%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG183+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 : n009.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 11:48:47 AM UTC 2026
% Result : Theorem 0.09s 0.44s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 26
% Syntax : Number of formulae : 199 ( 51 unt; 21 def)
% Number of atoms : 765 ( 561 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 742 ( 176 ~; 272 |; 271 &)
% ( 21 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 22 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) = e14
& op1(e14,e12) = e11
& op1(e14,e11) = e13
& op1(e14,e10) = e12
& op1(e13,e14) = e11
& op1(e13,e13) = e12
& op1(e13,e12) = e14
& op1(e13,e11) = e10
& op1(e13,e10) = e13
& op1(e12,e14) = e12
& op1(e12,e13) = e10
& op1(e12,e12) = e13
& op1(e12,e11) = e14
& op1(e12,e10) = e11
& op1(e11,e14) = e14
& op1(e11,e13) = e13
& op1(e11,e12) = e12
& op1(e11,e11) = e11
& op1(e11,e10) = e10
& op1(e10,e14) = e13
& op1(e10,e13) = e11
& op1(e10,e12) = e10
& op1(e10,e11) = e12
& op1(e10,e10) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op2(e24,e24) = e24
& op2(e24,e23) = e20
& op2(e24,e22) = e21
& op2(e24,e21) = e22
& op2(e24,e20) = e23
& op2(e23,e24) = e21
& op2(e23,e23) = e23
& op2(e23,e22) = e20
& op2(e23,e21) = e24
& op2(e23,e20) = e22
& op2(e22,e24) = e23
& op2(e22,e23) = e24
& op2(e22,e22) = e22
& op2(e22,e21) = e20
& op2(e22,e20) = e21
& op2(e21,e24) = e20
& op2(e21,e23) = e22
& op2(e21,e22) = e23
& op2(e21,e21) = e21
& op2(e21,e20) = e24
& op2(e20,e24) = e22
& op2(e20,e23) = e21
& op2(e20,e22) = e24
& op2(e20,e21) = e23
& 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(f11,plain,
e10 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f15,plain,
e12 != e13,
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(f23,plain,
e21 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f25,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
op1(e10,e10) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f60,plain,
op1(e11,e12) = e12,
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) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f67,plain,
op1(e12,e14) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f71,plain,
op1(e13,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(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) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f93,plain,
op2(e23,e20) = e22,
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) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f102,plain,
op2(e24,e24) = e24,
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(f106,plain,
( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 ),
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(f121,plain,
h(op1(e11,e12)) = op2(h(e11),h(e12)),
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(f128,plain,
h(op1(e12,e14)) = op2(h(e12),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(f151,plain,
j(op2(e22,e22)) = op1(j(e22),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(f163,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f166,plain,
h(j(e22)) = e22,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f169,plain,
j(h(e10)) = e10,
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(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(f186,definition,
( sQ4_spl
<=> h(e10) = e24 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ4_spl
| h(e10) = e24 ),
inference(component_clause,[status(thm)],[f186]) ).
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(f206,definition,
( sQ10_spl
<=> h(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ10_spl
| h(e12) = e20 ),
inference(component_clause,[status(thm)],[f206]) ).
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(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(f215,definition,
( sQ13_spl
<=> h(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ13_spl
| h(e12) = e23 ),
inference(component_clause,[status(thm)],[f215]) ).
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(f221,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f106,f206,f209,f212,f215,f218]) ).
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(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(f240,plain,
( sQ20_spl
| h(e14) != e20 ),
inference(component_clause,[status(thm)],[f238]) ).
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(f246,plain,
( sQ22_spl
| h(e14) != e22 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f260,definition,
( sQ27_spl
<=> j(e20) = e12 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ27_spl
| j(e20) = e12 ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,definition,
( sQ28_spl
<=> j(e20) = e13 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ28_spl
| j(e20) = e13 ),
inference(component_clause,[status(thm)],[f263]) ).
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(f296,plain,
( ~ sQ38_spl
| j(e22) = e13 ),
inference(component_clause,[status(thm)],[f295]) ).
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(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(f327,definition,
( sQ48_spl
<=> j(e24) = e13 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ48_spl
| j(e24) = e13 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f347,plain,
h(e14) = op2(h(e10),h(e10)),
inference(backward_demodulation,[status(thm)],[f53,f114]) ).
fof(f447,plain,
( ~ sQ35_spl
| h(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f287,f166]) ).
fof(f451,plain,
( ~ sQ35_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f447,f180,f286]) ).
fof(f477,plain,
h(e12) = op2(h(e11),h(e12)),
inference(forward_demodulation,[status(thm)],[f60,f121]) ).
fof(f518,plain,
h(e14) = op2(h(e12),h(e11)),
inference(forward_demodulation,[status(thm)],[f64,f125]) ).
fof(f547,plain,
h(e12) = op2(h(e12),h(e14)),
inference(forward_demodulation,[status(thm)],[f67,f128]) ).
fof(f548,plain,
( ~ sQ11_spl
| e21 = op2(h(e12),h(e14)) ),
inference(forward_demodulation,[status(thm)],[f210,f547]) ).
fof(f549,plain,
( ~ sQ11_spl
| e21 = op2(e21,h(e14)) ),
inference(forward_demodulation,[status(thm)],[f210,f548]) ).
fof(f554,plain,
( ~ sQ20_spl
| h(e12) = op2(h(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f239,f547]) ).
fof(f632,plain,
( ~ sQ11_spl
| e21 = op2(h(e11),h(e12)) ),
inference(forward_demodulation,[status(thm)],[f210,f477]) ).
fof(f633,plain,
( ~ sQ11_spl
| e21 = op2(h(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f210,f632]) ).
fof(f650,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[status(thm)],[f78,f139]) ).
fof(f651,plain,
( ~ sQ27_spl
| e12 = op1(j(e20),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f261,f650]) ).
fof(f652,plain,
( ~ sQ27_spl
| e12 = op1(e12,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f261,f651]) ).
fof(f653,plain,
( ~ sQ27_spl
| e12 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f261,f652]) ).
fof(f654,plain,
( ~ sQ27_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f65,f653]) ).
fof(f655,plain,
( ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f654,f15]) ).
fof(f656,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f655]) ).
fof(f755,plain,
j(e22) = op1(j(e22),j(e22)),
inference(forward_demodulation,[status(thm)],[f90,f151]) ).
fof(f789,plain,
( ~ sQ37_spl
| j(e22) = op1(j(e22),e12) ),
inference(backward_demodulation,[status(thm)],[f293,f755]) ).
fof(f792,plain,
( ~ sQ37_spl
| e12 = op1(j(e22),e12) ),
inference(forward_demodulation,[status(thm)],[f293,f789]) ).
fof(f793,plain,
( ~ sQ37_spl
| e12 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f293,f792]) ).
fof(f794,plain,
( ~ sQ37_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f65,f793]) ).
fof(f795,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f794,f15]) ).
fof(f796,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f795]) ).
fof(f807,plain,
j(e23) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f96,f157]) ).
fof(f860,plain,
j(e24) = op1(j(e24),j(e24)),
inference(forward_demodulation,[status(thm)],[f102,f163]) ).
fof(f867,plain,
( ~ sQ4_spl
| j(e24) = op1(j(e24),e10) ),
inference(backward_demodulation,[status(thm)],[f868,f860]) ).
fof(f868,plain,
( ~ sQ4_spl
| j(e24) = e10 ),
inference(forward_demodulation,[status(thm)],[f187,f169]) ).
fof(f869,plain,
( ~ sQ4_spl
| e10 = op1(j(e24),e10) ),
inference(forward_demodulation,[status(thm)],[f868,f867]) ).
fof(f870,plain,
( ~ sQ4_spl
| e10 = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f868,f869]) ).
fof(f871,plain,
( ~ sQ4_spl
| e10 = e14 ),
inference(forward_demodulation,[status(thm)],[f53,f870]) ).
fof(f872,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f871,f11]) ).
fof(f873,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f872]) ).
fof(f879,plain,
( ~ sQ11_spl
| ~ sQ22_spl
| e21 = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f245,f549]) ).
fof(f880,plain,
( ~ sQ11_spl
| ~ sQ22_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f85,f879]) ).
fof(f881,plain,
( ~ sQ11_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f880,f23]) ).
fof(f882,plain,
( ~ sQ11_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f881]) ).
fof(f896,plain,
( ~ sQ17_spl
| j(e22) = e13 ),
inference(forward_demodulation,[status(thm)],[f229,f172]) ).
fof(f903,plain,
( ~ sQ2_spl
| h(e14) = op2(e22,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f181,f347]) ).
fof(f904,plain,
( ~ sQ2_spl
| h(e14) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f181,f903]) ).
fof(f905,plain,
( ~ sQ2_spl
| h(e14) = e22 ),
inference(forward_demodulation,[status(thm)],[f90,f904]) ).
fof(f906,plain,
( ~ sQ2_spl
| sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f905,f246]) ).
fof(f907,plain,
( ~ sQ2_spl
| sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f906]) ).
fof(f932,plain,
( ~ sQ10_spl
| j(e20) = e12 ),
inference(backward_demodulation,[status(thm)],[f207,f171]) ).
fof(f934,plain,
( ~ sQ10_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f932,f260,f206]) ).
fof(f1031,plain,
( ~ sQ36_spl
| h(e11) = e22 ),
inference(backward_demodulation,[status(thm)],[f290,f166]) ).
fof(f1151,plain,
( ~ sQ36_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1031,f196,f289]) ).
fof(f1173,plain,
( ~ sQ42_spl
| e12 = op1(j(e23),j(e23)) ),
inference(forward_demodulation,[status(thm)],[f309,f807]) ).
fof(f1174,plain,
( ~ sQ42_spl
| e12 = op1(e12,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f309,f1173]) ).
fof(f1175,plain,
( ~ sQ42_spl
| e12 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f309,f1174]) ).
fof(f1176,plain,
( ~ sQ42_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f65,f1175]) ).
fof(f1177,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1176,f15]) ).
fof(f1178,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f1177]) ).
fof(f1216,plain,
( ~ sQ20_spl
| ~ sQ13_spl
| e23 = op2(h(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f216,f554]) ).
fof(f1217,plain,
( ~ sQ20_spl
| ~ sQ13_spl
| e23 = op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f216,f1216]) ).
fof(f1218,plain,
( ~ sQ20_spl
| ~ sQ13_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f93,f1217]) ).
fof(f1219,plain,
( ~ sQ20_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1218,f25]) ).
fof(f1220,plain,
( ~ sQ20_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1219]) ).
fof(f1228,plain,
( ~ sQ17_spl
| j(e22) = op1(j(e22),e13) ),
inference(backward_demodulation,[status(thm)],[f896,f755]) ).
fof(f1232,plain,
( ~ sQ17_spl
| e13 = op1(j(e22),e13) ),
inference(forward_demodulation,[status(thm)],[f896,f1228]) ).
fof(f1233,plain,
( ~ sQ17_spl
| e13 = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f896,f1232]) ).
fof(f1234,plain,
( ~ sQ17_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f71,f1233]) ).
fof(f1235,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1234,f15]) ).
fof(f1236,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f1235]) ).
fof(f1238,plain,
( ~ sQ47_spl
| e12 = op1(j(e24),j(e24)) ),
inference(forward_demodulation,[status(thm)],[f325,f860]) ).
fof(f1239,plain,
( ~ sQ47_spl
| e12 = op1(e12,j(e24)) ),
inference(forward_demodulation,[status(thm)],[f325,f1238]) ).
fof(f1240,plain,
( ~ sQ47_spl
| e12 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f325,f1239]) ).
fof(f1241,plain,
( ~ sQ47_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f65,f1240]) ).
fof(f1242,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1241,f15]) ).
fof(f1243,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f1242]) ).
fof(f1290,plain,
( ~ sQ12_spl
| j(e22) = e12 ),
inference(forward_demodulation,[status(thm)],[f213,f171]) ).
fof(f1309,plain,
( ~ sQ12_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f1290,f292,f212]) ).
fof(f1437,plain,
( ~ sQ22_spl
| h(e12) = op2(h(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f245,f547]) ).
fof(f1457,plain,
( ~ sQ38_spl
| h(e13) = e22 ),
inference(backward_demodulation,[status(thm)],[f296,f166]) ).
fof(f1458,plain,
( ~ sQ38_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1457,f228,f295]) ).
fof(f1515,plain,
( ~ sQ22_spl
| ~ sQ13_spl
| e23 = op2(h(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f216,f1437]) ).
fof(f1516,plain,
( ~ sQ22_spl
| ~ sQ13_spl
| e23 = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f216,f1515]) ).
fof(f1517,plain,
( ~ sQ22_spl
| ~ sQ13_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f95,f1516]) ).
fof(f1518,plain,
( ~ sQ22_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1517,f20]) ).
fof(f1519,plain,
( ~ sQ22_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1518]) ).
fof(f1520,plain,
( ~ sQ28_spl
| e13 = op1(j(e20),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f264,f650]) ).
fof(f1521,plain,
( ~ sQ28_spl
| e13 = op1(e13,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f264,f1520]) ).
fof(f1522,plain,
( ~ sQ28_spl
| e13 = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f264,f1521]) ).
fof(f1523,plain,
( ~ sQ28_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f71,f1522]) ).
fof(f1524,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1523,f15]) ).
fof(f1525,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f1524]) ).
fof(f1576,plain,
( ~ sQ13_spl
| h(e14) = op2(e23,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f216,f518]) ).
fof(f1577,plain,
( ~ sQ13_spl
| ~ sQ7_spl
| h(e14) = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f197,f1576]) ).
fof(f1578,plain,
( ~ sQ13_spl
| ~ sQ7_spl
| h(e14) = e20 ),
inference(forward_demodulation,[status(thm)],[f95,f1577]) ).
fof(f1579,plain,
( ~ sQ13_spl
| ~ sQ7_spl
| sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1578,f240]) ).
fof(f1580,plain,
( ~ sQ13_spl
| ~ sQ7_spl
| sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1579]) ).
fof(f1626,plain,
( ~ sQ48_spl
| j(e24) = op1(j(e24),e13) ),
inference(backward_demodulation,[status(thm)],[f328,f860]) ).
fof(f1630,plain,
( ~ sQ48_spl
| e13 = op1(j(e24),e13) ),
inference(forward_demodulation,[status(thm)],[f328,f1626]) ).
fof(f1631,plain,
( ~ sQ48_spl
| e13 = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f328,f1630]) ).
fof(f1632,plain,
( ~ sQ48_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f71,f1631]) ).
fof(f1633,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1632,f15]) ).
fof(f1634,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f1633]) ).
fof(f1644,plain,
( ~ sQ39_spl
| j(e22) = op1(j(e22),e14) ),
inference(backward_demodulation,[status(thm)],[f299,f755]) ).
fof(f1649,plain,
( ~ sQ39_spl
| e14 = op1(j(e22),e14) ),
inference(forward_demodulation,[status(thm)],[f299,f1644]) ).
fof(f1650,plain,
( ~ sQ39_spl
| e14 = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f299,f1649]) ).
fof(f1651,plain,
( ~ sQ39_spl
| e14 = e10 ),
inference(forward_demodulation,[status(thm)],[f77,f1650]) ).
fof(f1652,plain,
( ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1651,f11]) ).
fof(f1653,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f1652]) ).
fof(f1718,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| e21 = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f197,f633]) ).
fof(f1719,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f89,f1718]) ).
fof(f1720,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1719,f18]) ).
fof(f1721,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1720]) ).
fof(f1762,plain,
( ~ sQ14_spl
| j(e24) = e12 ),
inference(backward_demodulation,[status(thm)],[f219,f171]) ).
fof(f1766,plain,
( ~ sQ14_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f1762,f324,f218]) ).
fof(f1767,plain,
$false,
inference(sat_refutation,[status(thm)],[f221,f301,f451,f656,f796,f873,f882,f907,f934,f1151,f1178,f1220,f1236,f1243,f1309,f1458,f1519,f1525,f1580,f1634,f1653,f1721,f1766]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG183+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 13:00:42 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.09/0.44 % Refutation found
% 0.09/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.47 % Elapsed time: 0.089922 seconds
% 0.09/0.47 % CPU time: 0.345442 seconds
% 0.09/0.47 % Total memory used: 115.036 MB
% 0.09/0.47 % Net memory used: 114.810 MB
%------------------------------------------------------------------------------