%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG086+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:03 AM UTC 2026
% Result : Theorem 0.13s 0.43s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 39
% Syntax : Number of formulae : 354 ( 97 unt; 34 def)
% Number of atoms : 1071 ( 704 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 1022 ( 305 ~; 410 |; 271 &)
% ( 34 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 36 ( 34 usr; 35 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,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op1(e14,e14) = e10
& op1(e14,e13) = e12
& op1(e14,e12) = e11
& op1(e14,e11) = e13
& op1(e14,e10) = e14
& op1(e13,e14) = e11
& op1(e13,e13) = e10
& op1(e13,e12) = e14
& op1(e13,e11) = e12
& op1(e13,e10) = e13
& op1(e12,e14) = e13
& op1(e12,e13) = e11
& op1(e12,e12) = e10
& op1(e12,e11) = e14
& op1(e12,e10) = e12
& op1(e11,e14) = e12
& op1(e11,e13) = e14
& op1(e11,e12) = e13
& op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e14) = e14
& op1(e10,e13) = e13
& op1(e10,e12) = e12
& op1(e10,e11) = e11
& op1(e10,e10) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op2(e24,e24) = e20
& op2(e24,e23) = e22
& op2(e24,e22) = e21
& op2(e24,e21) = e23
& op2(e24,e20) = e24
& op2(e23,e24) = e21
& op2(e23,e23) = e24
& op2(e23,e22) = e20
& op2(e23,e21) = e22
& op2(e23,e20) = e23
& op2(e22,e24) = e23
& op2(e22,e23) = e21
& op2(e22,e22) = e24
& op2(e22,e21) = e20
& op2(e22,e20) = e22
& op2(e21,e24) = e22
& op2(e21,e23) = e20
& op2(e21,e22) = e23
& op2(e21,e21) = e24
& op2(e21,e20) = e21
& op2(e20,e24) = e24
& op2(e20,e23) = e23
& op2(e20,e22) = e22
& op2(e20,e21) = e21
& op2(e20,e20) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,conjecture,
( ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ ( ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
e10 != e11,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
e10 != e13,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
e10 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f18,plain,
e20 != e21,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f20,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f21,plain,
e20 != e24,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f22,plain,
e21 != e22,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f23,plain,
e21 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f25,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f26,plain,
e22 != e24,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f54,plain,
op1(e10,e11) = e11,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f57,plain,
op1(e10,e14) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f59,plain,
op1(e11,e11) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f64,plain,
op1(e12,e11) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f67,plain,
op1(e12,e14) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f68,plain,
op1(e13,e10) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f70,plain,
op1(e13,e12) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f71,plain,
op1(e13,e13) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f73,plain,
op1(e14,e10) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f75,plain,
op1(e14,e12) = e11,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f76,plain,
op1(e14,e13) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f77,plain,
op1(e14,e14) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f78,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f82,plain,
op2(e20,e24) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f84,plain,
op2(e21,e21) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f85,plain,
op2(e21,e22) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f89,plain,
op2(e22,e21) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f90,plain,
op2(e22,e22) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f92,plain,
op2(e22,e24) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f93,plain,
op2(e23,e20) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f95,plain,
op2(e23,e22) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f99,plain,
op2(e24,e21) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f100,plain,
op2(e24,e22) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f101,plain,
op2(e24,e23) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f102,plain,
op2(e24,e24) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f103,plain,
( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f107,plain,
( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f108,plain,
( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f110,plain,
( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f111,plain,
( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f114,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f115,plain,
h(op1(e10,e11)) = op2(h(e10),h(e11)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f118,plain,
h(op1(e10,e14)) = op2(h(e10),h(e14)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f120,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f125,plain,
h(op1(e12,e11)) = op2(h(e12),h(e11)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f126,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f128,plain,
h(op1(e12,e14)) = op2(h(e12),h(e14)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f131,plain,
h(op1(e13,e12)) = op2(h(e13),h(e12)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f132,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f134,plain,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f137,plain,
h(op1(e14,e13)) = op2(h(e14),h(e13)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f138,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f139,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f145,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f146,plain,
j(op2(e21,e22)) = op1(j(e21),j(e22)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f150,plain,
j(op2(e22,e21)) = op1(j(e22),j(e21)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f154,plain,
j(op2(e23,e20)) = op1(j(e23),j(e20)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f156,plain,
j(op2(e23,e22)) = op1(j(e23),j(e22)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f157,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f160,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f163,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f164,plain,
h(j(e20)) = e20,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f165,plain,
h(j(e21)) = e21,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f166,plain,
h(j(e22)) = e22,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f168,plain,
h(j(e24)) = e24,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f169,plain,
j(h(e10)) = e10,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f170,plain,
j(h(e11)) = e11,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f171,plain,
j(h(e12)) = e12,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f172,plain,
j(h(e13)) = e13,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f173,plain,
j(h(e14)) = e14,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f174,definition,
( sQ0_spl
<=> h(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ0_spl
| h(e10) = e20 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f180,definition,
( sQ2_spl
<=> h(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ2_spl
| h(e10) = e22 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,definition,
( sQ3_spl
<=> h(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( ~ sQ3_spl
| h(e10) = e23 ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f190,definition,
( sQ5_spl
<=> h(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( ~ sQ5_spl
| h(e11) = e20 ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f196,definition,
( sQ7_spl
<=> h(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ7_spl
| h(e11) = e22 ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f209,definition,
( sQ11_spl
<=> h(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ11_spl
| h(e12) = e21 ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f211,plain,
( sQ11_spl
| h(e12) != e21 ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ12_spl
<=> h(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ12_spl
| h(e12) = e22 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f218,definition,
( sQ14_spl
<=> h(e12) = e24 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( ~ sQ14_spl
| h(e12) = e24 ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f222,definition,
( sQ15_spl
<=> h(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ15_spl
| h(e13) = e20 ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,definition,
( sQ16_spl
<=> h(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ16_spl
| h(e13) = e21 ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,definition,
( sQ17_spl
<=> h(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ17_spl
| h(e13) = e22 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,definition,
( sQ18_spl
<=> h(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ18_spl
| h(e13) = e23 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,definition,
( sQ19_spl
<=> h(e13) = e24 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f107,f222,f225,f228,f231,f234]) ).
fof(f238,definition,
( sQ20_spl
<=> h(e14) = e20 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ20_spl
| h(e14) = e20 ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
( sQ21_spl
<=> h(e14) = e21 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ21_spl
| h(e14) = e21 ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
( sQ22_spl
<=> h(e14) = e22 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ22_spl
| h(e14) = e22 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
( sQ23_spl
<=> h(e14) = e23 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( ~ sQ23_spl
| h(e14) = e23 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,definition,
( sQ24_spl
<=> h(e14) = e24 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ24_spl
| h(e14) = e24 ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f108,f238,f241,f244,f247,f250]) ).
fof(f254,definition,
( sQ25_spl
<=> j(e20) = e10 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ25_spl
| j(e20) = e10 ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,definition,
( sQ26_spl
<=> j(e20) = e11 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( ~ sQ26_spl
| j(e20) = e11 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f270,definition,
( sQ30_spl
<=> j(e21) = e10 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ30_spl
| j(e21) = e10 ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,definition,
( sQ31_spl
<=> j(e21) = e11 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ31_spl
| j(e21) = e11 ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
( sQ32_spl
<=> j(e21) = e12 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ32_spl
| j(e21) = e12 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,definition,
( sQ33_spl
<=> j(e21) = e13 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ33_spl
| j(e21) = e13 ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
( sQ34_spl
<=> j(e21) = e14 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ34_spl
| j(e21) = e14 ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f110,f270,f273,f276,f279,f282]) ).
fof(f286,definition,
( sQ35_spl
<=> j(e22) = e10 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ35_spl
| j(e22) = e10 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,definition,
( sQ36_spl
<=> j(e22) = e11 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( ~ sQ36_spl
| j(e22) = e11 ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,definition,
( sQ37_spl
<=> j(e22) = e12 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ37_spl
| j(e22) = e12 ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,definition,
( sQ38_spl
<=> j(e22) = e13 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f298,definition,
( sQ39_spl
<=> j(e22) = e14 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ39_spl
| j(e22) = e14 ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f111,f286,f289,f292,f295,f298]) ).
fof(f308,definition,
( sQ42_spl
<=> j(e23) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ42_spl
| j(e23) = e12 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( sQ42_spl
| j(e23) != e12 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,definition,
( sQ43_spl
<=> j(e23) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ43_spl
| j(e23) = e13 ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f318,definition,
( sQ45_spl
<=> j(e24) = e10 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ45_spl
| j(e24) = e10 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f320,plain,
( sQ45_spl
| j(e24) != e10 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f324,definition,
( sQ47_spl
<=> j(e24) = e12 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ47_spl
| j(e24) = e12 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f334,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[status(thm)],[f53,f114]) ).
fof(f335,plain,
h(e11) = op2(h(e10),h(e11)),
inference(forward_demodulation,[status(thm)],[f54,f115]) ).
fof(f338,plain,
h(e14) = op2(h(e10),h(e14)),
inference(forward_demodulation,[status(thm)],[f57,f118]) ).
fof(f340,plain,
h(e10) = op2(h(e11),h(e11)),
inference(forward_demodulation,[status(thm)],[f59,f120]) ).
fof(f345,plain,
h(e14) = op2(h(e12),h(e11)),
inference(forward_demodulation,[status(thm)],[f64,f125]) ).
fof(f346,plain,
h(e10) = op2(h(e12),h(e12)),
inference(forward_demodulation,[status(thm)],[f65,f126]) ).
fof(f348,plain,
h(e13) = op2(h(e12),h(e14)),
inference(forward_demodulation,[status(thm)],[f67,f128]) ).
fof(f351,plain,
h(e14) = op2(h(e13),h(e12)),
inference(forward_demodulation,[status(thm)],[f70,f131]) ).
fof(f352,plain,
h(e10) = op2(h(e13),h(e13)),
inference(forward_demodulation,[status(thm)],[f71,f132]) ).
fof(f354,plain,
h(e14) = op2(h(e14),h(e10)),
inference(forward_demodulation,[status(thm)],[f73,f134]) ).
fof(f357,plain,
h(e12) = op2(h(e14),h(e13)),
inference(forward_demodulation,[status(thm)],[f76,f137]) ).
fof(f358,plain,
h(e10) = op2(h(e14),h(e14)),
inference(forward_demodulation,[status(thm)],[f77,f138]) ).
fof(f359,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[status(thm)],[f78,f139]) ).
fof(f365,plain,
j(e24) = op1(j(e21),j(e21)),
inference(forward_demodulation,[status(thm)],[f84,f145]) ).
fof(f366,plain,
j(e23) = op1(j(e21),j(e22)),
inference(forward_demodulation,[status(thm)],[f85,f146]) ).
fof(f370,plain,
j(e20) = op1(j(e22),j(e21)),
inference(forward_demodulation,[status(thm)],[f89,f150]) ).
fof(f374,plain,
j(e23) = op1(j(e23),j(e20)),
inference(forward_demodulation,[status(thm)],[f93,f154]) ).
fof(f376,plain,
j(e20) = op1(j(e23),j(e22)),
inference(forward_demodulation,[status(thm)],[f95,f156]) ).
fof(f377,plain,
j(e24) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f96,f157]) ).
fof(f380,plain,
j(e23) = op1(j(e24),j(e21)),
inference(forward_demodulation,[status(thm)],[f99,f160]) ).
fof(f383,plain,
j(e20) = op1(j(e24),j(e24)),
inference(forward_demodulation,[status(thm)],[f102,f163]) ).
fof(f417,plain,
( ~ sQ39_spl
| h(e14) = e22 ),
inference(backward_demodulation,[status(thm)],[f299,f166]) ).
fof(f427,plain,
( ~ sQ34_spl
| h(e14) = e21 ),
inference(backward_demodulation,[status(thm)],[f283,f165]) ).
fof(f444,plain,
( ~ sQ24_spl
| j(e24) = e14 ),
inference(backward_demodulation,[status(thm)],[f251,f173]) ).
fof(f451,plain,
( ~ sQ24_spl
| e24 = op2(h(e13),h(e12)) ),
inference(backward_demodulation,[status(thm)],[f251,f351]) ).
fof(f452,plain,
( ~ sQ24_spl
| h(e13) = op2(h(e12),e24) ),
inference(backward_demodulation,[status(thm)],[f251,f348]) ).
fof(f477,plain,
( ~ sQ14_spl
| h(e10) = op2(h(e12),e24) ),
inference(backward_demodulation,[status(thm)],[f219,f346]) ).
fof(f483,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f213,f210]) ).
fof(f484,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f483,f22]) ).
fof(f485,plain,
( ~ sQ11_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f484]) ).
fof(f498,plain,
( ~ sQ45_spl
| h(e10) = e24 ),
inference(forward_demodulation,[status(thm)],[f319,f168]) ).
fof(f564,plain,
( ~ sQ35_spl
| h(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f287,f166]) ).
fof(f576,plain,
( ~ sQ30_spl
| h(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f271,f165]) ).
fof(f588,plain,
( ~ sQ25_spl
| h(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f255,f164]) ).
fof(f594,plain,
( ~ sQ20_spl
| j(e20) = e14 ),
inference(forward_demodulation,[status(thm)],[f239,f173]) ).
fof(f595,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| e10 = e14 ),
inference(forward_demodulation,[status(thm)],[f255,f594]) ).
fof(f596,plain,
( ~ sQ20_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f595,f11]) ).
fof(f597,plain,
( ~ sQ20_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f596]) ).
fof(f598,plain,
( ~ sQ20_spl
| h(e10) = op2(e20,h(e14)) ),
inference(forward_demodulation,[status(thm)],[f239,f358]) ).
fof(f599,plain,
( ~ sQ20_spl
| h(e10) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f239,f598]) ).
fof(f600,plain,
( ~ sQ20_spl
| h(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f599]) ).
fof(f636,plain,
( ~ sQ15_spl
| j(e20) = e13 ),
inference(forward_demodulation,[status(thm)],[f223,f172]) ).
fof(f672,plain,
( ~ sQ5_spl
| j(e20) = e11 ),
inference(forward_demodulation,[status(thm)],[f191,f170]) ).
fof(f690,plain,
( ~ sQ0_spl
| j(e20) = e10 ),
inference(forward_demodulation,[status(thm)],[f175,f169]) ).
fof(f717,plain,
( ~ sQ45_spl
| j(e20) = op1(e10,j(e24)) ),
inference(forward_demodulation,[status(thm)],[f319,f383]) ).
fof(f718,plain,
( ~ sQ45_spl
| j(e20) = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f319,f717]) ).
fof(f724,plain,
( ~ sQ45_spl
| h(e10) = e20 ),
inference(backward_demodulation,[status(thm)],[f728,f164]) ).
fof(f728,plain,
( ~ sQ45_spl
| j(e20) = e10 ),
inference(forward_demodulation,[status(thm)],[f53,f718]) ).
fof(f750,plain,
( ~ sQ16_spl
| h(e10) = op2(e21,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f226,f352]) ).
fof(f751,plain,
( ~ sQ16_spl
| h(e10) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f226,f750]) ).
fof(f753,plain,
( ~ sQ16_spl
| h(e10) = e24 ),
inference(forward_demodulation,[status(thm)],[f84,f751]) ).
fof(f764,plain,
( ~ sQ21_spl
| e21 = op2(h(e12),h(e11)) ),
inference(backward_demodulation,[status(thm)],[f242,f345]) ).
fof(f795,plain,
( ~ sQ5_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f672,f257,f190]) ).
fof(f818,plain,
( ~ sQ31_spl
| j(e24) = op1(e11,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f274,f365]) ).
fof(f819,plain,
( ~ sQ31_spl
| j(e24) = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f274,f818]) ).
fof(f826,plain,
( ~ sQ31_spl
| j(e24) = e10 ),
inference(forward_demodulation,[status(thm)],[f59,f819]) ).
fof(f835,plain,
( sQ45_spl
| ~ sQ31_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f826,f320]) ).
fof(f836,plain,
( sQ45_spl
| ~ sQ31_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f835]) ).
fof(f837,plain,
( sQ45_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f836]) ).
fof(f845,plain,
( ~ sQ11_spl
| j(e21) = e12 ),
inference(backward_demodulation,[status(thm)],[f210,f171]) ).
fof(f906,plain,
( ~ sQ26_spl
| e11 = op1(j(e22),j(e21)) ),
inference(backward_demodulation,[status(thm)],[f258,f370]) ).
fof(f912,plain,
( ~ sQ26_spl
| j(e20) = op1(j(e20),e11) ),
inference(backward_demodulation,[status(thm)],[f258,f359]) ).
fof(f916,plain,
( ~ sQ37_spl
| h(e12) = e22 ),
inference(backward_demodulation,[status(thm)],[f293,f166]) ).
fof(f936,plain,
( ~ sQ42_spl
| j(e24) = op1(e12,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f309,f377]) ).
fof(f937,plain,
( ~ sQ42_spl
| j(e24) = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f309,f936]) ).
fof(f942,plain,
( ~ sQ42_spl
| j(e24) = e10 ),
inference(forward_demodulation,[status(thm)],[f65,f937]) ).
fof(f951,plain,
( ~ sQ17_spl
| h(e12) = op2(h(e14),e22) ),
inference(forward_demodulation,[status(thm)],[f229,f357]) ).
fof(f969,plain,
( ~ sQ12_spl
| j(e22) = e12 ),
inference(backward_demodulation,[status(thm)],[f213,f171]) ).
fof(f970,plain,
( ~ sQ22_spl
| h(e10) = op2(h(e14),e22) ),
inference(backward_demodulation,[status(thm)],[f245,f358]) ).
fof(f975,plain,
( ~ sQ22_spl
| h(e14) = op2(e22,h(e10)) ),
inference(backward_demodulation,[status(thm)],[f245,f354]) ).
fof(f997,plain,
( ~ sQ45_spl
| h(e10) = op2(h(e10),e24) ),
inference(backward_demodulation,[status(thm)],[f498,f334]) ).
fof(f998,plain,
( ~ sQ45_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f724,f174,f318]) ).
fof(f1019,plain,
( ~ sQ35_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f564,f180,f286]) ).
fof(f1038,plain,
( ~ sQ18_spl
| j(e23) = e13 ),
inference(backward_demodulation,[status(thm)],[f232,f172]) ).
fof(f1048,plain,
( ~ sQ7_spl
| j(e22) = e11 ),
inference(backward_demodulation,[status(thm)],[f197,f170]) ).
fof(f1063,plain,
( ~ sQ22_spl
| h(e10) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f245,f970]) ).
fof(f1066,plain,
( ~ sQ22_spl
| h(e10) = e24 ),
inference(forward_demodulation,[status(thm)],[f90,f1063]) ).
fof(f1068,plain,
( ~ sQ22_spl
| e22 = op2(e22,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f245,f975]) ).
fof(f1069,plain,
( ~ sQ22_spl
| e22 = op2(e22,e24) ),
inference(forward_demodulation,[status(thm)],[f1066,f1068]) ).
fof(f1070,plain,
( ~ sQ22_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f92,f1069]) ).
fof(f1071,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1070,f25]) ).
fof(f1072,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f1071]) ).
fof(f1076,plain,
( ~ sQ43_spl
| j(e23) = op1(e13,j(e20)) ),
inference(backward_demodulation,[status(thm)],[f312,f374]) ).
fof(f1084,plain,
( ~ sQ43_spl
| j(e24) = op1(j(e23),e13) ),
inference(backward_demodulation,[status(thm)],[f312,f377]) ).
fof(f1101,plain,
( ~ sQ26_spl
| e11 = j(e20) ),
inference(forward_demodulation,[status(thm)],[f370,f906]) ).
fof(f1102,plain,
( ~ sQ26_spl
| e11 = op1(j(e20),e11) ),
inference(forward_demodulation,[status(thm)],[f1101,f912]) ).
fof(f1103,plain,
( ~ sQ26_spl
| e11 = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f1101,f1102]) ).
fof(f1104,plain,
( ~ sQ26_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f59,f1103]) ).
fof(f1105,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1104,f8]) ).
fof(f1106,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f1105]) ).
fof(f1117,plain,
( ~ sQ47_spl
| h(e12) = e24 ),
inference(backward_demodulation,[status(thm)],[f325,f168]) ).
fof(f1149,plain,
( ~ sQ12_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f969,f292,f212]) ).
fof(f1174,plain,
( ~ sQ15_spl
| h(e10) = op2(e20,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f223,f352]) ).
fof(f1175,plain,
( ~ sQ15_spl
| h(e10) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f223,f1174]) ).
fof(f1181,plain,
( ~ sQ15_spl
| h(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f1175]) ).
fof(f1187,plain,
( ~ sQ15_spl
| j(e20) = e10 ),
inference(forward_demodulation,[status(thm)],[f1181,f169]) ).
fof(f1188,plain,
( ~ sQ15_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f636,f1187]) ).
fof(f1189,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1188,f10]) ).
fof(f1190,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f1189]) ).
fof(f1197,plain,
( ~ sQ23_spl
| h(e10) = op2(h(e14),e23) ),
inference(backward_demodulation,[status(thm)],[f248,f358]) ).
fof(f1198,plain,
( ~ sQ23_spl
| h(e14) = op2(h(e10),e23) ),
inference(backward_demodulation,[status(thm)],[f248,f338]) ).
fof(f1225,plain,
( ~ sQ45_spl
| ~ sQ25_spl
| e20 = op2(h(e10),e24) ),
inference(forward_demodulation,[status(thm)],[f588,f997]) ).
fof(f1226,plain,
( ~ sQ45_spl
| ~ sQ25_spl
| e20 = op2(e20,e24) ),
inference(forward_demodulation,[status(thm)],[f588,f1225]) ).
fof(f1227,plain,
( ~ sQ45_spl
| ~ sQ25_spl
| e20 = e24 ),
inference(forward_demodulation,[status(thm)],[f82,f1226]) ).
fof(f1228,plain,
( ~ sQ45_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1227,f21]) ).
fof(f1229,plain,
( ~ sQ45_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1228]) ).
fof(f1230,plain,
( ~ sQ0_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f690,f254,f174]) ).
fof(f1234,plain,
( ~ sQ39_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f417,f244,f298]) ).
fof(f1271,plain,
( ~ sQ7_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1048,f289,f196]) ).
fof(f1287,plain,
( ~ sQ11_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f845,f276,f209]) ).
fof(f1304,plain,
( ~ sQ18_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f1038,f311,f231]) ).
fof(f1311,plain,
( ~ sQ23_spl
| h(e10) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f248,f1197]) ).
fof(f1313,plain,
( ~ sQ23_spl
| h(e10) = e24 ),
inference(forward_demodulation,[status(thm)],[f96,f1311]) ).
fof(f1314,plain,
( ~ sQ23_spl
| e23 = op2(h(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f248,f1198]) ).
fof(f1315,plain,
( ~ sQ23_spl
| e23 = op2(e24,e23) ),
inference(forward_demodulation,[status(thm)],[f1313,f1314]) ).
fof(f1316,plain,
( ~ sQ23_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f101,f1315]) ).
fof(f1317,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1316,f25]) ).
fof(f1318,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f1317]) ).
fof(f1336,plain,
( ~ sQ37_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f916,f212,f292]) ).
fof(f1345,plain,
( ~ sQ37_spl
| j(e23) = op1(j(e21),e12) ),
inference(backward_demodulation,[status(thm)],[f293,f366]) ).
fof(f1347,plain,
( ~ sQ37_spl
| j(e20) = op1(j(e23),e12) ),
inference(backward_demodulation,[status(thm)],[f293,f376]) ).
fof(f1403,plain,
( ~ sQ21_spl
| h(e14) = op2(h(e10),e21) ),
inference(backward_demodulation,[status(thm)],[f242,f338]) ).
fof(f1404,plain,
( ~ sQ21_spl
| h(e10) = op2(h(e14),e21) ),
inference(backward_demodulation,[status(thm)],[f242,f358]) ).
fof(f1438,plain,
( ~ sQ36_spl
| h(e11) = e22 ),
inference(backward_demodulation,[status(thm)],[f290,f166]) ).
fof(f1441,plain,
( ~ sQ34_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f427,f241,f282]) ).
fof(f1474,plain,
( ~ sQ42_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f942,f318,f308]) ).
fof(f1479,plain,
( ~ sQ47_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f1117,f218,f324]) ).
fof(f1525,plain,
( ~ sQ20_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f600,f174,f238]) ).
fof(f1530,plain,
( ~ sQ2_spl
| e22 = op2(h(e10),h(e10)) ),
inference(forward_demodulation,[status(thm)],[f181,f334]) ).
fof(f1531,plain,
( ~ sQ2_spl
| e22 = op2(e22,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f181,f1530]) ).
fof(f1532,plain,
( ~ sQ2_spl
| e22 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f181,f1531]) ).
fof(f1533,plain,
( ~ sQ2_spl
| e22 = e24 ),
inference(forward_demodulation,[status(thm)],[f90,f1532]) ).
fof(f1534,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1533,f26]) ).
fof(f1535,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f1534]) ).
fof(f1566,plain,
( ~ sQ21_spl
| e21 = h(e14) ),
inference(forward_demodulation,[status(thm)],[f345,f764]) ).
fof(f1567,plain,
( ~ sQ21_spl
| e21 = op2(h(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f1566,f1403]) ).
fof(f1568,plain,
( ~ sQ21_spl
| h(e10) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1566,f1404]) ).
fof(f1569,plain,
( ~ sQ21_spl
| e21 = op2(e24,e21) ),
inference(backward_demodulation,[status(thm)],[f1579,f1567]) ).
fof(f1579,plain,
( ~ sQ21_spl
| h(e10) = e24 ),
inference(forward_demodulation,[status(thm)],[f84,f1568]) ).
fof(f1715,plain,
( ~ sQ24_spl
| e24 = h(e14) ),
inference(forward_demodulation,[status(thm)],[f351,f451]) ).
fof(f1722,plain,
( ~ sQ24_spl
| j(e20) = op1(e14,j(e24)) ),
inference(forward_demodulation,[status(thm)],[f444,f383]) ).
fof(f1723,plain,
( ~ sQ24_spl
| j(e20) = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f444,f1722]) ).
fof(f1731,plain,
( ~ sQ24_spl
| j(e20) = e10 ),
inference(forward_demodulation,[status(thm)],[f77,f1723]) ).
fof(f1737,plain,
( ~ sQ24_spl
| e14 = op1(j(e21),j(e21)) ),
inference(forward_demodulation,[status(thm)],[f444,f365]) ).
fof(f1738,plain,
( ~ sQ24_spl
| ~ sQ32_spl
| e14 = op1(e12,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f277,f1737]) ).
fof(f1739,plain,
( ~ sQ24_spl
| ~ sQ32_spl
| e14 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f277,f1738]) ).
fof(f1740,plain,
( ~ sQ24_spl
| ~ sQ32_spl
| e14 = e10 ),
inference(forward_demodulation,[status(thm)],[f65,f1739]) ).
fof(f1741,plain,
( ~ sQ24_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1740,f11]) ).
fof(f1742,plain,
( ~ sQ24_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1741]) ).
fof(f1744,plain,
( ~ sQ24_spl
| j(e23) = op1(e14,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f444,f380]) ).
fof(f1760,plain,
( ~ sQ14_spl
| ~ sQ24_spl
| h(e10) = h(e13) ),
inference(forward_demodulation,[status(thm)],[f452,f477]) ).
fof(f1791,plain,
( ~ sQ14_spl
| ~ sQ24_spl
| j(h(e10)) = e13 ),
inference(forward_demodulation,[status(thm)],[f1760,f172]) ).
fof(f1792,plain,
( ~ sQ14_spl
| ~ sQ24_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f169,f1791]) ).
fof(f1793,plain,
( ~ sQ14_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1792,f10]) ).
fof(f1794,plain,
( ~ sQ14_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1793]) ).
fof(f1807,plain,
( ~ sQ24_spl
| h(e10) = op2(e24,h(e14)) ),
inference(forward_demodulation,[status(thm)],[f1715,f358]) ).
fof(f1808,plain,
( ~ sQ24_spl
| h(e10) = op2(e24,e24) ),
inference(forward_demodulation,[status(thm)],[f1715,f1807]) ).
fof(f1814,plain,
( ~ sQ24_spl
| h(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f102,f1808]) ).
fof(f1822,plain,
( ~ sQ3_spl
| ~ sQ24_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1814,f184]) ).
fof(f1823,plain,
( ~ sQ3_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1822,f20]) ).
fof(f1824,plain,
( ~ sQ3_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1823]) ).
fof(f1829,plain,
( ~ sQ16_spl
| ~ sQ24_spl
| e20 = e24 ),
inference(forward_demodulation,[status(thm)],[f1814,f753]) ).
fof(f1830,plain,
( ~ sQ16_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1829,f21]) ).
fof(f1831,plain,
( ~ sQ16_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1830]) ).
fof(f1861,plain,
( ~ sQ30_spl
| ~ sQ24_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1814,f576]) ).
fof(f1862,plain,
( ~ sQ30_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1861,f18]) ).
fof(f1863,plain,
( ~ sQ30_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1862]) ).
fof(f1888,plain,
( ~ sQ43_spl
| ~ sQ24_spl
| j(e23) = op1(e13,e10) ),
inference(forward_demodulation,[status(thm)],[f1731,f1076]) ).
fof(f1899,plain,
( ~ sQ43_spl
| ~ sQ24_spl
| j(e23) = e13 ),
inference(forward_demodulation,[status(thm)],[f68,f1888]) ).
fof(f1903,plain,
( ~ sQ43_spl
| ~ sQ24_spl
| e14 = op1(j(e23),e13) ),
inference(forward_demodulation,[status(thm)],[f444,f1084]) ).
fof(f1904,plain,
( ~ sQ43_spl
| ~ sQ24_spl
| e14 = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f1899,f1903]) ).
fof(f1905,plain,
( ~ sQ43_spl
| ~ sQ24_spl
| e14 = e10 ),
inference(forward_demodulation,[status(thm)],[f71,f1904]) ).
fof(f1906,plain,
( ~ sQ43_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1905,f11]) ).
fof(f1907,plain,
( ~ sQ43_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1906]) ).
fof(f1910,plain,
( ~ sQ24_spl
| ~ sQ33_spl
| j(e23) = op1(e14,e13) ),
inference(backward_demodulation,[status(thm)],[f280,f1744]) ).
fof(f1937,plain,
( ~ sQ17_spl
| ~ sQ24_spl
| h(e12) = op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f1715,f951]) ).
fof(f1938,plain,
( ~ sQ17_spl
| ~ sQ24_spl
| h(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f100,f1937]) ).
fof(f1939,plain,
( ~ sQ17_spl
| ~ sQ24_spl
| sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1938,f211]) ).
fof(f1940,plain,
( ~ sQ17_spl
| ~ sQ24_spl
| sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1939]) ).
fof(f1952,plain,
( ~ sQ37_spl
| ~ sQ33_spl
| j(e23) = op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f280,f1345]) ).
fof(f1954,plain,
( ~ sQ37_spl
| ~ sQ33_spl
| j(e23) = e14 ),
inference(forward_demodulation,[status(thm)],[f70,f1952]) ).
fof(f1957,plain,
( ~ sQ37_spl
| ~ sQ24_spl
| e10 = op1(j(e23),e12) ),
inference(forward_demodulation,[status(thm)],[f1731,f1347]) ).
fof(f1958,plain,
( ~ sQ37_spl
| ~ sQ24_spl
| ~ sQ33_spl
| e10 = op1(e14,e12) ),
inference(forward_demodulation,[status(thm)],[f1954,f1957]) ).
fof(f1959,plain,
( ~ sQ37_spl
| ~ sQ24_spl
| ~ sQ33_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f75,f1958]) ).
fof(f1960,plain,
( ~ sQ37_spl
| ~ sQ24_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1959,f8]) ).
fof(f1961,plain,
( ~ sQ37_spl
| ~ sQ24_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1960]) ).
fof(f1962,plain,
( ~ sQ24_spl
| ~ sQ33_spl
| j(e23) = e12 ),
inference(forward_demodulation,[status(thm)],[f76,f1910]) ).
fof(f1963,plain,
( ~ sQ24_spl
| ~ sQ33_spl
| sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1962,f310]) ).
fof(f1964,plain,
( ~ sQ24_spl
| ~ sQ33_spl
| sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1963]) ).
fof(f2019,plain,
( ~ sQ36_spl
| h(e10) = op2(e22,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f1438,f340]) ).
fof(f2020,plain,
( ~ sQ36_spl
| h(e10) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1438,f2019]) ).
fof(f2023,plain,
( ~ sQ36_spl
| h(e10) = e24 ),
inference(forward_demodulation,[status(thm)],[f90,f2020]) ).
fof(f2026,plain,
( ~ sQ36_spl
| e22 = op2(h(e10),h(e11)) ),
inference(forward_demodulation,[status(thm)],[f1438,f335]) ).
fof(f2027,plain,
( ~ sQ36_spl
| e22 = op2(e24,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f2023,f2026]) ).
fof(f2028,plain,
( ~ sQ36_spl
| e22 = op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f1438,f2027]) ).
fof(f2029,plain,
( ~ sQ36_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f100,f2028]) ).
fof(f2030,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2029,f22]) ).
fof(f2031,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f2030]) ).
fof(f2061,plain,
( ~ sQ21_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f99,f1569]) ).
fof(f2062,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2061,f23]) ).
fof(f2063,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f2062]) ).
fof(f2064,plain,
$false,
inference(sat_refutation,[status(thm)],[f237,f253,f285,f301,f485,f597,f795,f837,f998,f1019,f1072,f1106,f1149,f1190,f1229,f1230,f1234,f1271,f1287,f1304,f1318,f1336,f1441,f1474,f1479,f1525,f1535,f1742,f1794,f1824,f1831,f1863,f1907,f1940,f1961,f1964,f2031,f2063]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG086+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 12:55:32 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.46 % Elapsed time: 0.088395 seconds
% 0.13/0.46 % CPU time: 0.385944 seconds
% 0.13/0.46 % Total memory used: 116.508 MB
% 0.13/0.46 % Net memory used: 116.273 MB
%------------------------------------------------------------------------------