%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG084+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 : n001.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 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 50
% Syntax : Number of formulae : 480 ( 105 unt; 45 def)
% Number of atoms : 1423 ( 793 equ)
% Maximal formula atoms : 110 ( 2 avg)
% Number of connectives : 1442 ( 499 ~; 625 |; 271 &)
% ( 45 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 47 ( 45 usr; 46 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) = 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/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op2(e24,e24) = e21
& op2(e24,e23) = e22
& op2(e24,e22) = e20
& op2(e24,e21) = e23
& op2(e24,e20) = e24
& op2(e23,e24) = e22
& op2(e23,e23) = e21
& op2(e23,e22) = e24
& op2(e23,e21) = e20
& op2(e23,e20) = e23
& op2(e22,e24) = e23
& op2(e22,e23) = e20
& op2(e22,e22) = e21
& op2(e22,e21) = e24
& op2(e22,e20) = e22
& op2(e21,e24) = e20
& op2(e21,e23) = e24
& op2(e21,e22) = e23
& 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/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(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(f18,plain,
e20 != e21,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f19,plain,
e20 != e22,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f20,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f21,plain,
e20 != e24,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f23,plain,
e21 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f24,plain,
e21 != e24,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f26,plain,
e22 != e24,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(f64,plain,
op1(e12,e11) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f68,plain,
op1(e13,e10) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f69,plain,
op1(e13,e11) = e12,
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(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(f86,plain,
op2(e21,e23) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f87,plain,
op2(e21,e24) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f89,plain,
op2(e22,e21) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f90,plain,
op2(e22,e22) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f91,plain,
op2(e22,e23) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f94,plain,
op2(e23,e21) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f97,plain,
op2(e23,e24) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f99,plain,
op2(e24,e21) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f101,plain,
op2(e24,e23) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f102,plain,
op2(e24,e24) = 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(f105,plain,
( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = 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(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(f112,plain,
( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f113,plain,
( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = 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(f122,plain,
h(op1(e11,e13)) = op2(h(e11),h(e13)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f123,plain,
h(op1(e11,e14)) = op2(h(e11),h(e14)),
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(f129,plain,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
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(f135,plain,
h(op1(e14,e11)) = op2(h(e14),h(e11)),
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(f140,plain,
j(op2(e20,e21)) = op1(j(e20),j(e21)),
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(f147,plain,
j(op2(e21,e23)) = op1(j(e21),j(e23)),
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(f155,plain,
j(op2(e23,e21)) = op1(j(e23),j(e21)),
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(f158,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f160,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f162,plain,
j(op2(e24,e23)) = op1(j(e24),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(f167,plain,
h(j(e23)) = e23,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f168,plain,
h(j(e24)) = e24,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f169,plain,
j(h(e10)) = e10,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f170,plain,
j(h(e11)) = e11,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f171,plain,
j(h(e12)) = e12,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f172,plain,
j(h(e13)) = e13,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f173,plain,
j(h(e14)) = e14,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f174,definition,
( sQ0_spl
<=> h(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ0_spl
| h(e10) = e20 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(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(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(f188,plain,
( sQ4_spl
| h(e10) != e24 ),
inference(component_clause,[status(thm)],[f186]) ).
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(f193,definition,
( sQ6_spl
<=> h(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ6_spl
| h(e11) = e21 ),
inference(component_clause,[status(thm)],[f193]) ).
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(f199,definition,
( sQ8_spl
<=> h(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ8_spl
| h(e11) = e23 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,definition,
( sQ9_spl
<=> h(e11) = e24 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ9_spl
| h(e11) = e24 ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f105,f190,f193,f196,f199,f202]) ).
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(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(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(f238,definition,
( sQ20_spl
<=> h(e14) = e20 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ20_spl
| h(e14) = e20 ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
( sQ21_spl
<=> h(e14) = e21 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ21_spl
| h(e14) = e21 ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
( sQ22_spl
<=> h(e14) = e22 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ22_spl
| h(e14) = e22 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(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(f262,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(f265,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(f272,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(f275,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(f291,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(f294,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(f304,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(f308,definition,
( sQ42_spl
<=> j(e23) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ42_spl
| j(e23) = e12 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(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(f314,definition,
( sQ44_spl
<=> j(e23) = e14 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ44_spl
| j(e23) = e14 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f112,f302,f305,f308,f311,f314]) ).
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(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(f324,definition,
( sQ47_spl
<=> j(e24) = e12 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ47_spl
| j(e24) = e12 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f326,plain,
( sQ47_spl
| j(e24) != e12 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,definition,
( sQ48_spl
<=> j(e24) = e13 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ48_spl
| j(e24) = e13 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
( sQ49_spl
<=> j(e24) = e14 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ49_spl
| j(e24) = e14 ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f113,f318,f321,f324,f327,f330]) ).
fof(f347,plain,
h(e10) = op2(h(e10),h(e10)),
inference(backward_demodulation,[status(thm)],[f53,f114]) ).
fof(f349,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f309,f306]) ).
fof(f350,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f349,f12]) ).
fof(f351,plain,
( ~ sQ41_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f350]) ).
fof(f356,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f293,f290]) ).
fof(f357,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f356,f12]) ).
fof(f358,plain,
( ~ sQ36_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f357]) ).
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(f435,plain,
( ~ sQ30_spl
| ~ sQ0_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f175,f434]) ).
fof(f436,plain,
( ~ sQ30_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f435,f18]) ).
fof(f437,plain,
( ~ sQ30_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f436]) ).
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(f450,plain,
( ~ sQ35_spl
| ~ sQ0_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f175,f449]) ).
fof(f451,plain,
( ~ sQ35_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f450,f19]) ).
fof(f452,plain,
( ~ sQ35_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f451]) ).
fof(f454,plain,
h(e14) = op2(h(e11),h(e11)),
inference(forward_demodulation,[status(thm)],[f59,f120]) ).
fof(f489,plain,
( ~ sQ40_spl
| h(e10) = e23 ),
inference(forward_demodulation,[status(thm)],[f303,f167]) ).
fof(f493,plain,
h(e12) = op2(h(e11),h(e13)),
inference(forward_demodulation,[status(thm)],[f61,f122]) ).
fof(f494,plain,
( ~ sQ15_spl
| h(e12) = op2(h(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f223,f493]) ).
fof(f495,plain,
h(e13) = op2(h(e11),h(e14)),
inference(forward_demodulation,[status(thm)],[f62,f123]) ).
fof(f496,plain,
( ~ sQ15_spl
| e20 = op2(h(e11),h(e14)) ),
inference(forward_demodulation,[status(thm)],[f223,f495]) ).
fof(f497,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| e20 = op2(h(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f239,f496]) ).
fof(f499,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| e20 = h(e12) ),
inference(forward_demodulation,[status(thm)],[f494,f497]) ).
fof(f505,plain,
( sQ10_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f499,f208]) ).
fof(f506,plain,
( sQ10_spl
| ~ sQ15_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f505]) ).
fof(f507,plain,
( sQ10_spl
| ~ sQ15_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f506]) ).
fof(f520,plain,
h(e13) = op2(h(e12),h(e12)),
inference(forward_demodulation,[status(thm)],[f65,f126]) ).
fof(f535,plain,
h(e13) = op2(h(e13),h(e10)),
inference(forward_demodulation,[status(thm)],[f68,f129]) ).
fof(f538,plain,
( ~ sQ1_spl
| h(e13) = op2(h(e13),e21) ),
inference(backward_demodulation,[status(thm)],[f178,f535]) ).
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(f582,plain,
h(e13) = op2(h(e14),h(e11)),
inference(forward_demodulation,[status(thm)],[f74,f135]) ).
fof(f583,plain,
( ~ sQ21_spl
| h(e13) = op2(e21,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f242,f582]) ).
fof(f584,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| h(e13) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f194,f583]) ).
fof(f587,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| h(e10) = op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f588,f569]) ).
fof(f588,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| h(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f84,f584]) ).
fof(f589,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| h(e10) = e24 ),
inference(forward_demodulation,[status(thm)],[f89,f587]) ).
fof(f590,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f589,f188]) ).
fof(f591,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f590]) ).
fof(f608,plain,
h(e12) = op2(h(e14),h(e14)),
inference(forward_demodulation,[status(thm)],[f77,f138]) ).
fof(f609,plain,
( ~ sQ11_spl
| e21 = op2(h(e14),h(e14)) ),
inference(forward_demodulation,[status(thm)],[f210,f608]) ).
fof(f623,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[status(thm)],[f78,f139]) ).
fof(f624,plain,
( ~ sQ26_spl
| e11 = op1(j(e20),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f258,f623]) ).
fof(f625,plain,
( ~ sQ26_spl
| e11 = op1(e11,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f258,f624]) ).
fof(f626,plain,
( ~ sQ26_spl
| e11 = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f258,f625]) ).
fof(f627,plain,
( ~ sQ26_spl
| e11 = e14 ),
inference(forward_demodulation,[status(thm)],[f59,f626]) ).
fof(f628,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f627,f14]) ).
fof(f629,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f628]) ).
fof(f636,plain,
j(e21) = op1(j(e20),j(e21)),
inference(forward_demodulation,[status(thm)],[f79,f140]) ).
fof(f637,plain,
( ~ sQ31_spl
| e11 = op1(j(e20),j(e21)) ),
inference(forward_demodulation,[status(thm)],[f274,f636]) ).
fof(f638,plain,
( ~ sQ31_spl
| e11 = op1(j(e20),e11) ),
inference(forward_demodulation,[status(thm)],[f274,f637]) ).
fof(f659,plain,
j(e21) = op1(j(e21),j(e20)),
inference(forward_demodulation,[status(thm)],[f83,f144]) ).
fof(f660,plain,
( ~ sQ28_spl
| j(e21) = op1(j(e21),e13) ),
inference(backward_demodulation,[status(thm)],[f264,f659]) ).
fof(f670,plain,
j(e22) = op1(j(e21),j(e21)),
inference(forward_demodulation,[status(thm)],[f84,f145]) ).
fof(f671,plain,
( ~ sQ36_spl
| e11 = op1(j(e21),j(e21)) ),
inference(forward_demodulation,[status(thm)],[f290,f670]) ).
fof(f672,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| e11 = op1(j(e21),e12) ),
inference(backward_demodulation,[status(thm)],[f277,f671]) ).
fof(f676,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| e11 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f277,f672]) ).
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(f685,plain,
j(e24) = op1(j(e21),j(e23)),
inference(forward_demodulation,[status(thm)],[f86,f147]) ).
fof(f712,plain,
j(e24) = op1(j(e22),j(e21)),
inference(forward_demodulation,[status(thm)],[f89,f150]) ).
fof(f714,plain,
j(e21) = op1(j(e22),j(e22)),
inference(forward_demodulation,[status(thm)],[f90,f151]) ).
fof(f715,plain,
( ~ sQ37_spl
| j(e21) = op1(e12,j(e22)) ),
inference(forward_demodulation,[status(thm)],[f293,f714]) ).
fof(f716,plain,
( ~ sQ37_spl
| j(e21) = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f293,f715]) ).
fof(f723,plain,
( ~ sQ37_spl
| j(e21) = e13 ),
inference(forward_demodulation,[status(thm)],[f65,f716]) ).
fof(f730,plain,
j(e20) = op1(j(e22),j(e23)),
inference(forward_demodulation,[status(thm)],[f91,f152]) ).
fof(f731,plain,
( ~ sQ37_spl
| j(e20) = op1(e12,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f293,f730]) ).
fof(f732,plain,
( ~ sQ37_spl
| ~ sQ42_spl
| j(e20) = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f309,f731]) ).
fof(f733,plain,
( ~ sQ37_spl
| ~ sQ42_spl
| j(e20) = e13 ),
inference(forward_demodulation,[status(thm)],[f65,f732]) ).
fof(f734,plain,
( ~ sQ37_spl
| ~ sQ42_spl
| sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f733,f265]) ).
fof(f735,plain,
( ~ sQ37_spl
| ~ sQ42_spl
| sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f734]) ).
fof(f755,plain,
j(e20) = op1(j(e23),j(e21)),
inference(forward_demodulation,[status(thm)],[f94,f155]) ).
fof(f766,plain,
j(e21) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f96,f157]) ).
fof(f767,plain,
( ~ sQ33_spl
| e13 = op1(j(e23),j(e23)) ),
inference(forward_demodulation,[status(thm)],[f280,f766]) ).
fof(f790,plain,
( ~ sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f723,f279,f292]) ).
fof(f791,plain,
j(e22) = op1(j(e23),j(e24)),
inference(forward_demodulation,[status(thm)],[f97,f158]) ).
fof(f799,plain,
( ~ sQ47_spl
| j(e22) = op1(j(e23),e12) ),
inference(backward_demodulation,[status(thm)],[f325,f791]) ).
fof(f801,plain,
j(e23) = op1(j(e24),j(e21)),
inference(forward_demodulation,[status(thm)],[f99,f160]) ).
fof(f809,plain,
j(e22) = op1(j(e24),j(e23)),
inference(forward_demodulation,[status(thm)],[f101,f162]) ).
fof(f815,plain,
j(e21) = op1(j(e24),j(e24)),
inference(forward_demodulation,[status(thm)],[f102,f163]) ).
fof(f823,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| e20 = e24 ),
inference(forward_demodulation,[status(thm)],[f175,f187]) ).
fof(f824,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f823,f21]) ).
fof(f825,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f824]) ).
fof(f833,plain,
( ~ sQ7_spl
| j(e22) = e11 ),
inference(forward_demodulation,[status(thm)],[f197,f170]) ).
fof(f834,plain,
( ~ sQ7_spl
| sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f833,f291]) ).
fof(f835,plain,
( ~ sQ7_spl
| sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f834]) ).
fof(f836,plain,
( ~ sQ12_spl
| j(e22) = e12 ),
inference(forward_demodulation,[status(thm)],[f213,f171]) ).
fof(f837,plain,
( ~ sQ12_spl
| sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f836,f294]) ).
fof(f838,plain,
( ~ sQ12_spl
| sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f837]) ).
fof(f856,plain,
( ~ sQ46_spl
| h(e11) = e24 ),
inference(backward_demodulation,[status(thm)],[f322,f168]) ).
fof(f857,plain,
( ~ sQ46_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f856,f202,f321]) ).
fof(f858,plain,
( ~ sQ47_spl
| ~ sQ42_spl
| j(e22) = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f309,f799]) ).
fof(f859,plain,
( ~ sQ47_spl
| ~ sQ42_spl
| j(e22) = e13 ),
inference(forward_demodulation,[status(thm)],[f65,f858]) ).
fof(f869,plain,
( ~ sQ16_spl
| j(e21) = e13 ),
inference(backward_demodulation,[status(thm)],[f226,f172]) ).
fof(f878,plain,
( ~ sQ31_spl
| h(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f274,f165]) ).
fof(f891,plain,
( ~ sQ1_spl
| j(e21) = e10 ),
inference(backward_demodulation,[status(thm)],[f178,f169]) ).
fof(f896,plain,
( ~ sQ9_spl
| ~ sQ31_spl
| e21 = e24 ),
inference(forward_demodulation,[status(thm)],[f878,f203]) ).
fof(f897,plain,
( ~ sQ9_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f896,f24]) ).
fof(f898,plain,
( ~ sQ9_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f897]) ).
fof(f899,plain,
( ~ sQ30_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f434,f177,f270]) ).
fof(f902,plain,
( ~ sQ28_spl
| h(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f264,f164]) ).
fof(f909,plain,
( ~ sQ21_spl
| j(e21) = e14 ),
inference(backward_demodulation,[status(thm)],[f242,f173]) ).
fof(f910,plain,
( ~ sQ21_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f909,f282,f241]) ).
fof(f920,plain,
( ~ sQ40_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f489,f183,f302]) ).
fof(f948,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| e11 = op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f264,f638]) ).
fof(f949,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f69,f948]) ).
fof(f950,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f949,f12]) ).
fof(f951,plain,
( ~ sQ31_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f950]) ).
fof(f952,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| e20 = op2(h(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f902,f538]) ).
fof(f953,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| e20 = op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f902,f952]) ).
fof(f954,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f79,f953]) ).
fof(f955,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f954,f18]) ).
fof(f956,plain,
( ~ sQ1_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f955]) ).
fof(f969,plain,
( ~ sQ39_spl
| h(e14) = e22 ),
inference(backward_demodulation,[status(thm)],[f299,f166]) ).
fof(f982,plain,
( ~ sQ8_spl
| h(e14) = op2(e23,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f200,f454]) ).
fof(f983,plain,
( ~ sQ8_spl
| h(e14) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f200,f982]) ).
fof(f984,plain,
( ~ sQ8_spl
| h(e14) = e21 ),
inference(forward_demodulation,[status(thm)],[f96,f983]) ).
fof(f985,plain,
( ~ sQ39_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f969,f244,f298]) ).
fof(f993,plain,
( ~ sQ15_spl
| e20 = op2(h(e12),h(e12)) ),
inference(forward_demodulation,[status(thm)],[f223,f520]) ).
fof(f994,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| e20 = op2(e23,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f216,f993]) ).
fof(f995,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| e20 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f216,f994]) ).
fof(f996,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f96,f995]) ).
fof(f997,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f996,f18]) ).
fof(f998,plain,
( ~ sQ15_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f997]) ).
fof(f999,plain,
( ~ sQ13_spl
| h(e13) = op2(e23,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f216,f520]) ).
fof(f1000,plain,
( ~ sQ13_spl
| h(e13) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f216,f999]) ).
fof(f1001,plain,
( ~ sQ13_spl
| h(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f96,f1000]) ).
fof(f1011,plain,
( ~ sQ41_spl
| h(e11) = e23 ),
inference(backward_demodulation,[status(thm)],[f306,f167]) ).
fof(f1012,plain,
( ~ sQ41_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1011,f199,f305]) ).
fof(f1021,plain,
( ~ sQ8_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f984,f241,f199]) ).
fof(f1022,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f578,f177,f209,f241]) ).
fof(f1049,plain,
( ~ sQ27_spl
| e12 = op1(j(e20),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f261,f623]) ).
fof(f1050,plain,
( ~ sQ27_spl
| e12 = op1(e12,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f261,f1049]) ).
fof(f1051,plain,
( ~ sQ27_spl
| e12 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f261,f1050]) ).
fof(f1052,plain,
( ~ sQ27_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f65,f1051]) ).
fof(f1053,plain,
( ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1052,f15]) ).
fof(f1054,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f1053]) ).
fof(f1057,plain,
( ~ sQ31_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f878,f193,f273]) ).
fof(f1058,plain,
( ~ sQ13_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f1001,f225,f215]) ).
fof(f1066,plain,
( ~ sQ36_spl
| e11 = op1(j(e21),j(e21)) ),
inference(forward_demodulation,[status(thm)],[f290,f670]) ).
fof(f1099,plain,
( ~ sQ16_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f869,f279,f225]) ).
fof(f1105,plain,
( ~ sQ42_spl
| j(e24) = op1(j(e21),e12) ),
inference(backward_demodulation,[status(thm)],[f309,f685]) ).
fof(f1118,plain,
( ~ sQ47_spl
| ~ sQ42_spl
| j(e21) = op1(e13,j(e22)) ),
inference(forward_demodulation,[status(thm)],[f859,f714]) ).
fof(f1119,plain,
( ~ sQ47_spl
| ~ sQ42_spl
| j(e21) = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f859,f1118]) ).
fof(f1120,plain,
( ~ sQ47_spl
| ~ sQ42_spl
| j(e21) = e11 ),
inference(forward_demodulation,[status(thm)],[f71,f1119]) ).
fof(f1121,plain,
( ~ sQ47_spl
| ~ sQ42_spl
| sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1120,f275]) ).
fof(f1122,plain,
( ~ sQ47_spl
| ~ sQ42_spl
| sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1121]) ).
fof(f1177,plain,
( ~ sQ6_spl
| j(e21) = e11 ),
inference(forward_demodulation,[status(thm)],[f194,f170]) ).
fof(f1198,plain,
( ~ sQ43_spl
| j(e20) = op1(e13,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f312,f755]) ).
fof(f1199,plain,
( ~ sQ33_spl
| ~ sQ43_spl
| e13 = op1(e13,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f312,f767]) ).
fof(f1200,plain,
( ~ sQ33_spl
| ~ sQ43_spl
| e13 = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f312,f1199]) ).
fof(f1201,plain,
( ~ sQ33_spl
| ~ sQ43_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f71,f1200]) ).
fof(f1202,plain,
( ~ sQ33_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1201,f13]) ).
fof(f1203,plain,
( ~ sQ33_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1202]) ).
fof(f1204,plain,
( ~ sQ11_spl
| ~ sQ20_spl
| e21 = op2(e20,h(e14)) ),
inference(forward_demodulation,[status(thm)],[f239,f609]) ).
fof(f1205,plain,
( ~ sQ11_spl
| ~ sQ20_spl
| e21 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f239,f1204]) ).
fof(f1206,plain,
( ~ sQ11_spl
| ~ sQ20_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f1205]) ).
fof(f1207,plain,
( ~ sQ11_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1206,f18]) ).
fof(f1208,plain,
( ~ sQ11_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1207]) ).
fof(f1222,plain,
( ~ sQ10_spl
| j(e20) = e12 ),
inference(forward_demodulation,[status(thm)],[f207,f171]) ).
fof(f1223,plain,
( ~ sQ10_spl
| sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1222,f262]) ).
fof(f1224,plain,
( ~ sQ10_spl
| sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1223]) ).
fof(f1229,plain,
( ~ sQ45_spl
| j(e21) = op1(j(e24),e10) ),
inference(backward_demodulation,[status(thm)],[f319,f815]) ).
fof(f1234,plain,
( ~ sQ45_spl
| j(e21) = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f319,f1229]) ).
fof(f1235,plain,
( ~ sQ45_spl
| j(e21) = e10 ),
inference(forward_demodulation,[status(thm)],[f53,f1234]) ).
fof(f1236,plain,
( ~ sQ45_spl
| sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1235,f272]) ).
fof(f1237,plain,
( ~ sQ45_spl
| sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1236]) ).
fof(f1238,plain,
( ~ sQ28_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f902,f222,f263]) ).
fof(f1239,plain,
( ~ sQ1_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f891,f270,f177]) ).
fof(f1257,plain,
( ~ sQ48_spl
| h(e13) = e24 ),
inference(backward_demodulation,[status(thm)],[f328,f168]) ).
fof(f1258,plain,
( ~ sQ48_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f1257,f234,f327]) ).
fof(f1259,plain,
( ~ sQ28_spl
| ~ sQ33_spl
| e13 = op1(j(e21),e13) ),
inference(forward_demodulation,[status(thm)],[f280,f660]) ).
fof(f1260,plain,
( ~ sQ28_spl
| ~ sQ33_spl
| e13 = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f280,f1259]) ).
fof(f1261,plain,
( ~ sQ28_spl
| ~ sQ33_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f71,f1260]) ).
fof(f1262,plain,
( ~ sQ28_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1261,f13]) ).
fof(f1263,plain,
( ~ sQ28_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1262]) ).
fof(f1284,plain,
( ~ sQ3_spl
| e23 = op2(h(e10),h(e10)) ),
inference(forward_demodulation,[status(thm)],[f184,f347]) ).
fof(f1285,plain,
( ~ sQ3_spl
| e23 = op2(e23,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f184,f1284]) ).
fof(f1286,plain,
( ~ sQ3_spl
| e23 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f184,f1285]) ).
fof(f1287,plain,
( ~ sQ3_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f96,f1286]) ).
fof(f1288,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1287,f23]) ).
fof(f1289,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f1288]) ).
fof(f1305,plain,
( ~ sQ42_spl
| ~ sQ31_spl
| j(e24) = op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f274,f1105]) ).
fof(f1306,plain,
( ~ sQ42_spl
| ~ sQ31_spl
| j(e24) = e10 ),
inference(forward_demodulation,[status(thm)],[f60,f1305]) ).
fof(f1307,plain,
( ~ sQ42_spl
| ~ sQ31_spl
| sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1306,f320]) ).
fof(f1308,plain,
( ~ sQ42_spl
| ~ sQ31_spl
| sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1307]) ).
fof(f1310,plain,
( ~ sQ43_spl
| ~ sQ31_spl
| j(e20) = op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f274,f1198]) ).
fof(f1311,plain,
( ~ sQ43_spl
| ~ sQ31_spl
| j(e20) = e12 ),
inference(forward_demodulation,[status(thm)],[f69,f1310]) ).
fof(f1312,plain,
( ~ sQ43_spl
| ~ sQ31_spl
| sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1311,f262]) ).
fof(f1313,plain,
( ~ sQ43_spl
| ~ sQ31_spl
| sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1312]) ).
fof(f1332,plain,
( ~ sQ15_spl
| ~ sQ11_spl
| e20 = op2(e21,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f210,f993]) ).
fof(f1333,plain,
( ~ sQ15_spl
| ~ sQ11_spl
| e20 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f210,f1332]) ).
fof(f1334,plain,
( ~ sQ15_spl
| ~ sQ11_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f84,f1333]) ).
fof(f1335,plain,
( ~ sQ15_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1334,f19]) ).
fof(f1336,plain,
( ~ sQ15_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1335]) ).
fof(f1364,plain,
( ~ sQ15_spl
| e20 = op2(h(e11),h(e14)) ),
inference(forward_demodulation,[status(thm)],[f223,f495]) ).
fof(f1365,plain,
( ~ sQ15_spl
| ~ sQ9_spl
| e20 = op2(e24,h(e14)) ),
inference(forward_demodulation,[status(thm)],[f203,f1364]) ).
fof(f1366,plain,
( ~ sQ9_spl
| h(e14) = op2(e24,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f203,f454]) ).
fof(f1367,plain,
( ~ sQ9_spl
| h(e14) = op2(e24,e24) ),
inference(forward_demodulation,[status(thm)],[f203,f1366]) ).
fof(f1368,plain,
( ~ sQ15_spl
| ~ sQ9_spl
| e20 = op2(e24,e21) ),
inference(backward_demodulation,[status(thm)],[f1369,f1365]) ).
fof(f1369,plain,
( ~ sQ9_spl
| h(e14) = e21 ),
inference(forward_demodulation,[status(thm)],[f102,f1367]) ).
fof(f1370,plain,
( ~ sQ15_spl
| ~ sQ9_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f99,f1368]) ).
fof(f1371,plain,
( ~ sQ15_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1370,f20]) ).
fof(f1372,plain,
( ~ sQ15_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1371]) ).
fof(f1416,plain,
( ~ sQ9_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1369,f241,f202]) ).
fof(f1421,plain,
( ~ sQ29_spl
| e14 = op1(j(e20),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f267,f623]) ).
fof(f1422,plain,
( ~ sQ29_spl
| e14 = op1(e14,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f267,f1421]) ).
fof(f1423,plain,
( ~ sQ29_spl
| e14 = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f267,f1422]) ).
fof(f1424,plain,
( ~ sQ29_spl
| e14 = e12 ),
inference(forward_demodulation,[status(thm)],[f77,f1423]) ).
fof(f1425,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1424,f16]) ).
fof(f1426,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f1425]) ).
fof(f1430,plain,
( ~ sQ14_spl
| e24 = op2(h(e11),h(e13)) ),
inference(backward_demodulation,[status(thm)],[f219,f493]) ).
fof(f1441,plain,
( ~ sQ14_spl
| e24 = op2(h(e14),h(e14)) ),
inference(forward_demodulation,[status(thm)],[f219,f608]) ).
fof(f1489,plain,
( ~ sQ34_spl
| j(e22) = op1(j(e21),e14) ),
inference(backward_demodulation,[status(thm)],[f283,f670]) ).
fof(f1490,plain,
( ~ sQ34_spl
| j(e22) = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f283,f1489]) ).
fof(f1491,plain,
( ~ sQ34_spl
| j(e22) = e12 ),
inference(forward_demodulation,[status(thm)],[f77,f1490]) ).
fof(f1506,plain,
( ~ sQ14_spl
| ~ sQ21_spl
| e24 = op2(h(e14),e21) ),
inference(backward_demodulation,[status(thm)],[f242,f1441]) ).
fof(f1508,plain,
( ~ sQ14_spl
| ~ sQ21_spl
| e24 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f242,f1506]) ).
fof(f1509,plain,
( ~ sQ14_spl
| ~ sQ21_spl
| e24 = e22 ),
inference(forward_demodulation,[status(thm)],[f84,f1508]) ).
fof(f1510,plain,
( ~ sQ14_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1509,f26]) ).
fof(f1511,plain,
( ~ sQ14_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1510]) ).
fof(f1539,plain,
( ~ sQ33_spl
| j(e24) = op1(e13,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f280,f685]) ).
fof(f1541,plain,
( ~ sQ33_spl
| ~ sQ44_spl
| j(e24) = op1(e13,e14) ),
inference(backward_demodulation,[status(thm)],[f315,f1539]) ).
fof(f1548,plain,
( ~ sQ33_spl
| ~ sQ44_spl
| j(e24) = e10 ),
inference(forward_demodulation,[status(thm)],[f72,f1541]) ).
fof(f1549,plain,
( ~ sQ33_spl
| ~ sQ44_spl
| sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1548,f320]) ).
fof(f1550,plain,
( ~ sQ33_spl
| ~ sQ44_spl
| sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1549]) ).
fof(f1562,plain,
( ~ sQ34_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f1491,f292,f282]) ).
fof(f1576,plain,
( ~ sQ42_spl
| j(e21) = op1(e12,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f309,f766]) ).
fof(f1577,plain,
( ~ sQ42_spl
| j(e21) = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f309,f1576]) ).
fof(f1580,plain,
( ~ sQ42_spl
| j(e21) = e13 ),
inference(forward_demodulation,[status(thm)],[f65,f1577]) ).
fof(f1581,plain,
( ~ sQ5_spl
| j(e20) = e11 ),
inference(backward_demodulation,[status(thm)],[f191,f170]) ).
fof(f1585,plain,
( ~ sQ5_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1581,f257,f190]) ).
fof(f1594,plain,
( ~ sQ14_spl
| ~ sQ19_spl
| e24 = op2(h(e11),e24) ),
inference(forward_demodulation,[status(thm)],[f235,f1430]) ).
fof(f1600,plain,
( ~ sQ14_spl
| ~ sQ22_spl
| e24 = op2(e22,h(e14)) ),
inference(forward_demodulation,[status(thm)],[f245,f1441]) ).
fof(f1601,plain,
( ~ sQ14_spl
| ~ sQ22_spl
| e24 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f245,f1600]) ).
fof(f1602,plain,
( ~ sQ14_spl
| ~ sQ22_spl
| e24 = e21 ),
inference(forward_demodulation,[status(thm)],[f90,f1601]) ).
fof(f1603,plain,
( ~ sQ14_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1602,f24]) ).
fof(f1604,plain,
( ~ sQ14_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1603]) ).
fof(f1615,plain,
( ~ sQ42_spl
| j(e24) = op1(j(e22),e13) ),
inference(forward_demodulation,[status(thm)],[f1580,f712]) ).
fof(f1620,plain,
( ~ sQ42_spl
| ~ sQ36_spl
| j(e24) = op1(e11,e13) ),
inference(backward_demodulation,[status(thm)],[f290,f1615]) ).
fof(f1624,plain,
( ~ sQ42_spl
| ~ sQ36_spl
| j(e24) = e12 ),
inference(forward_demodulation,[status(thm)],[f61,f1620]) ).
fof(f1625,plain,
( ~ sQ42_spl
| ~ sQ36_spl
| sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1624,f326]) ).
fof(f1626,plain,
( ~ sQ42_spl
| ~ sQ36_spl
| sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1625]) ).
fof(f1627,plain,
( ~ sQ32_spl
| ~ sQ42_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1580,f277]) ).
fof(f1628,plain,
( ~ sQ32_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1627,f15]) ).
fof(f1629,plain,
( ~ sQ32_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1628]) ).
fof(f1631,plain,
( ~ sQ6_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f1177,f273,f193]) ).
fof(f1654,plain,
( ~ sQ11_spl
| j(e21) = e12 ),
inference(forward_demodulation,[status(thm)],[f210,f171]) ).
fof(f1655,plain,
( ~ sQ11_spl
| ~ sQ31_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f274,f1654]) ).
fof(f1656,plain,
( ~ sQ11_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1655,f12]) ).
fof(f1657,plain,
( ~ sQ11_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1656]) ).
fof(f1658,plain,
( ~ sQ36_spl
| ~ sQ31_spl
| e11 = op1(e11,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f274,f1066]) ).
fof(f1659,plain,
( ~ sQ36_spl
| ~ sQ31_spl
| e11 = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f274,f1658]) ).
fof(f1660,plain,
( ~ sQ36_spl
| ~ sQ31_spl
| e11 = e14 ),
inference(forward_demodulation,[status(thm)],[f59,f1659]) ).
fof(f1661,plain,
( ~ sQ36_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1660,f14]) ).
fof(f1662,plain,
( ~ sQ36_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1661]) ).
fof(f1681,plain,
( ~ sQ31_spl
| j(e23) = op1(j(e24),e11) ),
inference(forward_demodulation,[status(thm)],[f274,f801]) ).
fof(f1682,plain,
( ~ sQ31_spl
| ~ sQ47_spl
| j(e23) = op1(e12,e11) ),
inference(backward_demodulation,[status(thm)],[f325,f1681]) ).
fof(f1689,plain,
( ~ sQ31_spl
| ~ sQ47_spl
| j(e23) = e10 ),
inference(forward_demodulation,[status(thm)],[f64,f1682]) ).
fof(f1690,plain,
( ~ sQ31_spl
| ~ sQ47_spl
| sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1689,f304]) ).
fof(f1691,plain,
( ~ sQ31_spl
| ~ sQ47_spl
| sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1690]) ).
fof(f1693,plain,
( ~ sQ14_spl
| ~ sQ19_spl
| ~ sQ6_spl
| e24 = op2(e21,e24) ),
inference(forward_demodulation,[status(thm)],[f194,f1594]) ).
fof(f1694,plain,
( ~ sQ14_spl
| ~ sQ19_spl
| ~ sQ6_spl
| e24 = e20 ),
inference(forward_demodulation,[status(thm)],[f87,f1693]) ).
fof(f1695,plain,
( ~ sQ14_spl
| ~ sQ19_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1694,f21]) ).
fof(f1696,plain,
( ~ sQ14_spl
| ~ sQ19_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1695]) ).
fof(f1717,plain,
( ~ sQ38_spl
| e13 = op1(j(e24),j(e23)) ),
inference(forward_demodulation,[status(thm)],[f296,f809]) ).
fof(f1718,plain,
( ~ sQ38_spl
| ~ sQ44_spl
| e13 = op1(j(e24),e14) ),
inference(forward_demodulation,[status(thm)],[f315,f1717]) ).
fof(f1730,plain,
( ~ sQ38_spl
| ~ sQ44_spl
| ~ sQ49_spl
| e13 = op1(e14,e14) ),
inference(backward_demodulation,[status(thm)],[f331,f1718]) ).
fof(f1735,plain,
( ~ sQ38_spl
| ~ sQ44_spl
| ~ sQ49_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f77,f1730]) ).
fof(f1736,plain,
( ~ sQ38_spl
| ~ sQ44_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1735,f15]) ).
fof(f1737,plain,
( ~ sQ38_spl
| ~ sQ44_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1736]) ).
fof(f1738,plain,
$false,
inference(sat_refutation,[status(thm)],[f205,f221,f269,f285,f301,f317,f333,f351,f358,f361,f437,f438,f452,f507,f591,f629,f679,f735,f790,f825,f835,f838,f857,f898,f899,f910,f920,f951,f956,f985,f998,f1012,f1021,f1022,f1054,f1057,f1058,f1099,f1122,f1203,f1208,f1224,f1237,f1238,f1239,f1258,f1263,f1289,f1308,f1313,f1336,f1372,f1416,f1426,f1511,f1550,f1562,f1585,f1604,f1626,f1629,f1631,f1657,f1662,f1691,f1696,f1737]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG084+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 13:01:14 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.43 % Refutation found
% 0.15/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.45 % Elapsed time: 0.072047 seconds
% 0.15/0.45 % CPU time: 0.282107 seconds
% 0.15/0.45 % Total memory used: 113.429 MB
% 0.15/0.45 % Net memory used: 113.221 MB
%------------------------------------------------------------------------------