TSTP Solution File: ALG075+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG075+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:09:26 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 147 ( 47 unt; 0 def)
% Number of atoms : 635 ( 513 equ)
% Maximal formula atoms : 110 ( 4 avg)
% Number of connectives : 594 ( 106 ~; 212 |; 262 &)
% ( 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/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) = e14
& op1(e11,e12) = e10
& op1(e11,e13) = e12
& op1(e11,e14) = e13
& op1(e12,e10) = e12
& op1(e12,e11) = e10
& op1(e12,e12) = e13
& op1(e12,e13) = e14
& op1(e12,e14) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e14
& op1(e13,e13) = e11
& op1(e13,e14) = e10
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e10
& op1(e14,e14) = e12 ),
file('/export/starexec/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) = e20
& op2(e21,e22) = e23
& op2(e21,e23) = e24
& op2(e21,e24) = e22
& op2(e22,e20) = e22
& op2(e22,e21) = e24
& op2(e22,e22) = e20
& op2(e22,e23) = e21
& op2(e22,e24) = e23
& op2(e23,e20) = e23
& op2(e23,e21) = e22
& op2(e23,e22) = e24
& op2(e23,e23) = e20
& op2(e23,e24) = e21
& 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(f13,plain,
e11 != e13,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f15,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
e12 != e14,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f59,plain,
op1(e11,e11) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e13,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f66,plain,
op1(e12,e13) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f71,plain,
op1(e13,e13) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f74,plain,
op1(e14,e11) = e13,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f77,plain,
op1(e14,e14) = e12,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f78,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f82,plain,
op2(e20,e24) = e24,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f83,plain,
op2(e21,e20) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f84,plain,
op2(e21,e21) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f88,plain,
op2(e22,e20) = e22,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f90,plain,
op2(e22,e22) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e20,
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(f106,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 ),
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(f139,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f143,plain,
j(op2(e20,e24)) = op1(j(e20),j(e24)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f144,plain,
j(op2(e21,e20)) = op1(j(e21),j(e20)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f145,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f149,plain,
j(op2(e22,e20)) = op1(j(e22),j(e20)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f151,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f157,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f163,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f164,plain,
h(j(e20)) = e20,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(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(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(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(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(f212,plain,
( spl0_12
<=> h(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f213,plain,
( h(e12) = e22
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( spl0_13
<=> h(e12) = e23 ),
introduced(split_symbol_definition) ).
fof(f216,plain,
( h(e12) = e23
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( spl0_14
<=> h(e12) = e24 ),
introduced(split_symbol_definition) ).
fof(f219,plain,
( h(e12) = e24
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( spl0_10
| spl0_11
| spl0_12
| spl0_13
| spl0_14 ),
inference(split_clause,[status(thm)],[f106,f206,f209,f212,f215,f218]) ).
fof(f222,plain,
( spl0_15
<=> h(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f223,plain,
( h(e13) = e20
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f257,plain,
( spl0_26
<=> j(e20) = e11 ),
introduced(split_symbol_definition) ).
fof(f258,plain,
( j(e20) = e11
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f266,plain,
( spl0_29
<=> j(e20) = e14 ),
introduced(split_symbol_definition) ).
fof(f267,plain,
( j(e20) = e14
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f292,plain,
( spl0_37
<=> j(e22) = e12 ),
introduced(split_symbol_definition) ).
fof(f293,plain,
( j(e22) = e12
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f308,plain,
( spl0_42
<=> j(e23) = e12 ),
introduced(split_symbol_definition) ).
fof(f309,plain,
( j(e23) = e12
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(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(f346,plain,
h(e13) = op2(h(e12),h(e12)),
inference(forward_demodulation,[status(thm)],[f65,f126]) ).
fof(f352,plain,
h(e11) = op2(h(e13),h(e13)),
inference(forward_demodulation,[status(thm)],[f71,f132]) ).
fof(f359,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[status(thm)],[f78,f139]) ).
fof(f363,plain,
j(e24) = op1(j(e20),j(e24)),
inference(forward_demodulation,[status(thm)],[f82,f143]) ).
fof(f364,plain,
j(e21) = op1(j(e21),j(e20)),
inference(forward_demodulation,[status(thm)],[f83,f144]) ).
fof(f365,plain,
j(e20) = op1(j(e21),j(e21)),
inference(forward_demodulation,[status(thm)],[f84,f145]) ).
fof(f369,plain,
j(e22) = op1(j(e22),j(e20)),
inference(forward_demodulation,[status(thm)],[f88,f149]) ).
fof(f371,plain,
j(e20) = op1(j(e22),j(e22)),
inference(forward_demodulation,[status(thm)],[f90,f151]) ).
fof(f377,plain,
j(e20) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f96,f157]) ).
fof(f383,plain,
j(e20) = op1(j(e24),j(e24)),
inference(forward_demodulation,[status(thm)],[f102,f163]) ).
fof(f586,plain,
( e20 = op2(h(e12),h(e12))
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f223,f346]) ).
fof(f597,plain,
( j(e20) = e12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f207,f171]) ).
fof(f615,plain,
( j(e20) = e11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f191,f170]) ).
fof(f662,plain,
( e20 = h(e13)
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f346,f586]) ).
fof(f667,plain,
( h(e11) = op2(e20,h(e13))
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f662,f352]) ).
fof(f668,plain,
( h(e11) = op2(e20,e20)
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f662,f667]) ).
fof(f669,plain,
( h(e11) = e20
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f78,f668]) ).
fof(f675,plain,
( e20 != e20
| ~ spl0_15
| spl0_5 ),
inference(forward_demodulation,[status(thm)],[f669,f192]) ).
fof(f676,plain,
( $false
| ~ spl0_15
| spl0_5 ),
inference(trivial_equality_resolution,[status(esa)],[f675]) ).
fof(f677,plain,
( ~ spl0_15
| spl0_5 ),
inference(contradiction_clause,[status(thm)],[f676]) ).
fof(f719,plain,
( spl0_26
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f615,f257,f190]) ).
fof(f744,plain,
( j(e20) = op1(e12,j(e23))
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f309,f377]) ).
fof(f745,plain,
( j(e20) = op1(e12,e12)
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f309,f744]) ).
fof(f746,plain,
( j(e20) = e13
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f65,f745]) ).
fof(f748,plain,
( e13 = e11
| ~ spl0_42
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f746,f258]) ).
fof(f749,plain,
( $false
| ~ spl0_42
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f748,f13]) ).
fof(f750,plain,
( ~ spl0_42
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f749]) ).
fof(f800,plain,
( j(e21) = e12
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f210,f171]) ).
fof(f845,plain,
( j(e20) = op1(j(e20),e14)
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f267,f359]) ).
fof(f874,plain,
( j(e20) = op1(e12,j(e21))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f800,f365]) ).
fof(f875,plain,
( j(e20) = op1(e12,e12)
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f800,f874]) ).
fof(f876,plain,
( j(e20) = e13
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f65,f875]) ).
fof(f892,plain,
( j(e21) = op1(e12,j(e20))
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f800,f364]) ).
fof(f893,plain,
( e12 = op1(e12,j(e20))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f800,f892]) ).
fof(f894,plain,
( e12 = op1(e12,e13)
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f876,f893]) ).
fof(f895,plain,
( e12 = e14
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f66,f894]) ).
fof(f896,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f895,f16]) ).
fof(f897,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f896]) ).
fof(f952,plain,
( j(e22) = e12
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f213,f171]) ).
fof(f953,plain,
( spl0_37
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f952,f292,f212]) ).
fof(f999,plain,
( h(e13) = e20
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f746,f164]) ).
fof(f1000,plain,
( spl0_15
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f999,f222,f308]) ).
fof(f1057,plain,
( e12 = op1(j(e20),j(e20))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f597,f359]) ).
fof(f1058,plain,
( e12 = op1(e12,j(e20))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f597,f1057]) ).
fof(f1059,plain,
( e12 = op1(e12,e12)
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f597,f1058]) ).
fof(f1060,plain,
( e12 = e13
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f65,f1059]) ).
fof(f1061,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1060,f15]) ).
fof(f1062,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f1061]) ).
fof(f1068,plain,
( e12 = op1(j(e22),j(e20))
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f293,f369]) ).
fof(f1069,plain,
( e12 = op1(e12,j(e20))
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f293,f1068]) ).
fof(f1070,plain,
( j(e20) = op1(e12,j(e22))
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f293,f371]) ).
fof(f1071,plain,
( j(e20) = op1(e12,e12)
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f293,f1070]) ).
fof(f1072,plain,
( j(e20) = e13
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f65,f1071]) ).
fof(f1287,plain,
( e12 = op1(e12,e13)
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f1072,f1069]) ).
fof(f1288,plain,
( e12 = e14
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f66,f1287]) ).
fof(f1289,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f1288,f16]) ).
fof(f1290,plain,
~ spl0_37,
inference(contradiction_clause,[status(thm)],[f1289]) ).
fof(f1313,plain,
( j(e24) = op1(j(e20),e11)
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f322,f363]) ).
fof(f1314,plain,
( j(e20) = op1(j(e24),e11)
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f322,f383]) ).
fof(f1339,plain,
( j(e24) = e12
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f219,f171]) ).
fof(f1349,plain,
( j(e20) = op1(e12,j(e24))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f1339,f383]) ).
fof(f1350,plain,
( j(e20) = op1(e12,e12)
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f1339,f1349]) ).
fof(f1351,plain,
( j(e20) = e13
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f65,f1350]) ).
fof(f1356,plain,
( e13 = op1(j(e20),j(e20))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f1351,f359]) ).
fof(f1357,plain,
( e13 = op1(e13,j(e20))
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f1351,f1356]) ).
fof(f1358,plain,
( e13 = op1(e13,e13)
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f1351,f1357]) ).
fof(f1359,plain,
( e13 = e11
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f71,f1358]) ).
fof(f1360,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f1359,f13]) ).
fof(f1361,plain,
~ spl0_14,
inference(contradiction_clause,[status(thm)],[f1360]) ).
fof(f1497,plain,
( j(e20) = op1(e11,e11)
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f322,f1314]) ).
fof(f1498,plain,
( j(e20) = e14
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f59,f1497]) ).
fof(f1499,plain,
( e11 = op1(j(e20),e11)
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f322,f1313]) ).
fof(f1500,plain,
( e11 = op1(e14,e11)
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f1498,f1499]) ).
fof(f1501,plain,
( e11 = e13
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f74,f1500]) ).
fof(f1502,plain,
( $false
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f1501,f13]) ).
fof(f1503,plain,
~ spl0_46,
inference(contradiction_clause,[status(thm)],[f1502]) ).
fof(f1516,plain,
( j(e20) = op1(e14,e14)
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f267,f845]) ).
fof(f1517,plain,
( j(e20) = e12
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f77,f1516]) ).
fof(f1518,plain,
( e12 = e14
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f1517,f267]) ).
fof(f1519,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f1518,f16]) ).
fof(f1520,plain,
~ spl0_29,
inference(contradiction_clause,[status(thm)],[f1519]) ).
fof(f1534,plain,
( j(e23) = e12
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f216,f171]) ).
fof(f1535,plain,
( spl0_42
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1534,f308,f215]) ).
fof(f1570,plain,
$false,
inference(sat_refutation,[status(thm)],[f221,f677,f719,f750,f897,f953,f1000,f1062,f1290,f1361,f1503,f1520,f1535]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG075+1 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n023.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 23:48:40 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.20/0.43 % Refutation found
% 0.20/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.44 % Elapsed time: 0.089940 seconds
% 0.20/0.44 % CPU time: 0.620113 seconds
% 0.20/0.44 % Total memory used: 16.318 MB
% 0.20/0.44 % Net memory used: 16.079 MB
%------------------------------------------------------------------------------