%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG185+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 : Thu Sep 24 11:48:48 AM UTC 2026
% Result : Theorem 0.12s 0.46s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 55
% Syntax : Number of formulae : 1118 ( 171 unt; 50 def)
% Number of atoms : 3022 (1314 equ)
% Maximal formula atoms : 110 ( 2 avg)
% Number of connectives : 3361 (1457 ~;1581 |; 271 &)
% ( 50 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 3 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 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op1(e14,e14) = e14
& op1(e14,e13) = e10
& op1(e14,e12) = e11
& op1(e14,e11) = e12
& op1(e14,e10) = e13
& op1(e13,e14) = e11
& op1(e13,e13) = e13
& op1(e13,e12) = e10
& op1(e13,e11) = e14
& op1(e13,e10) = e12
& op1(e12,e14) = e13
& op1(e12,e13) = e14
& op1(e12,e12) = e12
& op1(e12,e11) = e10
& op1(e12,e10) = e11
& op1(e11,e14) = e10
& op1(e11,e13) = e12
& op1(e11,e12) = e13
& op1(e11,e11) = e11
& op1(e11,e10) = e14
& op1(e10,e14) = e12
& op1(e10,e13) = e11
& op1(e10,e12) = e14
& op1(e10,e11) = e13
& op1(e10,e10) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op2(e24,e24) = e24
& op2(e24,e23) = e21
& op2(e24,e22) = e20
& op2(e24,e21) = e22
& op2(e24,e20) = e23
& op2(e23,e24) = e22
& op2(e23,e23) = e23
& op2(e23,e22) = e21
& op2(e23,e21) = e20
& op2(e23,e20) = e24
& op2(e22,e24) = e23
& op2(e22,e23) = e20
& op2(e22,e22) = e22
& op2(e22,e21) = e24
& op2(e22,e20) = e21
& op2(e21,e24) = e20
& op2(e21,e23) = e24
& op2(e21,e22) = e23
& op2(e21,e21) = e21
& op2(e21,e20) = e22
& op2(e20,e24) = e21
& op2(e20,e23) = e22
& op2(e20,e22) = e24
& op2(e20,e21) = e23
& op2(e20,e20) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,conjecture,
( ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ ( ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
e10 != e11,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
e10 != e12,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
e10 != e13,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
e10 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
e11 != e12,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f13,plain,
e11 != e13,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f14,plain,
e11 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f15,plain,
e12 != e13,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f16,plain,
e12 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f17,plain,
e13 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f18,plain,
e20 != e21,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f20,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f21,plain,
e20 != e24,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f22,plain,
e21 != e22,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f23,plain,
e21 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f24,plain,
e21 != e24,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f25,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f26,plain,
e22 != e24,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f27,plain,
e23 != e24,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f54,plain,
op1(e10,e11) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f55,plain,
op1(e10,e12) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f56,plain,
op1(e10,e13) = e11,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f57,plain,
op1(e10,e14) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f58,plain,
op1(e11,e10) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f59,plain,
op1(e11,e11) = e11,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f60,plain,
op1(e11,e12) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f61,plain,
op1(e11,e13) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f62,plain,
op1(e11,e14) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f63,plain,
op1(e12,e10) = e11,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f64,plain,
op1(e12,e11) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f66,plain,
op1(e12,e13) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f67,plain,
op1(e12,e14) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f68,plain,
op1(e13,e10) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f69,plain,
op1(e13,e11) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f70,plain,
op1(e13,e12) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f72,plain,
op1(e13,e14) = e11,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f73,plain,
op1(e14,e10) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f74,plain,
op1(e14,e11) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f75,plain,
op1(e14,e12) = e11,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f76,plain,
op1(e14,e13) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f77,plain,
op1(e14,e14) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f78,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f79,plain,
op2(e20,e21) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f80,plain,
op2(e20,e22) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f81,plain,
op2(e20,e23) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f82,plain,
op2(e20,e24) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f83,plain,
op2(e21,e20) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f84,plain,
op2(e21,e21) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f85,plain,
op2(e21,e22) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f86,plain,
op2(e21,e23) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f87,plain,
op2(e21,e24) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f88,plain,
op2(e22,e20) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f89,plain,
op2(e22,e21) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f90,plain,
op2(e22,e22) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f91,plain,
op2(e22,e23) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f92,plain,
op2(e22,e24) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f93,plain,
op2(e23,e20) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f94,plain,
op2(e23,e21) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f95,plain,
op2(e23,e22) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f97,plain,
op2(e23,e24) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f98,plain,
op2(e24,e20) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f99,plain,
op2(e24,e21) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f100,plain,
op2(e24,e22) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f101,plain,
op2(e24,e23) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f102,plain,
op2(e24,e24) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f103,plain,
( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f104,plain,
( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f105,plain,
( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f106,plain,
( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f107,plain,
( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f108,plain,
( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f109,plain,
( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f110,plain,
( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f111,plain,
( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f112,plain,
( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f113,plain,
( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f114,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f115,plain,
h(op1(e10,e11)) = op2(h(e10),h(e11)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f116,plain,
h(op1(e10,e12)) = op2(h(e10),h(e12)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f117,plain,
h(op1(e10,e13)) = op2(h(e10),h(e13)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f118,plain,
h(op1(e10,e14)) = op2(h(e10),h(e14)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f119,plain,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f120,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f121,plain,
h(op1(e11,e12)) = op2(h(e11),h(e12)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f122,plain,
h(op1(e11,e13)) = op2(h(e11),h(e13)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f123,plain,
h(op1(e11,e14)) = op2(h(e11),h(e14)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f124,plain,
h(op1(e12,e10)) = op2(h(e12),h(e10)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f125,plain,
h(op1(e12,e11)) = op2(h(e12),h(e11)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f126,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f127,plain,
h(op1(e12,e13)) = op2(h(e12),h(e13)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f129,plain,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f131,plain,
h(op1(e13,e12)) = op2(h(e13),h(e12)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f133,plain,
h(op1(e13,e14)) = op2(h(e13),h(e14)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f134,plain,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f135,plain,
h(op1(e14,e11)) = op2(h(e14),h(e11)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f136,plain,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f137,plain,
h(op1(e14,e13)) = op2(h(e14),h(e13)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f139,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f140,plain,
j(op2(e20,e21)) = op1(j(e20),j(e21)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f141,plain,
j(op2(e20,e22)) = op1(j(e20),j(e22)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f142,plain,
j(op2(e20,e23)) = op1(j(e20),j(e23)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f143,plain,
j(op2(e20,e24)) = op1(j(e20),j(e24)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f144,plain,
j(op2(e21,e20)) = op1(j(e21),j(e20)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f145,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f146,plain,
j(op2(e21,e22)) = op1(j(e21),j(e22)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f147,plain,
j(op2(e21,e23)) = op1(j(e21),j(e23)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f148,plain,
j(op2(e21,e24)) = op1(j(e21),j(e24)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f149,plain,
j(op2(e22,e20)) = op1(j(e22),j(e20)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f150,plain,
j(op2(e22,e21)) = op1(j(e22),j(e21)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f151,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f152,plain,
j(op2(e22,e23)) = op1(j(e22),j(e23)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f153,plain,
j(op2(e22,e24)) = op1(j(e22),j(e24)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f154,plain,
j(op2(e23,e20)) = op1(j(e23),j(e20)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f155,plain,
j(op2(e23,e21)) = op1(j(e23),j(e21)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f156,plain,
j(op2(e23,e22)) = op1(j(e23),j(e22)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f157,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f158,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f159,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f160,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f161,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f162,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f163,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f164,plain,
h(j(e20)) = e20,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f165,plain,
h(j(e21)) = e21,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f166,plain,
h(j(e22)) = e22,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f167,plain,
h(j(e23)) = e23,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f168,plain,
h(j(e24)) = e24,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f169,plain,
j(h(e10)) = e10,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f170,plain,
j(h(e11)) = e11,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f171,plain,
j(h(e12)) = e12,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f172,plain,
j(h(e13)) = e13,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f173,plain,
j(h(e14)) = e14,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f174,definition,
( sQ0_spl
<=> h(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ0_spl
| h(e10) = e20 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,definition,
( sQ1_spl
<=> h(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ1_spl
| h(e10) = e21 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,definition,
( sQ2_spl
<=> h(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ2_spl
| h(e10) = e22 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f182,plain,
( sQ2_spl
| h(e10) != e22 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,definition,
( sQ3_spl
<=> h(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( ~ sQ3_spl
| h(e10) = e23 ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,definition,
( sQ4_spl
<=> h(e10) = e24 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ4_spl
| h(e10) = e24 ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f104,f174,f177,f180,f183,f186]) ).
fof(f190,definition,
( sQ5_spl
<=> h(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( ~ sQ5_spl
| h(e11) = e20 ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,definition,
( sQ6_spl
<=> h(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ6_spl
| h(e11) = e21 ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,definition,
( sQ7_spl
<=> h(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ7_spl
| h(e11) = e22 ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,definition,
( sQ8_spl
<=> h(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ8_spl
| h(e11) = e23 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,definition,
( sQ9_spl
<=> h(e11) = e24 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ9_spl
| h(e11) = e24 ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f105,f190,f193,f196,f199,f202]) ).
fof(f206,definition,
( sQ10_spl
<=> h(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ10_spl
| h(e12) = e20 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,definition,
( sQ11_spl
<=> h(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ11_spl
| h(e12) = e21 ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ12_spl
<=> h(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ12_spl
| h(e12) = e22 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f214,plain,
( sQ12_spl
| h(e12) != e22 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,definition,
( sQ13_spl
<=> h(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ13_spl
| h(e12) = e23 ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,definition,
( sQ14_spl
<=> h(e12) = e24 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( ~ sQ14_spl
| h(e12) = e24 ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f106,f206,f209,f212,f215,f218]) ).
fof(f222,definition,
( sQ15_spl
<=> h(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ15_spl
| h(e13) = e20 ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f224,plain,
( sQ15_spl
| h(e13) != e20 ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,definition,
( sQ16_spl
<=> h(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ16_spl
| h(e13) = e21 ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f227,plain,
( sQ16_spl
| h(e13) != e21 ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,definition,
( sQ17_spl
<=> h(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ17_spl
| h(e13) = e22 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f230,plain,
( sQ17_spl
| h(e13) != e22 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,definition,
( sQ18_spl
<=> h(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f234,definition,
( sQ19_spl
<=> h(e13) = e24 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ19_spl
| h(e13) = e24 ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f236,plain,
( sQ19_spl
| h(e13) != e24 ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f107,f222,f225,f228,f231,f234]) ).
fof(f238,definition,
( sQ20_spl
<=> h(e14) = e20 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ20_spl
| h(e14) = e20 ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
( sQ21_spl
<=> h(e14) = e21 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ21_spl
| h(e14) = e21 ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
( sQ22_spl
<=> h(e14) = e22 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ22_spl
| h(e14) = e22 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
( sQ23_spl
<=> h(e14) = e23 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( ~ sQ23_spl
| h(e14) = e23 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,definition,
( sQ24_spl
<=> h(e14) = e24 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ24_spl
| h(e14) = e24 ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f108,f238,f241,f244,f247,f250]) ).
fof(f254,definition,
( sQ25_spl
<=> j(e20) = e10 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ25_spl
| j(e20) = e10 ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,definition,
( sQ26_spl
<=> j(e20) = e11 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( ~ sQ26_spl
| j(e20) = e11 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f259,plain,
( sQ26_spl
| j(e20) != e11 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,definition,
( sQ27_spl
<=> j(e20) = e12 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ27_spl
| j(e20) = e12 ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f262,plain,
( sQ27_spl
| j(e20) != e12 ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,definition,
( sQ28_spl
<=> j(e20) = e13 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ28_spl
| j(e20) = e13 ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,definition,
( sQ29_spl
<=> j(e20) = e14 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ29_spl
| j(e20) = e14 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f109,f254,f257,f260,f263,f266]) ).
fof(f270,definition,
( sQ30_spl
<=> j(e21) = e10 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ30_spl
| j(e21) = e10 ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,definition,
( sQ31_spl
<=> j(e21) = e11 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ31_spl
| j(e21) = e11 ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
( sQ32_spl
<=> j(e21) = e12 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ32_spl
| j(e21) = e12 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f278,plain,
( sQ32_spl
| j(e21) != e12 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,definition,
( sQ33_spl
<=> j(e21) = e13 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ33_spl
| j(e21) = e13 ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
( sQ34_spl
<=> j(e21) = e14 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ34_spl
| j(e21) = e14 ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f284,plain,
( sQ34_spl
| j(e21) != e14 ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f110,f270,f273,f276,f279,f282]) ).
fof(f286,definition,
( sQ35_spl
<=> j(e22) = e10 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ35_spl
| j(e22) = e10 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f288,plain,
( sQ35_spl
| j(e22) != e10 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,definition,
( sQ36_spl
<=> j(e22) = e11 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( ~ sQ36_spl
| j(e22) = e11 ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,definition,
( sQ37_spl
<=> j(e22) = e12 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ37_spl
| j(e22) = e12 ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,definition,
( sQ38_spl
<=> j(e22) = e13 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f298,definition,
( sQ39_spl
<=> j(e22) = e14 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ39_spl
| j(e22) = e14 ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f300,plain,
( sQ39_spl
| j(e22) != e14 ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f111,f286,f289,f292,f295,f298]) ).
fof(f302,definition,
( sQ40_spl
<=> j(e23) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ40_spl
| j(e23) = e10 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( sQ40_spl
| j(e23) != e10 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,definition,
( sQ41_spl
<=> j(e23) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( ~ sQ41_spl
| j(e23) = e11 ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,definition,
( sQ42_spl
<=> j(e23) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ42_spl
| j(e23) = e12 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( sQ42_spl
| j(e23) != e12 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,definition,
( sQ43_spl
<=> j(e23) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ43_spl
| j(e23) = e13 ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,definition,
( sQ44_spl
<=> j(e23) = e14 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ44_spl
| j(e23) = e14 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f316,plain,
( sQ44_spl
| j(e23) != e14 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f112,f302,f305,f308,f311,f314]) ).
fof(f318,definition,
( sQ45_spl
<=> j(e24) = e10 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ45_spl
| j(e24) = e10 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,definition,
( sQ46_spl
<=> j(e24) = e11 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ46_spl
| j(e24) = e11 ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,definition,
( sQ47_spl
<=> j(e24) = e12 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ47_spl
| j(e24) = e12 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f326,plain,
( sQ47_spl
| j(e24) != e12 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,definition,
( sQ48_spl
<=> j(e24) = e13 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ48_spl
| j(e24) = e13 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f329,plain,
( sQ48_spl
| j(e24) != e13 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
( sQ49_spl
<=> j(e24) = e14 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ49_spl
| j(e24) = e14 ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f113,f318,f321,f324,f327,f330]) ).
fof(f334,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[status(thm)],[f53,f114]) ).
fof(f335,plain,
h(e13) = op2(h(e10),h(e11)),
inference(forward_demodulation,[status(thm)],[f54,f115]) ).
fof(f336,plain,
h(e14) = op2(h(e10),h(e12)),
inference(forward_demodulation,[status(thm)],[f55,f116]) ).
fof(f337,plain,
h(e11) = op2(h(e10),h(e13)),
inference(forward_demodulation,[status(thm)],[f56,f117]) ).
fof(f338,plain,
h(e12) = op2(h(e10),h(e14)),
inference(forward_demodulation,[status(thm)],[f57,f118]) ).
fof(f339,plain,
h(e14) = op2(h(e11),h(e10)),
inference(forward_demodulation,[status(thm)],[f58,f119]) ).
fof(f340,plain,
h(e11) = op2(h(e11),h(e11)),
inference(forward_demodulation,[status(thm)],[f59,f120]) ).
fof(f341,plain,
h(e13) = op2(h(e11),h(e12)),
inference(forward_demodulation,[status(thm)],[f60,f121]) ).
fof(f342,plain,
h(e12) = op2(h(e11),h(e13)),
inference(forward_demodulation,[status(thm)],[f61,f122]) ).
fof(f343,plain,
h(e10) = op2(h(e11),h(e14)),
inference(forward_demodulation,[status(thm)],[f62,f123]) ).
fof(f344,plain,
h(e11) = op2(h(e12),h(e10)),
inference(forward_demodulation,[status(thm)],[f63,f124]) ).
fof(f345,plain,
h(e10) = op2(h(e12),h(e11)),
inference(forward_demodulation,[status(thm)],[f64,f125]) ).
fof(f346,plain,
h(e12) = op2(h(e12),h(e12)),
inference(forward_demodulation,[status(thm)],[f65,f126]) ).
fof(f347,plain,
h(e14) = op2(h(e12),h(e13)),
inference(forward_demodulation,[status(thm)],[f66,f127]) ).
fof(f349,plain,
h(e12) = op2(h(e13),h(e10)),
inference(forward_demodulation,[status(thm)],[f68,f129]) ).
fof(f351,plain,
h(e10) = op2(h(e13),h(e12)),
inference(forward_demodulation,[status(thm)],[f70,f131]) ).
fof(f353,plain,
h(e11) = op2(h(e13),h(e14)),
inference(forward_demodulation,[status(thm)],[f72,f133]) ).
fof(f354,plain,
h(e13) = op2(h(e14),h(e10)),
inference(forward_demodulation,[status(thm)],[f73,f134]) ).
fof(f355,plain,
h(e12) = op2(h(e14),h(e11)),
inference(forward_demodulation,[status(thm)],[f74,f135]) ).
fof(f356,plain,
h(e11) = op2(h(e14),h(e12)),
inference(forward_demodulation,[status(thm)],[f75,f136]) ).
fof(f357,plain,
h(e10) = op2(h(e14),h(e13)),
inference(forward_demodulation,[status(thm)],[f76,f137]) ).
fof(f359,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[status(thm)],[f78,f139]) ).
fof(f360,plain,
j(e23) = op1(j(e20),j(e21)),
inference(forward_demodulation,[status(thm)],[f79,f140]) ).
fof(f361,plain,
j(e24) = op1(j(e20),j(e22)),
inference(forward_demodulation,[status(thm)],[f80,f141]) ).
fof(f362,plain,
j(e22) = op1(j(e20),j(e23)),
inference(forward_demodulation,[status(thm)],[f81,f142]) ).
fof(f363,plain,
j(e21) = op1(j(e20),j(e24)),
inference(forward_demodulation,[status(thm)],[f82,f143]) ).
fof(f364,plain,
j(e22) = op1(j(e21),j(e20)),
inference(forward_demodulation,[status(thm)],[f83,f144]) ).
fof(f365,plain,
j(e21) = op1(j(e21),j(e21)),
inference(forward_demodulation,[status(thm)],[f84,f145]) ).
fof(f366,plain,
j(e23) = op1(j(e21),j(e22)),
inference(forward_demodulation,[status(thm)],[f85,f146]) ).
fof(f367,plain,
j(e24) = op1(j(e21),j(e23)),
inference(forward_demodulation,[status(thm)],[f86,f147]) ).
fof(f368,plain,
j(e20) = op1(j(e21),j(e24)),
inference(forward_demodulation,[status(thm)],[f87,f148]) ).
fof(f369,plain,
j(e21) = op1(j(e22),j(e20)),
inference(forward_demodulation,[status(thm)],[f88,f149]) ).
fof(f370,plain,
j(e24) = op1(j(e22),j(e21)),
inference(forward_demodulation,[status(thm)],[f89,f150]) ).
fof(f371,plain,
j(e22) = op1(j(e22),j(e22)),
inference(forward_demodulation,[status(thm)],[f90,f151]) ).
fof(f372,plain,
j(e20) = op1(j(e22),j(e23)),
inference(forward_demodulation,[status(thm)],[f91,f152]) ).
fof(f373,plain,
j(e23) = op1(j(e22),j(e24)),
inference(forward_demodulation,[status(thm)],[f92,f153]) ).
fof(f374,plain,
j(e24) = op1(j(e23),j(e20)),
inference(forward_demodulation,[status(thm)],[f93,f154]) ).
fof(f375,plain,
j(e20) = op1(j(e23),j(e21)),
inference(forward_demodulation,[status(thm)],[f94,f155]) ).
fof(f376,plain,
j(e21) = op1(j(e23),j(e22)),
inference(forward_demodulation,[status(thm)],[f95,f156]) ).
fof(f377,plain,
j(e23) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f96,f157]) ).
fof(f378,plain,
j(e22) = op1(j(e23),j(e24)),
inference(forward_demodulation,[status(thm)],[f97,f158]) ).
fof(f379,plain,
j(e23) = op1(j(e24),j(e20)),
inference(forward_demodulation,[status(thm)],[f98,f159]) ).
fof(f380,plain,
j(e22) = op1(j(e24),j(e21)),
inference(forward_demodulation,[status(thm)],[f99,f160]) ).
fof(f381,plain,
j(e20) = op1(j(e24),j(e22)),
inference(forward_demodulation,[status(thm)],[f100,f161]) ).
fof(f382,plain,
j(e21) = op1(j(e24),j(e23)),
inference(forward_demodulation,[status(thm)],[f101,f162]) ).
fof(f383,plain,
j(e24) = op1(j(e24),j(e24)),
inference(forward_demodulation,[status(thm)],[f102,f163]) ).
fof(f384,plain,
( ~ sQ49_spl
| h(e14) = e24 ),
inference(backward_demodulation,[status(thm)],[f331,f168]) ).
fof(f386,plain,
( ~ sQ49_spl
| j(e21) = op1(e14,j(e23)) ),
inference(backward_demodulation,[status(thm)],[f331,f382]) ).
fof(f388,plain,
( ~ sQ49_spl
| j(e22) = op1(e14,j(e21)) ),
inference(backward_demodulation,[status(thm)],[f331,f380]) ).
fof(f391,plain,
( ~ sQ49_spl
| e14 = op1(j(e23),j(e20)) ),
inference(backward_demodulation,[status(thm)],[f331,f374]) ).
fof(f392,plain,
( ~ sQ49_spl
| j(e23) = op1(j(e22),e14) ),
inference(backward_demodulation,[status(thm)],[f331,f373]) ).
fof(f395,plain,
( ~ sQ49_spl
| e14 = op1(j(e21),j(e23)) ),
inference(backward_demodulation,[status(thm)],[f331,f367]) ).
fof(f398,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f331,f328]) ).
fof(f399,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f398,f17]) ).
fof(f400,plain,
( ~ sQ48_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f399]) ).
fof(f401,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f325,f322]) ).
fof(f402,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f401,f12]) ).
fof(f403,plain,
( ~ sQ46_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f402]) ).
fof(f404,plain,
( ~ sQ44_spl
| h(e14) = e23 ),
inference(backward_demodulation,[status(thm)],[f315,f167]) ).
fof(f406,plain,
( ~ sQ44_spl
| j(e21) = op1(e14,j(e22)) ),
inference(backward_demodulation,[status(thm)],[f315,f376]) ).
fof(f407,plain,
( ~ sQ44_spl
| j(e20) = op1(e14,j(e21)) ),
inference(backward_demodulation,[status(thm)],[f315,f375]) ).
fof(f411,plain,
( ~ sQ44_spl
| e14 = op1(j(e20),j(e21)) ),
inference(backward_demodulation,[status(thm)],[f315,f360]) ).
fof(f418,plain,
( ~ sQ39_spl
| h(e14) = e22 ),
inference(backward_demodulation,[status(thm)],[f299,f166]) ).
fof(f425,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f293,f290]) ).
fof(f426,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f425,f12]) ).
fof(f427,plain,
( ~ sQ36_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f426]) ).
fof(f428,plain,
( ~ sQ34_spl
| h(e14) = e21 ),
inference(backward_demodulation,[status(thm)],[f283,f165]) ).
fof(f430,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f283,f280]) ).
fof(f431,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f430,f17]) ).
fof(f432,plain,
( ~ sQ33_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f431]) ).
fof(f433,plain,
( ~ sQ31_spl
| ~ sQ32_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f277,f274]) ).
fof(f434,plain,
( ~ sQ31_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f433,f12]) ).
fof(f435,plain,
( ~ sQ31_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f434]) ).
fof(f436,plain,
( ~ sQ29_spl
| h(e14) = e20 ),
inference(backward_demodulation,[status(thm)],[f267,f164]) ).
fof(f437,plain,
( ~ sQ29_spl
| j(e20) = op1(j(e20),e14) ),
inference(backward_demodulation,[status(thm)],[f267,f359]) ).
fof(f438,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f267,f264]) ).
fof(f439,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f438,f17]) ).
fof(f440,plain,
( ~ sQ28_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f439]) ).
fof(f441,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f261,f258]) ).
fof(f442,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f441,f12]) ).
fof(f443,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f442]) ).
fof(f444,plain,
( ~ sQ24_spl
| j(e24) = e14 ),
inference(backward_demodulation,[status(thm)],[f251,f173]) ).
fof(f454,plain,
( ~ sQ24_spl
| h(e10) = op2(h(e11),e24) ),
inference(backward_demodulation,[status(thm)],[f251,f343]) ).
fof(f455,plain,
( ~ sQ24_spl
| e24 = op2(h(e11),h(e10)) ),
inference(backward_demodulation,[status(thm)],[f251,f339]) ).
fof(f458,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f251,f248]) ).
fof(f459,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f458,f27]) ).
fof(f460,plain,
( ~ sQ23_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f459]) ).
fof(f461,plain,
( ~ sQ21_spl
| ~ sQ22_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f245,f242]) ).
fof(f462,plain,
( ~ sQ21_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f461,f22]) ).
fof(f463,plain,
( ~ sQ21_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f462]) ).
fof(f464,plain,
( ~ sQ19_spl
| j(e24) = e13 ),
inference(backward_demodulation,[status(thm)],[f235,f172]) ).
fof(f471,plain,
( ~ sQ19_spl
| e24 = op2(h(e10),h(e11)) ),
inference(backward_demodulation,[status(thm)],[f235,f335]) ).
fof(f475,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f229,f226]) ).
fof(f476,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f475,f22]) ).
fof(f477,plain,
( ~ sQ16_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f476]) ).
fof(f478,plain,
( ~ sQ14_spl
| j(e24) = e12 ),
inference(backward_demodulation,[status(thm)],[f219,f171]) ).
fof(f481,plain,
( ~ sQ14_spl
| h(e11) = op2(e24,h(e10)) ),
inference(backward_demodulation,[status(thm)],[f219,f344]) ).
fof(f482,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f219,f216]) ).
fof(f483,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f482,f27]) ).
fof(f484,plain,
( ~ sQ13_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f483]) ).
fof(f485,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f213,f210]) ).
fof(f486,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f485,f22]) ).
fof(f487,plain,
( ~ sQ11_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( ~ sQ9_spl
| h(e11) = op2(h(e11),e24) ),
inference(backward_demodulation,[status(thm)],[f203,f340]) ).
fof(f493,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f197,f194]) ).
fof(f494,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f493,f22]) ).
fof(f495,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f494]) ).
fof(f496,plain,
( ~ sQ4_spl
| j(e24) = e10 ),
inference(backward_demodulation,[status(thm)],[f187,f169]) ).
fof(f498,plain,
( ~ sQ45_spl
| h(e10) = e24 ),
inference(forward_demodulation,[status(thm)],[f319,f168]) ).
fof(f502,plain,
( ~ sQ30_spl
| e10 = op1(j(e24),j(e23)) ),
inference(forward_demodulation,[status(thm)],[f271,f382]) ).
fof(f532,plain,
( ~ sQ30_spl
| e10 = op1(j(e20),j(e24)) ),
inference(forward_demodulation,[status(thm)],[f271,f363]) ).
fof(f540,plain,
( ~ sQ40_spl
| h(e10) = e23 ),
inference(forward_demodulation,[status(thm)],[f303,f167]) ).
fof(f541,plain,
( ~ sQ40_spl
| ~ sQ4_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f187,f540]) ).
fof(f542,plain,
( ~ sQ40_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f541,f27]) ).
fof(f543,plain,
( ~ sQ40_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f542]) ).
fof(f571,plain,
( ~ sQ30_spl
| e10 = op1(j(e22),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f271,f369]) ).
fof(f579,plain,
( ~ sQ30_spl
| h(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f271,f165]) ).
fof(f588,plain,
( ~ sQ25_spl
| h(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f255,f164]) ).
fof(f594,plain,
( ~ sQ20_spl
| j(e20) = e14 ),
inference(forward_demodulation,[status(thm)],[f239,f173]) ).
fof(f604,plain,
( ~ sQ5_spl
| e20 = op2(h(e14),h(e12)) ),
inference(forward_demodulation,[status(thm)],[f191,f356]) ).
fof(f613,plain,
( ~ sQ5_spl
| e20 = op2(h(e13),h(e14)) ),
inference(forward_demodulation,[status(thm)],[f191,f353]) ).
fof(f628,plain,
( ~ sQ20_spl
| e20 = op2(h(e11),h(e10)) ),
inference(forward_demodulation,[status(thm)],[f239,f339]) ).
fof(f634,plain,
( ~ sQ20_spl
| e20 = op2(h(e10),h(e12)) ),
inference(forward_demodulation,[status(thm)],[f239,f336]) ).
fof(f639,plain,
( ~ sQ15_spl
| j(e20) = e13 ),
inference(forward_demodulation,[status(thm)],[f223,f172]) ).
fof(f655,plain,
( ~ sQ5_spl
| e20 = op2(h(e10),h(e13)) ),
inference(forward_demodulation,[status(thm)],[f191,f337]) ).
fof(f663,plain,
( ~ sQ10_spl
| j(e20) = e12 ),
inference(forward_demodulation,[status(thm)],[f207,f171]) ).
fof(f664,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f639,f663]) ).
fof(f665,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f664,f15]) ).
fof(f666,plain,
( ~ sQ10_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f665]) ).
fof(f670,plain,
( ~ sQ10_spl
| h(e10) = op2(e20,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f207,f345]) ).
fof(f671,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| h(e10) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f191,f670]) ).
fof(f672,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| h(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f671]) ).
fof(f678,plain,
( ~ sQ5_spl
| j(e20) = e11 ),
inference(forward_demodulation,[status(thm)],[f191,f170]) ).
fof(f684,plain,
( ~ sQ3_spl
| ~ sQ10_spl
| ~ sQ5_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f672,f184]) ).
fof(f685,plain,
( ~ sQ3_spl
| ~ sQ10_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f684,f20]) ).
fof(f686,plain,
( ~ sQ3_spl
| ~ sQ10_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f685]) ).
fof(f687,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f181,f178]) ).
fof(f688,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f687,f22]) ).
fof(f689,plain,
( ~ sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f688]) ).
fof(f690,plain,
( ~ sQ0_spl
| j(e20) = e10 ),
inference(forward_demodulation,[status(thm)],[f175,f169]) ).
fof(f691,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f678,f690]) ).
fof(f692,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f691,f8]) ).
fof(f693,plain,
( ~ sQ0_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f692]) ).
fof(f697,plain,
( ~ sQ40_spl
| ~ sQ0_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f175,f540]) ).
fof(f698,plain,
( ~ sQ40_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f697,f20]) ).
fof(f699,plain,
( ~ sQ40_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f698]) ).
fof(f700,plain,
( ~ sQ30_spl
| ~ sQ45_spl
| e24 = e21 ),
inference(forward_demodulation,[status(thm)],[f498,f579]) ).
fof(f701,plain,
( ~ sQ30_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f700,f24]) ).
fof(f702,plain,
( ~ sQ30_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f701]) ).
fof(f709,plain,
( ~ sQ36_spl
| h(e11) = e22 ),
inference(backward_demodulation,[status(thm)],[f290,f166]) ).
fof(f714,plain,
( ~ sQ20_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f594,f266,f238]) ).
fof(f715,plain,
( ~ sQ36_spl
| j(e20) = op1(e11,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f290,f372]) ).
fof(f733,plain,
( ~ sQ3_spl
| h(e13) = op2(h(e14),e23) ),
inference(backward_demodulation,[status(thm)],[f184,f354]) ).
fof(f752,plain,
( ~ sQ11_spl
| j(e21) = e12 ),
inference(backward_demodulation,[status(thm)],[f210,f171]) ).
fof(f757,plain,
( ~ sQ15_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f639,f263,f222]) ).
fof(f758,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f184,f178]) ).
fof(f759,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f758,f23]) ).
fof(f760,plain,
( ~ sQ1_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f759]) ).
fof(f761,plain,
( ~ sQ11_spl
| h(e11) = op2(e21,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f210,f344]) ).
fof(f762,plain,
( ~ sQ11_spl
| h(e11) = op2(h(e14),e21) ),
inference(forward_demodulation,[status(thm)],[f210,f356]) ).
fof(f768,plain,
( ~ sQ6_spl
| j(e21) = e11 ),
inference(backward_demodulation,[status(thm)],[f194,f170]) ).
fof(f774,plain,
( ~ sQ41_spl
| e11 = op1(j(e22),j(e24)) ),
inference(backward_demodulation,[status(thm)],[f306,f373]) ).
fof(f775,plain,
( ~ sQ41_spl
| h(e11) = e23 ),
inference(backward_demodulation,[status(thm)],[f306,f167]) ).
fof(f787,plain,
( ~ sQ31_spl
| e11 = op1(j(e22),j(e20)) ),
inference(backward_demodulation,[status(thm)],[f274,f369]) ).
fof(f788,plain,
( ~ sQ31_spl
| h(e11) = e21 ),
inference(backward_demodulation,[status(thm)],[f274,f165]) ).
fof(f793,plain,
( ~ sQ6_spl
| h(e14) = op2(e21,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f194,f339]) ).
fof(f794,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| h(e14) = h(e11) ),
inference(forward_demodulation,[status(thm)],[f761,f793]) ).
fof(f798,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| h(e14) = e21 ),
inference(forward_demodulation,[status(thm)],[f194,f794]) ).
fof(f811,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| j(e21) = e14 ),
inference(forward_demodulation,[status(thm)],[f798,f173]) ).
fof(f812,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| ~ sQ31_spl
| e11 = e14 ),
inference(forward_demodulation,[status(thm)],[f274,f811]) ).
fof(f813,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f812,f14]) ).
fof(f814,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f813]) ).
fof(f820,plain,
( ~ sQ41_spl
| j(e24) = op1(e11,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f306,f374]) ).
fof(f835,plain,
( ~ sQ46_spl
| h(e11) = e24 ),
inference(backward_demodulation,[status(thm)],[f322,f168]) ).
fof(f836,plain,
( ~ sQ46_spl
| j(e24) = op1(j(e24),e11) ),
inference(backward_demodulation,[status(thm)],[f322,f383]) ).
fof(f837,plain,
( ~ sQ46_spl
| e11 = op1(j(e22),j(e21)) ),
inference(backward_demodulation,[status(thm)],[f322,f370]) ).
fof(f845,plain,
( ~ sQ25_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f588,f174,f254]) ).
fof(f854,plain,
( ~ sQ37_spl
| j(e22) = op1(j(e22),e12) ),
inference(backward_demodulation,[status(thm)],[f293,f371]) ).
fof(f855,plain,
( ~ sQ37_spl
| h(e12) = e22 ),
inference(backward_demodulation,[status(thm)],[f293,f166]) ).
fof(f864,plain,
( ~ sQ2_spl
| h(e12) = op2(h(e13),e22) ),
inference(backward_demodulation,[status(thm)],[f181,f349]) ).
fof(f866,plain,
( ~ sQ2_spl
| h(e13) = op2(e22,h(e11)) ),
inference(backward_demodulation,[status(thm)],[f181,f335]) ).
fof(f867,plain,
( ~ sQ2_spl
| e22 = op2(h(e13),h(e12)) ),
inference(backward_demodulation,[status(thm)],[f181,f351]) ).
fof(f873,plain,
( ~ sQ16_spl
| e21 = op2(h(e11),h(e12)) ),
inference(backward_demodulation,[status(thm)],[f226,f341]) ).
fof(f894,plain,
( ~ sQ37_spl
| j(e21) = op1(e12,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f293,f369]) ).
fof(f895,plain,
( ~ sQ37_spl
| ~ sQ28_spl
| j(e21) = op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f264,f894]) ).
fof(f898,plain,
( ~ sQ37_spl
| ~ sQ28_spl
| j(e21) = e14 ),
inference(forward_demodulation,[status(thm)],[f66,f895]) ).
fof(f913,plain,
( sQ34_spl
| ~ sQ37_spl
| ~ sQ28_spl
| e14 != e14 ),
inference(forward_demodulation,[status(thm)],[f898,f284]) ).
fof(f914,plain,
( sQ34_spl
| ~ sQ37_spl
| ~ sQ28_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f913]) ).
fof(f915,plain,
( sQ34_spl
| ~ sQ37_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f914]) ).
fof(f919,plain,
( ~ sQ7_spl
| h(e11) = op2(h(e11),e22) ),
inference(backward_demodulation,[status(thm)],[f197,f340]) ).
fof(f920,plain,
( ~ sQ7_spl
| j(e22) = e11 ),
inference(backward_demodulation,[status(thm)],[f197,f170]) ).
fof(f925,plain,
( ~ sQ12_spl
| j(e22) = e12 ),
inference(backward_demodulation,[status(thm)],[f213,f171]) ).
fof(f928,plain,
( ~ sQ32_spl
| j(e22) = op1(e12,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f277,f364]) ).
fof(f930,plain,
( ~ sQ0_spl
| j(e20) = e10 ),
inference(backward_demodulation,[status(thm)],[f175,f169]) ).
fof(f935,plain,
( ~ sQ26_spl
| h(e11) = e20 ),
inference(backward_demodulation,[status(thm)],[f258,f164]) ).
fof(f941,plain,
( ~ sQ32_spl
| j(e24) = op1(e12,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f277,f367]) ).
fof(f964,plain,
( ~ sQ32_spl
| e12 = op1(j(e24),j(e23)) ),
inference(forward_demodulation,[status(thm)],[f277,f382]) ).
fof(f969,plain,
( ~ sQ32_spl
| j(e24) = op1(j(e22),e12) ),
inference(forward_demodulation,[status(thm)],[f277,f370]) ).
fof(f970,plain,
( ~ sQ32_spl
| j(e22) = op1(j(e24),e12) ),
inference(forward_demodulation,[status(thm)],[f277,f380]) ).
fof(f976,plain,
( ~ sQ47_spl
| j(e24) = op1(j(e24),e12) ),
inference(backward_demodulation,[status(thm)],[f325,f383]) ).
fof(f977,plain,
( ~ sQ47_spl
| h(e12) = e24 ),
inference(backward_demodulation,[status(thm)],[f325,f168]) ).
fof(f1000,plain,
( ~ sQ17_spl
| h(e12) = op2(e22,h(e10)) ),
inference(backward_demodulation,[status(thm)],[f229,f349]) ).
fof(f1005,plain,
( ~ sQ22_spl
| h(e12) = op2(e22,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f245,f355]) ).
fof(f1006,plain,
( ~ sQ22_spl
| h(e11) = op2(e22,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f245,f356]) ).
fof(f1026,plain,
( ~ sQ22_spl
| j(e22) = e14 ),
inference(forward_demodulation,[status(thm)],[f245,f173]) ).
fof(f1028,plain,
( ~ sQ47_spl
| j(e21) = op1(j(e20),e12) ),
inference(forward_demodulation,[status(thm)],[f325,f363]) ).
fof(f1031,plain,
( sQ39_spl
| ~ sQ22_spl
| e14 != e14 ),
inference(forward_demodulation,[status(thm)],[f1026,f300]) ).
fof(f1032,plain,
( sQ39_spl
| ~ sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1031]) ).
fof(f1033,plain,
( sQ39_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1032]) ).
fof(f1035,plain,
( ~ sQ35_spl
| h(e10) = e22 ),
inference(backward_demodulation,[status(thm)],[f287,f166]) ).
fof(f1058,plain,
( ~ sQ47_spl
| j(e22) = op1(e12,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f325,f380]) ).
fof(f1062,plain,
( ~ sQ47_spl
| j(e20) = op1(j(e21),e12) ),
inference(forward_demodulation,[status(thm)],[f325,f368]) ).
fof(f1068,plain,
( ~ sQ10_spl
| j(e20) = e12 ),
inference(backward_demodulation,[status(thm)],[f207,f171]) ).
fof(f1069,plain,
( ~ sQ10_spl
| h(e12) = op2(h(e12),e20) ),
inference(backward_demodulation,[status(thm)],[f207,f346]) ).
fof(f1077,plain,
( ~ sQ10_spl
| e12 = op1(j(e22),j(e23)) ),
inference(backward_demodulation,[status(thm)],[f663,f372]) ).
fof(f1079,plain,
( ~ sQ10_spl
| j(e22) = op1(e12,j(e23)) ),
inference(backward_demodulation,[status(thm)],[f663,f362]) ).
fof(f1081,plain,
( ~ sQ6_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f768,f273,f193]) ).
fof(f1092,plain,
( ~ sQ28_spl
| ~ sQ10_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f663,f264]) ).
fof(f1093,plain,
( ~ sQ28_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1092,f15]) ).
fof(f1094,plain,
( ~ sQ28_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1093]) ).
fof(f1105,plain,
( ~ sQ16_spl
| j(e21) = e13 ),
inference(backward_demodulation,[status(thm)],[f1109,f172]) ).
fof(f1109,plain,
( ~ sQ16_spl
| e21 = h(e13) ),
inference(forward_demodulation,[status(thm)],[f341,f873]) ).
fof(f1118,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| h(e12) = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1109,f864]) ).
fof(f1121,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| h(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f85,f1118]) ).
fof(f1125,plain,
( ~ sQ2_spl
| j(e22) = e10 ),
inference(backward_demodulation,[status(thm)],[f1128,f169]) ).
fof(f1128,plain,
( ~ sQ2_spl
| e22 = h(e10) ),
inference(forward_demodulation,[status(thm)],[f351,f867]) ).
fof(f1133,plain,
( ~ sQ2_spl
| e22 = op2(h(e14),h(e13)) ),
inference(forward_demodulation,[status(thm)],[f1128,f357]) ).
fof(f1136,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| h(e14) = op2(e23,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f1121,f347]) ).
fof(f1137,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| h(e14) = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1109,f1136]) ).
fof(f1147,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| h(e14) = e20 ),
inference(forward_demodulation,[status(thm)],[f94,f1137]) ).
fof(f1153,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| h(e11) = op2(e20,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f1147,f356]) ).
fof(f1154,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| h(e11) = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1121,f1153]) ).
fof(f1157,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| h(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f81,f1154]) ).
fof(f1158,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| e23 = op2(h(e14),h(e11)) ),
inference(forward_demodulation,[status(thm)],[f1121,f355]) ).
fof(f1159,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| e23 = op2(e20,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f1147,f1158]) ).
fof(f1160,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| e23 = op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f1157,f1159]) ).
fof(f1161,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| e23 = e24 ),
inference(forward_demodulation,[status(thm)],[f80,f1160]) ).
fof(f1162,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1161,f27]) ).
fof(f1163,plain,
( ~ sQ2_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1162]) ).
fof(f1164,plain,
( ~ sQ36_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f709,f196,f289]) ).
fof(f1171,plain,
( ~ sQ36_spl
| j(e24) = op1(e11,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f290,f370]) ).
fof(f1175,plain,
( ~ sQ36_spl
| j(e24) = op1(j(e20),e11) ),
inference(forward_demodulation,[status(thm)],[f290,f361]) ).
fof(f1176,plain,
( ~ sQ36_spl
| j(e20) = op1(j(e24),e11) ),
inference(forward_demodulation,[status(thm)],[f290,f381]) ).
fof(f1181,plain,
( ~ sQ42_spl
| j(e21) = op1(j(e24),e12) ),
inference(backward_demodulation,[status(thm)],[f309,f382]) ).
fof(f1188,plain,
( ~ sQ42_spl
| h(e12) = e23 ),
inference(backward_demodulation,[status(thm)],[f309,f167]) ).
fof(f1190,plain,
( ~ sQ46_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f835,f202,f321]) ).
fof(f1202,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| j(e24) = j(e20) ),
inference(forward_demodulation,[status(thm)],[f1176,f836]) ).
fof(f1203,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| e11 = op1(e11,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f290,f837]) ).
fof(f1204,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| e11 = j(e24) ),
inference(forward_demodulation,[status(thm)],[f1171,f1203]) ).
fof(f1209,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| e11 = j(e20) ),
inference(forward_demodulation,[status(thm)],[f1202,f1204]) ).
fof(f1215,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| e10 = op1(e11,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f290,f571]) ).
fof(f1216,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| ~ sQ46_spl
| e10 = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f1209,f1215]) ).
fof(f1217,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| ~ sQ46_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f59,f1216]) ).
fof(f1218,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1217,f8]) ).
fof(f1219,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1218]) ).
fof(f1225,plain,
( ~ sQ29_spl
| j(e20) = op1(e14,e14) ),
inference(backward_demodulation,[status(thm)],[f267,f437]) ).
fof(f1235,plain,
( ~ sQ11_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f752,f276,f209]) ).
fof(f1246,plain,
( ~ sQ11_spl
| ~ sQ29_spl
| h(e11) = op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f436,f762]) ).
fof(f1254,plain,
( ~ sQ11_spl
| ~ sQ29_spl
| h(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f79,f1246]) ).
fof(f1263,plain,
( ~ sQ11_spl
| ~ sQ29_spl
| h(e13) = op2(e23,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f1254,f341]) ).
fof(f1264,plain,
( ~ sQ11_spl
| ~ sQ29_spl
| h(e13) = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f210,f1263]) ).
fof(f1265,plain,
( ~ sQ11_spl
| ~ sQ29_spl
| h(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f94,f1264]) ).
fof(f1266,plain,
( ~ sQ11_spl
| ~ sQ29_spl
| sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1265,f224]) ).
fof(f1267,plain,
( ~ sQ11_spl
| ~ sQ29_spl
| sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1266]) ).
fof(f1274,plain,
( ~ sQ1_spl
| h(e10) = op2(h(e10),e21) ),
inference(backward_demodulation,[status(thm)],[f178,f334]) ).
fof(f1275,plain,
( ~ sQ1_spl
| j(e21) = e10 ),
inference(backward_demodulation,[status(thm)],[f178,f169]) ).
fof(f1313,plain,
( ~ sQ42_spl
| j(e22) = op1(e12,j(e24)) ),
inference(forward_demodulation,[status(thm)],[f309,f378]) ).
fof(f1315,plain,
( ~ sQ45_spl
| j(e22) = op1(e10,j(e21)) ),
inference(backward_demodulation,[status(thm)],[f319,f380]) ).
fof(f1319,plain,
( ~ sQ45_spl
| j(e20) = op1(e10,j(e22)) ),
inference(backward_demodulation,[status(thm)],[f319,f381]) ).
fof(f1321,plain,
( ~ sQ45_spl
| j(e20) = op1(j(e21),e10) ),
inference(backward_demodulation,[status(thm)],[f319,f368]) ).
fof(f1325,plain,
( ~ sQ45_spl
| h(e10) = e24 ),
inference(backward_demodulation,[status(thm)],[f319,f168]) ).
fof(f1339,plain,
( ~ sQ37_spl
| j(e22) = op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f293,f854]) ).
fof(f1355,plain,
( ~ sQ27_spl
| h(e12) = e20 ),
inference(backward_demodulation,[status(thm)],[f261,f164]) ).
fof(f1359,plain,
( ~ sQ21_spl
| j(e21) = e14 ),
inference(backward_demodulation,[status(thm)],[f242,f173]) ).
fof(f1361,plain,
( ~ sQ12_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f925,f292,f212]) ).
fof(f1379,plain,
( ~ sQ32_spl
| h(e12) = e21 ),
inference(backward_demodulation,[status(thm)],[f277,f165]) ).
fof(f1380,plain,
( ~ sQ32_spl
| ~ sQ27_spl
| j(e22) = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f261,f928]) ).
fof(f1383,plain,
( ~ sQ32_spl
| ~ sQ27_spl
| j(e22) = e12 ),
inference(forward_demodulation,[status(thm)],[f65,f1380]) ).
fof(f1410,plain,
( ~ sQ21_spl
| h(e11) = op2(e21,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f242,f356]) ).
fof(f1411,plain,
( ~ sQ21_spl
| ~ sQ12_spl
| h(e11) = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f213,f1410]) ).
fof(f1420,plain,
( ~ sQ21_spl
| ~ sQ12_spl
| h(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f85,f1411]) ).
fof(f1421,plain,
( ~ sQ12_spl
| e22 = op2(h(e14),h(e11)) ),
inference(forward_demodulation,[status(thm)],[f213,f355]) ).
fof(f1422,plain,
( ~ sQ12_spl
| ~ sQ21_spl
| e22 = op2(e21,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f242,f1421]) ).
fof(f1423,plain,
( ~ sQ12_spl
| ~ sQ21_spl
| e22 = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1420,f1422]) ).
fof(f1424,plain,
( ~ sQ12_spl
| ~ sQ21_spl
| e22 = e24 ),
inference(forward_demodulation,[status(thm)],[f86,f1423]) ).
fof(f1425,plain,
( ~ sQ12_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1424,f26]) ).
fof(f1426,plain,
( ~ sQ12_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1425]) ).
fof(f1430,plain,
( ~ sQ32_spl
| e12 = op1(j(e22),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f277,f369]) ).
fof(f1433,plain,
( ~ sQ2_spl
| ~ sQ32_spl
| ~ sQ27_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f1383,f1125]) ).
fof(f1434,plain,
( ~ sQ2_spl
| ~ sQ32_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1433,f9]) ).
fof(f1435,plain,
( ~ sQ2_spl
| ~ sQ32_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1434]) ).
fof(f1442,plain,
( ~ sQ41_spl
| j(e21) = op1(j(e24),e11) ),
inference(backward_demodulation,[status(thm)],[f1453,f382]) ).
fof(f1444,plain,
( ~ sQ41_spl
| e11 = op1(j(e24),j(e20)) ),
inference(backward_demodulation,[status(thm)],[f1453,f379]) ).
fof(f1446,plain,
( ~ sQ41_spl
| j(e20) = op1(e11,j(e21)) ),
inference(backward_demodulation,[status(thm)],[f1453,f375]) ).
fof(f1447,plain,
( ~ sQ41_spl
| j(e22) = op1(j(e20),e11) ),
inference(backward_demodulation,[status(thm)],[f1453,f362]) ).
fof(f1450,plain,
( ~ sQ41_spl
| j(e21) = op1(e11,j(e22)) ),
inference(backward_demodulation,[status(thm)],[f1453,f376]) ).
fof(f1451,plain,
( ~ sQ41_spl
| e11 = op1(j(e22),j(e24)) ),
inference(backward_demodulation,[status(thm)],[f1453,f373]) ).
fof(f1453,plain,
( ~ sQ41_spl
| e11 = j(e23) ),
inference(forward_demodulation,[status(thm)],[f373,f774]) ).
fof(f1461,plain,
( ~ sQ35_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1035,f180,f286]) ).
fof(f1481,plain,
( ~ sQ5_spl
| ~ sQ41_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f775,f191]) ).
fof(f1482,plain,
( ~ sQ5_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1481,f20]) ).
fof(f1483,plain,
( ~ sQ5_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1482]) ).
fof(f1484,plain,
( ~ sQ21_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1359,f282,f241]) ).
fof(f1498,plain,
( ~ sQ13_spl
| j(e23) = e12 ),
inference(backward_demodulation,[status(thm)],[f216,f171]) ).
fof(f1499,plain,
( ~ sQ13_spl
| h(e13) = op2(h(e11),e23) ),
inference(backward_demodulation,[status(thm)],[f216,f341]) ).
fof(f1500,plain,
( ~ sQ13_spl
| h(e10) = op2(h(e13),e23) ),
inference(backward_demodulation,[status(thm)],[f216,f351]) ).
fof(f1506,plain,
( ~ sQ26_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f935,f190,f257]) ).
fof(f1516,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| h(e13) = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f242,f733]) ).
fof(f1517,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| h(e13) = e24 ),
inference(forward_demodulation,[status(thm)],[f86,f1516]) ).
fof(f1518,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1517,f236]) ).
fof(f1519,plain,
( ~ sQ3_spl
| ~ sQ21_spl
| sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1518]) ).
fof(f1521,plain,
( ~ sQ31_spl
| h(e11) = e21 ),
inference(backward_demodulation,[status(thm)],[f1526,f165]) ).
fof(f1526,plain,
( ~ sQ31_spl
| e11 = j(e21) ),
inference(forward_demodulation,[status(thm)],[f369,f787]) ).
fof(f1527,plain,
( ~ sQ31_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f788,f193,f273]) ).
fof(f1535,plain,
( ~ sQ31_spl
| e11 = op1(j(e23),j(e22)) ),
inference(forward_demodulation,[status(thm)],[f1526,f376]) ).
fof(f1539,plain,
( ~ sQ47_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f977,f218,f324]) ).
fof(f1540,plain,
( ~ sQ47_spl
| j(e24) = op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f325,f976]) ).
fof(f1547,plain,
( ~ sQ47_spl
| j(e23) = op1(e12,j(e20)) ),
inference(backward_demodulation,[status(thm)],[f325,f379]) ).
fof(f1548,plain,
( ~ sQ47_spl
| e12 = op1(j(e23),j(e20)) ),
inference(backward_demodulation,[status(thm)],[f325,f374]) ).
fof(f1553,plain,
( ~ sQ47_spl
| h(e12) = e24 ),
inference(backward_demodulation,[status(thm)],[f325,f168]) ).
fof(f1560,plain,
( ~ sQ47_spl
| ~ sQ31_spl
| j(e22) = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f1526,f1058]) ).
fof(f1561,plain,
( ~ sQ47_spl
| ~ sQ31_spl
| j(e22) = e10 ),
inference(forward_demodulation,[status(thm)],[f64,f1560]) ).
fof(f1562,plain,
( ~ sQ47_spl
| ~ sQ31_spl
| sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1561,f288]) ).
fof(f1563,plain,
( ~ sQ47_spl
| ~ sQ31_spl
| sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1562]) ).
fof(f1564,plain,
( ~ sQ37_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f855,f212,f292]) ).
fof(f1568,plain,
( ~ sQ37_spl
| h(e12) = e22 ),
inference(backward_demodulation,[status(thm)],[f1572,f166]) ).
fof(f1572,plain,
( ~ sQ37_spl
| j(e22) = e12 ),
inference(forward_demodulation,[status(thm)],[f65,f1339]) ).
fof(f1576,plain,
( ~ sQ7_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f920,f289,f196]) ).
fof(f1577,plain,
( ~ sQ7_spl
| h(e11) = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f197,f919]) ).
fof(f1582,plain,
( ~ sQ7_spl
| j(e22) = e11 ),
inference(backward_demodulation,[status(thm)],[f197,f170]) ).
fof(f1623,plain,
( ~ sQ42_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f1188,f215,f308]) ).
fof(f1664,plain,
( ~ sQ28_spl
| h(e13) = e20 ),
inference(backward_demodulation,[status(thm)],[f264,f164]) ).
fof(f1666,plain,
( ~ sQ14_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f478,f324,f218]) ).
fof(f1668,plain,
( ~ sQ14_spl
| ~ sQ2_spl
| h(e11) = op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f1128,f481]) ).
fof(f1672,plain,
( ~ sQ14_spl
| ~ sQ2_spl
| h(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f100,f1668]) ).
fof(f1682,plain,
( ~ sQ48_spl
| h(e13) = e24 ),
inference(backward_demodulation,[status(thm)],[f328,f168]) ).
fof(f1701,plain,
( ~ sQ14_spl
| ~ sQ2_spl
| h(e13) = op2(e20,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f1672,f341]) ).
fof(f1702,plain,
( ~ sQ14_spl
| ~ sQ2_spl
| h(e13) = op2(e20,e24) ),
inference(forward_demodulation,[status(thm)],[f219,f1701]) ).
fof(f1703,plain,
( ~ sQ14_spl
| ~ sQ2_spl
| h(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f82,f1702]) ).
fof(f1704,plain,
( ~ sQ14_spl
| ~ sQ2_spl
| sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1703,f227]) ).
fof(f1705,plain,
( ~ sQ14_spl
| ~ sQ2_spl
| sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1704]) ).
fof(f1708,plain,
( ~ sQ2_spl
| h(e11) = op2(e22,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f1128,f337]) ).
fof(f1712,plain,
( ~ sQ23_spl
| h(e13) = op2(e23,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f248,f354]) ).
fof(f1713,plain,
( ~ sQ23_spl
| ~ sQ2_spl
| h(e13) = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1128,f1712]) ).
fof(f1714,plain,
( ~ sQ23_spl
| ~ sQ2_spl
| h(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f95,f1713]) ).
fof(f1715,plain,
( ~ sQ23_spl
| ~ sQ2_spl
| sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1714,f227]) ).
fof(f1716,plain,
( ~ sQ23_spl
| ~ sQ2_spl
| sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1715]) ).
fof(f1720,plain,
( ~ sQ23_spl
| j(e23) = e14 ),
inference(forward_demodulation,[status(thm)],[f248,f173]) ).
fof(f1736,plain,
( ~ sQ32_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f1379,f209,f276]) ).
fof(f1743,plain,
( ~ sQ32_spl
| ~ sQ23_spl
| e12 = op1(j(e24),e14) ),
inference(forward_demodulation,[status(thm)],[f1720,f964]) ).
fof(f1745,plain,
( ~ sQ32_spl
| ~ sQ23_spl
| j(e24) = op1(e12,e14) ),
inference(forward_demodulation,[status(thm)],[f1720,f941]) ).
fof(f1746,plain,
( ~ sQ32_spl
| ~ sQ23_spl
| e12 = op1(e13,e14) ),
inference(backward_demodulation,[status(thm)],[f1749,f1743]) ).
fof(f1749,plain,
( ~ sQ32_spl
| ~ sQ23_spl
| j(e24) = e13 ),
inference(forward_demodulation,[status(thm)],[f67,f1745]) ).
fof(f1765,plain,
( sQ44_spl
| ~ sQ23_spl
| e14 != e14 ),
inference(forward_demodulation,[status(thm)],[f1720,f316]) ).
fof(f1766,plain,
( sQ44_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1765]) ).
fof(f1767,plain,
( sQ44_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1766]) ).
fof(f1774,plain,
( ~ sQ7_spl
| j(e22) = e11 ),
inference(backward_demodulation,[status(thm)],[f1778,f170]) ).
fof(f1778,plain,
( ~ sQ7_spl
| h(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f90,f1577]) ).
fof(f1781,plain,
( ~ sQ7_spl
| j(e23) = op1(e11,j(e24)) ),
inference(backward_demodulation,[status(thm)],[f1582,f373]) ).
fof(f1788,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| j(e24) = op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f277,f1171]) ).
fof(f1789,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| j(e24) = e13 ),
inference(forward_demodulation,[status(thm)],[f60,f1788]) ).
fof(f1790,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1789,f329]) ).
fof(f1791,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1790]) ).
fof(f1793,plain,
( ~ sQ45_spl
| ~ sQ32_spl
| j(e22) = op1(e10,e12) ),
inference(forward_demodulation,[status(thm)],[f277,f1315]) ).
fof(f1795,plain,
( ~ sQ45_spl
| ~ sQ32_spl
| j(e22) = e14 ),
inference(forward_demodulation,[status(thm)],[f55,f1793]) ).
fof(f1797,plain,
( ~ sQ45_spl
| ~ sQ32_spl
| j(e20) = op1(e10,e14) ),
inference(forward_demodulation,[status(thm)],[f1795,f1319]) ).
fof(f1803,plain,
( ~ sQ45_spl
| ~ sQ32_spl
| j(e20) = e12 ),
inference(forward_demodulation,[status(thm)],[f57,f1797]) ).
fof(f1804,plain,
( ~ sQ45_spl
| ~ sQ32_spl
| e12 = op1(j(e21),e10) ),
inference(forward_demodulation,[status(thm)],[f1803,f1321]) ).
fof(f1805,plain,
( ~ sQ45_spl
| ~ sQ32_spl
| e12 = op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f277,f1804]) ).
fof(f1806,plain,
( ~ sQ45_spl
| ~ sQ32_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f63,f1805]) ).
fof(f1807,plain,
( ~ sQ45_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1806,f12]) ).
fof(f1808,plain,
( ~ sQ45_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1807]) ).
fof(f1834,plain,
( ~ sQ22_spl
| j(e24) = op1(j(e20),e14) ),
inference(backward_demodulation,[status(thm)],[f1026,f361]) ).
fof(f1835,plain,
( ~ sQ22_spl
| j(e20) = op1(j(e24),e14) ),
inference(backward_demodulation,[status(thm)],[f1026,f381]) ).
fof(f1837,plain,
( ~ sQ22_spl
| j(e21) = op1(e14,j(e20)) ),
inference(backward_demodulation,[status(thm)],[f1026,f369]) ).
fof(f1852,plain,
( ~ sQ37_spl
| h(e10) = op2(e22,h(e11)) ),
inference(backward_demodulation,[status(thm)],[f1568,f345]) ).
fof(f1857,plain,
( ~ sQ37_spl
| h(e11) = op2(e22,h(e10)) ),
inference(backward_demodulation,[status(thm)],[f1568,f344]) ).
fof(f1873,plain,
( ~ sQ2_spl
| ~ sQ22_spl
| e14 = e10 ),
inference(forward_demodulation,[status(thm)],[f1026,f1125]) ).
fof(f1874,plain,
( ~ sQ2_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1873,f11]) ).
fof(f1875,plain,
( ~ sQ2_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1874]) ).
fof(f1876,plain,
( ~ sQ48_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f1682,f234,f327]) ).
fof(f1884,plain,
( ~ sQ48_spl
| j(e21) = op1(j(e20),e13) ),
inference(backward_demodulation,[status(thm)],[f328,f363]) ).
fof(f1885,plain,
( ~ sQ48_spl
| j(e20) = op1(j(e21),e13) ),
inference(backward_demodulation,[status(thm)],[f328,f368]) ).
fof(f1934,plain,
( ~ sQ28_spl
| e20 = op2(h(e10),h(e11)) ),
inference(backward_demodulation,[status(thm)],[f1664,f335]) ).
fof(f1982,plain,
( ~ sQ1_spl
| h(e10) = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f178,f1274]) ).
fof(f2001,plain,
( ~ sQ44_spl
| ~ sQ1_spl
| j(e20) = op1(e14,e10) ),
inference(forward_demodulation,[status(thm)],[f1275,f407]) ).
fof(f2007,plain,
( ~ sQ44_spl
| ~ sQ1_spl
| j(e20) = e13 ),
inference(forward_demodulation,[status(thm)],[f73,f2001]) ).
fof(f2019,plain,
( ~ sQ44_spl
| ~ sQ1_spl
| e14 = op1(e13,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f2007,f411]) ).
fof(f2020,plain,
( ~ sQ44_spl
| ~ sQ1_spl
| e14 = op1(e13,e10) ),
inference(forward_demodulation,[status(thm)],[f1275,f2019]) ).
fof(f2021,plain,
( ~ sQ44_spl
| ~ sQ1_spl
| e14 = e12 ),
inference(forward_demodulation,[status(thm)],[f68,f2020]) ).
fof(f2022,plain,
( ~ sQ44_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2021,f16]) ).
fof(f2023,plain,
( ~ sQ44_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f2022]) ).
fof(f2027,plain,
( ~ sQ44_spl
| j(e20) = op1(j(e22),e14) ),
inference(forward_demodulation,[status(thm)],[f315,f372]) ).
fof(f2028,plain,
( ~ sQ44_spl
| j(e22) = op1(j(e20),e14) ),
inference(forward_demodulation,[status(thm)],[f315,f362]) ).
fof(f2037,plain,
( ~ sQ31_spl
| h(e12) = op2(e21,h(e13)) ),
inference(backward_demodulation,[status(thm)],[f1521,f342]) ).
fof(f2038,plain,
( ~ sQ31_spl
| h(e13) = op2(e21,h(e12)) ),
inference(backward_demodulation,[status(thm)],[f1521,f341]) ).
fof(f2039,plain,
( ~ sQ31_spl
| e21 = op2(h(e10),h(e13)) ),
inference(backward_demodulation,[status(thm)],[f1521,f337]) ).
fof(f2068,plain,
( ~ sQ39_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f418,f244,f298]) ).
fof(f2075,plain,
( ~ sQ44_spl
| e14 = op1(j(e21),j(e22)) ),
inference(forward_demodulation,[status(thm)],[f315,f366]) ).
fof(f2137,plain,
( ~ sQ32_spl
| ~ sQ39_spl
| j(e24) = op1(e14,e12) ),
inference(forward_demodulation,[status(thm)],[f299,f969]) ).
fof(f2140,plain,
( ~ sQ32_spl
| ~ sQ39_spl
| j(e24) = e11 ),
inference(forward_demodulation,[status(thm)],[f75,f2137]) ).
fof(f2141,plain,
( ~ sQ32_spl
| ~ sQ39_spl
| e14 = op1(j(e24),e12) ),
inference(forward_demodulation,[status(thm)],[f299,f970]) ).
fof(f2142,plain,
( ~ sQ32_spl
| ~ sQ39_spl
| e14 = op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f2140,f2141]) ).
fof(f2143,plain,
( ~ sQ32_spl
| ~ sQ39_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f60,f2142]) ).
fof(f2144,plain,
( ~ sQ32_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2143,f17]) ).
fof(f2145,plain,
( ~ sQ32_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2144]) ).
fof(f2146,plain,
( ~ sQ47_spl
| j(e20) = op1(e12,j(e22)) ),
inference(backward_demodulation,[status(thm)],[f2148,f381]) ).
fof(f2148,plain,
( ~ sQ47_spl
| j(e24) = e12 ),
inference(forward_demodulation,[status(thm)],[f65,f1540]) ).
fof(f2166,plain,
( ~ sQ3_spl
| j(e23) = e10 ),
inference(backward_demodulation,[status(thm)],[f184,f169]) ).
fof(f2179,plain,
( ~ sQ3_spl
| h(e14) = op2(e23,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f184,f336]) ).
fof(f2180,plain,
( ~ sQ3_spl
| ~ sQ47_spl
| h(e14) = op2(e23,e24) ),
inference(forward_demodulation,[status(thm)],[f1553,f2179]) ).
fof(f2184,plain,
( ~ sQ3_spl
| ~ sQ47_spl
| h(e14) = e22 ),
inference(forward_demodulation,[status(thm)],[f97,f2180]) ).
fof(f2185,plain,
( ~ sQ3_spl
| ~ sQ47_spl
| h(e13) = op2(e22,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f2184,f354]) ).
fof(f2186,plain,
( ~ sQ3_spl
| ~ sQ47_spl
| h(e13) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f184,f2185]) ).
fof(f2194,plain,
( ~ sQ3_spl
| ~ sQ47_spl
| h(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f91,f2186]) ).
fof(f2204,plain,
( ~ sQ3_spl
| ~ sQ47_spl
| e22 = op2(h(e12),h(e13)) ),
inference(forward_demodulation,[status(thm)],[f2184,f347]) ).
fof(f2205,plain,
( ~ sQ3_spl
| ~ sQ47_spl
| e22 = op2(e24,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f1553,f2204]) ).
fof(f2206,plain,
( ~ sQ3_spl
| ~ sQ47_spl
| e22 = op2(e24,e20) ),
inference(forward_demodulation,[status(thm)],[f2194,f2205]) ).
fof(f2207,plain,
( ~ sQ3_spl
| ~ sQ47_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f98,f2206]) ).
fof(f2208,plain,
( ~ sQ3_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2207,f25]) ).
fof(f2209,plain,
( ~ sQ3_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2208]) ).
fof(f2222,plain,
( ~ sQ40_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f540,f183,f302]) ).
fof(f2227,plain,
( ~ sQ40_spl
| j(e20) = op1(e10,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f303,f375]) ).
fof(f2230,plain,
( ~ sQ7_spl
| j(e21) = op1(e11,j(e20)) ),
inference(backward_demodulation,[status(thm)],[f1774,f369]) ).
fof(f2238,plain,
( ~ sQ7_spl
| h(e14) = op2(e22,h(e10)) ),
inference(backward_demodulation,[status(thm)],[f1778,f339]) ).
fof(f2239,plain,
( ~ sQ7_spl
| h(e10) = op2(e22,h(e14)) ),
inference(backward_demodulation,[status(thm)],[f1778,f343]) ).
fof(f2260,plain,
( ~ sQ36_spl
| ~ sQ40_spl
| j(e20) = op1(e11,e10) ),
inference(forward_demodulation,[status(thm)],[f303,f715]) ).
fof(f2273,plain,
( ~ sQ36_spl
| ~ sQ40_spl
| j(e20) = e14 ),
inference(forward_demodulation,[status(thm)],[f58,f2260]) ).
fof(f2276,plain,
( ~ sQ36_spl
| ~ sQ40_spl
| j(e24) = op1(e14,e11) ),
inference(forward_demodulation,[status(thm)],[f2273,f1175]) ).
fof(f2283,plain,
( ~ sQ36_spl
| ~ sQ40_spl
| j(e24) = e12 ),
inference(forward_demodulation,[status(thm)],[f74,f2276]) ).
fof(f2291,plain,
( ~ sQ30_spl
| j(e21) = op1(j(e21),e10) ),
inference(backward_demodulation,[status(thm)],[f2295,f365]) ).
fof(f2293,plain,
( ~ sQ30_spl
| h(e10) = e21 ),
inference(backward_demodulation,[status(thm)],[f2295,f165]) ).
fof(f2295,plain,
( ~ sQ30_spl
| e10 = j(e21) ),
inference(forward_demodulation,[status(thm)],[f363,f532]) ).
fof(f2306,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| ~ sQ40_spl
| e10 = op1(e12,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f2283,f502]) ).
fof(f2307,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| ~ sQ40_spl
| e10 = op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f303,f2306]) ).
fof(f2308,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| ~ sQ40_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f63,f2307]) ).
fof(f2309,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2308,f8]) ).
fof(f2310,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f2309]) ).
fof(f2314,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| e20 = op2(e22,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f1778,f628]) ).
fof(f2315,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ30_spl
| e20 = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f579,f2314]) ).
fof(f2316,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ30_spl
| e20 = e24 ),
inference(forward_demodulation,[status(thm)],[f89,f2315]) ).
fof(f2317,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2316,f21]) ).
fof(f2318,plain,
( ~ sQ20_spl
| ~ sQ7_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2317]) ).
fof(f2327,plain,
( ~ sQ29_spl
| j(e20) = e14 ),
inference(forward_demodulation,[status(thm)],[f77,f1225]) ).
fof(f2331,plain,
( ~ sQ29_spl
| j(e24) = op1(e14,j(e22)) ),
inference(forward_demodulation,[status(thm)],[f2327,f361]) ).
fof(f2332,plain,
( ~ sQ29_spl
| ~ sQ7_spl
| j(e24) = op1(e14,e11) ),
inference(forward_demodulation,[status(thm)],[f1774,f2331]) ).
fof(f2334,plain,
( ~ sQ29_spl
| ~ sQ7_spl
| j(e24) = e12 ),
inference(forward_demodulation,[status(thm)],[f74,f2332]) ).
fof(f2335,plain,
( ~ sQ7_spl
| h(e13) = op2(e22,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f1778,f341]) ).
fof(f2336,plain,
( ~ sQ7_spl
| h(e12) = op2(e22,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f1778,f342]) ).
fof(f2356,plain,
( sQ47_spl
| ~ sQ29_spl
| ~ sQ7_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f2334,f326]) ).
fof(f2357,plain,
( sQ47_spl
| ~ sQ29_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2356]) ).
fof(f2358,plain,
( sQ47_spl
| ~ sQ29_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f2357]) ).
fof(f2366,plain,
( ~ sQ19_spl
| e24 = h(e13) ),
inference(forward_demodulation,[status(thm)],[f335,f471]) ).
fof(f2374,plain,
( ~ sQ48_spl
| ~ sQ29_spl
| j(e21) = op1(e14,e13) ),
inference(forward_demodulation,[status(thm)],[f2327,f1884]) ).
fof(f2375,plain,
( ~ sQ48_spl
| ~ sQ29_spl
| j(e21) = e10 ),
inference(forward_demodulation,[status(thm)],[f76,f2374]) ).
fof(f2376,plain,
( ~ sQ48_spl
| ~ sQ29_spl
| e14 = op1(j(e21),e13) ),
inference(forward_demodulation,[status(thm)],[f2327,f1885]) ).
fof(f2377,plain,
( ~ sQ48_spl
| ~ sQ29_spl
| e14 = op1(e10,e13) ),
inference(forward_demodulation,[status(thm)],[f2375,f2376]) ).
fof(f2378,plain,
( ~ sQ48_spl
| ~ sQ29_spl
| e14 = e11 ),
inference(forward_demodulation,[status(thm)],[f56,f2377]) ).
fof(f2379,plain,
( ~ sQ48_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2378,f14]) ).
fof(f2380,plain,
( ~ sQ48_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f2379]) ).
fof(f2392,plain,
( ~ sQ19_spl
| e13 = op1(j(e21),j(e23)) ),
inference(forward_demodulation,[status(thm)],[f464,f367]) ).
fof(f2397,plain,
( ~ sQ41_spl
| ~ sQ19_spl
| j(e21) = op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f464,f1442]) ).
fof(f2407,plain,
( ~ sQ41_spl
| ~ sQ19_spl
| j(e21) = e14 ),
inference(forward_demodulation,[status(thm)],[f69,f2397]) ).
fof(f2423,plain,
( ~ sQ41_spl
| ~ sQ19_spl
| j(e20) = op1(e11,e14) ),
inference(forward_demodulation,[status(thm)],[f2407,f1446]) ).
fof(f2430,plain,
( ~ sQ41_spl
| ~ sQ19_spl
| j(e20) = e10 ),
inference(forward_demodulation,[status(thm)],[f62,f2423]) ).
fof(f2431,plain,
( ~ sQ41_spl
| ~ sQ19_spl
| j(e22) = op1(e10,e11) ),
inference(forward_demodulation,[status(thm)],[f2430,f1447]) ).
fof(f2432,plain,
( ~ sQ41_spl
| ~ sQ19_spl
| j(e22) = e13 ),
inference(forward_demodulation,[status(thm)],[f54,f2431]) ).
fof(f2435,plain,
( ~ sQ41_spl
| ~ sQ19_spl
| e14 = op1(e11,j(e22)) ),
inference(forward_demodulation,[status(thm)],[f2407,f1450]) ).
fof(f2436,plain,
( ~ sQ41_spl
| ~ sQ19_spl
| e14 = op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f2432,f2435]) ).
fof(f2437,plain,
( ~ sQ41_spl
| ~ sQ19_spl
| e14 = e12 ),
inference(forward_demodulation,[status(thm)],[f61,f2436]) ).
fof(f2438,plain,
( ~ sQ41_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2437,f16]) ).
fof(f2439,plain,
( ~ sQ41_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2438]) ).
fof(f2475,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| h(e12) = op2(e21,e24) ),
inference(forward_demodulation,[status(thm)],[f2366,f2037]) ).
fof(f2492,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| h(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f87,f2475]) ).
fof(f2493,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| e24 = op2(e21,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f2366,f2038]) ).
fof(f2494,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| e24 = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f2492,f2493]) ).
fof(f2495,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| e24 = e22 ),
inference(forward_demodulation,[status(thm)],[f83,f2494]) ).
fof(f2496,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2495,f26]) ).
fof(f2497,plain,
( ~ sQ31_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2496]) ).
fof(f2548,plain,
( ~ sQ22_spl
| ~ sQ19_spl
| j(e20) = op1(e13,e14) ),
inference(forward_demodulation,[status(thm)],[f464,f1835]) ).
fof(f2557,plain,
( ~ sQ22_spl
| ~ sQ19_spl
| j(e20) = e11 ),
inference(forward_demodulation,[status(thm)],[f72,f2548]) ).
fof(f2559,plain,
( ~ sQ22_spl
| ~ sQ19_spl
| j(e21) = op1(e14,e11) ),
inference(forward_demodulation,[status(thm)],[f2557,f1837]) ).
fof(f2560,plain,
( ~ sQ22_spl
| ~ sQ19_spl
| j(e21) = e12 ),
inference(forward_demodulation,[status(thm)],[f74,f2559]) ).
fof(f2561,plain,
( ~ sQ22_spl
| ~ sQ19_spl
| sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2560,f278]) ).
fof(f2562,plain,
( ~ sQ22_spl
| ~ sQ19_spl
| sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2561]) ).
fof(f2569,plain,
( ~ sQ42_spl
| h(e12) = e23 ),
inference(backward_demodulation,[status(thm)],[f309,f167]) ).
fof(f2571,plain,
( ~ sQ42_spl
| j(e21) = op1(e12,j(e22)) ),
inference(backward_demodulation,[status(thm)],[f309,f376]) ).
fof(f2607,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| h(e13) = op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f1521,f1499]) ).
fof(f2622,plain,
( ~ sQ32_spl
| e12 = op1(j(e22),j(e20)) ),
inference(backward_demodulation,[status(thm)],[f2630,f369]) ).
fof(f2624,plain,
( ~ sQ32_spl
| j(e20) = op1(e12,j(e24)) ),
inference(backward_demodulation,[status(thm)],[f2630,f368]) ).
fof(f2625,plain,
( ~ sQ32_spl
| e12 = op1(j(e20),j(e24)) ),
inference(backward_demodulation,[status(thm)],[f2630,f363]) ).
fof(f2630,plain,
( ~ sQ32_spl
| e12 = j(e21) ),
inference(forward_demodulation,[status(thm)],[f369,f1430]) ).
fof(f2649,plain,
( ~ sQ32_spl
| ~ sQ23_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f72,f1746]) ).
fof(f2650,plain,
( ~ sQ32_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2649,f12]) ).
fof(f2651,plain,
( ~ sQ32_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2650]) ).
fof(f2656,plain,
( ~ sQ31_spl
| e11 = op1(j(e24),j(e23)) ),
inference(backward_demodulation,[status(thm)],[f2668,f382]) ).
fof(f2668,plain,
( ~ sQ31_spl
| e11 = j(e21) ),
inference(forward_demodulation,[status(thm)],[f376,f1535]) ).
fof(f2685,plain,
( ~ sQ31_spl
| e21 = h(e11) ),
inference(forward_demodulation,[status(thm)],[f337,f2039]) ).
fof(f2707,plain,
( ~ sQ37_spl
| ~ sQ31_spl
| h(e10) = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f2685,f1852]) ).
fof(f2719,plain,
( ~ sQ37_spl
| ~ sQ31_spl
| h(e10) = e24 ),
inference(forward_demodulation,[status(thm)],[f89,f2707]) ).
fof(f2731,plain,
( ~ sQ37_spl
| ~ sQ31_spl
| e21 = op2(e22,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f2685,f1857]) ).
fof(f2732,plain,
( ~ sQ37_spl
| ~ sQ31_spl
| e21 = op2(e22,e24) ),
inference(forward_demodulation,[status(thm)],[f2719,f2731]) ).
fof(f2733,plain,
( ~ sQ37_spl
| ~ sQ31_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f92,f2732]) ).
fof(f2734,plain,
( ~ sQ37_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2733,f23]) ).
fof(f2735,plain,
( ~ sQ37_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2734]) ).
fof(f2745,plain,
( ~ sQ9_spl
| h(e11) = op2(e24,e24) ),
inference(backward_demodulation,[status(thm)],[f203,f489]) ).
fof(f2751,plain,
( ~ sQ46_spl
| j(e21) = op1(j(e20),e11) ),
inference(forward_demodulation,[status(thm)],[f322,f363]) ).
fof(f2752,plain,
( ~ sQ46_spl
| j(e20) = op1(j(e21),e11) ),
inference(forward_demodulation,[status(thm)],[f322,f368]) ).
fof(f2763,plain,
( ~ sQ9_spl
| j(e24) = e11 ),
inference(forward_demodulation,[status(thm)],[f203,f170]) ).
fof(f2789,plain,
( ~ sQ32_spl
| j(e22) = op1(e12,j(e20)) ),
inference(backward_demodulation,[status(thm)],[f2797,f364]) ).
fof(f2790,plain,
( ~ sQ32_spl
| e12 = op1(j(e22),j(e20)) ),
inference(backward_demodulation,[status(thm)],[f2797,f369]) ).
fof(f2797,plain,
( ~ sQ32_spl
| e12 = j(e21) ),
inference(forward_demodulation,[status(thm)],[f369,f2622]) ).
fof(f2798,plain,
( ~ sQ32_spl
| ~ sQ46_spl
| j(e20) = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f322,f2624]) ).
fof(f2804,plain,
( ~ sQ32_spl
| ~ sQ46_spl
| j(e20) = e10 ),
inference(forward_demodulation,[status(thm)],[f64,f2798]) ).
fof(f2805,plain,
( ~ sQ32_spl
| ~ sQ46_spl
| e12 = op1(e10,j(e24)) ),
inference(forward_demodulation,[status(thm)],[f2804,f2625]) ).
fof(f2806,plain,
( ~ sQ32_spl
| ~ sQ46_spl
| e12 = op1(e10,e11) ),
inference(forward_demodulation,[status(thm)],[f322,f2805]) ).
fof(f2807,plain,
( ~ sQ32_spl
| ~ sQ46_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f54,f2806]) ).
fof(f2808,plain,
( ~ sQ32_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2807,f15]) ).
fof(f2809,plain,
( ~ sQ32_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2808]) ).
fof(f2825,plain,
( ~ sQ2_spl
| h(e13) = op2(h(e14),e22) ),
inference(backward_demodulation,[status(thm)],[f2827,f354]) ).
fof(f2827,plain,
( ~ sQ2_spl
| e22 = h(e10) ),
inference(forward_demodulation,[status(thm)],[f357,f1133]) ).
fof(f2832,plain,
( ~ sQ41_spl
| h(e11) = e23 ),
inference(backward_demodulation,[status(thm)],[f2834,f167]) ).
fof(f2833,plain,
( ~ sQ41_spl
| j(e23) = op1(j(e23),e11) ),
inference(backward_demodulation,[status(thm)],[f2834,f377]) ).
fof(f2834,plain,
( ~ sQ41_spl
| e11 = j(e23) ),
inference(forward_demodulation,[status(thm)],[f373,f1451]) ).
fof(f2873,plain,
( ~ sQ17_spl
| ~ sQ2_spl
| h(e12) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2827,f1000]) ).
fof(f2874,plain,
( ~ sQ17_spl
| ~ sQ2_spl
| h(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f90,f2873]) ).
fof(f2875,plain,
( ~ sQ17_spl
| ~ sQ2_spl
| sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2874,f214]) ).
fof(f2876,plain,
( ~ sQ17_spl
| ~ sQ2_spl
| sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f2875]) ).
fof(f2882,plain,
( ~ sQ41_spl
| e11 = op1(j(e24),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f2834,f379]) ).
fof(f2883,plain,
( ~ sQ41_spl
| j(e24) = op1(e11,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f2834,f374]) ).
fof(f2895,plain,
( ~ sQ20_spl
| e20 = h(e14) ),
inference(forward_demodulation,[status(thm)],[f336,f634]) ).
fof(f2901,plain,
( ~ sQ41_spl
| ~ sQ29_spl
| j(e24) = op1(e11,e14) ),
inference(backward_demodulation,[status(thm)],[f2327,f2883]) ).
fof(f2902,plain,
( ~ sQ41_spl
| ~ sQ29_spl
| e11 = op1(j(e24),e14) ),
inference(backward_demodulation,[status(thm)],[f2327,f2882]) ).
fof(f2947,plain,
( ~ sQ20_spl
| h(e12) = op2(e20,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f2895,f355]) ).
fof(f2948,plain,
( ~ sQ20_spl
| ~ sQ41_spl
| h(e12) = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f775,f2947]) ).
fof(f2949,plain,
( ~ sQ20_spl
| ~ sQ41_spl
| h(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f81,f2948]) ).
fof(f2950,plain,
( ~ sQ20_spl
| ~ sQ41_spl
| sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2949,f214]) ).
fof(f2951,plain,
( ~ sQ20_spl
| ~ sQ41_spl
| sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f2950]) ).
fof(f2954,plain,
( ~ sQ7_spl
| j(e23) = op1(e11,j(e24)) ),
inference(backward_demodulation,[status(thm)],[f1774,f373]) ).
fof(f2960,plain,
( ~ sQ7_spl
| h(e11) = e22 ),
inference(backward_demodulation,[status(thm)],[f1774,f166]) ).
fof(f2973,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| j(e20) = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f1774,f2146]) ).
fof(f2977,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| j(e20) = e10 ),
inference(forward_demodulation,[status(thm)],[f64,f2973]) ).
fof(f2985,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| j(e23) = op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f2977,f1547]) ).
fof(f2987,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| j(e23) = e11 ),
inference(forward_demodulation,[status(thm)],[f63,f2985]) ).
fof(f2988,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| e12 = op1(e11,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f2987,f1548]) ).
fof(f2989,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| e12 = j(e21) ),
inference(forward_demodulation,[status(thm)],[f2230,f2988]) ).
fof(f2990,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2989,f278]) ).
fof(f2991,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2990]) ).
fof(f3013,plain,
( ~ sQ44_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f404,f247,f314]) ).
fof(f3040,plain,
( ~ sQ44_spl
| ~ sQ7_spl
| j(e21) = op1(e14,e11) ),
inference(forward_demodulation,[status(thm)],[f1774,f406]) ).
fof(f3048,plain,
( ~ sQ44_spl
| ~ sQ7_spl
| j(e21) = e12 ),
inference(forward_demodulation,[status(thm)],[f74,f3040]) ).
fof(f3104,plain,
( ~ sQ44_spl
| ~ sQ7_spl
| e14 = op1(e12,j(e22)) ),
inference(forward_demodulation,[status(thm)],[f3048,f2075]) ).
fof(f3105,plain,
( ~ sQ44_spl
| ~ sQ7_spl
| e14 = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f1774,f3104]) ).
fof(f3106,plain,
( ~ sQ44_spl
| ~ sQ7_spl
| e14 = e10 ),
inference(forward_demodulation,[status(thm)],[f64,f3105]) ).
fof(f3107,plain,
( ~ sQ44_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3106,f11]) ).
fof(f3108,plain,
( ~ sQ44_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f3107]) ).
fof(f3120,plain,
( ~ sQ0_spl
| j(e22) = op1(j(e21),e10) ),
inference(forward_demodulation,[status(thm)],[f930,f364]) ).
fof(f3160,plain,
( ~ sQ0_spl
| h(e13) = op2(e20,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f175,f335]) ).
fof(f3165,plain,
( ~ sQ0_spl
| j(e24) = op1(e10,j(e22)) ),
inference(forward_demodulation,[status(thm)],[f930,f361]) ).
fof(f3167,plain,
( ~ sQ41_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f2832,f199,f305]) ).
fof(f3168,plain,
( ~ sQ41_spl
| j(e23) = op1(e11,e11) ),
inference(backward_demodulation,[status(thm)],[f2834,f2833]) ).
fof(f3177,plain,
( ~ sQ41_spl
| ~ sQ0_spl
| j(e24) = op1(e11,e10) ),
inference(forward_demodulation,[status(thm)],[f930,f820]) ).
fof(f3184,plain,
( ~ sQ41_spl
| ~ sQ0_spl
| j(e24) = e14 ),
inference(forward_demodulation,[status(thm)],[f58,f3177]) ).
fof(f3194,plain,
( ~ sQ41_spl
| ~ sQ0_spl
| e11 = op1(e14,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f3184,f1444]) ).
fof(f3195,plain,
( ~ sQ41_spl
| ~ sQ0_spl
| e11 = op1(e14,e10) ),
inference(forward_demodulation,[status(thm)],[f930,f3194]) ).
fof(f3196,plain,
( ~ sQ41_spl
| ~ sQ0_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f73,f3195]) ).
fof(f3197,plain,
( ~ sQ41_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3196,f13]) ).
fof(f3198,plain,
( ~ sQ41_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f3197]) ).
fof(f3208,plain,
( ~ sQ9_spl
| h(e11) = e24 ),
inference(forward_demodulation,[status(thm)],[f102,f2745]) ).
fof(f3214,plain,
( ~ sQ9_spl
| e11 = op1(j(e23),j(e20)) ),
inference(backward_demodulation,[status(thm)],[f2763,f374]) ).
fof(f3280,plain,
( ~ sQ46_spl
| ~ sQ16_spl
| j(e20) = op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f1105,f2752]) ).
fof(f3284,plain,
( ~ sQ46_spl
| ~ sQ16_spl
| j(e20) = e14 ),
inference(forward_demodulation,[status(thm)],[f69,f3280]) ).
fof(f3285,plain,
( ~ sQ46_spl
| ~ sQ16_spl
| e13 = op1(j(e20),e11) ),
inference(forward_demodulation,[status(thm)],[f1105,f2751]) ).
fof(f3286,plain,
( ~ sQ46_spl
| ~ sQ16_spl
| e13 = op1(e14,e11) ),
inference(forward_demodulation,[status(thm)],[f3284,f3285]) ).
fof(f3287,plain,
( ~ sQ46_spl
| ~ sQ16_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f74,f3286]) ).
fof(f3288,plain,
( ~ sQ46_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3287,f15]) ).
fof(f3289,plain,
( ~ sQ46_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f3288]) ).
fof(f3336,plain,
( ~ sQ40_spl
| ~ sQ16_spl
| j(e20) = op1(e10,e13) ),
inference(forward_demodulation,[status(thm)],[f1105,f2227]) ).
fof(f3337,plain,
( ~ sQ40_spl
| ~ sQ16_spl
| j(e20) = e11 ),
inference(forward_demodulation,[status(thm)],[f56,f3336]) ).
fof(f3338,plain,
( ~ sQ40_spl
| ~ sQ16_spl
| sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3337,f259]) ).
fof(f3339,plain,
( ~ sQ40_spl
| ~ sQ16_spl
| sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f3338]) ).
fof(f3344,plain,
( ~ sQ3_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f2166,f302,f183]) ).
fof(f3363,plain,
( ~ sQ37_spl
| ~ sQ3_spl
| h(e11) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f184,f1857]) ).
fof(f3368,plain,
( ~ sQ37_spl
| ~ sQ3_spl
| h(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f91,f3363]) ).
fof(f3370,plain,
( ~ sQ37_spl
| ~ sQ3_spl
| e23 = op2(e22,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f184,f1852]) ).
fof(f3371,plain,
( ~ sQ37_spl
| ~ sQ3_spl
| e23 = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f3368,f3370]) ).
fof(f3372,plain,
( ~ sQ37_spl
| ~ sQ3_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f88,f3371]) ).
fof(f3373,plain,
( ~ sQ37_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3372,f23]) ).
fof(f3374,plain,
( ~ sQ37_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f3373]) ).
fof(f3375,plain,
( ~ sQ45_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f1325,f186,f318]) ).
fof(f3381,plain,
( ~ sQ5_spl
| ~ sQ3_spl
| e20 = op2(e23,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f184,f655]) ).
fof(f3382,plain,
( ~ sQ5_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f678,f257,f190]) ).
fof(f3399,plain,
( ~ sQ5_spl
| h(e13) = op2(e20,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f191,f341]) ).
fof(f3407,plain,
( ~ sQ5_spl
| j(e20) = e11 ),
inference(forward_demodulation,[status(thm)],[f191,f170]) ).
fof(f3426,plain,
( ~ sQ33_spl
| e13 = op1(j(e20),j(e24)) ),
inference(forward_demodulation,[status(thm)],[f280,f363]) ).
fof(f3427,plain,
( ~ sQ33_spl
| ~ sQ5_spl
| e13 = op1(e11,j(e24)) ),
inference(forward_demodulation,[status(thm)],[f3407,f3426]) ).
fof(f3428,plain,
( ~ sQ33_spl
| ~ sQ5_spl
| ~ sQ45_spl
| e13 = op1(e11,e10) ),
inference(forward_demodulation,[status(thm)],[f319,f3427]) ).
fof(f3429,plain,
( ~ sQ33_spl
| ~ sQ5_spl
| ~ sQ45_spl
| e13 = e14 ),
inference(forward_demodulation,[status(thm)],[f58,f3428]) ).
fof(f3430,plain,
( ~ sQ33_spl
| ~ sQ5_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3429,f17]) ).
fof(f3431,plain,
( ~ sQ33_spl
| ~ sQ5_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f3430]) ).
fof(f3442,plain,
( ~ sQ28_spl
| e20 = h(e13) ),
inference(forward_demodulation,[status(thm)],[f335,f1934]) ).
fof(f3463,plain,
( ~ sQ13_spl
| ~ sQ28_spl
| h(e10) = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f3442,f1500]) ).
fof(f3464,plain,
( ~ sQ13_spl
| ~ sQ28_spl
| h(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f81,f3463]) ).
fof(f3465,plain,
( ~ sQ13_spl
| ~ sQ28_spl
| sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3464,f182]) ).
fof(f3466,plain,
( ~ sQ13_spl
| ~ sQ28_spl
| sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f3465]) ).
fof(f3499,plain,
( ~ sQ19_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f464,f327,f234]) ).
fof(f3557,plain,
( ~ sQ30_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f2293,f177,f270]) ).
fof(f3558,plain,
( ~ sQ30_spl
| j(e21) = op1(e10,e10) ),
inference(backward_demodulation,[status(thm)],[f2295,f2291]) ).
fof(f3563,plain,
( ~ sQ30_spl
| j(e20) = op1(j(e23),e10) ),
inference(backward_demodulation,[status(thm)],[f2295,f375]) ).
fof(f3613,plain,
( ~ sQ44_spl
| ~ sQ0_spl
| j(e22) = op1(e10,e14) ),
inference(backward_demodulation,[status(thm)],[f930,f2028]) ).
fof(f3614,plain,
( ~ sQ44_spl
| ~ sQ0_spl
| e10 = op1(j(e22),e14) ),
inference(backward_demodulation,[status(thm)],[f930,f2027]) ).
fof(f3657,plain,
( ~ sQ19_spl
| j(e24) = e13 ),
inference(forward_demodulation,[status(thm)],[f2392,f367]) ).
fof(f3667,plain,
( ~ sQ10_spl
| h(e12) = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f207,f1069]) ).
fof(f3699,plain,
( ~ sQ10_spl
| e12 = op1(j(e21),j(e24)) ),
inference(forward_demodulation,[status(thm)],[f1068,f368]) ).
fof(f3714,plain,
( ~ sQ10_spl
| j(e21) = op1(e12,j(e24)) ),
inference(forward_demodulation,[status(thm)],[f1068,f363]) ).
fof(f3784,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| j(e23) = op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f3657,f2954]) ).
fof(f3785,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| j(e23) = e12 ),
inference(forward_demodulation,[status(thm)],[f61,f3784]) ).
fof(f3786,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3785,f310]) ).
fof(f3787,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f3786]) ).
fof(f3800,plain,
( ~ sQ1_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1275,f270,f177]) ).
fof(f3806,plain,
( ~ sQ1_spl
| h(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f84,f1982]) ).
fof(f3816,plain,
( ~ sQ8_spl
| j(e23) = e11 ),
inference(backward_demodulation,[status(thm)],[f200,f170]) ).
fof(f3820,plain,
( ~ sQ8_spl
| h(e14) = op2(e23,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f200,f339]) ).
fof(f3821,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| h(e14) = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f3806,f3820]) ).
fof(f3827,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| h(e14) = e20 ),
inference(forward_demodulation,[status(thm)],[f94,f3821]) ).
fof(f3855,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| h(e13) = op2(e20,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f3827,f354]) ).
fof(f3856,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| h(e13) = op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f3806,f3855]) ).
fof(f3864,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| h(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f79,f3856]) ).
fof(f3865,plain,
( ~ sQ1_spl
| e21 = op2(h(e14),h(e13)) ),
inference(forward_demodulation,[status(thm)],[f3806,f357]) ).
fof(f3866,plain,
( ~ sQ1_spl
| ~ sQ8_spl
| e21 = op2(e20,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f3827,f3865]) ).
fof(f3867,plain,
( ~ sQ1_spl
| ~ sQ8_spl
| e21 = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f3864,f3866]) ).
fof(f3868,plain,
( ~ sQ1_spl
| ~ sQ8_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f81,f3867]) ).
fof(f3869,plain,
( ~ sQ1_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3868,f22]) ).
fof(f3870,plain,
( ~ sQ1_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f3869]) ).
fof(f3879,plain,
( ~ sQ8_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f3816,f305,f199]) ).
fof(f3899,plain,
( ~ sQ27_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f1355,f206,f260]) ).
fof(f3902,plain,
( ~ sQ24_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f444,f330,f250]) ).
fof(f3935,plain,
( ~ sQ24_spl
| ~ sQ8_spl
| h(e10) = op2(e23,e24) ),
inference(forward_demodulation,[status(thm)],[f200,f454]) ).
fof(f3936,plain,
( ~ sQ24_spl
| ~ sQ8_spl
| h(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f97,f3935]) ).
fof(f3937,plain,
( ~ sQ24_spl
| ~ sQ8_spl
| e24 = op2(e23,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f200,f455]) ).
fof(f3938,plain,
( ~ sQ24_spl
| ~ sQ8_spl
| e24 = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f3936,f3937]) ).
fof(f3939,plain,
( ~ sQ24_spl
| ~ sQ8_spl
| e24 = e21 ),
inference(forward_demodulation,[status(thm)],[f95,f3938]) ).
fof(f3940,plain,
( ~ sQ24_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3939,f24]) ).
fof(f3941,plain,
( ~ sQ24_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f3940]) ).
fof(f3953,plain,
( ~ sQ30_spl
| j(e21) = e10 ),
inference(forward_demodulation,[status(thm)],[f53,f3558]) ).
fof(f4031,plain,
( ~ sQ5_spl
| j(e23) = op1(e11,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f3407,f360]) ).
fof(f4032,plain,
( ~ sQ5_spl
| ~ sQ30_spl
| j(e23) = op1(e11,e10) ),
inference(forward_demodulation,[status(thm)],[f3953,f4031]) ).
fof(f4033,plain,
( ~ sQ5_spl
| ~ sQ30_spl
| j(e23) = e14 ),
inference(forward_demodulation,[status(thm)],[f58,f4032]) ).
fof(f4034,plain,
( ~ sQ5_spl
| ~ sQ30_spl
| sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4033,f316]) ).
fof(f4035,plain,
( ~ sQ5_spl
| ~ sQ30_spl
| sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f4034]) ).
fof(f4072,plain,
( ~ sQ22_spl
| ~ sQ5_spl
| h(e12) = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f191,f1005]) ).
fof(f4077,plain,
( ~ sQ22_spl
| ~ sQ5_spl
| h(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f88,f4072]) ).
fof(f4078,plain,
( ~ sQ22_spl
| ~ sQ5_spl
| e20 = op2(e22,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f191,f1006]) ).
fof(f4079,plain,
( ~ sQ22_spl
| ~ sQ5_spl
| e20 = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f4077,f4078]) ).
fof(f4080,plain,
( ~ sQ22_spl
| ~ sQ5_spl
| e20 = e24 ),
inference(forward_demodulation,[status(thm)],[f89,f4079]) ).
fof(f4081,plain,
( ~ sQ22_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4080,f21]) ).
fof(f4082,plain,
( ~ sQ22_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f4081]) ).
fof(f4089,plain,
( ~ sQ31_spl
| e11 = op1(j(e23),j(e22)) ),
inference(backward_demodulation,[status(thm)],[f4095,f376]) ).
fof(f4090,plain,
( ~ sQ31_spl
| h(e11) = e21 ),
inference(backward_demodulation,[status(thm)],[f4095,f165]) ).
fof(f4095,plain,
( ~ sQ31_spl
| e11 = j(e21) ),
inference(forward_demodulation,[status(thm)],[f382,f2656]) ).
fof(f4138,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| h(e13) = e24 ),
inference(forward_demodulation,[status(thm)],[f86,f2607]) ).
fof(f4139,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4138,f236]) ).
fof(f4140,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f4139]) ).
fof(f4245,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| h(e13) = op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f4250,f1499]) ).
fof(f4250,plain,
( ~ sQ5_spl
| e20 = h(e11) ),
inference(forward_demodulation,[status(thm)],[f353,f613]) ).
fof(f4301,plain,
( ~ sQ5_spl
| ~ sQ42_spl
| h(e13) = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f2569,f3399]) ).
fof(f4302,plain,
( ~ sQ5_spl
| ~ sQ42_spl
| h(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f81,f4301]) ).
fof(f4303,plain,
( ~ sQ5_spl
| ~ sQ42_spl
| sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4302,f230]) ).
fof(f4304,plain,
( ~ sQ5_spl
| ~ sQ42_spl
| sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f4303]) ).
fof(f4401,plain,
( ~ sQ44_spl
| ~ sQ0_spl
| j(e22) = e12 ),
inference(forward_demodulation,[status(thm)],[f57,f3613]) ).
fof(f4402,plain,
( ~ sQ44_spl
| ~ sQ0_spl
| e10 = op1(e12,e14) ),
inference(forward_demodulation,[status(thm)],[f4401,f3614]) ).
fof(f4403,plain,
( ~ sQ44_spl
| ~ sQ0_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f67,f4402]) ).
fof(f4404,plain,
( ~ sQ44_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4403,f10]) ).
fof(f4405,plain,
( ~ sQ44_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f4404]) ).
fof(f4415,plain,
( ~ sQ33_spl
| j(e22) = op1(e13,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f280,f364]) ).
fof(f4430,plain,
( ~ sQ33_spl
| h(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f280,f165]) ).
fof(f4435,plain,
( ~ sQ33_spl
| j(e20) = op1(e13,j(e24)) ),
inference(forward_demodulation,[status(thm)],[f280,f368]) ).
fof(f4441,plain,
( ~ sQ47_spl
| ~ sQ33_spl
| j(e20) = op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f280,f1062]) ).
fof(f4456,plain,
( ~ sQ47_spl
| ~ sQ33_spl
| j(e20) = e10 ),
inference(forward_demodulation,[status(thm)],[f70,f4441]) ).
fof(f4487,plain,
( ~ sQ47_spl
| ~ sQ33_spl
| e13 = op1(j(e20),e12) ),
inference(forward_demodulation,[status(thm)],[f280,f1028]) ).
fof(f4488,plain,
( ~ sQ47_spl
| ~ sQ33_spl
| e13 = op1(e10,e12) ),
inference(forward_demodulation,[status(thm)],[f4456,f4487]) ).
fof(f4489,plain,
( ~ sQ47_spl
| ~ sQ33_spl
| e13 = e14 ),
inference(forward_demodulation,[status(thm)],[f55,f4488]) ).
fof(f4490,plain,
( ~ sQ47_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4489,f17]) ).
fof(f4491,plain,
( ~ sQ47_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f4490]) ).
fof(f4493,plain,
( ~ sQ41_spl
| j(e23) = e11 ),
inference(forward_demodulation,[status(thm)],[f59,f3168]) ).
fof(f4502,plain,
( ~ sQ10_spl
| h(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f3667]) ).
fof(f4505,plain,
( ~ sQ10_spl
| ~ sQ41_spl
| j(e22) = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f4493,f1079]) ).
fof(f4514,plain,
( ~ sQ10_spl
| ~ sQ41_spl
| j(e22) = e10 ),
inference(forward_demodulation,[status(thm)],[f64,f4505]) ).
fof(f4515,plain,
( ~ sQ10_spl
| ~ sQ41_spl
| e12 = op1(e10,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f4514,f1077]) ).
fof(f4516,plain,
( ~ sQ10_spl
| ~ sQ41_spl
| e12 = op1(e10,e11) ),
inference(forward_demodulation,[status(thm)],[f4493,f4515]) ).
fof(f4517,plain,
( ~ sQ10_spl
| ~ sQ41_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f54,f4516]) ).
fof(f4518,plain,
( ~ sQ10_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4517,f15]) ).
fof(f4519,plain,
( ~ sQ10_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f4518]) ).
fof(f4522,plain,
( ~ sQ5_spl
| h(e13) = op2(h(e10),e20) ),
inference(backward_demodulation,[status(thm)],[f4536,f335]) ).
fof(f4524,plain,
( ~ sQ5_spl
| h(e12) = op2(e20,h(e13)) ),
inference(backward_demodulation,[status(thm)],[f4536,f342]) ).
fof(f4532,plain,
( ~ sQ5_spl
| j(e20) = e11 ),
inference(backward_demodulation,[status(thm)],[f4536,f170]) ).
fof(f4536,plain,
( ~ sQ5_spl
| e20 = h(e11) ),
inference(forward_demodulation,[status(thm)],[f356,f604]) ).
fof(f4579,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| h(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f81,f4245]) ).
fof(f4606,plain,
( ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ13_spl
| e20 = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f4579,f3381]) ).
fof(f4607,plain,
( ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ13_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f95,f4606]) ).
fof(f4608,plain,
( ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4607,f18]) ).
fof(f4609,plain,
( ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f4608]) ).
fof(f4615,plain,
( ~ sQ31_spl
| j(e22) = op1(j(e24),e11) ),
inference(backward_demodulation,[status(thm)],[f4626,f380]) ).
fof(f4623,plain,
( ~ sQ31_spl
| j(e20) = op1(e11,j(e24)) ),
inference(backward_demodulation,[status(thm)],[f4626,f368]) ).
fof(f4624,plain,
( ~ sQ31_spl
| j(e22) = op1(e11,j(e20)) ),
inference(backward_demodulation,[status(thm)],[f4626,f364]) ).
fof(f4626,plain,
( ~ sQ31_spl
| e11 = j(e21) ),
inference(forward_demodulation,[status(thm)],[f376,f4089]) ).
fof(f4637,plain,
( ~ sQ31_spl
| h(e13) = op2(e21,h(e12)) ),
inference(backward_demodulation,[status(thm)],[f4090,f341]) ).
fof(f4638,plain,
( ~ sQ31_spl
| h(e12) = op2(e21,h(e13)) ),
inference(backward_demodulation,[status(thm)],[f4090,f342]) ).
fof(f4656,plain,
( ~ sQ0_spl
| ~ sQ31_spl
| j(e22) = op1(e11,e10) ),
inference(forward_demodulation,[status(thm)],[f4626,f3120]) ).
fof(f4674,plain,
( ~ sQ0_spl
| ~ sQ31_spl
| j(e22) = e14 ),
inference(forward_demodulation,[status(thm)],[f58,f4656]) ).
fof(f4675,plain,
( ~ sQ0_spl
| ~ sQ31_spl
| j(e24) = op1(e10,e14) ),
inference(forward_demodulation,[status(thm)],[f4674,f3165]) ).
fof(f4676,plain,
( ~ sQ0_spl
| ~ sQ31_spl
| j(e24) = e12 ),
inference(forward_demodulation,[status(thm)],[f57,f4675]) ).
fof(f4677,plain,
( ~ sQ0_spl
| ~ sQ31_spl
| sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4676,f326]) ).
fof(f4678,plain,
( ~ sQ0_spl
| ~ sQ31_spl
| sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f4677]) ).
fof(f4694,plain,
( ~ sQ49_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f384,f250,f330]) ).
fof(f4696,plain,
( ~ sQ49_spl
| ~ sQ16_spl
| j(e22) = op1(e14,e13) ),
inference(forward_demodulation,[status(thm)],[f1105,f388]) ).
fof(f4704,plain,
( ~ sQ49_spl
| ~ sQ16_spl
| j(e22) = e10 ),
inference(forward_demodulation,[status(thm)],[f76,f4696]) ).
fof(f4717,plain,
( ~ sQ49_spl
| e14 = j(e24) ),
inference(forward_demodulation,[status(thm)],[f374,f391]) ).
fof(f4718,plain,
( ~ sQ49_spl
| ~ sQ16_spl
| j(e23) = op1(e10,e14) ),
inference(forward_demodulation,[status(thm)],[f4704,f392]) ).
fof(f4719,plain,
( ~ sQ49_spl
| ~ sQ16_spl
| j(e23) = e12 ),
inference(forward_demodulation,[status(thm)],[f57,f4718]) ).
fof(f4720,plain,
( ~ sQ49_spl
| ~ sQ16_spl
| sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4719,f310]) ).
fof(f4721,plain,
( ~ sQ49_spl
| ~ sQ16_spl
| sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f4720]) ).
fof(f4762,plain,
( ~ sQ33_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f4430,f225,f279]) ).
fof(f4764,plain,
( ~ sQ33_spl
| ~ sQ49_spl
| j(e20) = op1(e13,e14) ),
inference(forward_demodulation,[status(thm)],[f4717,f4435]) ).
fof(f4775,plain,
( ~ sQ33_spl
| ~ sQ49_spl
| j(e20) = e11 ),
inference(forward_demodulation,[status(thm)],[f72,f4764]) ).
fof(f4776,plain,
( ~ sQ33_spl
| ~ sQ49_spl
| j(e22) = op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f4775,f4415]) ).
fof(f4777,plain,
( ~ sQ33_spl
| ~ sQ49_spl
| j(e22) = e14 ),
inference(forward_demodulation,[status(thm)],[f69,f4776]) ).
fof(f4778,plain,
( ~ sQ33_spl
| ~ sQ49_spl
| sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4777,f300]) ).
fof(f4779,plain,
( ~ sQ33_spl
| ~ sQ49_spl
| sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f4778]) ).
fof(f4827,plain,
( ~ sQ7_spl
| ~ sQ49_spl
| j(e23) = op1(e11,e14) ),
inference(forward_demodulation,[status(thm)],[f4717,f1781]) ).
fof(f4828,plain,
( ~ sQ7_spl
| ~ sQ49_spl
| j(e23) = e10 ),
inference(forward_demodulation,[status(thm)],[f62,f4827]) ).
fof(f4829,plain,
( ~ sQ7_spl
| ~ sQ49_spl
| sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4828,f304]) ).
fof(f4830,plain,
( ~ sQ7_spl
| ~ sQ49_spl
| sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f4829]) ).
fof(f4849,plain,
( ~ sQ16_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f1105,f279,f225]) ).
fof(f4886,plain,
( ~ sQ41_spl
| ~ sQ29_spl
| j(e24) = e10 ),
inference(forward_demodulation,[status(thm)],[f62,f2901]) ).
fof(f4887,plain,
( ~ sQ41_spl
| ~ sQ29_spl
| e11 = op1(e10,e14) ),
inference(forward_demodulation,[status(thm)],[f4886,f2902]) ).
fof(f4888,plain,
( ~ sQ41_spl
| ~ sQ29_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f57,f4887]) ).
fof(f4889,plain,
( ~ sQ41_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4888,f12]) ).
fof(f4890,plain,
( ~ sQ41_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f4889]) ).
fof(f4894,plain,
( ~ sQ34_spl
| h(e12) = op2(h(e10),e21) ),
inference(backward_demodulation,[status(thm)],[f428,f338]) ).
fof(f4911,plain,
( ~ sQ34_spl
| h(e14) = e21 ),
inference(backward_demodulation,[status(thm)],[f283,f165]) ).
fof(f4924,plain,
( ~ sQ4_spl
| h(e10) = e24 ),
inference(backward_demodulation,[status(thm)],[f496,f168]) ).
fof(f4926,plain,
( ~ sQ4_spl
| e10 = op1(j(e23),j(e20)) ),
inference(backward_demodulation,[status(thm)],[f496,f374]) ).
fof(f4987,plain,
( ~ sQ7_spl
| ~ sQ34_spl
| h(e10) = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f428,f2239]) ).
fof(f4996,plain,
( ~ sQ7_spl
| ~ sQ34_spl
| h(e10) = e24 ),
inference(forward_demodulation,[status(thm)],[f89,f4987]) ).
fof(f4997,plain,
( ~ sQ7_spl
| ~ sQ34_spl
| e21 = op2(e22,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f428,f2238]) ).
fof(f4998,plain,
( ~ sQ7_spl
| ~ sQ34_spl
| e21 = op2(e22,e24) ),
inference(forward_demodulation,[status(thm)],[f4996,f4997]) ).
fof(f4999,plain,
( ~ sQ7_spl
| ~ sQ34_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f92,f4998]) ).
fof(f5000,plain,
( ~ sQ7_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4999,f23]) ).
fof(f5001,plain,
( ~ sQ7_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f5000]) ).
fof(f5005,plain,
( ~ sQ34_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f4911,f241,f282]) ).
fof(f5027,plain,
( ~ sQ46_spl
| ~ sQ34_spl
| j(e20) = op1(e14,e11) ),
inference(forward_demodulation,[status(thm)],[f283,f2752]) ).
fof(f5036,plain,
( ~ sQ46_spl
| ~ sQ34_spl
| j(e20) = e12 ),
inference(forward_demodulation,[status(thm)],[f74,f5027]) ).
fof(f5037,plain,
( ~ sQ46_spl
| ~ sQ34_spl
| e14 = op1(j(e20),e11) ),
inference(forward_demodulation,[status(thm)],[f283,f2751]) ).
fof(f5038,plain,
( ~ sQ46_spl
| ~ sQ34_spl
| e14 = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f5036,f5037]) ).
fof(f5039,plain,
( ~ sQ46_spl
| ~ sQ34_spl
| e14 = e10 ),
inference(forward_demodulation,[status(thm)],[f64,f5038]) ).
fof(f5040,plain,
( ~ sQ46_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5039,f11]) ).
fof(f5041,plain,
( ~ sQ46_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f5040]) ).
fof(f5058,plain,
( ~ sQ9_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f2763,f321,f202]) ).
fof(f5070,plain,
( ~ sQ9_spl
| e11 = j(e24) ),
inference(forward_demodulation,[status(thm)],[f374,f3214]) ).
fof(f5113,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| j(e21) = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f5070,f3714]) ).
fof(f5118,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| j(e21) = e10 ),
inference(forward_demodulation,[status(thm)],[f64,f5113]) ).
fof(f5126,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| e12 = op1(e10,j(e24)) ),
inference(forward_demodulation,[status(thm)],[f5118,f3699]) ).
fof(f5127,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| e12 = op1(e10,e11) ),
inference(forward_demodulation,[status(thm)],[f5070,f5126]) ).
fof(f5128,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f54,f5127]) ).
fof(f5129,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5128,f15]) ).
fof(f5130,plain,
( ~ sQ10_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f5129]) ).
fof(f5154,plain,
( ~ sQ42_spl
| ~ sQ9_spl
| j(e21) = op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f5070,f1181]) ).
fof(f5158,plain,
( ~ sQ42_spl
| ~ sQ9_spl
| j(e21) = e13 ),
inference(forward_demodulation,[status(thm)],[f60,f5154]) ).
fof(f5159,plain,
( ~ sQ42_spl
| ~ sQ9_spl
| j(e22) = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f5070,f1313]) ).
fof(f5166,plain,
( ~ sQ42_spl
| ~ sQ9_spl
| j(e22) = e10 ),
inference(forward_demodulation,[status(thm)],[f64,f5159]) ).
fof(f5167,plain,
( ~ sQ42_spl
| ~ sQ9_spl
| e13 = op1(e12,j(e22)) ),
inference(forward_demodulation,[status(thm)],[f5158,f2571]) ).
fof(f5168,plain,
( ~ sQ42_spl
| ~ sQ9_spl
| e13 = op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f5166,f5167]) ).
fof(f5169,plain,
( ~ sQ42_spl
| ~ sQ9_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f63,f5168]) ).
fof(f5170,plain,
( ~ sQ42_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5169,f13]) ).
fof(f5171,plain,
( ~ sQ42_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f5170]) ).
fof(f5173,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| h(e13) = op2(e24,e23) ),
inference(forward_demodulation,[status(thm)],[f3208,f1499]) ).
fof(f5174,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| h(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f101,f5173]) ).
fof(f5175,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5174,f227]) ).
fof(f5176,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f5175]) ).
fof(f5195,plain,
( ~ sQ49_spl
| ~ sQ13_spl
| j(e21) = op1(e14,e12) ),
inference(forward_demodulation,[status(thm)],[f1498,f386]) ).
fof(f5197,plain,
( ~ sQ49_spl
| ~ sQ13_spl
| j(e21) = e11 ),
inference(forward_demodulation,[status(thm)],[f75,f5195]) ).
fof(f5202,plain,
( ~ sQ49_spl
| ~ sQ13_spl
| e14 = op1(e11,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f5197,f395]) ).
fof(f5203,plain,
( ~ sQ49_spl
| ~ sQ13_spl
| e14 = op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f1498,f5202]) ).
fof(f5204,plain,
( ~ sQ49_spl
| ~ sQ13_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f60,f5203]) ).
fof(f5205,plain,
( ~ sQ49_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5204,f17]) ).
fof(f5206,plain,
( ~ sQ49_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f5205]) ).
fof(f5224,plain,
( ~ sQ4_spl
| j(e24) = e10 ),
inference(backward_demodulation,[status(thm)],[f4924,f169]) ).
fof(f5243,plain,
( ~ sQ4_spl
| e10 = j(e24) ),
inference(forward_demodulation,[status(thm)],[f374,f4926]) ).
fof(f5263,plain,
( ~ sQ31_spl
| ~ sQ4_spl
| j(e22) = op1(e10,e11) ),
inference(forward_demodulation,[status(thm)],[f5243,f4615]) ).
fof(f5276,plain,
( ~ sQ31_spl
| ~ sQ4_spl
| j(e22) = e13 ),
inference(forward_demodulation,[status(thm)],[f54,f5263]) ).
fof(f5291,plain,
( ~ sQ31_spl
| ~ sQ4_spl
| j(e20) = op1(e11,e10) ),
inference(forward_demodulation,[status(thm)],[f5243,f4623]) ).
fof(f5299,plain,
( ~ sQ31_spl
| ~ sQ4_spl
| j(e20) = e14 ),
inference(forward_demodulation,[status(thm)],[f58,f5291]) ).
fof(f5300,plain,
( ~ sQ31_spl
| ~ sQ4_spl
| e13 = op1(e11,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f5276,f4624]) ).
fof(f5301,plain,
( ~ sQ31_spl
| ~ sQ4_spl
| e13 = op1(e11,e14) ),
inference(forward_demodulation,[status(thm)],[f5299,f5300]) ).
fof(f5302,plain,
( ~ sQ31_spl
| ~ sQ4_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f62,f5301]) ).
fof(f5303,plain,
( ~ sQ31_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5302,f10]) ).
fof(f5304,plain,
( ~ sQ31_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f5303]) ).
fof(f5308,plain,
( ~ sQ4_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f5224,f318,f186]) ).
fof(f5330,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| h(e13) = op2(e24,e20) ),
inference(forward_demodulation,[status(thm)],[f4924,f4522]) ).
fof(f5342,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| h(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f98,f5330]) ).
fof(f5345,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| h(e12) = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f5342,f4524]) ).
fof(f5346,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| h(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f81,f5345]) ).
fof(f5347,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5346,f214]) ).
fof(f5348,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f5347]) ).
fof(f5358,plain,
( ~ sQ34_spl
| ~ sQ4_spl
| h(e12) = op2(e24,e21) ),
inference(forward_demodulation,[status(thm)],[f4924,f4894]) ).
fof(f5359,plain,
( ~ sQ34_spl
| ~ sQ4_spl
| h(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f99,f5358]) ).
fof(f5360,plain,
( ~ sQ34_spl
| ~ sQ4_spl
| sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5359,f214]) ).
fof(f5361,plain,
( ~ sQ34_spl
| ~ sQ4_spl
| sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f5360]) ).
fof(f5404,plain,
( ~ sQ2_spl
| ~ sQ34_spl
| h(e13) = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f428,f2825]) ).
fof(f5417,plain,
( ~ sQ2_spl
| ~ sQ34_spl
| h(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f85,f5404]) ).
fof(f5422,plain,
( ~ sQ2_spl
| ~ sQ34_spl
| h(e11) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f5417,f1708]) ).
fof(f5430,plain,
( ~ sQ2_spl
| ~ sQ34_spl
| h(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f91,f5422]) ).
fof(f5432,plain,
( ~ sQ2_spl
| ~ sQ34_spl
| e23 = op2(e22,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f5417,f866]) ).
fof(f5433,plain,
( ~ sQ2_spl
| ~ sQ34_spl
| e23 = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f5430,f5432]) ).
fof(f5434,plain,
( ~ sQ2_spl
| ~ sQ34_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f88,f5433]) ).
fof(f5435,plain,
( ~ sQ2_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5434,f23]) ).
fof(f5436,plain,
( ~ sQ2_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f5435]) ).
fof(f5486,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| h(e13) = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f4502,f2335]) ).
fof(f5492,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| h(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f88,f5486]) ).
fof(f5493,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| e20 = op2(e22,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f4502,f2336]) ).
fof(f5494,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| e20 = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f5492,f5493]) ).
fof(f5495,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| e20 = e24 ),
inference(forward_demodulation,[status(thm)],[f89,f5494]) ).
fof(f5496,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5495,f21]) ).
fof(f5497,plain,
( ~ sQ7_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f5496]) ).
fof(f5569,plain,
( ~ sQ22_spl
| ~ sQ10_spl
| j(e24) = op1(e12,e14) ),
inference(forward_demodulation,[status(thm)],[f1068,f1834]) ).
fof(f5570,plain,
( ~ sQ22_spl
| ~ sQ10_spl
| j(e24) = e13 ),
inference(forward_demodulation,[status(thm)],[f67,f5569]) ).
fof(f5571,plain,
( ~ sQ22_spl
| ~ sQ10_spl
| sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5570,f329]) ).
fof(f5572,plain,
( ~ sQ22_spl
| ~ sQ10_spl
| sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f5571]) ).
fof(f5620,plain,
( ~ sQ31_spl
| ~ sQ10_spl
| h(e13) = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f4502,f4637]) ).
fof(f5626,plain,
( ~ sQ31_spl
| ~ sQ10_spl
| h(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f83,f5620]) ).
fof(f5627,plain,
( ~ sQ31_spl
| ~ sQ10_spl
| e20 = op2(e21,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f4502,f4638]) ).
fof(f5628,plain,
( ~ sQ31_spl
| ~ sQ10_spl
| e20 = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f5626,f5627]) ).
fof(f5629,plain,
( ~ sQ31_spl
| ~ sQ10_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f85,f5628]) ).
fof(f5630,plain,
( ~ sQ31_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5629,f20]) ).
fof(f5631,plain,
( ~ sQ31_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f5630]) ).
fof(f5681,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| h(e13) = op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f2960,f3160]) ).
fof(f5682,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| h(e13) = e24 ),
inference(forward_demodulation,[status(thm)],[f80,f5681]) ).
fof(f5683,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5682,f236]) ).
fof(f5684,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f5683]) ).
fof(f5763,plain,
( ~ sQ30_spl
| ~ sQ43_spl
| j(e20) = op1(e13,e10) ),
inference(forward_demodulation,[status(thm)],[f312,f3563]) ).
fof(f5764,plain,
( ~ sQ30_spl
| ~ sQ43_spl
| j(e20) = e12 ),
inference(forward_demodulation,[status(thm)],[f68,f5763]) ).
fof(f5765,plain,
( ~ sQ30_spl
| ~ sQ43_spl
| sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5764,f262]) ).
fof(f5766,plain,
( ~ sQ30_spl
| ~ sQ43_spl
| sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f5765]) ).
fof(f5886,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| j(e22) = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f4532,f2789]) ).
fof(f5895,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| j(e22) = e10 ),
inference(forward_demodulation,[status(thm)],[f64,f5886]) ).
fof(f5896,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| e12 = op1(e10,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f5895,f2790]) ).
fof(f5897,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| e12 = op1(e10,e11) ),
inference(forward_demodulation,[status(thm)],[f4532,f5896]) ).
fof(f5898,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f54,f5897]) ).
fof(f5899,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5898,f15]) ).
fof(f5900,plain,
( ~ sQ32_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f5899]) ).
fof(f5901,plain,
$false,
inference(sat_refutation,[status(thm)],[f189,f205,f221,f237,f253,f269,f285,f301,f317,f333,f400,f403,f427,f432,f435,f440,f443,f460,f463,f477,f484,f487,f495,f543,f666,f686,f689,f693,f699,f702,f714,f757,f760,f814,f845,f915,f1033,f1081,f1094,f1163,f1164,f1190,f1219,f1235,f1267,f1361,f1426,f1435,f1461,f1483,f1484,f1506,f1519,f1527,f1539,f1563,f1564,f1576,f1623,f1666,f1705,f1716,f1736,f1767,f1791,f1808,f1875,f1876,f2023,f2068,f2145,f2209,f2222,f2310,f2318,f2358,f2380,f2439,f2497,f2562,f2651,f2735,f2809,f2876,f2951,f2991,f3013,f3108,f3167,f3198,f3289,f3339,f3344,f3374,f3375,f3382,f3431,f3466,f3499,f3557,f3787,f3800,f3870,f3879,f3899,f3902,f3941,f4035,f4082,f4140,f4304,f4405,f4491,f4519,f4609,f4678,f4694,f4721,f4762,f4779,f4830,f4849,f4890,f5001,f5005,f5041,f5058,f5130,f5171,f5176,f5206,f5304,f5308,f5348,f5361,f5436,f5497,f5572,f5631,f5684,f5766,f5900]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG185+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 13:02:59 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.12/0.46 % Refutation found
% 0.12/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.50 % Elapsed time: 0.120105 seconds
% 0.12/0.50 % CPU time: 0.705169 seconds
% 0.12/0.50 % Total memory used: 124.725 MB
% 0.12/0.50 % Net memory used: 124.372 MB
%------------------------------------------------------------------------------