TSTP Solution File: ALG031+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG031+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:09:02 EDT 2024
% Result : Theorem 0.21s 0.51s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 22
% Syntax : Number of formulae : 178 ( 47 unt; 0 def)
% Number of atoms : 882 ( 706 equ)
% Maximal formula atoms : 156 ( 4 avg)
% Number of connectives : 843 ( 139 ~; 317 |; 367 &)
% ( 18 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 96 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e10 != e15
& e11 != e12
& e11 != e13
& e11 != e14
& e11 != e15
& e12 != e13
& e12 != e14
& e12 != e15
& e13 != e14
& e13 != e15
& e14 != e15 ),
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(e10,e15) = e15
& op1(e11,e10) = e11
& op1(e11,e11) = e10
& op1(e11,e12) = e14
& op1(e11,e13) = e15
& op1(e11,e14) = e12
& op1(e11,e15) = e13
& op1(e12,e10) = e12
& op1(e12,e11) = e14
& op1(e12,e12) = e13
& op1(e12,e13) = e10
& op1(e12,e14) = e15
& op1(e12,e15) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e15
& op1(e13,e12) = e10
& op1(e13,e13) = e12
& op1(e13,e14) = e11
& op1(e13,e15) = e14
& op1(e14,e10) = e14
& op1(e14,e11) = e12
& op1(e14,e12) = e15
& op1(e14,e13) = e11
& op1(e14,e14) = e13
& op1(e14,e15) = e10
& op1(e15,e10) = e15
& op1(e15,e11) = e13
& op1(e15,e12) = e11
& op1(e15,e13) = e14
& op1(e15,e14) = e10
& op1(e15,e15) = 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(e20,e25) = e25
& op2(e21,e20) = e21
& op2(e21,e21) = e20
& op2(e21,e22) = e23
& op2(e21,e23) = e22
& op2(e21,e24) = e25
& op2(e21,e25) = e24
& op2(e22,e20) = e22
& op2(e22,e21) = e24
& op2(e22,e22) = e20
& op2(e22,e23) = e25
& op2(e22,e24) = e21
& op2(e22,e25) = e23
& op2(e23,e20) = e23
& op2(e23,e21) = e25
& op2(e23,e22) = e21
& op2(e23,e23) = e24
& op2(e23,e24) = e20
& op2(e23,e25) = e22
& op2(e24,e20) = e24
& op2(e24,e21) = e22
& op2(e24,e22) = e25
& op2(e24,e23) = e20
& op2(e24,e24) = e23
& op2(e24,e25) = e21
& op2(e25,e20) = e25
& op2(e25,e21) = e23
& op2(e25,e22) = e24
& op2(e25,e23) = e21
& op2(e25,e24) = e22
& op2(e25,e25) = e20 ),
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(e10) = e25 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| h(e11) = e25 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| h(e14) = e25 )
& ( h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e21) = e15 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| j(e22) = e15 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| j(e23) = e15 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| j(e24) = e15 )
& ( j(e25) = e10
| j(e25) = e11
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e15 ) )
=> ~ ( 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(e10,e15)) = op2(h(e10),h(e15))
& 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(e11,e15)) = op2(h(e11),h(e15))
& 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(e12,e15)) = op2(h(e12),h(e15))
& 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(e13,e15)) = op2(h(e13),h(e15))
& 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))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& 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(e20,e25)) = op1(j(e20),j(e25))
& 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(e21,e25)) = op1(j(e21),j(e25))
& 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(e22,e25)) = op1(j(e22),j(e25))
& 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(e23,e25)) = op1(j(e23),j(e25))
& 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))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& h(j(e25)) = e25
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& j(h(e15)) = e15 ) ),
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(e10) = e25 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| h(e11) = e25 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| h(e14) = e25 )
& ( h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e21) = e15 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| j(e22) = e15 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| j(e23) = e15 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| j(e24) = e15 )
& ( j(e25) = e10
| j(e25) = e11
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e15 ) )
=> ~ ( 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(e10,e15)) = op2(h(e10),h(e15))
& 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(e11,e15)) = op2(h(e11),h(e15))
& 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(e12,e15)) = op2(h(e12),h(e15))
& 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(e13,e15)) = op2(h(e13),h(e15))
& 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))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& 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(e20,e25)) = op1(j(e20),j(e25))
& 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(e21,e25)) = op1(j(e21),j(e25))
& 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(e22,e25)) = op1(j(e22),j(e25))
& 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(e23,e25)) = op1(j(e23),j(e25))
& 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))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& h(j(e25)) = e25
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& j(h(e15)) = e15 ) ),
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(f17,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f18,plain,
e12 != e14,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f19,plain,
e12 != e15,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f78,plain,
op1(e10,e14) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f81,plain,
op1(e11,e11) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f87,plain,
op1(e12,e11) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f88,plain,
op1(e12,e12) = e13,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f95,plain,
op1(e13,e13) = e12,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f96,plain,
op1(e13,e14) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f102,plain,
op1(e14,e14) = e13,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f109,plain,
op1(e15,e15) = e12,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f110,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f112,plain,
op2(e20,e22) = e22,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f117,plain,
op2(e21,e21) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f124,plain,
op2(e22,e22) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f131,plain,
op2(e23,e23) = e24,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f137,plain,
op2(e24,e23) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f138,plain,
op2(e24,e24) = e23,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f145,plain,
op2(e25,e25) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f146,plain,
( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| h(e11) = e25 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| h(e14) = e25 )
& ( h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e21) = e15 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| j(e22) = e15 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| j(e23) = e15 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| j(e24) = e15 )
& ( j(e25) = e10
| j(e25) = e11
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e15 )
& 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(e10,e15)) = op2(h(e10),h(e15))
& 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(e11,e15)) = op2(h(e11),h(e15))
& 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(e12,e15)) = op2(h(e12),h(e15))
& 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(e13,e15)) = op2(h(e13),h(e15))
& 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))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& 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(e20,e25)) = op1(j(e20),j(e25))
& 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(e21,e25)) = op1(j(e21),j(e25))
& 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(e22,e25)) = op1(j(e22),j(e25))
& 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(e23,e25)) = op1(j(e23),j(e25))
& 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))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& h(j(e25)) = e25
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& j(h(e15)) = e15 ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f151,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| h(e14) = e25 ),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f153,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15 ),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f166,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f172,plain,
h(op1(e12,e11)) = op2(h(e12),h(e11)),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f180,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f181,plain,
h(op1(e13,e14)) = op2(h(e13),h(e14)),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f187,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f195,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f197,plain,
j(op2(e20,e22)) = op1(j(e20),j(e22)),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f209,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f231,plain,
h(j(e20)) = e20,
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f237,plain,
j(h(e10)) = e10,
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f238,plain,
j(h(e11)) = e11,
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f239,plain,
j(h(e12)) = e12,
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f240,plain,
j(h(e13)) = e13,
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f241,plain,
j(h(e14)) = e14,
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f262,plain,
( spl0_6
<=> h(e11) = e20 ),
introduced(split_symbol_definition) ).
fof(f263,plain,
( h(e11) = e20
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f264,plain,
( h(e11) != e20
| spl0_6 ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f293,plain,
( spl0_16
<=> h(e12) = e24 ),
introduced(split_symbol_definition) ).
fof(f294,plain,
( h(e12) = e24
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f295,plain,
( h(e12) != e24
| spl0_16 ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f300,plain,
( spl0_18
<=> h(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f301,plain,
( h(e13) = e20
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f302,plain,
( h(e13) != e20
| spl0_18 ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f319,plain,
( spl0_24
<=> h(e14) = e20 ),
introduced(split_symbol_definition) ).
fof(f320,plain,
( h(e14) = e20
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,plain,
( spl0_25
<=> h(e14) = e21 ),
introduced(split_symbol_definition) ).
fof(f323,plain,
( h(e14) = e21
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( spl0_26
<=> h(e14) = e22 ),
introduced(split_symbol_definition) ).
fof(f326,plain,
( h(e14) = e22
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( spl0_27
<=> h(e14) = e23 ),
introduced(split_symbol_definition) ).
fof(f329,plain,
( h(e14) = e23
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( spl0_28
<=> h(e14) = e24 ),
introduced(split_symbol_definition) ).
fof(f332,plain,
( h(e14) = e24
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,plain,
( spl0_29
<=> h(e14) = e25 ),
introduced(split_symbol_definition) ).
fof(f335,plain,
( h(e14) = e25
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27
| spl0_28
| spl0_29 ),
inference(split_clause,[status(thm)],[f151,f319,f322,f325,f328,f331,f334]) ).
fof(f357,plain,
( spl0_36
<=> j(e20) = e10 ),
introduced(split_symbol_definition) ).
fof(f358,plain,
( j(e20) = e10
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,plain,
( spl0_37
<=> j(e20) = e11 ),
introduced(split_symbol_definition) ).
fof(f361,plain,
( j(e20) = e11
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,plain,
( spl0_38
<=> j(e20) = e12 ),
introduced(split_symbol_definition) ).
fof(f364,plain,
( j(e20) = e12
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f365,plain,
( j(e20) != e12
| spl0_38 ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,plain,
( spl0_39
<=> j(e20) = e13 ),
introduced(split_symbol_definition) ).
fof(f367,plain,
( j(e20) = e13
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f368,plain,
( j(e20) != e13
| spl0_39 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,plain,
( spl0_40
<=> j(e20) = e14 ),
introduced(split_symbol_definition) ).
fof(f370,plain,
( j(e20) = e14
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,plain,
( spl0_41
<=> j(e20) = e15 ),
introduced(split_symbol_definition) ).
fof(f373,plain,
( j(e20) = e15
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40
| spl0_41 ),
inference(split_clause,[status(thm)],[f153,f357,f360,f363,f366,f369,f372]) ).
fof(f407,plain,
( spl0_52
<=> j(e22) = e14 ),
introduced(split_symbol_definition) ).
fof(f408,plain,
( j(e22) = e14
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f439,plain,
( spl0_62
<=> j(e24) = e12 ),
introduced(split_symbol_definition) ).
fof(f440,plain,
( j(e24) = e12
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f445,plain,
( spl0_64
<=> j(e24) = e14 ),
introduced(split_symbol_definition) ).
fof(f446,plain,
( j(e24) = e14
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f478,plain,
h(e10) = op2(h(e11),h(e11)),
inference(forward_demodulation,[status(thm)],[f81,f166]) ).
fof(f484,plain,
h(e14) = op2(h(e12),h(e11)),
inference(forward_demodulation,[status(thm)],[f87,f172]) ).
fof(f492,plain,
h(e12) = op2(h(e13),h(e13)),
inference(forward_demodulation,[status(thm)],[f95,f180]) ).
fof(f493,plain,
h(e11) = op2(h(e13),h(e14)),
inference(forward_demodulation,[status(thm)],[f96,f181]) ).
fof(f499,plain,
h(e13) = op2(h(e14),h(e14)),
inference(forward_demodulation,[status(thm)],[f102,f187]) ).
fof(f507,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[status(thm)],[f110,f195]) ).
fof(f509,plain,
j(e22) = op1(j(e20),j(e22)),
inference(forward_demodulation,[status(thm)],[f112,f197]) ).
fof(f521,plain,
j(e20) = op1(j(e22),j(e22)),
inference(forward_demodulation,[status(thm)],[f124,f209]) ).
fof(f653,plain,
( e14 = e12
| ~ spl0_64
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f446,f440]) ).
fof(f654,plain,
( $false
| ~ spl0_64
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f653,f18]) ).
fof(f655,plain,
( ~ spl0_64
| ~ spl0_62 ),
inference(contradiction_clause,[status(thm)],[f654]) ).
fof(f791,plain,
( j(e20) = op1(j(e20),e15)
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f373,f507]) ).
fof(f820,plain,
( h(e13) = op2(h(e14),e25)
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f335,f499]) ).
fof(f1007,plain,
( j(e20) = op1(j(e20),e12)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f364,f507]) ).
fof(f1008,plain,
( e12 = op1(j(e20),e12)
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f364,f1007]) ).
fof(f1009,plain,
( e12 = op1(e12,e12)
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f364,f1008]) ).
fof(f1010,plain,
( e12 = e13
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f88,f1009]) ).
fof(f1011,plain,
( $false
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f1010,f17]) ).
fof(f1012,plain,
~ spl0_38,
inference(contradiction_clause,[status(thm)],[f1011]) ).
fof(f1040,plain,
( j(e22) = e14
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f326,f241]) ).
fof(f1041,plain,
( spl0_52
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f1040,f407,f325]) ).
fof(f1109,plain,
( h(e14) = e20
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f370,f231]) ).
fof(f1246,plain,
( j(e24) = e12
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f294,f239]) ).
fof(f1247,plain,
( spl0_62
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f1246,f439,f293]) ).
fof(f1300,plain,
( h(e10) = op2(e20,h(e11))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f263,f478]) ).
fof(f1301,plain,
( h(e10) = op2(e20,e20)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f263,f1300]) ).
fof(f1302,plain,
( h(e10) = e20
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f110,f1301]) ).
fof(f1344,plain,
( j(e20) = op1(j(e20),e13)
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f367,f507]) ).
fof(f1426,plain,
( j(e22) = op1(j(e20),e14)
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f408,f509]) ).
fof(f1427,plain,
( j(e22) = op1(e10,e14)
| ~ spl0_36
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f358,f1426]) ).
fof(f1428,plain,
( j(e22) = e14
| ~ spl0_36
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f78,f1427]) ).
fof(f1432,plain,
( j(e20) = op1(j(e22),e14)
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f408,f521]) ).
fof(f1433,plain,
( e10 = op1(j(e22),e14)
| ~ spl0_36
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f358,f1432]) ).
fof(f1434,plain,
( e10 = op1(e14,e14)
| ~ spl0_36
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f1428,f1433]) ).
fof(f1435,plain,
( e10 = e13
| ~ spl0_36
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f102,f1434]) ).
fof(f1436,plain,
( $false
| ~ spl0_36
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f1435,f10]) ).
fof(f1437,plain,
( ~ spl0_36
| ~ spl0_52 ),
inference(contradiction_clause,[status(thm)],[f1436]) ).
fof(f1448,plain,
( j(e20) = e13
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f301,f240]) ).
fof(f1449,plain,
( spl0_39
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1448,f366,f300]) ).
fof(f1509,plain,
( j(e24) = e14
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f332,f241]) ).
fof(f1510,plain,
( spl0_64
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f1509,f445,f331]) ).
fof(f1522,plain,
( h(e13) = op2(e24,h(e14))
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f332,f499]) ).
fof(f1523,plain,
( h(e13) = op2(e24,e24)
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f332,f1522]) ).
fof(f1524,plain,
( h(e13) = e23
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f138,f1523]) ).
fof(f1530,plain,
( h(e12) = op2(e23,h(e13))
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f1524,f492]) ).
fof(f1531,plain,
( h(e12) = op2(e23,e23)
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f1524,f1530]) ).
fof(f1532,plain,
( h(e12) = e24
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f131,f1531]) ).
fof(f1533,plain,
( $false
| spl0_16
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f1532,f295]) ).
fof(f1534,plain,
( spl0_16
| ~ spl0_28 ),
inference(contradiction_clause,[status(thm)],[f1533]) ).
fof(f1717,plain,
( e15 = op1(j(e20),e15)
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f373,f791]) ).
fof(f1718,plain,
( e15 = op1(e15,e15)
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f373,f1717]) ).
fof(f1719,plain,
( e15 = e12
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f109,f1718]) ).
fof(f1720,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f1719,f19]) ).
fof(f1721,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f1720]) ).
fof(f1726,plain,
( h(e13) = op2(h(e14),e23)
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f329,f499]) ).
fof(f1782,plain,
( j(e20) = op1(e13,e13)
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f367,f1344]) ).
fof(f1783,plain,
( j(e20) = e12
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f95,f1782]) ).
fof(f1784,plain,
( $false
| spl0_38
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f1783,f365]) ).
fof(f1785,plain,
( spl0_38
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f1784]) ).
fof(f1897,plain,
( h(e13) = op2(e20,h(e14))
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f320,f499]) ).
fof(f1898,plain,
( h(e13) = op2(e20,e20)
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f320,f1897]) ).
fof(f1899,plain,
( h(e13) = e20
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f110,f1898]) ).
fof(f1903,plain,
( j(e20) = e13
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f1899,f240]) ).
fof(f1904,plain,
( $false
| spl0_39
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f1903,f368]) ).
fof(f1905,plain,
( spl0_39
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f1904]) ).
fof(f1906,plain,
( spl0_24
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f1109,f319,f369]) ).
fof(f1916,plain,
( j(e20) = e11
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f263,f238]) ).
fof(f1939,plain,
( j(e20) = e10
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1302,f237]) ).
fof(f1940,plain,
( e11 = e10
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1916,f1939]) ).
fof(f1941,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f1940,f8]) ).
fof(f1942,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f1941]) ).
fof(f2238,plain,
( h(e11) = e20
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f361,f231]) ).
fof(f2239,plain,
( spl0_6
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f2238,f262,f360]) ).
fof(f2298,plain,
( h(e13) = op2(e25,e25)
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f335,f820]) ).
fof(f2299,plain,
( h(e13) = e20
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f145,f2298]) ).
fof(f2300,plain,
( $false
| spl0_18
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f2299,f302]) ).
fof(f2301,plain,
( spl0_18
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f2300]) ).
fof(f2401,plain,
( e23 = op2(h(e12),h(e11))
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f329,f484]) ).
fof(f2402,plain,
( e23 = h(e14)
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f484,f2401]) ).
fof(f2411,plain,
( h(e13) = op2(e23,e23)
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f2402,f1726]) ).
fof(f2412,plain,
( h(e13) = e24
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f131,f2411]) ).
fof(f2425,plain,
( h(e11) = op2(e24,h(e14))
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f2412,f493]) ).
fof(f2426,plain,
( h(e11) = op2(e24,e23)
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f2402,f2425]) ).
fof(f2427,plain,
( h(e11) = e20
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f137,f2426]) ).
fof(f2428,plain,
( $false
| spl0_6
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f2427,f264]) ).
fof(f2429,plain,
( spl0_6
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f2428]) ).
fof(f2581,plain,
( h(e13) = op2(h(e14),e21)
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f323,f499]) ).
fof(f2582,plain,
( h(e13) = op2(e21,e21)
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f323,f2581]) ).
fof(f2583,plain,
( h(e13) = e20
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f117,f2582]) ).
fof(f2584,plain,
( $false
| spl0_18
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f2583,f302]) ).
fof(f2585,plain,
( spl0_18
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f2584]) ).
fof(f2586,plain,
$false,
inference(sat_refutation,[status(thm)],[f337,f375,f655,f1012,f1041,f1247,f1437,f1449,f1510,f1534,f1721,f1785,f1905,f1906,f1942,f2239,f2301,f2429,f2585]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG031+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 23:26:12 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.21/0.51 % Refutation found
% 0.21/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.54 % Elapsed time: 0.180661 seconds
% 0.21/0.54 % CPU time: 1.334185 seconds
% 0.21/0.54 % Total memory used: 27.820 MB
% 0.21/0.54 % Net memory used: 27.218 MB
%------------------------------------------------------------------------------