TSTP Solution File: ALG185+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG185+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:10:39 EDT 2024
% Result : Theorem 1.87s 0.60s
% Output : CNFRefutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 55
% Syntax : Number of formulae : 1175 ( 179 unt; 0 def)
% Number of atoms : 3141 (1350 equ)
% Maximal formula atoms : 110 ( 2 avg)
% Number of connectives : 3499 (1533 ~;1643 |; 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,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e13
& op1(e10,e12) = e14
& op1(e10,e13) = e11
& op1(e10,e14) = e12
& op1(e11,e10) = e14
& op1(e11,e11) = e11
& op1(e11,e12) = e13
& op1(e11,e13) = e12
& op1(e11,e14) = e10
& op1(e12,e10) = e11
& op1(e12,e11) = e10
& op1(e12,e12) = e12
& op1(e12,e13) = e14
& op1(e12,e14) = e13
& op1(e13,e10) = e12
& op1(e13,e11) = e14
& op1(e13,e12) = e10
& op1(e13,e13) = e13
& op1(e13,e14) = e11
& op1(e14,e10) = e13
& op1(e14,e11) = e12
& op1(e14,e12) = e11
& op1(e14,e13) = e10
& op1(e14,e14) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e23
& op2(e20,e22) = e24
& op2(e20,e23) = e22
& op2(e20,e24) = e21
& op2(e21,e20) = e22
& op2(e21,e21) = e21
& op2(e21,e22) = e23
& op2(e21,e23) = e24
& op2(e21,e24) = e20
& op2(e22,e20) = e21
& op2(e22,e21) = e24
& op2(e22,e22) = e22
& op2(e22,e23) = e20
& op2(e22,e24) = e23
& op2(e23,e20) = e24
& op2(e23,e21) = e20
& op2(e23,e22) = e21
& op2(e23,e23) = e23
& op2(e23,e24) = e22
& op2(e24,e20) = e23
& op2(e24,e21) = e22
& op2(e24,e22) = e20
& op2(e24,e23) = e21
& op2(e24,e24) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
e10 != e11,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
e10 != e12,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
e10 != e13,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f11,plain,
e10 != e14,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f12,plain,
e11 != e12,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f13,plain,
e11 != e13,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f14,plain,
e11 != e14,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f15,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
e12 != e14,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f17,plain,
e13 != e14,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f18,plain,
e20 != e21,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f19,plain,
e20 != e22,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f20,plain,
e20 != e23,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f21,plain,
e20 != e24,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f22,plain,
e21 != e22,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f23,plain,
e21 != e23,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f24,plain,
e21 != e24,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f25,plain,
e22 != e23,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f26,plain,
e22 != e24,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f27,plain,
e23 != e24,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f53,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f54,plain,
op1(e10,e11) = e13,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f55,plain,
op1(e10,e12) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f56,plain,
op1(e10,e13) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f57,plain,
op1(e10,e14) = e12,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f58,plain,
op1(e11,e10) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f59,plain,
op1(e11,e11) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f60,plain,
op1(e11,e12) = e13,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f61,plain,
op1(e11,e13) = e12,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f62,plain,
op1(e11,e14) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f63,plain,
op1(e12,e10) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f64,plain,
op1(e12,e11) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e12,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f66,plain,
op1(e12,e13) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f67,plain,
op1(e12,e14) = e13,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f68,plain,
op1(e13,e10) = e12,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f69,plain,
op1(e13,e11) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f70,plain,
op1(e13,e12) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f71,plain,
op1(e13,e13) = e13,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f72,plain,
op1(e13,e14) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f73,plain,
op1(e14,e10) = e13,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f74,plain,
op1(e14,e11) = e12,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f75,plain,
op1(e14,e12) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f76,plain,
op1(e14,e13) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f77,plain,
op1(e14,e14) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f78,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f79,plain,
op2(e20,e21) = e23,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f80,plain,
op2(e20,e22) = e24,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f81,plain,
op2(e20,e23) = e22,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f82,plain,
op2(e20,e24) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f83,plain,
op2(e21,e20) = e22,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f84,plain,
op2(e21,e21) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f85,plain,
op2(e21,e22) = e23,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f86,plain,
op2(e21,e23) = e24,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f87,plain,
op2(e21,e24) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f88,plain,
op2(e22,e20) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f89,plain,
op2(e22,e21) = e24,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f90,plain,
op2(e22,e22) = e22,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f91,plain,
op2(e22,e23) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f92,plain,
op2(e22,e24) = e23,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f93,plain,
op2(e23,e20) = e24,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f94,plain,
op2(e23,e21) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f95,plain,
op2(e23,e22) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e23,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f97,plain,
op2(e23,e24) = e22,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f98,plain,
op2(e24,e20) = e23,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f99,plain,
op2(e24,e21) = e22,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f100,plain,
op2(e24,e22) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f101,plain,
op2(e24,e23) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f102,plain,
op2(e24,e24) = e24,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f103,plain,
( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 )
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f104,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f105,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f106,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f107,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f108,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f109,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f110,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f111,plain,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f112,plain,
( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f113,plain,
( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f114,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f115,plain,
h(op1(e10,e11)) = op2(h(e10),h(e11)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f116,plain,
h(op1(e10,e12)) = op2(h(e10),h(e12)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f117,plain,
h(op1(e10,e13)) = op2(h(e10),h(e13)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f118,plain,
h(op1(e10,e14)) = op2(h(e10),h(e14)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f119,plain,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f120,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f121,plain,
h(op1(e11,e12)) = op2(h(e11),h(e12)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f122,plain,
h(op1(e11,e13)) = op2(h(e11),h(e13)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f123,plain,
h(op1(e11,e14)) = op2(h(e11),h(e14)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f124,plain,
h(op1(e12,e10)) = op2(h(e12),h(e10)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f125,plain,
h(op1(e12,e11)) = op2(h(e12),h(e11)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f126,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f127,plain,
h(op1(e12,e13)) = op2(h(e12),h(e13)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f128,plain,
h(op1(e12,e14)) = op2(h(e12),h(e14)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f129,plain,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f130,plain,
h(op1(e13,e11)) = op2(h(e13),h(e11)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f131,plain,
h(op1(e13,e12)) = op2(h(e13),h(e12)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f132,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f133,plain,
h(op1(e13,e14)) = op2(h(e13),h(e14)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f134,plain,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f136,plain,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f137,plain,
h(op1(e14,e13)) = op2(h(e14),h(e13)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f138,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f139,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f140,plain,
j(op2(e20,e21)) = op1(j(e20),j(e21)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f141,plain,
j(op2(e20,e22)) = op1(j(e20),j(e22)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f142,plain,
j(op2(e20,e23)) = op1(j(e20),j(e23)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f143,plain,
j(op2(e20,e24)) = op1(j(e20),j(e24)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f144,plain,
j(op2(e21,e20)) = op1(j(e21),j(e20)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f145,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f146,plain,
j(op2(e21,e22)) = op1(j(e21),j(e22)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f147,plain,
j(op2(e21,e23)) = op1(j(e21),j(e23)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f148,plain,
j(op2(e21,e24)) = op1(j(e21),j(e24)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f149,plain,
j(op2(e22,e20)) = op1(j(e22),j(e20)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f150,plain,
j(op2(e22,e21)) = op1(j(e22),j(e21)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f151,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f152,plain,
j(op2(e22,e23)) = op1(j(e22),j(e23)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f153,plain,
j(op2(e22,e24)) = op1(j(e22),j(e24)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f154,plain,
j(op2(e23,e20)) = op1(j(e23),j(e20)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f155,plain,
j(op2(e23,e21)) = op1(j(e23),j(e21)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f156,plain,
j(op2(e23,e22)) = op1(j(e23),j(e22)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f157,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f158,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f159,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f160,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f161,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f162,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f163,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f164,plain,
h(j(e20)) = e20,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f165,plain,
h(j(e21)) = e21,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f166,plain,
h(j(e22)) = e22,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f167,plain,
h(j(e23)) = e23,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f168,plain,
h(j(e24)) = e24,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f169,plain,
j(h(e10)) = e10,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f170,plain,
j(h(e11)) = e11,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f171,plain,
j(h(e12)) = e12,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f172,plain,
j(h(e13)) = e13,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f173,plain,
j(h(e14)) = e14,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f174,plain,
( spl0_0
<=> h(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f175,plain,
( h(e10) = e20
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( spl0_1
<=> h(e10) = e21 ),
introduced(split_symbol_definition) ).
fof(f178,plain,
( h(e10) = e21
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( spl0_2
<=> h(e10) = e22 ),
introduced(split_symbol_definition) ).
fof(f181,plain,
( h(e10) = e22
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( spl0_3
<=> h(e10) = e23 ),
introduced(split_symbol_definition) ).
fof(f184,plain,
( h(e10) = e23
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f185,plain,
( h(e10) != e23
| spl0_3 ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,plain,
( spl0_4
<=> h(e10) = e24 ),
introduced(split_symbol_definition) ).
fof(f187,plain,
( h(e10) = e24
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f188,plain,
( h(e10) != e24
| spl0_4 ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(split_clause,[status(thm)],[f104,f174,f177,f180,f183,f186]) ).
fof(f190,plain,
( spl0_5
<=> h(e11) = e20 ),
introduced(split_symbol_definition) ).
fof(f191,plain,
( h(e11) = e20
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f192,plain,
( h(e11) != e20
| spl0_5 ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,plain,
( spl0_6
<=> h(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f194,plain,
( h(e11) = e21
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,plain,
( spl0_7
<=> h(e11) = e22 ),
introduced(split_symbol_definition) ).
fof(f197,plain,
( h(e11) = e22
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( spl0_8
<=> h(e11) = e23 ),
introduced(split_symbol_definition) ).
fof(f200,plain,
( h(e11) = e23
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( spl0_9
<=> h(e11) = e24 ),
introduced(split_symbol_definition) ).
fof(f203,plain,
( h(e11) = e24
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8
| spl0_9 ),
inference(split_clause,[status(thm)],[f105,f190,f193,f196,f199,f202]) ).
fof(f206,plain,
( spl0_10
<=> h(e12) = e20 ),
introduced(split_symbol_definition) ).
fof(f207,plain,
( h(e12) = e20
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f208,plain,
( h(e12) != e20
| spl0_10 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( spl0_11
<=> h(e12) = e21 ),
introduced(split_symbol_definition) ).
fof(f210,plain,
( h(e12) = e21
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f211,plain,
( h(e12) != e21
| spl0_11 ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( spl0_12
<=> h(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f213,plain,
( h(e12) = e22
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( spl0_13
<=> h(e12) = e23 ),
introduced(split_symbol_definition) ).
fof(f216,plain,
( h(e12) = e23
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( spl0_14
<=> h(e12) = e24 ),
introduced(split_symbol_definition) ).
fof(f219,plain,
( h(e12) = e24
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( spl0_10
| spl0_11
| spl0_12
| spl0_13
| spl0_14 ),
inference(split_clause,[status(thm)],[f106,f206,f209,f212,f215,f218]) ).
fof(f222,plain,
( spl0_15
<=> h(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f223,plain,
( h(e13) = e20
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f224,plain,
( h(e13) != e20
| spl0_15 ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,plain,
( spl0_16
<=> h(e13) = e21 ),
introduced(split_symbol_definition) ).
fof(f226,plain,
( h(e13) = e21
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,plain,
( spl0_17
<=> h(e13) = e22 ),
introduced(split_symbol_definition) ).
fof(f229,plain,
( h(e13) = e22
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f230,plain,
( h(e13) != e22
| spl0_17 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( spl0_18
<=> h(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f232,plain,
( h(e13) = e23
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f233,plain,
( h(e13) != e23
| spl0_18 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,plain,
( spl0_19
<=> h(e13) = e24 ),
introduced(split_symbol_definition) ).
fof(f235,plain,
( h(e13) = e24
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( spl0_15
| spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f107,f222,f225,f228,f231,f234]) ).
fof(f238,plain,
( spl0_20
<=> h(e14) = e20 ),
introduced(split_symbol_definition) ).
fof(f239,plain,
( h(e14) = e20
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f240,plain,
( h(e14) != e20
| spl0_20 ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,plain,
( spl0_21
<=> h(e14) = e21 ),
introduced(split_symbol_definition) ).
fof(f242,plain,
( h(e14) = e21
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( spl0_22
<=> h(e14) = e22 ),
introduced(split_symbol_definition) ).
fof(f245,plain,
( h(e14) = e22
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f246,plain,
( h(e14) != e22
| spl0_22 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( spl0_23
<=> h(e14) = e23 ),
introduced(split_symbol_definition) ).
fof(f248,plain,
( h(e14) = e23
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f249,plain,
( h(e14) != e23
| spl0_23 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( spl0_24
<=> h(e14) = e24 ),
introduced(split_symbol_definition) ).
fof(f251,plain,
( h(e14) = e24
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23
| spl0_24 ),
inference(split_clause,[status(thm)],[f108,f238,f241,f244,f247,f250]) ).
fof(f254,plain,
( spl0_25
<=> j(e20) = e10 ),
introduced(split_symbol_definition) ).
fof(f255,plain,
( j(e20) = e10
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( spl0_26
<=> j(e20) = e11 ),
introduced(split_symbol_definition) ).
fof(f258,plain,
( j(e20) = e11
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f259,plain,
( j(e20) != e11
| spl0_26 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,plain,
( spl0_27
<=> j(e20) = e12 ),
introduced(split_symbol_definition) ).
fof(f261,plain,
( j(e20) = e12
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( spl0_28
<=> j(e20) = e13 ),
introduced(split_symbol_definition) ).
fof(f264,plain,
( j(e20) = e13
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( spl0_29
<=> j(e20) = e14 ),
introduced(split_symbol_definition) ).
fof(f267,plain,
( j(e20) = e14
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f268,plain,
( j(e20) != e14
| spl0_29 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( spl0_25
| spl0_26
| spl0_27
| spl0_28
| spl0_29 ),
inference(split_clause,[status(thm)],[f109,f254,f257,f260,f263,f266]) ).
fof(f270,plain,
( spl0_30
<=> j(e21) = e10 ),
introduced(split_symbol_definition) ).
fof(f271,plain,
( j(e21) = e10
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,plain,
( spl0_31
<=> j(e21) = e11 ),
introduced(split_symbol_definition) ).
fof(f274,plain,
( j(e21) = e11
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,plain,
( spl0_32
<=> j(e21) = e12 ),
introduced(split_symbol_definition) ).
fof(f277,plain,
( j(e21) = e12
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( spl0_33
<=> j(e21) = e13 ),
introduced(split_symbol_definition) ).
fof(f280,plain,
( j(e21) = e13
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f281,plain,
( j(e21) != e13
| spl0_33 ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,plain,
( spl0_34
<=> j(e21) = e14 ),
introduced(split_symbol_definition) ).
fof(f283,plain,
( j(e21) = e14
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f284,plain,
( j(e21) != e14
| spl0_34 ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,plain,
( spl0_30
| spl0_31
| spl0_32
| spl0_33
| spl0_34 ),
inference(split_clause,[status(thm)],[f110,f270,f273,f276,f279,f282]) ).
fof(f286,plain,
( spl0_35
<=> j(e22) = e10 ),
introduced(split_symbol_definition) ).
fof(f287,plain,
( j(e22) = e10
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f288,plain,
( j(e22) != e10
| spl0_35 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( spl0_36
<=> j(e22) = e11 ),
introduced(split_symbol_definition) ).
fof(f290,plain,
( j(e22) = e11
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,plain,
( spl0_37
<=> j(e22) = e12 ),
introduced(split_symbol_definition) ).
fof(f293,plain,
( j(e22) = e12
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( spl0_38
<=> j(e22) = e13 ),
introduced(split_symbol_definition) ).
fof(f296,plain,
( j(e22) = e13
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,plain,
( spl0_39
<=> j(e22) = e14 ),
introduced(split_symbol_definition) ).
fof(f299,plain,
( j(e22) = e14
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,plain,
( spl0_35
| spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f111,f286,f289,f292,f295,f298]) ).
fof(f302,plain,
( spl0_40
<=> j(e23) = e10 ),
introduced(split_symbol_definition) ).
fof(f303,plain,
( j(e23) = e10
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( j(e23) != e10
| spl0_40 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( spl0_41
<=> j(e23) = e11 ),
introduced(split_symbol_definition) ).
fof(f306,plain,
( j(e23) = e11
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,plain,
( spl0_42
<=> j(e23) = e12 ),
introduced(split_symbol_definition) ).
fof(f309,plain,
( j(e23) = e12
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( spl0_43
<=> j(e23) = e13 ),
introduced(split_symbol_definition) ).
fof(f312,plain,
( j(e23) = e13
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,plain,
( spl0_44
<=> j(e23) = e14 ),
introduced(split_symbol_definition) ).
fof(f315,plain,
( j(e23) = e14
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f316,plain,
( j(e23) != e14
| spl0_44 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43
| spl0_44 ),
inference(split_clause,[status(thm)],[f112,f302,f305,f308,f311,f314]) ).
fof(f318,plain,
( spl0_45
<=> j(e24) = e10 ),
introduced(split_symbol_definition) ).
fof(f319,plain,
( j(e24) = e10
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,plain,
( spl0_46
<=> j(e24) = e11 ),
introduced(split_symbol_definition) ).
fof(f322,plain,
( j(e24) = e11
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f323,plain,
( j(e24) != e11
| spl0_46 ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,plain,
( spl0_47
<=> j(e24) = e12 ),
introduced(split_symbol_definition) ).
fof(f325,plain,
( j(e24) = e12
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f326,plain,
( j(e24) != e12
| spl0_47 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( spl0_48
<=> j(e24) = e13 ),
introduced(split_symbol_definition) ).
fof(f328,plain,
( j(e24) = e13
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,plain,
( spl0_49
<=> j(e24) = e14 ),
introduced(split_symbol_definition) ).
fof(f331,plain,
( j(e24) = e14
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( spl0_45
| spl0_46
| spl0_47
| spl0_48
| spl0_49 ),
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(f348,plain,
h(e13) = op2(h(e12),h(e14)),
inference(forward_demodulation,[status(thm)],[f67,f128]) ).
fof(f349,plain,
h(e12) = op2(h(e13),h(e10)),
inference(forward_demodulation,[status(thm)],[f68,f129]) ).
fof(f350,plain,
h(e14) = op2(h(e13),h(e11)),
inference(forward_demodulation,[status(thm)],[f69,f130]) ).
fof(f351,plain,
h(e10) = op2(h(e13),h(e12)),
inference(forward_demodulation,[status(thm)],[f70,f131]) ).
fof(f352,plain,
h(e13) = op2(h(e13),h(e13)),
inference(forward_demodulation,[status(thm)],[f71,f132]) ).
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(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(f358,plain,
h(e14) = op2(h(e14),h(e14)),
inference(forward_demodulation,[status(thm)],[f77,f138]) ).
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,
( e14 = e13
| ~ spl0_49
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f331,f328]) ).
fof(f385,plain,
( $false
| ~ spl0_49
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f384,f17]) ).
fof(f386,plain,
( ~ spl0_49
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f385]) ).
fof(f387,plain,
( e12 = e11
| ~ spl0_47
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f325,f322]) ).
fof(f388,plain,
( $false
| ~ spl0_47
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f387,f12]) ).
fof(f389,plain,
( ~ spl0_47
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f388]) ).
fof(f390,plain,
( e14 = e13
| ~ spl0_44
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f315,f312]) ).
fof(f391,plain,
( $false
| ~ spl0_44
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f390,f17]) ).
fof(f392,plain,
( ~ spl0_44
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f391]) ).
fof(f393,plain,
( e12 = e11
| ~ spl0_42
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f309,f306]) ).
fof(f394,plain,
( $false
| ~ spl0_42
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f393,f12]) ).
fof(f395,plain,
( ~ spl0_42
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f394]) ).
fof(f402,plain,
( e14 = e13
| ~ spl0_34
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f283,f280]) ).
fof(f403,plain,
( $false
| ~ spl0_34
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f402,f17]) ).
fof(f404,plain,
( ~ spl0_34
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f403]) ).
fof(f405,plain,
( e12 = e11
| ~ spl0_32
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f277,f274]) ).
fof(f406,plain,
( $false
| ~ spl0_32
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f405,f12]) ).
fof(f407,plain,
( ~ spl0_32
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f406]) ).
fof(f411,plain,
( e12 = e11
| ~ spl0_27
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f261,f258]) ).
fof(f412,plain,
( $false
| ~ spl0_27
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f411,f12]) ).
fof(f413,plain,
( ~ spl0_27
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f412]) ).
fof(f417,plain,
( e22 = e21
| ~ spl0_22
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f245,f242]) ).
fof(f418,plain,
( $false
| ~ spl0_22
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f417,f22]) ).
fof(f419,plain,
( ~ spl0_22
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f418]) ).
fof(f420,plain,
( e24 = e23
| ~ spl0_19
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f235,f232]) ).
fof(f421,plain,
( $false
| ~ spl0_19
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f420,f27]) ).
fof(f422,plain,
( ~ spl0_19
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f421]) ).
fof(f423,plain,
( e22 = e21
| ~ spl0_17
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f229,f226]) ).
fof(f424,plain,
( $false
| ~ spl0_17
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f423,f22]) ).
fof(f425,plain,
( ~ spl0_17
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f424]) ).
fof(f426,plain,
( e24 = e23
| ~ spl0_14
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f219,f216]) ).
fof(f427,plain,
( $false
| ~ spl0_14
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f426,f27]) ).
fof(f428,plain,
( ~ spl0_14
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f427]) ).
fof(f429,plain,
( e22 = e21
| ~ spl0_12
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f213,f210]) ).
fof(f430,plain,
( $false
| ~ spl0_12
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f429,f22]) ).
fof(f431,plain,
( ~ spl0_12
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f430]) ).
fof(f432,plain,
( e24 = e23
| ~ spl0_9
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f203,f200]) ).
fof(f433,plain,
( $false
| ~ spl0_9
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f432,f27]) ).
fof(f434,plain,
( ~ spl0_9
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f433]) ).
fof(f438,plain,
( h(e10) = e24
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f319,f168]) ).
fof(f438_001,plain,
( h(e10) = e24
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f319,f168]) ).
fof(f454,plain,
( e10 = op1(j(e23),j(e24))
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f287,f378]) ).
fof(f480,plain,
( h(e10) = e23
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f303,f167]) ).
fof(f480_002,plain,
( h(e10) = e23
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f303,f167]) ).
fof(f481,plain,
( e24 = e23
| ~ spl0_4
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f187,f480]) ).
fof(f482,plain,
( $false
| ~ spl0_4
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f481,f27]) ).
fof(f483,plain,
( ~ spl0_4
| ~ spl0_40 ),
inference(contradiction_clause,[status(thm)],[f482]) ).
fof(f490,plain,
( e10 = op1(j(e23),j(e21))
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f255,f375]) ).
fof(f507,plain,
( h(e10) = e22
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f287,f166]) ).
fof(f507_003,plain,
( h(e10) = e22
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f287,f166]) ).
fof(f519,plain,
( h(e10) = e21
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f271,f165]) ).
fof(f519_004,plain,
( h(e10) = e21
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f271,f165]) ).
fof(f520,plain,
( e22 = e21
| ~ spl0_35
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f507,f519]) ).
fof(f521,plain,
( $false
| ~ spl0_35
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f520,f22]) ).
fof(f522,plain,
( ~ spl0_35
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f521]) ).
fof(f528,plain,
( h(e10) = e20
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f255,f164]) ).
fof(f534,plain,
( j(e20) = e14
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f239,f173]) ).
fof(f559,plain,
( e20 = op2(h(e12),h(e14))
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f223,f348]) ).
fof(f579,plain,
( j(e20) = e13
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f223,f172]) ).
fof(f603,plain,
( j(e20) = e12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f207,f171]) ).
fof(f603_005,plain,
( j(e20) = e12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f207,f171]) ).
fof(f604,plain,
( e13 = e12
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f579,f603]) ).
fof(f605,plain,
( $false
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f604,f15]) ).
fof(f606,plain,
( ~ spl0_15
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f605]) ).
fof(f618,plain,
( j(e20) = e11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f191,f170]) ).
fof(f618_006,plain,
( j(e20) = e11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f191,f170]) ).
fof(f630,plain,
( j(e20) = e10
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f175,f169]) ).
fof(f631,plain,
( e11 = e10
| ~ spl0_5
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f618,f630]) ).
fof(f632,plain,
( $false
| ~ spl0_5
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f631,f8]) ).
fof(f633,plain,
( ~ spl0_5
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f632]) ).
fof(f637,plain,
( e20 = e23
| ~ spl0_0
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f175,f480]) ).
fof(f638,plain,
( $false
| ~ spl0_0
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f637,f20]) ).
fof(f639,plain,
( ~ spl0_0
| ~ spl0_40 ),
inference(contradiction_clause,[status(thm)],[f638]) ).
fof(f640,plain,
( e24 = e21
| ~ spl0_45
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f438,f519]) ).
fof(f641,plain,
( $false
| ~ spl0_45
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f640,f24]) ).
fof(f642,plain,
( ~ spl0_45
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f641]) ).
fof(f645,plain,
( spl0_29
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f534,f266,f238]) ).
fof(f659,plain,
( e20 = h(e13)
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f348,f559]) ).
fof(f660,plain,
( e23 = e21
| ~ spl0_3
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f184,f178]) ).
fof(f661,plain,
( $false
| ~ spl0_3
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f660,f23]) ).
fof(f662,plain,
( ~ spl0_3
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f661]) ).
fof(f670,plain,
( j(e24) = e10
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f187,f169]) ).
fof(f671,plain,
( spl0_45
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f670,f318,f186]) ).
fof(f678,plain,
( e24 = e22
| ~ spl0_4
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f187,f507]) ).
fof(f679,plain,
( $false
| ~ spl0_4
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f678,f26]) ).
fof(f680,plain,
( ~ spl0_4
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f679]) ).
fof(f693,plain,
( j(e22) = op1(e11,j(e20))
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f274,f364]) ).
fof(f694,plain,
( j(e20) = op1(e11,j(e21))
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f306,f375]) ).
fof(f695,plain,
( j(e20) = op1(e11,e11)
| ~ spl0_31
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f274,f694]) ).
fof(f696,plain,
( j(e20) = e11
| ~ spl0_31
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f59,f695]) ).
fof(f697,plain,
( $false
| spl0_26
| ~ spl0_31
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f696,f259]) ).
fof(f698,plain,
( spl0_26
| ~ spl0_31
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f697]) ).
fof(f704,plain,
( spl0_4
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f438,f186,f318]) ).
fof(f715,plain,
( e21 = op2(h(e12),h(e13))
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f242,f347]) ).
fof(f717,plain,
( j(e21) = op1(j(e20),e10)
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f319,f363]) ).
fof(f727,plain,
( j(e21) = e14
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f242,f173]) ).
fof(f728,plain,
( spl0_34
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f727,f282,f241]) ).
fof(f738,plain,
( j(e24) = op1(e11,j(e22))
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f258,f361]) ).
fof(f739,plain,
( j(e22) = op1(e12,j(e24))
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f309,f378]) ).
fof(f752,plain,
( j(e22) = e11
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f197,f170]) ).
fof(f752_007,plain,
( j(e22) = e11
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f197,f170]) ).
fof(f753,plain,
( e13 = e11
| ~ spl0_38
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f296,f752]) ).
fof(f754,plain,
( $false
| ~ spl0_38
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f753,f13]) ).
fof(f755,plain,
( ~ spl0_38
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f754]) ).
fof(f761,plain,
( j(e22) = e12
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f213,f171]) ).
fof(f762,plain,
( spl0_37
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f761,f292,f212]) ).
fof(f766,plain,
( j(e23) = op1(e12,j(e22))
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f277,f366]) ).
fof(f778,plain,
( h(e11) = op2(e21,h(e13))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f178,f337]) ).
fof(f779,plain,
( h(e11) = op2(e21,e22)
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f229,f778]) ).
fof(f780,plain,
( h(e11) = e23
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f85,f779]) ).
fof(f783,plain,
( e22 = op2(h(e10),h(e11))
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f229,f335]) ).
fof(f784,plain,
( e22 = op2(e21,h(e11))
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f178,f783]) ).
fof(f785,plain,
( e22 = op2(e21,e23)
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f780,f784]) ).
fof(f786,plain,
( e22 = e24
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f86,f785]) ).
fof(f787,plain,
( $false
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f786,f26]) ).
fof(f788,plain,
( ~ spl0_1
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f787]) ).
fof(f791,plain,
( j(e21) = e11
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f194,f170]) ).
fof(f792,plain,
( spl0_31
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f791,f273,f193]) ).
fof(f793,plain,
( h(e11) = op2(h(e11),e21)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f194,f340]) ).
fof(f804,plain,
( spl0_1
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f519,f177,f270]) ).
fof(f828,plain,
( j(e22) = e14
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f245,f173]) ).
fof(f831,plain,
( h(e11) = op2(e22,h(e12))
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f245,f356]) ).
fof(f832,plain,
( h(e11) = op2(e22,e20)
| ~ spl0_10
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f207,f831]) ).
fof(f833,plain,
( h(e11) = e21
| ~ spl0_10
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f88,f832]) ).
fof(f837,plain,
( h(e10) = op2(e21,h(e14))
| ~ spl0_10
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f833,f343]) ).
fof(f838,plain,
( h(e10) = op2(e21,e22)
| ~ spl0_10
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f245,f837]) ).
fof(f839,plain,
( h(e10) = e23
| ~ spl0_10
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f85,f838]) ).
fof(f840,plain,
( e20 = op2(h(e10),h(e14))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f207,f338]) ).
fof(f841,plain,
( e20 = op2(e23,h(e14))
| ~ spl0_22
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f839,f840]) ).
fof(f842,plain,
( e20 = op2(e23,e22)
| ~ spl0_22
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f245,f841]) ).
fof(f843,plain,
( e20 = e21
| ~ spl0_22
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f95,f842]) ).
fof(f844,plain,
( $false
| ~ spl0_22
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f843,f18]) ).
fof(f845,plain,
( ~ spl0_22
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f844]) ).
fof(f846,plain,
( h(e14) = op2(h(e10),e20)
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f207,f336]) ).
fof(f847,plain,
( h(e10) = op2(h(e13),e20)
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f207,f351]) ).
fof(f850,plain,
( h(e11) = op2(e20,h(e10))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f207,f344]) ).
fof(f867,plain,
( e12 = e10
| ~ spl0_10
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f603,f630]) ).
fof(f868,plain,
( $false
| ~ spl0_10
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f867,f9]) ).
fof(f869,plain,
( ~ spl0_10
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f868]) ).
fof(f874,plain,
( h(e12) = e23
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f309,f167]) ).
fof(f875,plain,
( e20 = e23
| ~ spl0_10
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f207,f874]) ).
fof(f876,plain,
( $false
| ~ spl0_10
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f875,f20]) ).
fof(f877,plain,
( ~ spl0_10
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f876]) ).
fof(f887,plain,
( h(e11) = e21
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f274,f165]) ).
fof(f888,plain,
( spl0_6
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f887,f193,f273]) ).
fof(f889,plain,
( j(e21) = op1(j(e21),e11)
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f274,f365]) ).
fof(f892,plain,
( j(e22) = op1(e11,e12)
| ~ spl0_10
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f603,f693]) ).
fof(f893,plain,
( j(e22) = e13
| ~ spl0_10
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f60,f892]) ).
fof(f902,plain,
( j(e24) = op1(e13,j(e21))
| ~ spl0_10
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f893,f370]) ).
fof(f903,plain,
( j(e24) = op1(e13,e11)
| ~ spl0_10
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f274,f902]) ).
fof(f904,plain,
( j(e24) = e14
| ~ spl0_10
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f69,f903]) ).
fof(f905,plain,
( e13 = op1(j(e24),j(e21))
| ~ spl0_10
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f893,f380]) ).
fof(f906,plain,
( e13 = op1(e14,j(e21))
| ~ spl0_10
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f904,f905]) ).
fof(f907,plain,
( e13 = op1(e14,e11)
| ~ spl0_10
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f274,f906]) ).
fof(f908,plain,
( e13 = e12
| ~ spl0_10
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f74,f907]) ).
fof(f909,plain,
( $false
| ~ spl0_10
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f908,f15]) ).
fof(f910,plain,
( ~ spl0_10
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f909]) ).
fof(f918,plain,
( h(e11) = op2(h(e14),e20)
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f207,f356]) ).
fof(f920,plain,
( h(e13) = op2(h(e14),e23)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f184,f354]) ).
fof(f925,plain,
( e23 = op2(h(e13),h(e12))
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f184,f351]) ).
fof(f931,plain,
( h(e11) = op2(h(e10),e23)
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f232,f337]) ).
fof(f933,plain,
( h(e10) = op2(e23,e20)
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f232,f847]) ).
fof(f934,plain,
( h(e10) = e24
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f93,f933]) ).
fof(f935,plain,
( $false
| spl0_4
| ~ spl0_18
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f934,f188]) ).
fof(f936,plain,
( spl0_4
| ~ spl0_18
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f935]) ).
fof(f943,plain,
( h(e11) = e22
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f290,f166]) ).
fof(f944,plain,
( spl0_7
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f943,f196,f289]) ).
fof(f953,plain,
( j(e21) = op1(e13,j(e22))
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f312,f376]) ).
fof(f954,plain,
( j(e21) = op1(e13,e11)
| ~ spl0_36
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f290,f953]) ).
fof(f955,plain,
( j(e21) = e14
| ~ spl0_36
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f69,f954]) ).
fof(f956,plain,
( e13 = op1(j(e21),j(e22))
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f312,f366]) ).
fof(f957,plain,
( e13 = op1(e14,j(e22))
| ~ spl0_36
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f955,f956]) ).
fof(f958,plain,
( e13 = op1(e14,e11)
| ~ spl0_36
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f290,f957]) ).
fof(f959,plain,
( e13 = e12
| ~ spl0_36
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f74,f958]) ).
fof(f960,plain,
( $false
| ~ spl0_36
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f959,f15]) ).
fof(f961,plain,
( ~ spl0_36
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f960]) ).
fof(f965,plain,
( h(e12) = e24
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f325,f168]) ).
fof(f966,plain,
( spl0_14
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f965,f218,f324]) ).
fof(f976,plain,
( j(e23) = e14
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f248,f173]) ).
fof(f980,plain,
( h(e10) = op2(h(e11),e23)
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f248,f343]) ).
fof(f982,plain,
( e23 = e21
| ~ spl0_23
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f248,f242]) ).
fof(f983,plain,
( $false
| ~ spl0_23
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f982,f23]) ).
fof(f984,plain,
( ~ spl0_23
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f983]) ).
fof(f985,plain,
( h(e14) = e21
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f715,f347]) ).
fof(f990,plain,
( h(e12) = e20
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f261,f164]) ).
fof(f997,plain,
( j(e21) = op1(j(e21),e14)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f283,f365]) ).
fof(f1001,plain,
( e23 = op2(h(e10),h(e13))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f200,f337]) ).
fof(f1002,plain,
( h(e13) = op2(h(e10),e23)
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f200,f335]) ).
fof(f1007,plain,
( e23 = h(e10)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f351,f925]) ).
fof(f1008,plain,
( h(e13) = op2(e21,e23)
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f985,f920]) ).
fof(f1009,plain,
( h(e13) = e24
| ~ spl0_21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f86,f1008]) ).
fof(f1014,plain,
( h(e14) = op2(e22,h(e11))
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f229,f350]) ).
fof(f1015,plain,
( e21 = op2(e22,h(e11))
| ~ spl0_21
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f985,f1014]) ).
fof(f1016,plain,
( e21 = op2(e22,e23)
| ~ spl0_8
| ~ spl0_21
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f200,f1015]) ).
fof(f1017,plain,
( e21 = e20
| ~ spl0_8
| ~ spl0_21
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f91,f1016]) ).
fof(f1018,plain,
( $false
| ~ spl0_8
| ~ spl0_21
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f1017,f18]) ).
fof(f1019,plain,
( ~ spl0_8
| ~ spl0_21
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1018]) ).
fof(f1020,plain,
( h(e14) = op2(h(e12),e22)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f229,f347]) ).
fof(f1021,plain,
( e21 = op2(h(e12),e22)
| ~ spl0_21
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f985,f1020]) ).
fof(f1022,plain,
( e21 = op2(e20,e22)
| ~ spl0_27
| ~ spl0_21
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f990,f1021]) ).
fof(f1023,plain,
( e21 = e24
| ~ spl0_27
| ~ spl0_21
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f80,f1022]) ).
fof(f1024,plain,
( $false
| ~ spl0_27
| ~ spl0_21
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f1023,f24]) ).
fof(f1025,plain,
( ~ spl0_27
| ~ spl0_21
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1024]) ).
fof(f1031,plain,
( j(e22) = e13
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f229,f172]) ).
fof(f1032,plain,
( spl0_38
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1031,f295,f228]) ).
fof(f1033,plain,
( h(e13) = op2(h(e13),e22)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f229,f352]) ).
fof(f1034,plain,
( e24 = op2(h(e13),e22)
| ~ spl0_21
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f1009,f1033]) ).
fof(f1035,plain,
( e24 = op2(e24,e22)
| ~ spl0_21
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f1009,f1034]) ).
fof(f1036,plain,
( e24 = e20
| ~ spl0_21
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f100,f1035]) ).
fof(f1037,plain,
( $false
| ~ spl0_21
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f1036,f21]) ).
fof(f1038,plain,
( ~ spl0_21
| ~ spl0_3
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1037]) ).
fof(f1041,plain,
( h(e13) = op2(e22,h(e12))
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f197,f341]) ).
fof(f1042,plain,
( h(e12) = op2(e22,h(e13))
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f197,f342]) ).
fof(f1046,plain,
( spl0_36
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f752,f289,f196]) ).
fof(f1053,plain,
( e10 = j(e22)
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f378,f454]) ).
fof(f1056,plain,
( spl0_2
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f507,f180,f286]) ).
fof(f1061,plain,
( j(e21) = e12
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f210,f171]) ).
fof(f1062,plain,
( spl0_32
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1061,f276,f209]) ).
fof(f1063,plain,
( h(e12) = op2(h(e12),e21)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f210,f346]) ).
fof(f1069,plain,
( j(e20) = op1(j(e21),e11)
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f322,f368]) ).
fof(f1081,plain,
( h(e11) = e24
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f322,f168]) ).
fof(f1082,plain,
( e22 = e24
| ~ spl0_7
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f197,f1081]) ).
fof(f1083,plain,
( $false
| ~ spl0_7
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f1082,f26]) ).
fof(f1084,plain,
( ~ spl0_7
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f1083]) ).
fof(f1090,plain,
( j(e22) = op1(e12,e11)
| ~ spl0_46
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f322,f739]) ).
fof(f1091,plain,
( j(e22) = e10
| ~ spl0_46
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f64,f1090]) ).
fof(f1119,plain,
( j(e20) = op1(e10,j(e23))
| ~ spl0_46
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f1091,f372]) ).
fof(f1120,plain,
( j(e20) = op1(e10,e12)
| ~ spl0_46
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f309,f1119]) ).
fof(f1121,plain,
( j(e20) = e14
| ~ spl0_46
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f55,f1120]) ).
fof(f1122,plain,
( e14 != e14
| ~ spl0_46
| ~ spl0_42
| spl0_29 ),
inference(forward_demodulation,[status(thm)],[f1121,f268]) ).
fof(f1123,plain,
( $false
| ~ spl0_46
| ~ spl0_42
| spl0_29 ),
inference(trivial_equality_resolution,[status(esa)],[f1122]) ).
fof(f1124,plain,
( ~ spl0_46
| ~ spl0_42
| spl0_29 ),
inference(contradiction_clause,[status(thm)],[f1123]) ).
fof(f1130,plain,
( spl0_39
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f828,f298,f244]) ).
fof(f1134,plain,
( h(e11) = op2(e22,e23)
| ~ spl0_42
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f874,f831]) ).
fof(f1135,plain,
( h(e11) = e20
| ~ spl0_42
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f91,f1134]) ).
fof(f1136,plain,
( $false
| spl0_5
| ~ spl0_42
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f1135,f192]) ).
fof(f1137,plain,
( spl0_5
| ~ spl0_42
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f1136]) ).
fof(f1139,plain,
( j(e20) = e10
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f175,f169]) ).
fof(f1140,plain,
( spl0_25
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f1139,f254,f174]) ).
fof(f1141,plain,
( h(e10) = op2(h(e10),e20)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f175,f334]) ).
fof(f1176,plain,
( j(e22) = op1(j(e22),e12)
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f293,f371]) ).
fof(f1177,plain,
( h(e12) = e22
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f293,f166]) ).
fof(f1178,plain,
( spl0_12
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f1177,f212,f292]) ).
fof(f1184,plain,
( j(e20) = e13
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f659,f172]) ).
fof(f1185,plain,
( spl0_28
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f1184,f263,f222]) ).
fof(f1186,plain,
( h(e13) = op2(h(e13),e20)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f659,f352]) ).
fof(f1205,plain,
( h(e12) = e22
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f293,f166]) ).
fof(f1206,plain,
( e23 = e22
| ~ spl0_42
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f874,f1205]) ).
fof(f1207,plain,
( $false
| ~ spl0_42
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f1206,f25]) ).
fof(f1208,plain,
( ~ spl0_42
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f1207]) ).
fof(f1212,plain,
( h(e12) = e21
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f277,f165]) ).
fof(f1213,plain,
( spl0_11
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f1212,f209,f276]) ).
fof(f1229,plain,
( j(e20) = e14
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f239,f173]) ).
fof(f1233,plain,
( e14 = op1(j(e21),e11)
| ~ spl0_20
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f1229,f1069]) ).
fof(f1234,plain,
( e14 = op1(e12,e11)
| ~ spl0_32
| ~ spl0_20
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f277,f1233]) ).
fof(f1235,plain,
( e14 = e10
| ~ spl0_32
| ~ spl0_20
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f64,f1234]) ).
fof(f1236,plain,
( $false
| ~ spl0_32
| ~ spl0_20
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f1235,f11]) ).
fof(f1237,plain,
( ~ spl0_32
| ~ spl0_20
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f1236]) ).
fof(f1239,plain,
( spl0_26
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f618,f257,f190]) ).
fof(f1248,plain,
( h(e14) = e22
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f299,f166]) ).
fof(f1249,plain,
( spl0_22
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1248,f244,f298]) ).
fof(f1251,plain,
( j(e21) = op1(e14,j(e20))
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f299,f369]) ).
fof(f1264,plain,
( h(e12) = e21
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f277,f165]) ).
fof(f1269,plain,
( j(e24) = op1(j(e22),e12)
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f277,f370]) ).
fof(f1274,plain,
( j(e24) = op1(e12,j(e23))
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f277,f367]) ).
fof(f1276,plain,
( h(e12) = op2(e21,e21)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f210,f1063]) ).
fof(f1286,plain,
( h(e10) = op2(e20,h(e14))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f191,f343]) ).
fof(f1287,plain,
( j(e24) = op1(j(e20),e14)
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f299,f361]) ).
fof(f1292,plain,
( j(e20) = e11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f191,f170]) ).
fof(f1298,plain,
( h(e14) = op2(h(e13),e20)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f191,f350]) ).
fof(f1312,plain,
( h(e14) = e22
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f299,f166]) ).
fof(f1316,plain,
( h(e13) = op2(h(e13),e21)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f226,f352]) ).
fof(f1317,plain,
( j(e21) = e13
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f226,f172]) ).
fof(f1327,plain,
( spl0_3
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f480,f183,f302]) ).
fof(f1351,plain,
( j(e24) = op1(e13,j(e23))
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f1317,f367]) ).
fof(f1352,plain,
( j(e24) = op1(e13,e10)
| ~ spl0_40
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f303,f1351]) ).
fof(f1353,plain,
( j(e24) = e12
| ~ spl0_40
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f68,f1352]) ).
fof(f1354,plain,
( $false
| spl0_47
| ~ spl0_40
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f1353,f326]) ).
fof(f1355,plain,
( spl0_47
| ~ spl0_40
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f1354]) ).
fof(f1358,plain,
( h(e11) = op2(h(e11),e23)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f200,f340]) ).
fof(f1359,plain,
( j(e23) = e11
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f200,f170]) ).
fof(f1360,plain,
( spl0_41
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f1359,f305,f199]) ).
fof(f1363,plain,
( spl0_44
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f976,f314,f247]) ).
fof(f1364,plain,
( h(e10) = h(e11)
| ~ spl0_8
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f1358,f980]) ).
fof(f1365,plain,
( h(e10) = e23
| ~ spl0_8
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f200,f1364]) ).
fof(f1372,plain,
( h(e13) = op2(e21,h(e14))
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f1264,f348]) ).
fof(f1373,plain,
( h(e13) = op2(e21,e23)
| ~ spl0_23
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f248,f1372]) ).
fof(f1374,plain,
( h(e13) = e24
| ~ spl0_23
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f86,f1373]) ).
fof(f1375,plain,
( h(e14) = op2(e21,h(e13))
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f1264,f347]) ).
fof(f1376,plain,
( e23 = op2(e21,h(e13))
| ~ spl0_23
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f248,f1375]) ).
fof(f1377,plain,
( e23 = op2(e21,e24)
| ~ spl0_23
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f1374,f1376]) ).
fof(f1378,plain,
( e23 = e20
| ~ spl0_23
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f87,f1377]) ).
fof(f1379,plain,
( $false
| ~ spl0_23
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f1378,f20]) ).
fof(f1380,plain,
( ~ spl0_23
| ~ spl0_32 ),
inference(contradiction_clause,[status(thm)],[f1379]) ).
fof(f1381,plain,
( h(e10) = e24
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f319,f168]) ).
fof(f1387,plain,
( j(e20) = op1(j(e21),e10)
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f319,f368]) ).
fof(f1410,plain,
( e20 = op2(h(e11),h(e10))
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f239,f339]) ).
fof(f1411,plain,
( e20 = h(e14)
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f339,f1410]) ).
fof(f1419,plain,
( e14 = op1(j(e24),j(e22))
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f1229,f381]) ).
fof(f1420,plain,
( e14 = j(e20)
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f381,f1419]) ).
fof(f1426,plain,
( h(e11) = op2(e21,e21)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f194,f793]) ).
fof(f1427,plain,
( h(e11) = e21
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f84,f1426]) ).
fof(f1448,plain,
( h(e14) = e23
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f315,f167]) ).
fof(f1449,plain,
( spl0_23
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1448,f247,f314]) ).
fof(f1454,plain,
( e14 = op1(j(e21),j(e22))
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f315,f366]) ).
fof(f1456,plain,
( e14 = op1(j(e20),j(e21))
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f315,f360]) ).
fof(f1457,plain,
( h(e13) = op2(e20,e20)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f659,f1186]) ).
fof(f1458,plain,
( h(e13) = e20
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f78,f1457]) ).
fof(f1464,plain,
( j(e20) = e13
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f659,f172]) ).
fof(f1473,plain,
( h(e12) = op2(e22,e20)
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f1458,f1042]) ).
fof(f1474,plain,
( h(e12) = e21
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f88,f1473]) ).
fof(f1475,plain,
( e20 = op2(e22,h(e12))
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f1458,f1041]) ).
fof(f1476,plain,
( e20 = op2(e22,e21)
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f1474,f1475]) ).
fof(f1477,plain,
( e20 = e24
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f89,f1476]) ).
fof(f1478,plain,
( $false
| ~ spl0_15
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1477,f21]) ).
fof(f1479,plain,
( ~ spl0_15
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1478]) ).
fof(f1492,plain,
( h(e10) = op2(e20,e20)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f175,f1141]) ).
fof(f1493,plain,
( h(e10) = e20
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f78,f1492]) ).
fof(f1519,plain,
( h(e14) = e23
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f315,f167]) ).
fof(f1521,plain,
( h(e10) = op2(e23,h(e13))
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f248,f357]) ).
fof(f1522,plain,
( e20 = op2(e23,h(e13))
| ~ spl0_0
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f1493,f1521]) ).
fof(f1525,plain,
( h(e13) = op2(e23,h(e10))
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f248,f354]) ).
fof(f1526,plain,
( h(e13) = op2(e23,e20)
| ~ spl0_0
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f1493,f1525]) ).
fof(f1527,plain,
( h(e13) = e24
| ~ spl0_0
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f93,f1526]) ).
fof(f1540,plain,
( e10 = op1(j(e22),j(e20))
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f271,f369]) ).
fof(f1541,plain,
( e10 = j(e21)
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f369,f1540]) ).
fof(f1563,plain,
( j(e23) = op1(e14,j(e21))
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f1420,f360]) ).
fof(f1564,plain,
( j(e23) = op1(e14,e10)
| ~ spl0_30
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f1541,f1563]) ).
fof(f1565,plain,
( j(e23) = e13
| ~ spl0_30
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f73,f1564]) ).
fof(f1566,plain,
( e14 = op1(j(e23),j(e21))
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f1420,f375]) ).
fof(f1567,plain,
( e14 = op1(e13,j(e21))
| ~ spl0_30
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f1565,f1566]) ).
fof(f1568,plain,
( e14 = op1(e13,e10)
| ~ spl0_30
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f1541,f1567]) ).
fof(f1569,plain,
( e14 = e12
| ~ spl0_30
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f68,f1568]) ).
fof(f1570,plain,
( $false
| ~ spl0_30
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f1569,f16]) ).
fof(f1571,plain,
( ~ spl0_30
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f1570]) ).
fof(f1584,plain,
( h(e11) = e22
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f290,f166]) ).
fof(f1601,plain,
( h(e13) = op2(e21,e21)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f226,f1316]) ).
fof(f1602,plain,
( h(e13) = e21
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f84,f1601]) ).
fof(f1603,plain,
( j(e21) = e13
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f226,f172]) ).
fof(f1604,plain,
( spl0_33
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f1603,f279,f225]) ).
fof(f1612,plain,
( j(e23) = op1(e13,j(e22))
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f1317,f366]) ).
fof(f1620,plain,
( h(e10) = op2(e20,h(e13))
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f1411,f357]) ).
fof(f1621,plain,
( h(e10) = op2(e20,e21)
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f1602,f1620]) ).
fof(f1622,plain,
( h(e10) = e23
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f79,f1621]) ).
fof(f1623,plain,
( $false
| spl0_3
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f1622,f185]) ).
fof(f1624,plain,
( spl0_3
| ~ spl0_16
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f1623]) ).
fof(f1637,plain,
( h(e14) = e20
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f267,f164]) ).
fof(f1680,plain,
( j(e22) = op1(e12,e12)
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f293,f1176]) ).
fof(f1681,plain,
( j(e22) = e12
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f65,f1680]) ).
fof(f1698,plain,
( h(e13) = op2(e23,e23)
| ~ spl0_23
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f1365,f1002]) ).
fof(f1699,plain,
( h(e13) = e23
| ~ spl0_23
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f96,f1698]) ).
fof(f1700,plain,
( $false
| spl0_18
| ~ spl0_23
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f1699,f233]) ).
fof(f1701,plain,
( spl0_18
| ~ spl0_23
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f1700]) ).
fof(f1703,plain,
( e14 = op1(e13,j(e21))
| ~ spl0_15
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f1464,f1456]) ).
fof(f1704,plain,
( e14 = op1(e13,e13)
| ~ spl0_33
| ~ spl0_15
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f280,f1703]) ).
fof(f1705,plain,
( e14 = e13
| ~ spl0_33
| ~ spl0_15
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f71,f1704]) ).
fof(f1706,plain,
( $false
| ~ spl0_33
| ~ spl0_15
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f1705,f17]) ).
fof(f1707,plain,
( ~ spl0_33
| ~ spl0_15
| ~ spl0_44 ),
inference(contradiction_clause,[status(thm)],[f1706]) ).
fof(f1708,plain,
( j(e21) = op1(j(e22),e13)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f1464,f369]) ).
fof(f1709,plain,
( j(e21) = op1(e12,e13)
| ~ spl0_37
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f1681,f1708]) ).
fof(f1710,plain,
( j(e21) = e14
| ~ spl0_37
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f66,f1709]) ).
fof(f1711,plain,
( j(e22) = op1(j(e21),e13)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f1464,f364]) ).
fof(f1712,plain,
( e12 = op1(j(e21),e13)
| ~ spl0_37
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f1681,f1711]) ).
fof(f1713,plain,
( e12 = op1(e14,e13)
| ~ spl0_37
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f1710,f1712]) ).
fof(f1714,plain,
( e12 = e10
| ~ spl0_37
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f76,f1713]) ).
fof(f1715,plain,
( $false
| ~ spl0_37
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1714,f9]) ).
fof(f1716,plain,
( ~ spl0_37
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1715]) ).
fof(f1718,plain,
( j(e21) = op1(e13,j(e24))
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f1464,f363]) ).
fof(f1743,plain,
( j(e24) = op1(e13,j(e22))
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f1464,f361]) ).
fof(f1754,plain,
( j(e23) = e10
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f1007,f169]) ).
fof(f1769,plain,
( j(e20) = op1(j(e20),e11)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f1292,f359]) ).
fof(f1770,plain,
( e13 = op1(j(e20),e11)
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f1464,f1769]) ).
fof(f1771,plain,
( e13 = op1(e13,e11)
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f1464,f1770]) ).
fof(f1772,plain,
( e13 = e14
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f69,f1771]) ).
fof(f1773,plain,
( $false
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f1772,f17]) ).
fof(f1774,plain,
( ~ spl0_15
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f1773]) ).
fof(f1777,plain,
( j(e20) = op1(j(e20),e11)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f258,f359]) ).
fof(f1778,plain,
( h(e11) = e20
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f258,f164]) ).
fof(f1779,plain,
( spl0_5
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f1778,f190,f257]) ).
fof(f1785,plain,
( e10 = op1(j(e21),j(e22))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1754,f366]) ).
fof(f1789,plain,
( j(e21) = op1(j(e24),e10)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1754,f382]) ).
fof(f1794,plain,
( h(e14) = op2(e23,h(e12))
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f184,f336]) ).
fof(f1798,plain,
( j(e23) = e10
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f184,f169]) ).
fof(f1799,plain,
( spl0_40
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f1798,f302,f183]) ).
fof(f1810,plain,
( e14 = e10
| ~ spl0_3
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f1785,f1454]) ).
fof(f1811,plain,
( $false
| ~ spl0_3
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f1810,f11]) ).
fof(f1812,plain,
( ~ spl0_3
| ~ spl0_44 ),
inference(contradiction_clause,[status(thm)],[f1811]) ).
fof(f1817,plain,
( h(e12) = e22
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f1681,f166]) ).
fof(f1820,plain,
( e12 = op1(j(e24),j(e21))
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f1681,f380]) ).
fof(f1821,plain,
( e12 = j(e22)
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f380,f1820]) ).
fof(f1823,plain,
( e12 = op1(j(e23),j(e24))
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f1681,f378]) ).
fof(f1828,plain,
( j(e23) = op1(j(e21),e12)
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f1681,f366]) ).
fof(f1830,plain,
( j(e21) = op1(j(e23),e12)
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f1681,f376]) ).
fof(f1851,plain,
( j(e21) = op1(e14,e14)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f283,f997]) ).
fof(f1852,plain,
( j(e21) = e14
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f77,f1851]) ).
fof(f1853,plain,
( h(e14) = e21
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f283,f165]) ).
fof(f1854,plain,
( spl0_21
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f1853,f241,f282]) ).
fof(f1865,plain,
( j(e20) = op1(e11,e11)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f258,f1777]) ).
fof(f1866,plain,
( j(e20) = e11
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f59,f1865]) ).
fof(f1868,plain,
( j(e24) = op1(e11,e13)
| ~ spl0_38
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f296,f738]) ).
fof(f1869,plain,
( j(e24) = e12
| ~ spl0_38
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f61,f1868]) ).
fof(f1870,plain,
( $false
| spl0_47
| ~ spl0_38
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f1869,f326]) ).
fof(f1871,plain,
( spl0_47
| ~ spl0_38
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f1870]) ).
fof(f1874,plain,
( h(e11) = op2(e24,h(e13))
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f1381,f337]) ).
fof(f1875,plain,
( h(e11) = op2(e24,e22)
| ~ spl0_17
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f229,f1874]) ).
fof(f1876,plain,
( h(e11) = e20
| ~ spl0_17
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f100,f1875]) ).
fof(f1877,plain,
( h(e13) = op2(e24,h(e11))
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f1381,f335]) ).
fof(f1878,plain,
( e22 = op2(e24,h(e11))
| ~ spl0_17
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f229,f1877]) ).
fof(f1879,plain,
( e22 = op2(e24,e20)
| ~ spl0_17
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f1876,f1878]) ).
fof(f1880,plain,
( e22 = e23
| ~ spl0_17
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f98,f1879]) ).
fof(f1881,plain,
( $false
| ~ spl0_17
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f1880,f25]) ).
fof(f1882,plain,
( ~ spl0_17
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f1881]) ).
fof(f1887,plain,
( j(e23) = op1(e13,j(e24))
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f296,f373]) ).
fof(f1888,plain,
( e13 = op1(j(e23),j(e24))
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f296,f378]) ).
fof(f1893,plain,
( h(e13) = e22
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f296,f166]) ).
fof(f1906,plain,
( j(e22) = e13
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f229,f172]) ).
fof(f1921,plain,
( j(e24) = op1(j(e20),e13)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f296,f361]) ).
fof(f1923,plain,
( j(e24) = e12
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f219,f171]) ).
fof(f1928,plain,
( e24 = e21
| ~ spl0_14
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f219,f210]) ).
fof(f1929,plain,
( $false
| ~ spl0_14
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f1928,f24]) ).
fof(f1930,plain,
( ~ spl0_14
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f1929]) ).
fof(f1948,plain,
( j(e23) = e13
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f232,f172]) ).
fof(f1949,plain,
( spl0_43
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1948,f311,f231]) ).
fof(f1950,plain,
( h(e11) = op2(e23,h(e14))
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f232,f353]) ).
fof(f1953,plain,
( h(e14) = op2(e23,h(e11))
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f232,f350]) ).
fof(f1988,plain,
( j(e21) = op1(j(e21),e13)
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f280,f365]) ).
fof(f1989,plain,
( h(e13) = e21
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f280,f165]) ).
fof(f1990,plain,
( spl0_16
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1989,f225,f279]) ).
fof(f2004,plain,
( h(e11) = op2(e23,h(e10))
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f216,f344]) ).
fof(f2014,plain,
( j(e23) = e12
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f216,f171]) ).
fof(f2014_008,plain,
( j(e23) = e12
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f216,f171]) ).
fof(f2033,plain,
( e12 = op1(j(e20),e13)
| ~ spl0_14
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f1923,f1921]) ).
fof(f2037,plain,
( j(e23) = op1(e13,e12)
| ~ spl0_14
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f1923,f1887]) ).
fof(f2038,plain,
( j(e23) = e10
| ~ spl0_14
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f70,f2037]) ).
fof(f2039,plain,
( j(e24) = e12
| ~ spl0_14
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f2033,f1921]) ).
fof(f2042,plain,
( e13 = op1(e10,j(e24))
| ~ spl0_14
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f2038,f1888]) ).
fof(f2043,plain,
( e13 = op1(e10,e12)
| ~ spl0_14
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f2039,f2042]) ).
fof(f2044,plain,
( e13 = e14
| ~ spl0_14
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f55,f2043]) ).
fof(f2045,plain,
( $false
| ~ spl0_14
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f2044,f17]) ).
fof(f2046,plain,
( ~ spl0_14
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f2045]) ).
fof(f2047,plain,
( spl0_17
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f1893,f228,f295]) ).
fof(f2058,plain,
( j(e24) = e14
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f251,f173]) ).
fof(f2095,plain,
( e23 = op2(h(e11),h(e13))
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f216,f342]) ).
fof(f2096,plain,
( e23 = h(e12)
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f342,f2095]) ).
fof(f2098,plain,
( j(e20) = op1(j(e22),e12)
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f2014,f372]) ).
fof(f2099,plain,
( j(e20) = op1(e13,e12)
| ~ spl0_38
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f296,f2098]) ).
fof(f2100,plain,
( j(e20) = e10
| ~ spl0_38
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f70,f2099]) ).
fof(f2101,plain,
( j(e22) = op1(j(e20),e12)
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f2014,f362]) ).
fof(f2102,plain,
( e13 = op1(j(e20),e12)
| ~ spl0_38
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f296,f2101]) ).
fof(f2103,plain,
( e13 = op1(e10,e12)
| ~ spl0_38
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f2100,f2102]) ).
fof(f2104,plain,
( e13 = e14
| ~ spl0_38
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f55,f2103]) ).
fof(f2105,plain,
( $false
| ~ spl0_38
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f2104,f17]) ).
fof(f2106,plain,
( ~ spl0_38
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f2105]) ).
fof(f2113,plain,
( h(e12) = e24
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f1923,f168]) ).
fof(f2125,plain,
( j(e24) = op1(j(e23),e11)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f1866,f374]) ).
fof(f2127,plain,
( j(e23) = op1(j(e24),e11)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f1866,f379]) ).
fof(f2128,plain,
( j(e23) = op1(e12,e11)
| ~ spl0_14
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f1923,f2127]) ).
fof(f2129,plain,
( j(e23) = e10
| ~ spl0_14
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f64,f2128]) ).
fof(f2130,plain,
( $false
| spl0_40
| ~ spl0_14
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f2129,f304]) ).
fof(f2131,plain,
( spl0_40
| ~ spl0_14
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f2130]) ).
fof(f2132,plain,
( h(e11) = e20
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f1866,f164]) ).
fof(f2137,plain,
( j(e23) = op1(e10,j(e24))
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f1053,f373]) ).
fof(f2138,plain,
( j(e23) = op1(e10,e12)
| ~ spl0_14
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f1923,f2137]) ).
fof(f2139,plain,
( j(e23) = e14
| ~ spl0_14
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f55,f2138]) ).
fof(f2140,plain,
( $false
| spl0_44
| ~ spl0_14
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f2139,f316]) ).
fof(f2141,plain,
( spl0_44
| ~ spl0_14
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f2140]) ).
fof(f2143,plain,
( h(e13) = op2(e21,h(e12))
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f1427,f341]) ).
fof(f2144,plain,
( h(e13) = op2(e21,e24)
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f2113,f2143]) ).
fof(f2145,plain,
( h(e13) = e20
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f87,f2144]) ).
fof(f2146,plain,
( h(e12) = op2(e21,h(e13))
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f1427,f342]) ).
fof(f2147,plain,
( e24 = op2(e21,h(e13))
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f2113,f2146]) ).
fof(f2148,plain,
( e24 = op2(e21,e20)
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f2145,f2147]) ).
fof(f2149,plain,
( e24 = e22
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f83,f2148]) ).
fof(f2150,plain,
( $false
| ~ spl0_14
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f2149,f26]) ).
fof(f2151,plain,
( ~ spl0_14
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f2150]) ).
fof(f2192,plain,
( h(e10) = e23
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f303,f167]) ).
fof(f2207,plain,
( h(e14) = op2(e23,e24)
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f2113,f1794]) ).
fof(f2208,plain,
( h(e14) = e22
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f97,f2207]) ).
fof(f2209,plain,
( $false
| spl0_22
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f2208,f246]) ).
fof(f2210,plain,
( spl0_22
| ~ spl0_14
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f2209]) ).
fof(f2218,plain,
( j(e21) = op1(e12,e10)
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1923,f1789]) ).
fof(f2219,plain,
( j(e21) = e11
| ~ spl0_14
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f63,f2218]) ).
fof(f2221,plain,
( j(e21) = op1(e13,e13)
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f280,f1988]) ).
fof(f2222,plain,
( e11 = op1(e13,e13)
| ~ spl0_14
| ~ spl0_3
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f2219,f2221]) ).
fof(f2223,plain,
( e11 = e13
| ~ spl0_14
| ~ spl0_3
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f71,f2222]) ).
fof(f2224,plain,
( $false
| ~ spl0_14
| ~ spl0_3
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f2223,f13]) ).
fof(f2225,plain,
( ~ spl0_14
| ~ spl0_3
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f2224]) ).
fof(f2228,plain,
( e10 = j(e20)
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f375,f490]) ).
fof(f2229,plain,
( spl0_0
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f528,f174,f254]) ).
fof(f2235,plain,
( e23 = h(e11)
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f337,f1001]) ).
fof(f2246,plain,
( e24 = e22
| ~ spl0_14
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f2113,f1817]) ).
fof(f2247,plain,
( $false
| ~ spl0_14
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f2246,f26]) ).
fof(f2248,plain,
( ~ spl0_14
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f2247]) ).
fof(f2251,plain,
( h(e11) = e23
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f306,f167]) ).
fof(f2252,plain,
( spl0_8
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f2251,f199,f305]) ).
fof(f2261,plain,
( h(e11) = e23
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f306,f167]) ).
fof(f2273,plain,
( j(e21) = op1(e13,j(e23))
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f328,f382]) ).
fof(f2274,plain,
( j(e21) = op1(e13,e11)
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f306,f2273]) ).
fof(f2275,plain,
( j(e21) = e14
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f69,f2274]) ).
fof(f2276,plain,
( $false
| spl0_34
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f2275,f284]) ).
fof(f2277,plain,
( spl0_34
| ~ spl0_41
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f2276]) ).
fof(f2280,plain,
( h(e10) = e22
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f1053,f166]) ).
fof(f2290,plain,
( h(e13) = op2(e22,h(e11))
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f2280,f335]) ).
fof(f2291,plain,
( h(e13) = op2(e22,e23)
| ~ spl0_41
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f2261,f2290]) ).
fof(f2292,plain,
( h(e13) = e20
| ~ spl0_41
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f91,f2291]) ).
fof(f2293,plain,
( $false
| spl0_15
| ~ spl0_41
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f2292,f224]) ).
fof(f2294,plain,
( spl0_15
| ~ spl0_41
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f2293]) ).
fof(f2309,plain,
( h(e12) = op2(e22,h(e14))
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f181,f338]) ).
fof(f2311,plain,
( j(e22) = e10
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f181,f169]) ).
fof(f2316,plain,
( h(e14) = op2(e22,h(e12))
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f181,f336]) ).
fof(f2317,plain,
( e22 = op2(h(e14),h(e13))
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f181,f357]) ).
fof(f2325,plain,
( spl0_42
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f2014,f308,f215]) ).
fof(f2328,plain,
( h(e11) = op2(e23,e22)
| ~ spl0_35
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f2280,f2004]) ).
fof(f2329,plain,
( h(e11) = e21
| ~ spl0_35
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f95,f2328]) ).
fof(f2330,plain,
( h(e10) = op2(e23,h(e11))
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f2096,f345]) ).
fof(f2331,plain,
( e22 = op2(e23,h(e11))
| ~ spl0_35
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f2280,f2330]) ).
fof(f2332,plain,
( e22 = op2(e23,e21)
| ~ spl0_35
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f2329,f2331]) ).
fof(f2333,plain,
( e22 = e20
| ~ spl0_35
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f94,f2332]) ).
fof(f2334,plain,
( $false
| ~ spl0_35
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f2333,f19]) ).
fof(f2335,plain,
( ~ spl0_35
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f2334]) ).
fof(f2337,plain,
( h(e13) = op2(h(e10),e20)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f2132,f335]) ).
fof(f2338,plain,
( h(e13) = op2(e22,e20)
| ~ spl0_35
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f2280,f2337]) ).
fof(f2339,plain,
( h(e13) = e21
| ~ spl0_35
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f88,f2338]) ).
fof(f2340,plain,
( e20 = op2(h(e10),h(e13))
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f2132,f337]) ).
fof(f2341,plain,
( e20 = op2(e22,h(e13))
| ~ spl0_35
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f2280,f2340]) ).
fof(f2342,plain,
( e20 = op2(e22,e21)
| ~ spl0_35
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f2339,f2341]) ).
fof(f2343,plain,
( e20 = e24
| ~ spl0_35
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f89,f2342]) ).
fof(f2344,plain,
( $false
| ~ spl0_35
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f2343,f21]) ).
fof(f2345,plain,
( ~ spl0_35
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f2344]) ).
fof(f2351,plain,
( h(e14) = op2(h(e14),e23)
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f1519,f358]) ).
fof(f2391,plain,
( j(e24) = op1(j(e23),e12)
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f261,f374]) ).
fof(f2392,plain,
( j(e24) = op1(e14,e12)
| ~ spl0_44
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f315,f2391]) ).
fof(f2393,plain,
( j(e24) = e11
| ~ spl0_44
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f75,f2392]) ).
fof(f2394,plain,
( $false
| spl0_46
| ~ spl0_44
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f2393,f323]) ).
fof(f2395,plain,
( spl0_46
| ~ spl0_44
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f2394]) ).
fof(f2404,plain,
( h(e13) = op2(h(e14),e21)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f178,f354]) ).
fof(f2405,plain,
( h(e13) = op2(e23,e21)
| ~ spl0_44
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1519,f2404]) ).
fof(f2406,plain,
( h(e13) = e20
| ~ spl0_44
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f94,f2405]) ).
fof(f2407,plain,
( $false
| spl0_15
| ~ spl0_44
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f2406,f224]) ).
fof(f2408,plain,
( spl0_15
| ~ spl0_44
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f2407]) ).
fof(f2423,plain,
( j(e21) = op1(e11,e11)
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f274,f889]) ).
fof(f2424,plain,
( j(e21) = e11
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f59,f2423]) ).
fof(f2431,plain,
( h(e11) = e21
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f274,f165]) ).
fof(f2432,plain,
( e24 = e21
| ~ spl0_46
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f1081,f2431]) ).
fof(f2433,plain,
( $false
| ~ spl0_46
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f2432,f24]) ).
fof(f2434,plain,
( ~ spl0_46
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f2433]) ).
fof(f2439,plain,
( h(e11) = op2(h(e11),e20)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f2132,f340]) ).
fof(f2440,plain,
( e21 = op2(h(e11),e20)
| ~ spl0_6
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f1427,f2439]) ).
fof(f2441,plain,
( e21 = op2(e21,e20)
| ~ spl0_6
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f1427,f2440]) ).
fof(f2442,plain,
( e21 = e22
| ~ spl0_6
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f83,f2441]) ).
fof(f2443,plain,
( $false
| ~ spl0_6
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f2442,f22]) ).
fof(f2444,plain,
( ~ spl0_6
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f2443]) ).
fof(f2455,plain,
( e14 = op1(j(e20),j(e24))
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f1852,f363]) ).
fof(f2456,plain,
( e14 = j(e21)
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f363,f2455]) ).
fof(f2463,plain,
( h(e12) = op2(e22,h(e13))
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f1584,f342]) ).
fof(f2481,plain,
( j(e23) = op1(e10,j(e21))
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f2228,f360]) ).
fof(f2485,plain,
( h(e10) = e20
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f2228,f164]) ).
fof(f2493,plain,
( j(e24) = op1(j(e24),e13)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f328,f383]) ).
fof(f2508,plain,
( j(e21) = op1(j(e24),e14)
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f315,f382]) ).
fof(f2509,plain,
( j(e21) = op1(e13,e14)
| ~ spl0_48
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f328,f2508]) ).
fof(f2510,plain,
( j(e21) = e11
| ~ spl0_48
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f72,f2509]) ).
fof(f2515,plain,
( j(e24) = op1(j(e21),e14)
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f315,f367]) ).
fof(f2516,plain,
( e13 = op1(j(e21),e14)
| ~ spl0_48
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f328,f2515]) ).
fof(f2517,plain,
( e13 = op1(e11,e14)
| ~ spl0_48
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f2510,f2516]) ).
fof(f2518,plain,
( e13 = e10
| ~ spl0_48
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f62,f2517]) ).
fof(f2519,plain,
( $false
| ~ spl0_48
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f2518,f10]) ).
fof(f2520,plain,
( ~ spl0_48
| ~ spl0_44 ),
inference(contradiction_clause,[status(thm)],[f2519]) ).
fof(f2521,plain,
( h(e14) = op2(e23,e23)
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f1519,f2351]) ).
fof(f2522,plain,
( h(e14) = e23
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f96,f2521]) ).
fof(f2536,plain,
( h(e11) = e21
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f2424,f165]) ).
fof(f2548,plain,
( h(e10) = op2(e21,h(e14))
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f2536,f343]) ).
fof(f2549,plain,
( h(e10) = op2(e21,e23)
| ~ spl0_44
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f2522,f2548]) ).
fof(f2550,plain,
( h(e10) = e24
| ~ spl0_44
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f86,f2549]) ).
fof(f2567,plain,
( h(e12) = op2(e24,h(e14))
| ~ spl0_44
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f2550,f338]) ).
fof(f2568,plain,
( h(e12) = op2(e24,e23)
| ~ spl0_44
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f2522,f2567]) ).
fof(f2569,plain,
( h(e12) = e21
| ~ spl0_44
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f101,f2568]) ).
fof(f2570,plain,
( $false
| spl0_11
| ~ spl0_44
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f2569,f211]) ).
fof(f2571,plain,
( spl0_11
| ~ spl0_44
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f2570]) ).
fof(f2573,plain,
( e13 = op1(j(e23),j(e22))
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f280,f376]) ).
fof(f2574,plain,
( e13 = j(e21)
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f376,f2573]) ).
fof(f2612,plain,
( h(e12) = op2(e20,h(e14))
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f1493,f338]) ).
fof(f2619,plain,
( h(e14) = op2(e20,h(e12))
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f1493,f336]) ).
fof(f2633,plain,
( h(e13) = op2(h(e10),e23)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f2235,f335]) ).
fof(f2634,plain,
( h(e13) = op2(e20,e23)
| ~ spl0_25
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f2485,f2633]) ).
fof(f2635,plain,
( h(e13) = e22
| ~ spl0_25
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f81,f2634]) ).
fof(f2636,plain,
( $false
| spl0_17
| ~ spl0_25
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f2635,f230]) ).
fof(f2637,plain,
( spl0_17
| ~ spl0_25
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f2636]) ).
fof(f2680,plain,
( h(e14) = op2(h(e11),e21)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f178,f339]) ).
fof(f2681,plain,
( h(e14) = op2(e23,e21)
| ~ spl0_8
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f2235,f2680]) ).
fof(f2682,plain,
( h(e14) = e20
| ~ spl0_8
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f94,f2681]) ).
fof(f2683,plain,
( $false
| spl0_20
| ~ spl0_8
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f2682,f240]) ).
fof(f2684,plain,
( spl0_20
| ~ spl0_8
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f2683]) ).
fof(f2689,plain,
( j(e21) = e10
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f178,f169]) ).
fof(f2735,plain,
( h(e11) = op2(e21,e23)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f178,f931]) ).
fof(f2736,plain,
( h(e11) = e24
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f86,f2735]) ).
fof(f2742,plain,
( h(e14) = op2(e23,e24)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f2736,f1953]) ).
fof(f2743,plain,
( h(e14) = e22
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f97,f2742]) ).
fof(f2744,plain,
( e24 = op2(e23,h(e14))
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f2736,f1950]) ).
fof(f2745,plain,
( e24 = op2(e23,e22)
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f2743,f2744]) ).
fof(f2746,plain,
( e24 = e21
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f95,f2745]) ).
fof(f2747,plain,
( $false
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f2746,f24]) ).
fof(f2748,plain,
( ~ spl0_1
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f2747]) ).
fof(f2754,plain,
( h(e13) = e23
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f312,f167]) ).
fof(f2755,plain,
( j(e23) = op1(j(e23),e13)
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f312,f377]) ).
fof(f2759,plain,
( spl0_20
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f1637,f238,f266]) ).
fof(f2769,plain,
( j(e22) = op1(e14,j(e23))
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f267,f362]) ).
fof(f2770,plain,
( j(e22) = op1(e14,e13)
| ~ spl0_43
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f312,f2769]) ).
fof(f2771,plain,
( j(e22) = e10
| ~ spl0_43
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f76,f2770]) ).
fof(f2772,plain,
( e14 = op1(j(e22),j(e23))
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f267,f372]) ).
fof(f2773,plain,
( e14 = op1(e10,j(e23))
| ~ spl0_43
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f2771,f2772]) ).
fof(f2774,plain,
( e14 = op1(e10,e13)
| ~ spl0_43
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f312,f2773]) ).
fof(f2775,plain,
( e14 = e11
| ~ spl0_43
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f56,f2774]) ).
fof(f2776,plain,
( $false
| ~ spl0_43
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f2775,f14]) ).
fof(f2777,plain,
( ~ spl0_43
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f2776]) ).
fof(f2792,plain,
( h(e14) = e20
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f267,f164]) ).
fof(f2798,plain,
( e23 = op2(h(e11),h(e14))
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f2192,f343]) ).
fof(f2799,plain,
( e23 = h(e10)
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f343,f2798]) ).
fof(f2802,plain,
( h(e13) = op2(h(e14),e23)
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f2192,f354]) ).
fof(f2803,plain,
( h(e13) = op2(e20,e23)
| ~ spl0_29
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f2792,f2802]) ).
fof(f2804,plain,
( h(e13) = e22
| ~ spl0_29
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f81,f2803]) ).
fof(f2835,plain,
( h(e12) = e21
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f84,f1276]) ).
fof(f2847,plain,
( h(e11) = op2(e23,h(e13))
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f2799,f337]) ).
fof(f2848,plain,
( h(e11) = op2(e23,e22)
| ~ spl0_29
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f2804,f2847]) ).
fof(f2849,plain,
( h(e11) = e21
| ~ spl0_29
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f95,f2848]) ).
fof(f2852,plain,
( h(e12) = op2(e21,h(e13))
| ~ spl0_29
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f2849,f342]) ).
fof(f2853,plain,
( h(e12) = op2(e21,e22)
| ~ spl0_29
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f2804,f2852]) ).
fof(f2854,plain,
( h(e12) = e23
| ~ spl0_29
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f85,f2853]) ).
fof(f2864,plain,
( e22 = op2(h(e12),h(e14))
| ~ spl0_29
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f2804,f348]) ).
fof(f2865,plain,
( e22 = op2(e23,h(e14))
| ~ spl0_29
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f2854,f2864]) ).
fof(f2866,plain,
( e22 = op2(e23,e20)
| ~ spl0_29
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f2792,f2865]) ).
fof(f2867,plain,
( e22 = e24
| ~ spl0_29
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f93,f2866]) ).
fof(f2868,plain,
( $false
| ~ spl0_29
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f2867,f26]) ).
fof(f2869,plain,
( ~ spl0_29
| ~ spl0_40 ),
inference(contradiction_clause,[status(thm)],[f2868]) ).
fof(f2873,plain,
( j(e23) = op1(e12,e13)
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f1906,f766]) ).
fof(f2874,plain,
( j(e23) = e14
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f66,f2873]) ).
fof(f2875,plain,
( j(e24) = op1(e12,e14)
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f2874,f1274]) ).
fof(f2876,plain,
( j(e24) = e13
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f67,f2875]) ).
fof(f2881,plain,
( e13 = op1(j(e22),e12)
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f2876,f1269]) ).
fof(f2882,plain,
( e13 = op1(e13,e12)
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f1906,f2881]) ).
fof(f2883,plain,
( e13 = e10
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f70,f2882]) ).
fof(f2884,plain,
( $false
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f2883,f10]) ).
fof(f2885,plain,
( ~ spl0_17
| ~ spl0_32 ),
inference(contradiction_clause,[status(thm)],[f2884]) ).
fof(f2923,plain,
( j(e23) = op1(e13,e13)
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f312,f2755]) ).
fof(f2924,plain,
( j(e23) = e13
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f71,f2923]) ).
fof(f2927,plain,
( j(e21) = op1(e13,e13)
| ~ spl0_17
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f1906,f953]) ).
fof(f2928,plain,
( j(e21) = e13
| ~ spl0_17
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f71,f2927]) ).
fof(f2929,plain,
( $false
| spl0_33
| ~ spl0_17
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f2928,f281]) ).
fof(f2930,plain,
( spl0_33
| ~ spl0_17
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f2929]) ).
fof(f2941,plain,
( j(e21) = e14
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f242,f173]) ).
fof(f2957,plain,
( j(e24) = op1(e12,j(e21))
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f1821,f370]) ).
fof(f2958,plain,
( j(e24) = op1(e12,e14)
| ~ spl0_21
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f2941,f2957]) ).
fof(f2959,plain,
( j(e24) = e13
| ~ spl0_21
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f67,f2958]) ).
fof(f2960,plain,
( e12 = op1(j(e24),j(e21))
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f1821,f380]) ).
fof(f2961,plain,
( e12 = op1(e13,j(e21))
| ~ spl0_21
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f2959,f2960]) ).
fof(f2962,plain,
( e12 = op1(e13,e14)
| ~ spl0_21
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f2941,f2961]) ).
fof(f2963,plain,
( e12 = e11
| ~ spl0_21
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f72,f2962]) ).
fof(f2964,plain,
( $false
| ~ spl0_21
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f2963,f12]) ).
fof(f2965,plain,
( ~ spl0_21
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f2964]) ).
fof(f2975,plain,
( j(e24) = op1(e13,e13)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f328,f2493]) ).
fof(f2976,plain,
( j(e24) = e13
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f71,f2975]) ).
fof(f2995,plain,
( j(e22) = op1(e13,j(e21))
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f2976,f380]) ).
fof(f2996,plain,
( j(e22) = op1(e13,e10)
| ~ spl0_1
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f2689,f2995]) ).
fof(f2997,plain,
( j(e22) = e12
| ~ spl0_1
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f68,f2996]) ).
fof(f2998,plain,
( e13 = op1(j(e22),j(e21))
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f2976,f370]) ).
fof(f2999,plain,
( e13 = op1(e12,j(e21))
| ~ spl0_1
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f2997,f2998]) ).
fof(f3000,plain,
( e13 = op1(e12,e10)
| ~ spl0_1
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f2689,f2999]) ).
fof(f3001,plain,
( e13 = e11
| ~ spl0_1
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f63,f3000]) ).
fof(f3002,plain,
( $false
| ~ spl0_1
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f3001,f13]) ).
fof(f3003,plain,
( ~ spl0_1
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f3002]) ).
fof(f3009,plain,
( e20 = op2(h(e13),h(e10))
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f990,f349]) ).
fof(f3010,plain,
( e20 = h(e12)
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f349,f3009]) ).
fof(f3011,plain,
( $false
| spl0_10
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f3010,f208]) ).
fof(f3012,plain,
( spl0_10
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f3011]) ).
fof(f3017,plain,
( e23 = op2(h(e13),h(e12))
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f2799,f351]) ).
fof(f3018,plain,
( e23 = h(e10)
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f351,f3017]) ).
fof(f3047,plain,
( h(e13) = op2(h(e10),e21)
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f2536,f335]) ).
fof(f3048,plain,
( h(e13) = op2(e23,e21)
| ~ spl0_40
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f3018,f3047]) ).
fof(f3049,plain,
( h(e13) = e20
| ~ spl0_40
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f94,f3048]) ).
fof(f3050,plain,
( $false
| spl0_15
| ~ spl0_40
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f3049,f224]) ).
fof(f3051,plain,
( spl0_15
| ~ spl0_40
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f3050]) ).
fof(f3094,plain,
( j(e22) = e14
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f245,f173]) ).
fof(f3112,plain,
( j(e21) = op1(e14,e13)
| ~ spl0_22
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f3094,f1708]) ).
fof(f3113,plain,
( j(e21) = e10
| ~ spl0_22
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f76,f3112]) ).
fof(f3135,plain,
( j(e24) = op1(e13,e14)
| ~ spl0_22
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f3094,f1743]) ).
fof(f3136,plain,
( j(e24) = e11
| ~ spl0_22
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f72,f3135]) ).
fof(f3137,plain,
( e10 = op1(e13,j(e24))
| ~ spl0_22
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f3113,f1718]) ).
fof(f3138,plain,
( e10 = op1(e13,e11)
| ~ spl0_22
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f3136,f3137]) ).
fof(f3139,plain,
( e10 = e14
| ~ spl0_22
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f69,f3138]) ).
fof(f3140,plain,
( $false
| ~ spl0_22
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f3139,f11]) ).
fof(f3141,plain,
( ~ spl0_22
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f3140]) ).
fof(f3148,plain,
( j(e21) = e12
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f2835,f171]) ).
fof(f3151,plain,
( j(e22) = op1(e12,j(e20))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f3148,f364]) ).
fof(f3152,plain,
( j(e22) = op1(e12,e13)
| ~ spl0_28
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f264,f3151]) ).
fof(f3153,plain,
( j(e22) = e14
| ~ spl0_28
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f66,f3152]) ).
fof(f3177,plain,
( e12 = op1(j(e22),j(e20))
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f277,f369]) ).
fof(f3178,plain,
( e12 = op1(e14,j(e20))
| ~ spl0_28
| ~ spl0_11
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f3153,f3177]) ).
fof(f3179,plain,
( e12 = op1(e14,e13)
| ~ spl0_28
| ~ spl0_11
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f264,f3178]) ).
fof(f3180,plain,
( e12 = e10
| ~ spl0_28
| ~ spl0_11
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f76,f3179]) ).
fof(f3181,plain,
( $false
| ~ spl0_28
| ~ spl0_11
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f3180,f9]) ).
fof(f3182,plain,
( ~ spl0_28
| ~ spl0_11
| ~ spl0_32 ),
inference(contradiction_clause,[status(thm)],[f3181]) ).
fof(f3207,plain,
( e22 = h(e10)
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f357,f2317]) ).
fof(f3208,plain,
( h(e14) = op2(e22,e21)
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f210,f2316]) ).
fof(f3209,plain,
( h(e14) = e24
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f89,f3208]) ).
fof(f3212,plain,
( e21 = op2(e22,h(e14))
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f210,f2309]) ).
fof(f3213,plain,
( e21 = op2(e22,e24)
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f3209,f3212]) ).
fof(f3214,plain,
( e21 = e23
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f92,f3213]) ).
fof(f3215,plain,
( $false
| ~ spl0_11
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f3214,f23]) ).
fof(f3216,plain,
( ~ spl0_11
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f3215]) ).
fof(f3242,plain,
( j(e23) = op1(e10,e12)
| ~ spl0_11
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f3148,f2481]) ).
fof(f3243,plain,
( j(e23) = e14
| ~ spl0_11
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f55,f3242]) ).
fof(f3244,plain,
( $false
| spl0_44
| ~ spl0_11
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f3243,f316]) ).
fof(f3245,plain,
( spl0_44
| ~ spl0_11
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f3244]) ).
fof(f3255,plain,
( h(e12) = e23
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f309,f167]) ).
fof(f3256,plain,
( spl0_13
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f3255,f215,f308]) ).
fof(f3282,plain,
( j(e20) = op1(j(e23),e14)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f2456,f375]) ).
fof(f3283,plain,
( j(e20) = op1(e12,e14)
| ~ spl0_42
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f309,f3282]) ).
fof(f3284,plain,
( j(e20) = e13
| ~ spl0_42
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f67,f3283]) ).
fof(f3285,plain,
( j(e23) = op1(j(e20),e14)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f2456,f360]) ).
fof(f3286,plain,
( e12 = op1(j(e20),e14)
| ~ spl0_42
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f309,f3285]) ).
fof(f3287,plain,
( e12 = op1(e13,e14)
| ~ spl0_42
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f3284,f3286]) ).
fof(f3288,plain,
( e12 = e11
| ~ spl0_42
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f72,f3287]) ).
fof(f3289,plain,
( $false
| ~ spl0_42
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f3288,f12]) ).
fof(f3290,plain,
( ~ spl0_42
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f3289]) ).
fof(f3291,plain,
( j(e24) = e13
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f235,f172]) ).
fof(f3292,plain,
( spl0_48
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f3291,f327,f234]) ).
fof(f3293,plain,
( h(e13) = op2(h(e13),e24)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f235,f352]) ).
fof(f3309,plain,
( h(e12) = op2(e22,e24)
| ~ spl0_19
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f235,f2463]) ).
fof(f3310,plain,
( h(e12) = e23
| ~ spl0_19
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f92,f3309]) ).
fof(f3336,plain,
( j(e22) = e11
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f1584,f170]) ).
fof(f3345,plain,
( h(e10) = op2(h(e12),e22)
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f1584,f345]) ).
fof(f3346,plain,
( h(e10) = op2(e23,e22)
| ~ spl0_19
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f3310,f3345]) ).
fof(f3347,plain,
( h(e10) = e21
| ~ spl0_19
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f95,f3346]) ).
fof(f3351,plain,
( h(e13) = op2(h(e10),e22)
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f1584,f335]) ).
fof(f3352,plain,
( e24 = op2(h(e10),e22)
| ~ spl0_19
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f235,f3351]) ).
fof(f3353,plain,
( e24 = op2(e21,e22)
| ~ spl0_19
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f3347,f3352]) ).
fof(f3354,plain,
( e24 = e23
| ~ spl0_19
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f85,f3353]) ).
fof(f3355,plain,
( $false
| ~ spl0_19
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f3354,f27]) ).
fof(f3356,plain,
( ~ spl0_19
| ~ spl0_36 ),
inference(contradiction_clause,[status(thm)],[f3355]) ).
fof(f3381,plain,
( j(e20) = op1(e13,e10)
| ~ spl0_33
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f280,f1387]) ).
fof(f3382,plain,
( j(e20) = e12
| ~ spl0_33
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f68,f3381]) ).
fof(f3383,plain,
( e13 = op1(j(e20),e10)
| ~ spl0_33
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f280,f717]) ).
fof(f3384,plain,
( e13 = op1(e12,e10)
| ~ spl0_33
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f3382,f3383]) ).
fof(f3385,plain,
( e13 = e11
| ~ spl0_33
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f63,f3384]) ).
fof(f3386,plain,
( $false
| ~ spl0_33
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f3385,f13]) ).
fof(f3387,plain,
( ~ spl0_33
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f3386]) ).
fof(f3389,plain,
( h(e13) = op2(e24,e24)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f235,f3293]) ).
fof(f3390,plain,
( h(e13) = e24
| ~ spl0_19 ),
inference(forward_demodulation,[status(thm)],[f102,f3389]) ).
fof(f3420,plain,
( h(e14) = op2(e24,e20)
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f3390,f1298]) ).
fof(f3421,plain,
( h(e14) = e23
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f98,f3420]) ).
fof(f3422,plain,
( $false
| spl0_23
| ~ spl0_19
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f3421,f249]) ).
fof(f3423,plain,
( spl0_23
| ~ spl0_19
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f3422]) ).
fof(f3427,plain,
( h(e14) = e22
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f3094,f166]) ).
fof(f3445,plain,
( h(e13) = op2(e22,h(e11))
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f3207,f335]) ).
fof(f3455,plain,
( j(e22) = e10
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f3207,f169]) ).
fof(f3456,plain,
( e14 = e10
| ~ spl0_22
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f3094,f3455]) ).
fof(f3457,plain,
( $false
| ~ spl0_22
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f3456,f11]) ).
fof(f3458,plain,
( ~ spl0_22
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f3457]) ).
fof(f3460,plain,
( spl0_18
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f2754,f231,f311]) ).
fof(f3473,plain,
( j(e21) = op1(e13,e14)
| ~ spl0_22
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f3094,f953]) ).
fof(f3474,plain,
( j(e21) = e11
| ~ spl0_22
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f72,f3473]) ).
fof(f3478,plain,
( e13 = op1(j(e22),j(e20))
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f2574,f369]) ).
fof(f3479,plain,
( e13 = op1(e14,j(e20))
| ~ spl0_22
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f3094,f3478]) ).
fof(f3480,plain,
( e13 = j(e21)
| ~ spl0_39
| ~ spl0_22
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f1251,f3479]) ).
fof(f3481,plain,
( e13 = e11
| ~ spl0_43
| ~ spl0_39
| ~ spl0_22
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f3474,f3480]) ).
fof(f3482,plain,
( $false
| ~ spl0_43
| ~ spl0_39
| ~ spl0_22
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f3481,f13]) ).
fof(f3483,plain,
( ~ spl0_43
| ~ spl0_39
| ~ spl0_22
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f3482]) ).
fof(f3485,plain,
( h(e12) = op2(e20,e22)
| ~ spl0_22
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f3427,f2612]) ).
fof(f3486,plain,
( h(e12) = e24
| ~ spl0_22
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f80,f3485]) ).
fof(f3487,plain,
( e22 = op2(e20,h(e12))
| ~ spl0_22
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f3427,f2619]) ).
fof(f3488,plain,
( e22 = op2(e20,e24)
| ~ spl0_22
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f3486,f3487]) ).
fof(f3489,plain,
( e22 = e21
| ~ spl0_22
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f82,f3488]) ).
fof(f3490,plain,
( $false
| ~ spl0_22
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f3489,f22]) ).
fof(f3491,plain,
( ~ spl0_22
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f3490]) ).
fof(f3505,plain,
( j(e21) = op1(e13,e12)
| ~ spl0_43
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f2924,f1830]) ).
fof(f3506,plain,
( j(e21) = e10
| ~ spl0_43
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f70,f3505]) ).
fof(f3507,plain,
( e13 = op1(j(e21),e12)
| ~ spl0_43
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f2924,f1828]) ).
fof(f3508,plain,
( e13 = op1(e10,e12)
| ~ spl0_43
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f3506,f3507]) ).
fof(f3509,plain,
( e13 = e14
| ~ spl0_43
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f55,f3508]) ).
fof(f3510,plain,
( $false
| ~ spl0_43
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f3509,f17]) ).
fof(f3511,plain,
( ~ spl0_43
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f3510]) ).
fof(f3520,plain,
( h(e10) = op2(h(e10),e22)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f3207,f334]) ).
fof(f3521,plain,
( e22 = op2(h(e14),h(e13))
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f3207,f357]) ).
fof(f3522,plain,
( e22 = h(e10)
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f357,f3521]) ).
fof(f3525,plain,
( e10 = op1(j(e23),j(e24))
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f2311,f378]) ).
fof(f3526,plain,
( e10 = e12
| ~ spl0_37
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f1823,f3525]) ).
fof(f3527,plain,
( $false
| ~ spl0_37
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f3526,f9]) ).
fof(f3528,plain,
( ~ spl0_37
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f3527]) ).
fof(f3567,plain,
( e13 = op1(j(e23),j(e22))
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f2574,f376]) ).
fof(f3568,plain,
( e13 = j(e21)
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f376,f3567]) ).
fof(f3574,plain,
( j(e20) = op1(e13,j(e24))
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f2574,f368]) ).
fof(f3575,plain,
( j(e20) = op1(e13,e14)
| ~ spl0_24
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f2058,f3574]) ).
fof(f3576,plain,
( j(e20) = e11
| ~ spl0_24
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f72,f3575]) ).
fof(f3577,plain,
( $false
| spl0_26
| ~ spl0_24
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f3576,f259]) ).
fof(f3578,plain,
( spl0_26
| ~ spl0_24
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f3577]) ).
fof(f3611,plain,
( j(e22) = op1(e14,j(e21))
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f331,f380]) ).
fof(f3612,plain,
( j(e22) = op1(e14,e13)
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f3568,f3611]) ).
fof(f3613,plain,
( j(e22) = e10
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f76,f3612]) ).
fof(f3614,plain,
( $false
| spl0_35
| ~ spl0_33
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f3613,f288]) ).
fof(f3615,plain,
( spl0_35
| ~ spl0_33
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f3614]) ).
fof(f3626,plain,
( j(e24) = op1(e11,e14)
| ~ spl0_5
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f1292,f1287]) ).
fof(f3627,plain,
( j(e24) = e10
| ~ spl0_5
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f62,f3626]) ).
fof(f3630,plain,
( h(e10) = op2(e20,e22)
| ~ spl0_39
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f1312,f1286]) ).
fof(f3631,plain,
( h(e10) = e24
| ~ spl0_39
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f80,f3630]) ).
fof(f3632,plain,
( $false
| spl0_4
| ~ spl0_39
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f3631,f188]) ).
fof(f3633,plain,
( spl0_4
| ~ spl0_39
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f3632]) ).
fof(f3664,plain,
( j(e23) = op1(e10,e11)
| ~ spl0_5
| ~ spl0_39
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f3627,f2127]) ).
fof(f3665,plain,
( j(e23) = e13
| ~ spl0_5
| ~ spl0_39
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f54,f3664]) ).
fof(f3666,plain,
( e10 = op1(j(e23),e11)
| ~ spl0_5
| ~ spl0_39
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f3627,f2125]) ).
fof(f3667,plain,
( e10 = op1(e13,e11)
| ~ spl0_5
| ~ spl0_39
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f3665,f3666]) ).
fof(f3668,plain,
( e10 = e14
| ~ spl0_5
| ~ spl0_39
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f69,f3667]) ).
fof(f3669,plain,
( $false
| ~ spl0_5
| ~ spl0_39
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f3668,f11]) ).
fof(f3670,plain,
( ~ spl0_5
| ~ spl0_39
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f3669]) ).
fof(f3682,plain,
( e20 = op2(e23,e24)
| ~ spl0_0
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f1527,f1522]) ).
fof(f3683,plain,
( e20 = e22
| ~ spl0_0
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f97,f3682]) ).
fof(f3684,plain,
( $false
| ~ spl0_0
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f3683,f19]) ).
fof(f3685,plain,
( ~ spl0_0
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f3684]) ).
fof(f3708,plain,
( j(e23) = op1(e13,e11)
| ~ spl0_36
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f3336,f1612]) ).
fof(f3709,plain,
( j(e23) = e14
| ~ spl0_36
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f69,f3708]) ).
fof(f3711,plain,
( j(e24) = op1(e13,e14)
| ~ spl0_36
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f3709,f1351]) ).
fof(f3712,plain,
( j(e24) = e11
| ~ spl0_36
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f72,f3711]) ).
fof(f3713,plain,
( $false
| spl0_46
| ~ spl0_36
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f3712,f323]) ).
fof(f3714,plain,
( spl0_46
| ~ spl0_36
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f3713]) ).
fof(f3719,plain,
( h(e10) = op2(e22,e22)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f3522,f3520]) ).
fof(f3720,plain,
( h(e10) = e22
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f90,f3719]) ).
fof(f3746,plain,
( j(e23) = op1(e14,j(e22))
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f2456,f366]) ).
fof(f3747,plain,
( j(e23) = op1(e14,e10)
| ~ spl0_2
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f2311,f3746]) ).
fof(f3748,plain,
( j(e23) = e13
| ~ spl0_2
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f73,f3747]) ).
fof(f3749,plain,
( e14 = op1(j(e23),j(e22))
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f2456,f376]) ).
fof(f3750,plain,
( e14 = op1(e13,j(e22))
| ~ spl0_2
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f3748,f3749]) ).
fof(f3751,plain,
( e14 = op1(e13,e10)
| ~ spl0_2
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f2311,f3750]) ).
fof(f3752,plain,
( e14 = e12
| ~ spl0_2
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f68,f3751]) ).
fof(f3753,plain,
( $false
| ~ spl0_2
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f3752,f16]) ).
fof(f3754,plain,
( ~ spl0_2
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f3753]) ).
fof(f3829,plain,
( spl0_27
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f603,f260,f206]) ).
fof(f3830,plain,
( h(e14) = op2(e22,e20)
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f3720,f846]) ).
fof(f3831,plain,
( h(e14) = e21
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f88,f3830]) ).
fof(f3840,plain,
( h(e11) = op2(e20,e22)
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f3720,f850]) ).
fof(f3841,plain,
( h(e11) = e24
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f80,f3840]) ).
fof(f3849,plain,
( e24 = op2(h(e14),e20)
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f3841,f918]) ).
fof(f3850,plain,
( e24 = op2(e21,e20)
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f3831,f3849]) ).
fof(f3851,plain,
( e24 = e22
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f83,f3850]) ).
fof(f3852,plain,
( $false
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f3851,f26]) ).
fof(f3853,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f3852]) ).
fof(f3854,plain,
( j(e24) = e11
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f203,f170]) ).
fof(f3855,plain,
( spl0_46
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f3854,f321,f202]) ).
fof(f3869,plain,
( h(e13) = op2(e22,e24)
| ~ spl0_9
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f203,f3445]) ).
fof(f3870,plain,
( h(e13) = e23
| ~ spl0_9
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f92,f3869]) ).
fof(f3871,plain,
( $false
| spl0_18
| ~ spl0_9
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f3870,f233]) ).
fof(f3872,plain,
( spl0_18
| ~ spl0_9
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f3871]) ).
fof(f3873,plain,
$false,
inference(sat_refutation,[status(thm)],[f189,f205,f221,f237,f253,f269,f285,f301,f317,f333,f386,f389,f392,f395,f404,f407,f413,f419,f422,f425,f428,f431,f434,f483,f522,f606,f633,f639,f642,f645,f662,f671,f680,f698,f704,f728,f755,f762,f788,f792,f804,f845,f869,f877,f888,f910,f936,f944,f961,f966,f984,f1019,f1025,f1032,f1038,f1046,f1056,f1062,f1084,f1124,f1130,f1137,f1140,f1178,f1185,f1208,f1213,f1237,f1239,f1249,f1327,f1355,f1360,f1363,f1380,f1449,f1479,f1571,f1604,f1624,f1701,f1707,f1716,f1774,f1779,f1799,f1812,f1854,f1871,f1882,f1930,f1949,f1990,f2046,f2047,f2106,f2131,f2141,f2151,f2210,f2225,f2229,f2248,f2252,f2277,f2294,f2325,f2335,f2345,f2395,f2408,f2434,f2444,f2520,f2571,f2637,f2684,f2748,f2759,f2777,f2869,f2885,f2930,f2965,f3003,f3012,f3051,f3141,f3182,f3216,f3245,f3256,f3290,f3292,f3356,f3387,f3423,f3458,f3460,f3483,f3491,f3511,f3528,f3578,f3615,f3633,f3670,f3685,f3714,f3754,f3829,f3853,f3855,f3872]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : ALG185+1 : TPTP v8.1.2. Released v2.7.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31 % Computer : n013.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Apr 29 23:31:04 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.32 % Drodi V3.6.0
% 1.87/0.60 % Refutation found
% 1.87/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.87/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.87/0.63 % Elapsed time: 0.296694 seconds
% 1.87/0.63 % CPU time: 2.157973 seconds
% 1.87/0.63 % Total memory used: 38.707 MB
% 1.87/0.63 % Net memory used: 37.307 MB
%------------------------------------------------------------------------------