%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG182+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 09:18:07 AM UTC 2026
% Result : Theorem 1.97s 1.04s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 55
% Syntax : Number of formulae : 651 ( 86 unt; 50 def)
% Number of atoms : 2141 ( 895 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 2453 ( 963 ~;1098 |; 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) = e13
& op1(e10,e11) = e12
& op1(e10,e12) = e10
& op1(e10,e13) = e11
& op1(e10,e14) = e14
& op1(e11,e10) = e10
& op1(e11,e11) = e14
& op1(e11,e12) = e11
& op1(e11,e13) = e12
& op1(e11,e14) = e13
& op1(e12,e10) = e11
& op1(e12,e11) = e13
& op1(e12,e12) = e12
& op1(e12,e13) = e14
& op1(e12,e14) = e10
& op1(e13,e10) = e14
& op1(e13,e11) = e11
& op1(e13,e12) = e13
& op1(e13,e13) = e10
& op1(e13,e14) = e12
& op1(e14,e10) = e12
& op1(e14,e11) = e10
& op1(e14,e12) = e14
& op1(e14,e13) = e13
& op1(e14,e14) = e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e23
& op2(e20,e22) = e24
& op2(e20,e23) = e22
& op2(e20,e24) = e21
& op2(e21,e20) = e22
& op2(e21,e21) = e21
& op2(e21,e22) = e23
& op2(e21,e23) = e24
& op2(e21,e24) = e20
& op2(e22,e20) = e21
& op2(e22,e21) = e24
& op2(e22,e22) = e22
& op2(e22,e23) = e20
& op2(e22,e24) = e23
& op2(e23,e20) = e24
& op2(e23,e21) = e20
& op2(e23,e22) = e21
& op2(e23,e23) = e23
& op2(e23,e24) = e22
& op2(e24,e20) = e23
& op2(e24,e21) = e22
& op2(e24,e22) = e20
& op2(e24,e23) = e21
& op2(e24,e24) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( e10 = j(e24)
| e11 = j(e24)
| e12 = j(e24)
| e13 = j(e24)
| e14 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f11,plain,
( e10 = j(e23)
| e11 = j(e23)
| e12 = j(e23)
| e13 = j(e23)
| e14 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
fof(f12,plain,
( e10 = j(e22)
| e11 = j(e22)
| e12 = j(e22)
| e13 = j(e22)
| e14 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
fof(f13,plain,
( e10 = j(e21)
| e11 = j(e21)
| e12 = j(e21)
| e13 = j(e21)
| e14 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
( e20 = h(e14)
| e21 = h(e14)
| e22 = h(e14)
| e23 = h(e14)
| e24 = h(e14) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
( e20 = h(e13)
| e21 = h(e13)
| e22 = h(e13)
| e23 = h(e13)
| e24 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
( e20 = h(e12)
| e21 = h(e12)
| e22 = h(e12)
| e23 = h(e12)
| e24 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
( e20 = h(e11)
| e21 = h(e11)
| e22 = h(e11)
| e23 = h(e11)
| e24 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
( e20 = h(e10)
| e21 = h(e10)
| e22 = h(e10)
| e23 = h(e10)
| e24 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f21,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f24,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f32,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f80,plain,
e24 = 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,
e22 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
e23 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f85,plain,
e22 = op2(e23,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f86,plain,
e23 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
e11 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f111,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f115,plain,
e10 = op1(e12,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f117,plain,
e12 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f118,plain,
e13 = op1(e12,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f119,plain,
e11 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f122,plain,
e11 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f124,plain,
e10 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f127,plain,
e10 = op1(e10,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f128,plain,
e12 = op1(e10,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f155,plain,
e23 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f156,plain,
e22 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f157,plain,
e22 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f158,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f159,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f165,plain,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f167,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f168,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f169,plain,
e11 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f170,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f171,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f172,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f173,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f174,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f176,definition,
( spl0_1
<=> e14 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f177,plain,
( e14 != j(e24)
| spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( e14 = j(e24)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl0_2
<=> e13 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f182,plain,
( e13 = j(e24)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl0_3
<=> e12 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f186,plain,
( e12 = j(e24)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl0_4
<=> e11 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f190,plain,
( e11 = j(e24)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl0_5
<=> e10 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f194,plain,
( e10 = j(e24)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f192,f188,f184,f180,f176]) ).
fof(f197,definition,
( spl0_6
<=> e14 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f198,plain,
( e14 != j(e23)
| spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f199,plain,
( e14 = j(e23)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl0_7
<=> e13 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f202,plain,
( e13 != j(e23)
| spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f203,plain,
( e13 = j(e23)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl0_8
<=> e12 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f207,plain,
( e12 = j(e23)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_9
<=> e11 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f211,plain,
( e11 = j(e23)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_10
<=> e10 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f215,plain,
( e10 = j(e23)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f213,f209,f205,f201,f197]) ).
fof(f218,definition,
( spl0_11
<=> e14 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f219,plain,
( e14 != j(e22)
| spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( e14 = j(e22)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_12
<=> e13 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f224,plain,
( e13 = j(e22)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f226,definition,
( spl0_13
<=> e12 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f227,plain,
( e12 != j(e22)
| spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( e12 = j(e22)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl0_14
<=> e11 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f232,plain,
( e11 = j(e22)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl0_15
<=> e10 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f236,plain,
( e10 = j(e22)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f12,f234,f230,f226,f222,f218]) ).
fof(f239,definition,
( spl0_16
<=> e14 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f240,plain,
( e14 != j(e21)
| spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f241,plain,
( e14 = j(e21)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f243,definition,
( spl0_17
<=> e13 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f245,plain,
( e13 = j(e21)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl0_18
<=> e12 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f248,plain,
( e12 != j(e21)
| spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f249,plain,
( e12 = j(e21)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl0_19
<=> e11 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f253,plain,
( e11 = j(e21)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_20
<=> e10 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f257,plain,
( e10 = j(e21)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f13,f255,f251,f247,f243,f239]) ).
fof(f260,definition,
( spl0_21
<=> e14 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f261,plain,
( e14 != j(e20)
| spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( e14 = j(e20)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl0_22
<=> e13 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f266,plain,
( e13 = j(e20)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_23
<=> e12 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f269,plain,
( e12 != j(e20)
| spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f270,plain,
( e12 = j(e20)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_24
<=> e11 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f274,plain,
( e11 = j(e20)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl0_25
<=> e10 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f278,plain,
( e10 = j(e20)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f281,definition,
( spl0_26
<=> e24 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f283,plain,
( e24 = h(e14)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl0_27
<=> e23 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f287,plain,
( e23 = h(e14)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f289,definition,
( spl0_28
<=> e22 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f291,plain,
( e22 = h(e14)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,definition,
( spl0_29
<=> e21 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f295,plain,
( e21 = h(e14)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl0_30
<=> e20 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f299,plain,
( e20 = h(e14)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f15,f297,f293,f289,f285,f281]) ).
fof(f302,definition,
( spl0_31
<=> e24 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f304,plain,
( e24 = h(e13)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl0_32
<=> e23 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f308,plain,
( e23 = h(e13)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl0_33
<=> e22 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f312,plain,
( e22 = h(e13)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl0_34
<=> e21 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f316,plain,
( e21 = h(e13)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl0_35
<=> e20 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f320,plain,
( e20 = h(e13)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f16,f318,f314,f310,f306,f302]) ).
fof(f323,definition,
( spl0_36
<=> e24 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f325,plain,
( e24 = h(e12)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl0_37
<=> e23 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f329,plain,
( e23 = h(e12)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl0_38
<=> e22 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f333,plain,
( e22 = h(e12)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f335,definition,
( spl0_39
<=> e21 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f336,plain,
( e21 != h(e12)
| spl0_39 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f337,plain,
( e21 = h(e12)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl0_40
<=> e20 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f341,plain,
( e20 = h(e12)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f17,f339,f335,f331,f327,f323]) ).
fof(f344,definition,
( spl0_41
<=> e24 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f346,plain,
( e24 = h(e11)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f348,definition,
( spl0_42
<=> e23 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f350,plain,
( e23 = h(e11)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f352,definition,
( spl0_43
<=> e22 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f354,plain,
( e22 = h(e11)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f356,definition,
( spl0_44
<=> e21 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f358,plain,
( e21 = h(e11)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl0_45
<=> e20 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f362,plain,
( e20 = h(e11)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f18,f360,f356,f352,f348,f344]) ).
fof(f365,definition,
( spl0_46
<=> e24 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f367,plain,
( e24 = h(e10)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl0_47
<=> e23 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f371,plain,
( e23 = h(e10)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f373,definition,
( spl0_48
<=> e22 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f375,plain,
( e22 = h(e10)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f377,definition,
( spl0_49
<=> e21 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f379,plain,
( e21 = h(e10)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f381,definition,
( spl0_50
<=> e20 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f383,plain,
( e20 = h(e10)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f384,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f19,f381,f377,f373,f369,f365]) ).
fof(f385,plain,
j(e24) = op1(j(e24),j(e24)),
inference(forward_demodulation,[],[f30,f80]) ).
fof(f386,plain,
j(e21) = op1(j(e24),j(e23)),
inference(forward_demodulation,[],[f31,f81]) ).
fof(f387,plain,
j(e20) = op1(j(e24),j(e22)),
inference(forward_demodulation,[],[f32,f82]) ).
fof(f388,plain,
j(e22) = op1(j(e24),j(e21)),
inference(forward_demodulation,[],[f33,f83]) ).
fof(f389,plain,
j(e23) = op1(j(e24),j(e20)),
inference(forward_demodulation,[],[f34,f84]) ).
fof(f390,plain,
j(e22) = op1(j(e23),j(e24)),
inference(forward_demodulation,[],[f35,f85]) ).
fof(f391,plain,
j(e23) = op1(j(e23),j(e23)),
inference(forward_demodulation,[],[f36,f86]) ).
fof(f435,plain,
( e14 = j(e24)
| ~ spl0_26 ),
inference(superposition,[],[f20,f283]) ).
fof(f440,plain,
( e14 = j(e23)
| ~ spl0_27 ),
inference(superposition,[],[f20,f287]) ).
fof(f441,plain,
( e13 = j(e24)
| ~ spl0_31 ),
inference(superposition,[],[f21,f304]) ).
fof(f442,plain,
( e12 = j(e24)
| ~ spl0_36 ),
inference(superposition,[],[f22,f325]) ).
fof(f443,plain,
( spl0_3
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f442,f323,f184]) ).
fof(f445,plain,
( e12 = j(e23)
| ~ spl0_37 ),
inference(superposition,[],[f22,f329]) ).
fof(f446,plain,
( spl0_8
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f445,f327,f205]) ).
fof(f459,plain,
( e14 = j(e22)
| ~ spl0_28 ),
inference(superposition,[],[f20,f291]) ).
fof(f460,plain,
( e11 = j(e24)
| ~ spl0_41 ),
inference(superposition,[],[f23,f346]) ).
fof(f461,plain,
( spl0_4
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f460,f344,f188]) ).
fof(f463,plain,
( e11 = j(e23)
| ~ spl0_42 ),
inference(superposition,[],[f23,f350]) ).
fof(f464,plain,
( spl0_9
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f463,f348,f209]) ).
fof(f467,plain,
( e11 = j(e22)
| ~ spl0_43 ),
inference(superposition,[],[f23,f354]) ).
fof(f468,plain,
( spl0_14
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f467,f352,f230]) ).
fof(f479,plain,
( e11 = j(e21)
| ~ spl0_44 ),
inference(superposition,[],[f23,f358]) ).
fof(f480,plain,
( spl0_19
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f479,f356,f251]) ).
fof(f488,plain,
( e10 = j(e24)
| ~ spl0_46 ),
inference(superposition,[],[f24,f367]) ).
fof(f489,plain,
( spl0_5
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f488,f365,f192]) ).
fof(f491,plain,
( e10 = j(e23)
| ~ spl0_47 ),
inference(superposition,[],[f24,f371]) ).
fof(f492,plain,
( spl0_10
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f491,f369,f213]) ).
fof(f495,plain,
( e10 = j(e22)
| ~ spl0_48 ),
inference(superposition,[],[f24,f375]) ).
fof(f496,plain,
( spl0_15
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f495,f373,f234]) ).
fof(f500,plain,
( e10 = j(e21)
| ~ spl0_49 ),
inference(superposition,[],[f24,f379]) ).
fof(f501,plain,
( spl0_20
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f500,f377,f255]) ).
fof(f506,plain,
( e10 = j(e20)
| ~ spl0_50 ),
inference(superposition,[],[f24,f383]) ).
fof(f507,plain,
( spl0_25
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f506,f381,f276]) ).
fof(f523,plain,
( e10 = e13
| ~ spl0_5
| ~ spl0_31 ),
inference(forward_demodulation,[],[f441,f194]) ).
fof(f524,plain,
( $false
| ~ spl0_5
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f523,f172]) ).
fof(f525,plain,
( ~ spl0_5
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f524]) ).
fof(f527,plain,
( e13 = j(e23)
| ~ spl0_32 ),
inference(superposition,[],[f21,f308]) ).
fof(f533,plain,
( e13 = j(e22)
| ~ spl0_33 ),
inference(superposition,[],[f21,f312]) ).
fof(f534,plain,
( spl0_12
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f533,f310,f222]) ).
fof(f538,plain,
( e13 = j(e21)
| ~ spl0_34 ),
inference(superposition,[],[f21,f316]) ).
fof(f539,plain,
( e11 = e13
| ~ spl0_19
| ~ spl0_34 ),
inference(forward_demodulation,[],[f538,f253]) ).
fof(f540,plain,
( $false
| ~ spl0_19
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f539,f169]) ).
fof(f541,plain,
( ~ spl0_19
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f543,plain,
( spl0_17
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f538,f314,f243]) ).
fof(f556,plain,
( e11 = j(e20)
| ~ spl0_45 ),
inference(superposition,[],[f23,f362]) ).
fof(f557,plain,
( spl0_24
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f556,f360,f272]) ).
fof(f579,plain,
( e10 = e12
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f215,f207]) ).
fof(f583,plain,
( $false
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f579,f173]) ).
fof(f584,plain,
( ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f590,plain,
( $false
| spl0_11
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f459,f219]) ).
fof(f591,plain,
( spl0_11
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f626,plain,
( e23 = h(e12)
| ~ spl0_8 ),
inference(superposition,[],[f26,f207]) ).
fof(f631,plain,
( j(e21) = op1(e11,j(e23))
| ~ spl0_4 ),
inference(superposition,[],[f386,f190]) ).
fof(f632,plain,
( j(e21) = op1(j(e24),e12)
| ~ spl0_8 ),
inference(superposition,[],[f386,f207]) ).
fof(f634,plain,
( op1(e11,e12) = j(e21)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f631,f207]) ).
fof(f636,plain,
( e13 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f634,f245]) ).
fof(f638,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f636,f122]) ).
fof(f641,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f638,f169]) ).
fof(f642,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f663,plain,
( op1(e10,e12) = j(e21)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f632,f194]) ).
fof(f664,plain,
( e13 = op1(e10,e12)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f663,f245]) ).
fof(f665,plain,
( e10 = e13
| ~ spl0_5
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f664,f127]) ).
fof(f666,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f665,f172]) ).
fof(f667,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f666]) ).
fof(f676,plain,
( e13 = op1(e13,e13)
| ~ spl0_2 ),
inference(superposition,[],[f385,f182]) ).
fof(f680,plain,
( e10 = e13
| ~ spl0_2 ),
inference(forward_demodulation,[],[f676,f111]) ).
fof(f682,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f680,f172]) ).
fof(f683,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f691,plain,
( e14 = op1(e14,e14)
| ~ spl0_1 ),
inference(superposition,[],[f385,f178]) ).
fof(f695,plain,
( e11 = e14
| ~ spl0_1 ),
inference(forward_demodulation,[],[f691,f105]) ).
fof(f697,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f695,f168]) ).
fof(f698,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f702,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_31 ),
inference(forward_demodulation,[],[f441,f190]) ).
fof(f709,plain,
( $false
| ~ spl0_4
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f702,f169]) ).
fof(f710,plain,
( ~ spl0_4
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f714,plain,
( op1(e10,e12) = j(e21)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f632,f194]) ).
fof(f715,plain,
( e11 = op1(e10,e12)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[],[f714,f253]) ).
fof(f716,plain,
( e10 = e11
| ~ spl0_5
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[],[f715,f127]) ).
fof(f717,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f716,f174]) ).
fof(f718,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f721,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(superposition,[],[f25,f194]) ).
fof(f736,plain,
( e24 = h(e12)
| ~ spl0_3 ),
inference(superposition,[],[f25,f186]) ).
fof(f740,plain,
( j(e21) = op1(e12,j(e23))
| ~ spl0_3 ),
inference(superposition,[],[f386,f186]) ).
fof(f746,plain,
( e21 = e24
| ~ spl0_3
| ~ spl0_39 ),
inference(forward_demodulation,[],[f736,f337]) ).
fof(f749,plain,
( $false
| ~ spl0_3
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f746,f158]) ).
fof(f750,plain,
( ~ spl0_3
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f749]) ).
fof(f753,plain,
( e23 = h(e10)
| ~ spl0_10 ),
inference(superposition,[],[f26,f215]) ).
fof(f771,plain,
( e22 = h(e10)
| ~ spl0_15 ),
inference(superposition,[],[f27,f236]) ).
fof(f797,plain,
( op1(e12,e11) = j(e21)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f740,f211]) ).
fof(f798,plain,
( e14 = op1(e12,e11)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f797,f241]) ).
fof(f799,plain,
( e13 = e14
| ~ spl0_3
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f798,f118]) ).
fof(f800,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f799,f165]) ).
fof(f801,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f800]) ).
fof(f814,plain,
( spl0_37
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f626,f205,f327]) ).
fof(f823,plain,
( j(e21) = op1(j(e24),e12)
| ~ spl0_8 ),
inference(superposition,[],[f386,f207]) ).
fof(f825,plain,
( op1(e12,e12) = j(e21)
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f823,f186]) ).
fof(f829,plain,
( e21 = h(e12)
| ~ spl0_18 ),
inference(superposition,[],[f28,f249]) ).
fof(f830,plain,
( $false
| ~ spl0_18
| spl0_39 ),
inference(forward_subsumption_resolution,[],[f829,f336]) ).
fof(f831,plain,
( ~ spl0_18
| spl0_39 ),
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f838,plain,
( e21 = h(e10)
| ~ spl0_20 ),
inference(superposition,[],[f28,f257]) ).
fof(f847,plain,
( e14 = j(e20)
| ~ spl0_30 ),
inference(superposition,[],[f20,f299]) ).
fof(f848,plain,
( $false
| spl0_21
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f847,f261]) ).
fof(f849,plain,
( spl0_21
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f848]) ).
fof(f851,plain,
( e11 = e14
| ~ spl0_24
| ~ spl0_30 ),
inference(forward_demodulation,[],[f847,f274]) ).
fof(f854,plain,
( $false
| ~ spl0_24
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f851,f168]) ).
fof(f855,plain,
( ~ spl0_24
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f854]) ).
fof(f857,plain,
( $false
| spl0_1
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f435,f177]) ).
fof(f858,plain,
( spl0_1
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f857]) ).
fof(f864,plain,
( e14 = j(e21)
| ~ spl0_29 ),
inference(superposition,[],[f20,f295]) ).
fof(f865,plain,
( $false
| spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f864,f240]) ).
fof(f866,plain,
( spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f865]) ).
fof(f882,plain,
( e13 = j(e20)
| ~ spl0_35 ),
inference(superposition,[],[f21,f320]) ).
fof(f888,plain,
( e13 = e14
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f224,f220]) ).
fof(f893,plain,
( $false
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f888,f165]) ).
fof(f894,plain,
( ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f893]) ).
fof(f896,plain,
( e12 = e13
| ~ spl0_3
| ~ spl0_31 ),
inference(forward_demodulation,[],[f441,f186]) ).
fof(f900,plain,
( $false
| ~ spl0_3
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f896,f167]) ).
fof(f901,plain,
( ~ spl0_3
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f900]) ).
fof(f923,plain,
( e10 = e13
| ~ spl0_25
| ~ spl0_35 ),
inference(forward_demodulation,[],[f882,f278]) ).
fof(f926,plain,
( e12 = j(e21)
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f825,f117]) ).
fof(f927,plain,
( $false
| ~ spl0_25
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f923,f172]) ).
fof(f928,plain,
( ~ spl0_25
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f927]) ).
fof(f931,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f926,f248]) ).
fof(f932,plain,
( ~ spl0_3
| ~ spl0_8
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f931]) ).
fof(f934,plain,
( spl0_49
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f838,f255,f377]) ).
fof(f945,plain,
( spl0_22
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f882,f318,f264]) ).
fof(f954,plain,
( j(e21) = op1(e11,j(e23))
| ~ spl0_4 ),
inference(superposition,[],[f386,f190]) ).
fof(f955,plain,
( op1(e11,e12) = j(e21)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f954,f207]) ).
fof(f972,plain,
( e21 = e23
| ~ spl0_37
| ~ spl0_39 ),
inference(superposition,[],[f337,f329]) ).
fof(f974,plain,
( e12 = j(e21)
| ~ spl0_39 ),
inference(superposition,[],[f22,f337]) ).
fof(f978,plain,
( $false
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f972,f159]) ).
fof(f979,plain,
( ~ spl0_37
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f978]) ).
fof(f987,plain,
( j(e20) = op1(e11,j(e22))
| ~ spl0_4 ),
inference(superposition,[],[f387,f190]) ).
fof(f993,plain,
( j(e22) = op1(e11,j(e21))
| ~ spl0_4 ),
inference(superposition,[],[f388,f190]) ).
fof(f996,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f993,f257]) ).
fof(f998,plain,
( e14 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f996,f220]) ).
fof(f1000,plain,
( e10 = e14
| ~ spl0_4
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f998,f124]) ).
fof(f1003,plain,
( $false
| ~ spl0_4
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1000,f171]) ).
fof(f1004,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1003]) ).
fof(f1005,plain,
( spl0_48
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f771,f234,f373]) ).
fof(f1008,plain,
( e13 = e14
| ~ spl0_22
| ~ spl0_30 ),
inference(forward_demodulation,[],[f847,f266]) ).
fof(f1014,plain,
( e14 = op1(e11,e12)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f955,f241]) ).
fof(f1019,plain,
( op1(e11,e10) = j(e20)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f987,f236]) ).
fof(f1022,plain,
( $false
| ~ spl0_22
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1008,f165]) ).
fof(f1023,plain,
( ~ spl0_22
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1022]) ).
fof(f1025,plain,
( e11 = e14
| ~ spl0_4
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1014,f122]) ).
fof(f1027,plain,
( e13 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1019,f266]) ).
fof(f1030,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1025,f168]) ).
fof(f1031,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1030]) ).
fof(f1032,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1027,f124]) ).
fof(f1033,plain,
( $false
| ~ spl0_4
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1032,f172]) ).
fof(f1034,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1033]) ).
fof(f1037,plain,
( e10 = e13
| ~ spl0_15
| ~ spl0_33 ),
inference(forward_demodulation,[],[f533,f236]) ).
fof(f1040,plain,
( e14 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1019,f262]) ).
fof(f1048,plain,
( $false
| ~ spl0_15
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f1037,f172]) ).
fof(f1049,plain,
( ~ spl0_15
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f1048]) ).
fof(f1050,plain,
( e10 = e14
| ~ spl0_4
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1040,f124]) ).
fof(f1052,plain,
( $false
| ~ spl0_4
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1050,f171]) ).
fof(f1053,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1052]) ).
fof(f1060,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f993,f257]) ).
fof(f1062,plain,
( e13 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1060,f224]) ).
fof(f1064,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1062,f124]) ).
fof(f1066,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1064,f172]) ).
fof(f1067,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1066]) ).
fof(f1070,plain,
( e21 = e24
| ~ spl0_5
| ~ spl0_49 ),
inference(forward_demodulation,[],[f721,f379]) ).
fof(f1071,plain,
( e10 = e14
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f241,f257]) ).
fof(f1081,plain,
( op1(e10,e12) = j(e21)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f823,f194]) ).
fof(f1082,plain,
( $false
| ~ spl0_5
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1070,f158]) ).
fof(f1083,plain,
( ~ spl0_5
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1082]) ).
fof(f1084,plain,
( $false
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1071,f171]) ).
fof(f1085,plain,
( ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1084]) ).
fof(f1092,plain,
( e14 = op1(e10,e12)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1081,f241]) ).
fof(f1093,plain,
( e10 = e14
| ~ spl0_5
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1092,f127]) ).
fof(f1094,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1093,f171]) ).
fof(f1095,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1094]) ).
fof(f1097,plain,
( spl0_47
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f753,f213,f369]) ).
fof(f1099,plain,
( spl0_39
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f829,f247,f335]) ).
fof(f1112,plain,
( e11 = op1(e11,e11)
| ~ spl0_4 ),
inference(superposition,[],[f385,f190]) ).
fof(f1113,plain,
( j(e21) = op1(e11,j(e23))
| ~ spl0_4 ),
inference(superposition,[],[f386,f190]) ).
fof(f1115,plain,
( j(e22) = op1(e11,j(e21))
| ~ spl0_4 ),
inference(superposition,[],[f388,f190]) ).
fof(f1118,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1113,f215]) ).
fof(f1121,plain,
( e12 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1118,f249]) ).
fof(f1123,plain,
( e10 = e12
| ~ spl0_4
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1121,f124]) ).
fof(f1126,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1123,f173]) ).
fof(f1127,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1126]) ).
fof(f1128,plain,
( $false
| spl0_18
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f974,f248]) ).
fof(f1129,plain,
( spl0_18
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1128]) ).
fof(f1131,plain,
( e11 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1118,f253]) ).
fof(f1133,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1131,f124]) ).
fof(f1134,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1133,f174]) ).
fof(f1135,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1134]) ).
fof(f1140,plain,
( e14 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1118,f241]) ).
fof(f1142,plain,
( e10 = e14
| ~ spl0_4
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1140,f124]) ).
fof(f1144,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1142,f171]) ).
fof(f1145,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1144]) ).
fof(f1148,plain,
( $false
| spl0_6
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f440,f198]) ).
fof(f1149,plain,
( spl0_6
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1148]) ).
fof(f1154,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1115,f257]) ).
fof(f1158,plain,
( e12 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1154,f228]) ).
fof(f1160,plain,
( e10 = e12
| ~ spl0_4
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1158,f124]) ).
fof(f1162,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1160,f173]) ).
fof(f1163,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1162]) ).
fof(f1168,plain,
( e11 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1154,f232]) ).
fof(f1173,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1168,f124]) ).
fof(f1177,plain,
( $false
| ~ spl0_4
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1173,f174]) ).
fof(f1178,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1177]) ).
fof(f1202,plain,
( op1(e11,e11) = j(e22)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1115,f253]) ).
fof(f1204,plain,
( e13 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1202,f224]) ).
fof(f1206,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1204,f1112]) ).
fof(f1207,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1206,f169]) ).
fof(f1208,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1207]) ).
fof(f1256,plain,
( e12 = j(e20)
| ~ spl0_40 ),
inference(superposition,[],[f22,f341]) ).
fof(f1257,plain,
( $false
| spl0_23
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1256,f269]) ).
fof(f1258,plain,
( spl0_23
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1257]) ).
fof(f1270,plain,
( e12 = j(e22)
| ~ spl0_38 ),
inference(superposition,[],[f22,f333]) ).
fof(f1271,plain,
( $false
| spl0_13
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1270,f227]) ).
fof(f1272,plain,
( spl0_13
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f1271]) ).
fof(f1285,plain,
( e11 = e12
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f186,f190]) ).
fof(f1297,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1285,f170]) ).
fof(f1298,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f1297]) ).
fof(f1316,plain,
( $false
| spl0_7
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f527,f202]) ).
fof(f1317,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1316]) ).
fof(f1318,plain,
( op1(e11,e11) = j(e21)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1113,f211]) ).
fof(f1330,plain,
( e12 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1318,f249]) ).
fof(f1339,plain,
( e11 = e12
| ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1330,f1112]) ).
fof(f1343,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1339,f170]) ).
fof(f1344,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1343]) ).
fof(f1398,plain,
( op1(e11,e10) = j(e21)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1113,f215]) ).
fof(f1399,plain,
( e13 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1398,f245]) ).
fof(f1400,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1399,f124]) ).
fof(f1401,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1400,f172]) ).
fof(f1402,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1401]) ).
fof(f1420,plain,
( e22 = h(e11)
| ~ spl0_14 ),
inference(superposition,[],[f27,f232]) ).
fof(f1427,plain,
( spl0_43
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1420,f230,f352]) ).
fof(f1488,plain,
( j(e23) = op1(e11,j(e20))
| ~ spl0_4 ),
inference(superposition,[],[f389,f190]) ).
fof(f1546,plain,
( op1(e11,e10) = j(e23)
| ~ spl0_4
| ~ spl0_25 ),
inference(forward_demodulation,[],[f1488,f278]) ).
fof(f1550,plain,
( op1(e11,e11) = j(e21)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1113,f211]) ).
fof(f1557,plain,
( e11 = op1(e11,e10)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_25 ),
inference(forward_demodulation,[],[f1546,f211]) ).
fof(f1558,plain,
( e13 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1550,f245]) ).
fof(f1559,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_9
| ~ spl0_25 ),
inference(forward_demodulation,[],[f1557,f124]) ).
fof(f1560,plain,
( e11 = e13
| ~ spl0_4
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1558,f1112]) ).
fof(f1561,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1559,f174]) ).
fof(f1562,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1561]) ).
fof(f1563,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1560,f169]) ).
fof(f1564,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1563]) ).
fof(f1583,plain,
( j(e20) = op1(e12,j(e22))
| ~ spl0_3 ),
inference(superposition,[],[f387,f186]) ).
fof(f1588,plain,
( op1(e12,e14) = j(e20)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1583,f220]) ).
fof(f1592,plain,
( e13 = op1(e12,e14)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1588,f266]) ).
fof(f1595,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1592,f115]) ).
fof(f1598,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1595,f172]) ).
fof(f1599,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1598]) ).
fof(f1600,plain,
( e23 = e24
| ~ spl0_5
| ~ spl0_47 ),
inference(forward_demodulation,[],[f721,f371]) ).
fof(f1609,plain,
( $false
| ~ spl0_5
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1600,f155]) ).
fof(f1610,plain,
( ~ spl0_5
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1609]) ).
fof(f1620,plain,
( j(e22) = op1(e10,j(e21))
| ~ spl0_5 ),
inference(superposition,[],[f388,f194]) ).
fof(f1623,plain,
( op1(e10,e12) = j(e22)
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1620,f249]) ).
fof(f1627,plain,
( e14 = op1(e10,e12)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1623,f220]) ).
fof(f1630,plain,
( e10 = e14
| ~ spl0_5
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1627,f127]) ).
fof(f1631,plain,
( $false
| ~ spl0_5
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1630,f171]) ).
fof(f1632,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1631]) ).
fof(f1674,plain,
( j(e20) = op1(e12,j(e22))
| ~ spl0_3 ),
inference(superposition,[],[f387,f186]) ).
fof(f1679,plain,
( op1(e12,e14) = j(e20)
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1674,f220]) ).
fof(f1700,plain,
( e11 = op1(e12,e14)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1679,f274]) ).
fof(f1704,plain,
( e10 = e11
| ~ spl0_3
| ~ spl0_11
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1700,f115]) ).
fof(f1706,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1704,f174]) ).
fof(f1707,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1706]) ).
fof(f1730,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(superposition,[],[f25,f194]) ).
fof(f1733,plain,
( j(e21) = op1(e10,j(e23))
| ~ spl0_5 ),
inference(superposition,[],[f386,f194]) ).
fof(f1736,plain,
( j(e23) = op1(e10,j(e20))
| ~ spl0_5 ),
inference(superposition,[],[f389,f194]) ).
fof(f1737,plain,
( op1(e10,e12) = j(e23)
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1736,f270]) ).
fof(f1740,plain,
( op1(e10,e11) = j(e21)
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1733,f211]) ).
fof(f1741,plain,
( e11 = op1(e10,e12)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1737,f211]) ).
fof(f1744,plain,
( e13 = op1(e10,e11)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1740,f245]) ).
fof(f1745,plain,
( e10 = e11
| ~ spl0_5
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1741,f127]) ).
fof(f1747,plain,
( e12 = e13
| ~ spl0_5
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1744,f128]) ).
fof(f1748,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1745,f174]) ).
fof(f1749,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1748]) ).
fof(f1752,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1747,f167]) ).
fof(f1753,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1752]) ).
fof(f1765,plain,
( j(e23) = op1(e12,j(e20))
| ~ spl0_3 ),
inference(superposition,[],[f389,f186]) ).
fof(f1774,plain,
( e23 = h(e11)
| ~ spl0_9 ),
inference(superposition,[],[f26,f211]) ).
fof(f1823,plain,
( j(e22) = op1(e11,j(e24))
| ~ spl0_9 ),
inference(superposition,[],[f390,f211]) ).
fof(f1826,plain,
( op1(e11,e12) = j(e22)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1823,f186]) ).
fof(f1828,plain,
( e14 = op1(e11,e12)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1826,f220]) ).
fof(f1830,plain,
( e11 = e14
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1828,f122]) ).
fof(f1833,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1830,f168]) ).
fof(f1834,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1833]) ).
fof(f1861,plain,
( e22 = e23
| ~ spl0_9
| ~ spl0_43 ),
inference(forward_demodulation,[],[f1774,f354]) ).
fof(f1868,plain,
( op1(e12,e14) = j(e23)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1765,f262]) ).
fof(f1875,plain,
( $false
| ~ spl0_9
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1861,f157]) ).
fof(f1876,plain,
( ~ spl0_9
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f1875]) ).
fof(f1879,plain,
( e11 = op1(e12,e14)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1868,f211]) ).
fof(f1883,plain,
( e10 = e11
| ~ spl0_3
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1879,f115]) ).
fof(f1886,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1883,f174]) ).
fof(f1887,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1886]) ).
fof(f1890,plain,
( e22 = e24
| ~ spl0_5
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1730,f375]) ).
fof(f1905,plain,
( $false
| ~ spl0_5
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1890,f156]) ).
fof(f1906,plain,
( ~ spl0_5
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1905]) ).
fof(f1924,plain,
( j(e20) = op1(e10,j(e22))
| ~ spl0_5 ),
inference(superposition,[],[f387,f194]) ).
fof(f1927,plain,
( j(e22) = op1(j(e23),e10)
| ~ spl0_5 ),
inference(superposition,[],[f390,f194]) ).
fof(f1949,plain,
( op1(e10,e12) = j(e20)
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1924,f228]) ).
fof(f1972,plain,
( e13 = op1(e10,e12)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1949,f266]) ).
fof(f1977,plain,
( e10 = e13
| ~ spl0_5
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1972,f127]) ).
fof(f1980,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1977,f172]) ).
fof(f1981,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1980]) ).
fof(f2060,plain,
( op1(e11,e10) = j(e22)
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1927,f211]) ).
fof(f2065,plain,
( e13 = op1(e11,e10)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2060,f224]) ).
fof(f2069,plain,
( e10 = e13
| ~ spl0_5
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2065,f124]) ).
fof(f2074,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f2069,f172]) ).
fof(f2075,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f2074]) ).
fof(f2094,plain,
( j(e21) = op1(e12,j(e23))
| ~ spl0_3 ),
inference(superposition,[],[f386,f186]) ).
fof(f2098,plain,
( j(e22) = op1(j(e23),e12)
| ~ spl0_3 ),
inference(superposition,[],[f390,f186]) ).
fof(f2174,plain,
( e14 = op1(e14,e14)
| ~ spl0_6 ),
inference(superposition,[],[f391,f199]) ).
fof(f2175,plain,
( e11 = e14
| ~ spl0_6 ),
inference(forward_demodulation,[],[f2174,f105]) ).
fof(f2176,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f2175,f168]) ).
fof(f2177,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f2176]) ).
fof(f2183,plain,
( op1(e10,e12) = j(e22)
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2098,f215]) ).
fof(f2184,plain,
( op1(e12,e10) = j(e21)
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2094,f215]) ).
fof(f2188,plain,
( e11 = op1(e10,e12)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f2183,f232]) ).
fof(f2189,plain,
( e14 = op1(e12,e10)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2184,f241]) ).
fof(f2191,plain,
( e10 = e11
| ~ spl0_3
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f2188,f127]) ).
fof(f2192,plain,
( e11 = e14
| ~ spl0_3
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f2189,f119]) ).
fof(f2195,plain,
( $false
| ~ spl0_3
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f2191,f174]) ).
fof(f2196,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f2195]) ).
fof(f2197,plain,
( $false
| ~ spl0_3
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2192,f168]) ).
fof(f2198,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2197]) ).
fof(f2211,plain,
( e13 = op1(e10,e12)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2183,f224]) ).
fof(f2215,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2211,f127]) ).
fof(f2216,plain,
( $false
| ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f2215,f172]) ).
fof(f2217,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f2216]) ).
fof(f2254,plain,
( e13 = op1(e13,e13)
| ~ spl0_7 ),
inference(superposition,[],[f391,f203]) ).
fof(f2255,plain,
( e10 = e13
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2254,f111]) ).
fof(f2258,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f2255,f172]) ).
fof(f2259,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f2258]) ).
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(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(s12,plain,
( spl0_3
| ~ spl0_36 ),
inference(sat_conversion,[],[f443]) ).
cnf(s13,plain,
( spl0_8
| ~ spl0_37 ),
inference(sat_conversion,[],[f446]) ).
cnf(s17,plain,
( spl0_4
| ~ spl0_41 ),
inference(sat_conversion,[],[f461]) ).
cnf(s18,plain,
( spl0_9
| ~ spl0_42 ),
inference(sat_conversion,[],[f464]) ).
cnf(s19,plain,
( spl0_14
| ~ spl0_43 ),
inference(sat_conversion,[],[f468]) ).
cnf(s22,plain,
( spl0_19
| ~ spl0_44 ),
inference(sat_conversion,[],[f480]) ).
cnf(s25,plain,
( spl0_5
| ~ spl0_46 ),
inference(sat_conversion,[],[f489]) ).
cnf(s26,plain,
( spl0_10
| ~ spl0_47 ),
inference(sat_conversion,[],[f492]) ).
cnf(s27,plain,
( spl0_15
| ~ spl0_48 ),
inference(sat_conversion,[],[f496]) ).
cnf(s28,plain,
( spl0_20
| ~ spl0_49 ),
inference(sat_conversion,[],[f501]) ).
cnf(s29,plain,
( spl0_25
| ~ spl0_50 ),
inference(sat_conversion,[],[f507]) ).
cnf(s34,plain,
( ~ spl0_5
| ~ spl0_31 ),
inference(sat_conversion,[],[f525]) ).
cnf(s36,plain,
( spl0_12
| ~ spl0_33 ),
inference(sat_conversion,[],[f534]) ).
cnf(s37,plain,
( ~ spl0_19
| ~ spl0_34 ),
inference(sat_conversion,[],[f541]) ).
cnf(s38,plain,
( spl0_17
| ~ spl0_34 ),
inference(sat_conversion,[],[f543]) ).
cnf(s41,plain,
( spl0_24
| ~ spl0_45 ),
inference(sat_conversion,[],[f557]) ).
cnf(s47,plain,
( ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f584]) ).
cnf(s48,plain,
( spl0_11
| ~ spl0_28 ),
inference(sat_conversion,[],[f591]) ).
cnf(s54,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_17 ),
inference(sat_conversion,[],[f642]) ).
cnf(s58,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_17 ),
inference(sat_conversion,[],[f667]) ).
cnf(s60,plain,
~ spl0_2,
inference(sat_conversion,[],[f683]) ).
cnf(s62,plain,
~ spl0_1,
inference(sat_conversion,[],[f698]) ).
cnf(s64,plain,
( ~ spl0_4
| ~ spl0_31 ),
inference(sat_conversion,[],[f710]) ).
cnf(s65,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_19 ),
inference(sat_conversion,[],[f718]) ).
cnf(s70,plain,
( ~ spl0_3
| ~ spl0_39 ),
inference(sat_conversion,[],[f750]) ).
cnf(s77,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_16 ),
inference(sat_conversion,[],[f801]) ).
cnf(s79,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f814]) ).
cnf(s81,plain,
( ~ spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f831]) ).
cnf(s83,plain,
( spl0_21
| ~ spl0_30 ),
inference(sat_conversion,[],[f849]) ).
cnf(s85,plain,
( ~ spl0_24
| ~ spl0_30 ),
inference(sat_conversion,[],[f855]) ).
cnf(s86,plain,
( spl0_1
| ~ spl0_26 ),
inference(sat_conversion,[],[f858]) ).
cnf(s87,plain,
( spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f866]) ).
cnf(s91,plain,
( ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f894]) ).
cnf(s92,plain,
( ~ spl0_3
| ~ spl0_31 ),
inference(sat_conversion,[],[f901]) ).
cnf(s98,plain,
( ~ spl0_25
| ~ spl0_35 ),
inference(sat_conversion,[],[f928]) ).
cnf(s100,plain,
( ~ spl0_3
| ~ spl0_8
| spl0_18 ),
inference(sat_conversion,[],[f932]) ).
cnf(s102,plain,
( ~ spl0_20
| spl0_49 ),
inference(sat_conversion,[],[f934]) ).
cnf(s103,plain,
( spl0_22
| ~ spl0_35 ),
inference(sat_conversion,[],[f945]) ).
cnf(s106,plain,
( ~ spl0_37
| ~ spl0_39 ),
inference(sat_conversion,[],[f979]) ).
cnf(s109,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_20 ),
inference(sat_conversion,[],[f1004]) ).
cnf(s110,plain,
( ~ spl0_15
| spl0_48 ),
inference(sat_conversion,[],[f1005]) ).
cnf(s113,plain,
( ~ spl0_22
| ~ spl0_30 ),
inference(sat_conversion,[],[f1023]) ).
cnf(s115,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_16 ),
inference(sat_conversion,[],[f1031]) ).
cnf(s116,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_22 ),
inference(sat_conversion,[],[f1034]) ).
cnf(s120,plain,
( ~ spl0_15
| ~ spl0_33 ),
inference(sat_conversion,[],[f1049]) ).
cnf(s121,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f1053]) ).
cnf(s124,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_20 ),
inference(sat_conversion,[],[f1067]) ).
cnf(s127,plain,
( ~ spl0_5
| ~ spl0_49 ),
inference(sat_conversion,[],[f1083]) ).
cnf(s128,plain,
( ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f1085]) ).
cnf(s132,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_16 ),
inference(sat_conversion,[],[f1095]) ).
cnf(s135,plain,
( ~ spl0_10
| spl0_47 ),
inference(sat_conversion,[],[f1097]) ).
cnf(s138,plain,
( ~ spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f1099]) ).
cnf(s140,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_18 ),
inference(sat_conversion,[],[f1127]) ).
cnf(s142,plain,
( spl0_18
| ~ spl0_39 ),
inference(sat_conversion,[],[f1129]) ).
cnf(s143,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_19 ),
inference(sat_conversion,[],[f1135]) ).
cnf(s144,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_16 ),
inference(sat_conversion,[],[f1145]) ).
cnf(s148,plain,
( spl0_6
| ~ spl0_27 ),
inference(sat_conversion,[],[f1149]) ).
cnf(s149,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_20 ),
inference(sat_conversion,[],[f1163]) ).
cnf(s153,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_20 ),
inference(sat_conversion,[],[f1178]) ).
cnf(s161,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_19 ),
inference(sat_conversion,[],[f1208]) ).
cnf(s164,plain,
( spl0_23
| ~ spl0_40 ),
inference(sat_conversion,[],[f1258]) ).
cnf(s167,plain,
( spl0_13
| ~ spl0_38 ),
inference(sat_conversion,[],[f1272]) ).
cnf(s171,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f1298]) ).
cnf(s178,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f1317]) ).
cnf(s184,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_18 ),
inference(sat_conversion,[],[f1344]) ).
cnf(s193,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_17 ),
inference(sat_conversion,[],[f1402]) ).
cnf(s198,plain,
( ~ spl0_14
| spl0_43 ),
inference(sat_conversion,[],[f1427]) ).
cnf(s223,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_25 ),
inference(sat_conversion,[],[f1562]) ).
cnf(s224,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_17 ),
inference(sat_conversion,[],[f1564]) ).
cnf(s230,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_22 ),
inference(sat_conversion,[],[f1599]) ).
cnf(s233,plain,
( ~ spl0_5
| ~ spl0_47 ),
inference(sat_conversion,[],[f1610]) ).
cnf(s236,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_18 ),
inference(sat_conversion,[],[f1632]) ).
cnf(s256,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_24 ),
inference(sat_conversion,[],[f1707]) ).
cnf(s265,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_23 ),
inference(sat_conversion,[],[f1749]) ).
cnf(s267,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_17 ),
inference(sat_conversion,[],[f1753]) ).
cnf(s275,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f1834]) ).
cnf(s286,plain,
( ~ spl0_9
| ~ spl0_43 ),
inference(sat_conversion,[],[f1876]) ).
cnf(s289,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_21 ),
inference(sat_conversion,[],[f1887]) ).
cnf(s292,plain,
( ~ spl0_5
| ~ spl0_48 ),
inference(sat_conversion,[],[f1906]) ).
cnf(s312,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_22 ),
inference(sat_conversion,[],[f1981]) ).
cnf(s338,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_12 ),
inference(sat_conversion,[],[f2075]) ).
cnf(s354,plain,
~ spl0_6,
inference(sat_conversion,[],[f2177]) ).
cnf(s358,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_14 ),
inference(sat_conversion,[],[f2196]) ).
cnf(s359,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_16 ),
inference(sat_conversion,[],[f2198]) ).
cnf(s364,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(sat_conversion,[],[f2217]) ).
cnf(s373,plain,
~ spl0_7,
inference(sat_conversion,[],[f2259]) ).
cnf(s374,plain,
~ spl0_32,
inference(rat,[],[s178,s373]) ).
cnf(s375,plain,
~ spl0_27,
inference(rat,[],[s148,s354]) ).
cnf(s376,plain,
~ spl0_26,
inference(rat,[],[s86,s62]) ).
cnf(s377,plain,
( spl0_31
| spl0_33
| spl0_34
| spl0_35 ),
inference(rat,[],[s7,s374]) ).
cnf(s378,plain,
( spl0_28
| spl0_29
| spl0_30 ),
inference(rat,[],[s6,s375,s376]) ).
cnf(s379,plain,
( spl0_8
| spl0_9
| spl0_10 ),
inference(rat,[],[s2,s373,s354]) ).
cnf(s380,plain,
( spl0_3
| spl0_4
| spl0_5 ),
inference(rat,[],[s1,s60,s62]) ).
cnf(s381,plain,
( spl0_8
| ~ spl0_5
| spl0_36 ),
inference(rat,[],[s142,s236,s8,s3,s167,s312,s103,s377,s164,s38,s198,s36,s265,s267,s286,s338,s379,s13,s34,s110,s292,s135,s233]) ).
cnf(s382,plain,
( ~ spl0_5
| spl0_36 ),
inference(rat,[],[s81,s4,s106,s58,s65,s132,s79,s381,s102,s127]) ).
cnf(s383,plain,
( ~ spl0_20
| spl0_29
| ~ spl0_4 ),
inference(rat,[],[s83,s121,s378,s3,s48,s124,s149,s153,s109]) ).
cnf(s384,plain,
( spl0_16
| spl0_18
| spl0_17
| spl0_8
| spl0_3 ),
inference(rat,[],[s27,s10,s116,s29,s103,s223,s377,s379,s26,s36,s143,s161,s4,s28,s383,s87,s25,s64,s380,s382,s12,s38]) ).
cnf(s385,plain,
( ~ spl0_15
| spl0_34
| ~ spl0_4 ),
inference(rat,[],[s103,s377,s116,s120,s64]) ).
cnf(s386,plain,
( ~ spl0_16
| spl0_48
| spl0_8
| spl0_3 ),
inference(rat,[],[s29,s223,s10,s379,s26,s28,s144,s128,s25,s380,s382,s12]) ).
cnf(s387,plain,
( ~ spl0_18
| spl0_8
| ~ spl0_4 ),
inference(rat,[],[s379,s140,s184]) ).
cnf(s388,plain,
( spl0_17
| spl0_8
| spl0_3 ),
inference(rat,[],[s27,s386,s385,s384,s38,s387,s380,s382,s12]) ).
cnf(s389,plain,
( spl0_8
| spl0_3 ),
inference(rat,[],[s379,s193,s224,s388,s380,s382,s12]) ).
cnf(s390,plain,
spl0_3,
inference(rat,[],[s377,s98,s36,s29,s161,s10,s27,s4,s28,s385,s383,s138,s38,s87,s26,s106,s54,s115,s47,s79,s389,s64,s380,s25,s382,s12]) ).
cnf(s392,plain,
~ spl0_4,
inference(rat,[],[s171,s390]) ).
cnf(s394,plain,
~ spl0_31,
inference(rat,[],[s92,s390]) ).
cnf(s395,plain,
~ spl0_39,
inference(rat,[],[s70,s390]) ).
cnf(s396,plain,
~ spl0_41,
inference(rat,[],[s17,s392]) ).
cnf(s397,plain,
~ spl0_18,
inference(rat,[],[s138,s395]) ).
cnf(s398,plain,
~ spl0_8,
inference(rat,[],[s100,s390,s397]) ).
cnf(s401,plain,
( ~ spl0_22
| spl0_29 ),
inference(rat,[],[s48,s378,s230,s113,s390]) ).
cnf(s402,plain,
( spl0_29
| spl0_34 ),
inference(rat,[],[s83,s289,s378,s379,s48,s364,s91,s36,s377,s103,s401,s390,s398,s394]) ).
cnf(s403,plain,
~ spl0_16,
inference(rat,[],[s379,s77,s359,s398,s390]) ).
cnf(s404,plain,
~ spl0_29,
inference(rat,[],[s87,s403]) ).
cnf(s406,plain,
spl0_34,
inference(rat,[],[s402,s404]) ).
cnf(s409,plain,
~ spl0_19,
inference(rat,[],[s37,s406]) ).
cnf(s411,plain,
~ spl0_44,
inference(rat,[],[s22,s409]) ).
cnf(s413,plain,
~ spl0_24,
inference(rat,[],[s48,s378,s256,s85,s404,s390]) ).
cnf(s414,plain,
~ spl0_45,
inference(rat,[],[s41,s413]) ).
cnf(s415,plain,
spl0_9,
inference(rat,[],[s19,s358,s9,s379,s18,s390,s414,s411,s396,s398]) ).
cnf(s419,plain,
~ spl0_21,
inference(rat,[],[s289,s390,s415]) ).
cnf(s420,plain,
~ spl0_11,
inference(rat,[],[s275,s390,s415]) ).
cnf(s423,plain,
~ spl0_30,
inference(rat,[],[s83,s419]) ).
cnf(s424,plain,
~ spl0_28,
inference(rat,[],[s48,s420]) ).
cnf(s425,plain,
$false,
inference(rat,[],[s378,s404,s423,s424]) ).
fof(f2262,plain,
$false,
inference(avatar_sat_refutation,[],[s425]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG182+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.19 % Computer : n005.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Mon Sep 28 19:39:02 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.22 Running first-order theorem proving
% 0.12/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.97/1.04 % (1076047)Detected formulas, will run a generic FOF schedule.
% 1.97/1.04 % (1076058)dis-21_1_sil=8000:lcm=predicate:random_seed=181686792:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.97/1.04 % (1076058)Refutation not found, incomplete strategy
% 1.97/1.04 % (1076058)------------------------------
% 1.97/1.04 % (1076058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.97/1.04 % (1076058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/1.04 % (1076058)CaDiCaL version: 2.1.3
% 1.97/1.04 % (1076058)Termination reason: Refutation not found, incomplete strategy
% 1.97/1.04 % (1076058)Time elapsed: 0.003 s
% 1.97/1.04 % (1076058)Peak memory usage: 88 MB
% 1.97/1.04 % (1076058)Instructions burned: 8 (million)
% 1.97/1.04 % (1076052)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1590186708:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.97/1.04 % (1076057)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4279429757:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.97/1.04 % (1076055)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3804234761:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.97/1.04 % (1076056)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4177717108:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.97/1.04 % (1076054)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1213602228:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.97/1.04 % (1076053)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=537350671:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.97/1.04 % (1076056)Instruction limit reached!
% 1.97/1.04 % (1076056)------------------------------
% 1.97/1.04 % (1076056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.97/1.04 % (1076056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/1.04 % (1076056)CaDiCaL version: 2.1.3
% 1.97/1.04 % (1076056)Termination reason: Instruction limit
% 1.97/1.04 % (1076056)Termination phase: Saturation
% 1.97/1.04 % (1076056)Time elapsed: 0.050 s
% 1.97/1.04 % (1076056)Peak memory usage: 87 MB
% 1.97/1.04 % (1076056)Instructions burned: 120 (million)
% 1.97/1.04 % (1076055)Instruction limit reached!
% 1.97/1.04 % (1076055)------------------------------
% 1.97/1.04 % (1076055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.97/1.04 % (1076055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/1.04 % (1076055)CaDiCaL version: 2.1.3
% 1.97/1.04 % (1076055)Termination reason: Instruction limit
% 1.97/1.04 % (1076055)Termination phase: Saturation
% 1.97/1.04 % (1076055)Time elapsed: 0.058 s
% 1.97/1.04 % (1076055)Peak memory usage: 89 MB
% 1.97/1.04 % (1076055)Instructions burned: 110 (million)
% 1.97/1.04 % (1076057)Instruction limit reached!
% 1.97/1.04 % (1076057)------------------------------
% 1.97/1.04 % (1076057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.97/1.04 % (1076057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/1.04 % (1076057)CaDiCaL version: 2.1.3
% 1.97/1.04 % (1076057)Termination reason: Instruction limit
% 1.97/1.04 % (1076057)Termination phase: Saturation
% 1.97/1.04 % (1076057)Time elapsed: 0.075 s
% 1.97/1.04 % (1076057)Peak memory usage: 89 MB
% 1.97/1.04 % (1076057)Instructions burned: 140 (million)
% 1.97/1.04 % (1076058)------------------------------
% 1.97/1.04 % (1076058)------------------------------
% 1.97/1.04 % (1076066)lrs+10_1_sil=8000:sp=occurrence:random_seed=1784083982:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 1.97/1.04 % (1076067)lrs+10_1_sil=32000:urr=on:br=off:random_seed=489703210:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 1.97/1.04 % (1076066)First to succeed.
% 1.97/1.04 % (1076068)lrs+1011_1_sil=32000:sp=occurrence:random_seed=850178720:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 1.97/1.04 % (1076069)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1972062634:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 1.97/1.04 % (1076066)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1076047"
% 1.97/1.04 % (1076067)Also succeeded, but the first one will report.
% 1.97/1.04 % (1076068)Also succeeded, but the first one will report.
% 1.97/1.04 % (1076069)Instruction limit reached!
% 1.97/1.04 % (1076069)------------------------------
% 1.97/1.04 % (1076069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.97/1.04 % (1076069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/1.04 % (1076069)CaDiCaL version: 2.1.3
% 1.97/1.04 % (1076069)Termination reason: Instruction limit
% 1.97/1.04 % (1076069)Termination phase: Saturation
% 1.97/1.04 % (1076069)Time elapsed: 0.075 s
% 1.97/1.04 % (1076069)Peak memory usage: 89 MB
% 1.97/1.04 % (1076069)Instructions burned: 248 (million)
% 1.97/1.04 % (1076074)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1184733075:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 1.97/1.04 [W928 19:39:03.172161660 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 [W928 19:39:03.172190604 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 [W928 19:39:03.172227510 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 [W928 19:39:03.172240627 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 [W928 19:39:03.172267724 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 [W928 19:39:03.172279764 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 [W928 19:39:03.173030185 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 [W928 19:39:03.173059488 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 [W928 19:39:03.173099248 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 [W928 19:39:03.173112122 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 [W928 19:39:03.173138872 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 [W928 19:39:03.173150628 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 [W928 19:39:03.173494362 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 [W928 19:39:03.173521756 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 [W928 19:39:03.173559016 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 [W928 19:39:03.173571972 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 [W928 19:39:03.173598922 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 [W928 19:39:03.173610906 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 1.97/1.04 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 1.97/1.04 % (1076074)Instruction limit reached!
% 1.97/1.04 % (1076074)------------------------------
% 1.97/1.04 % (1076074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.97/1.04 % (1076074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/1.04 % (1076074)CaDiCaL version: 2.1.3
% 1.97/1.04 % (1076074)Termination reason: Instruction limit
% 1.97/1.04 % (1076074)Termination phase: Saturation
% 1.97/1.04 % (1076074)Time elapsed: 0.077 s
% 1.97/1.04 % (1076074)Peak memory usage: 90 MB
% 1.97/1.04 % (1076074)Instructions burned: 294 (million)
% 1.97/1.04 % (1076066)Refutation found. Thanks to Tanya!
% 1.97/1.04 % SZS status Theorem for theBenchmark
% 1.97/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.13 % (1076066)------------------------------
% 0.20/1.13 % (1076066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.13 % (1076066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.13 % (1076066)CaDiCaL version: 2.1.3
% 0.20/1.13 % (1076066)Termination reason: Refutation
% 0.20/1.13 % (1076066)Time elapsed: 0.042 s
% 0.20/1.13 % (1076066)Peak memory usage: 90 MB
% 0.20/1.13 % (1076066)Instructions burned: 73 (million)
% 0.20/1.13 % (1076066)------------------------------
% 0.20/1.13 % (1076066)------------------------------
% 0.20/1.13 % (1076047)Success in time 0.613 s
% 0.20/1.13 % Vampire exiting
%------------------------------------------------------------------------------