TSTP Solution File: ALG083+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG083+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 0.15s 0.37s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 166 ( 59 unt; 0 def)
% Number of atoms : 679 ( 546 equ)
% Maximal formula atoms : 110 ( 4 avg)
% Number of connectives : 648 ( 135 ~; 231 |; 271 &)
% ( 9 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 10 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) = 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/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(f10,plain,
e10 != e13,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f11,plain,
e10 != e14,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f13,plain,
e11 != e13,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f15,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f22,plain,
e21 != e22,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f54,plain,
op1(e10,e11) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f59,plain,
op1(e11,e11) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f60,plain,
op1(e11,e12) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f64,plain,
op1(e12,e11) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e13,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f70,plain,
op1(e13,e12) = 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(f75,plain,
op1(e14,e12) = 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(f84,plain,
op2(e21,e21) = 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(f92,plain,
op2(e22,e24) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f95,plain,
op2(e23,e22) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e24,
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(f106,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 ),
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(f120,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
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(f131,plain,
h(op1(e13,e12)) = op2(h(e13),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(f148,plain,
j(op2(e21,e24)) = op1(j(e21),j(e24)),
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(f153,plain,
j(op2(e22,e24)) = op1(j(e22),j(e24)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f156,plain,
j(op2(e23,e22)) = op1(j(e23),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(f162,plain,
j(op2(e24,e23)) = op1(j(e24),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(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(f172,plain,
j(h(e13)) = e13,
inference(cnf_transformation,[status(esa)],[f103]) ).
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(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(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(f289,plain,
( spl0_36
<=> j(e22) = e11 ),
introduced(split_symbol_definition) ).
fof(f290,plain,
( j(e22) = e11
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f291,plain,
( j(e22) != e11
| spl0_36 ),
inference(component_clause,[status(thm)],[f289]) ).
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(f335,plain,
h(e11) = op2(h(e10),h(e11)),
inference(forward_demodulation,[status(thm)],[f54,f115]) ).
fof(f340,plain,
h(e14) = op2(h(e11),h(e11)),
inference(forward_demodulation,[status(thm)],[f59,f120]) ).
fof(f346,plain,
h(e13) = op2(h(e12),h(e12)),
inference(forward_demodulation,[status(thm)],[f65,f126]) ).
fof(f351,plain,
h(e14) = op2(h(e13),h(e12)),
inference(forward_demodulation,[status(thm)],[f70,f131]) ).
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(f368,plain,
j(e23) = op1(j(e21),j(e24)),
inference(forward_demodulation,[status(thm)],[f87,f148]) ).
fof(f371,plain,
j(e23) = op1(j(e22),j(e22)),
inference(forward_demodulation,[status(thm)],[f90,f151]) ).
fof(f373,plain,
j(e21) = op1(j(e22),j(e24)),
inference(forward_demodulation,[status(thm)],[f92,f153]) ).
fof(f376,plain,
j(e21) = op1(j(e23),j(e22)),
inference(forward_demodulation,[status(thm)],[f95,f156]) ).
fof(f377,plain,
j(e24) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f96,f157]) ).
fof(f382,plain,
j(e21) = op1(j(e24),j(e23)),
inference(forward_demodulation,[status(thm)],[f101,f162]) ).
fof(f383,plain,
j(e22) = op1(j(e24),j(e24)),
inference(forward_demodulation,[status(thm)],[f102,f163]) ).
fof(f597,plain,
( j(e20) = e12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f207,f171]) ).
fof(f682,plain,
( h(e13) = op2(e21,h(e12))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f210,f346]) ).
fof(f683,plain,
( h(e13) = op2(e21,e21)
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f210,f682]) ).
fof(f684,plain,
( h(e13) = e20
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f84,f683]) ).
fof(f809,plain,
( spl0_27
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f597,f260,f206]) ).
fof(f888,plain,
( j(e20) = op1(j(e20),e12)
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f261,f359]) ).
fof(f894,plain,
( h(e11) = e22
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f290,f166]) ).
fof(f895,plain,
( spl0_7
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f894,f196,f289]) ).
fof(f924,plain,
( j(e20) = e13
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f684,f172]) ).
fof(f937,plain,
( h(e11) = op2(e20,h(e13))
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f684,f352]) ).
fof(f938,plain,
( h(e11) = op2(e20,e20)
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f684,f937]) ).
fof(f939,plain,
( h(e11) = e20
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f78,f938]) ).
fof(f940,plain,
( j(e20) = e11
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f939,f170]) ).
fof(f941,plain,
( e13 = e11
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f924,f940]) ).
fof(f942,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f941,f13]) ).
fof(f943,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f942]) ).
fof(f945,plain,
( j(e21) = op1(e12,j(e23))
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f325,f382]) ).
fof(f954,plain,
( j(e23) = op1(j(e21),e12)
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f325,f368]) ).
fof(f959,plain,
( j(e22) = op1(e12,j(e24))
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f325,f383]) ).
fof(f960,plain,
( j(e22) = op1(e12,e12)
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f325,f959]) ).
fof(f961,plain,
( j(e22) = e13
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f65,f960]) ).
fof(f966,plain,
( j(e21) = op1(e13,j(e24))
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f961,f373]) ).
fof(f967,plain,
( j(e21) = op1(e13,e12)
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f325,f966]) ).
fof(f968,plain,
( j(e21) = e14
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f70,f967]) ).
fof(f973,plain,
( h(e11) = op2(h(e10),e22)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f197,f335]) ).
fof(f1035,plain,
( e22 = op2(h(e10),e22)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f197,f973]) ).
fof(f1041,plain,
( h(e11) = op2(h(e10),e22)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f197,f335]) ).
fof(f1042,plain,
( h(e11) = e22
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f1035,f1041]) ).
fof(f1225,plain,
( j(e22) = e11
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f1042,f170]) ).
fof(f1258,plain,
( j(e23) = op1(j(e22),e11)
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f290,f371]) ).
fof(f1259,plain,
( j(e23) = op1(e11,e11)
| ~ spl0_7
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f1225,f1258]) ).
fof(f1260,plain,
( j(e23) = e14
| ~ spl0_7
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f59,f1259]) ).
fof(f1276,plain,
( j(e24) = e12
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f219,f171]) ).
fof(f1277,plain,
( spl0_47
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f1276,f324,f218]) ).
fof(f1298,plain,
( j(e21) = op1(e14,j(e22))
| ~ spl0_7
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f1260,f376]) ).
fof(f1299,plain,
( j(e21) = op1(e14,e11)
| ~ spl0_7
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f1225,f1298]) ).
fof(f1300,plain,
( j(e21) = e13
| ~ spl0_7
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f74,f1299]) ).
fof(f1304,plain,
( j(e24) = op1(e14,j(e23))
| ~ spl0_7
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f1260,f377]) ).
fof(f1305,plain,
( j(e24) = op1(e14,e14)
| ~ spl0_7
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f1260,f1304]) ).
fof(f1306,plain,
( j(e24) = e12
| ~ spl0_7
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f77,f1305]) ).
fof(f1325,plain,
( j(e21) = op1(e11,j(e24))
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f1225,f373]) ).
fof(f1326,plain,
( e13 = op1(e11,j(e24))
| ~ spl0_36
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f1300,f1325]) ).
fof(f1327,plain,
( e13 = op1(e11,e12)
| ~ spl0_36
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f1306,f1326]) ).
fof(f1328,plain,
( e13 = e10
| ~ spl0_36
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f60,f1327]) ).
fof(f1329,plain,
( $false
| ~ spl0_36
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1328,f10]) ).
fof(f1330,plain,
( ~ spl0_36
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1329]) ).
fof(f1331,plain,
( j(e20) = op1(e12,e12)
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f261,f888]) ).
fof(f1332,plain,
( j(e20) = e13
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f65,f1331]) ).
fof(f1333,plain,
( e13 = e12
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f1332,f261]) ).
fof(f1334,plain,
( $false
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f1333,f15]) ).
fof(f1335,plain,
~ spl0_27,
inference(contradiction_clause,[status(thm)],[f1334]) ).
fof(f1359,plain,
( h(e13) = op2(h(e12),e22)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f213,f346]) ).
fof(f1374,plain,
( j(e23) = op1(e14,e12)
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f968,f954]) ).
fof(f1375,plain,
( j(e23) = e11
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f75,f1374]) ).
fof(f1379,plain,
( e14 = op1(e12,j(e23))
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f968,f945]) ).
fof(f1380,plain,
( e14 = op1(e12,e11)
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f1375,f1379]) ).
fof(f1381,plain,
( e14 = e10
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f64,f1380]) ).
fof(f1382,plain,
( $false
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1381,f11]) ).
fof(f1383,plain,
~ spl0_47,
inference(contradiction_clause,[status(thm)],[f1382]) ).
fof(f1491,plain,
( h(e13) = op2(e22,e22)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f213,f1359]) ).
fof(f1492,plain,
( h(e13) = e23
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f90,f1491]) ).
fof(f1506,plain,
( h(e14) = op2(h(e13),e22)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f213,f351]) ).
fof(f1507,plain,
( h(e14) = op2(e23,e22)
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f1492,f1506]) ).
fof(f1508,plain,
( h(e14) = e21
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f95,f1507]) ).
fof(f1527,plain,
( h(e11) = op2(e23,h(e13))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f1492,f352]) ).
fof(f1528,plain,
( h(e11) = op2(e23,e23)
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f1492,f1527]) ).
fof(f1529,plain,
( h(e11) = e24
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f96,f1528]) ).
fof(f1562,plain,
( e21 = op2(h(e11),h(e11))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f1508,f340]) ).
fof(f1563,plain,
( e21 = op2(e24,h(e11))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f1529,f1562]) ).
fof(f1564,plain,
( e21 = op2(e24,e24)
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f1529,f1563]) ).
fof(f1565,plain,
( e21 = e22
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f102,f1564]) ).
fof(f1566,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f1565,f22]) ).
fof(f1567,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f1566]) ).
fof(f1620,plain,
( j(e23) = e12
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f216,f171]) ).
fof(f1638,plain,
( j(e24) = op1(e12,j(e23))
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f1620,f377]) ).
fof(f1639,plain,
( j(e24) = op1(e12,e12)
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f1620,f1638]) ).
fof(f1640,plain,
( j(e24) = e13
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f65,f1639]) ).
fof(f1690,plain,
( j(e22) = op1(e13,j(e24))
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f1640,f383]) ).
fof(f1691,plain,
( j(e22) = op1(e13,e13)
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f1640,f1690]) ).
fof(f1692,plain,
( j(e22) = e11
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f71,f1691]) ).
fof(f1693,plain,
( e11 != e11
| ~ spl0_13
| spl0_36 ),
inference(forward_demodulation,[status(thm)],[f1692,f291]) ).
fof(f1694,plain,
( $false
| ~ spl0_13
| spl0_36 ),
inference(trivial_equality_resolution,[status(esa)],[f1693]) ).
fof(f1695,plain,
( ~ spl0_13
| spl0_36 ),
inference(contradiction_clause,[status(thm)],[f1694]) ).
fof(f1696,plain,
$false,
inference(sat_refutation,[status(thm)],[f221,f809,f895,f943,f1277,f1330,f1335,f1383,f1567,f1695]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : ALG083+1 : TPTP v8.1.2. Released v2.7.0.
% 0.09/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n013.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Apr 29 23:26:04 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.6.0
% 0.15/0.37 % Refutation found
% 0.15/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.39 % Elapsed time: 0.081565 seconds
% 0.15/0.39 % CPU time: 0.559826 seconds
% 0.15/0.39 % Total memory used: 19.816 MB
% 0.15/0.39 % Net memory used: 19.292 MB
%------------------------------------------------------------------------------