TSTP Solution File: ALG183+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG183+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 20:10:39 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 102 ( 38 unt; 0 def)
% Number of atoms : 550 ( 476 equ)
% Maximal formula atoms : 110 ( 5 avg)
% Number of connectives : 517 ( 69 ~; 177 |; 262 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op1(e10,e10) = e14
& op1(e10,e11) = e12
& op1(e10,e12) = e10
& op1(e10,e13) = e11
& op1(e10,e14) = e13
& op1(e11,e10) = e10
& op1(e11,e11) = e11
& op1(e11,e12) = e12
& op1(e11,e13) = e13
& op1(e11,e14) = e14
& op1(e12,e10) = e11
& op1(e12,e11) = e14
& op1(e12,e12) = e13
& op1(e12,e13) = e10
& op1(e12,e14) = e12
& op1(e13,e10) = e13
& op1(e13,e11) = e10
& op1(e13,e12) = e14
& op1(e13,e13) = e12
& op1(e13,e14) = e11
& op1(e14,e10) = e12
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e14
& op1(e14,e14) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e23
& op2(e20,e22) = e24
& op2(e20,e23) = e21
& op2(e20,e24) = e22
& op2(e21,e20) = e24
& op2(e21,e21) = e21
& op2(e21,e22) = e23
& op2(e21,e23) = e22
& op2(e21,e24) = e20
& op2(e22,e20) = e21
& op2(e22,e21) = e20
& op2(e22,e22) = e22
& op2(e22,e23) = e24
& op2(e22,e24) = e23
& op2(e23,e20) = e22
& op2(e23,e21) = e24
& op2(e23,e22) = e20
& op2(e23,e23) = e23
& op2(e23,e24) = e21
& op2(e24,e20) = e23
& op2(e24,e21) = e22
& op2(e24,e22) = e21
& op2(e24,e23) = e20
& op2(e24,e24) = e24 ),
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(f10,plain,
e10 != e13,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f11,plain,
e10 != e14,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f53,plain,
op1(e10,e10) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f64,plain,
op1(e12,e11) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f66,plain,
op1(e12,e13) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f73,plain,
op1(e14,e10) = e12,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f74,plain,
op1(e14,e11) = e13,
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) = e21,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f90,plain,
op2(e22,e22) = e22,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e23,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f102,plain,
op2(e24,e24) = e24,
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(f104,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 ),
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(f125,plain,
h(op1(e12,e11)) = op2(h(e12),h(e11)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f127,plain,
h(op1(e12,e13)) = op2(h(e12),h(e13)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f134,plain,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f135,plain,
h(op1(e14,e11)) = op2(h(e14),h(e11)),
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(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(f163,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f169,plain,
j(h(e10)) = e10,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f172,plain,
j(h(e13)) = e13,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f174,plain,
( spl0_0
<=> h(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f175,plain,
( h(e10) = e20
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f174]) ).
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(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(f183,plain,
( spl0_3
<=> h(e10) = e23 ),
introduced(split_symbol_definition) ).
fof(f184,plain,
( h(e10) = e23
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,plain,
( spl0_4
<=> h(e10) = e24 ),
introduced(split_symbol_definition) ).
fof(f187,plain,
( h(e10) = e24
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(split_clause,[status(thm)],[f104,f174,f177,f180,f183,f186]) ).
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(f318,plain,
( spl0_45
<=> j(e24) = e10 ),
introduced(split_symbol_definition) ).
fof(f319,plain,
( j(e24) = e10
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f334,plain,
h(e14) = op2(h(e10),h(e10)),
inference(forward_demodulation,[status(thm)],[f53,f114]) ).
fof(f345,plain,
h(e14) = op2(h(e12),h(e11)),
inference(forward_demodulation,[status(thm)],[f64,f125]) ).
fof(f347,plain,
h(e10) = op2(h(e12),h(e13)),
inference(forward_demodulation,[status(thm)],[f66,f127]) ).
fof(f354,plain,
h(e12) = op2(h(e14),h(e10)),
inference(forward_demodulation,[status(thm)],[f73,f134]) ).
fof(f355,plain,
h(e13) = op2(h(e14),h(e11)),
inference(forward_demodulation,[status(thm)],[f74,f135]) ).
fof(f359,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[status(thm)],[f78,f139]) ).
fof(f365,plain,
j(e21) = op1(j(e21),j(e21)),
inference(forward_demodulation,[status(thm)],[f84,f145]) ).
fof(f371,plain,
j(e22) = op1(j(e22),j(e22)),
inference(forward_demodulation,[status(thm)],[f90,f151]) ).
fof(f383,plain,
j(e24) = op1(j(e24),j(e24)),
inference(forward_demodulation,[status(thm)],[f102,f163]) ).
fof(f439,plain,
( e10 = op1(j(e24),j(e24))
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f319,f383]) ).
fof(f440,plain,
( e10 = op1(e10,j(e24))
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f319,f439]) ).
fof(f441,plain,
( e10 = op1(e10,e10)
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f319,f440]) ).
fof(f442,plain,
( e10 = e14
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f53,f441]) ).
fof(f443,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f442,f11]) ).
fof(f444,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f443]) ).
fof(f492,plain,
( e10 = op1(j(e22),j(e22))
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f287,f371]) ).
fof(f493,plain,
( e10 = op1(e10,j(e22))
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f287,f492]) ).
fof(f494,plain,
( e10 = op1(e10,e10)
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f287,f493]) ).
fof(f495,plain,
( e10 = e14
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f53,f494]) ).
fof(f496,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f495,f11]) ).
fof(f497,plain,
~ spl0_35,
inference(contradiction_clause,[status(thm)],[f496]) ).
fof(f619,plain,
( j(e20) = e10
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f175,f169]) ).
fof(f632,plain,
( e10 = op1(j(e20),j(e20))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f619,f359]) ).
fof(f633,plain,
( e10 = op1(e10,j(e20))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f619,f632]) ).
fof(f634,plain,
( e10 = op1(e10,e10)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f619,f633]) ).
fof(f635,plain,
( e10 = e14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f53,f634]) ).
fof(f636,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f635,f11]) ).
fof(f637,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f636]) ).
fof(f688,plain,
( j(e21) = e10
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f178,f169]) ).
fof(f841,plain,
( e10 = op1(j(e21),j(e21))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f688,f365]) ).
fof(f842,plain,
( e10 = op1(e10,j(e21))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f688,f841]) ).
fof(f843,plain,
( e10 = op1(e10,e10)
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f688,f842]) ).
fof(f844,plain,
( e10 = e14
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f53,f843]) ).
fof(f845,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f844,f11]) ).
fof(f846,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f845]) ).
fof(f930,plain,
( j(e22) = e10
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f181,f169]) ).
fof(f931,plain,
( spl0_35
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f930,f286,f180]) ).
fof(f1001,plain,
( j(e24) = e10
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f187,f169]) ).
fof(f1002,plain,
( spl0_45
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f1001,f318,f186]) ).
fof(f1109,plain,
( e23 = op2(h(e12),h(e13))
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f184,f347]) ).
fof(f1235,plain,
( h(e10) = e23
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1109,f347]) ).
fof(f1247,plain,
( h(e12) = op2(h(e14),e23)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1235,f354]) ).
fof(f1333,plain,
( j(e23) = e10
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f1235,f169]) ).
fof(f1335,plain,
( h(e14) = op2(h(e10),e23)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f1235,f334]) ).
fof(f1336,plain,
( h(e14) = op2(e23,e23)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1235,f1335]) ).
fof(f1337,plain,
( h(e14) = e23
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f96,f1336]) ).
fof(f1367,plain,
( h(e12) = op2(e23,e23)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1337,f1247]) ).
fof(f1368,plain,
( h(e12) = e23
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f96,f1367]) ).
fof(f1369,plain,
( e23 = op2(h(e12),h(e11))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1337,f345]) ).
fof(f1370,plain,
( e23 = op2(e23,h(e11))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1368,f1369]) ).
fof(f1385,plain,
( h(e13) = op2(e23,h(e11))
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1337,f355]) ).
fof(f1386,plain,
( h(e13) = e23
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1370,f1385]) ).
fof(f1397,plain,
( j(e23) = e13
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1386,f172]) ).
fof(f1398,plain,
( e10 = e13
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f1333,f1397]) ).
fof(f1399,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f1398,f10]) ).
fof(f1400,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f1399]) ).
fof(f1401,plain,
$false,
inference(sat_refutation,[status(thm)],[f189,f444,f497,f637,f846,f931,f1002,f1400]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG183+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n013.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 23:27:49 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.21/0.44 % Refutation found
% 0.21/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.47 % Elapsed time: 0.103839 seconds
% 0.21/0.47 % CPU time: 0.731062 seconds
% 0.21/0.47 % Total memory used: 16.773 MB
% 0.21/0.47 % Net memory used: 16.529 MB
%------------------------------------------------------------------------------