TSTP Solution File: ALG081+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG081+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 0.40s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 40
% Syntax : Number of formulae : 259 ( 50 unt; 0 def)
% Number of atoms : 894 ( 603 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 858 ( 223 ~; 327 |; 271 &)
% ( 35 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 37 ( 35 usr; 36 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/sandbox2/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/sandbox2/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) = e12
& op1(e11,e12) = e13
& op1(e11,e13) = e14
& op1(e11,e14) = e10
& op1(e12,e10) = e12
& op1(e12,e11) = e14
& op1(e12,e12) = e11
& op1(e12,e13) = e10
& op1(e12,e14) = e13
& op1(e13,e10) = e13
& op1(e13,e11) = e10
& op1(e13,e12) = e14
& op1(e13,e13) = e11
& op1(e13,e14) = e12
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e10
& op1(e14,e13) = e12
& op1(e14,e14) = e11 ),
file('/export/starexec/sandbox2/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) = e24
& op2(e21,e23) = e20
& op2(e21,e24) = e23
& op2(e22,e20) = e22
& op2(e22,e21) = e20
& op2(e22,e22) = e23
& op2(e22,e23) = e24
& op2(e22,e24) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e24
& op2(e23,e22) = e20
& op2(e23,e23) = e21
& op2(e23,e24) = e22
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e21
& op2(e24,e23) = e22
& op2(e24,e24) = e20 ),
file('/export/starexec/sandbox2/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/sandbox2/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(f12,plain,
e11 != e12,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
e12 != e14,
inference(cnf_transformation,[status(esa)],[f1]) ).
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(f53,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f59,plain,
op1(e11,e11) = e12,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f60,plain,
op1(e11,e12) = e13,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f62,plain,
op1(e11,e14) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f71,plain,
op1(e13,e13) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f77,plain,
op1(e14,e14) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f78,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f84,plain,
op2(e21,e21) = e22,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f89,plain,
op2(e22,e21) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f90,plain,
op2(e22,e22) = e23,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f99,plain,
op2(e24,e21) = e23,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f102,plain,
op2(e24,e24) = e20,
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(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(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(f123,plain,
h(op1(e11,e14)) = op2(h(e11),h(e14)),
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(f132,plain,
h(op1(e13,e13)) = op2(h(e13),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(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(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(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(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(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(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(f224,plain,
( h(e13) != e20
| spl0_15 ),
inference(component_clause,[status(thm)],[f222]) ).
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(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(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(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(f270,plain,
( spl0_30
<=> j(e21) = e10 ),
introduced(split_symbol_definition) ).
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(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(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(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(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(f334,plain,
( h(e14) = e24
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f331,f168]) ).
fof(f355,plain,
( h(e14) = e21
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f283,f165]) ).
fof(f362,plain,
( h(e14) = e20
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f267,f164]) ).
fof(f366,plain,
( e11 = e12
| ~ spl0_26
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f258,f261]) ).
fof(f367,plain,
( $false
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f366,f12]) ).
fof(f368,plain,
( ~ spl0_26
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f367]) ).
fof(f372,plain,
( e21 = e22
| ~ spl0_21
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f242,f245]) ).
fof(f373,plain,
( $false
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f372,f22]) ).
fof(f374,plain,
( ~ spl0_21
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f373]) ).
fof(f385,plain,
( j(e20) = e13
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f223,f172]) ).
fof(f389,plain,
( spl0_28
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f385,f263,f222]) ).
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(f408,plain,
( e21 = e22
| ~ spl0_6
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f194,f197]) ).
fof(f409,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f408,f22]) ).
fof(f410,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f409]) ).
fof(f442,plain,
( j(e20) = e10
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f175,f169]) ).
fof(f461,plain,
( h(e12) = e24
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f325,f168]) ).
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(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(f489,plain,
( e12 = e14
| ~ spl0_27
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f261,f390]) ).
fof(f490,plain,
( $false
| ~ spl0_27
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f16]) ).
fof(f491,plain,
( ~ spl0_27
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f490]) ).
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(f516,plain,
( j(e20) = e11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f191,f170]) ).
fof(f516_001,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(f521,plain,
( h(e12) = e21
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f277,f165]) ).
fof(f522,plain,
( $false
| spl0_11
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f521,f211]) ).
fof(f523,plain,
( spl0_11
| ~ spl0_32 ),
inference(contradiction_clause,[status(thm)],[f522]) ).
fof(f535,plain,
h(e12) = op2(h(e11),h(e11)),
inference(forward_demodulation,[status(thm)],[f59,f120]) ).
fof(f536,plain,
( h(e12) = op2(e20,h(e11))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f191,f535]) ).
fof(f537,plain,
( h(e12) = op2(e20,e20)
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f191,f536]) ).
fof(f538,plain,
( h(e12) = e20
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f78,f537]) ).
fof(f541,plain,
( j(e20) = e12
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f538,f171]) ).
fof(f542,plain,
( spl0_27
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f541,f260,f190]) ).
fof(f547,plain,
h(e13) = op2(h(e11),h(e12)),
inference(forward_demodulation,[status(thm)],[f60,f121]) ).
fof(f550,plain,
h(e10) = op2(h(e11),h(e14)),
inference(forward_demodulation,[status(thm)],[f62,f123]) ).
fof(f555,plain,
h(e11) = op2(h(e12),h(e12)),
inference(forward_demodulation,[status(thm)],[f65,f126]) ).
fof(f578,plain,
( h(e10) = op2(h(e10),e23)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f184,f391]) ).
fof(f579,plain,
( e23 = op2(h(e10),e23)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f184,f578]) ).
fof(f580,plain,
( e23 = op2(e23,e23)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f184,f579]) ).
fof(f581,plain,
( e23 = e21
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f96,f580]) ).
fof(f582,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f581,f23]) ).
fof(f583,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f582]) ).
fof(f594,plain,
( h(e11) = e21
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f274,f165]) ).
fof(f595,plain,
( spl0_6
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f594,f193,f273]) ).
fof(f604,plain,
( h(e12) = e20
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f261,f164]) ).
fof(f605,plain,
( spl0_10
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f604,f206,f260]) ).
fof(f625,plain,
( h(e10) = op2(e24,h(e14))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f203,f550]) ).
fof(f626,plain,
( h(e10) = op2(e24,e21)
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f242,f625]) ).
fof(f627,plain,
( h(e10) = e23
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f99,f626]) ).
fof(f630,plain,
( j(e23) = e10
| ~ spl0_21
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f627,f169]) ).
fof(f631,plain,
( spl0_40
| ~ spl0_21
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f630,f302,f241,f202]) ).
fof(f648,plain,
( h(e12) = op2(e24,h(e11))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f203,f535]) ).
fof(f649,plain,
( h(e12) = op2(e24,e24)
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f203,f648]) ).
fof(f650,plain,
( h(e12) = e20
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f102,f649]) ).
fof(f651,plain,
( $false
| spl0_10
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f650,f208]) ).
fof(f652,plain,
( spl0_10
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f651]) ).
fof(f656,plain,
h(e11) = op2(h(e13),h(e13)),
inference(forward_demodulation,[status(thm)],[f71,f132]) ).
fof(f664,plain,
( h(e11) = op2(h(e12),e21)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f210,f555]) ).
fof(f665,plain,
( h(e11) = op2(e21,e21)
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f210,f664]) ).
fof(f666,plain,
( h(e11) = e22
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f84,f665]) ).
fof(f678,plain,
( h(e11) = op2(h(e13),e20)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f223,f656]) ).
fof(f679,plain,
( h(e11) = op2(e20,e20)
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f223,f678]) ).
fof(f680,plain,
( h(e11) = e20
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f78,f679]) ).
fof(f681,plain,
( $false
| spl0_5
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f680,f192]) ).
fof(f682,plain,
( spl0_5
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f681]) ).
fof(f683,plain,
( spl0_20
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f362,f238,f266]) ).
fof(f684,plain,
( h(e10) = op2(h(e10),e24)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f187,f391]) ).
fof(f685,plain,
( e24 = op2(h(e10),e24)
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f187,f684]) ).
fof(f686,plain,
( e24 = op2(e24,e24)
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f187,f685]) ).
fof(f687,plain,
( e24 = e20
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f102,f686]) ).
fof(f688,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f687,f21]) ).
fof(f689,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f688]) ).
fof(f690,plain,
( h(e10) = e24
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f319,f168]) ).
fof(f691,plain,
( spl0_4
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f690,f186,f318]) ).
fof(f692,plain,
( spl0_14
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f461,f218,f324]) ).
fof(f693,plain,
( h(e11) = e24
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f322,f168]) ).
fof(f694,plain,
( spl0_9
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f693,f202,f321]) ).
fof(f714,plain,
( h(e13) = e20
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f264,f164]) ).
fof(f715,plain,
( spl0_15
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f714,f222,f263]) ).
fof(f728,plain,
( spl0_26
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f516,f257,f190]) ).
fof(f746,plain,
( e22 = op2(h(e10),h(e10))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f181,f391]) ).
fof(f747,plain,
( e22 = op2(e22,h(e10))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f181,f746]) ).
fof(f748,plain,
( e22 = op2(e22,e22)
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f181,f747]) ).
fof(f749,plain,
( e22 = e23
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f748,f90]) ).
fof(f750,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f25]) ).
fof(f751,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f750]) ).
fof(f754,plain,
h(e11) = op2(h(e14),h(e14)),
inference(forward_demodulation,[status(thm)],[f77,f138]) ).
fof(f768,plain,
( h(e11) = op2(h(e12),e24)
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f219,f555]) ).
fof(f769,plain,
( h(e11) = op2(e24,e24)
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f219,f768]) ).
fof(f770,plain,
( h(e11) = e20
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f102,f769]) ).
fof(f777,plain,
( h(e11) = op2(h(e14),e23)
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f248,f754]) ).
fof(f778,plain,
( h(e11) = op2(e23,e23)
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f248,f777]) ).
fof(f779,plain,
( h(e11) = e21
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f96,f778]) ).
fof(f804,plain,
( $false
| spl0_5
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f770,f192]) ).
fof(f805,plain,
( spl0_5
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f804]) ).
fof(f848,plain,
( spl0_7
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f666,f196,f209]) ).
fof(f898,plain,
( h(e13) = e24
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f328,f168]) ).
fof(f929,plain,
( h(e11) = op2(h(e12),e20)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f207,f555]) ).
fof(f930,plain,
( h(e11) = op2(e20,e20)
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f207,f929]) ).
fof(f931,plain,
( h(e11) = e20
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f78,f930]) ).
fof(f932,plain,
( $false
| spl0_5
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f931,f192]) ).
fof(f933,plain,
( spl0_5
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f932]) ).
fof(f948,plain,
( spl0_6
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f779,f193,f247]) ).
fof(f954,plain,
( h(e14) = e22
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f299,f166]) ).
fof(f955,plain,
( spl0_22
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f954,f244,f298]) ).
fof(f986,plain,
( spl0_21
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f355,f241,f282]) ).
fof(f1015,plain,
( h(e11) = op2(h(e13),e24)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f898,f656]) ).
fof(f1016,plain,
( h(e11) = op2(e24,e24)
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f898,f1015]) ).
fof(f1017,plain,
( h(e11) = e20
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f102,f1016]) ).
fof(f1018,plain,
( $false
| spl0_5
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f1017,f192]) ).
fof(f1019,plain,
( spl0_5
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f1018]) ).
fof(f1047,plain,
( h(e14) = e23
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f315,f167]) ).
fof(f1048,plain,
( spl0_23
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1047,f247,f314]) ).
fof(f1062,plain,
( e21 = e24
| ~ spl0_21
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f242,f334]) ).
fof(f1063,plain,
( $false
| ~ spl0_21
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1062,f24]) ).
fof(f1064,plain,
( ~ spl0_21
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1063]) ).
fof(f1115,plain,
( h(e13) = op2(e22,h(e12))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f197,f547]) ).
fof(f1116,plain,
( h(e13) = op2(e22,e21)
| ~ spl0_11
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f210,f1115]) ).
fof(f1117,plain,
( h(e13) = e20
| ~ spl0_11
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f89,f1116]) ).
fof(f1118,plain,
( $false
| spl0_15
| ~ spl0_11
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1117,f224]) ).
fof(f1119,plain,
( spl0_15
| ~ spl0_11
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1118]) ).
fof(f1145,plain,
( h(e11) = op2(e24,h(e14))
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f334,f754]) ).
fof(f1146,plain,
( h(e11) = op2(e24,e24)
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f334,f1145]) ).
fof(f1147,plain,
( h(e11) = e20
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f102,f1146]) ).
fof(f1148,plain,
( $false
| spl0_5
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1147,f192]) ).
fof(f1149,plain,
( spl0_5
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1148]) ).
fof(f1150,plain,
$false,
inference(sat_refutation,[status(thm)],[f189,f333,f368,f374,f389,f410,f472,f483,f484,f491,f493,f519,f523,f542,f583,f595,f605,f631,f652,f682,f683,f689,f691,f692,f694,f715,f728,f751,f805,f848,f933,f948,f955,f986,f1019,f1048,f1064,f1119,f1149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : ALG081+1 : TPTP v8.1.2. Released v2.7.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n017.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 22:59:33 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 0.16/0.40 % Refutation found
% 0.16/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.41 % Elapsed time: 0.077958 seconds
% 0.16/0.41 % CPU time: 0.520047 seconds
% 0.16/0.41 % Total memory used: 19.021 MB
% 0.16/0.41 % Net memory used: 18.647 MB
%------------------------------------------------------------------------------