%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG085+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 : n010.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 0.09s 0.41s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 35
% Syntax : Number of formulae : 326 ( 83 unt; 30 def)
% Number of atoms : 1055 ( 668 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 1054 ( 325 ~; 426 |; 271 &)
% ( 30 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 32 ( 30 usr; 31 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) = e12
& op1(e14,e13) = e10
& op1(e14,e12) = e11
& op1(e14,e11) = e13
& op1(e14,e10) = e14
& op1(e13,e14) = e10
& op1(e13,e13) = e11
& op1(e13,e12) = e14
& op1(e13,e11) = e12
& op1(e13,e10) = e13
& op1(e12,e14) = e11
& op1(e12,e13) = e14
& op1(e12,e12) = e13
& op1(e12,e11) = e10
& op1(e12,e10) = e12
& op1(e11,e14) = e13
& op1(e11,e13) = e12
& op1(e11,e12) = e10
& op1(e11,e11) = e14
& 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/sandbox2/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) = e22
& op2(e23,e23) = e21
& op2(e23,e22) = e20
& op2(e23,e21) = e24
& op2(e23,e20) = e23
& op2(e22,e24) = e21
& op2(e22,e23) = e24
& op2(e22,e22) = e23
& op2(e22,e21) = e20
& op2(e22,e20) = e22
& op2(e21,e24) = e23
& op2(e21,e23) = e20
& op2(e21,e22) = e24
& op2(e21,e21) = e22
& 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/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(f8,plain,
e10 != e11,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
e10 != e12,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
e10 != e13,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
e11 != e12,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f13,plain,
e11 != e13,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f14,plain,
e11 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f15,plain,
e12 != e13,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f16,plain,
e12 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f17,plain,
e13 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f21,plain,
e20 != e24,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f22,plain,
e21 != e22,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f25,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f59,plain,
op1(e11,e11) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f60,plain,
op1(e11,e12) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f61,plain,
op1(e11,e13) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f62,plain,
op1(e11,e14) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f66,plain,
op1(e12,e13) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f67,plain,
op1(e12,e14) = e11,
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) = e11,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f72,plain,
op1(e13,e14) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f74,plain,
op1(e14,e11) = e13,
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) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f77,plain,
op1(e14,e14) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f78,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f79,plain,
op2(e20,e21) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f83,plain,
op2(e21,e20) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f84,plain,
op2(e21,e21) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f85,plain,
op2(e21,e22) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f86,plain,
op2(e21,e23) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f87,plain,
op2(e21,e24) = 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) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f91,plain,
op2(e22,e23) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e21,
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(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(f120,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
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(f126,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f127,plain,
h(op1(e12,e13)) = op2(h(e12),h(e13)),
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(f133,plain,
h(op1(e13,e14)) = op2(h(e13),h(e14)),
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(f144,plain,
j(op2(e21,e20)) = op1(j(e21),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(f148,plain,
j(op2(e21,e24)) = op1(j(e21),j(e24)),
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(f151,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f152,plain,
j(op2(e22,e23)) = op1(j(e22),j(e23)),
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(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(f167,plain,
h(j(e23)) = e23,
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(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(f177,definition,
( sQ1_spl
<=> h(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ1_spl
| h(e10) = e21 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f179,plain,
( sQ1_spl
| h(e10) != e21 ),
inference(component_clause,[status(thm)],[f177]) ).
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(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(f208,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(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(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(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(f243,plain,
( sQ21_spl
| h(e14) != e21 ),
inference(component_clause,[status(thm)],[f241]) ).
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(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(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(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(f307,plain,
( sQ41_spl
| j(e23) != e11 ),
inference(component_clause,[status(thm)],[f305]) ).
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(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(f329,plain,
( sQ48_spl
| j(e24) != e13 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f347,plain,
h(e10) = op2(h(e10),h(e10)),
inference(backward_demodulation,[status(thm)],[f53,f114]) ).
fof(f359,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f283,f280]) ).
fof(f360,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f359,f17]) ).
fof(f361,plain,
( ~ sQ33_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f360]) ).
fof(f433,plain,
( ~ sQ25_spl
| h(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f255,f164]) ).
fof(f434,plain,
( ~ sQ30_spl
| h(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f271,f165]) ).
fof(f438,plain,
( ~ sQ25_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f433,f174,f254]) ).
fof(f449,plain,
( ~ sQ35_spl
| h(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f287,f166]) ).
fof(f453,plain,
( ~ sQ35_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f449,f180,f286]) ).
fof(f454,plain,
h(e14) = op2(h(e11),h(e11)),
inference(forward_demodulation,[status(thm)],[f59,f120]) ).
fof(f479,plain,
h(e10) = op2(h(e11),h(e12)),
inference(forward_demodulation,[status(thm)],[f60,f121]) ).
fof(f480,plain,
( ~ sQ5_spl
| h(e10) = op2(e20,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f191,f479]) ).
fof(f520,plain,
h(e13) = op2(h(e12),h(e12)),
inference(forward_demodulation,[status(thm)],[f65,f126]) ).
fof(f521,plain,
h(e14) = op2(h(e12),h(e13)),
inference(forward_demodulation,[status(thm)],[f66,f127]) ).
fof(f529,plain,
( ~ sQ10_spl
| h(e13) = op2(h(e12),e20) ),
inference(backward_demodulation,[status(thm)],[f207,f520]) ).
fof(f530,plain,
( ~ sQ10_spl
| h(e13) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f207,f529]) ).
fof(f531,plain,
( ~ sQ10_spl
| h(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f530]) ).
fof(f565,plain,
h(e14) = op2(h(e13),h(e12)),
inference(forward_demodulation,[status(thm)],[f70,f131]) ).
fof(f566,plain,
( ~ sQ21_spl
| e21 = op2(h(e13),h(e12)) ),
inference(forward_demodulation,[status(thm)],[f242,f565]) ).
fof(f568,plain,
h(e10) = op2(h(e13),h(e14)),
inference(forward_demodulation,[status(thm)],[f72,f133]) ).
fof(f569,plain,
( ~ sQ21_spl
| h(e10) = op2(h(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f242,f568]) ).
fof(f577,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| e21 = op2(h(e13),e21) ),
inference(backward_demodulation,[status(thm)],[f210,f566]) ).
fof(f578,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| e21 = h(e10) ),
inference(forward_demodulation,[status(thm)],[f569,f577]) ).
fof(f593,plain,
( ~ sQ11_spl
| h(e14) = op2(e21,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f210,f521]) ).
fof(f595,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| h(e10) = op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f210,f480]) ).
fof(f596,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| h(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f79,f595]) ).
fof(f606,plain,
h(e10) = op2(h(e14),h(e13)),
inference(forward_demodulation,[status(thm)],[f76,f137]) ).
fof(f608,plain,
h(e12) = op2(h(e14),h(e14)),
inference(forward_demodulation,[status(thm)],[f77,f138]) ).
fof(f610,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f596,f179]) ).
fof(f611,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f610]) ).
fof(f612,plain,
( ~ sQ15_spl
| h(e14) = op2(h(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f223,f521]) ).
fof(f622,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[status(thm)],[f78,f139]) ).
fof(f650,plain,
j(e21) = op1(j(e21),j(e20)),
inference(forward_demodulation,[status(thm)],[f83,f144]) ).
fof(f651,plain,
( ~ sQ31_spl
| e11 = op1(j(e21),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f274,f650]) ).
fof(f652,plain,
( ~ sQ31_spl
| e11 = op1(e11,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f274,f651]) ).
fof(f658,plain,
( ~ sQ31_spl
| ~ sQ26_spl
| e11 = op1(e11,e11) ),
inference(backward_demodulation,[status(thm)],[f258,f652]) ).
fof(f664,plain,
( ~ sQ31_spl
| ~ sQ26_spl
| e11 = e14 ),
inference(forward_demodulation,[status(thm)],[f59,f658]) ).
fof(f665,plain,
( ~ sQ31_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f664,f14]) ).
fof(f666,plain,
( ~ sQ31_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f665]) ).
fof(f667,plain,
j(e22) = op1(j(e21),j(e21)),
inference(forward_demodulation,[status(thm)],[f84,f145]) ).
fof(f668,plain,
( ~ sQ36_spl
| e11 = op1(j(e21),j(e21)) ),
inference(forward_demodulation,[status(thm)],[f290,f667]) ).
fof(f675,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| e11 = op1(j(e21),e12) ),
inference(backward_demodulation,[status(thm)],[f277,f668]) ).
fof(f676,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| e11 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f277,f675]) ).
fof(f677,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f65,f676]) ).
fof(f678,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f677,f13]) ).
fof(f679,plain,
( ~ sQ36_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f678]) ).
fof(f681,plain,
( ~ sQ30_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f434,f177,f270]) ).
fof(f710,plain,
j(e23) = op1(j(e21),j(e24)),
inference(forward_demodulation,[status(thm)],[f87,f148]) ).
fof(f717,plain,
( ~ sQ48_spl
| j(e23) = op1(j(e21),e13) ),
inference(forward_demodulation,[status(thm)],[f328,f710]) ).
fof(f724,plain,
j(e20) = op1(j(e22),j(e21)),
inference(forward_demodulation,[status(thm)],[f89,f150]) ).
fof(f725,plain,
( ~ sQ25_spl
| e10 = op1(j(e22),j(e21)) ),
inference(forward_demodulation,[status(thm)],[f255,f724]) ).
fof(f726,plain,
( ~ sQ25_spl
| ~ sQ37_spl
| e10 = op1(e12,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f293,f725]) ).
fof(f729,plain,
j(e23) = op1(j(e22),j(e22)),
inference(forward_demodulation,[status(thm)],[f90,f151]) ).
fof(f730,plain,
( ~ sQ37_spl
| j(e23) = op1(e12,j(e22)) ),
inference(forward_demodulation,[status(thm)],[f293,f729]) ).
fof(f731,plain,
( ~ sQ37_spl
| j(e23) = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f293,f730]) ).
fof(f732,plain,
( ~ sQ37_spl
| j(e23) = e13 ),
inference(forward_demodulation,[status(thm)],[f65,f731]) ).
fof(f736,plain,
j(e24) = op1(j(e22),j(e23)),
inference(forward_demodulation,[status(thm)],[f91,f152]) ).
fof(f779,plain,
j(e21) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f96,f157]) ).
fof(f875,plain,
( ~ sQ16_spl
| j(e21) = e13 ),
inference(backward_demodulation,[status(thm)],[f226,f172]) ).
fof(f876,plain,
( ~ sQ16_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f875,f279,f225]) ).
fof(f883,plain,
( ~ sQ11_spl
| j(e21) = e12 ),
inference(backward_demodulation,[status(thm)],[f210,f171]) ).
fof(f886,plain,
( ~ sQ11_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f883,f276,f209]) ).
fof(f887,plain,
( ~ sQ10_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f531,f222,f206]) ).
fof(f924,plain,
( ~ sQ32_spl
| h(e12) = e21 ),
inference(backward_demodulation,[status(thm)],[f277,f165]) ).
fof(f925,plain,
( ~ sQ32_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f924,f209,f276]) ).
fof(f935,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f578,f177,f209,f241]) ).
fof(f987,plain,
( ~ sQ21_spl
| ~ sQ15_spl
| h(e10) = op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f223,f569]) ).
fof(f988,plain,
( ~ sQ21_spl
| ~ sQ15_spl
| h(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f79,f987]) ).
fof(f1018,plain,
( ~ sQ5_spl
| h(e14) = op2(h(e11),e20) ),
inference(backward_demodulation,[status(thm)],[f191,f454]) ).
fof(f1021,plain,
( ~ sQ5_spl
| h(e14) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f191,f1018]) ).
fof(f1022,plain,
( ~ sQ5_spl
| h(e14) = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f1021]) ).
fof(f1023,plain,
( ~ sQ5_spl
| sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1022,f240]) ).
fof(f1024,plain,
( ~ sQ5_spl
| sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1023]) ).
fof(f1052,plain,
( ~ sQ20_spl
| h(e12) = op2(e20,h(e14)) ),
inference(forward_demodulation,[status(thm)],[f239,f608]) ).
fof(f1053,plain,
( ~ sQ20_spl
| h(e12) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f239,f1052]) ).
fof(f1054,plain,
( ~ sQ20_spl
| h(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f1053]) ).
fof(f1055,plain,
( ~ sQ20_spl
| sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1054,f208]) ).
fof(f1056,plain,
( ~ sQ20_spl
| sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1055]) ).
fof(f1085,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| j(e23) = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f280,f717]) ).
fof(f1086,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| j(e23) = e11 ),
inference(forward_demodulation,[status(thm)],[f71,f1085]) ).
fof(f1097,plain,
( ~ sQ27_spl
| j(e20) = op1(j(e20),e12) ),
inference(backward_demodulation,[status(thm)],[f261,f622]) ).
fof(f1100,plain,
( ~ sQ27_spl
| e12 = op1(j(e20),e12) ),
inference(forward_demodulation,[status(thm)],[f261,f1097]) ).
fof(f1101,plain,
( ~ sQ27_spl
| e12 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f261,f1100]) ).
fof(f1102,plain,
( ~ sQ27_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f65,f1101]) ).
fof(f1103,plain,
( ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1102,f15]) ).
fof(f1104,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f1103]) ).
fof(f1134,plain,
( ~ sQ33_spl
| j(e22) = op1(e13,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f280,f667]) ).
fof(f1135,plain,
( ~ sQ33_spl
| j(e22) = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f280,f1134]) ).
fof(f1136,plain,
( ~ sQ33_spl
| j(e22) = e11 ),
inference(forward_demodulation,[status(thm)],[f71,f1135]) ).
fof(f1139,plain,
( ~ sQ33_spl
| j(e23) = op1(e11,j(e22)) ),
inference(forward_demodulation,[status(thm)],[f1136,f729]) ).
fof(f1140,plain,
( ~ sQ33_spl
| j(e23) = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f1136,f1139]) ).
fof(f1141,plain,
( ~ sQ33_spl
| j(e23) = e14 ),
inference(forward_demodulation,[status(thm)],[f59,f1140]) ).
fof(f1148,plain,
( ~ sQ11_spl
| ~ sQ18_spl
| h(e14) = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f232,f593]) ).
fof(f1149,plain,
( ~ sQ11_spl
| ~ sQ18_spl
| h(e14) = e20 ),
inference(forward_demodulation,[status(thm)],[f86,f1148]) ).
fof(f1198,plain,
( ~ sQ11_spl
| ~ sQ18_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1149,f238,f231,f209]) ).
fof(f1273,plain,
( ~ sQ25_spl
| ~ sQ37_spl
| ~ sQ34_spl
| e10 = op1(e12,e14) ),
inference(forward_demodulation,[status(thm)],[f283,f726]) ).
fof(f1274,plain,
( ~ sQ25_spl
| ~ sQ37_spl
| ~ sQ34_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f67,f1273]) ).
fof(f1275,plain,
( ~ sQ25_spl
| ~ sQ37_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1274,f8]) ).
fof(f1276,plain,
( ~ sQ25_spl
| ~ sQ37_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1275]) ).
fof(f1286,plain,
( ~ sQ36_spl
| ~ sQ34_spl
| e11 = op1(e14,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f283,f668]) ).
fof(f1287,plain,
( ~ sQ36_spl
| ~ sQ34_spl
| e11 = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f283,f1286]) ).
fof(f1288,plain,
( ~ sQ36_spl
| ~ sQ34_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f77,f1287]) ).
fof(f1289,plain,
( ~ sQ36_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1288,f12]) ).
fof(f1290,plain,
( ~ sQ36_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1289]) ).
fof(f1291,plain,
( ~ sQ37_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f732,f311,f292]) ).
fof(f1297,plain,
( ~ sQ33_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1136,f289,f279]) ).
fof(f1306,plain,
( ~ sQ41_spl
| j(e21) = op1(j(e23),e11) ),
inference(backward_demodulation,[status(thm)],[f306,f779]) ).
fof(f1307,plain,
( ~ sQ41_spl
| j(e21) = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f306,f1306]) ).
fof(f1308,plain,
( ~ sQ41_spl
| j(e21) = e14 ),
inference(forward_demodulation,[status(thm)],[f59,f1307]) ).
fof(f1320,plain,
( ~ sQ34_spl
| h(e14) = e21 ),
inference(forward_demodulation,[status(thm)],[f283,f165]) ).
fof(f1327,plain,
( ~ sQ26_spl
| h(e11) = e20 ),
inference(backward_demodulation,[status(thm)],[f258,f164]) ).
fof(f1331,plain,
( ~ sQ26_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f1327,f190,f257]) ).
fof(f1332,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f1086,f305,f279,f327]) ).
fof(f1333,plain,
( ~ sQ41_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1308,f282,f305]) ).
fof(f1335,plain,
( ~ sQ34_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1320,f241,f282]) ).
fof(f1377,plain,
( ~ sQ38_spl
| h(e13) = e22 ),
inference(backward_demodulation,[status(thm)],[f296,f166]) ).
fof(f1379,plain,
( ~ sQ38_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1377,f228,f295]) ).
fof(f1410,plain,
( ~ sQ43_spl
| h(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f312,f167]) ).
fof(f1419,plain,
( ~ sQ1_spl
| h(e10) = op2(h(e10),e21) ),
inference(backward_demodulation,[status(thm)],[f178,f347]) ).
fof(f1422,plain,
( ~ sQ1_spl
| e21 = op2(h(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f178,f1419]) ).
fof(f1423,plain,
( ~ sQ1_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f178,f1422]) ).
fof(f1424,plain,
( ~ sQ1_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f84,f1423]) ).
fof(f1425,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1424,f22]) ).
fof(f1426,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f1425]) ).
fof(f1494,plain,
( ~ sQ31_spl
| j(e22) = op1(e11,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f274,f667]) ).
fof(f1495,plain,
( ~ sQ31_spl
| j(e22) = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f274,f1494]) ).
fof(f1496,plain,
( ~ sQ31_spl
| j(e22) = e14 ),
inference(forward_demodulation,[status(thm)],[f59,f1495]) ).
fof(f1498,plain,
( ~ sQ43_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1410,f231,f311]) ).
fof(f1510,plain,
( ~ sQ21_spl
| ~ sQ15_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f988,f177,f222,f241]) ).
fof(f1516,plain,
( ~ sQ31_spl
| e11 = op1(j(e21),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f274,f650]) ).
fof(f1517,plain,
( ~ sQ31_spl
| e11 = op1(e11,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f274,f1516]) ).
fof(f1518,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| e11 = op1(e11,e13) ),
inference(backward_demodulation,[status(thm)],[f264,f1517]) ).
fof(f1520,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f61,f1518]) ).
fof(f1521,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1520,f12]) ).
fof(f1522,plain,
( ~ sQ31_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1521]) ).
fof(f1536,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| e10 = op1(e14,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f1496,f725]) ).
fof(f1537,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| e10 = op1(e14,e11) ),
inference(forward_demodulation,[status(thm)],[f274,f1536]) ).
fof(f1538,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f74,f1537]) ).
fof(f1539,plain,
( ~ sQ25_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1538,f10]) ).
fof(f1540,plain,
( ~ sQ25_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1539]) ).
fof(f1612,plain,
( ~ sQ0_spl
| e20 = op2(h(e14),h(e13)) ),
inference(forward_demodulation,[status(thm)],[f175,f606]) ).
fof(f1613,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| e20 = op2(e21,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f242,f1612]) ).
fof(f1614,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| ~ sQ17_spl
| e20 = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f229,f1613]) ).
fof(f1615,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| ~ sQ17_spl
| e20 = e24 ),
inference(forward_demodulation,[status(thm)],[f85,f1614]) ).
fof(f1616,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1615,f21]) ).
fof(f1617,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1616]) ).
fof(f1669,plain,
( ~ sQ25_spl
| e10 = op1(j(e22),j(e21)) ),
inference(forward_demodulation,[status(thm)],[f255,f724]) ).
fof(f1670,plain,
( ~ sQ25_spl
| ~ sQ39_spl
| e10 = op1(e14,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f299,f1669]) ).
fof(f1671,plain,
( ~ sQ25_spl
| ~ sQ39_spl
| ~ sQ34_spl
| e10 = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f283,f1670]) ).
fof(f1672,plain,
( ~ sQ25_spl
| ~ sQ39_spl
| ~ sQ34_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f77,f1671]) ).
fof(f1673,plain,
( ~ sQ25_spl
| ~ sQ39_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1672,f9]) ).
fof(f1674,plain,
( ~ sQ25_spl
| ~ sQ39_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1673]) ).
fof(f1736,plain,
( ~ sQ28_spl
| h(e13) = e20 ),
inference(backward_demodulation,[status(thm)],[f264,f164]) ).
fof(f1740,plain,
( ~ sQ28_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1736,f222,f263]) ).
fof(f1838,plain,
( ~ sQ2_spl
| e22 = op2(h(e10),h(e10)) ),
inference(forward_demodulation,[status(thm)],[f181,f347]) ).
fof(f1839,plain,
( ~ sQ2_spl
| e22 = op2(e22,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f181,f1838]) ).
fof(f1840,plain,
( ~ sQ2_spl
| e22 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f181,f1839]) ).
fof(f1841,plain,
( ~ sQ2_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f90,f1840]) ).
fof(f1842,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1841,f25]) ).
fof(f1843,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f1842]) ).
fof(f1877,plain,
( ~ sQ38_spl
| j(e23) = op1(e13,j(e22)) ),
inference(forward_demodulation,[status(thm)],[f296,f729]) ).
fof(f1878,plain,
( ~ sQ38_spl
| j(e23) = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f296,f1877]) ).
fof(f1879,plain,
( ~ sQ38_spl
| j(e23) = e11 ),
inference(forward_demodulation,[status(thm)],[f71,f1878]) ).
fof(f1907,plain,
( sQ41_spl
| ~ sQ38_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f1879,f307]) ).
fof(f1908,plain,
( sQ41_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1907]) ).
fof(f1909,plain,
( sQ41_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1908]) ).
fof(f1953,plain,
( ~ sQ15_spl
| ~ sQ11_spl
| h(e14) = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f210,f612]) ).
fof(f1954,plain,
( ~ sQ15_spl
| ~ sQ11_spl
| h(e14) = e21 ),
inference(forward_demodulation,[status(thm)],[f83,f1953]) ).
fof(f1955,plain,
( ~ sQ15_spl
| ~ sQ11_spl
| sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1954,f243]) ).
fof(f1956,plain,
( ~ sQ15_spl
| ~ sQ11_spl
| sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1955]) ).
fof(f1971,plain,
( ~ sQ25_spl
| ~ sQ39_spl
| ~ sQ32_spl
| e10 = op1(e14,e12) ),
inference(forward_demodulation,[status(thm)],[f277,f1670]) ).
fof(f1972,plain,
( ~ sQ25_spl
| ~ sQ39_spl
| ~ sQ32_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f75,f1971]) ).
fof(f1973,plain,
( ~ sQ25_spl
| ~ sQ39_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1972,f8]) ).
fof(f1974,plain,
( ~ sQ25_spl
| ~ sQ39_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1973]) ).
fof(f2016,plain,
( ~ sQ29_spl
| j(e20) = op1(j(e20),e14) ),
inference(backward_demodulation,[status(thm)],[f267,f622]) ).
fof(f2018,plain,
( ~ sQ29_spl
| e14 = op1(j(e20),e14) ),
inference(forward_demodulation,[status(thm)],[f267,f2016]) ).
fof(f2019,plain,
( ~ sQ29_spl
| e14 = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f267,f2018]) ).
fof(f2020,plain,
( ~ sQ29_spl
| e14 = e12 ),
inference(forward_demodulation,[status(thm)],[f77,f2019]) ).
fof(f2021,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2020,f16]) ).
fof(f2022,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f2021]) ).
fof(f2054,plain,
( ~ sQ36_spl
| j(e24) = op1(e11,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f290,f736]) ).
fof(f2055,plain,
( ~ sQ36_spl
| ~ sQ33_spl
| j(e24) = op1(e11,e14) ),
inference(forward_demodulation,[status(thm)],[f1141,f2054]) ).
fof(f2056,plain,
( ~ sQ36_spl
| ~ sQ33_spl
| j(e24) = e13 ),
inference(forward_demodulation,[status(thm)],[f62,f2055]) ).
fof(f2057,plain,
( ~ sQ36_spl
| ~ sQ33_spl
| sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2056,f329]) ).
fof(f2058,plain,
( ~ sQ36_spl
| ~ sQ33_spl
| sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2057]) ).
fof(f2059,plain,
$false,
inference(sat_refutation,[status(thm)],[f269,f285,f301,f361,f438,f453,f611,f666,f679,f681,f876,f886,f887,f925,f935,f1024,f1056,f1104,f1198,f1276,f1290,f1291,f1297,f1331,f1332,f1333,f1335,f1379,f1426,f1498,f1510,f1522,f1540,f1617,f1674,f1740,f1843,f1909,f1956,f1974,f2022,f2058]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG085+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.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 12:55:55 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.46 % Elapsed time: 0.072725 seconds
% 0.09/0.46 % CPU time: 0.276057 seconds
% 0.09/0.46 % Total memory used: 106.429 MB
% 0.09/0.46 % Net memory used: 106.253 MB
%------------------------------------------------------------------------------