TSTP Solution File: ALG085+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG085+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 0.20s 0.44s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 155 ( 56 unt; 0 def)
% Number of atoms : 649 ( 534 equ)
% Maximal formula atoms : 110 ( 4 avg)
% Number of connectives : 606 ( 112 ~; 211 |; 271 &)
% ( 10 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 11 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) = 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/sandbox/benchmark/theBenchmark.p') ).
fof(f6,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f9,plain,
e10 != e12,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f17,plain,
e13 != e14,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f21,plain,
e20 != e24,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f25,plain,
e22 != e23,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f53,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f59,plain,
op1(e11,e11) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f61,plain,
op1(e11,e13) = e12,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e13,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f66,plain,
op1(e12,e13) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f67,plain,
op1(e12,e14) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f71,plain,
op1(e13,e13) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f72,plain,
op1(e13,e14) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f75,plain,
op1(e14,e12) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f76,plain,
op1(e14,e13) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f77,plain,
op1(e14,e14) = e12,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f80,plain,
op2(e20,e22) = e22,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f84,plain,
op2(e21,e21) = e22,
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(f92,plain,
op2(e22,e24) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f95,plain,
op2(e23,e22) = e20,
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(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(f111,plain,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = 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(f120,plain,
h(op1(e11,e11)) = op2(h(e11),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(f136,plain,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f137,plain,
h(op1(e14,e13)) = op2(h(e14),h(e13)),
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(f141,plain,
j(op2(e20,e22)) = op1(j(e20),j(e22)),
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(f151,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
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(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(f158,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f166,plain,
h(j(e22)) = e22,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f171,plain,
j(h(e12)) = e12,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f180,plain,
( spl0_2
<=> h(e10) = e22 ),
introduced(split_symbol_definition) ).
fof(f181,plain,
( h(e10) = e22
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f180]) ).
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(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(f211,plain,
( h(e12) != e21
| spl0_11 ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f244,plain,
( spl0_22
<=> h(e14) = e22 ),
introduced(split_symbol_definition) ).
fof(f245,plain,
( h(e14) = e22
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(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(f286,plain,
( spl0_35
<=> j(e22) = e10 ),
introduced(split_symbol_definition) ).
fof(f287,plain,
( j(e22) = e10
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(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(f292,plain,
( spl0_37
<=> j(e22) = e12 ),
introduced(split_symbol_definition) ).
fof(f293,plain,
( j(e22) = e12
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( spl0_38
<=> j(e22) = e13 ),
introduced(split_symbol_definition) ).
fof(f296,plain,
( j(e22) = e13
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f297,plain,
( j(e22) != e13
| spl0_38 ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,plain,
( spl0_39
<=> j(e22) = e14 ),
introduced(split_symbol_definition) ).
fof(f299,plain,
( j(e22) = e14
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,plain,
( spl0_35
| spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f111,f286,f289,f292,f295,f298]) ).
fof(f334,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[status(thm)],[f53,f114]) ).
fof(f340,plain,
h(e14) = op2(h(e11),h(e11)),
inference(forward_demodulation,[status(thm)],[f59,f120]) ).
fof(f348,plain,
h(e11) = op2(h(e12),h(e14)),
inference(forward_demodulation,[status(thm)],[f67,f128]) ).
fof(f356,plain,
h(e11) = op2(h(e14),h(e12)),
inference(forward_demodulation,[status(thm)],[f75,f136]) ).
fof(f357,plain,
h(e10) = op2(h(e14),h(e13)),
inference(forward_demodulation,[status(thm)],[f76,f137]) ).
fof(f358,plain,
h(e12) = op2(h(e14),h(e14)),
inference(forward_demodulation,[status(thm)],[f77,f138]) ).
fof(f361,plain,
j(e22) = op1(j(e20),j(e22)),
inference(forward_demodulation,[status(thm)],[f80,f141]) ).
fof(f365,plain,
j(e22) = op1(j(e21),j(e21)),
inference(forward_demodulation,[status(thm)],[f84,f145]) ).
fof(f371,plain,
j(e23) = op1(j(e22),j(e22)),
inference(forward_demodulation,[status(thm)],[f90,f151]) ).
fof(f372,plain,
j(e24) = op1(j(e22),j(e23)),
inference(forward_demodulation,[status(thm)],[f91,f152]) ).
fof(f373,plain,
j(e21) = op1(j(e22),j(e24)),
inference(forward_demodulation,[status(thm)],[f92,f153]) ).
fof(f376,plain,
j(e20) = op1(j(e23),j(e22)),
inference(forward_demodulation,[status(thm)],[f95,f156]) ).
fof(f378,plain,
j(e22) = op1(j(e23),j(e24)),
inference(forward_demodulation,[status(thm)],[f97,f158]) ).
fof(f501,plain,
( h(e10) = e22
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f287,f166]) ).
fof(f783,plain,
( spl0_2
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f501,f180,f286]) ).
fof(f789,plain,
( h(e12) = op2(h(e14),e22)
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f245,f358]) ).
fof(f790,plain,
( h(e12) = op2(e22,e22)
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f245,f789]) ).
fof(f791,plain,
( h(e12) = e23
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f90,f790]) ).
fof(f871,plain,
( h(e11) = e22
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f290,f166]) ).
fof(f872,plain,
( spl0_7
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f871,f196,f289]) ).
fof(f905,plain,
( j(e21) = e12
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f210,f171]) ).
fof(f906,plain,
( spl0_32
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f905,f276,f209]) ).
fof(f930,plain,
( h(e14) = e22
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f299,f166]) ).
fof(f931,plain,
( spl0_22
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f930,f244,f298]) ).
fof(f944,plain,
( h(e14) = op2(e22,h(e11))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f197,f340]) ).
fof(f945,plain,
( h(e14) = op2(e22,e22)
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f197,f944]) ).
fof(f946,plain,
( h(e14) = e23
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f90,f945]) ).
fof(f1065,plain,
( h(e12) = op2(e23,h(e14))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f946,f358]) ).
fof(f1066,plain,
( h(e12) = op2(e23,e23)
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f946,f1065]) ).
fof(f1067,plain,
( h(e12) = e21
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f96,f1066]) ).
fof(f1068,plain,
( $false
| spl0_11
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1067,f211]) ).
fof(f1069,plain,
( spl0_11
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f1068]) ).
fof(f1106,plain,
( h(e11) = op2(e22,h(e12))
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f245,f356]) ).
fof(f1107,plain,
( h(e11) = op2(e22,e23)
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f791,f1106]) ).
fof(f1108,plain,
( h(e11) = e24
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f91,f1107]) ).
fof(f1109,plain,
( e24 = op2(h(e12),h(e14))
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f1108,f348]) ).
fof(f1110,plain,
( e24 = op2(e23,h(e14))
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f791,f1109]) ).
fof(f1111,plain,
( e24 = op2(e23,e22)
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f245,f1110]) ).
fof(f1112,plain,
( e24 = e20
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f95,f1111]) ).
fof(f1113,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f1112,f21]) ).
fof(f1114,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f1113]) ).
fof(f1118,plain,
( h(e10) = op2(h(e10),e22)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f181,f334]) ).
fof(f1120,plain,
( e22 = op2(h(e14),h(e13))
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f181,f357]) ).
fof(f1160,plain,
( e13 = op1(j(e21),j(e21))
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f296,f365]) ).
fof(f1161,plain,
( e13 = j(e22)
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f365,f1160]) ).
fof(f1165,plain,
( j(e22) = op1(j(e20),e13)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f296,f361]) ).
fof(f1166,plain,
( e13 = op1(j(e20),e13)
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f1161,f1165]) ).
fof(f1168,plain,
( j(e20) = op1(j(e23),e13)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f296,f376]) ).
fof(f1198,plain,
( e22 = h(e10)
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f357,f1120]) ).
fof(f1199,plain,
( h(e10) = op2(e22,e22)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f181,f1118]) ).
fof(f1200,plain,
( e22 = op2(e22,e22)
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f1198,f1199]) ).
fof(f1201,plain,
( e22 = e23
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f90,f1200]) ).
fof(f1202,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f1201,f25]) ).
fof(f1203,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f1202]) ).
fof(f1359,plain,
( e12 = op1(j(e22),j(e24))
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f277,f373]) ).
fof(f1360,plain,
( e12 = j(e21)
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f373,f1359]) ).
fof(f1363,plain,
( j(e22) = op1(j(e21),e12)
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f277,f365]) ).
fof(f1364,plain,
( j(e22) = op1(e12,e12)
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f1360,f1363]) ).
fof(f1365,plain,
( j(e22) = e13
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f65,f1364]) ).
fof(f1400,plain,
( e13 != e13
| ~ spl0_32
| spl0_38 ),
inference(forward_demodulation,[status(thm)],[f1365,f297]) ).
fof(f1401,plain,
( $false
| ~ spl0_32
| spl0_38 ),
inference(trivial_equality_resolution,[status(esa)],[f1400]) ).
fof(f1402,plain,
( ~ spl0_32
| spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1401]) ).
fof(f1410,plain,
( j(e23) = op1(j(e22),e13)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f1161,f371]) ).
fof(f1411,plain,
( j(e23) = op1(e13,e13)
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f296,f1410]) ).
fof(f1412,plain,
( j(e23) = e11
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f71,f1411]) ).
fof(f1421,plain,
( j(e20) = op1(e11,e13)
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f1412,f1168]) ).
fof(f1422,plain,
( j(e20) = e12
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f61,f1421]) ).
fof(f1423,plain,
( e13 = op1(e12,e13)
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f1422,f1166]) ).
fof(f1424,plain,
( e13 = e14
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f66,f1423]) ).
fof(f1425,plain,
( $false
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f1424,f17]) ).
fof(f1426,plain,
~ spl0_38,
inference(contradiction_clause,[status(thm)],[f1425]) ).
fof(f1519,plain,
( e12 = op1(j(e21),j(e21))
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f293,f365]) ).
fof(f1535,plain,
( j(e22) = e12
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f1519,f365]) ).
fof(f1555,plain,
( j(e23) = op1(e12,j(e22))
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f1535,f371]) ).
fof(f1556,plain,
( j(e23) = op1(e12,e12)
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f1535,f1555]) ).
fof(f1557,plain,
( j(e23) = e13
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f65,f1556]) ).
fof(f1558,plain,
( j(e24) = op1(e12,j(e23))
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f1535,f372]) ).
fof(f1559,plain,
( j(e24) = op1(e12,e13)
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f1557,f1558]) ).
fof(f1560,plain,
( j(e24) = e14
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f66,f1559]) ).
fof(f1561,plain,
( e12 = op1(j(e23),j(e24))
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f1535,f378]) ).
fof(f1562,plain,
( e12 = op1(e13,j(e24))
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f1557,f1561]) ).
fof(f1563,plain,
( e12 = op1(e13,e14)
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f1560,f1562]) ).
fof(f1564,plain,
( e12 = e10
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f72,f1563]) ).
fof(f1565,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f1564,f9]) ).
fof(f1566,plain,
~ spl0_37,
inference(contradiction_clause,[status(thm)],[f1565]) ).
fof(f1567,plain,
$false,
inference(sat_refutation,[status(thm)],[f301,f783,f872,f906,f931,f1069,f1114,f1203,f1402,f1426,f1566]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG085+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 23:24:20 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.20/0.44 % Refutation found
% 0.20/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.47 % Elapsed time: 0.109911 seconds
% 0.20/0.47 % CPU time: 0.761967 seconds
% 0.20/0.47 % Total memory used: 18.815 MB
% 0.20/0.47 % Net memory used: 18.358 MB
%------------------------------------------------------------------------------