%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG184+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 : n012.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 11:48:48 AM UTC 2026
% Result : Theorem 0.08s 0.34s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 30
% Syntax : Number of formulae : 243 ( 63 unt; 25 def)
% Number of atoms : 869 ( 608 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 837 ( 211 ~; 328 |; 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/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) = 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/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(f25,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f26,plain,
e22 != e24,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f27,plain,
e23 != e24,
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(f63,plain,
op1(e12,e10) = e11,
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) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f67,plain,
op1(e12,e14) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f68,plain,
op1(e13,e10) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f71,plain,
op1(e13,e13) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f76,plain,
op1(e14,e13) = e14,
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(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(f90,plain,
op2(e22,e22) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f91,plain,
op2(e22,e23) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f92,plain,
op2(e22,e24) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f97,plain,
op2(e23,e24) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f98,plain,
op2(e24,e20) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f99,plain,
op2(e24,e21) = e22,
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(f104,plain,
( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
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(f107,plain,
( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f108,plain,
( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(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(f124,plain,
h(op1(e12,e10)) = op2(h(e12),h(e10)),
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(f128,plain,
h(op1(e12,e14)) = op2(h(e12),h(e14)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f129,plain,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
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(f137,plain,
h(op1(e14,e13)) = op2(h(e14),h(e13)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f138,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f139,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f145,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(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(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(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(f183,definition,
( sQ3_spl
<=> h(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( ~ sQ3_spl
| h(e10) = e23 ),
inference(component_clause,[status(thm)],[f183]) ).
fof(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(f189,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f104,f174,f177,f180,f183,f186]) ).
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(f211,plain,
( sQ11_spl
| h(e12) != e21 ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ12_spl
<=> h(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ12_spl
| h(e12) = e22 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(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(f222,definition,
( sQ15_spl
<=> h(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ15_spl
| h(e13) = e20 ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,definition,
( sQ16_spl
<=> h(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ16_spl
| h(e13) = e21 ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,definition,
( sQ17_spl
<=> h(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ17_spl
| h(e13) = e22 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,definition,
( sQ18_spl
<=> h(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ18_spl
| h(e13) = e23 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,definition,
( sQ19_spl
<=> h(e13) = e24 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ19_spl
| h(e13) = e24 ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f107,f222,f225,f228,f231,f234]) ).
fof(f238,definition,
( sQ20_spl
<=> h(e14) = e20 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ20_spl
| h(e14) = e20 ),
inference(component_clause,[status(thm)],[f238]) ).
fof(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(f244,definition,
( sQ22_spl
<=> h(e14) = e22 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ22_spl
| h(e14) = e22 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
( sQ23_spl
<=> h(e14) = e23 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( ~ sQ23_spl
| h(e14) = e23 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,definition,
( sQ24_spl
<=> h(e14) = e24 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ24_spl
| h(e14) = e24 ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f108,f238,f241,f244,f247,f250]) ).
fof(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(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(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(f297,plain,
( sQ38_spl
| j(e22) != e13 ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f311,definition,
( sQ43_spl
<=> j(e23) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ43_spl
| j(e23) = e13 ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f318,definition,
( sQ45_spl
<=> j(e24) = e10 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ45_spl
| j(e24) = e10 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f320,plain,
( sQ45_spl
| j(e24) != e10 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f347,plain,
h(e14) = op2(h(e10),h(e10)),
inference(backward_demodulation,[status(thm)],[f53,f114]) ).
fof(f477,plain,
h(e12) = op2(h(e11),h(e12)),
inference(forward_demodulation,[status(thm)],[f60,f121]) ).
fof(f511,plain,
h(e11) = op2(h(e12),h(e10)),
inference(forward_demodulation,[status(thm)],[f63,f124]) ).
fof(f526,plain,
h(e10) = op2(h(e12),h(e13)),
inference(forward_demodulation,[status(thm)],[f66,f127]) ).
fof(f547,plain,
h(e12) = op2(h(e12),h(e14)),
inference(forward_demodulation,[status(thm)],[f67,f128]) ).
fof(f555,plain,
h(e13) = op2(h(e13),h(e10)),
inference(forward_demodulation,[status(thm)],[f68,f129]) ).
fof(f587,plain,
h(e12) = op2(h(e13),h(e13)),
inference(forward_demodulation,[status(thm)],[f71,f132]) ).
fof(f639,plain,
h(e14) = op2(h(e14),h(e13)),
inference(forward_demodulation,[status(thm)],[f76,f137]) ).
fof(f642,plain,
h(e10) = op2(h(e14),h(e14)),
inference(forward_demodulation,[status(thm)],[f77,f138]) ).
fof(f643,plain,
( ~ sQ21_spl
| h(e10) = op2(e21,h(e14)) ),
inference(forward_demodulation,[status(thm)],[f242,f642]) ).
fof(f644,plain,
( ~ sQ21_spl
| h(e10) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f242,f643]) ).
fof(f645,plain,
( ~ sQ21_spl
| h(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f84,f644]) ).
fof(f646,plain,
( ~ sQ21_spl
| sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f645,f179]) ).
fof(f647,plain,
( ~ sQ21_spl
| sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f646]) ).
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(f690,plain,
j(e21) = op1(j(e21),j(e21)),
inference(forward_demodulation,[status(thm)],[f84,f145]) ).
fof(f730,plain,
( ~ sQ16_spl
| h(e12) = op2(e21,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f226,f587]) ).
fof(f731,plain,
( ~ sQ16_spl
| h(e12) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f226,f730]) ).
fof(f732,plain,
( ~ sQ16_spl
| h(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f84,f731]) ).
fof(f751,plain,
j(e22) = op1(j(e22),j(e22)),
inference(forward_demodulation,[status(thm)],[f90,f151]) ).
fof(f768,plain,
( sQ11_spl
| ~ sQ16_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f732,f211]) ).
fof(f769,plain,
( sQ11_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f768]) ).
fof(f770,plain,
( sQ11_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f769]) ).
fof(f810,plain,
j(e23) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f96,f157]) ).
fof(f863,plain,
j(e24) = op1(j(e24),j(e24)),
inference(forward_demodulation,[status(thm)],[f102,f163]) ).
fof(f873,plain,
( ~ sQ4_spl
| j(e24) = e10 ),
inference(forward_demodulation,[status(thm)],[f187,f169]) ).
fof(f874,plain,
( ~ sQ4_spl
| sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f873,f320]) ).
fof(f875,plain,
( ~ sQ4_spl
| sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f874]) ).
fof(f899,plain,
( ~ sQ45_spl
| j(e24) = op1(j(e24),e10) ),
inference(backward_demodulation,[status(thm)],[f319,f863]) ).
fof(f900,plain,
( ~ sQ45_spl
| e10 = op1(j(e24),e10) ),
inference(forward_demodulation,[status(thm)],[f319,f899]) ).
fof(f901,plain,
( ~ sQ45_spl
| e10 = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f319,f900]) ).
fof(f902,plain,
( ~ sQ45_spl
| e10 = e14 ),
inference(forward_demodulation,[status(thm)],[f53,f901]) ).
fof(f903,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f902,f11]) ).
fof(f904,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f903]) ).
fof(f910,plain,
( ~ sQ17_spl
| j(e22) = e13 ),
inference(forward_demodulation,[status(thm)],[f229,f172]) ).
fof(f912,plain,
( sQ38_spl
| ~ sQ17_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f910,f297]) ).
fof(f913,plain,
( sQ38_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f912]) ).
fof(f914,plain,
( sQ38_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f913]) ).
fof(f915,plain,
( ~ sQ2_spl
| h(e14) = op2(e22,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f181,f347]) ).
fof(f916,plain,
( ~ sQ2_spl
| h(e14) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f181,f915]) ).
fof(f919,plain,
( ~ sQ2_spl
| h(e14) = e22 ),
inference(forward_demodulation,[status(thm)],[f90,f916]) ).
fof(f947,plain,
( ~ sQ10_spl
| j(e20) = e12 ),
inference(backward_demodulation,[status(thm)],[f207,f171]) ).
fof(f949,plain,
( ~ sQ10_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f947,f260,f206]) ).
fof(f984,plain,
( ~ sQ2_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f919,f244,f180]) ).
fof(f997,plain,
( ~ sQ20_spl
| h(e12) = op2(h(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f239,f547]) ).
fof(f1004,plain,
( ~ sQ12_spl
| h(e10) = op2(e22,h(e13)) ),
inference(backward_demodulation,[status(thm)],[f213,f526]) ).
fof(f1042,plain,
( ~ sQ22_spl
| e22 = op2(h(e14),h(e13)) ),
inference(forward_demodulation,[status(thm)],[f245,f639]) ).
fof(f1043,plain,
( ~ sQ22_spl
| e22 = op2(e22,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f245,f1042]) ).
fof(f1050,plain,
( ~ sQ22_spl
| ~ sQ19_spl
| e22 = op2(e22,e24) ),
inference(backward_demodulation,[status(thm)],[f235,f1043]) ).
fof(f1053,plain,
( ~ sQ22_spl
| ~ sQ19_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f92,f1050]) ).
fof(f1054,plain,
( ~ sQ22_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1053,f25]) ).
fof(f1055,plain,
( ~ sQ22_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1054]) ).
fof(f1156,plain,
( ~ sQ15_spl
| h(e12) = op2(h(e13),e20) ),
inference(backward_demodulation,[status(thm)],[f223,f587]) ).
fof(f1160,plain,
( ~ sQ15_spl
| h(e12) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f223,f1156]) ).
fof(f1161,plain,
( ~ sQ15_spl
| h(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f1160]) ).
fof(f1196,plain,
( ~ sQ13_spl
| e23 = op2(h(e13),h(e13)) ),
inference(forward_demodulation,[status(thm)],[f216,f587]) ).
fof(f1255,plain,
( ~ sQ38_spl
| j(e22) = op1(j(e22),e13) ),
inference(backward_demodulation,[status(thm)],[f296,f751]) ).
fof(f1259,plain,
( ~ sQ38_spl
| e13 = op1(j(e22),e13) ),
inference(forward_demodulation,[status(thm)],[f296,f1255]) ).
fof(f1260,plain,
( ~ sQ38_spl
| e13 = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f296,f1259]) ).
fof(f1261,plain,
( ~ sQ38_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f71,f1260]) ).
fof(f1262,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1261,f15]) ).
fof(f1263,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f1262]) ).
fof(f1329,plain,
( ~ sQ15_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f1161,f206,f222]) ).
fof(f1351,plain,
( ~ sQ0_spl
| h(e14) = op2(e20,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f175,f347]) ).
fof(f1352,plain,
( ~ sQ0_spl
| h(e14) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f175,f1351]) ).
fof(f1353,plain,
( ~ sQ0_spl
| h(e14) = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f1352]) ).
fof(f1354,plain,
( ~ sQ0_spl
| sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1353,f240]) ).
fof(f1355,plain,
( ~ sQ0_spl
| sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1354]) ).
fof(f1357,plain,
( ~ sQ20_spl
| ~ sQ14_spl
| e24 = op2(h(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f219,f997]) ).
fof(f1358,plain,
( ~ sQ20_spl
| ~ sQ14_spl
| e24 = op2(e24,e20) ),
inference(forward_demodulation,[status(thm)],[f219,f1357]) ).
fof(f1359,plain,
( ~ sQ20_spl
| ~ sQ14_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f98,f1358]) ).
fof(f1360,plain,
( ~ sQ20_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1359,f27]) ).
fof(f1361,plain,
( ~ sQ20_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1360]) ).
fof(f1370,plain,
( ~ sQ18_spl
| j(e23) = e13 ),
inference(backward_demodulation,[status(thm)],[f232,f172]) ).
fof(f1371,plain,
( ~ sQ18_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f1370,f311,f231]) ).
fof(f1422,plain,
( ~ sQ43_spl
| j(e23) = op1(j(e23),e13) ),
inference(backward_demodulation,[status(thm)],[f312,f810]) ).
fof(f1423,plain,
( ~ sQ43_spl
| e13 = op1(j(e23),e13) ),
inference(forward_demodulation,[status(thm)],[f312,f1422]) ).
fof(f1424,plain,
( ~ sQ43_spl
| e13 = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f312,f1423]) ).
fof(f1425,plain,
( ~ sQ43_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f71,f1424]) ).
fof(f1426,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1425,f15]) ).
fof(f1427,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f1426]) ).
fof(f1464,plain,
( ~ sQ1_spl
| h(e13) = op2(h(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f178,f555]) ).
fof(f1471,plain,
( ~ sQ11_spl
| j(e21) = e12 ),
inference(backward_demodulation,[status(thm)],[f210,f171]) ).
fof(f1472,plain,
( ~ sQ11_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f1471,f276,f209]) ).
fof(f1537,plain,
( ~ sQ23_spl
| e23 = op2(h(e14),h(e13)) ),
inference(forward_demodulation,[status(thm)],[f248,f639]) ).
fof(f1538,plain,
( ~ sQ23_spl
| e23 = op2(e23,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f248,f1537]) ).
fof(f1545,plain,
( ~ sQ32_spl
| e12 = op1(j(e21),j(e21)) ),
inference(forward_demodulation,[status(thm)],[f277,f690]) ).
fof(f1546,plain,
( ~ sQ32_spl
| e12 = op1(e12,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f277,f1545]) ).
fof(f1547,plain,
( ~ sQ32_spl
| e12 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f277,f1546]) ).
fof(f1548,plain,
( ~ sQ32_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f65,f1547]) ).
fof(f1549,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1548,f15]) ).
fof(f1550,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f1549]) ).
fof(f1622,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| e24 = op2(h(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f235,f1464]) ).
fof(f1623,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| e24 = op2(e24,e21) ),
inference(forward_demodulation,[status(thm)],[f235,f1622]) ).
fof(f1624,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| e24 = e22 ),
inference(forward_demodulation,[status(thm)],[f99,f1623]) ).
fof(f1625,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1624,f26]) ).
fof(f1626,plain,
( ~ sQ1_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1625]) ).
fof(f1628,plain,
( ~ sQ12_spl
| ~ sQ19_spl
| h(e10) = op2(e22,e24) ),
inference(forward_demodulation,[status(thm)],[f235,f1004]) ).
fof(f1629,plain,
( ~ sQ12_spl
| ~ sQ19_spl
| h(e10) = e23 ),
inference(forward_demodulation,[status(thm)],[f92,f1628]) ).
fof(f1714,plain,
( ~ sQ12_spl
| e22 = op2(h(e11),h(e12)) ),
inference(forward_demodulation,[status(thm)],[f213,f477]) ).
fof(f1715,plain,
( ~ sQ12_spl
| e22 = op2(h(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f213,f1714]) ).
fof(f1716,plain,
( ~ sQ12_spl
| h(e11) = op2(e22,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f213,f511]) ).
fof(f1717,plain,
( ~ sQ12_spl
| ~ sQ19_spl
| h(e11) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1629,f1716]) ).
fof(f1718,plain,
( ~ sQ12_spl
| ~ sQ19_spl
| e22 = op2(e20,e22) ),
inference(backward_demodulation,[status(thm)],[f1719,f1715]) ).
fof(f1719,plain,
( ~ sQ12_spl
| ~ sQ19_spl
| h(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f91,f1717]) ).
fof(f1720,plain,
( ~ sQ12_spl
| ~ sQ19_spl
| e22 = e24 ),
inference(forward_demodulation,[status(thm)],[f80,f1718]) ).
fof(f1721,plain,
( ~ sQ12_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1720,f26]) ).
fof(f1722,plain,
( ~ sQ12_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1721]) ).
fof(f1732,plain,
( ~ sQ13_spl
| ~ sQ19_spl
| e23 = op2(e24,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f235,f1196]) ).
fof(f1733,plain,
( ~ sQ13_spl
| ~ sQ19_spl
| e23 = op2(e24,e24) ),
inference(forward_demodulation,[status(thm)],[f235,f1732]) ).
fof(f1734,plain,
( ~ sQ13_spl
| ~ sQ19_spl
| e23 = e24 ),
inference(forward_demodulation,[status(thm)],[f102,f1733]) ).
fof(f1735,plain,
( ~ sQ13_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1734,f27]) ).
fof(f1736,plain,
( ~ sQ13_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1735]) ).
fof(f1769,plain,
( ~ sQ23_spl
| ~ sQ19_spl
| e23 = op2(e23,e24) ),
inference(forward_demodulation,[status(thm)],[f235,f1538]) ).
fof(f1770,plain,
( ~ sQ23_spl
| ~ sQ19_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f97,f1769]) ).
fof(f1771,plain,
( ~ sQ23_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1770,f25]) ).
fof(f1772,plain,
( ~ sQ23_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1771]) ).
fof(f1808,plain,
( ~ sQ24_spl
| e24 = op2(h(e10),h(e10)) ),
inference(forward_demodulation,[status(thm)],[f251,f347]) ).
fof(f1809,plain,
( ~ sQ24_spl
| ~ sQ3_spl
| e24 = op2(e23,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f184,f1808]) ).
fof(f1810,plain,
( ~ sQ24_spl
| ~ sQ3_spl
| e24 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f184,f1809]) ).
fof(f1811,plain,
( ~ sQ24_spl
| ~ sQ3_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f96,f1810]) ).
fof(f1812,plain,
( ~ sQ24_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1811,f27]) ).
fof(f1813,plain,
( ~ sQ24_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1812]) ).
fof(f1814,plain,
$false,
inference(sat_refutation,[status(thm)],[f189,f221,f237,f253,f647,f656,f770,f875,f904,f914,f949,f984,f1055,f1263,f1329,f1355,f1361,f1371,f1427,f1472,f1550,f1626,f1722,f1736,f1772,f1813]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ALG184+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 13:00:37 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.31 % Drodi V4.1.1
% 0.08/0.34 % Refutation found
% 0.08/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.35 % Elapsed time: 0.048514 seconds
% 0.08/0.35 % CPU time: 0.191964 seconds
% 0.08/0.35 % Total memory used: 114.146 MB
% 0.08/0.35 % Net memory used: 113.957 MB
%------------------------------------------------------------------------------