TSTP Solution File: ALG089+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG089+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:09:28 EDT 2024
% Result : Theorem 0.19s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 112 ( 32 unt; 0 def)
% Number of atoms : 581 ( 482 equ)
% Maximal formula atoms : 110 ( 5 avg)
% Number of connectives : 551 ( 82 ~; 195 |; 262 &)
% ( 10 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 5 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(f2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e10,e14) = e14
& op1(e11,e10) = e11
& op1(e11,e11) = e10
& op1(e11,e12) = e13
& op1(e11,e13) = e14
& op1(e11,e14) = e12
& op1(e12,e10) = e12
& op1(e12,e11) = e14
& op1(e12,e12) = e10
& op1(e12,e13) = e11
& op1(e12,e14) = e13
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e14
& op1(e13,e13) = e10
& op1(e13,e14) = e11
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e12
& op1(e14,e14) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e20,e24) = e24
& op2(e21,e20) = e21
& op2(e21,e21) = e22
& op2(e21,e22) = e24
& op2(e21,e23) = e20
& op2(e21,e24) = e23
& op2(e22,e20) = e22
& op2(e22,e21) = e20
& op2(e22,e22) = e23
& op2(e22,e23) = e24
& op2(e22,e24) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e24
& op2(e23,e22) = e20
& op2(e23,e23) = e21
& op2(e23,e24) = e22
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e21
& op2(e24,e23) = e22
& op2(e24,e24) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f25,plain,
e22 != e23,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f27,plain,
e23 != e24,
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) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f63,plain,
op1(e12,e10) = e12,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f68,plain,
op1(e13,e10) = e13,
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) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
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(f94,plain,
op2(e23,e21) = e24,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e21,
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(f112,plain,
( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f114,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f124,plain,
h(op1(e12,e10)) = op2(h(e12),h(e10)),
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(f129,plain,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
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(f157,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f165,plain,
h(j(e21)) = e21,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f167,plain,
h(j(e23)) = e23,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f173,plain,
j(h(e14)) = e14,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f177,plain,
( spl0_1
<=> h(e10) = e21 ),
introduced(split_symbol_definition) ).
fof(f178,plain,
( h(e10) = e21
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(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(f182,plain,
( h(e10) != e22
| spl0_2 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f231,plain,
( spl0_18
<=> h(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f232,plain,
( h(e13) = e23
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f247,plain,
( spl0_23
<=> h(e14) = e23 ),
introduced(split_symbol_definition) ).
fof(f248,plain,
( h(e14) = e23
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f270,plain,
( spl0_30
<=> j(e21) = e10 ),
introduced(split_symbol_definition) ).
fof(f271,plain,
( j(e21) = e10
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f272,plain,
( j(e21) != e10
| spl0_30 ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f302,plain,
( spl0_40
<=> j(e23) = e10 ),
introduced(split_symbol_definition) ).
fof(f303,plain,
( j(e23) = e10
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( spl0_41
<=> j(e23) = e11 ),
introduced(split_symbol_definition) ).
fof(f306,plain,
( j(e23) = e11
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,plain,
( spl0_42
<=> j(e23) = e12 ),
introduced(split_symbol_definition) ).
fof(f309,plain,
( j(e23) = e12
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( spl0_43
<=> j(e23) = e13 ),
introduced(split_symbol_definition) ).
fof(f312,plain,
( j(e23) = e13
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,plain,
( spl0_44
<=> j(e23) = e14 ),
introduced(split_symbol_definition) ).
fof(f315,plain,
( j(e23) = e14
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43
| spl0_44 ),
inference(split_clause,[status(thm)],[f112,f302,f305,f308,f311,f314]) ).
fof(f334,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[status(thm)],[f53,f114]) ).
fof(f344,plain,
h(e12) = op2(h(e12),h(e10)),
inference(forward_demodulation,[status(thm)],[f63,f124]) ).
fof(f346,plain,
h(e10) = op2(h(e12),h(e12)),
inference(forward_demodulation,[status(thm)],[f65,f126]) ).
fof(f349,plain,
h(e13) = op2(h(e13),h(e10)),
inference(forward_demodulation,[status(thm)],[f68,f129]) ).
fof(f352,plain,
h(e10) = op2(h(e13),h(e13)),
inference(forward_demodulation,[status(thm)],[f71,f132]) ).
fof(f377,plain,
j(e21) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f96,f157]) ).
fof(f516,plain,
( h(e10) = e21
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f271,f165]) ).
fof(f692,plain,
( j(e21) = op1(e11,j(e23))
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f306,f377]) ).
fof(f693,plain,
( j(e21) = op1(e11,e11)
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f306,f692]) ).
fof(f694,plain,
( j(e21) = e10
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f59,f693]) ).
fof(f697,plain,
( e10 != e10
| ~ spl0_41
| spl0_30 ),
inference(forward_demodulation,[status(thm)],[f694,f272]) ).
fof(f698,plain,
( $false
| ~ spl0_41
| spl0_30 ),
inference(trivial_equality_resolution,[status(esa)],[f697]) ).
fof(f699,plain,
( ~ spl0_41
| spl0_30 ),
inference(contradiction_clause,[status(thm)],[f698]) ).
fof(f727,plain,
( e22 = op2(h(e10),h(e10))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f181,f334]) ).
fof(f728,plain,
( e22 = op2(e22,h(e10))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f181,f727]) ).
fof(f729,plain,
( e22 = op2(e22,e22)
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f181,f728]) ).
fof(f730,plain,
( e22 = e23
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f90,f729]) ).
fof(f731,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f730,f25]) ).
fof(f732,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f731]) ).
fof(f762,plain,
( j(e21) = op1(e10,j(e23))
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f303,f377]) ).
fof(f763,plain,
( j(e21) = op1(e10,e10)
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f303,f762]) ).
fof(f764,plain,
( j(e21) = e10
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f53,f763]) ).
fof(f819,plain,
( h(e10) = op2(e23,h(e13))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f232,f352]) ).
fof(f820,plain,
( h(e10) = op2(e23,e23)
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f232,f819]) ).
fof(f821,plain,
( h(e10) = e21
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f96,f820]) ).
fof(f822,plain,
( e23 = op2(h(e13),h(e10))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f232,f349]) ).
fof(f823,plain,
( e23 = op2(e23,h(e10))
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f232,f822]) ).
fof(f824,plain,
( e23 = op2(e23,e21)
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f821,f823]) ).
fof(f825,plain,
( e23 = e24
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f94,f824]) ).
fof(f826,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f825,f27]) ).
fof(f827,plain,
~ spl0_18,
inference(contradiction_clause,[status(thm)],[f826]) ).
fof(f861,plain,
( h(e13) = e23
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f312,f167]) ).
fof(f862,plain,
( spl0_18
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f861,f231,f311]) ).
fof(f997,plain,
( j(e23) = e14
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f248,f173]) ).
fof(f1000,plain,
( spl0_1
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f516,f177,f270]) ).
fof(f1057,plain,
( h(e12) = e23
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f309,f167]) ).
fof(f1132,plain,
( h(e10) = op2(h(e10),e21)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f178,f334]) ).
fof(f1139,plain,
( h(e10) = op2(e23,h(e12))
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f1057,f346]) ).
fof(f1140,plain,
( h(e10) = op2(e23,e23)
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f1057,f1139]) ).
fof(f1141,plain,
( h(e10) = e21
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f96,f1140]) ).
fof(f1142,plain,
( e23 = op2(h(e12),h(e10))
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f1057,f344]) ).
fof(f1143,plain,
( e23 = op2(e23,h(e10))
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f1057,f1142]) ).
fof(f1144,plain,
( e23 = op2(e23,e21)
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f1141,f1143]) ).
fof(f1145,plain,
( e23 = e24
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f94,f1144]) ).
fof(f1146,plain,
( $false
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f1145,f27]) ).
fof(f1147,plain,
~ spl0_42,
inference(contradiction_clause,[status(thm)],[f1146]) ).
fof(f1163,plain,
( h(e10) = op2(e21,e21)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f178,f1132]) ).
fof(f1164,plain,
( h(e10) = e22
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f84,f1163]) ).
fof(f1165,plain,
( $false
| spl0_2
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1164,f182]) ).
fof(f1166,plain,
( spl0_2
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f1165]) ).
fof(f1205,plain,
( spl0_30
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f764,f270,f302]) ).
fof(f1271,plain,
( j(e21) = op1(e14,j(e23))
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f997,f377]) ).
fof(f1272,plain,
( j(e21) = op1(e14,e14)
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f997,f1271]) ).
fof(f1273,plain,
( j(e21) = e10
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f77,f1272]) ).
fof(f1284,plain,
( e10 != e10
| ~ spl0_23
| spl0_30 ),
inference(forward_demodulation,[status(thm)],[f1273,f272]) ).
fof(f1285,plain,
( $false
| ~ spl0_23
| spl0_30 ),
inference(trivial_equality_resolution,[status(esa)],[f1284]) ).
fof(f1286,plain,
( ~ spl0_23
| spl0_30 ),
inference(contradiction_clause,[status(thm)],[f1285]) ).
fof(f1287,plain,
( h(e14) = e23
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f315,f167]) ).
fof(f1288,plain,
( spl0_23
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1287,f247,f314]) ).
fof(f1310,plain,
$false,
inference(sat_refutation,[status(thm)],[f317,f699,f732,f827,f862,f1000,f1147,f1166,f1205,f1286,f1288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG089+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 29 23:26:35 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 0.19/0.39 % Refutation found
% 0.19/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.41 % Elapsed time: 0.065454 seconds
% 0.19/0.41 % CPU time: 0.437590 seconds
% 0.19/0.41 % Total memory used: 14.707 MB
% 0.19/0.41 % Net memory used: 14.505 MB
%------------------------------------------------------------------------------