TSTP Solution File: ALG076+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG076+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 190 ( 61 unt; 0 def)
% Number of atoms : 749 ( 564 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 728 ( 169 ~; 271 |; 271 &)
% ( 15 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 16 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) = e14
& op1(e11,e12) = e13
& op1(e11,e13) = e10
& op1(e11,e14) = e12
& op1(e12,e10) = e12
& op1(e12,e11) = e10
& op1(e12,e12) = e14
& op1(e12,e13) = e11
& op1(e12,e14) = e13
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e10
& op1(e13,e13) = e14
& 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/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) = 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/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(f11,plain,
e10 != e14,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f12,plain,
e11 != e12,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f13,plain,
e11 != e13,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f14,plain,
e11 != e14,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f15,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f18,plain,
e20 != e21,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f26,plain,
e22 != e24,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f53,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f58,plain,
op1(e11,e10) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f59,plain,
op1(e11,e11) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f62,plain,
op1(e11,e14) = e12,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f71,plain,
op1(e13,e13) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f72,plain,
op1(e13,e14) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f74,plain,
op1(e14,e11) = e13,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f75,plain,
op1(e14,e12) = e11,
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(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(f85,plain,
op2(e21,e22) = e24,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f86,plain,
op2(e21,e23) = e22,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f89,plain,
op2(e22,e21) = e24,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f90,plain,
op2(e22,e22) = e23,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f91,plain,
op2(e22,e23) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f94,plain,
op2(e23,e21) = e22,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f95,plain,
op2(e23,e22) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f98,plain,
op2(e24,e20) = e24,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f99,plain,
op2(e24,e21) = e23,
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(f105,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f110,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = 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(f119,plain,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
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(f136,plain,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
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(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(f146,plain,
j(op2(e21,e22)) = op1(j(e21),j(e22)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f150,plain,
j(op2(e22,e21)) = op1(j(e22),j(e21)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f152,plain,
j(op2(e22,e23)) = op1(j(e22),j(e23)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f165,plain,
h(j(e21)) = e21,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f170,plain,
j(h(e11)) = e11,
inference(cnf_transformation,[status(esa)],[f103]) ).
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(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(f193,plain,
( spl0_6
<=> h(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f194,plain,
( h(e11) = e21
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f195,plain,
( h(e11) != e21
| spl0_6 ),
inference(component_clause,[status(thm)],[f193]) ).
fof(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(f199,plain,
( spl0_8
<=> h(e11) = e23 ),
introduced(split_symbol_definition) ).
fof(f200,plain,
( h(e11) = e23
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( spl0_9
<=> h(e11) = e24 ),
introduced(split_symbol_definition) ).
fof(f203,plain,
( h(e11) = e24
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8
| spl0_9 ),
inference(split_clause,[status(thm)],[f105,f190,f193,f196,f199,f202]) ).
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(f214,plain,
( h(e12) != e22
| spl0_12 ),
inference(component_clause,[status(thm)],[f212]) ).
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(f257,plain,
( spl0_26
<=> j(e20) = e11 ),
introduced(split_symbol_definition) ).
fof(f258,plain,
( j(e20) = e11
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f266,plain,
( spl0_29
<=> j(e20) = e14 ),
introduced(split_symbol_definition) ).
fof(f267,plain,
( j(e20) = e14
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f268,plain,
( j(e20) != e14
| spl0_29 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f270,plain,
( spl0_30
<=> j(e21) = e10 ),
introduced(split_symbol_definition) ).
fof(f271,plain,
( j(e21) = e10
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,plain,
( spl0_31
<=> j(e21) = e11 ),
introduced(split_symbol_definition) ).
fof(f274,plain,
( j(e21) = e11
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,plain,
( spl0_32
<=> j(e21) = e12 ),
introduced(split_symbol_definition) ).
fof(f277,plain,
( j(e21) = e12
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( spl0_33
<=> j(e21) = e13 ),
introduced(split_symbol_definition) ).
fof(f280,plain,
( j(e21) = e13
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f279]) ).
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(f285,plain,
( spl0_30
| spl0_31
| spl0_32
| spl0_33
| spl0_34 ),
inference(split_clause,[status(thm)],[f110,f270,f273,f276,f279,f282]) ).
fof(f334,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[status(thm)],[f53,f114]) ).
fof(f339,plain,
h(e11) = op2(h(e11),h(e10)),
inference(forward_demodulation,[status(thm)],[f58,f119]) ).
fof(f343,plain,
h(e12) = op2(h(e11),h(e14)),
inference(forward_demodulation,[status(thm)],[f62,f123]) ).
fof(f346,plain,
h(e14) = op2(h(e12),h(e12)),
inference(forward_demodulation,[status(thm)],[f65,f126]) ).
fof(f356,plain,
h(e11) = op2(h(e14),h(e12)),
inference(forward_demodulation,[status(thm)],[f75,f136]) ).
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(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(f366,plain,
j(e24) = op1(j(e21),j(e22)),
inference(forward_demodulation,[status(thm)],[f85,f146]) ).
fof(f370,plain,
j(e24) = op1(j(e22),j(e21)),
inference(forward_demodulation,[status(thm)],[f89,f150]) ).
fof(f372,plain,
j(e20) = op1(j(e22),j(e23)),
inference(forward_demodulation,[status(thm)],[f91,f152]) ).
fof(f513,plain,
( h(e10) = e21
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f271,f165]) ).
fof(f676,plain,
( e21 = op2(h(e10),h(e10))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f178,f334]) ).
fof(f677,plain,
( e21 = op2(e21,h(e10))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f178,f676]) ).
fof(f678,plain,
( e21 = op2(e21,e21)
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f178,f677]) ).
fof(f679,plain,
( e21 = e20
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f84,f678]) ).
fof(f680,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f679,f18]) ).
fof(f681,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f680]) ).
fof(f726,plain,
( e11 = op1(j(e22),j(e23))
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f258,f372]) ).
fof(f727,plain,
( e11 = j(e20)
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f372,f726]) ).
fof(f732,plain,
( j(e20) = op1(j(e20),e11)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f258,f359]) ).
fof(f733,plain,
( e11 = op1(j(e20),e11)
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f727,f732]) ).
fof(f734,plain,
( e11 = op1(e11,e11)
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f727,f733]) ).
fof(f735,plain,
( e11 = e14
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f59,f734]) ).
fof(f736,plain,
( $false
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f735,f14]) ).
fof(f737,plain,
~ spl0_26,
inference(contradiction_clause,[status(thm)],[f736]) ).
fof(f747,plain,
( spl0_1
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f513,f177,f270]) ).
fof(f781,plain,
( j(e20) = op1(e12,j(e21))
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f277,f365]) ).
fof(f782,plain,
( j(e20) = op1(e12,e12)
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f277,f781]) ).
fof(f783,plain,
( j(e20) = e14
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f65,f782]) ).
fof(f784,plain,
( $false
| spl0_29
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f783,f268]) ).
fof(f785,plain,
( spl0_29
| ~ spl0_32 ),
inference(contradiction_clause,[status(thm)],[f784]) ).
fof(f843,plain,
( h(e11) = op2(h(e14),e22)
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f213,f356]) ).
fof(f868,plain,
( h(e14) = op2(h(e12),e22)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f213,f346]) ).
fof(f869,plain,
( h(e14) = op2(e22,e22)
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f213,f868]) ).
fof(f870,plain,
( h(e14) = e23
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f90,f869]) ).
fof(f920,plain,
( h(e11) = e21
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f274,f165]) ).
fof(f921,plain,
( spl0_6
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f920,f193,f273]) ).
fof(f999,plain,
( h(e14) = e21
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f283,f165]) ).
fof(f1000,plain,
( spl0_21
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f999,f241,f282]) ).
fof(f1022,plain,
( j(e20) = e11
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f191,f170]) ).
fof(f1023,plain,
( spl0_26
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f1022,f257,f190]) ).
fof(f1065,plain,
( e14 = op1(j(e20),j(e20))
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f267,f359]) ).
fof(f1066,plain,
( e14 = op1(e14,j(e20))
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f267,f1065]) ).
fof(f1067,plain,
( e14 = op1(e14,e14)
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f267,f1066]) ).
fof(f1068,plain,
( e14 = e10
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f77,f1067]) ).
fof(f1069,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f1068,f11]) ).
fof(f1070,plain,
~ spl0_29,
inference(contradiction_clause,[status(thm)],[f1069]) ).
fof(f1073,plain,
( j(e21) = e11
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f194,f170]) ).
fof(f1076,plain,
( j(e20) = op1(e11,j(e21))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1073,f365]) ).
fof(f1077,plain,
( j(e20) = op1(e11,e11)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1073,f1076]) ).
fof(f1078,plain,
( j(e20) = e14
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f59,f1077]) ).
fof(f1084,plain,
( e11 = op1(j(e21),j(e20))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1073,f364]) ).
fof(f1085,plain,
( e11 = op1(e11,j(e20))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1073,f1084]) ).
fof(f1086,plain,
( e11 = op1(e11,e14)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1078,f1085]) ).
fof(f1087,plain,
( e11 = e12
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f62,f1086]) ).
fof(f1088,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f1087,f12]) ).
fof(f1089,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f1088]) ).
fof(f1117,plain,
( h(e11) = op2(e23,e22)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f870,f843]) ).
fof(f1118,plain,
( h(e11) = e21
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f95,f1117]) ).
fof(f1119,plain,
( $false
| spl0_6
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f1118,f195]) ).
fof(f1120,plain,
( spl0_6
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f1119]) ).
fof(f1203,plain,
( j(e20) = op1(e13,j(e21))
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f280,f365]) ).
fof(f1204,plain,
( j(e20) = op1(e13,e13)
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f280,f1203]) ).
fof(f1205,plain,
( j(e20) = e14
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f71,f1204]) ).
fof(f1206,plain,
( e13 = op1(j(e21),j(e20))
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f280,f364]) ).
fof(f1207,plain,
( e13 = op1(e13,j(e20))
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f280,f1206]) ).
fof(f1208,plain,
( e13 = op1(e13,e14)
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f1205,f1207]) ).
fof(f1209,plain,
( e13 = e11
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f72,f1208]) ).
fof(f1210,plain,
( $false
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f1209,f13]) ).
fof(f1211,plain,
~ spl0_33,
inference(contradiction_clause,[status(thm)],[f1210]) ).
fof(f1253,plain,
( h(e14) = e21
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f283,f165]) ).
fof(f1263,plain,
( j(e24) = op1(j(e22),e14)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f283,f370]) ).
fof(f1264,plain,
( j(e24) = op1(e14,j(e22))
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f283,f366]) ).
fof(f1273,plain,
( h(e10) = op2(h(e14),e21)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f242,f358]) ).
fof(f1274,plain,
( h(e10) = op2(e21,e21)
| ~ spl0_34
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f1253,f1273]) ).
fof(f1275,plain,
( h(e10) = e20
| ~ spl0_34
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f84,f1274]) ).
fof(f1315,plain,
( j(e22) = e11
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f197,f170]) ).
fof(f1439,plain,
( h(e11) = op2(e21,h(e12))
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f1253,f356]) ).
fof(f1441,plain,
( h(e12) = op2(h(e11),e21)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f1253,f343]) ).
fof(f1482,plain,
( h(e11) = op2(e24,h(e10))
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f203,f339]) ).
fof(f1483,plain,
( h(e11) = op2(e24,e20)
| ~ spl0_34
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f1275,f1482]) ).
fof(f1484,plain,
( h(e11) = e24
| ~ spl0_34
| ~ spl0_21
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f98,f1483]) ).
fof(f1519,plain,
( j(e24) = op1(e14,e11)
| ~ spl0_7
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f1315,f1264]) ).
fof(f1520,plain,
( j(e24) = e13
| ~ spl0_7
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f74,f1519]) ).
fof(f1521,plain,
( j(e24) = op1(e11,e14)
| ~ spl0_7
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f1315,f1263]) ).
fof(f1522,plain,
( e13 = op1(e11,e14)
| ~ spl0_7
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f1520,f1521]) ).
fof(f1523,plain,
( e13 = e12
| ~ spl0_7
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f62,f1522]) ).
fof(f1524,plain,
( $false
| ~ spl0_7
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f1523,f15]) ).
fof(f1525,plain,
( ~ spl0_7
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f1524]) ).
fof(f1557,plain,
( h(e12) = op2(e24,e21)
| ~ spl0_21
| ~ spl0_9
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f1484,f1441]) ).
fof(f1558,plain,
( h(e12) = e23
| ~ spl0_21
| ~ spl0_9
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f99,f1557]) ).
fof(f1559,plain,
( e24 = op2(e21,h(e12))
| ~ spl0_21
| ~ spl0_9
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f1484,f1439]) ).
fof(f1560,plain,
( e24 = op2(e21,e23)
| ~ spl0_21
| ~ spl0_9
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f1558,f1559]) ).
fof(f1561,plain,
( e24 = e22
| ~ spl0_21
| ~ spl0_9
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f86,f1560]) ).
fof(f1562,plain,
( $false
| ~ spl0_21
| ~ spl0_9
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f1561,f26]) ).
fof(f1563,plain,
( ~ spl0_21
| ~ spl0_9
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f1562]) ).
fof(f1637,plain,
( h(e12) = op2(e23,e21)
| ~ spl0_8
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f200,f1441]) ).
fof(f1638,plain,
( h(e12) = e22
| ~ spl0_8
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f94,f1637]) ).
fof(f1639,plain,
( $false
| spl0_12
| ~ spl0_8
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f1638,f214]) ).
fof(f1640,plain,
( spl0_12
| ~ spl0_8
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f1639]) ).
fof(f1641,plain,
$false,
inference(sat_refutation,[status(thm)],[f205,f285,f681,f737,f747,f785,f921,f1000,f1023,f1070,f1089,f1120,f1211,f1525,f1563,f1640]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG076+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:42:43 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.19/0.41 % Refutation found
% 0.19/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.42 % Elapsed time: 0.065940 seconds
% 0.19/0.42 % CPU time: 0.419041 seconds
% 0.19/0.42 % Total memory used: 16.672 MB
% 0.19/0.42 % Net memory used: 16.379 MB
%------------------------------------------------------------------------------