TSTP Solution File: ALG080+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG080+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:09:27 EDT 2024
% Result : Theorem 0.18s 0.43s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 197 ( 65 unt; 0 def)
% Number of atoms : 738 ( 571 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 693 ( 152 ~; 253 |; 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) = e10
& op1(e11,e12) = e14
& op1(e11,e13) = e12
& op1(e11,e14) = e13
& op1(e12,e10) = e12
& op1(e12,e11) = e14
& op1(e12,e12) = e13
& op1(e12,e13) = e10
& op1(e12,e14) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e11
& op1(e13,e13) = e14
& op1(e13,e14) = e10
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e10
& op1(e14,e13) = e11
& 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) = e22
& op2(e21,e22) = e24
& op2(e21,e23) = e20
& op2(e21,e24) = e23
& op2(e22,e20) = e22
& op2(e22,e21) = e20
& op2(e22,e22) = e23
& op2(e22,e23) = e24
& op2(e22,e24) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e24
& op2(e23,e22) = e20
& op2(e23,e23) = e21
& op2(e23,e24) = e22
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e21
& op2(e24,e23) = e22
& op2(e24,e24) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
e10 != e11,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f17,plain,
e13 != e14,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f22,plain,
e21 != e22,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f23,plain,
e21 != e23,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f24,plain,
e21 != e24,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f26,plain,
e22 != e24,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f53,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f54,plain,
op1(e10,e11) = e11,
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(f64,plain,
op1(e12,e11) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e13,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f67,plain,
op1(e12,e14) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f70,plain,
op1(e13,e12) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f71,plain,
op1(e13,e13) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f74,plain,
op1(e14,e11) = e13,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f76,plain,
op1(e14,e13) = e11,
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(f83,plain,
op2(e21,e20) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f84,plain,
op2(e21,e21) = e22,
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) = e20,
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) = e24,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f97,plain,
op2(e23,e24) = e22,
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(f105,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f112,plain,
( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = 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(f115,plain,
h(op1(e10,e11)) = op2(h(e10),h(e11)),
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(f125,plain,
h(op1(e12,e11)) = op2(h(e12),h(e11)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f128,plain,
h(op1(e12,e14)) = op2(h(e12),h(e14)),
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(f147,plain,
j(op2(e21,e23)) = op1(j(e21),j(e23)),
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(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(f165,plain,
h(j(e21)) = e21,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f167,plain,
h(j(e23)) = e23,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f170,plain,
j(h(e11)) = e11,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f172,plain,
j(h(e13)) = e13,
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(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(f247,plain,
( spl0_23
<=> h(e14) = e23 ),
introduced(split_symbol_definition) ).
fof(f248,plain,
( h(e14) = e23
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f254,plain,
( spl0_25
<=> j(e20) = e10 ),
introduced(split_symbol_definition) ).
fof(f255,plain,
( j(e20) = e10
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f256,plain,
( j(e20) != e10
| spl0_25 ),
inference(component_clause,[status(thm)],[f254]) ).
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(f272,plain,
( j(e21) != e10
| spl0_30 ),
inference(component_clause,[status(thm)],[f270]) ).
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(f305,plain,
( spl0_41
<=> j(e23) = e11 ),
introduced(split_symbol_definition) ).
fof(f306,plain,
( j(e23) = e11
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f305]) ).
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(f311,plain,
( spl0_43
<=> j(e23) = e13 ),
introduced(split_symbol_definition) ).
fof(f312,plain,
( j(e23) = e13
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,plain,
( spl0_44
<=> j(e23) = e14 ),
introduced(split_symbol_definition) ).
fof(f315,plain,
( j(e23) = e14
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43
| spl0_44 ),
inference(split_clause,[status(thm)],[f112,f302,f305,f308,f311,f314]) ).
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(f334,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[status(thm)],[f53,f114]) ).
fof(f335,plain,
h(e11) = op2(h(e10),h(e11)),
inference(forward_demodulation,[status(thm)],[f54,f115]) ).
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(f345,plain,
h(e14) = op2(h(e12),h(e11)),
inference(forward_demodulation,[status(thm)],[f64,f125]) ).
fof(f348,plain,
h(e11) = op2(h(e12),h(e14)),
inference(forward_demodulation,[status(thm)],[f67,f128]) ).
fof(f358,plain,
h(e12) = 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(f367,plain,
j(e20) = op1(j(e21),j(e23)),
inference(forward_demodulation,[status(thm)],[f86,f147]) ).
fof(f372,plain,
j(e24) = op1(j(e22),j(e23)),
inference(forward_demodulation,[status(thm)],[f91,f152]) ).
fof(f377,plain,
j(e21) = 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(f477,plain,
( h(e10) = e23
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f303,f167]) ).
fof(f493,plain,
( e10 = op1(j(e21),j(e23))
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f255,f367]) ).
fof(f516,plain,
( h(e10) = e21
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f271,f165]) ).
fof(f612,plain,
( j(e20) = e11
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f191,f170]) ).
fof(f680,plain,
( e21 = op2(h(e10),h(e10))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f178,f334]) ).
fof(f681,plain,
( e21 = op2(e21,h(e10))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f178,f680]) ).
fof(f682,plain,
( e21 = op2(e21,e21)
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f178,f681]) ).
fof(f683,plain,
( e21 = e22
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f84,f682]) ).
fof(f684,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f683,f22]) ).
fof(f685,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f684]) ).
fof(f701,plain,
( j(e21) = op1(e11,j(e23))
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f306,f377]) ).
fof(f702,plain,
( j(e21) = op1(e11,e11)
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f306,f701]) ).
fof(f703,plain,
( j(e21) = e10
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f59,f702]) ).
fof(f706,plain,
( e10 != e10
| ~ spl0_41
| spl0_30 ),
inference(forward_demodulation,[status(thm)],[f703,f272]) ).
fof(f707,plain,
( $false
| ~ spl0_41
| spl0_30 ),
inference(trivial_equality_resolution,[status(esa)],[f706]) ).
fof(f708,plain,
( ~ spl0_41
| spl0_30 ),
inference(contradiction_clause,[status(thm)],[f707]) ).
fof(f712,plain,
( e11 = op1(j(e20),j(e20))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f612,f359]) ).
fof(f713,plain,
( e11 = op1(e11,j(e20))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f612,f712]) ).
fof(f714,plain,
( e11 = op1(e11,e11)
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f612,f713]) ).
fof(f715,plain,
( e11 = e10
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f59,f714]) ).
fof(f716,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f715,f8]) ).
fof(f717,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f716]) ).
fof(f758,plain,
( spl0_1
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f516,f177,f270]) ).
fof(f860,plain,
( j(e21) = op1(e12,j(e23))
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f309,f377]) ).
fof(f861,plain,
( j(e21) = op1(e12,e12)
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f309,f860]) ).
fof(f862,plain,
( j(e21) = e13
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f65,f861]) ).
fof(f878,plain,
( h(e10) = op2(e22,h(e11))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f197,f340]) ).
fof(f879,plain,
( h(e10) = op2(e22,e22)
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f197,f878]) ).
fof(f880,plain,
( h(e10) = e23
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f90,f879]) ).
fof(f881,plain,
( e22 = op2(h(e11),h(e10))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f197,f339]) ).
fof(f882,plain,
( e22 = op2(e22,h(e10))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f197,f881]) ).
fof(f883,plain,
( e22 = op2(e22,e23)
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f880,f882]) ).
fof(f884,plain,
( e22 = e24
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f91,f883]) ).
fof(f885,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f884,f26]) ).
fof(f886,plain,
~ spl0_7,
inference(contradiction_clause,[status(thm)],[f885]) ).
fof(f911,plain,
( e10 = op1(e13,j(e23))
| ~ spl0_42
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f862,f493]) ).
fof(f912,plain,
( e10 = op1(e13,e12)
| ~ spl0_42
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f309,f911]) ).
fof(f913,plain,
( e10 = e11
| ~ spl0_42
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f70,f912]) ).
fof(f914,plain,
( $false
| ~ spl0_42
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f913,f8]) ).
fof(f915,plain,
( ~ spl0_42
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f914]) ).
fof(f937,plain,
( e11 = op1(j(e22),j(e23))
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f322,f372]) ).
fof(f938,plain,
( e11 = j(e24)
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f372,f937]) ).
fof(f944,plain,
( j(e20) = op1(j(e24),e11)
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f322,f383]) ).
fof(f945,plain,
( j(e20) = op1(e11,e11)
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f938,f944]) ).
fof(f946,plain,
( j(e20) = e10
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f59,f945]) ).
fof(f970,plain,
( e10 != e10
| ~ spl0_46
| spl0_25 ),
inference(forward_demodulation,[status(thm)],[f946,f256]) ).
fof(f971,plain,
( $false
| ~ spl0_46
| spl0_25 ),
inference(trivial_equality_resolution,[status(esa)],[f970]) ).
fof(f972,plain,
( ~ spl0_46
| spl0_25 ),
inference(contradiction_clause,[status(thm)],[f971]) ).
fof(f1012,plain,
( j(e24) = e11
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f203,f170]) ).
fof(f1013,plain,
( spl0_46
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f1012,f321,f202]) ).
fof(f1019,plain,
( h(e11) = op2(h(e10),e24)
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f203,f335]) ).
fof(f1047,plain,
( e24 = op2(h(e10),e24)
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f203,f1019]) ).
fof(f1048,plain,
( e24 = op2(e23,e24)
| ~ spl0_40
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f477,f1047]) ).
fof(f1049,plain,
( e24 = e22
| ~ spl0_40
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f97,f1048]) ).
fof(f1050,plain,
( $false
| ~ spl0_40
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f1049,f26]) ).
fof(f1051,plain,
( ~ spl0_40
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f1050]) ).
fof(f1111,plain,
( h(e13) = e23
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f312,f167]) ).
fof(f1118,plain,
( j(e21) = op1(j(e23),e13)
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f312,f377]) ).
fof(f1128,plain,
( h(e12) = op2(e23,h(e14))
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f248,f358]) ).
fof(f1129,plain,
( h(e12) = op2(e23,e23)
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f248,f1128]) ).
fof(f1130,plain,
( h(e12) = e21
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f96,f1129]) ).
fof(f1131,plain,
( h(e11) = op2(e21,h(e14))
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f1130,f348]) ).
fof(f1132,plain,
( h(e11) = op2(e21,e23)
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f248,f1131]) ).
fof(f1133,plain,
( h(e11) = e20
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f86,f1132]) ).
fof(f1135,plain,
( e23 = op2(h(e12),h(e11))
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f248,f345]) ).
fof(f1136,plain,
( e23 = op2(e21,h(e11))
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f1130,f1135]) ).
fof(f1137,plain,
( e23 = op2(e21,e20)
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f1133,f1136]) ).
fof(f1138,plain,
( e23 = e21
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f83,f1137]) ).
fof(f1139,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1138,f23]) ).
fof(f1140,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f1139]) ).
fof(f1215,plain,
( h(e10) = op2(h(e11),e21)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f194,f340]) ).
fof(f1216,plain,
( h(e10) = op2(e21,e21)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f194,f1215]) ).
fof(f1217,plain,
( h(e10) = e22
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f84,f1216]) ).
fof(f1218,plain,
( h(e11) = op2(e21,h(e10))
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f194,f339]) ).
fof(f1219,plain,
( e21 = op2(e21,h(e10))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f194,f1218]) ).
fof(f1220,plain,
( e21 = op2(e21,e22)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1217,f1219]) ).
fof(f1221,plain,
( e21 = e24
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f85,f1220]) ).
fof(f1222,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f1221,f24]) ).
fof(f1223,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f1222]) ).
fof(f1424,plain,
( h(e14) = e23
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f315,f167]) ).
fof(f1425,plain,
( spl0_23
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1424,f247,f314]) ).
fof(f1531,plain,
( j(e23) = e13
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f1111,f172]) ).
fof(f1538,plain,
( j(e21) = op1(e13,e13)
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f1531,f1118]) ).
fof(f1539,plain,
( j(e21) = e14
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f71,f1538]) ).
fof(f1548,plain,
( j(e20) = op1(e14,j(e23))
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f1539,f367]) ).
fof(f1549,plain,
( j(e20) = op1(e14,e13)
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f1531,f1548]) ).
fof(f1550,plain,
( j(e20) = e11
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f76,f1549]) ).
fof(f1551,plain,
( e14 = op1(j(e21),j(e20))
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f1539,f364]) ).
fof(f1552,plain,
( e14 = op1(e14,j(e20))
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f1539,f1551]) ).
fof(f1553,plain,
( e14 = op1(e14,e11)
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f1550,f1552]) ).
fof(f1554,plain,
( e14 = e13
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f74,f1553]) ).
fof(f1555,plain,
( $false
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f1554,f17]) ).
fof(f1556,plain,
~ spl0_43,
inference(contradiction_clause,[status(thm)],[f1555]) ).
fof(f1559,plain,
( j(e23) = e11
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f200,f170]) ).
fof(f1560,plain,
( spl0_41
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f1559,f305,f199]) ).
fof(f1585,plain,
$false,
inference(sat_refutation,[status(thm)],[f205,f317,f685,f708,f717,f758,f886,f915,f972,f1013,f1051,f1140,f1223,f1425,f1556,f1560]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG080+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n004.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Apr 29 23:26:03 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.37 % Drodi V3.6.0
% 0.18/0.43 % Refutation found
% 0.18/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.45 % Elapsed time: 0.078271 seconds
% 0.18/0.45 % CPU time: 0.516280 seconds
% 0.18/0.45 % Total memory used: 18.925 MB
% 0.18/0.45 % Net memory used: 18.525 MB
%------------------------------------------------------------------------------