TSTP Solution File: ALG087+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG087+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:09:28 EDT 2024
% Result : Theorem 0.14s 0.34s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 165 ( 54 unt; 0 def)
% Number of atoms : 676 ( 539 equ)
% Maximal formula atoms : 110 ( 4 avg)
% Number of connectives : 641 ( 130 ~; 226 |; 271 &)
% ( 12 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 13 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) = e10
& op1(e11,e12) = e13
& op1(e11,e13) = e14
& op1(e11,e14) = e12
& op1(e12,e10) = e12
& op1(e12,e11) = e14
& op1(e12,e12) = e10
& op1(e12,e13) = e11
& op1(e12,e14) = e13
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e14
& op1(e13,e13) = e10
& op1(e13,e14) = e11
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e12
& op1(e14,e14) = e10 ),
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) = e20
& op2(e21,e22) = e24
& op2(e21,e23) = e22
& op2(e21,e24) = e23
& op2(e22,e20) = e22
& op2(e22,e21) = e24
& op2(e22,e22) = e23
& op2(e22,e23) = e20
& op2(e22,e24) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e22
& op2(e23,e22) = e21
& op2(e23,e23) = e24
& op2(e23,e24) = e20
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e20
& op2(e24,e23) = e21
& op2(e24,e24) = e22 ),
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(f9,plain,
e10 != e12,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f19,plain,
e20 != e22,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f21,plain,
e20 != e24,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f23,plain,
e21 != e23,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f25,plain,
e22 != e23,
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(f57,plain,
op1(e10,e14) = e14,
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) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f71,plain,
op1(e13,e13) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f73,plain,
op1(e14,e10) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f77,plain,
op1(e14,e14) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f78,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f87,plain,
op2(e21,e24) = e23,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f90,plain,
op2(e22,e22) = e23,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f91,plain,
op2(e22,e23) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f92,plain,
op2(e22,e24) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e24,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f100,plain,
op2(e24,e22) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f101,plain,
op2(e24,e23) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f102,plain,
op2(e24,e24) = e22,
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(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(f118,plain,
h(op1(e10,e14)) = op2(h(e10),h(e14)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f119,plain,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f120,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f134,plain,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f138,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f139,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f148,plain,
j(op2(e21,e24)) = op1(j(e21),j(e24)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f153,plain,
j(op2(e22,e24)) = op1(j(e22),j(e24)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(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(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(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(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(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(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(f286,plain,
( spl0_35
<=> j(e22) = e10 ),
introduced(split_symbol_definition) ).
fof(f287,plain,
( j(e22) = e10
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f288,plain,
( j(e22) != e10
| spl0_35 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f302,plain,
( spl0_40
<=> j(e23) = e10 ),
introduced(split_symbol_definition) ).
fof(f303,plain,
( j(e23) = e10
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( j(e23) != e10
| spl0_40 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(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(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[status(thm)],[f53,f114]) ).
fof(f338,plain,
h(e14) = op2(h(e10),h(e14)),
inference(forward_demodulation,[status(thm)],[f57,f118]) ).
fof(f339,plain,
h(e11) = op2(h(e11),h(e10)),
inference(forward_demodulation,[status(thm)],[f58,f119]) ).
fof(f340,plain,
h(e10) = op2(h(e11),h(e11)),
inference(forward_demodulation,[status(thm)],[f59,f120]) ).
fof(f354,plain,
h(e14) = op2(h(e14),h(e10)),
inference(forward_demodulation,[status(thm)],[f73,f134]) ).
fof(f358,plain,
h(e10) = op2(h(e14),h(e14)),
inference(forward_demodulation,[status(thm)],[f77,f138]) ).
fof(f359,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[status(thm)],[f78,f139]) ).
fof(f368,plain,
j(e23) = op1(j(e21),j(e24)),
inference(forward_demodulation,[status(thm)],[f87,f148]) ).
fof(f373,plain,
j(e21) = op1(j(e22),j(e24)),
inference(forward_demodulation,[status(thm)],[f92,f153]) ).
fof(f377,plain,
j(e24) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f96,f157]) ).
fof(f383,plain,
j(e22) = op1(j(e24),j(e24)),
inference(forward_demodulation,[status(thm)],[f102,f163]) ).
fof(f477,plain,
( h(e10) = e23
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f303,f167]) ).
fof(f504,plain,
( h(e10) = e22
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f287,f166]) ).
fof(f643,plain,
( j(e22) = op1(e10,j(e24))
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f319,f383]) ).
fof(f644,plain,
( j(e22) = op1(e10,e10)
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f319,f643]) ).
fof(f645,plain,
( j(e22) = e10
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f53,f644]) ).
fof(f787,plain,
( e22 = op2(h(e14),h(e10))
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f245,f354]) ).
fof(f788,plain,
( e22 = op2(e22,h(e10))
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f245,f787]) ).
fof(f789,plain,
( h(e10) = op2(e22,h(e14))
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f245,f358]) ).
fof(f790,plain,
( h(e10) = op2(e22,e22)
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f245,f789]) ).
fof(f791,plain,
( h(e10) = e23
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f90,f790]) ).
fof(f855,plain,
( h(e11) = e24
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f322,f168]) ).
fof(f856,plain,
( spl0_9
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f855,f202,f321]) ).
fof(f921,plain,
( e23 = op2(h(e10),h(e10))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f184,f334]) ).
fof(f922,plain,
( e23 = op2(e23,h(e10))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f184,f921]) ).
fof(f923,plain,
( e23 = op2(e23,e23)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f184,f922]) ).
fof(f924,plain,
( e23 = e24
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f96,f923]) ).
fof(f925,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f924,f27]) ).
fof(f926,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f925]) ).
fof(f940,plain,
( spl0_3
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f477,f183,f302]) ).
fof(f967,plain,
( j(e22) = op1(e13,j(e24))
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f328,f383]) ).
fof(f968,plain,
( j(e22) = op1(e13,e13)
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f328,f967]) ).
fof(f969,plain,
( j(e22) = e10
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f71,f968]) ).
fof(f976,plain,
( e10 != e10
| ~ spl0_48
| spl0_35 ),
inference(forward_demodulation,[status(thm)],[f969,f288]) ).
fof(f977,plain,
( $false
| ~ spl0_48
| spl0_35 ),
inference(trivial_equality_resolution,[status(esa)],[f976]) ).
fof(f978,plain,
( ~ spl0_48
| spl0_35 ),
inference(contradiction_clause,[status(thm)],[f977]) ).
fof(f1147,plain,
( h(e11) = e24
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f322,f168]) ).
fof(f1158,plain,
( h(e10) = op2(e24,h(e11))
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f1147,f340]) ).
fof(f1159,plain,
( h(e10) = op2(e24,e24)
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f1147,f1158]) ).
fof(f1160,plain,
( h(e10) = e22
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f102,f1159]) ).
fof(f1168,plain,
( h(e11) = op2(e24,h(e10))
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f203,f339]) ).
fof(f1169,plain,
( e24 = op2(e24,h(e10))
| ~ spl0_46
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f1147,f1168]) ).
fof(f1170,plain,
( e24 = op2(e24,e22)
| ~ spl0_46
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f1160,f1169]) ).
fof(f1171,plain,
( e24 = e20
| ~ spl0_46
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f100,f1170]) ).
fof(f1172,plain,
( $false
| ~ spl0_46
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f1171,f21]) ).
fof(f1173,plain,
( ~ spl0_46
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f1172]) ).
fof(f1297,plain,
( spl0_35
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f645,f286,f318]) ).
fof(f1343,plain,
( j(e20) = op1(j(e20),e12)
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f261,f359]) ).
fof(f1376,plain,
( e22 = op2(h(e11),h(e11))
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f504,f340]) ).
fof(f1377,plain,
( e22 = h(e10)
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f340,f1376]) ).
fof(f1381,plain,
( h(e10) = op2(h(e10),e22)
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f504,f334]) ).
fof(f1382,plain,
( e22 = op2(h(e10),e22)
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f1377,f1381]) ).
fof(f1383,plain,
( e22 = op2(e22,e22)
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f1377,f1382]) ).
fof(f1384,plain,
( e22 = e23
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f90,f1383]) ).
fof(f1385,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1384,f25]) ).
fof(f1386,plain,
~ spl0_35,
inference(contradiction_clause,[status(thm)],[f1385]) ).
fof(f1390,plain,
( j(e22) = op1(j(e24),e12)
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f325,f383]) ).
fof(f1469,plain,
( j(e22) = op1(j(e24),e14)
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f331,f383]) ).
fof(f1475,plain,
( e14 = op1(j(e23),j(e23))
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f331,f377]) ).
fof(f1476,plain,
( e14 = j(e24)
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f377,f1475]) ).
fof(f1500,plain,
( e22 = op2(e22,e23)
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f791,f788]) ).
fof(f1501,plain,
( e22 = e20
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f91,f1500]) ).
fof(f1502,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f1501,f19]) ).
fof(f1503,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f1502]) ).
fof(f1519,plain,
( j(e20) = op1(e12,e12)
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f261,f1343]) ).
fof(f1520,plain,
( j(e20) = e10
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f65,f1519]) ).
fof(f1521,plain,
( e10 = e12
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f1520,f261]) ).
fof(f1522,plain,
( $false
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f1521,f9]) ).
fof(f1523,plain,
~ spl0_27,
inference(contradiction_clause,[status(thm)],[f1522]) ).
fof(f1564,plain,
( h(e10) = op2(e23,h(e14))
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f248,f358]) ).
fof(f1565,plain,
( h(e10) = op2(e23,e23)
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f248,f1564]) ).
fof(f1566,plain,
( h(e10) = e24
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f96,f1565]) ).
fof(f1567,plain,
( e23 = op2(h(e10),h(e14))
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f248,f338]) ).
fof(f1568,plain,
( e23 = op2(e24,h(e14))
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f1566,f1567]) ).
fof(f1569,plain,
( e23 = op2(e24,e23)
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f248,f1568]) ).
fof(f1570,plain,
( e23 = e21
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f101,f1569]) ).
fof(f1571,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1570,f23]) ).
fof(f1572,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f1571]) ).
fof(f1574,plain,
( j(e22) = op1(e12,e12)
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f325,f1390]) ).
fof(f1575,plain,
( j(e22) = e10
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f65,f1574]) ).
fof(f1576,plain,
( $false
| spl0_35
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1575,f288]) ).
fof(f1577,plain,
( spl0_35
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f1576]) ).
fof(f1775,plain,
( j(e22) = op1(e14,e14)
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f1476,f1469]) ).
fof(f1776,plain,
( j(e22) = e10
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f77,f1775]) ).
fof(f1777,plain,
( j(e21) = op1(j(e22),e14)
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f1476,f373]) ).
fof(f1778,plain,
( j(e21) = op1(e10,e14)
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f1776,f1777]) ).
fof(f1779,plain,
( j(e21) = e14
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f57,f1778]) ).
fof(f1783,plain,
( j(e23) = op1(j(e21),e14)
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f1476,f368]) ).
fof(f1784,plain,
( j(e23) = op1(e14,e14)
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f1779,f1783]) ).
fof(f1785,plain,
( j(e23) = e10
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f77,f1784]) ).
fof(f1786,plain,
( $false
| spl0_40
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1785,f304]) ).
fof(f1787,plain,
( spl0_40
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1786]) ).
fof(f1788,plain,
$false,
inference(sat_refutation,[status(thm)],[f333,f856,f926,f940,f978,f1173,f1297,f1386,f1503,f1523,f1572,f1577,f1787]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : ALG087+1 : TPTP v8.1.2. Released v2.7.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon Apr 29 23:36:05 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.10/0.29 % Drodi V3.6.0
% 0.14/0.34 % Refutation found
% 0.14/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.35 % Elapsed time: 0.058939 seconds
% 0.14/0.35 % CPU time: 0.405992 seconds
% 0.14/0.35 % Total memory used: 16.248 MB
% 0.14/0.35 % Net memory used: 16.004 MB
%------------------------------------------------------------------------------