TSTP Solution File: ALG084+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG084+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:09:27 EDT 2024
% Result : Theorem 0.16s 0.42s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 45
% Syntax : Number of formulae : 353 ( 71 unt; 0 def)
% Number of atoms : 1089 ( 681 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 1056 ( 320 ~; 423 |; 271 &)
% ( 40 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 42 ( 40 usr; 41 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) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e10,e14) = e14
& op1(e11,e10) = e11
& op1(e11,e11) = e14
& op1(e11,e12) = e10
& op1(e11,e13) = e12
& op1(e11,e14) = e13
& op1(e12,e10) = e12
& op1(e12,e11) = e10
& op1(e12,e12) = e13
& op1(e12,e13) = e14
& op1(e12,e14) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e14
& op1(e13,e13) = e11
& op1(e13,e14) = e10
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e10
& op1(e14,e14) = e12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e20,e24) = e24
& op2(e21,e20) = e21
& op2(e21,e21) = e22
& op2(e21,e22) = e23
& op2(e21,e23) = e24
& op2(e21,e24) = e20
& op2(e22,e20) = e22
& op2(e22,e21) = e24
& op2(e22,e22) = e21
& op2(e22,e23) = e20
& op2(e22,e24) = e23
& op2(e23,e20) = e23
& op2(e23,e21) = e20
& op2(e23,e22) = e24
& op2(e23,e23) = e21
& op2(e23,e24) = e22
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e20
& op2(e24,e23) = e22
& op2(e24,e24) = e21 ),
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(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(f17,plain,
e13 != e14,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f18,plain,
e20 != e21,
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(f27,plain,
e23 != e24,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f53,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f55,plain,
op1(e10,e12) = e12,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f58,plain,
op1(e11,e10) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f59,plain,
op1(e11,e11) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e13,
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) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f71,plain,
op1(e13,e13) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f72,plain,
op1(e13,e14) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f77,plain,
op1(e14,e14) = e12,
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) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f84,plain,
op2(e21,e21) = e22,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f86,plain,
op2(e21,e23) = e24,
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) = e21,
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) = e24,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f102,plain,
op2(e24,e24) = e21,
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(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(f116,plain,
h(op1(e10,e12)) = op2(h(e10),h(e12)),
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(f126,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
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(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(f138,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
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(f155,plain,
j(op2(e23,e21)) = op1(j(e23),j(e21)),
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(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(f179,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(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(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(f195,plain,
( h(e11) != e21
| spl0_6 ),
inference(component_clause,[status(thm)],[f193]) ).
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(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(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(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(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(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(f243,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(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(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(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(f278,plain,
( j(e21) != e12
| spl0_32 ),
inference(component_clause,[status(thm)],[f276]) ).
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(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(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(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(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(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(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(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(f335,plain,
( e13 = e14
| ~ spl0_48
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f328,f331]) ).
fof(f336,plain,
( $false
| ~ spl0_48
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f335,f17]) ).
fof(f337,plain,
( ~ spl0_48
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f336]) ).
fof(f341,plain,
( h(e14) = e23
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f315,f167]) ).
fof(f349,plain,
( e13 = e14
| ~ spl0_38
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f296,f299]) ).
fof(f350,plain,
( $false
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f349,f17]) ).
fof(f351,plain,
( ~ spl0_38
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f350]) ).
fof(f359,plain,
( e11 = e12
| ~ spl0_31
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f274,f277]) ).
fof(f360,plain,
( $false
| ~ spl0_31
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f359,f12]) ).
fof(f361,plain,
( ~ spl0_31
| ~ spl0_32 ),
inference(contradiction_clause,[status(thm)],[f360]) ).
fof(f362,plain,
( h(e14) = e20
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f267,f164]) ).
fof(f381,plain,
( j(e24) = e12
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f219,f171]) ).
fof(f385,plain,
( j(e20) = e13
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f223,f172]) ).
fof(f386,plain,
( e10 = e13
| ~ spl0_25
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f255,f385]) ).
fof(f387,plain,
( $false
| ~ spl0_25
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f10]) ).
fof(f388,plain,
( ~ spl0_25
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( j(e20) = e14
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f239,f173]) ).
fof(f391,plain,
h(e10) = op2(h(e10),h(e10)),
inference(backward_demodulation,[status(thm)],[f53,f114]) ).
fof(f401,plain,
( e23 = e24
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f200,f203]) ).
fof(f402,plain,
( $false
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f401,f27]) ).
fof(f403,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f402]) ).
fof(f438,plain,
( e20 = e21
| ~ spl0_0
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f175,f178]) ).
fof(f439,plain,
( $false
| ~ spl0_0
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f438,f18]) ).
fof(f440,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( j(e20) = e10
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f175,f169]) ).
fof(f453,plain,
( e10 = e14
| ~ spl0_25
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f255,f390]) ).
fof(f454,plain,
( $false
| ~ spl0_25
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f453,f11]) ).
fof(f455,plain,
( ~ spl0_25
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f454]) ).
fof(f465,plain,
( h(e10) = e23
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f303,f167]) ).
fof(f466,plain,
( h(e10) = e22
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f287,f166]) ).
fof(f472,plain,
( spl0_3
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f465,f183,f302]) ).
fof(f475,plain,
( h(e10) = e21
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f271,f165]) ).
fof(f476,plain,
h(e12) = op2(h(e10),h(e12)),
inference(forward_demodulation,[status(thm)],[f55,f116]) ).
fof(f477,plain,
( h(e12) = op2(e21,h(e12))
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f475,f476]) ).
fof(f480,plain,
( e21 != e21
| ~ spl0_30
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f475,f179]) ).
fof(f481,plain,
( $false
| ~ spl0_30
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f480]) ).
fof(f482,plain,
( ~ spl0_30
| spl0_1 ),
inference(contradiction_clause,[status(thm)],[f481]) ).
fof(f483,plain,
( spl0_25
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f442,f254,f174]) ).
fof(f484,plain,
( spl0_2
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f466,f180,f286]) ).
fof(f492,plain,
( j(e21) = e10
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f178,f169]) ).
fof(f493,plain,
( spl0_30
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f492,f270,f177]) ).
fof(f494,plain,
( spl0_47
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f381,f324,f218]) ).
fof(f512,plain,
( j(e22) = e13
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f229,f172]) ).
fof(f516,plain,
( j(e20) = e11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f191,f170]) ).
fof(f517,plain,
( e10 = e11
| ~ spl0_25
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f255,f516]) ).
fof(f518,plain,
( $false
| ~ spl0_25
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f517,f8]) ).
fof(f519,plain,
( ~ spl0_25
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f518]) ).
fof(f530,plain,
h(e11) = op2(h(e11),h(e10)),
inference(forward_demodulation,[status(thm)],[f58,f119]) ).
fof(f531,plain,
( e20 = op2(h(e11),h(e10))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f191,f530]) ).
fof(f532,plain,
( e20 = op2(e20,h(e10))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f191,f531]) ).
fof(f535,plain,
h(e14) = op2(h(e11),h(e11)),
inference(forward_demodulation,[status(thm)],[f59,f120]) ).
fof(f556,plain,
( spl0_38
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f512,f295,f228]) ).
fof(f569,plain,
( h(e10) = op2(h(e10),e23)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f184,f391]) ).
fof(f570,plain,
( e23 = op2(h(e10),e23)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f184,f569]) ).
fof(f571,plain,
( e23 = op2(e23,e23)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f184,f570]) ).
fof(f572,plain,
( e23 = e21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f96,f571]) ).
fof(f573,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f572,f23]) ).
fof(f574,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f573]) ).
fof(f577,plain,
( h(e11) = e20
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f258,f164]) ).
fof(f578,plain,
( spl0_5
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f577,f190,f257]) ).
fof(f588,plain,
( h(e11) = e21
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f274,f165]) ).
fof(f589,plain,
( spl0_6
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f588,f193,f273]) ).
fof(f594,plain,
( j(e21) = e14
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f242,f173]) ).
fof(f595,plain,
( spl0_34
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f594,f282,f241]) ).
fof(f606,plain,
( h(e12) = e23
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f309,f167]) ).
fof(f610,plain,
h(e13) = op2(h(e12),h(e12)),
inference(forward_demodulation,[status(thm)],[f65,f126]) ).
fof(f618,plain,
h(e11) = op2(h(e12),h(e14)),
inference(forward_demodulation,[status(thm)],[f67,f128]) ).
fof(f621,plain,
( e22 = op2(h(e10),h(e10))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f181,f391]) ).
fof(f622,plain,
( e22 = op2(e22,h(e10))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f181,f621]) ).
fof(f623,plain,
( e22 = op2(e22,e22)
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f181,f622]) ).
fof(f624,plain,
( e22 = e21
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f90,f623]) ).
fof(f625,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f624,f22]) ).
fof(f626,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f625]) ).
fof(f637,plain,
( h(e14) = op2(h(e11),e24)
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f203,f535]) ).
fof(f638,plain,
( h(e14) = op2(e24,e24)
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f203,f637]) ).
fof(f639,plain,
( h(e14) = e21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f102,f638]) ).
fof(f657,plain,
( h(e13) = op2(h(e12),e21)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f210,f610]) ).
fof(f658,plain,
( h(e13) = op2(e21,e21)
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f210,f657]) ).
fof(f659,plain,
( h(e13) = e22
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f84,f658]) ).
fof(f660,plain,
( $false
| spl0_17
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f659,f230]) ).
fof(f661,plain,
( spl0_17
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f660]) ).
fof(f667,plain,
( j(e22) = e14
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f245,f173]) ).
fof(f668,plain,
( spl0_39
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f667,f298,f244]) ).
fof(f671,plain,
( spl0_20
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f362,f238,f266]) ).
fof(f678,plain,
( j(e21) = e10
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f178,f169]) ).
fof(f692,plain,
( e23 = op2(e21,h(e12))
| ~ spl0_42
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f606,f477]) ).
fof(f693,plain,
( e23 = op2(e21,e23)
| ~ spl0_42
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f606,f692]) ).
fof(f694,plain,
( e23 = e24
| ~ spl0_42
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f693,f86]) ).
fof(f695,plain,
( $false
| ~ spl0_42
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f694,f27]) ).
fof(f696,plain,
( ~ spl0_42
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f695]) ).
fof(f697,plain,
( e20 = op2(e20,e21)
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f178,f532]) ).
fof(f698,plain,
( e20 = e21
| ~ spl0_1
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f697,f79]) ).
fof(f699,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f698,f18]) ).
fof(f700,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f699]) ).
fof(f701,plain,
h(e11) = op2(h(e13),h(e13)),
inference(forward_demodulation,[status(thm)],[f71,f132]) ).
fof(f702,plain,
h(e10) = op2(h(e13),h(e14)),
inference(forward_demodulation,[status(thm)],[f72,f133]) ).
fof(f707,plain,
h(e12) = op2(h(e14),h(e14)),
inference(forward_demodulation,[status(thm)],[f77,f138]) ).
fof(f712,plain,
( h(e14) = e21
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f283,f165]) ).
fof(f713,plain,
( h(e10) = e24
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f319,f168]) ).
fof(f714,plain,
( spl0_4
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f713,f186,f318]) ).
fof(f739,plain,
( h(e11) = e24
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f322,f168]) ).
fof(f740,plain,
( spl0_9
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f739,f202,f321]) ).
fof(f755,plain,
( h(e11) = e23
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f306,f167]) ).
fof(f756,plain,
( spl0_8
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f755,f199,f305]) ).
fof(f766,plain,
( h(e11) = op2(h(e13),e23)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f232,f701]) ).
fof(f767,plain,
( h(e11) = op2(e23,e23)
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f232,f766]) ).
fof(f768,plain,
( h(e11) = e21
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f96,f767]) ).
fof(f769,plain,
( $false
| spl0_6
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f768,f195]) ).
fof(f770,plain,
( spl0_6
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f769]) ).
fof(f778,plain,
( h(e10) = e20
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f255,f164]) ).
fof(f778_001,plain,
( h(e10) = e20
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f255,f164]) ).
fof(f799,plain,
( h(e12) = op2(e21,h(e14))
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f242,f707]) ).
fof(f800,plain,
( h(e12) = op2(e21,e21)
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f242,f799]) ).
fof(f801,plain,
( h(e12) = e22
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f84,f800]) ).
fof(f850,plain,
j(e21) = op1(j(e22),j(e22)),
inference(forward_demodulation,[status(thm)],[f90,f151]) ).
fof(f863,plain,
( j(e21) = e14
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f639,f173]) ).
fof(f864,plain,
( spl0_34
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f863,f282,f202]) ).
fof(f871,plain,
( h(e13) = e23
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f312,f167]) ).
fof(f872,plain,
( spl0_18
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f871,f231,f311]) ).
fof(f881,plain,
( j(e21) = op1(j(e22),e13)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f296,f850]) ).
fof(f882,plain,
( j(e21) = op1(e13,e13)
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f296,f881]) ).
fof(f883,plain,
( j(e21) = e11
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f71,f882]) ).
fof(f946,plain,
j(e20) = op1(j(e23),j(e21)),
inference(forward_demodulation,[status(thm)],[f94,f155]) ).
fof(f947,plain,
( j(e20) = op1(e12,j(e21))
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f309,f946]) ).
fof(f957,plain,
j(e21) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f96,f157]) ).
fof(f958,plain,
( j(e21) = op1(e12,j(e23))
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f309,f957]) ).
fof(f959,plain,
( j(e21) = op1(e12,e12)
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f309,f958]) ).
fof(f960,plain,
( j(e21) = e13
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f65,f959]) ).
fof(f966,plain,
( j(e20) = op1(e12,e13)
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f960,f947]) ).
fof(f967,plain,
( j(e20) = e14
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f66,f966]) ).
fof(f968,plain,
( $false
| spl0_29
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f967,f268]) ).
fof(f969,plain,
( spl0_29
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f968]) ).
fof(f993,plain,
( h(e14) = op2(h(e11),e21)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f194,f535]) ).
fof(f994,plain,
( h(e14) = op2(e21,e21)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f194,f993]) ).
fof(f995,plain,
( h(e14) = e22
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f84,f994]) ).
fof(f1022,plain,
( j(e21) = e11
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f194,f170]) ).
fof(f1023,plain,
( spl0_31
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f1022,f273,f193]) ).
fof(f1027,plain,
( spl0_31
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f883,f273,f295]) ).
fof(f1048,plain,
( h(e13) = e23
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f312,f167]) ).
fof(f1050,plain,
( j(e22) = e14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f995,f173]) ).
fof(f1086,plain,
( e20 = op2(h(e13),h(e14))
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f778,f702]) ).
fof(f1087,plain,
( e20 = op2(e23,h(e14))
| ~ spl0_43
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f1048,f1086]) ).
fof(f1088,plain,
( e20 = op2(e23,e22)
| ~ spl0_6
| ~ spl0_43
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f995,f1087]) ).
fof(f1089,plain,
( e20 = e24
| ~ spl0_6
| ~ spl0_43
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f1088,f95]) ).
fof(f1090,plain,
( $false
| ~ spl0_6
| ~ spl0_43
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f1089,f21]) ).
fof(f1091,plain,
( ~ spl0_6
| ~ spl0_43
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f1090]) ).
fof(f1092,plain,
( e22 != e22
| ~ spl0_6
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f995,f246]) ).
fof(f1093,plain,
( $false
| ~ spl0_6
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f1092]) ).
fof(f1094,plain,
( ~ spl0_6
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f1093]) ).
fof(f1095,plain,
j(e21) = op1(j(e24),j(e24)),
inference(forward_demodulation,[status(thm)],[f102,f163]) ).
fof(f1105,plain,
( j(e21) = op1(j(e24),e12)
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f325,f1095]) ).
fof(f1106,plain,
( j(e21) = op1(e12,e12)
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f325,f1105]) ).
fof(f1107,plain,
( j(e21) = e13
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f65,f1106]) ).
fof(f1122,plain,
( j(e21) = e10
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f178,f169]) ).
fof(f1141,plain,
( j(e23) = e12
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f216,f171]) ).
fof(f1164,plain,
( j(e21) = op1(j(e22),e14)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f1050,f850]) ).
fof(f1165,plain,
( j(e21) = op1(e14,e14)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1050,f1164]) ).
fof(f1166,plain,
( j(e21) = e12
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f77,f1165]) ).
fof(f1167,plain,
( $false
| spl0_32
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f1166,f278]) ).
fof(f1168,plain,
( spl0_32
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f1167]) ).
fof(f1197,plain,
( e10 = e13
| ~ spl0_1
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f1122,f1107]) ).
fof(f1198,plain,
( $false
| ~ spl0_1
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1197,f10]) ).
fof(f1199,plain,
( ~ spl0_1
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f1198]) ).
fof(f1235,plain,
( spl0_42
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1141,f308,f215]) ).
fof(f1237,plain,
( spl0_23
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f341,f247,f314]) ).
fof(f1241,plain,
( spl0_0
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f778,f174,f254]) ).
fof(f1253,plain,
( h(e14) = op2(e23,h(e11))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f200,f535]) ).
fof(f1254,plain,
( h(e14) = op2(e23,e23)
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f200,f1253]) ).
fof(f1255,plain,
( h(e14) = e21
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f96,f1254]) ).
fof(f1256,plain,
( $false
| spl0_21
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f1255,f243]) ).
fof(f1257,plain,
( spl0_21
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f1256]) ).
fof(f1264,plain,
( h(e12) = op2(h(e14),e23)
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f248,f707]) ).
fof(f1265,plain,
( h(e12) = op2(e23,e23)
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f248,f1264]) ).
fof(f1266,plain,
( h(e12) = e21
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f96,f1265]) ).
fof(f1267,plain,
( $false
| spl0_11
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1266,f211]) ).
fof(f1268,plain,
( spl0_11
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f1267]) ).
fof(f1287,plain,
( h(e10) = op2(h(e10),e24)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f187,f391]) ).
fof(f1288,plain,
( e24 = op2(h(e10),e24)
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f187,f1287]) ).
fof(f1289,plain,
( e24 = op2(e24,e24)
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f187,f1288]) ).
fof(f1290,plain,
( e24 = e21
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f102,f1289]) ).
fof(f1291,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f1290,f24]) ).
fof(f1292,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f1291]) ).
fof(f1295,plain,
( h(e11) = op2(h(e13),e20)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f223,f701]) ).
fof(f1296,plain,
( h(e11) = op2(e20,e20)
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f223,f1295]) ).
fof(f1297,plain,
( h(e11) = e20
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f78,f1296]) ).
fof(f1298,plain,
( $false
| spl0_5
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1297,f192]) ).
fof(f1299,plain,
( spl0_5
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1298]) ).
fof(f1311,plain,
( e10 = e14
| ~ spl0_1
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f678,f283]) ).
fof(f1312,plain,
( $false
| ~ spl0_1
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f1311,f11]) ).
fof(f1313,plain,
( ~ spl0_1
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f1312]) ).
fof(f1342,plain,
( h(e11) = op2(e22,h(e14))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f213,f618]) ).
fof(f1343,plain,
( h(e11) = op2(e22,e21)
| ~ spl0_34
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f712,f1342]) ).
fof(f1344,plain,
( h(e11) = e24
| ~ spl0_34
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f89,f1343]) ).
fof(f1347,plain,
( j(e24) = e11
| ~ spl0_34
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f1344,f170]) ).
fof(f1348,plain,
( spl0_46
| ~ spl0_34
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1347,f321,f282,f212]) ).
fof(f1352,plain,
( spl0_12
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f801,f212,f241]) ).
fof(f1359,plain,
$false,
inference(sat_refutation,[status(thm)],[f189,f317,f333,f337,f351,f361,f388,f403,f440,f455,f472,f482,f483,f484,f493,f494,f519,f556,f574,f578,f589,f595,f626,f661,f668,f671,f696,f700,f714,f740,f756,f770,f864,f872,f969,f1023,f1027,f1091,f1094,f1168,f1199,f1235,f1237,f1241,f1257,f1268,f1292,f1299,f1313,f1348,f1352]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG084+1 : TPTP v8.1.2. Released v2.7.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Mon Apr 29 23:26:56 EDT 2024
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % Drodi V3.6.0
% 0.16/0.42 % Refutation found
% 0.16/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.43 % Elapsed time: 0.110563 seconds
% 0.16/0.43 % CPU time: 0.768419 seconds
% 0.16/0.43 % Total memory used: 22.472 MB
% 0.16/0.43 % Net memory used: 21.806 MB
%------------------------------------------------------------------------------