%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG182+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 0.14s 0.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 30
% Syntax : Number of formulae : 245 ( 63 unt; 25 def)
% Number of atoms : 857 ( 601 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 828 ( 216 ~; 314 |; 271 &)
% ( 25 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 27 ( 25 usr; 26 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op1(e14,e14) = e11
& op1(e14,e13) = e13
& op1(e14,e12) = e14
& op1(e14,e11) = e10
& op1(e14,e10) = e12
& op1(e13,e14) = e12
& op1(e13,e13) = e10
& op1(e13,e12) = e13
& op1(e13,e11) = e11
& op1(e13,e10) = e14
& op1(e12,e14) = e10
& op1(e12,e13) = e14
& op1(e12,e12) = e12
& op1(e12,e11) = e13
& op1(e12,e10) = e11
& op1(e11,e14) = e13
& op1(e11,e13) = e12
& op1(e11,e12) = e11
& op1(e11,e11) = e14
& op1(e11,e10) = e10
& op1(e10,e14) = e14
& op1(e10,e13) = e11
& op1(e10,e12) = e10
& op1(e10,e11) = e12
& op1(e10,e10) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op2(e24,e24) = e24
& op2(e24,e23) = e21
& op2(e24,e22) = e20
& op2(e24,e21) = e22
& op2(e24,e20) = e23
& op2(e23,e24) = e22
& op2(e23,e23) = e23
& op2(e23,e22) = e21
& op2(e23,e21) = e20
& op2(e23,e20) = e24
& op2(e22,e24) = e23
& op2(e22,e23) = e20
& op2(e22,e22) = e22
& op2(e22,e21) = e24
& op2(e22,e20) = e21
& op2(e21,e24) = e20
& op2(e21,e23) = e24
& op2(e21,e22) = e23
& op2(e21,e21) = e21
& op2(e21,e20) = e22
& op2(e20,e24) = e21
& op2(e20,e23) = e22
& op2(e20,e22) = e24
& op2(e20,e21) = e23
& op2(e20,e20) = e20 ),
file('/export/starexec/sandbox2/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/sandbox2/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(f10,plain,
e10 != e13,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f14,plain,
e11 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f19,plain,
e20 != e22,
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(f53,plain,
op1(e10,e10) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f55,plain,
op1(e10,e12) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f59,plain,
op1(e11,e11) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f63,plain,
op1(e12,e10) = e11,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f68,plain,
op1(e13,e10) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f70,plain,
op1(e13,e12) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f71,plain,
op1(e13,e13) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f77,plain,
op1(e14,e14) = e11,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f78,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f80,plain,
op2(e20,e22) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f84,plain,
op2(e21,e21) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f86,plain,
op2(e21,e23) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f88,plain,
op2(e22,e20) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f90,plain,
op2(e22,e22) = e22,
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(f109,plain,
( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = 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(f116,plain,
h(op1(e10,e12)) = op2(h(e10),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(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(f141,plain,
j(op2(e20,e22)) = op1(j(e20),j(e22)),
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(f147,plain,
j(op2(e21,e23)) = op1(j(e21),j(e23)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f149,plain,
j(op2(e22,e20)) = op1(j(e22),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(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(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(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(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(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(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(f227,plain,
( sQ16_spl
| h(e13) != e21 ),
inference(component_clause,[status(thm)],[f225]) ).
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(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(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(f266,definition,
( sQ29_spl
<=> j(e20) = e14 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ29_spl
| j(e20) = e14 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f109,f254,f257,f260,f263,f266]) ).
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(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(f281,plain,
( sQ33_spl
| j(e21) != e13 ),
inference(component_clause,[status(thm)],[f279]) ).
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(f302,definition,
( sQ40_spl
<=> j(e23) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ40_spl
| j(e23) = e10 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,definition,
( sQ41_spl
<=> j(e23) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( ~ sQ41_spl
| j(e23) = e11 ),
inference(component_clause,[status(thm)],[f305]) ).
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(f321,definition,
( sQ46_spl
<=> j(e24) = e11 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ46_spl
| j(e24) = e11 ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f323,plain,
( sQ46_spl
| j(e24) != e11 ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f356,plain,
h(e13) = op2(h(e10),h(e10)),
inference(backward_demodulation,[status(thm)],[f53,f114]) ).
fof(f358,plain,
h(e10) = op2(h(e10),h(e12)),
inference(backward_demodulation,[status(thm)],[f55,f116]) ).
fof(f402,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f213,f210]) ).
fof(f403,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f402,f22]) ).
fof(f404,plain,
( ~ sQ11_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f403]) ).
fof(f440,plain,
( ~ sQ25_spl
| h(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f255,f164]) ).
fof(f455,plain,
( ~ sQ2_spl
| ~ sQ25_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f440,f181]) ).
fof(f456,plain,
( ~ sQ2_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f455,f19]) ).
fof(f457,plain,
( ~ sQ2_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f456]) ).
fof(f484,plain,
( ~ sQ35_spl
| h(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f287,f166]) ).
fof(f488,plain,
( ~ sQ35_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f484,f180,f286]) ).
fof(f536,plain,
h(e10) = op2(h(e13),h(e13)),
inference(forward_demodulation,[status(thm)],[f71,f132]) ).
fof(f568,plain,
h(e11) = op2(h(e14),h(e14)),
inference(forward_demodulation,[status(thm)],[f77,f138]) ).
fof(f572,plain,
( ~ sQ26_spl
| j(op2(e20,e20)) = op1(e11,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f258,f139]) ).
fof(f573,plain,
( ~ sQ26_spl
| j(op2(e20,e20)) = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f258,f572]) ).
fof(f574,plain,
( ~ sQ26_spl
| j(op2(e20,e20)) = e14 ),
inference(forward_demodulation,[status(thm)],[f59,f573]) ).
fof(f582,plain,
j(e24) = op1(j(e20),j(e22)),
inference(forward_demodulation,[status(thm)],[f80,f141]) ).
fof(f603,plain,
j(e21) = op1(j(e21),j(e21)),
inference(forward_demodulation,[status(thm)],[f84,f145]) ).
fof(f609,plain,
j(e24) = op1(j(e21),j(e23)),
inference(forward_demodulation,[status(thm)],[f86,f147]) ).
fof(f610,plain,
( ~ sQ45_spl
| e10 = op1(j(e21),j(e23)) ),
inference(forward_demodulation,[status(thm)],[f319,f609]) ).
fof(f614,plain,
j(e21) = op1(j(e22),j(e20)),
inference(forward_demodulation,[status(thm)],[f88,f149]) ).
fof(f615,plain,
( ~ sQ27_spl
| j(e21) = op1(j(e22),e12) ),
inference(forward_demodulation,[status(thm)],[f261,f614]) ).
fof(f631,plain,
j(e22) = op1(j(e22),j(e22)),
inference(forward_demodulation,[status(thm)],[f90,f151]) ).
fof(f664,plain,
j(e23) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f96,f157]) ).
fof(f698,plain,
j(e24) = op1(j(e24),j(e24)),
inference(forward_demodulation,[status(thm)],[f102,f163]) ).
fof(f730,plain,
( ~ sQ2_spl
| j(e22) = e10 ),
inference(forward_demodulation,[status(thm)],[f181,f169]) ).
fof(f771,plain,
( ~ sQ22_spl
| j(e22) = e14 ),
inference(backward_demodulation,[status(thm)],[f245,f173]) ).
fof(f773,plain,
( ~ sQ22_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f771,f298,f244]) ).
fof(f783,plain,
( ~ sQ12_spl
| h(e10) = op2(h(e10),e22) ),
inference(backward_demodulation,[status(thm)],[f213,f358]) ).
fof(f811,plain,
( ~ sQ28_spl
| h(e13) = e20 ),
inference(backward_demodulation,[status(thm)],[f264,f164]) ).
fof(f814,plain,
( ~ sQ28_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f811,f222,f263]) ).
fof(f815,plain,
( ~ sQ25_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f440,f174,f254]) ).
fof(f820,plain,
( ~ sQ26_spl
| j(e20) = e14 ),
inference(forward_demodulation,[status(thm)],[f78,f574]) ).
fof(f826,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[status(thm)],[f78,f139]) ).
fof(f833,plain,
( ~ sQ37_spl
| j(e21) = op1(e12,j(e20)) ),
inference(backward_demodulation,[status(thm)],[f293,f614]) ).
fof(f837,plain,
( ~ sQ37_spl
| h(e12) = e22 ),
inference(backward_demodulation,[status(thm)],[f293,f166]) ).
fof(f838,plain,
( ~ sQ37_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f837,f212,f292]) ).
fof(f849,plain,
( ~ sQ26_spl
| j(e20) = op1(j(e20),e14) ),
inference(backward_demodulation,[status(thm)],[f820,f826]) ).
fof(f850,plain,
( ~ sQ26_spl
| e14 = op1(j(e20),e14) ),
inference(forward_demodulation,[status(thm)],[f820,f849]) ).
fof(f851,plain,
( ~ sQ26_spl
| e14 = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f820,f850]) ).
fof(f852,plain,
( ~ sQ26_spl
| e14 = e11 ),
inference(forward_demodulation,[status(thm)],[f77,f851]) ).
fof(f853,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f852,f14]) ).
fof(f854,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f853]) ).
fof(f855,plain,
( ~ sQ45_spl
| e10 = j(e24) ),
inference(forward_demodulation,[status(thm)],[f609,f610]) ).
fof(f874,plain,
( ~ sQ36_spl
| j(e22) = op1(j(e22),e11) ),
inference(backward_demodulation,[status(thm)],[f290,f631]) ).
fof(f876,plain,
( ~ sQ36_spl
| e11 = op1(j(e22),e11) ),
inference(forward_demodulation,[status(thm)],[f290,f874]) ).
fof(f877,plain,
( ~ sQ36_spl
| e11 = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f290,f876]) ).
fof(f878,plain,
( ~ sQ36_spl
| e11 = e14 ),
inference(forward_demodulation,[status(thm)],[f59,f877]) ).
fof(f879,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f878,f14]) ).
fof(f880,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f879]) ).
fof(f896,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| e20 = op2(h(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f175,f783]) ).
fof(f897,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| e20 = op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f175,f896]) ).
fof(f898,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| e20 = e24 ),
inference(forward_demodulation,[status(thm)],[f80,f897]) ).
fof(f899,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f898,f21]) ).
fof(f900,plain,
( ~ sQ12_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f899]) ).
fof(f906,plain,
( ~ sQ41_spl
| j(e23) = op1(j(e23),e11) ),
inference(backward_demodulation,[status(thm)],[f306,f664]) ).
fof(f913,plain,
( ~ sQ41_spl
| e11 = op1(j(e23),e11) ),
inference(forward_demodulation,[status(thm)],[f306,f906]) ).
fof(f914,plain,
( ~ sQ41_spl
| e11 = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f306,f913]) ).
fof(f915,plain,
( ~ sQ41_spl
| e11 = e14 ),
inference(forward_demodulation,[status(thm)],[f59,f914]) ).
fof(f916,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f915,f14]) ).
fof(f917,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f916]) ).
fof(f924,plain,
( ~ sQ45_spl
| e10 = op1(j(e24),j(e24)) ),
inference(forward_demodulation,[status(thm)],[f855,f698]) ).
fof(f925,plain,
( ~ sQ45_spl
| e10 = op1(e10,j(e24)) ),
inference(forward_demodulation,[status(thm)],[f855,f924]) ).
fof(f926,plain,
( ~ sQ45_spl
| e10 = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f855,f925]) ).
fof(f927,plain,
( ~ sQ45_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f53,f926]) ).
fof(f928,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f927,f10]) ).
fof(f929,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f928]) ).
fof(f937,plain,
( ~ sQ15_spl
| h(e10) = op2(e20,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f223,f536]) ).
fof(f938,plain,
( ~ sQ15_spl
| h(e10) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f223,f937]) ).
fof(f939,plain,
( ~ sQ15_spl
| j(e20) = e10 ),
inference(backward_demodulation,[status(thm)],[f940,f169]) ).
fof(f940,plain,
( ~ sQ15_spl
| h(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f938]) ).
fof(f941,plain,
( ~ sQ15_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f939,f254,f222]) ).
fof(f944,plain,
( ~ sQ5_spl
| j(e20) = e11 ),
inference(backward_demodulation,[status(thm)],[f191,f170]) ).
fof(f947,plain,
( ~ sQ5_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f944,f257,f190]) ).
fof(f952,plain,
( ~ sQ33_spl
| j(e21) = op1(j(e21),e13) ),
inference(backward_demodulation,[status(thm)],[f280,f603]) ).
fof(f953,plain,
( ~ sQ33_spl
| e13 = op1(j(e21),e13) ),
inference(forward_demodulation,[status(thm)],[f280,f952]) ).
fof(f954,plain,
( ~ sQ33_spl
| e13 = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f280,f953]) ).
fof(f955,plain,
( ~ sQ33_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f71,f954]) ).
fof(f956,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f955,f10]) ).
fof(f957,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f956]) ).
fof(f1010,plain,
( ~ sQ7_spl
| e22 = op2(h(e14),h(e14)) ),
inference(backward_demodulation,[status(thm)],[f197,f568]) ).
fof(f1036,plain,
( ~ sQ30_spl
| h(e10) = e21 ),
inference(backward_demodulation,[status(thm)],[f271,f165]) ).
fof(f1082,plain,
( ~ sQ38_spl
| j(e21) = op1(e13,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f296,f614]) ).
fof(f1098,plain,
( ~ sQ16_spl
| j(e21) = e13 ),
inference(backward_demodulation,[status(thm)],[f226,f172]) ).
fof(f1101,plain,
( ~ sQ16_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f1098,f279,f225]) ).
fof(f1111,plain,
( ~ sQ29_spl
| e14 = op1(j(e20),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f267,f826]) ).
fof(f1112,plain,
( ~ sQ29_spl
| e14 = op1(e14,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f267,f1111]) ).
fof(f1113,plain,
( ~ sQ29_spl
| e14 = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f267,f1112]) ).
fof(f1114,plain,
( ~ sQ29_spl
| e14 = e11 ),
inference(forward_demodulation,[status(thm)],[f77,f1113]) ).
fof(f1115,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1114,f14]) ).
fof(f1116,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f1115]) ).
fof(f1127,plain,
( ~ sQ40_spl
| e10 = op1(j(e23),j(e23)) ),
inference(forward_demodulation,[status(thm)],[f303,f664]) ).
fof(f1128,plain,
( ~ sQ40_spl
| e10 = op1(e10,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f303,f1127]) ).
fof(f1129,plain,
( ~ sQ40_spl
| e10 = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f303,f1128]) ).
fof(f1130,plain,
( ~ sQ40_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f53,f1129]) ).
fof(f1131,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1130,f10]) ).
fof(f1132,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f1131]) ).
fof(f1152,plain,
( ~ sQ39_spl
| j(e22) = op1(j(e22),e14) ),
inference(backward_demodulation,[status(thm)],[f299,f631]) ).
fof(f1156,plain,
( ~ sQ39_spl
| e14 = op1(j(e22),e14) ),
inference(forward_demodulation,[status(thm)],[f299,f1152]) ).
fof(f1157,plain,
( ~ sQ39_spl
| e14 = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f299,f1156]) ).
fof(f1158,plain,
( ~ sQ39_spl
| e14 = e11 ),
inference(forward_demodulation,[status(thm)],[f77,f1157]) ).
fof(f1159,plain,
( ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1158,f14]) ).
fof(f1160,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f1159]) ).
fof(f1176,plain,
( ~ sQ38_spl
| ~ sQ25_spl
| j(e21) = op1(e13,e10) ),
inference(forward_demodulation,[status(thm)],[f255,f1082]) ).
fof(f1177,plain,
( ~ sQ38_spl
| ~ sQ25_spl
| j(e21) = e14 ),
inference(forward_demodulation,[status(thm)],[f68,f1176]) ).
fof(f1178,plain,
( ~ sQ46_spl
| e11 = op1(j(e24),j(e24)) ),
inference(forward_demodulation,[status(thm)],[f322,f698]) ).
fof(f1179,plain,
( ~ sQ46_spl
| e11 = op1(e11,j(e24)) ),
inference(forward_demodulation,[status(thm)],[f322,f1178]) ).
fof(f1180,plain,
( ~ sQ46_spl
| e11 = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f322,f1179]) ).
fof(f1181,plain,
( ~ sQ46_spl
| e11 = e14 ),
inference(forward_demodulation,[status(thm)],[f59,f1180]) ).
fof(f1182,plain,
( ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1181,f14]) ).
fof(f1183,plain,
~ sQ46_spl,
inference(contradiction_clause,[status(thm)],[f1182]) ).
fof(f1227,plain,
( ~ sQ38_spl
| ~ sQ25_spl
| e14 = op1(j(e21),j(e21)) ),
inference(forward_demodulation,[status(thm)],[f1177,f603]) ).
fof(f1228,plain,
( ~ sQ38_spl
| ~ sQ25_spl
| e14 = op1(e14,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f1177,f1227]) ).
fof(f1229,plain,
( ~ sQ38_spl
| ~ sQ25_spl
| e14 = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f1177,f1228]) ).
fof(f1230,plain,
( ~ sQ38_spl
| ~ sQ25_spl
| e14 = e11 ),
inference(forward_demodulation,[status(thm)],[f77,f1229]) ).
fof(f1231,plain,
( ~ sQ38_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1230,f14]) ).
fof(f1232,plain,
( ~ sQ38_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1231]) ).
fof(f1233,plain,
( ~ sQ27_spl
| ~ sQ38_spl
| j(e21) = op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f296,f615]) ).
fof(f1234,plain,
( ~ sQ27_spl
| ~ sQ38_spl
| j(e21) = e13 ),
inference(forward_demodulation,[status(thm)],[f70,f1233]) ).
fof(f1255,plain,
( sQ33_spl
| ~ sQ27_spl
| ~ sQ38_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f1234,f281]) ).
fof(f1256,plain,
( sQ33_spl
| ~ sQ27_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1255]) ).
fof(f1257,plain,
( sQ33_spl
| ~ sQ27_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1256]) ).
fof(f1262,plain,
( ~ sQ37_spl
| ~ sQ27_spl
| j(e21) = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f261,f833]) ).
fof(f1263,plain,
( ~ sQ37_spl
| ~ sQ27_spl
| j(e21) = e12 ),
inference(forward_demodulation,[status(thm)],[f65,f1262]) ).
fof(f1265,plain,
( ~ sQ7_spl
| e22 = h(e11) ),
inference(forward_demodulation,[status(thm)],[f568,f1010]) ).
fof(f1275,plain,
( ~ sQ30_spl
| h(e13) = op2(h(e10),e21) ),
inference(backward_demodulation,[status(thm)],[f1036,f356]) ).
fof(f1277,plain,
( ~ sQ30_spl
| h(e13) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1036,f1275]) ).
fof(f1278,plain,
( ~ sQ30_spl
| h(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f84,f1277]) ).
fof(f1279,plain,
( ~ sQ30_spl
| sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1278,f227]) ).
fof(f1280,plain,
( ~ sQ30_spl
| sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1279]) ).
fof(f1305,plain,
( ~ sQ37_spl
| ~ sQ27_spl
| h(e12) = e21 ),
inference(backward_demodulation,[status(thm)],[f1263,f165]) ).
fof(f1306,plain,
( ~ sQ37_spl
| ~ sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f1305,f209,f260,f292]) ).
fof(f1316,plain,
( ~ sQ7_spl
| j(e22) = e11 ),
inference(backward_demodulation,[status(thm)],[f1265,f170]) ).
fof(f1321,plain,
( ~ sQ7_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1316,f289,f196]) ).
fof(f1357,plain,
( ~ sQ27_spl
| j(e24) = op1(e12,j(e22)) ),
inference(forward_demodulation,[status(thm)],[f261,f582]) ).
fof(f1372,plain,
( ~ sQ27_spl
| ~ sQ2_spl
| j(e24) = op1(e12,e10) ),
inference(backward_demodulation,[status(thm)],[f730,f1357]) ).
fof(f1376,plain,
( ~ sQ27_spl
| ~ sQ2_spl
| j(e24) = e11 ),
inference(forward_demodulation,[status(thm)],[f63,f1372]) ).
fof(f1426,plain,
( ~ sQ27_spl
| ~ sQ2_spl
| sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1376,f323]) ).
fof(f1427,plain,
( ~ sQ27_spl
| ~ sQ2_spl
| sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1426]) ).
fof(f1428,plain,
$false,
inference(sat_refutation,[status(thm)],[f269,f301,f404,f457,f488,f773,f814,f815,f838,f854,f880,f900,f917,f929,f941,f947,f957,f1101,f1116,f1132,f1160,f1183,f1232,f1257,f1280,f1306,f1321,f1427]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG182+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n017.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 12:56:12 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.14/0.43 % Refutation found
% 0.14/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.45 % Elapsed time: 0.079543 seconds
% 0.14/0.45 % CPU time: 0.319101 seconds
% 0.14/0.45 % Total memory used: 114.628 MB
% 0.14/0.45 % Net memory used: 114.401 MB
%------------------------------------------------------------------------------