%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG089+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 09:09:33 AM UTC 2026
% Result : Theorem 4.11s 1.29s
% Output : Refutation 5.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 39
% Syntax : Number of formulae : 503 ( 66 unt; 34 def)
% Number of atoms : 1696 ( 809 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 1925 ( 732 ~; 817 |; 340 &)
% ( 34 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 36 ( 34 usr; 35 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e10,e14) = e14
& op1(e11,e10) = e11
& op1(e11,e11) = e10
& op1(e11,e12) = e13
& op1(e11,e13) = e14
& op1(e11,e14) = e12
& op1(e12,e10) = e12
& op1(e12,e11) = e14
& op1(e12,e12) = e10
& op1(e12,e13) = e11
& op1(e12,e14) = e13
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e14
& op1(e13,e13) = e10
& op1(e13,e14) = e11
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e12
& op1(e14,e14) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e20,e24) = e24
& op2(e21,e20) = e21
& op2(e21,e21) = e22
& op2(e21,e22) = e24
& op2(e21,e23) = e20
& op2(e21,e24) = e23
& op2(e22,e20) = e22
& op2(e22,e21) = e20
& op2(e22,e22) = e23
& op2(e22,e23) = e24
& op2(e22,e24) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e24
& op2(e23,e22) = e20
& op2(e23,e23) = e21
& op2(e23,e24) = e22
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e21
& op2(e24,e23) = e22
& op2(e24,e24) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( e10 = j(e24)
| e11 = j(e24)
| e12 = j(e24)
| e13 = j(e24)
| e14 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f11,plain,
( e10 = j(e23)
| e11 = j(e23)
| e12 = j(e23)
| e13 = j(e23)
| e14 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
fof(f13,plain,
( e10 = j(e21)
| e11 = j(e21)
| e12 = j(e21)
| e13 = j(e21)
| e14 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f14,plain,
( e10 = j(e20)
| e11 = j(e20)
| e12 = j(e20)
| e13 = j(e20)
| e14 = j(e20) ),
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(f20,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f21,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f80,plain,
e20 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e22 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
e23 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f85,plain,
e22 = op2(e23,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f86,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
e10 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f107,plain,
e11 = op1(e14,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f108,plain,
e13 = op1(e14,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f111,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f113,plain,
e12 = op1(e13,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f116,plain,
e11 = op1(e12,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f117,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f120,plain,
e12 = op1(e11,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f123,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f129,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f155,plain,
e23 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f158,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f159,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f161,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f162,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f164,plain,
e20 != e21,
inference(cnf_transformation,[],[f2]) ).
fof(f165,plain,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f166,plain,
e12 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f167,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f169,plain,
e11 != e13,
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(f199,plain,
( e14 = j(e23)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl0_7
<=> e13 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f203,plain,
( e13 = j(e23)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl0_8
<=> e12 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f207,plain,
( e12 = j(e23)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_9
<=> e11 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f211,plain,
( e11 = j(e23)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl0_10
<=> e10 = j(e23) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f215,plain,
( e10 = j(e23)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f213,f209,f205,f201,f197]) ).
fof(f218,definition,
( spl0_11
<=> e14 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f219,plain,
( e14 != j(e22)
| spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( e14 = j(e22)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl0_12
<=> e13 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f224,plain,
( e13 = j(e22)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(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(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(f270,plain,
( e12 = j(e20)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_24
<=> e11 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f274,plain,
( e11 = j(e20)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl0_25
<=> e10 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f278,plain,
( e10 = j(e20)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f14,f276,f272,f268,f264,f260]) ).
fof(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(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(f381,definition,
( spl0_50
<=> e20 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f383,plain,
( e20 = h(e10)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f385,plain,
j(e20) = op1(j(e24),j(e24)),
inference(forward_demodulation,[],[f30,f80]) ).
fof(f386,plain,
j(e22) = op1(j(e24),j(e23)),
inference(forward_demodulation,[],[f31,f81]) ).
fof(f388,plain,
j(e23) = op1(j(e24),j(e21)),
inference(forward_demodulation,[],[f33,f83]) ).
fof(f390,plain,
j(e22) = op1(j(e23),j(e24)),
inference(forward_demodulation,[],[f35,f85]) ).
fof(f391,plain,
j(e21) = 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(f459,plain,
( e14 = j(e22)
| ~ spl0_28 ),
inference(superposition,[],[f20,f291]) ).
fof(f527,plain,
( e13 = j(e23)
| ~ spl0_32 ),
inference(superposition,[],[f21,f308]) ).
fof(f533,plain,
( e13 = j(e22)
| ~ spl0_33 ),
inference(superposition,[],[f21,f312]) ).
fof(f534,plain,
( spl0_12
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f533,f310,f222]) ).
fof(f538,plain,
( e13 = j(e21)
| ~ spl0_34 ),
inference(superposition,[],[f21,f316]) ).
fof(f543,plain,
( spl0_17
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f538,f314,f243]) ).
fof(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(f628,plain,
( e21 = h(e13)
| ~ spl0_17 ),
inference(superposition,[],[f28,f245]) ).
fof(f629,plain,
( e20 = h(e10)
| ~ spl0_25 ),
inference(superposition,[],[f29,f278]) ).
fof(f680,plain,
( op1(e10,e10) = j(e20)
| ~ spl0_5 ),
inference(superposition,[],[f385,f194]) ).
fof(f681,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(superposition,[],[f25,f194]) ).
fof(f682,plain,
( e11 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f680,f274]) ).
fof(f684,plain,
( e10 = e11
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f682,f129]) ).
fof(f686,plain,
( $false
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f684,f174]) ).
fof(f687,plain,
( ~ spl0_5
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f691,plain,
( e12 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[],[f680,f270]) ).
fof(f692,plain,
( e10 = e12
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_demodulation,[],[f691,f129]) ).
fof(f693,plain,
( $false
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f692,f173]) ).
fof(f694,plain,
( ~ spl0_5
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f697,plain,
( e14 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f680,f262]) ).
fof(f698,plain,
( e10 = e14
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f697,f129]) ).
fof(f699,plain,
( $false
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f698,f171]) ).
fof(f700,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f703,plain,
( e13 = op1(e10,e10)
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_demodulation,[],[f680,f266]) ).
fof(f704,plain,
( e10 = e13
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_demodulation,[],[f703,f129]) ).
fof(f705,plain,
( $false
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f704,f172]) ).
fof(f706,plain,
( ~ spl0_5
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f708,plain,
( spl0_2
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f441,f302,f180]) ).
fof(f737,plain,
( op1(e14,e14) = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f385,f178]) ).
fof(f738,plain,
( e24 = h(e14)
| ~ spl0_1 ),
inference(superposition,[],[f25,f178]) ).
fof(f741,plain,
( e12 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f737,f270]) ).
fof(f743,plain,
( e10 = e12
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f741,f105]) ).
fof(f745,plain,
( $false
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f743,f173]) ).
fof(f746,plain,
( ~ spl0_1
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f745]) ).
fof(f754,plain,
( op1(e13,e13) = j(e20)
| ~ spl0_2 ),
inference(superposition,[],[f385,f182]) ).
fof(f756,plain,
( e12 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_demodulation,[],[f754,f270]) ).
fof(f758,plain,
( e10 = e12
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_demodulation,[],[f756,f111]) ).
fof(f760,plain,
( $false
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f758,f173]) ).
fof(f761,plain,
( ~ spl0_2
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f760]) ).
fof(f778,plain,
( op1(e12,e12) = j(e20)
| ~ spl0_3 ),
inference(superposition,[],[f385,f186]) ).
fof(f782,plain,
( e12 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_23 ),
inference(forward_demodulation,[],[f778,f270]) ).
fof(f784,plain,
( e10 = e12
| ~ spl0_3
| ~ spl0_23 ),
inference(forward_demodulation,[],[f782,f117]) ).
fof(f786,plain,
( $false
| ~ spl0_3
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f784,f173]) ).
fof(f787,plain,
( ~ spl0_3
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f786]) ).
fof(f801,plain,
( op1(e11,e11) = j(e20)
| ~ spl0_4 ),
inference(superposition,[],[f385,f190]) ).
fof(f803,plain,
( e12 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f801,f270]) ).
fof(f805,plain,
( e10 = e12
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f803,f123]) ).
fof(f807,plain,
( $false
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f805,f173]) ).
fof(f808,plain,
( ~ spl0_4
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f807]) ).
fof(f832,plain,
( op1(e13,e13) = j(e20)
| ~ spl0_2 ),
inference(superposition,[],[f385,f182]) ).
fof(f834,plain,
( e13 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f832,f266]) ).
fof(f836,plain,
( e10 = e13
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f834,f111]) ).
fof(f838,plain,
( $false
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f836,f172]) ).
fof(f839,plain,
( ~ spl0_2
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f845,plain,
( e11 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[],[f832,f274]) ).
fof(f850,plain,
( e10 = e11
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[],[f845,f111]) ).
fof(f852,plain,
( $false
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f850,f174]) ).
fof(f853,plain,
( ~ spl0_2
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f852]) ).
fof(f856,plain,
( e14 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f832,f262]) ).
fof(f857,plain,
( e10 = e14
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_demodulation,[],[f856,f111]) ).
fof(f858,plain,
( $false
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f857,f171]) ).
fof(f859,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f858]) ).
fof(f860,plain,
( e21 = e24
| ~ spl0_1
| ~ spl0_29 ),
inference(forward_demodulation,[],[f738,f295]) ).
fof(f866,plain,
( $false
| ~ spl0_1
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f860,f158]) ).
fof(f867,plain,
( ~ spl0_1
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f866]) ).
fof(f873,plain,
( op1(e14,e14) = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f385,f178]) ).
fof(f875,plain,
( e11 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_demodulation,[],[f873,f274]) ).
fof(f877,plain,
( e10 = e11
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_demodulation,[],[f875,f105]) ).
fof(f879,plain,
( $false
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f877,f174]) ).
fof(f880,plain,
( ~ spl0_1
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f879]) ).
fof(f884,plain,
( $false
| spl0_1
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f435,f177]) ).
fof(f885,plain,
( spl0_1
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f884]) ).
fof(f895,plain,
( op1(e12,e12) = j(e20)
| ~ spl0_3 ),
inference(superposition,[],[f385,f186]) ).
fof(f897,plain,
( e11 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_24 ),
inference(forward_demodulation,[],[f895,f274]) ).
fof(f899,plain,
( e10 = e11
| ~ spl0_3
| ~ spl0_24 ),
inference(forward_demodulation,[],[f897,f117]) ).
fof(f901,plain,
( $false
| ~ spl0_3
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f899,f174]) ).
fof(f902,plain,
( ~ spl0_3
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f901]) ).
fof(f918,plain,
( op1(e11,e11) = j(e20)
| ~ spl0_4 ),
inference(superposition,[],[f385,f190]) ).
fof(f920,plain,
( e11 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_24 ),
inference(forward_demodulation,[],[f918,f274]) ).
fof(f922,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_24 ),
inference(forward_demodulation,[],[f920,f123]) ).
fof(f924,plain,
( $false
| ~ spl0_4
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f922,f174]) ).
fof(f925,plain,
( ~ spl0_4
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f924]) ).
fof(f941,plain,
( op1(e14,e14) = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f385,f178]) ).
fof(f943,plain,
( e13 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f941,f266]) ).
fof(f945,plain,
( e10 = e13
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f943,f105]) ).
fof(f947,plain,
( $false
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f945,f172]) ).
fof(f948,plain,
( ~ spl0_1
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f947]) ).
fof(f952,plain,
( e14 = op1(e14,e14)
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_demodulation,[],[f941,f262]) ).
fof(f953,plain,
( e10 = e14
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_demodulation,[],[f952,f105]) ).
fof(f954,plain,
( $false
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f953,f171]) ).
fof(f955,plain,
( ~ spl0_1
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f954]) ).
fof(f972,plain,
( op1(e12,e12) = j(e20)
| ~ spl0_3 ),
inference(superposition,[],[f385,f186]) ).
fof(f974,plain,
( e13 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_demodulation,[],[f972,f266]) ).
fof(f976,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_demodulation,[],[f974,f117]) ).
fof(f978,plain,
( $false
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f976,f172]) ).
fof(f979,plain,
( ~ spl0_3
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f978]) ).
fof(f986,plain,
( op1(e11,e11) = j(e20)
| ~ spl0_4 ),
inference(superposition,[],[f385,f190]) ).
fof(f988,plain,
( e13 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_demodulation,[],[f986,f266]) ).
fof(f990,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_demodulation,[],[f988,f123]) ).
fof(f992,plain,
( $false
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f990,f172]) ).
fof(f993,plain,
( ~ spl0_4
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f992]) ).
fof(f1009,plain,
( op1(e12,e12) = j(e20)
| ~ spl0_3 ),
inference(superposition,[],[f385,f186]) ).
fof(f1011,plain,
( e14 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1009,f262]) ).
fof(f1013,plain,
( e10 = e14
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1011,f117]) ).
fof(f1015,plain,
( $false
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1013,f171]) ).
fof(f1016,plain,
( ~ spl0_3
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1015]) ).
fof(f1017,plain,
( spl0_50
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f629,f276,f381]) ).
fof(f1023,plain,
( e23 = h(e11)
| ~ spl0_9 ),
inference(superposition,[],[f26,f211]) ).
fof(f1032,plain,
( e21 = h(e10)
| ~ spl0_20 ),
inference(superposition,[],[f28,f257]) ).
fof(f1038,plain,
( e14 = j(e21)
| ~ spl0_29 ),
inference(superposition,[],[f20,f295]) ).
fof(f1039,plain,
( $false
| spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1038,f240]) ).
fof(f1040,plain,
( spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1039]) ).
fof(f1052,plain,
( e14 = j(e20)
| ~ spl0_30 ),
inference(superposition,[],[f20,f299]) ).
fof(f1053,plain,
( $false
| spl0_21
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1052,f261]) ).
fof(f1054,plain,
( spl0_21
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f1053]) ).
fof(f1077,plain,
( e13 = j(e20)
| ~ spl0_35 ),
inference(superposition,[],[f21,f320]) ).
fof(f1094,plain,
( spl0_34
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f628,f243,f314]) ).
fof(f1122,plain,
( j(e23) = op1(e12,j(e21))
| ~ spl0_3 ),
inference(superposition,[],[f388,f186]) ).
fof(f1133,plain,
( j(e22) = op1(j(e23),e12)
| ~ spl0_3 ),
inference(superposition,[],[f390,f186]) ).
fof(f1199,plain,
( spl0_7
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f527,f306,f201]) ).
fof(f1214,plain,
( e23 = h(e14)
| ~ spl0_6 ),
inference(superposition,[],[f26,f199]) ).
fof(f1223,plain,
( e23 = h(e13)
| ~ spl0_7 ),
inference(superposition,[],[f26,f203]) ).
fof(f1234,plain,
( e13 = e14
| ~ spl0_7
| ~ spl0_27 ),
inference(forward_demodulation,[],[f440,f203]) ).
fof(f1239,plain,
( $false
| ~ spl0_7
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1234,f165]) ).
fof(f1240,plain,
( ~ spl0_7
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1239]) ).
fof(f1262,plain,
( e21 = h(e14)
| ~ spl0_16 ),
inference(superposition,[],[f28,f241]) ).
fof(f1276,plain,
( op1(e13,e13) = j(e21)
| ~ spl0_7 ),
inference(superposition,[],[f391,f203]) ).
fof(f1277,plain,
( e14 = op1(e13,e13)
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1276,f241]) ).
fof(f1278,plain,
( e10 = e14
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1277,f111]) ).
fof(f1279,plain,
( $false
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1278,f171]) ).
fof(f1280,plain,
( ~ spl0_7
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1279]) ).
fof(f1296,plain,
( op1(e14,e12) = j(e22)
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1133,f199]) ).
fof(f1300,plain,
( e13 = op1(e14,e12)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1296,f224]) ).
fof(f1301,plain,
( e11 = e13
| ~ spl0_3
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1300,f107]) ).
fof(f1302,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1301,f169]) ).
fof(f1303,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1302]) ).
fof(f1308,plain,
( op1(e12,e13) = j(e23)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1122,f245]) ).
fof(f1345,plain,
( e13 = op1(e12,e13)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1308,f203]) ).
fof(f1348,plain,
( e11 = e13
| ~ spl0_3
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1345,f116]) ).
fof(f1350,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1348,f169]) ).
fof(f1351,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1350]) ).
fof(f1363,plain,
( op1(e12,e12) = j(e23)
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1122,f249]) ).
fof(f1373,plain,
( e13 = op1(e12,e12)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1363,f203]) ).
fof(f1376,plain,
( e10 = e13
| ~ spl0_3
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1373,f117]) ).
fof(f1380,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1376,f172]) ).
fof(f1381,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1380]) ).
fof(f1388,plain,
( e20 = e21
| ~ spl0_20
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1032,f383]) ).
fof(f1405,plain,
( $false
| ~ spl0_20
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1388,f164]) ).
fof(f1406,plain,
( ~ spl0_20
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1405]) ).
fof(f1438,plain,
( op1(e11,e11) = j(e20)
| ~ spl0_4 ),
inference(superposition,[],[f385,f190]) ).
fof(f1466,plain,
( spl0_22
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1077,f318,f264]) ).
fof(f1475,plain,
( e14 = op1(e11,e11)
| ~ spl0_4
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1438,f262]) ).
fof(f1483,plain,
( e10 = e14
| ~ spl0_4
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1475,f123]) ).
fof(f1487,plain,
( $false
| ~ spl0_4
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1483,f171]) ).
fof(f1488,plain,
( ~ spl0_4
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1487]) ).
fof(f1508,plain,
( j(e22) = op1(e13,j(e23))
| ~ spl0_2 ),
inference(superposition,[],[f386,f182]) ).
fof(f1510,plain,
( j(e23) = op1(e13,j(e21))
| ~ spl0_2 ),
inference(superposition,[],[f388,f182]) ).
fof(f1515,plain,
( op1(e13,e11) = j(e23)
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1510,f253]) ).
fof(f1536,plain,
( e14 = op1(e13,e11)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1515,f199]) ).
fof(f1543,plain,
( e12 = e14
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1536,f113]) ).
fof(f1546,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1543,f166]) ).
fof(f1547,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1546]) ).
fof(f1581,plain,
( op1(e13,e13) = j(e22)
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1508,f203]) ).
fof(f1584,plain,
( e14 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1581,f220]) ).
fof(f1587,plain,
( e10 = e14
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1584,f111]) ).
fof(f1592,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1587,f171]) ).
fof(f1593,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1592]) ).
fof(f1598,plain,
( spl0_42
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1023,f209,f348]) ).
fof(f1624,plain,
( e20 = e24
| ~ spl0_5
| ~ spl0_50 ),
inference(forward_demodulation,[],[f681,f383]) ).
fof(f1627,plain,
( $false
| ~ spl0_5
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1624,f161]) ).
fof(f1628,plain,
( ~ spl0_5
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1627]) ).
fof(f1642,plain,
( e24 = h(e11)
| ~ spl0_4 ),
inference(superposition,[],[f25,f190]) ).
fof(f1645,plain,
( j(e22) = op1(e11,j(e23))
| ~ spl0_4 ),
inference(superposition,[],[f386,f190]) ).
fof(f1649,plain,
( j(e22) = op1(j(e23),e11)
| ~ spl0_4 ),
inference(superposition,[],[f390,f190]) ).
fof(f1650,plain,
( op1(e13,e11) = j(e22)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1649,f203]) ).
fof(f1656,plain,
( e14 = op1(e13,e11)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1650,f220]) ).
fof(f1660,plain,
( e12 = e14
| ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1656,f113]) ).
fof(f1661,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1660,f166]) ).
fof(f1662,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1661]) ).
fof(f1664,plain,
( spl0_29
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1262,f239,f293]) ).
fof(f1692,plain,
( e21 = e23
| ~ spl0_6
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1214,f295]) ).
fof(f1700,plain,
( op1(e11,e14) = j(e22)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1645,f199]) ).
fof(f1701,plain,
( $false
| ~ spl0_6
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1692,f159]) ).
fof(f1702,plain,
( ~ spl0_6
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1701]) ).
fof(f1707,plain,
( e13 = op1(e11,e14)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1700,f224]) ).
fof(f1709,plain,
( e12 = e13
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1707,f120]) ).
fof(f1712,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1709,f167]) ).
fof(f1713,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1712]) ).
fof(f1747,plain,
( op1(e12,e12) = j(e21)
| ~ spl0_8 ),
inference(superposition,[],[f391,f207]) ).
fof(f1748,plain,
( e14 = op1(e12,e12)
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1747,f241]) ).
fof(f1751,plain,
( e10 = e14
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1748,f117]) ).
fof(f1754,plain,
( $false
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1751,f171]) ).
fof(f1755,plain,
( ~ spl0_8
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1754]) ).
fof(f1763,plain,
( e12 = op1(e12,e12)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1747,f249]) ).
fof(f1769,plain,
( e10 = e12
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1763,f117]) ).
fof(f1770,plain,
( $false
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1769,f173]) ).
fof(f1771,plain,
( ~ spl0_8
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1770]) ).
fof(f1774,plain,
( e11 = op1(e12,e12)
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1747,f253]) ).
fof(f1777,plain,
( e10 = e11
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1774,f117]) ).
fof(f1780,plain,
( $false
| ~ spl0_8
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1777,f174]) ).
fof(f1781,plain,
( ~ spl0_8
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1780]) ).
fof(f1792,plain,
( j(e23) = op1(e14,j(e21))
| ~ spl0_1 ),
inference(superposition,[],[f388,f178]) ).
fof(f1797,plain,
( op1(e14,e11) = j(e23)
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1792,f253]) ).
fof(f1802,plain,
( e14 = op1(e14,e11)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1797,f199]) ).
fof(f1806,plain,
( e13 = e14
| ~ spl0_1
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1802,f108]) ).
fof(f1810,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1806,f165]) ).
fof(f1811,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1810]) ).
fof(f1826,plain,
( e23 = h(e10)
| ~ spl0_10 ),
inference(superposition,[],[f26,f215]) ).
fof(f1845,plain,
( e20 = e23
| ~ spl0_10
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1826,f383]) ).
fof(f1857,plain,
( $false
| ~ spl0_10
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1845,f162]) ).
fof(f1858,plain,
( ~ spl0_10
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1857]) ).
fof(f1904,plain,
( op1(e12,e12) = j(e21)
| ~ spl0_8 ),
inference(superposition,[],[f391,f207]) ).
fof(f1905,plain,
( e13 = op1(e12,e12)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1904,f245]) ).
fof(f1908,plain,
( e10 = e13
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1905,f117]) ).
fof(f1911,plain,
( $false
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1908,f172]) ).
fof(f1912,plain,
( ~ spl0_8
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1911]) ).
fof(f1944,plain,
( op1(e11,e11) = j(e21)
| ~ spl0_9 ),
inference(superposition,[],[f391,f211]) ).
fof(f1945,plain,
( e13 = op1(e11,e11)
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1944,f245]) ).
fof(f1948,plain,
( e10 = e13
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1945,f123]) ).
fof(f1951,plain,
( $false
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1948,f172]) ).
fof(f1952,plain,
( ~ spl0_9
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1951]) ).
fof(f1960,plain,
( e12 = op1(e11,e11)
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1944,f249]) ).
fof(f1966,plain,
( e10 = e12
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1960,f123]) ).
fof(f1967,plain,
( $false
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1966,f173]) ).
fof(f1968,plain,
( ~ spl0_9
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f1967]) ).
fof(f1970,plain,
( e11 = op1(e11,e11)
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1944,f253]) ).
fof(f1977,plain,
( e10 = e11
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1970,f123]) ).
fof(f1983,plain,
( $false
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1977,f174]) ).
fof(f1984,plain,
( ~ spl0_9
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1983]) ).
fof(f1990,plain,
( e23 = e24
| ~ spl0_4
| ~ spl0_42 ),
inference(forward_demodulation,[],[f1642,f350]) ).
fof(f1998,plain,
( e14 = op1(e11,e11)
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1944,f241]) ).
fof(f2011,plain,
( $false
| ~ spl0_4
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1990,f155]) ).
fof(f2012,plain,
( ~ spl0_4
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f2011]) ).
fof(f2015,plain,
( e10 = e14
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1998,f123]) ).
fof(f2018,plain,
( $false
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2015,f171]) ).
fof(f2019,plain,
( ~ spl0_9
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2018]) ).
fof(f2033,plain,
( j(e23) = op1(e13,j(e21))
| ~ spl0_2 ),
inference(superposition,[],[f388,f182]) ).
fof(f2059,plain,
( op1(e14,e14) = j(e21)
| ~ spl0_6 ),
inference(superposition,[],[f391,f199]) ).
fof(f2060,plain,
( e12 = op1(e14,e14)
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2059,f249]) ).
fof(f2063,plain,
( e10 = e12
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2060,f105]) ).
fof(f2066,plain,
( $false
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2063,f173]) ).
fof(f2067,plain,
( ~ spl0_6
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f2066]) ).
fof(f2070,plain,
( op1(e13,e13) = j(e23)
| ~ spl0_2
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2033,f245]) ).
fof(f2072,plain,
( e13 = op1(e14,e14)
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2059,f245]) ).
fof(f2073,plain,
( e14 = op1(e13,e13)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2070,f199]) ).
fof(f2075,plain,
( e10 = e13
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2072,f105]) ).
fof(f2076,plain,
( e10 = e14
| ~ spl0_2
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2073,f111]) ).
fof(f2079,plain,
( $false
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2075,f172]) ).
fof(f2080,plain,
( ~ spl0_6
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f2079]) ).
fof(f2081,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2076,f171]) ).
fof(f2082,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f2081]) ).
fof(f2084,plain,
( e21 = e23
| ~ spl0_7
| ~ spl0_34 ),
inference(forward_demodulation,[],[f1223,f316]) ).
fof(f2095,plain,
( $false
| ~ spl0_7
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f2084,f159]) ).
fof(f2096,plain,
( ~ spl0_7
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f2095]) ).
fof(f2108,plain,
( j(e23) = op1(e14,j(e21))
| ~ spl0_1 ),
inference(superposition,[],[f388,f178]) ).
fof(f2113,plain,
( op1(e14,e12) = j(e23)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2108,f249]) ).
fof(f2118,plain,
( e13 = op1(e14,e12)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2113,f203]) ).
fof(f2121,plain,
( e11 = e13
| ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2118,f107]) ).
fof(f2122,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2121,f169]) ).
fof(f2123,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f2122]) ).
fof(f2132,plain,
( op1(e13,e13) = j(e21)
| ~ spl0_7 ),
inference(superposition,[],[f391,f203]) ).
fof(f2133,plain,
( e11 = op1(e13,e13)
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2132,f253]) ).
fof(f2136,plain,
( e10 = e11
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f2133,f111]) ).
fof(f2139,plain,
( $false
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f2136,f174]) ).
fof(f2140,plain,
( ~ spl0_7
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f2139]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f195]) ).
cnf(s2,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f216]) ).
cnf(s4,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f258]) ).
cnf(s5,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f279]) ).
cnf(s6,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f300]) ).
cnf(s7,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f321]) ).
cnf(s36,plain,
( spl0_12
| ~ spl0_33 ),
inference(sat_conversion,[],[f534]) ).
cnf(s38,plain,
( spl0_17
| ~ spl0_34 ),
inference(sat_conversion,[],[f543]) ).
cnf(s48,plain,
( spl0_11
| ~ spl0_28 ),
inference(sat_conversion,[],[f591]) ).
cnf(s60,plain,
( ~ spl0_5
| ~ spl0_24 ),
inference(sat_conversion,[],[f687]) ).
cnf(s61,plain,
( ~ spl0_5
| ~ spl0_23 ),
inference(sat_conversion,[],[f694]) ).
cnf(s62,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(sat_conversion,[],[f700]) ).
cnf(s63,plain,
( ~ spl0_5
| ~ spl0_22 ),
inference(sat_conversion,[],[f706]) ).
cnf(s64,plain,
( spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f708]) ).
cnf(s69,plain,
( ~ spl0_1
| ~ spl0_23 ),
inference(sat_conversion,[],[f746]) ).
cnf(s70,plain,
( ~ spl0_2
| ~ spl0_23 ),
inference(sat_conversion,[],[f761]) ).
cnf(s73,plain,
( ~ spl0_3
| ~ spl0_23 ),
inference(sat_conversion,[],[f787]) ).
cnf(s77,plain,
( ~ spl0_4
| ~ spl0_23 ),
inference(sat_conversion,[],[f808]) ).
cnf(s83,plain,
( ~ spl0_2
| ~ spl0_22 ),
inference(sat_conversion,[],[f839]) ).
cnf(s85,plain,
( ~ spl0_2
| ~ spl0_24 ),
inference(sat_conversion,[],[f853]) ).
cnf(s86,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(sat_conversion,[],[f859]) ).
cnf(s87,plain,
( ~ spl0_1
| ~ spl0_29 ),
inference(sat_conversion,[],[f867]) ).
cnf(s90,plain,
( ~ spl0_1
| ~ spl0_24 ),
inference(sat_conversion,[],[f880]) ).
cnf(s91,plain,
( spl0_1
| ~ spl0_26 ),
inference(sat_conversion,[],[f885]) ).
cnf(s95,plain,
( ~ spl0_3
| ~ spl0_24 ),
inference(sat_conversion,[],[f902]) ).
cnf(s101,plain,
( ~ spl0_4
| ~ spl0_24 ),
inference(sat_conversion,[],[f925]) ).
cnf(s106,plain,
( ~ spl0_1
| ~ spl0_22 ),
inference(sat_conversion,[],[f948]) ).
cnf(s107,plain,
( ~ spl0_1
| ~ spl0_21 ),
inference(sat_conversion,[],[f955]) ).
cnf(s113,plain,
( ~ spl0_3
| ~ spl0_22 ),
inference(sat_conversion,[],[f979]) ).
cnf(s117,plain,
( ~ spl0_4
| ~ spl0_22 ),
inference(sat_conversion,[],[f993]) ).
cnf(s121,plain,
( ~ spl0_3
| ~ spl0_21 ),
inference(sat_conversion,[],[f1016]) ).
cnf(s122,plain,
( ~ spl0_25
| spl0_50 ),
inference(sat_conversion,[],[f1017]) ).
cnf(s124,plain,
( spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s127,plain,
( spl0_21
| ~ spl0_30 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s134,plain,
( ~ spl0_17
| spl0_34 ),
inference(sat_conversion,[],[f1094]) ).
cnf(s142,plain,
( spl0_7
| ~ spl0_32 ),
inference(sat_conversion,[],[f1199]) ).
cnf(s148,plain,
( ~ spl0_7
| ~ spl0_27 ),
inference(sat_conversion,[],[f1240]) ).
cnf(s150,plain,
( ~ spl0_7
| ~ spl0_16 ),
inference(sat_conversion,[],[f1280]) ).
cnf(s153,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_12 ),
inference(sat_conversion,[],[f1303]) ).
cnf(s168,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_17 ),
inference(sat_conversion,[],[f1351]) ).
cnf(s176,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_18 ),
inference(sat_conversion,[],[f1381]) ).
cnf(s182,plain,
( ~ spl0_20
| ~ spl0_50 ),
inference(sat_conversion,[],[f1406]) ).
cnf(s197,plain,
( spl0_22
| ~ spl0_35 ),
inference(sat_conversion,[],[f1466]) ).
cnf(s198,plain,
( ~ spl0_4
| ~ spl0_21 ),
inference(sat_conversion,[],[f1488]) ).
cnf(s209,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_19 ),
inference(sat_conversion,[],[f1547]) ).
cnf(s219,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(sat_conversion,[],[f1593]) ).
cnf(s220,plain,
( ~ spl0_9
| spl0_42 ),
inference(sat_conversion,[],[f1598]) ).
cnf(s229,plain,
( ~ spl0_5
| ~ spl0_50 ),
inference(sat_conversion,[],[f1628]) ).
cnf(s236,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(sat_conversion,[],[f1662]) ).
cnf(s239,plain,
( ~ spl0_16
| spl0_29 ),
inference(sat_conversion,[],[f1664]) ).
cnf(s245,plain,
( ~ spl0_6
| ~ spl0_29 ),
inference(sat_conversion,[],[f1702]) ).
cnf(s248,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(sat_conversion,[],[f1713]) ).
cnf(s254,plain,
( ~ spl0_8
| ~ spl0_16 ),
inference(sat_conversion,[],[f1755]) ).
cnf(s260,plain,
( ~ spl0_8
| ~ spl0_18 ),
inference(sat_conversion,[],[f1771]) ).
cnf(s261,plain,
( ~ spl0_8
| ~ spl0_19 ),
inference(sat_conversion,[],[f1781]) ).
cnf(s265,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_19 ),
inference(sat_conversion,[],[f1811]) ).
cnf(s274,plain,
( ~ spl0_10
| ~ spl0_50 ),
inference(sat_conversion,[],[f1858]) ).
cnf(s285,plain,
( ~ spl0_8
| ~ spl0_17 ),
inference(sat_conversion,[],[f1912]) ).
cnf(s290,plain,
( ~ spl0_9
| ~ spl0_17 ),
inference(sat_conversion,[],[f1952]) ).
cnf(s294,plain,
( ~ spl0_9
| ~ spl0_18 ),
inference(sat_conversion,[],[f1968]) ).
cnf(s297,plain,
( ~ spl0_9
| ~ spl0_19 ),
inference(sat_conversion,[],[f1984]) ).
cnf(s307,plain,
( ~ spl0_4
| ~ spl0_42 ),
inference(sat_conversion,[],[f2012]) ).
cnf(s309,plain,
( ~ spl0_9
| ~ spl0_16 ),
inference(sat_conversion,[],[f2019]) ).
cnf(s314,plain,
( ~ spl0_6
| ~ spl0_18 ),
inference(sat_conversion,[],[f2067]) ).
cnf(s318,plain,
( ~ spl0_6
| ~ spl0_17 ),
inference(sat_conversion,[],[f2080]) ).
cnf(s319,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_17 ),
inference(sat_conversion,[],[f2082]) ).
cnf(s324,plain,
( ~ spl0_7
| ~ spl0_34 ),
inference(sat_conversion,[],[f2096]) ).
cnf(s327,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_18 ),
inference(sat_conversion,[],[f2123]) ).
cnf(s328,plain,
( ~ spl0_7
| ~ spl0_19 ),
inference(sat_conversion,[],[f2140]) ).
cnf(s329,plain,
~ spl0_5,
inference(rat,[],[s5,s122,s60,s61,s62,s63,s229]) ).
cnf(s331,plain,
( ~ spl0_8
| spl0_20 ),
inference(rat,[],[s4,s254,s260,s261,s285]) ).
cnf(s332,plain,
( ~ spl0_7
| ~ spl0_4
| spl0_26 ),
inference(rat,[],[s6,s124,s48,s148,s150,s236,s127,s198]) ).
cnf(s333,plain,
( ~ spl0_4
| spl0_31
| spl0_26 ),
inference(rat,[],[s7,s36,s38,s248,s318,s2,s142,s332,s331,s182,s274,s122,s5,s197,s220,s77,s101,s117,s198,s307]) ).
cnf(s334,plain,
( ~ spl0_9
| spl0_20 ),
inference(rat,[],[s4,s290,s294,s297,s309]) ).
cnf(s335,plain,
( ~ spl0_7
| ~ spl0_3 ),
inference(rat,[],[s4,s150,s168,s176,s328,s182,s122,s5,s113,s73,s95,s121]) ).
cnf(s336,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s7,s36,s38,s153,s318,s2,s142,s335,s334,s331,s182,s274,s122,s5,s197,s73,s95,s113,s121,s1,s333,s64,s91,s329]) ).
cnf(s337,plain,
( ~ spl0_7
| spl0_1 ),
inference(rat,[],[s6,s124,s48,s148,s150,s219,s91,s127,s86,s336]) ).
cnf(s338,plain,
spl0_1,
inference(rat,[],[s239,s4,s209,s245,s314,s319,s2,s337,s334,s331,s182,s274,s122,s5,s70,s83,s85,s86,s336]) ).
cnf(s342,plain,
~ spl0_21,
inference(rat,[],[s107,s338]) ).
cnf(s343,plain,
~ spl0_22,
inference(rat,[],[s106,s338]) ).
cnf(s344,plain,
~ spl0_24,
inference(rat,[],[s90,s338]) ).
cnf(s346,plain,
~ spl0_29,
inference(rat,[],[s87,s338]) ).
cnf(s347,plain,
~ spl0_23,
inference(rat,[],[s69,s338]) ).
cnf(s353,plain,
spl0_25,
inference(rat,[],[s5,s342,s344,s347,s343]) ).
cnf(s356,plain,
~ spl0_16,
inference(rat,[],[s239,s346]) ).
cnf(s357,plain,
spl0_50,
inference(rat,[],[s122,s353]) ).
cnf(s359,plain,
~ spl0_10,
inference(rat,[],[s274,s357]) ).
cnf(s361,plain,
~ spl0_20,
inference(rat,[],[s182,s357]) ).
cnf(s363,plain,
~ spl0_8,
inference(rat,[],[s331,s361]) ).
cnf(s364,plain,
~ spl0_9,
inference(rat,[],[s334,s361]) ).
cnf(s367,plain,
~ spl0_7,
inference(rat,[],[s134,s4,s324,s327,s328,s356,s361,s338]) ).
cnf(s369,plain,
spl0_6,
inference(rat,[],[s2,s364,s363,s359,s367]) ).
cnf(s370,plain,
~ spl0_17,
inference(rat,[],[s318,s369]) ).
cnf(s371,plain,
~ spl0_18,
inference(rat,[],[s314,s369]) ).
cnf(s374,plain,
~ spl0_19,
inference(rat,[],[s265,s338,s369]) ).
cnf(s377,plain,
$false,
inference(rat,[],[s4,s361,s374,s356,s370,s371]) ).
fof(f2141,plain,
$false,
inference(avatar_sat_refutation,[],[s377]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG089+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n005.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 19:25:47 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 4.11/1.29 % (1067916)Detected formulas, will run a generic FOF schedule.
% 4.11/1.29 % (1067921)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=2973288301:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.11/1.29 % (1067926)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1893820192:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.11/1.29 % (1067924)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2566630711:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.11/1.29 % (1067925)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1355914435:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.11/1.29 % (1067922)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=101135221:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.11/1.29 % (1067923)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=1228736160:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.11/1.29 % (1067927)dis-21_1_sil=8000:lcm=predicate:random_seed=3069825633:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.11/1.29 % (1067927)Refutation not found, incomplete strategy
% 4.11/1.29 % (1067927)------------------------------
% 4.11/1.29 % (1067927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.29 % (1067927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.29 % (1067927)CaDiCaL version: 2.1.3
% 4.11/1.29 % (1067927)Termination reason: Refutation not found, incomplete strategy
% 4.11/1.29 % (1067927)Time elapsed: 0.005 s
% 4.11/1.29 % (1067927)Peak memory usage: 88 MB
% 4.11/1.29 % (1067927)Instructions burned: 8 (million)
% 4.11/1.29 % (1067925)Instruction limit reached!
% 4.11/1.29 % (1067925)------------------------------
% 4.11/1.29 % (1067925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.29 % (1067925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.29 % (1067925)CaDiCaL version: 2.1.3
% 4.11/1.29 % (1067925)Termination reason: Instruction limit
% 4.11/1.29 % (1067925)Termination phase: Saturation
% 4.11/1.29 % (1067925)Time elapsed: 0.050 s
% 4.11/1.29 % (1067925)Peak memory usage: 87 MB
% 4.11/1.29 % (1067925)Instructions burned: 121 (million)
% 4.11/1.29 % (1067924)Instruction limit reached!
% 4.11/1.29 % (1067924)------------------------------
% 4.11/1.29 % (1067924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.29 % (1067924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.29 % (1067924)CaDiCaL version: 2.1.3
% 4.11/1.29 % (1067924)Termination reason: Instruction limit
% 4.11/1.29 % (1067924)Termination phase: Saturation
% 4.11/1.29 % (1067924)Time elapsed: 0.058 s
% 4.11/1.29 % (1067924)Peak memory usage: 89 MB
% 4.11/1.29 % (1067924)Instructions burned: 109 (million)
% 4.11/1.29 % (1067926)Instruction limit reached!
% 4.11/1.29 % (1067926)------------------------------
% 4.11/1.29 % (1067926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.29 % (1067926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.29 % (1067926)CaDiCaL version: 2.1.3
% 4.11/1.29 % (1067926)Termination reason: Instruction limit
% 4.11/1.29 % (1067926)Termination phase: Saturation
% 4.11/1.29 % (1067926)Time elapsed: 0.075 s
% 4.11/1.29 % (1067926)Peak memory usage: 89 MB
% 4.11/1.29 % (1067926)Instructions burned: 140 (million)
% 4.11/1.29 [W928 19:25:48.124306279 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 [W928 19:25:48.124327739 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 [W928 19:25:48.124348856 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 [W928 19:25:48.124355757 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 [W928 19:25:48.124381493 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 [W928 19:25:48.124387002 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 % (1067936)lrs+10_1_sil=32000:urr=on:br=off:random_seed=343728604:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.11/1.29 % (1067935)lrs+10_1_sil=8000:sp=occurrence:random_seed=1411354286:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.11/1.29 % (1067935)First to succeed.
% 4.11/1.29 % (1067937)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1456292460:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.11/1.29 % (1067936)Also succeeded, but the first one will report.
% 4.11/1.29 % (1067935)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1067916"
% 4.11/1.29 % (1067937)Also succeeded, but the first one will report.
% 4.11/1.29 % (1067927)------------------------------
% 4.11/1.29 % (1067927)------------------------------
% 4.11/1.29 [W928 19:25:48.329144291 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 [W928 19:25:48.329179038 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 [W928 19:25:48.329215705 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 [W928 19:25:48.329229151 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 [W928 19:25:48.329255321 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 [W928 19:25:48.329267008 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 [W928 19:25:48.330578293 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 [W928 19:25:48.330606197 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 [W928 19:25:48.330651427 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 [W928 19:25:48.330675647 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 [W928 19:25:48.330701583 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 [W928 19:25:48.330711737 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.11/1.29 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.11/1.29 % (1067941)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=1911716504:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.11/1.29 % (1067935)Refutation found. Thanks to Tanya!
% 4.11/1.29 % SZS status Theorem for theBenchmark
% 4.11/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 5.01/1.49 % (1067935)------------------------------
% 5.01/1.49 % (1067935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.49 % (1067935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.49 % (1067935)CaDiCaL version: 2.1.3
% 5.01/1.49 % (1067935)Termination reason: Refutation
% 5.01/1.49 % (1067935)Time elapsed: 0.036 s
% 5.01/1.49 % (1067935)Peak memory usage: 90 MB
% 5.01/1.49 % (1067935)Instructions burned: 65 (million)
% 5.01/1.49 % (1067935)------------------------------
% 5.01/1.49 % (1067935)------------------------------
% 5.01/1.49 % (1067916)Success in time 0.629 s
% 5.01/1.49 % Vampire exiting
%------------------------------------------------------------------------------