(e20)
| ~ spl0_16 ),
inference(superposition,[],[f116,f241]) ).
fof(f427,plain,
( spl0_29
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f426,f239,f293]) ).
fof(f429,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(superposition,[],[f116,f245]) ).
fof(f430,plain,
( e10 = e13
| ~ spl0_17
| ~ spl0_31 ),
inference(forward_demodulation,[],[f429,f304]) ).
fof(f431,plain,
( $false
| ~ spl0_17
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f430,f17]) ).
fof(f432,plain,
( ~ spl0_17
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f435,plain,
( e13 = j(e22)
| ~ spl0_18 ),
inference(superposition,[],[f116,f249]) ).
fof(f436,plain,
( e10 = e13
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_demodulation,[],[f435,f325]) ).
fof(f437,plain,
( $false
| ~ spl0_18
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f436,f17]) ).
fof(f438,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f442,plain,
( e13 = j(e23)
| ~ spl0_19 ),
inference(superposition,[],[f116,f253]) ).
fof(f443,plain,
( e10 = e13
| ~ spl0_19
| ~ spl0_41 ),
inference(forward_demodulation,[],[f442,f346]) ).
fof(f444,plain,
( $false
| ~ spl0_19
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f443,f17]) ).
fof(f445,plain,
( ~ spl0_19
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f450,plain,
( e13 = j(e24)
| ~ spl0_20 ),
inference(superposition,[],[f116,f257]) ).
fof(f459,plain,
( e13 = e14
| ~ spl0_29
| ~ spl0_30 ),
inference(superposition,[],[f295,f299]) ).
fof(f465,plain,
( $false
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f459,f10]) ).
fof(f466,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f465]) ).
fof(f467,plain,
( spl0_35
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f390,f264,f318]) ).
fof(f470,plain,
( e12 = e14
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_demodulation,[],[f320,f312]) ).
fof(f471,plain,
( $false
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f470,f11]) ).
fof(f472,plain,
( ~ spl0_33
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f479,plain,
( e12 = j(e20)
| ~ spl0_11 ),
inference(superposition,[],[f117,f220]) ).
fof(f480,plain,
( spl0_28
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f479,f218,f289]) ).
fof(f482,plain,
( e12 = j(e22)
| ~ spl0_13 ),
inference(superposition,[],[f117,f228]) ).
fof(f488,plain,
( e12 = j(e23)
| ~ spl0_14 ),
inference(superposition,[],[f117,f232]) ).
fof(f489,plain,
( e10 = e12
| ~ spl0_14
| ~ spl0_41 ),
inference(forward_demodulation,[],[f488,f346]) ).
fof(f490,plain,
( $false
| ~ spl0_14
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f489,f18]) ).
fof(f491,plain,
( ~ spl0_14
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f493,plain,
( e11 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f118,f199]) ).
fof(f497,plain,
( e11 = j(e24)
| ~ spl0_10 ),
inference(superposition,[],[f118,f215]) ).
fof(f502,plain,
( e10 = j(e21)
| ~ spl0_2 ),
inference(superposition,[],[f119,f182]) ).
fof(f506,plain,
( e10 = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f119,f178]) ).
fof(f509,plain,
( e10 = e13
| ~ spl0_26
| ~ spl0_29 ),
inference(superposition,[],[f283,f295]) ).
fof(f514,plain,
( $false
| ~ spl0_26
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f509,f17]) ).
fof(f515,plain,
( ~ spl0_26
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f519,plain,
( e10 = j(e23)
| ~ spl0_4 ),
inference(superposition,[],[f119,f190]) ).
fof(f525,plain,
( e10 = j(e24)
| ~ spl0_5 ),
inference(superposition,[],[f119,f194]) ).
fof(f530,plain,
( e11 = j(e23)
| ~ spl0_9 ),
inference(superposition,[],[f118,f211]) ).
fof(f531,plain,
( spl0_42
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f530,f209,f348]) ).
fof(f535,plain,
( e11 = j(e21)
| ~ spl0_7 ),
inference(superposition,[],[f118,f203]) ).
fof(f536,plain,
( spl0_32
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f535,f201,f306]) ).
fof(f541,plain,
( e11 = j(e22)
| ~ spl0_8 ),
inference(superposition,[],[f118,f207]) ).
fof(f542,plain,
( e10 = e11
| ~ spl0_8
| ~ spl0_36 ),
inference(forward_demodulation,[],[f541,f325]) ).
fof(f543,plain,
( $false
| ~ spl0_8
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f542,f19]) ).
fof(f544,plain,
( ~ spl0_8
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f543]) ).
fof(f554,plain,
( e23 = h(e12)
| ~ spl0_43 ),
inference(superposition,[],[f121,f354]) ).
fof(f557,plain,
( e20 = h(e13)
| ~ spl0_29 ),
inference(superposition,[],[f124,f295]) ).
fof(f558,plain,
( op1(e10,e10) = j(op2(e24,e24))
| ~ spl0_46 ),
inference(superposition,[],[f125,f367]) ).
fof(f559,plain,
( op1(e10,e10) = j(e22)
| ~ spl0_46 ),
inference(forward_demodulation,[],[f558,f80]) ).
fof(f560,plain,
( e11 = op1(e10,e10)
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f559,f329]) ).
fof(f561,plain,
( e10 = e11
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_demodulation,[],[f560,f79]) ).
fof(f562,plain,
( $false
| ~ spl0_37
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f561,f19]) ).
fof(f563,plain,
( ~ spl0_37
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f566,plain,
( e13 = op1(e10,e10)
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f559,f337]) ).
fof(f567,plain,
( e10 = e13
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_demodulation,[],[f566,f79]) ).
fof(f568,plain,
( $false
| ~ spl0_39
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f567,f17]) ).
fof(f569,plain,
( ~ spl0_39
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f568]) ).
fof(f572,plain,
( e12 = op1(e10,e10)
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f559,f333]) ).
fof(f575,plain,
( e10 = e12
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_demodulation,[],[f572,f79]) ).
fof(f576,plain,
( $false
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f575,f18]) ).
fof(f577,plain,
( ~ spl0_38
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f578,plain,
( spl0_41
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f519,f188,f344]) ).
fof(f582,plain,
( e21 = e23
| ~ spl0_12
| ~ spl0_43 ),
inference(forward_demodulation,[],[f554,f224]) ).
fof(f584,plain,
( $false
| ~ spl0_12
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f582,f24]) ).
fof(f585,plain,
( ~ spl0_12
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f584]) ).
fof(f587,plain,
( spl0_14
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f554,f352,f230]) ).
fof(f596,plain,
( e12 = j(e24)
| ~ spl0_15 ),
inference(superposition,[],[f117,f236]) ).
fof(f597,plain,
( e11 = e14
| ~ spl0_32
| ~ spl0_35 ),
inference(superposition,[],[f308,f320]) ).
fof(f604,plain,
( $false
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f597,f13]) ).
fof(f605,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f604]) ).
fof(f606,plain,
( spl0_47
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f497,f213,f369]) ).
fof(f610,plain,
( spl0_27
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f493,f197,f285]) ).
fof(f616,plain,
( e11 = e13
| ~ spl0_27
| ~ spl0_29 ),
inference(superposition,[],[f287,f295]) ).
fof(f621,plain,
( $false
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f616,f14]) ).
fof(f622,plain,
( ~ spl0_27
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f623,plain,
( e10 = e11
| ~ spl0_9
| ~ spl0_41 ),
inference(forward_demodulation,[],[f530,f346]) ).
fof(f628,plain,
( $false
| ~ spl0_9
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f623,f19]) ).
fof(f629,plain,
( ~ spl0_9
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f636,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f119,f186]) ).
fof(f642,plain,
( e22 = h(e10)
| ~ spl0_36 ),
inference(superposition,[],[f122,f325]) ).
fof(f647,plain,
( e22 = h(e12)
| ~ spl0_38 ),
inference(superposition,[],[f122,f333]) ).
fof(f648,plain,
( $false
| spl0_13
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f647,f227]) ).
fof(f649,plain,
( spl0_13
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f661,plain,
( e24 = h(e12)
| ~ spl0_48 ),
inference(superposition,[],[f120,f375]) ).
fof(f664,plain,
( j(op2(e24,e23)) = op1(e12,j(e23))
| ~ spl0_48 ),
inference(superposition,[],[f126,f375]) ).
fof(f667,plain,
( op1(e12,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f664,f350]) ).
fof(f669,plain,
( op1(e12,e11) = j(e21)
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f667,f81]) ).
fof(f671,plain,
( e14 = op1(e12,e11)
| ~ spl0_35
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f669,f320]) ).
fof(f673,plain,
( e10 = e14
| ~ spl0_35
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f671,f68]) ).
fof(f676,plain,
( $false
| ~ spl0_35
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f673,f16]) ).
fof(f677,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f676]) ).
fof(f678,plain,
( spl0_46
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f525,f192,f365]) ).
fof(f695,plain,
( spl0_43
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f488,f230,f352]) ).
fof(f697,plain,
( spl0_39
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f435,f247,f335]) ).
fof(f709,plain,
( spl0_38
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f482,f226,f331]) ).
fof(f711,plain,
( spl0_44
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f442,f251,f356]) ).
fof(f713,plain,
( e11 = e12
| ~ spl0_11
| ~ spl0_27 ),
inference(forward_demodulation,[],[f479,f287]) ).
fof(f718,plain,
( $false
| ~ spl0_11
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f713,f15]) ).
fof(f719,plain,
( ~ spl0_11
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f718]) ).
fof(f732,plain,
( e12 = j(e21)
| ~ spl0_12 ),
inference(superposition,[],[f117,f224]) ).
fof(f733,plain,
( $false
| ~ spl0_12
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f732,f311]) ).
fof(f734,plain,
( ~ spl0_12
| spl0_33 ),
inference(avatar_contradiction_clause,[],[f733]) ).
fof(f735,plain,
( spl0_34
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f429,f243,f314]) ).
fof(f747,plain,
( e13 = e14
| ~ spl0_34
| ~ spl0_35 ),
inference(superposition,[],[f316,f320]) ).
fof(f748,plain,
( e21 = h(e13)
| ~ spl0_34 ),
inference(superposition,[],[f123,f316]) ).
fof(f754,plain,
( $false
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f747,f10]) ).
fof(f755,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f754]) ).
fof(f762,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f790,plain,
( e20 = h(e12)
| ~ spl0_28 ),
inference(superposition,[],[f124,f291]) ).
fof(f806,plain,
( e11 = e13
| ~ spl0_32
| ~ spl0_34 ),
inference(superposition,[],[f308,f316]) ).
fof(f813,plain,
( $false
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f806,f14]) ).
fof(f814,plain,
( ~ spl0_32
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f813]) ).
fof(f816,plain,
( spl0_33
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f732,f222,f310]) ).
fof(f834,plain,
( e21 = h(e12)
| ~ spl0_33 ),
inference(superposition,[],[f123,f312]) ).
fof(f850,plain,
( e23 = h(e13)
| ~ spl0_44 ),
inference(superposition,[],[f121,f358]) ).
fof(f872,plain,
( op1(e10,e10) = j(op2(e24,e24))
| ~ spl0_46 ),
inference(superposition,[],[f125,f367]) ).
fof(f873,plain,
( e24 = h(e10)
| ~ spl0_46 ),
inference(superposition,[],[f120,f367]) ).
fof(f874,plain,
( op1(e10,e10) = j(e22)
| ~ spl0_46 ),
inference(forward_demodulation,[],[f872,f80]) ).
fof(f876,plain,
( e14 = op1(e10,e10)
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f874,f341]) ).
fof(f878,plain,
( e10 = e14
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_demodulation,[],[f876,f79]) ).
fof(f880,plain,
( $false
| ~ spl0_40
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f878,f16]) ).
fof(f881,plain,
( ~ spl0_40
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f880]) ).
fof(f883,plain,
( $false
| spl0_3
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f642,f185]) ).
fof(f884,plain,
( spl0_3
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f883]) ).
fof(f912,plain,
( e22 = e24
| ~ spl0_3
| ~ spl0_46 ),
inference(forward_demodulation,[],[f873,f186]) ).
fof(f915,plain,
( $false
| ~ spl0_3
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f912,f21]) ).
fof(f916,plain,
( ~ spl0_3
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f915]) ).
fof(f917,plain,
( spl0_31
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f502,f180,f302]) ).
fof(f940,plain,
( e20 = h(e14)
| ~ spl0_30 ),
inference(superposition,[],[f124,f299]) ).
fof(f941,plain,
( e10 = e12
| ~ spl0_31
| ~ spl0_33 ),
inference(superposition,[],[f304,f312]) ).
fof(f943,plain,
( e21 = h(e10)
| ~ spl0_31 ),
inference(superposition,[],[f123,f304]) ).
fof(f946,plain,
( $false
| ~ spl0_31
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f941,f18]) ).
fof(f947,plain,
( ~ spl0_31
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f946]) ).
fof(f948,plain,
( spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f506,f176,f281]) ).
fof(f951,plain,
( e13 = e14
| ~ spl0_23
| ~ spl0_39 ),
inference(forward_demodulation,[],[f762,f337]) ).
fof(f955,plain,
( $false
| spl0_21
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f940,f261]) ).
fof(f956,plain,
( spl0_21
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f955]) ).
fof(f962,plain,
( $false
| ~ spl0_23
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f951,f10]) ).
fof(f963,plain,
( ~ spl0_23
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f962]) ).
fof(f971,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f973,plain,
( e20 = h(e10)
| ~ spl0_26 ),
inference(superposition,[],[f124,f283]) ).
fof(f974,plain,
( e11 = e12
| ~ spl0_32
| ~ spl0_33 ),
inference(superposition,[],[f308,f312]) ).
fof(f979,plain,
( $false
| ~ spl0_32
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f974,f15]) ).
fof(f980,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f979]) ).
fof(f990,plain,
( e22 = h(e14)
| ~ spl0_40 ),
inference(superposition,[],[f122,f341]) ).
fof(f992,plain,
( j(op2(e24,e23)) = op1(e11,j(e23))
| ~ spl0_47 ),
inference(superposition,[],[f126,f371]) ).
fof(f996,plain,
( op1(e11,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f992,f358]) ).
fof(f998,plain,
( op1(e11,e13) = j(e21)
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f996,f81]) ).
fof(f999,plain,
( e12 = op1(e11,e13)
| ~ spl0_33
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f998,f312]) ).
fof(f1000,plain,
( e10 = e12
| ~ spl0_33
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f999,f71]) ).
fof(f1001,plain,
( $false
| ~ spl0_33
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1000,f18]) ).
fof(f1002,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1001]) ).
fof(f1036,plain,
( e23 = h(e10)
| ~ spl0_41 ),
inference(superposition,[],[f121,f346]) ).
fof(f1037,plain,
( e20 = e23
| ~ spl0_1
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1036,f178]) ).
fof(f1039,plain,
( $false
| ~ spl0_1
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1037,f27]) ).
fof(f1040,plain,
( ~ spl0_1
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1039]) ).
fof(f1046,plain,
( $false
| spl0_1
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f973,f177]) ).
fof(f1047,plain,
( spl0_1
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1046]) ).
fof(f1048,plain,
( $false
| spl0_11
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f790,f219]) ).
fof(f1049,plain,
( spl0_11
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1048]) ).
fof(f1052,plain,
( $false
| spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f557,f240]) ).
fof(f1053,plain,
( spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1052]) ).
fof(f1070,plain,
( spl0_45
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f403,f272,f360]) ).
fof(f1097,plain,
( e22 = h(e13)
| ~ spl0_39 ),
inference(superposition,[],[f122,f337]) ).
fof(f1098,plain,
( $false
| spl0_18
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1097,f248]) ).
fof(f1099,plain,
( spl0_18
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1098]) ).
fof(f1101,plain,
( spl0_40
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f396,f268,f339]) ).
fof(f1104,plain,
( e20 = e22
| ~ spl0_21
| ~ spl0_40 ),
inference(forward_demodulation,[],[f990,f262]) ).
fof(f1118,plain,
( $false
| ~ spl0_21
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1104,f28]) ).
fof(f1119,plain,
( ~ spl0_21
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1118]) ).
fof(f1147,plain,
( e14 = j(e23)
| ~ spl0_24 ),
inference(superposition,[],[f115,f274]) ).
fof(f1155,plain,
( j(op2(e24,e23)) = op1(j(e24),e14)
| ~ spl0_45 ),
inference(superposition,[],[f126,f362]) ).
fof(f1157,plain,
( op1(e13,e14) = j(op2(e24,e23))
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1155,f379]) ).
fof(f1158,plain,
( op1(e13,e14) = j(e21)
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1157,f81]) ).
fof(f1159,plain,
( e12 = op1(e13,e14)
| ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1158,f312]) ).
fof(f1160,plain,
( e11 = e12
| ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1159,f60]) ).
fof(f1161,plain,
( $false
| ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1160,f15]) ).
fof(f1162,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1161]) ).
fof(f1169,plain,
( j(op2(e24,e23)) = op1(e11,j(e23))
| ~ spl0_47 ),
inference(superposition,[],[f126,f371]) ).
fof(f1171,plain,
( e24 = h(e11)
| ~ spl0_47 ),
inference(superposition,[],[f120,f371]) ).
fof(f1177,plain,
( j(op2(e24,e22)) = op1(e11,j(e22))
| ~ spl0_47 ),
inference(superposition,[],[f127,f371]) ).
fof(f1178,plain,
( j(op2(e24,e22)) = op1(j(e24),e13)
| ~ spl0_39 ),
inference(superposition,[],[f127,f337]) ).
fof(f1180,plain,
( op1(e11,e13) = j(op2(e24,e22))
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1177,f337]) ).
fof(f1182,plain,
( op1(e11,e13) = j(e20)
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1180,f82]) ).
fof(f1185,plain,
( j(op2(e24,e21)) = op1(e11,j(e21))
| ~ spl0_47 ),
inference(superposition,[],[f128,f371]) ).
fof(f1188,plain,
( op1(e11,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1185,f312]) ).
fof(f1190,plain,
( op1(e11,e12) = j(e23)
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1188,f83]) ).
fof(f1192,plain,
( e14 = op1(e11,e12)
| ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1190,f362]) ).
fof(f1194,plain,
( e13 = e14
| ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1192,f72]) ).
fof(f1197,plain,
( $false
| ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1194,f10]) ).
fof(f1198,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1197]) ).
fof(f1204,plain,
( op1(e11,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1169,f346]) ).
fof(f1210,plain,
( e12 = op1(e11,e13)
| ~ spl0_28
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1182,f291]) ).
fof(f1216,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1204,f81]) ).
fof(f1218,plain,
( e10 = e12
| ~ spl0_28
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1210,f71]) ).
fof(f1219,plain,
( e12 = op1(e11,e10)
| ~ spl0_33
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1216,f312]) ).
fof(f1222,plain,
( $false
| ~ spl0_28
| ~ spl0_39
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1218,f18]) ).
fof(f1223,plain,
( ~ spl0_28
| ~ spl0_39
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1222]) ).
fof(f1224,plain,
( e11 = e12
| ~ spl0_33
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1219,f74]) ).
fof(f1225,plain,
( $false
| ~ spl0_33
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1224,f15]) ).
fof(f1226,plain,
( ~ spl0_33
| ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1225]) ).
fof(f1227,plain,
( spl0_37
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f541,f205,f327]) ).
fof(f1229,plain,
( e21 = e24
| ~ spl0_12
| ~ spl0_48 ),
inference(forward_demodulation,[],[f661,f224]) ).
fof(f1231,plain,
( op1(e12,e13) = j(op2(e24,e22))
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1178,f375]) ).
fof(f1234,plain,
( $false
| ~ spl0_12
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1229,f23]) ).
fof(f1235,plain,
( ~ spl0_12
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1234]) ).
fof(f1236,plain,
( op1(e12,e13) = j(e20)
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1231,f82]) ).
fof(f1240,plain,
( e12 = op1(e12,e13)
| ~ spl0_28
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1236,f291]) ).
fof(f1242,plain,
( e11 = e12
| ~ spl0_28
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1240,f66]) ).
fof(f1243,plain,
( $false
| ~ spl0_28
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1242,f15]) ).
fof(f1244,plain,
( ~ spl0_28
| ~ spl0_39
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1243]) ).
fof(f1247,plain,
( e13 = e14
| ~ spl0_25
| ~ spl0_49 ),
inference(forward_demodulation,[],[f411,f379]) ).
fof(f1250,plain,
( $false
| ~ spl0_25
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1247,f10]) ).
fof(f1251,plain,
( ~ spl0_25
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1250]) ).
fof(f1268,plain,
( e12 = j(e20)
| ~ spl0_11 ),
inference(superposition,[],[f117,f220]) ).
fof(f1277,plain,
( e20 = e21
| ~ spl0_11
| ~ spl0_33 ),
inference(forward_demodulation,[],[f834,f220]) ).
fof(f1278,plain,
( $false
| ~ spl0_11
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f1277,f29]) ).
fof(f1279,plain,
( ~ spl0_11
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f1278]) ).
fof(f1298,plain,
( e11 = e12
| ~ spl0_13
| ~ spl0_37 ),
inference(forward_demodulation,[],[f482,f329]) ).
fof(f1301,plain,
( e22 = e24
| ~ spl0_13
| ~ spl0_48 ),
inference(forward_demodulation,[],[f661,f228]) ).
fof(f1307,plain,
( $false
| spl0_12
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f834,f223]) ).
fof(f1308,plain,
( spl0_12
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f1307]) ).
fof(f1309,plain,
( $false
| ~ spl0_13
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1298,f15]) ).
fof(f1310,plain,
( ~ spl0_13
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1309]) ).
fof(f1313,plain,
( $false
| ~ spl0_13
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1301,f21]) ).
fof(f1314,plain,
( ~ spl0_13
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1313]) ).
fof(f1351,plain,
( e11 = e13
| ~ spl0_37
| ~ spl0_39 ),
inference(superposition,[],[f329,f337]) ).
fof(f1352,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f1359,plain,
( $false
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1351,f14]) ).
fof(f1360,plain,
( ~ spl0_37
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1359]) ).
fof(f1366,plain,
( spl0_49
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f450,f255,f377]) ).
fof(f1402,plain,
( op1(e14,e14) = j(op2(e24,e24))
| ~ spl0_50 ),
inference(superposition,[],[f125,f383]) ).
fof(f1413,plain,
( op1(e14,e14) = j(e22)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1402,f80]) ).
fof(f1417,plain,
( e11 = op1(e14,e14)
| ~ spl0_37
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1413,f329]) ).
fof(f1421,plain,
( e10 = e11
| ~ spl0_37
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1417,f55]) ).
fof(f1422,plain,
( $false
| ~ spl0_37
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1421,f19]) ).
fof(f1423,plain,
( ~ spl0_37
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1422]) ).
fof(f1426,plain,
( e11 = e14
| ~ spl0_23
| ~ spl0_37 ),
inference(forward_demodulation,[],[f971,f329]) ).
fof(f1431,plain,
( op1(e13,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1352,f379]) ).
fof(f1438,plain,
( $false
| ~ spl0_23
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1426,f13]) ).
fof(f1439,plain,
( ~ spl0_23
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1438]) ).
fof(f1443,plain,
( op1(e13,e11) = j(e20)
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1431,f82]) ).
fof(f1446,plain,
( e13 = op1(e13,e11)
| ~ spl0_29
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1443,f295]) ).
fof(f1448,plain,
( e12 = e13
| ~ spl0_29
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1446,f63]) ).
fof(f1449,plain,
( $false
| ~ spl0_29
| ~ spl0_37
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1448,f12]) ).
fof(f1450,plain,
( ~ spl0_29
| ~ spl0_37
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1449]) ).
fof(f1452,plain,
( spl0_50
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f411,f276,f381]) ).
fof(f1488,plain,
( op1(e14,e14) = j(op2(e24,e24))
| ~ spl0_50 ),
inference(superposition,[],[f125,f383]) ).
fof(f1499,plain,
( op1(e14,e14) = j(e22)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1488,f80]) ).
fof(f1503,plain,
( e13 = op1(e14,e14)
| ~ spl0_39
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1499,f337]) ).
fof(f1507,plain,
( e10 = e13
| ~ spl0_39
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1503,f55]) ).
fof(f1508,plain,
( $false
| ~ spl0_39
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1507,f17]) ).
fof(f1509,plain,
( ~ spl0_39
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1508]) ).
fof(f1510,plain,
( spl0_36
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f636,f184,f323]) ).
fof(f1548,plain,
( e22 = h(e10)
| ~ spl0_36 ),
inference(superposition,[],[f122,f325]) ).
fof(f1553,plain,
( j(op2(e24,e23)) = op1(j(e24),e11)
| ~ spl0_42 ),
inference(superposition,[],[f126,f350]) ).
fof(f1554,plain,
( e23 = h(e11)
| ~ spl0_42 ),
inference(superposition,[],[f121,f350]) ).
fof(f1558,plain,
( j(op2(e24,e20)) = op1(e14,j(e20))
| ~ spl0_50 ),
inference(superposition,[],[f129,f383]) ).
fof(f1561,plain,
( op1(e14,e13) = j(op2(e24,e20))
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1558,f295]) ).
fof(f1563,plain,
( op1(e14,e13) = j(e24)
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1561,f84]) ).
fof(f1565,plain,
( e14 = op1(e14,e13)
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1563,f383]) ).
fof(f1567,plain,
( e12 = e14
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1565,f56]) ).
fof(f1570,plain,
( $false
| ~ spl0_29
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1567,f11]) ).
fof(f1571,plain,
( ~ spl0_29
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1570]) ).
fof(f1578,plain,
( e14 = op1(e14,e14)
| ~ spl0_40
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1499,f341]) ).
fof(f1590,plain,
( e10 = e14
| ~ spl0_40
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1578,f55]) ).
fof(f1597,plain,
( $false
| ~ spl0_40
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1590,f16]) ).
fof(f1598,plain,
( ~ spl0_40
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1597]) ).
fof(f1608,plain,
( op1(e14,e14) = j(op2(e24,e20))
| ~ spl0_30
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1558,f299]) ).
fof(f1617,plain,
( op1(e14,e14) = j(e24)
| ~ spl0_30
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1608,f84]) ).
fof(f1623,plain,
( e14 = op1(e14,e14)
| ~ spl0_30
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1617,f383]) ).
fof(f1624,plain,
( e10 = e14
| ~ spl0_30
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1623,f55]) ).
fof(f1625,plain,
( $false
| ~ spl0_30
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1624,f16]) ).
fof(f1626,plain,
( ~ spl0_30
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1625]) ).
fof(f1636,plain,
( op1(e14,e12) = j(op2(e24,e20))
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1558,f291]) ).
fof(f1649,plain,
( op1(e14,e12) = j(e24)
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1636,f84]) ).
fof(f1659,plain,
( e14 = op1(e14,e12)
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1649,f383]) ).
fof(f1661,plain,
( e11 = e14
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1659,f57]) ).
fof(f1664,plain,
( $false
| ~ spl0_28
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1661,f13]) ).
fof(f1665,plain,
( ~ spl0_28
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1664]) ).
fof(f1670,plain,
( e11 = e14
| ~ spl0_24
| ~ spl0_42 ),
inference(forward_demodulation,[],[f1147,f350]) ).
fof(f1672,plain,
( e20 = e21
| ~ spl0_1
| ~ spl0_31 ),
inference(forward_demodulation,[],[f943,f178]) ).
fof(f1695,plain,
( $false
| ~ spl0_24
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1670,f13]) ).
fof(f1696,plain,
( ~ spl0_24
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f1695]) ).
fof(f1697,plain,
( $false
| ~ spl0_1
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f1672,f29]) ).
fof(f1698,plain,
( ~ spl0_1
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f1697]) ).
fof(f1714,plain,
( e10 = e12
| ~ spl0_11
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1268,f283]) ).
fof(f1720,plain,
( op1(e13,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1553,f379]) ).
fof(f1732,plain,
( $false
| ~ spl0_11
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1714,f18]) ).
fof(f1733,plain,
( ~ spl0_11
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1732]) ).
fof(f1736,plain,
( op1(e13,e11) = j(e21)
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1720,f81]) ).
fof(f1737,plain,
( e14 = op1(e13,e11)
| ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1736,f320]) ).
fof(f1738,plain,
( e12 = e14
| ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1737,f63]) ).
fof(f1739,plain,
( $false
| ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1738,f11]) ).
fof(f1740,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1739]) ).
fof(f1772,plain,
( j(op2(e24,e20)) = op1(j(e24),e11)
| ~ spl0_27 ),
inference(superposition,[],[f129,f287]) ).
fof(f1774,plain,
( op1(e13,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1772,f379]) ).
fof(f1775,plain,
( op1(e13,e11) = j(e24)
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1774,f84]) ).
fof(f1776,plain,
( e13 = op1(e13,e11)
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1775,f379]) ).
fof(f1777,plain,
( e12 = e13
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1776,f63]) ).
fof(f1778,plain,
( $false
| ~ spl0_27
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1777,f12]) ).
fof(f1779,plain,
( ~ spl0_27
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1778]) ).
fof(f1797,plain,
( j(op2(e24,e20)) = op1(j(e24),e12)
| ~ spl0_28 ),
inference(superposition,[],[f129,f291]) ).
fof(f1799,plain,
( op1(e13,e12) = j(op2(e24,e20))
| ~ spl0_28
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1797,f379]) ).
fof(f1800,plain,
( op1(e13,e12) = j(e24)
| ~ spl0_28
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1799,f84]) ).
fof(f1801,plain,
( e13 = op1(e13,e12)
| ~ spl0_28
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1800,f379]) ).
fof(f1802,plain,
( e10 = e13
| ~ spl0_28
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1801,f62]) ).
fof(f1803,plain,
( $false
| ~ spl0_28
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1802,f17]) ).
fof(f1804,plain,
( ~ spl0_28
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1803]) ).
fof(f1829,plain,
( j(op2(e24,e21)) = op1(j(e24),e14)
| ~ spl0_35 ),
inference(superposition,[],[f128,f320]) ).
fof(f1831,plain,
( op1(e13,e14) = j(op2(e24,e21))
| ~ spl0_35
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1829,f379]) ).
fof(f1832,plain,
( op1(e13,e14) = j(e23)
| ~ spl0_35
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1831,f83]) ).
fof(f1833,plain,
( e12 = op1(e13,e14)
| ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1832,f354]) ).
fof(f1834,plain,
( e11 = e12
| ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f1833,f60]) ).
fof(f1835,plain,
( $false
| ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1834,f15]) ).
fof(f1836,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1835]) ).
fof(f1837,plain,
( spl0_48
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f596,f234,f373]) ).
fof(f1860,plain,
( e12 = j(e24)
| ~ spl0_15 ),
inference(superposition,[],[f117,f236]) ).
fof(f1872,plain,
( j(op2(e24,e23)) = op1(j(e24),e13)
| ~ spl0_44 ),
inference(superposition,[],[f126,f358]) ).
fof(f1874,plain,
( op1(e12,e13) = j(op2(e24,e23))
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1872,f375]) ).
fof(f1875,plain,
( op1(e12,e13) = j(e21)
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1874,f81]) ).
fof(f1876,plain,
( e14 = op1(e12,e13)
| ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1875,f320]) ).
fof(f1877,plain,
( e11 = e14
| ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1876,f66]) ).
fof(f1878,plain,
( $false
| ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1877,f13]) ).
fof(f1879,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1878]) ).
fof(f1909,plain,
( e11 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f118,f199]) ).
fof(f1914,plain,
( j(op2(e24,e20)) = op1(j(e24),e11)
| ~ spl0_27 ),
inference(superposition,[],[f129,f287]) ).
fof(f1915,plain,
( e20 = h(e11)
| ~ spl0_27 ),
inference(superposition,[],[f124,f287]) ).
fof(f1916,plain,
( op1(e12,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1914,f375]) ).
fof(f1917,plain,
( op1(e12,e11) = j(e24)
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1916,f84]) ).
fof(f1918,plain,
( e12 = op1(e12,e11)
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1917,f375]) ).
fof(f1919,plain,
( e10 = e12
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1918,f68]) ).
fof(f1920,plain,
( $false
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1919,f18]) ).
fof(f1921,plain,
( ~ spl0_27
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1920]) ).
fof(f1952,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f1953,plain,
( e21 = h(e11)
| ~ spl0_32 ),
inference(superposition,[],[f123,f308]) ).
fof(f1954,plain,
( op1(e12,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1952,f375]) ).
fof(f1955,plain,
( op1(e12,e11) = j(e23)
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1954,f83]) ).
fof(f1956,plain,
( e14 = op1(e12,e11)
| ~ spl0_32
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1955,f362]) ).
fof(f1957,plain,
( e10 = e14
| ~ spl0_32
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1956,f68]) ).
fof(f1958,plain,
( $false
| ~ spl0_32
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1957,f16]) ).
fof(f1959,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1958]) ).
fof(f1963,plain,
( e13 = op1(e12,e11)
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1955,f358]) ).
fof(f1967,plain,
( e10 = e13
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1963,f68]) ).
fof(f1968,plain,
( $false
| ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1967,f17]) ).
fof(f1969,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1968]) ).
fof(f1974,plain,
( e12 = e13
| ~ spl0_48
| ~ spl0_49 ),
inference(forward_demodulation,[],[f379,f375]) ).
fof(f1984,plain,
( $false
| ~ spl0_48
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1974,f12]) ).
fof(f1985,plain,
( ~ spl0_48
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1984]) ).
fof(f2024,plain,
( j(op2(e24,e22)) = op1(j(e24),e13)
| ~ spl0_39 ),
inference(superposition,[],[f127,f337]) ).
fof(f2026,plain,
( op1(e12,e13) = j(op2(e24,e22))
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2024,f375]) ).
fof(f2027,plain,
( op1(e12,e13) = j(e20)
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2026,f82]) ).
fof(f2028,plain,
( e14 = op1(e12,e13)
| ~ spl0_30
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2027,f299]) ).
fof(f2029,plain,
( e11 = e14
| ~ spl0_30
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2028,f66]) ).
fof(f2030,plain,
( $false
| ~ spl0_30
| ~ spl0_39
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2029,f13]) ).
fof(f2031,plain,
( ~ spl0_30
| ~ spl0_39
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2030]) ).
fof(f2063,plain,
( e14 = j(e22)
| ~ spl0_23 ),
inference(superposition,[],[f115,f270]) ).
fof(f2078,plain,
( j(op2(e24,e23)) = op1(j(e24),e12)
| ~ spl0_43 ),
inference(superposition,[],[f126,f354]) ).
fof(f2080,plain,
( op1(e13,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2078,f379]) ).
fof(f2081,plain,
( op1(e13,e12) = j(e21)
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2080,f81]) ).
fof(f2082,plain,
( e11 = op1(e13,e12)
| ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2081,f308]) ).
fof(f2083,plain,
( e10 = e11
| ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2082,f62]) ).
fof(f2084,plain,
( $false
| ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2083,f19]) ).
fof(f2085,plain,
( ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2084]) ).
fof(f2086,plain,
( $false
| spl0_17
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f748,f244]) ).
fof(f2087,plain,
( spl0_17
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f2086]) ).
fof(f2089,plain,
( e13 = op1(e13,e12)
| ~ spl0_34
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2081,f316]) ).
fof(f2092,plain,
( e10 = e13
| ~ spl0_34
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2089,f62]) ).
fof(f2093,plain,
( $false
| ~ spl0_34
| ~ spl0_43
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2092,f17]) ).
fof(f2094,plain,
( ~ spl0_34
| ~ spl0_43
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2093]) ).
fof(f2097,plain,
( e21 = e23
| ~ spl0_17
| ~ spl0_44 ),
inference(forward_demodulation,[],[f850,f245]) ).
fof(f2105,plain,
( $false
| ~ spl0_17
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f2097,f24]) ).
fof(f2106,plain,
( ~ spl0_17
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f2105]) ).
fof(f2116,plain,
( $false
| spl0_7
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1953,f202]) ).
fof(f2117,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f2116]) ).
fof(f2132,plain,
( e21 = e24
| ~ spl0_7
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1171,f203]) ).
fof(f2137,plain,
( $false
| ~ spl0_7
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2132,f23]) ).
fof(f2138,plain,
( ~ spl0_7
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2137]) ).
fof(f2224,plain,
( j(op2(e24,e21)) = op1(j(e24),e11)
| ~ spl0_32 ),
inference(superposition,[],[f128,f308]) ).
fof(f2226,plain,
( op1(e13,e11) = j(op2(e24,e21))
| ~ spl0_32
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2224,f379]) ).
fof(f2227,plain,
( op1(e13,e11) = j(e23)
| ~ spl0_32
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2226,f83]) ).
fof(f2228,plain,
( e14 = op1(e13,e11)
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2227,f362]) ).
fof(f2229,plain,
( e12 = e14
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2228,f63]) ).
fof(f2230,plain,
( $false
| ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2229,f11]) ).
fof(f2231,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2230]) ).
fof(f2278,plain,
( e12 = e14
| ~ spl0_23
| ~ spl0_38 ),
inference(forward_demodulation,[],[f2063,f333]) ).
fof(f2294,plain,
( $false
| ~ spl0_23
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f2278,f11]) ).
fof(f2295,plain,
( ~ spl0_23
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f2294]) ).
fof(f2325,plain,
( j(op2(e24,e21)) = op1(j(e24),e12)
| ~ spl0_33 ),
inference(superposition,[],[f128,f312]) ).
fof(f2327,plain,
( op1(e13,e12) = j(op2(e24,e21))
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2325,f379]) ).
fof(f2328,plain,
( op1(e13,e12) = j(e23)
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2327,f83]) ).
fof(f2329,plain,
( e11 = op1(e13,e12)
| ~ spl0_33
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2328,f350]) ).
fof(f2330,plain,
( e10 = e11
| ~ spl0_33
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2329,f62]) ).
fof(f2331,plain,
( $false
| ~ spl0_33
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2330,f19]) ).
fof(f2332,plain,
( ~ spl0_33
| ~ spl0_42
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2331]) ).
fof(f2334,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f943,f302,f180]) ).
fof(f2382,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f2388,plain,
( j(op2(e24,e22)) = op1(j(e24),e14)
| ~ spl0_40 ),
inference(superposition,[],[f127,f341]) ).
fof(f2393,plain,
( op1(e13,e14) = j(op2(e24,e22))
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2388,f379]) ).
fof(f2394,plain,
( op1(e13,e14) = j(e20)
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2393,f82]) ).
fof(f2395,plain,
( e13 = op1(e13,e14)
| ~ spl0_29
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2394,f295]) ).
fof(f2396,plain,
( e11 = e13
| ~ spl0_29
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2395,f60]) ).
fof(f2397,plain,
( $false
| ~ spl0_29
| ~ spl0_40
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2396,f14]) ).
fof(f2398,plain,
( ~ spl0_29
| ~ spl0_40
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2397]) ).
fof(f2414,plain,
( j(op2(e24,e20)) = op1(j(e24),e14)
| ~ spl0_30 ),
inference(superposition,[],[f129,f299]) ).
fof(f2416,plain,
( op1(e13,e14) = j(op2(e24,e20))
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2414,f379]) ).
fof(f2417,plain,
( op1(e13,e14) = j(e24)
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2416,f84]) ).
fof(f2418,plain,
( e13 = op1(e13,e14)
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2417,f379]) ).
fof(f2419,plain,
( e11 = e13
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2418,f60]) ).
fof(f2420,plain,
( $false
| ~ spl0_30
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2419,f14]) ).
fof(f2421,plain,
( ~ spl0_30
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2420]) ).
fof(f2424,plain,
( op1(e11,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2382,f371]) ).
fof(f2426,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2424,f83]) ).
fof(f2428,plain,
( e12 = op1(e11,e10)
| ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2426,f354]) ).
fof(f2430,plain,
( e11 = e12
| ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2428,f74]) ).
fof(f2431,plain,
( $false
| ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2430,f15]) ).
fof(f2432,plain,
( ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2431]) ).
fof(f2449,plain,
( j(op2(e24,e21)) = op1(j(e24),e13)
| ~ spl0_34 ),
inference(superposition,[],[f128,f316]) ).
fof(f2451,plain,
( op1(e11,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2449,f371]) ).
fof(f2452,plain,
( op1(e11,e13) = j(e23)
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2451,f83]) ).
fof(f2453,plain,
( e12 = op1(e11,e13)
| ~ spl0_34
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2452,f354]) ).
fof(f2454,plain,
( e10 = e12
| ~ spl0_34
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2453,f71]) ).
fof(f2455,plain,
( $false
| ~ spl0_34
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2454,f18]) ).
fof(f2456,plain,
( ~ spl0_34
| ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2455]) ).
fof(f2458,plain,
( e23 = e24
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_demodulation,[],[f661,f232]) ).
fof(f2464,plain,
( $false
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2458,f20]) ).
fof(f2465,plain,
( ~ spl0_14
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2464]) ).
fof(f2476,plain,
( e23 = e24
| ~ spl0_9
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1171,f211]) ).
fof(f2494,plain,
( $false
| ~ spl0_9
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2476,f20]) ).
fof(f2495,plain,
( ~ spl0_9
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2494]) ).
fof(f2502,plain,
( $false
| spl0_9
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1554,f210]) ).
fof(f2503,plain,
( spl0_9
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f2502]) ).
fof(f2540,plain,
( j(op2(e24,e23)) = op1(j(e24),e12)
| ~ spl0_43 ),
inference(superposition,[],[f126,f354]) ).
fof(f2542,plain,
( op1(e11,e12) = j(op2(e24,e23))
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2540,f371]) ).
fof(f2543,plain,
( op1(e11,e12) = j(e21)
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2542,f81]) ).
fof(f2544,plain,
( e14 = op1(e11,e12)
| ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2543,f320]) ).
fof(f2545,plain,
( e13 = e14
| ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2544,f72]) ).
fof(f2546,plain,
( $false
| ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2545,f10]) ).
fof(f2547,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2546]) ).
fof(f2555,plain,
( e10 = e11
| ~ spl0_6
| ~ spl0_26 ),
inference(forward_demodulation,[],[f1909,f283]) ).
fof(f2561,plain,
( e20 = e22
| ~ spl0_1
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1548,f178]) ).
fof(f2589,plain,
( $false
| ~ spl0_6
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f2555,f19]) ).
fof(f2590,plain,
( ~ spl0_6
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f2589]) ).
fof(f2595,plain,
( $false
| ~ spl0_1
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f2561,f28]) ).
fof(f2596,plain,
( ~ spl0_1
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f2595]) ).
fof(f2648,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f2650,plain,
( op1(e11,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2648,f371]) ).
fof(f2651,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2650,f83]) ).
fof(f2652,plain,
( e13 = op1(e11,e10)
| ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2651,f358]) ).
fof(f2653,plain,
( e11 = e13
| ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2652,f74]) ).
fof(f2654,plain,
( $false
| ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2653,f14]) ).
fof(f2655,plain,
( ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2654]) ).
fof(f2673,plain,
( j(op2(e24,e21)) = op1(j(e24),e13)
| ~ spl0_34 ),
inference(superposition,[],[f128,f316]) ).
fof(f2675,plain,
( op1(e11,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2673,f371]) ).
fof(f2676,plain,
( op1(e11,e13) = j(e23)
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2675,f83]) ).
fof(f2686,plain,
( j(op2(e24,e23)) = op1(j(e24),e10)
| ~ spl0_41 ),
inference(superposition,[],[f126,f346]) ).
fof(f2688,plain,
( op1(e11,e10) = j(op2(e24,e23))
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2686,f371]) ).
fof(f2689,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2688,f81]) ).
fof(f2690,plain,
( e13 = op1(e11,e10)
| ~ spl0_34
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2689,f316]) ).
fof(f2691,plain,
( e11 = e13
| ~ spl0_34
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2690,f74]) ).
fof(f2692,plain,
( $false
| ~ spl0_34
| ~ spl0_41
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2691,f14]) ).
fof(f2693,plain,
( ~ spl0_34
| ~ spl0_41
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2692]) ).
fof(f2698,plain,
( e14 = op1(e11,e13)
| ~ spl0_34
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2676,f362]) ).
fof(f2702,plain,
( e10 = e14
| ~ spl0_34
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2698,f71]) ).
fof(f2703,plain,
( $false
| ~ spl0_34
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2702,f16]) ).
fof(f2704,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2703]) ).
fof(f2716,plain,
( $false
| spl0_6
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1915,f198]) ).
fof(f2717,plain,
( spl0_6
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f2716]) ).
fof(f2720,plain,
( e12 = e13
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_demodulation,[],[f337,f333]) ).
fof(f2732,plain,
( $false
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f2720,f12]) ).
fof(f2733,plain,
( ~ spl0_38
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f2732]) ).
fof(f2739,plain,
( e21 = e22
| ~ spl0_2
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1548,f182]) ).
fof(f2754,plain,
( $false
| ~ spl0_2
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f2739,f25]) ).
fof(f2755,plain,
( ~ spl0_2
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f2754]) ).
fof(f2776,plain,
( j(op2(e24,e20)) = op1(j(e24),e13)
| ~ spl0_29 ),
inference(superposition,[],[f129,f295]) ).
fof(f2778,plain,
( op1(e11,e13) = j(op2(e24,e20))
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2776,f371]) ).
fof(f2779,plain,
( op1(e11,e13) = j(e24)
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2778,f84]) ).
fof(f2780,plain,
( e11 = op1(e11,e13)
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2779,f371]) ).
fof(f2781,plain,
( e10 = e11
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2780,f71]) ).
fof(f2782,plain,
( $false
| ~ spl0_29
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2781,f19]) ).
fof(f2783,plain,
( ~ spl0_29
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2782]) ).
fof(f2822,plain,
( j(op2(e24,e21)) = op1(j(e24),e14)
| ~ spl0_35 ),
inference(superposition,[],[f128,f320]) ).
fof(f2824,plain,
( op1(e11,e14) = j(op2(e24,e21))
| ~ spl0_35
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2822,f371]) ).
fof(f2825,plain,
( op1(e11,e14) = j(e23)
| ~ spl0_35
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2824,f83]) ).
fof(f2826,plain,
( e13 = op1(e11,e14)
| ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2825,f358]) ).
fof(f2827,plain,
( e12 = e13
| ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2826,f70]) ).
fof(f2828,plain,
( $false
| ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2827,f12]) ).
fof(f2829,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2828]) ).
fof(f2832,plain,
( e11 = e12
| ~ spl0_15
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1860,f371]) ).
fof(f2841,plain,
( e14 = op1(e11,e14)
| ~ spl0_35
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2825,f362]) ).
fof(f2853,plain,
( $false
| ~ spl0_15
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2832,f15]) ).
fof(f2854,plain,
( ~ spl0_15
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2853]) ).
fof(f2865,plain,
( e12 = e14
| ~ spl0_35
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_demodulation,[],[f2841,f70]) ).
fof(f2866,plain,
( $false
| ~ spl0_35
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2865,f11]) ).
fof(f2867,plain,
( ~ spl0_35
| ~ spl0_45
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f2866]) ).
fof(f2901,plain,
( j(op2(e24,e20)) = op1(j(e24),e13)
| ~ spl0_29 ),
inference(superposition,[],[f129,f295]) ).
fof(f2903,plain,
( op1(e12,e13) = j(op2(e24,e20))
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2901,f375]) ).
fof(f2904,plain,
( op1(e12,e13) = j(e24)
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2903,f84]) ).
fof(f2905,plain,
( e12 = op1(e12,e13)
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2904,f375]) ).
fof(f2906,plain,
( e11 = e12
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2905,f66]) ).
fof(f2907,plain,
( $false
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2906,f15]) ).
fof(f2908,plain,
( ~ spl0_29
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2907]) ).
fof(f2936,plain,
( j(op2(e24,e21)) = op1(j(e24),e10)
| ~ spl0_31 ),
inference(superposition,[],[f128,f304]) ).
fof(f2938,plain,
( op1(e12,e10) = j(op2(e24,e21))
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2936,f375]) ).
fof(f2939,plain,
( op1(e12,e10) = j(e23)
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2938,f83]) ).
fof(f2940,plain,
( e13 = op1(e12,e10)
| ~ spl0_31
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2939,f358]) ).
fof(f2941,plain,
( e12 = e13
| ~ spl0_31
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2940,f69]) ).
fof(f2942,plain,
( $false
| ~ spl0_31
| ~ spl0_44
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2941,f12]) ).
fof(f2943,plain,
( ~ spl0_31
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2942]) ).
fof(f2967,plain,
( j(op2(e24,e20)) = op1(j(e24),e11)
| ~ spl0_27 ),
inference(superposition,[],[f129,f287]) ).
fof(f2969,plain,
( op1(e14,e11) = j(op2(e24,e20))
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2967,f383]) ).
fof(f2970,plain,
( op1(e14,e11) = j(e24)
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2969,f84]) ).
fof(f2971,plain,
( e14 = op1(e14,e11)
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2970,f383]) ).
fof(f2972,plain,
( e13 = e14
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_demodulation,[],[f2971,f58]) ).
fof(f2973,plain,
( $false
| ~ spl0_27
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2972,f10]) ).
fof(f2974,plain,
( ~ spl0_27
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2973]) ).
fof(f3020,plain,
( op1(e14,e14) = j(op2(e24,e24))
| ~ spl0_50 ),
inference(superposition,[],[f125,f383]) ).
fof(f3033,plain,
( op1(e14,e14) = j(e22)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f3020,f80]) ).
fof(f3038,plain,
( e12 = op1(e14,e14)
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_demodulation,[],[f3033,f333]) ).
fof(f3043,plain,
( e10 = e12
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_demodulation,[],[f3038,f55]) ).
fof(f3044,plain,
( $false
| ~ spl0_38
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f3043,f18]) ).
fof(f3045,plain,
( ~ spl0_38
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f3044]) ).
fof(f3076,plain,
( j(op2(e24,e21)) = op1(j(e24),e13)
| ~ spl0_34 ),
inference(superposition,[],[f128,f316]) ).
fof(f3078,plain,
( op1(e12,e13) = j(op2(e24,e21))
| ~ spl0_34
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3076,f375]) ).
fof(f3079,plain,
( op1(e12,e13) = j(e23)
| ~ spl0_34
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3078,f83]) ).
fof(f3080,plain,
( e14 = op1(e12,e13)
| ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3079,f362]) ).
fof(f3081,plain,
( e11 = e14
| ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3080,f66]) ).
fof(f3082,plain,
( $false
| ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3081,f13]) ).
fof(f3083,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3082]) ).
fof(f3107,plain,
( j(op2(e24,e23)) = op1(j(e24),e11)
| ~ spl0_42 ),
inference(superposition,[],[f126,f350]) ).
fof(f3109,plain,
( op1(e12,e11) = j(op2(e24,e23))
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3107,f375]) ).
fof(f3110,plain,
( op1(e12,e11) = j(e21)
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3109,f81]) ).
fof(f3111,plain,
( e13 = op1(e12,e11)
| ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3110,f316]) ).
fof(f3112,plain,
( e10 = e13
| ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3111,f68]) ).
fof(f3113,plain,
( $false
| ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3112,f17]) ).
fof(f3114,plain,
( ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3113]) ).
fof(f3145,plain,
( j(op2(e24,e22)) = op1(j(e24),e11)
| ~ spl0_37 ),
inference(superposition,[],[f127,f329]) ).
fof(f3148,plain,
( op1(e12,e11) = j(op2(e24,e22))
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3145,f375]) ).
fof(f3149,plain,
( op1(e12,e11) = j(e20)
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3148,f82]) ).
fof(f3150,plain,
( e14 = op1(e12,e11)
| ~ spl0_30
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3149,f299]) ).
fof(f3151,plain,
( e10 = e14
| ~ spl0_30
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_demodulation,[],[f3150,f68]) ).
fof(f3152,plain,
( $false
| ~ spl0_30
| ~ spl0_37
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f3151,f16]) ).
fof(f3153,plain,
( ~ spl0_30
| ~ spl0_37
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f3152]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f195]) ).
cnf(s2,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f216]) ).
cnf(s3,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f237]) ).
cnf(s4,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f258]) ).
cnf(s5,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f279]) ).
cnf(s6,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f300]) ).
cnf(s7,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f321]) ).
cnf(s8,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(sat_conversion,[],[f342]) ).
cnf(s9,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f363]) ).
cnf(s10,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(sat_conversion,[],[f384]) ).
cnf(s11,plain,
( ~ spl0_21
| ~ spl0_26 ),
inference(sat_conversion,[],[f388]) ).
cnf(s12,plain,
( ~ spl0_22
| ~ spl0_31 ),
inference(sat_conversion,[],[f393]) ).
cnf(s13,plain,
( ~ spl0_23
| ~ spl0_36 ),
inference(sat_conversion,[],[f399]) ).
cnf(s14,plain,
( ~ spl0_24
| ~ spl0_41 ),
inference(sat_conversion,[],[f406]) ).
cnf(s16,plain,
( ~ spl0_21
| spl0_30 ),
inference(sat_conversion,[],[f415]) ).
cnf(s17,plain,
( ~ spl0_27
| ~ spl0_30 ),
inference(sat_conversion,[],[f419]) ).
cnf(s18,plain,
( ~ spl0_16
| spl0_29 ),
inference(sat_conversion,[],[f427]) ).
cnf(s19,plain,
( ~ spl0_17
| ~ spl0_31 ),
inference(sat_conversion,[],[f432]) ).
cnf(s20,plain,
( ~ spl0_18
| ~ spl0_36 ),
inference(sat_conversion,[],[f438]) ).
cnf(s21,plain,
( ~ spl0_19
| ~ spl0_41 ),
inference(sat_conversion,[],[f445]) ).
cnf(s25,plain,
( ~ spl0_29
| ~ spl0_30 ),
inference(sat_conversion,[],[f466]) ).
cnf(s26,plain,
( ~ spl0_22
| spl0_35 ),
inference(sat_conversion,[],[f467]) ).
cnf(s27,plain,
( ~ spl0_33
| ~ spl0_35 ),
inference(sat_conversion,[],[f472]) ).
cnf(s28,plain,
( ~ spl0_11
| spl0_28 ),
inference(sat_conversion,[],[f480]) ).
cnf(s30,plain,
( ~ spl0_14
| ~ spl0_41 ),
inference(sat_conversion,[],[f491]) ).
cnf(s36,plain,
( ~ spl0_26
| ~ spl0_29 ),
inference(sat_conversion,[],[f515]) ).
cnf(s39,plain,
( ~ spl0_9
| spl0_42 ),
inference(sat_conversion,[],[f531]) ).
cnf(s40,plain,
( ~ spl0_7
| spl0_32 ),
inference(sat_conversion,[],[f536]) ).
cnf(s41,plain,
( ~ spl0_8
| ~ spl0_36 ),
inference(sat_conversion,[],[f544]) ).
cnf(s44,plain,
( ~ spl0_37
| ~ spl0_46 ),
inference(sat_conversion,[],[f563]) ).
cnf(s46,plain,
( ~ spl0_39
| ~ spl0_46 ),
inference(sat_conversion,[],[f569]) ).
cnf(s48,plain,
( ~ spl0_38
| ~ spl0_46 ),
inference(sat_conversion,[],[f577]) ).
cnf(s49,plain,
( ~ spl0_4
| spl0_41 ),
inference(sat_conversion,[],[f578]) ).
cnf(s50,plain,
( ~ spl0_12
| ~ spl0_43 ),
inference(sat_conversion,[],[f585]) ).
cnf(s51,plain,
( spl0_14
| ~ spl0_43 ),
inference(sat_conversion,[],[f587]) ).
cnf(s53,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(sat_conversion,[],[f605]) ).
cnf(s54,plain,
( ~ spl0_10
| spl0_47 ),
inference(sat_conversion,[],[f606]) ).
cnf(s55,plain,
( ~ spl0_6
| spl0_27 ),
inference(sat_conversion,[],[f610]) ).
cnf(s57,plain,
( ~ spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f622]) ).
cnf(s58,plain,
( ~ spl0_9
| ~ spl0_41 ),
inference(sat_conversion,[],[f629]) ).
cnf(s62,plain,
( spl0_13
| ~ spl0_38 ),
inference(sat_conversion,[],[f649]) ).
cnf(s66,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f677]) ).
cnf(s67,plain,
( ~ spl0_5
| spl0_46 ),
inference(sat_conversion,[],[f678]) ).
cnf(s72,plain,
( ~ spl0_14
| spl0_43 ),
inference(sat_conversion,[],[f695]) ).
cnf(s73,plain,
( ~ spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f697]) ).
cnf(s75,plain,
( ~ spl0_13
| spl0_38 ),
inference(sat_conversion,[],[f709]) ).
cnf(s76,plain,
( ~ spl0_19
| spl0_44 ),
inference(sat_conversion,[],[f711]) ).
cnf(s77,plain,
( ~ spl0_11
| ~ spl0_27 ),
inference(sat_conversion,[],[f719]) ).
cnf(s79,plain,
( ~ spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f734]) ).
cnf(s81,plain,
( ~ spl0_17
| spl0_34 ),
inference(sat_conversion,[],[f735]) ).
cnf(s83,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(sat_conversion,[],[f755]) ).
cnf(s92,plain,
( ~ spl0_32
| ~ spl0_34 ),
inference(sat_conversion,[],[f814]) ).
cnf(s96,plain,
( ~ spl0_12
| spl0_33 ),
inference(sat_conversion,[],[f816]) ).
cnf(s102,plain,
( ~ spl0_40
| ~ spl0_46 ),
inference(sat_conversion,[],[f881]) ).
cnf(s103,plain,
( spl0_3
| ~ spl0_36 ),
inference(sat_conversion,[],[f884]) ).
cnf(s113,plain,
( ~ spl0_3
| ~ spl0_46 ),
inference(sat_conversion,[],[f916]) ).
cnf(s114,plain,
( ~ spl0_2
| spl0_31 ),
inference(sat_conversion,[],[f917]) ).
cnf(s117,plain,
( ~ spl0_31
| ~ spl0_33 ),
inference(sat_conversion,[],[f947]) ).
cnf(s118,plain,
( ~ spl0_1
| spl0_26 ),
inference(sat_conversion,[],[f948]) ).
cnf(s119,plain,
( spl0_21
| ~ spl0_30 ),
inference(sat_conversion,[],[f956]) ).
cnf(s121,plain,
( ~ spl0_23
| ~ spl0_39 ),
inference(sat_conversion,[],[f963]) ).
cnf(s123,plain,
( ~ spl0_32
| ~ spl0_33 ),
inference(sat_conversion,[],[f980]) ).
cnf(s125,plain,
( ~ spl0_33
| ~ spl0_44
| ~ spl0_47 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s133,plain,
( ~ spl0_1
| ~ spl0_41 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s134,plain,
( spl0_1
| ~ spl0_26 ),
inference(sat_conversion,[],[f1047]) ).
cnf(s135,plain,
( spl0_11
| ~ spl0_28 ),
inference(sat_conversion,[],[f1049]) ).
cnf(s136,plain,
( spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f1053]) ).
cnf(s141,plain,
( ~ spl0_24
| spl0_45 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s144,plain,
( spl0_18
| ~ spl0_39 ),
inference(sat_conversion,[],[f1099]) ).
cnf(s151,plain,
( ~ spl0_23
| spl0_40 ),
inference(sat_conversion,[],[f1101]) ).
cnf(s156,plain,
( ~ spl0_21
| ~ spl0_40 ),
inference(sat_conversion,[],[f1119]) ).
cnf(s165,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_49 ),
inference(sat_conversion,[],[f1162]) ).
cnf(s167,plain,
( ~ spl0_33
| ~ spl0_45
| ~ spl0_47 ),
inference(sat_conversion,[],[f1198]) ).
cnf(s175,plain,
( ~ spl0_28
| ~ spl0_39
| ~ spl0_47 ),
inference(sat_conversion,[],[f1223]) ).
cnf(s176,plain,
( ~ spl0_33
| ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f1226]) ).
cnf(s177,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f1227]) ).
cnf(s178,plain,
( ~ spl0_12
| ~ spl0_48 ),
inference(sat_conversion,[],[f1235]) ).
cnf(s180,plain,
( ~ spl0_28
| ~ spl0_39
| ~ spl0_48 ),
inference(sat_conversion,[],[f1244]) ).
cnf(s181,plain,
( ~ spl0_25
| ~ spl0_49 ),
inference(sat_conversion,[],[f1251]) ).
cnf(s184,plain,
( ~ spl0_11
| ~ spl0_33 ),
inference(sat_conversion,[],[f1279]) ).
cnf(s193,plain,
( spl0_12
| ~ spl0_33 ),
inference(sat_conversion,[],[f1308]) ).
cnf(s194,plain,
( ~ spl0_13
| ~ spl0_37 ),
inference(sat_conversion,[],[f1310]) ).
cnf(s196,plain,
( ~ spl0_13
| ~ spl0_48 ),
inference(sat_conversion,[],[f1314]) ).
cnf(s205,plain,
( ~ spl0_37
| ~ spl0_39 ),
inference(sat_conversion,[],[f1360]) ).
cnf(s207,plain,
( ~ spl0_20
| spl0_49 ),
inference(sat_conversion,[],[f1366]) ).
cnf(s213,plain,
( ~ spl0_37
| ~ spl0_50 ),
inference(sat_conversion,[],[f1423]) ).
cnf(s216,plain,
( ~ spl0_23
| ~ spl0_37 ),
inference(sat_conversion,[],[f1439]) ).
cnf(s218,plain,
( ~ spl0_29
| ~ spl0_37
| ~ spl0_49 ),
inference(sat_conversion,[],[f1450]) ).
cnf(s225,plain,
( ~ spl0_25
| spl0_50 ),
inference(sat_conversion,[],[f1452]) ).
cnf(s227,plain,
( ~ spl0_39
| ~ spl0_50 ),
inference(sat_conversion,[],[f1509]) ).
cnf(s228,plain,
( ~ spl0_3
| spl0_36 ),
inference(sat_conversion,[],[f1510]) ).
cnf(s239,plain,
( ~ spl0_29
| ~ spl0_50 ),
inference(sat_conversion,[],[f1571]) ).
cnf(s251,plain,
( ~ spl0_40
| ~ spl0_50 ),
inference(sat_conversion,[],[f1598]) ).
cnf(s261,plain,
( ~ spl0_30
| ~ spl0_50 ),
inference(sat_conversion,[],[f1626]) ).
cnf(s272,plain,
( ~ spl0_28
| ~ spl0_50 ),
inference(sat_conversion,[],[f1665]) ).
cnf(s280,plain,
( ~ spl0_24
| ~ spl0_42 ),
inference(sat_conversion,[],[f1696]) ).
cnf(s281,plain,
( ~ spl0_1
| ~ spl0_31 ),
inference(sat_conversion,[],[f1698]) ).
cnf(s290,plain,
( ~ spl0_11
| ~ spl0_26 ),
inference(sat_conversion,[],[f1733]) ).
cnf(s292,plain,
( ~ spl0_35
| ~ spl0_42
| ~ spl0_49 ),
inference(sat_conversion,[],[f1740]) ).
cnf(s304,plain,
( ~ spl0_27
| ~ spl0_49 ),
inference(sat_conversion,[],[f1779]) ).
cnf(s310,plain,
( ~ spl0_28
| ~ spl0_49 ),
inference(sat_conversion,[],[f1804]) ).
cnf(s317,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_49 ),
inference(sat_conversion,[],[f1836]) ).
cnf(s318,plain,
( ~ spl0_15
| spl0_48 ),
inference(sat_conversion,[],[f1837]) ).
cnf(s321,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f1879]) ).
cnf(s343,plain,
( ~ spl0_27
| ~ spl0_48 ),
inference(sat_conversion,[],[f1921]) ).
cnf(s356,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f1959]) ).
cnf(s363,plain,
( ~ spl0_32
| ~ spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f1969]) ).
cnf(s370,plain,
( ~ spl0_48
| ~ spl0_49 ),
inference(sat_conversion,[],[f1985]) ).
cnf(s387,plain,
( ~ spl0_30
| ~ spl0_39
| ~ spl0_48 ),
inference(sat_conversion,[],[f2031]) ).
cnf(s403,plain,
( ~ spl0_32
| ~ spl0_43
| ~ spl0_49 ),
inference(sat_conversion,[],[f2085]) ).
cnf(s407,plain,
( spl0_17
| ~ spl0_34 ),
inference(sat_conversion,[],[f2087]) ).
cnf(s408,plain,
( ~ spl0_34
| ~ spl0_43
| ~ spl0_49 ),
inference(sat_conversion,[],[f2094]) ).
cnf(s415,plain,
( ~ spl0_17
| ~ spl0_44 ),
inference(sat_conversion,[],[f2106]) ).
cnf(s420,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f2117]) ).
cnf(s424,plain,
( ~ spl0_7
| ~ spl0_47 ),
inference(sat_conversion,[],[f2138]) ).
cnf(s445,plain,
( ~ spl0_32
| ~ spl0_45
| ~ spl0_49 ),
inference(sat_conversion,[],[f2231]) ).
cnf(s486,plain,
( ~ spl0_23
| ~ spl0_38 ),
inference(sat_conversion,[],[f2295]) ).
cnf(s495,plain,
( ~ spl0_33
| ~ spl0_42
| ~ spl0_49 ),
inference(sat_conversion,[],[f2332]) ).
cnf(s518,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f2334]) ).
cnf(s525,plain,
( ~ spl0_29
| ~ spl0_40
| ~ spl0_49 ),
inference(sat_conversion,[],[f2398]) ).
cnf(s536,plain,
( ~ spl0_30
| ~ spl0_49 ),
inference(sat_conversion,[],[f2421]) ).
cnf(s537,plain,
( ~ spl0_31
| ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f2432]) ).
cnf(s544,plain,
( ~ spl0_34
| ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f2456]) ).
cnf(s551,plain,
( ~ spl0_14
| ~ spl0_48 ),
inference(sat_conversion,[],[f2465]) ).
cnf(s571,plain,
( ~ spl0_9
| ~ spl0_47 ),
inference(sat_conversion,[],[f2495]) ).
cnf(s575,plain,
( spl0_9
| ~ spl0_42 ),
inference(sat_conversion,[],[f2503]) ).
cnf(s576,plain,
( ~ spl0_35
| ~ spl0_43
| ~ spl0_47 ),
inference(sat_conversion,[],[f2547]) ).
cnf(s595,plain,
( ~ spl0_6
| ~ spl0_26 ),
inference(sat_conversion,[],[f2590]) ).
cnf(s598,plain,
( ~ spl0_1
| ~ spl0_36 ),
inference(sat_conversion,[],[f2596]) ).
cnf(s624,plain,
( ~ spl0_31
| ~ spl0_44
| ~ spl0_47 ),
inference(sat_conversion,[],[f2655]) ).
cnf(s637,plain,
( ~ spl0_34
| ~ spl0_41
| ~ spl0_47 ),
inference(sat_conversion,[],[f2693]) ).
cnf(s647,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_47 ),
inference(sat_conversion,[],[f2704]) ).
cnf(s667,plain,
( spl0_6
| ~ spl0_27 ),
inference(sat_conversion,[],[f2717]) ).
cnf(s668,plain,
( ~ spl0_38
| ~ spl0_39 ),
inference(sat_conversion,[],[f2733]) ).
cnf(s687,plain,
( ~ spl0_2
| ~ spl0_36 ),
inference(sat_conversion,[],[f2755]) ).
cnf(s691,plain,
( ~ spl0_29
| ~ spl0_47 ),
inference(sat_conversion,[],[f2783]) ).
cnf(s710,plain,
( ~ spl0_35
| ~ spl0_44
| ~ spl0_47 ),
inference(sat_conversion,[],[f2829]) ).
cnf(s734,plain,
( ~ spl0_15
| ~ spl0_47 ),
inference(sat_conversion,[],[f2854]) ).
cnf(s740,plain,
( ~ spl0_35
| ~ spl0_45
| ~ spl0_47 ),
inference(sat_conversion,[],[f2867]) ).
cnf(s768,plain,
( ~ spl0_29
| ~ spl0_48 ),
inference(sat_conversion,[],[f2908]) ).
cnf(s784,plain,
( ~ spl0_31
| ~ spl0_44
| ~ spl0_48 ),
inference(sat_conversion,[],[f2943]) ).
cnf(s799,plain,
( ~ spl0_27
| ~ spl0_50 ),
inference(sat_conversion,[],[f2974]) ).
cnf(s816,plain,
( ~ spl0_38
| ~ spl0_50 ),
inference(sat_conversion,[],[f3045]) ).
cnf(s835,plain,
( ~ spl0_34
| ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f3083]) ).
cnf(s851,plain,
( ~ spl0_34
| ~ spl0_42
| ~ spl0_48 ),
inference(sat_conversion,[],[f3114]) ).
cnf(s873,plain,
( ~ spl0_30
| ~ spl0_37
| ~ spl0_48 ),
inference(sat_conversion,[],[f3153]) ).
cnf(s874,plain,
( ~ spl0_46
| spl0_36 ),
inference(rat,[],[s8,s44,s46,s48,s102]) ).
cnf(s875,plain,
( ~ spl0_47
| spl0_27
| spl0_30
| spl0_18
| ~ spl0_41
| spl0_26 ),
inference(rat,[],[s207,s310,s4,s81,s6,s18,s637,s691,s21]) ).
cnf(s876,plain,
( spl0_16
| spl0_17
| spl0_27
| spl0_30
| spl0_18
| spl0_19
| spl0_26 ),
inference(rat,[],[s310,s207,s6,s4,s136]) ).
cnf(s877,plain,
( spl0_6
| ~ spl0_40
| spl0_18
| spl0_8
| ~ spl0_41
| spl0_46
| spl0_26 ),
inference(rat,[],[s10,s525,s768,s18,s876,s81,s92,s40,s2,s54,s875,s667,s58,s21,s251,s119,s156]) ).
cnf(s878,plain,
( spl0_39
| spl0_38
| spl0_37
| ~ spl0_41
| spl0_36
| spl0_26 ),
inference(rat,[],[s79,s176,s3,s10,s318,s77,s304,s343,s55,s877,s251,s8,s73,s874,s30,s177,s75]) ).
cnf(s879,plain,
( ~ spl0_49
| spl0_25
| spl0_23
| spl0_13
| ~ spl0_41 ),
inference(rat,[],[s27,s96,s26,s3,s5,s28,s318,s16,s310,s370,s536,s30,s14]) ).
cnf(s881,plain,
( spl0_48
| ~ spl0_39
| spl0_13
| ~ spl0_41
| spl0_46 ),
inference(rat,[],[s3,s28,s96,s175,s176,s10,s318,s30,s879,s225,s227,s121]) ).
cnf(s882,plain,
( spl0_38
| spl0_37
| ~ spl0_41
| spl0_36
| spl0_26 ),
inference(rat,[],[s6,s180,s387,s343,s768,s881,s878,s75,s874]) ).
cnf(s884,plain,
( spl0_27
| spl0_7
| spl0_30
| spl0_18
| spl0_8
| ~ spl0_41
| spl0_26 ),
inference(rat,[],[s54,s2,s875,s55,s58]) ).
cnf(s885,plain,
( spl0_30
| spl0_18
| spl0_25
| spl0_23
| spl0_8
| ~ spl0_41
| spl0_26 ),
inference(rat,[],[s4,s18,s207,s57,s304,s884,s40,s81,s53,s83,s26,s5,s16,s21,s14]) ).
cnf(s886,plain,
( spl0_37
| ~ spl0_41
| spl0_36
| spl0_26 ),
inference(rat,[],[s81,s4,s637,s18,s10,s207,s25,s536,s885,s196,s73,s225,s62,s486,s668,s816,s882,s177,s874,s21]) ).
cnf(s887,plain,
( ~ spl0_29
| spl0_49
| spl0_50
| spl0_46 ),
inference(rat,[],[s10,s691,s768]) ).
cnf(s888,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s16,s5,s873,s26,s10,s83,s637,s81,s4,s18,s887,s207,s879,s73,s225,s194,s205,s213,s216,s886,s14,s21,s49,s1,s67,s874,s103,s134]) ).
cnf(s889,plain,
( spl0_30
| ~ spl0_41
| spl0_26
| spl0_23
| spl0_18
| spl0_8 ),
inference(rat,[],[s6,s239,s272,s799,s225,s885]) ).
cnf(s890,plain,
( ~ spl0_41
| ~ spl0_36
| spl0_26 ),
inference(rat,[],[s2,s40,s54,s92,s637,s81,s4,s55,s18,s207,s17,s25,s536,s889,s21,s58,s41,s20,s13]) ).
cnf(s891,plain,
( ~ spl0_32
| ~ spl0_49
| spl0_21
| spl0_23 ),
inference(rat,[],[s5,s26,s141,s53,s445,s181]) ).
cnf(s892,plain,
( ~ spl0_49
| spl0_30
| ~ spl0_36
| spl0_26 ),
inference(rat,[],[s5,s26,s280,s292,s39,s2,s40,s891,s54,s691,s6,s55,s181,s304,s310,s41,s13,s16]) ).
cnf(s893,plain,
( ~ spl0_32
| ~ spl0_48
| spl0_16
| spl0_20
| spl0_18 ),
inference(rat,[],[s4,s81,s76,s92,s363]) ).
cnf(s894,plain,
( spl0_27
| spl0_47
| spl0_29
| spl0_49
| spl0_30
| spl0_18
| spl0_8
| spl0_46
| spl0_31
| spl0_26 ),
inference(rat,[],[s7,s66,s851,s39,s2,s40,s893,s184,s10,s135,s272,s6,s55,s207,s18,s54]) ).
cnf(s895,plain,
( spl0_47
| spl0_29
| spl0_26
| spl0_49
| spl0_30
| spl0_18
| spl0_8
| spl0_46
| spl0_31 ),
inference(rat,[],[s10,s343,s799,s894]) ).
cnf(s896,plain,
( spl0_34
| spl0_33
| ~ spl0_47
| spl0_16
| spl0_20
| spl0_18
| spl0_31 ),
inference(rat,[],[s76,s710,s4,s7,s81,s420,s424]) ).
cnf(s897,plain,
( ~ spl0_34
| ~ spl0_47
| spl0_41 ),
inference(rat,[],[s415,s9,s407,s544,s647,s575,s571]) ).
cnf(s898,plain,
( spl0_29
| spl0_49
| spl0_30
| spl0_41
| spl0_18
| spl0_8
| spl0_46
| spl0_31
| spl0_26 ),
inference(rat,[],[s76,s125,s4,s896,s81,s897,s895,s18,s207]) ).
cnf(s899,plain,
( spl0_49
| spl0_30
| spl0_26
| spl0_41
| spl0_18
| spl0_8
| spl0_46
| spl0_31 ),
inference(rat,[],[s887,s239,s898]) ).
cnf(s900,plain,
( spl0_30
| spl0_46
| ~ spl0_36
| spl0_31
| spl0_26 ),
inference(rat,[],[s899,s892,s41,s20,s890]) ).
cnf(s901,plain,
( spl0_47
| spl0_6
| spl0_16
| spl0_50
| spl0_49
| spl0_18
| spl0_8
| spl0_46
| spl0_31 ),
inference(rat,[],[s7,s66,s851,s39,s2,s40,s193,s893,s178,s10,s54,s207]) ).
cnf(s902,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s76,s125,s4,s896,s81,s897,s901,s55,s18,s207,s17,s25,s261,s536,s900,s890,s20,s41,s113,s228,s888,s518,s134]) ).
cnf(s903,plain,
( ~ spl0_49
| spl0_30
| spl0_1 ),
inference(rat,[],[s39,s2,s280,s40,s5,s891,s177,s151,s54,s218,s525,s691,s6,s55,s181,s304,s310,s134,s12,s114,s902,s16]) ).
cnf(s904,plain,
( ~ spl0_50
| spl0_29
| spl0_30
| spl0_26 ),
inference(rat,[],[s6,s272,s799]) ).
cnf(s905,plain,
( ~ spl0_48
| spl0_29
| spl0_30
| spl0_1 ),
inference(rat,[],[s73,s4,s180,s76,s6,s784,s343,s134,s19,s114,s902,s207,s903,s18]) ).
cnf(s906,plain,
( spl0_29
| spl0_30
| spl0_1 ),
inference(rat,[],[s3,s28,s75,s175,s668,s73,s4,s72,s76,s537,s624,s10,s318,s905,s904,s18,s134,s874,s687,s19,s96,s117,s114,s902,s207,s903]) ).
cnf(s907,plain,
( spl0_30
| spl0_1 ),
inference(rat,[],[s887,s239,s906,s903,s874,s687,s902]) ).
cnf(s908,plain,
( ~ spl0_48
| spl0_1 ),
inference(rat,[],[s8,s62,s873,s387,s196,s687,s902,s156,s119,s907]) ).
cnf(s909,plain,
spl0_1,
inference(rat,[],[s3,s28,s75,s175,s668,s73,s4,s72,s76,s537,s624,s10,s318,s908,s18,s207,s25,s261,s536,s907,s96,s19,s117,s874,s114,s687,s902]) ).
cnf(s910,plain,
~ spl0_36,
inference(rat,[],[s598,s909]) ).
cnf(s912,plain,
~ spl0_31,
inference(rat,[],[s281,s909]) ).
cnf(s913,plain,
~ spl0_41,
inference(rat,[],[s133,s909]) ).
cnf(s914,plain,
spl0_26,
inference(rat,[],[s118,s909]) ).
cnf(s915,plain,
~ spl0_46,
inference(rat,[],[s874,s910]) ).
cnf(s919,plain,
~ spl0_6,
inference(rat,[],[s595,s914]) ).
cnf(s921,plain,
~ spl0_11,
inference(rat,[],[s290,s914]) ).
cnf(s922,plain,
~ spl0_29,
inference(rat,[],[s36,s914]) ).
cnf(s923,plain,
~ spl0_21,
inference(rat,[],[s11,s914]) ).
cnf(s925,plain,
~ spl0_16,
inference(rat,[],[s18,s922]) ).
cnf(s927,plain,
( ~ spl0_32
| ~ spl0_49 ),
inference(rat,[],[s75,s3,s486,s96,s72,s891,s123,s403,s318,s370,s921,s923]) ).
cnf(s928,plain,
( ~ spl0_42
| ~ spl0_49 ),
inference(rat,[],[s3,s75,s72,s486,s408,s5,s7,s26,s96,s280,s292,s495,s181,s318,s370,s927,s921,s923,s912]) ).
cnf(s929,plain,
( spl0_33
| spl0_34
| spl0_13
| ~ spl0_49 ),
inference(rat,[],[s72,s317,s3,s7,s96,s318,s370,s927,s921,s912]) ).
cnf(s930,plain,
( ~ spl0_33
| spl0_44
| ~ spl0_49 ),
inference(rat,[],[s9,s50,s165,s193,s928,s913]) ).
cnf(s931,plain,
( spl0_33
| spl0_13
| ~ spl0_49 ),
inference(rat,[],[s72,s408,s3,s929,s96,s318,s370,s921]) ).
cnf(s932,plain,
( ~ spl0_37
| ~ spl0_49 ),
inference(rat,[],[s5,s141,s26,s165,s27,s931,s194,s216,s181,s923]) ).
cnf(s933,plain,
( ~ spl0_35
| ~ spl0_49 ),
inference(rat,[],[s9,s576,s710,s740,s54,s2,s177,s932,s40,s927,s39,s928,s913,s919]) ).
cnf(s934,plain,
~ spl0_49,
inference(rat,[],[s930,s125,s7,s933,s897,s54,s2,s177,s932,s39,s928,s40,s927,s912,s913,s919]) ).
cnf(s935,plain,
~ spl0_20,
inference(rat,[],[s207,s934]) ).
cnf(s936,plain,
( spl0_18
| spl0_47
| spl0_8 ),
inference(rat,[],[s8,s213,s251,s816,s901,s144,s910,s919,s925,s934,s915,s912]) ).
cnf(s937,plain,
( ~ spl0_32
| ~ spl0_48
| spl0_25
| spl0_23 ),
inference(rat,[],[s5,s26,s141,s53,s356,s923]) ).
cnf(s938,plain,
( spl0_47
| spl0_8 ),
inference(rat,[],[s26,s5,s66,s280,s39,s2,s40,s937,s10,s225,s121,s227,s73,s936,s54,s923,s919,s934,s915]) ).
cnf(s939,plain,
( spl0_18
| ~ spl0_47 ),
inference(rat,[],[s76,s125,s4,s896,s81,s897,s925,s935,s912,s913]) ).
cnf(s940,plain,
( spl0_33
| ~ spl0_47 ),
inference(rat,[],[s72,s576,s3,s7,s96,s734,s897,s420,s424,s75,s668,s73,s939,s921,s912,s913]) ).
cnf(s941,plain,
~ spl0_47,
inference(rat,[],[s9,s50,s125,s167,s193,s940,s575,s571,s913]) ).
cnf(s943,plain,
spl0_8,
inference(rat,[],[s938,s941]) ).
cnf(s944,plain,
spl0_37,
inference(rat,[],[s177,s943]) ).
cnf(s947,plain,
~ spl0_50,
inference(rat,[],[s213,s944]) ).
cnf(s948,plain,
~ spl0_39,
inference(rat,[],[s205,s944]) ).
cnf(s952,plain,
spl0_48,
inference(rat,[],[s10,s941,s915,s934,s947]) ).
cnf(s953,plain,
~ spl0_18,
inference(rat,[],[s73,s948]) ).
cnf(s954,plain,
~ spl0_14,
inference(rat,[],[s551,s952]) ).
cnf(s955,plain,
~ spl0_12,
inference(rat,[],[s178,s952]) ).
cnf(s956,plain,
~ spl0_32,
inference(rat,[],[s893,s953,s935,s925,s952]) ).
cnf(s957,plain,
~ spl0_43,
inference(rat,[],[s51,s954]) ).
cnf(s958,plain,
~ spl0_33,
inference(rat,[],[s193,s955]) ).
cnf(s961,plain,
spl0_34,
inference(rat,[],[s76,s321,s4,s7,s81,s952,s925,s953,s935,s912,s956,s958]) ).
cnf(s962,plain,
~ spl0_42,
inference(rat,[],[s851,s952,s961]) ).
cnf(s963,plain,
~ spl0_45,
inference(rat,[],[s835,s952,s961]) ).
cnf(s964,plain,
spl0_17,
inference(rat,[],[s407,s961]) ).
cnf(s968,plain,
spl0_44,
inference(rat,[],[s9,s957,s962,s913,s963]) ).
cnf(s970,plain,
$false,
inference(rat,[],[s415,s968,s964]) ).
fof(f3154,plain,
$false,
inference(avatar_sat_refutation,[],[s970]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG076+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n016.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 19:30:03 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.30 % (3916824)Will run a generic schedule for satisfiability detection.
% 0.20/0.30 % (3916842)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2427926068:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.30 % (3916839)% WARNING: option uhcvi not known.
% 0.20/0.30 % (3916838)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3508798350_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.30 % (3916840)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3991960157:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.30 % (3916841)dis+10_1_sil=32000:sp=arity:random_seed=2360431333:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.30 % (3916839)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3510911942:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.30 % (3916845)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1808383707:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.30 % (3916843)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2109695426:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.30 % Detected minimum model sizes of [10]
% 0.20/0.30 % Detected maximum model sizes of [max]
% 0.20/0.30 % TRYING [10]
% 0.20/0.30 % (3916842) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3916824-3916842"...
% 0.20/0.30 % (3916842)...printing done.
% 0.20/0.30 % (3916842)Refutation found. Thanks to Tanya!
% 0.20/0.30 % SZS status Theorem for theBenchmark
% 0.20/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.32 % (3916842)------------------------------
% 0.20/0.32 % (3916842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3916842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3916842)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3916842)Termination reason: Refutation
% 0.20/0.32 % (3916842)Time elapsed: 0.031 s
% 0.20/0.32 % (3916842)Peak memory usage: 13 MB
% 0.20/0.32 % (3916842)Instructions burned: 112 (million)
% 0.20/0.32 % (3916824)Success in time 0.068 s
% 0.20/0.32 % Vampire exiting
%------------------------------------------------------------------------------