TSTP Solution File: ALG181+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG181+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:10:38 EDT 2024
% Result : Theorem 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 168 ( 52 unt; 0 def)
% Number of atoms : 668 ( 528 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 620 ( 120 ~; 221 |; 262 &)
% ( 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/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op1(e10,e10) = e13
& op1(e10,e11) = e12
& op1(e10,e12) = e10
& op1(e10,e13) = e11
& op1(e10,e14) = e14
& op1(e11,e10) = e10
& op1(e11,e11) = e14
& op1(e11,e12) = e11
& op1(e11,e13) = e12
& op1(e11,e14) = e13
& op1(e12,e10) = e11
& op1(e12,e11) = e13
& op1(e12,e12) = e12
& op1(e12,e13) = e14
& op1(e12,e14) = e10
& op1(e13,e10) = e14
& op1(e13,e11) = e11
& op1(e13,e12) = e13
& op1(e13,e13) = e10
& op1(e13,e14) = e12
& op1(e14,e10) = e12
& op1(e14,e11) = e10
& op1(e14,e12) = e14
& op1(e14,e13) = e13
& op1(e14,e14) = e11 ),
file('/export/starexec/sandbox/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/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(f14,plain,
e11 != e14,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f17,plain,
e13 != e14,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f53,plain,
op1(e10,e10) = e13,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f59,plain,
op1(e11,e11) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f62,plain,
op1(e11,e14) = e13,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f68,plain,
op1(e13,e10) = e14,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f71,plain,
op1(e13,e13) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f77,plain,
op1(e14,e14) = e11,
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(f91,plain,
op2(e22,e23) = e24,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e23,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f99,plain,
op2(e24,e21) = e22,
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(f123,plain,
h(op1(e11,e14)) = op2(h(e11),h(e14)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f129,plain,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
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(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(f157,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f160,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
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(f164,plain,
h(j(e20)) = e20,
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(f173,plain,
j(h(e14)) = e14,
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(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(f266,plain,
( spl0_29
<=> j(e20) = e14 ),
introduced(split_symbol_definition) ).
fof(f267,plain,
( j(e20) = e14
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(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(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(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(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(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(f327,plain,
( spl0_48
<=> j(e24) = e13 ),
introduced(split_symbol_definition) ).
fof(f328,plain,
( j(e24) = e13
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f334,plain,
h(e13) = op2(h(e10),h(e10)),
inference(forward_demodulation,[status(thm)],[f53,f114]) ).
fof(f343,plain,
h(e13) = op2(h(e11),h(e14)),
inference(forward_demodulation,[status(thm)],[f62,f123]) ).
fof(f349,plain,
h(e14) = op2(h(e13),h(e10)),
inference(forward_demodulation,[status(thm)],[f68,f129]) ).
fof(f358,plain,
h(e11) = op2(h(e14),h(e14)),
inference(forward_demodulation,[status(thm)],[f77,f138]) ).
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(f372,plain,
j(e24) = op1(j(e22),j(e23)),
inference(forward_demodulation,[status(thm)],[f91,f152]) ).
fof(f377,plain,
j(e23) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f96,f157]) ).
fof(f380,plain,
j(e22) = op1(j(e24),j(e21)),
inference(forward_demodulation,[status(thm)],[f99,f160]) ).
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 = e13
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f53,f441]) ).
fof(f443,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f442,f10]) ).
fof(f444,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f443]) ).
fof(f479,plain,
( e10 = op1(j(e23),j(e23))
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f303,f377]) ).
fof(f480,plain,
( e10 = op1(e10,j(e23))
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f303,f479]) ).
fof(f481,plain,
( e10 = op1(e10,e10)
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f303,f480]) ).
fof(f482,plain,
( e10 = e13
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f53,f481]) ).
fof(f483,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f482,f10]) ).
fof(f484,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f483]) ).
fof(f502,plain,
( e10 = op1(j(e22),j(e22))
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f287,f371]) ).
fof(f503,plain,
( e10 = op1(e10,j(e22))
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f287,f502]) ).
fof(f504,plain,
( e10 = op1(e10,e10)
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f287,f503]) ).
fof(f505,plain,
( e10 = e13
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f53,f504]) ).
fof(f506,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f505,f10]) ).
fof(f507,plain,
~ spl0_35,
inference(contradiction_clause,[status(thm)],[f506]) ).
fof(f513,plain,
( e10 = op1(j(e21),j(e21))
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f271,f365]) ).
fof(f514,plain,
( e10 = op1(e10,j(e21))
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f271,f513]) ).
fof(f515,plain,
( e10 = op1(e10,e10)
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f271,f514]) ).
fof(f516,plain,
( e10 = e13
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f53,f515]) ).
fof(f517,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f516,f10]) ).
fof(f518,plain,
~ spl0_30,
inference(contradiction_clause,[status(thm)],[f517]) ).
fof(f623,plain,
( e11 = op1(j(e22),j(e23))
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f322,f372]) ).
fof(f651,plain,
( h(e13) = op2(e20,h(e10))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f175,f334]) ).
fof(f652,plain,
( h(e13) = op2(e20,e20)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f175,f651]) ).
fof(f653,plain,
( h(e13) = e20
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f78,f652]) ).
fof(f657,plain,
( j(e20) = e13
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f653,f172]) ).
fof(f667,plain,
( h(e14) = op2(e20,h(e10))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f653,f349]) ).
fof(f668,plain,
( h(e14) = op2(e20,e20)
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f175,f667]) ).
fof(f669,plain,
( h(e14) = e20
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f78,f668]) ).
fof(f674,plain,
( j(e20) = e14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f669,f173]) ).
fof(f675,plain,
( e13 = e14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f657,f674]) ).
fof(f676,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f675,f17]) ).
fof(f677,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f676]) ).
fof(f762,plain,
( j(e21) = e10
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f178,f169]) ).
fof(f763,plain,
( spl0_30
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f762,f270,f177]) ).
fof(f795,plain,
( j(e24) = op1(j(e24),e11)
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f322,f383]) ).
fof(f846,plain,
( j(e22) = e10
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f181,f169]) ).
fof(f847,plain,
( spl0_35
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f846,f286,f180]) ).
fof(f861,plain,
( h(e14) = e20
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f267,f164]) ).
fof(f877,plain,
( j(e23) = op1(j(e23),e11)
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f306,f377]) ).
fof(f878,plain,
( e11 = op1(j(e23),e11)
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f306,f877]) ).
fof(f879,plain,
( e11 = op1(e11,e11)
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f306,f878]) ).
fof(f880,plain,
( e11 = e14
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f59,f879]) ).
fof(f881,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f880,f14]) ).
fof(f882,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f881]) ).
fof(f889,plain,
( e11 = op1(j(e24),j(e21))
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f290,f380]) ).
fof(f890,plain,
( e11 = j(e22)
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f380,f889]) ).
fof(f901,plain,
( j(e22) = op1(j(e22),e11)
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f290,f371]) ).
fof(f902,plain,
( e11 = op1(j(e22),e11)
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f890,f901]) ).
fof(f903,plain,
( e11 = op1(e11,e11)
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f890,f902]) ).
fof(f904,plain,
( e11 = e14
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f59,f903]) ).
fof(f905,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f904,f14]) ).
fof(f906,plain,
~ spl0_36,
inference(contradiction_clause,[status(thm)],[f905]) ).
fof(f909,plain,
( h(e11) = op2(e20,h(e14))
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f861,f358]) ).
fof(f910,plain,
( h(e11) = op2(e20,e20)
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f861,f909]) ).
fof(f911,plain,
( h(e11) = e20
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f78,f910]) ).
fof(f918,plain,
( h(e13) = op2(e20,h(e14))
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f911,f343]) ).
fof(f919,plain,
( h(e13) = op2(e20,e20)
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f861,f918]) ).
fof(f920,plain,
( h(e13) = e20
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f78,f919]) ).
fof(f921,plain,
( j(e20) = e13
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f920,f172]) ).
fof(f922,plain,
( e14 = e13
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f267,f921]) ).
fof(f923,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f922,f17]) ).
fof(f924,plain,
~ spl0_29,
inference(contradiction_clause,[status(thm)],[f923]) ).
fof(f926,plain,
( j(e22) = e14
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f245,f173]) ).
fof(f976,plain,
( e14 = op1(j(e22),j(e22))
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f926,f371]) ).
fof(f977,plain,
( e14 = op1(e14,j(e22))
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f926,f976]) ).
fof(f978,plain,
( e14 = op1(e14,e14)
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f926,f977]) ).
fof(f979,plain,
( e14 = e11
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f77,f978]) ).
fof(f980,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f979,f14]) ).
fof(f981,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f980]) ).
fof(f1007,plain,
( j(e24) = op1(j(e24),e13)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f328,f383]) ).
fof(f1008,plain,
( e13 = op1(j(e24),e13)
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f328,f1007]) ).
fof(f1009,plain,
( e13 = op1(e13,e13)
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f328,f1008]) ).
fof(f1010,plain,
( e13 = e10
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f71,f1009]) ).
fof(f1011,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f1010,f10]) ).
fof(f1012,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f1011]) ).
fof(f1014,plain,
( j(e23) = e10
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f184,f169]) ).
fof(f1015,plain,
( spl0_40
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f1014,f302,f183]) ).
fof(f1127,plain,
( e11 = j(e24)
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f372,f623]) ).
fof(f1130,plain,
( e11 = op1(j(e24),e11)
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f1127,f795]) ).
fof(f1131,plain,
( e11 = op1(e11,e11)
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f1127,f1130]) ).
fof(f1132,plain,
( e11 = e14
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f59,f1131]) ).
fof(f1133,plain,
( $false
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f1132,f14]) ).
fof(f1134,plain,
~ spl0_46,
inference(contradiction_clause,[status(thm)],[f1133]) ).
fof(f1157,plain,
( j(e24) = e10
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f187,f169]) ).
fof(f1158,plain,
( spl0_45
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f1157,f318,f186]) ).
fof(f1169,plain,
$false,
inference(sat_refutation,[status(thm)],[f189,f444,f484,f507,f518,f677,f763,f847,f882,f906,f924,f981,f1012,f1015,f1134,f1158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : ALG181+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 29 23:30:11 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.6.0
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.35 % Elapsed time: 0.028100 seconds
% 0.15/0.35 % CPU time: 0.110819 seconds
% 0.15/0.35 % Total memory used: 6.587 MB
% 0.15/0.35 % Net memory used: 6.518 MB
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