%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG081+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 : n016.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 0.17s 0.50s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 50
% Syntax : Number of formulae : 354 ( 71 unt; 45 def)
% Number of atoms : 1117 ( 688 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 1092 ( 329 ~; 445 |; 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) = e11
& op1(e14,e13) = e12
& op1(e14,e12) = e10
& op1(e14,e11) = e13
& op1(e14,e10) = e14
& op1(e13,e14) = e12
& op1(e13,e13) = e11
& op1(e13,e12) = e14
& op1(e13,e11) = e10
& op1(e13,e10) = e13
& op1(e12,e14) = e13
& op1(e12,e13) = e10
& op1(e12,e12) = e11
& op1(e12,e11) = e14
& op1(e12,e10) = e12
& op1(e11,e14) = e10
& op1(e11,e13) = e14
& op1(e11,e12) = e13
& op1(e11,e11) = e12
& 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) = e20
& op2(e24,e23) = e22
& op2(e24,e22) = e21
& op2(e24,e21) = e23
& op2(e24,e20) = e24
& op2(e23,e24) = e22
& op2(e23,e23) = e21
& op2(e23,e22) = e20
& op2(e23,e21) = e24
& op2(e23,e20) = e23
& op2(e22,e24) = e21
& op2(e22,e23) = e24
& op2(e22,e22) = e23
& op2(e22,e21) = e20
& op2(e22,e20) = e22
& op2(e21,e24) = e23
& op2(e21,e23) = e20
& op2(e21,e22) = e24
& op2(e21,e21) = e22
& op2(e21,e20) = e21
& op2(e20,e24) = e24
& op2(e20,e23) = e23
& op2(e20,e22) = e22
& op2(e20,e21) = e21
& op2(e20,e20) = e20 ),
file('/export/starexec/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(f12,plain,
e11 != e12,
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(f20,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f22,plain,
e21 != e22,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f23,plain,
e21 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f27,plain,
e23 != 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) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f61,plain,
op1(e11,e13) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f63,plain,
op1(e12,e10) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f64,plain,
op1(e12,e11) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e11,
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) = e13,
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) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f78,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f81,plain,
op2(e20,e23) = e23,
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) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f90,plain,
op2(e22,e22) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f92,plain,
op2(e22,e24) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f98,plain,
op2(e24,e20) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f102,plain,
op2(e24,e24) = e20,
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(f105,plain,
( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = 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(f109,plain,
( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = 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(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(f124,plain,
h(op1(e12,e10)) = op2(h(e12),h(e10)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f126,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f127,plain,
h(op1(e12,e13)) = op2(h(e12),h(e13)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f128,plain,
h(op1(e12,e14)) = op2(h(e12),h(e14)),
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(f132,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
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(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(f157,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f159,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
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(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(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(f214,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(f217,plain,
( sQ13_spl
| h(e12) != e23 ),
inference(component_clause,[status(thm)],[f215]) ).
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(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(f249,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(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(f259,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(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(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(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(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(f302,definition,
( sQ40_spl
<=> j(e23) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ40_spl
| j(e23) = e10 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,definition,
( sQ41_spl
<=> j(e23) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( ~ sQ41_spl
| j(e23) = e11 ),
inference(component_clause,[status(thm)],[f305]) ).
fof(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(f318,definition,
( sQ45_spl
<=> j(e24) = e10 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ45_spl
| j(e24) = e10 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,definition,
( sQ46_spl
<=> j(e24) = e11 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ46_spl
| j(e24) = e11 ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,definition,
( sQ47_spl
<=> j(e24) = e12 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ47_spl
| j(e24) = e12 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,definition,
( sQ48_spl
<=> j(e24) = e13 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ48_spl
| j(e24) = e13 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(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(f334,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| e13 = e14 ),
inference(backward_demodulation,[status(thm)],[f328,f331]) ).
fof(f335,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f334,f17]) ).
fof(f336,plain,
( ~ sQ49_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f335]) ).
fof(f340,plain,
( ~ sQ44_spl
| ~ sQ43_spl
| e13 = e14 ),
inference(backward_demodulation,[status(thm)],[f312,f315]) ).
fof(f341,plain,
( ~ sQ44_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f340,f17]) ).
fof(f342,plain,
( ~ sQ44_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f341]) ).
fof(f346,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| e11 = e12 ),
inference(backward_demodulation,[status(thm)],[f306,f309]) ).
fof(f347,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f346,f12]) ).
fof(f348,plain,
( ~ sQ42_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f347]) ).
fof(f351,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| e13 = e14 ),
inference(backward_demodulation,[status(thm)],[f296,f299]) ).
fof(f352,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f351,f17]) ).
fof(f353,plain,
( ~ sQ39_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f352]) ).
fof(f358,plain,
h(e12) = op2(h(e11),h(e11)),
inference(forward_demodulation,[status(thm)],[f59,f120]) ).
fof(f366,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| e13 = e14 ),
inference(backward_demodulation,[status(thm)],[f264,f267]) ).
fof(f367,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f366,f17]) ).
fof(f368,plain,
( ~ sQ29_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f367]) ).
fof(f372,plain,
h(e14) = op2(h(e11),h(e13)),
inference(forward_demodulation,[status(thm)],[f61,f122]) ).
fof(f374,plain,
( ~ sQ24_spl
| ~ sQ23_spl
| e23 = e24 ),
inference(backward_demodulation,[status(thm)],[f248,f251]) ).
fof(f375,plain,
( ~ sQ24_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f374,f27]) ).
fof(f376,plain,
( ~ sQ24_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f375]) ).
fof(f377,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f242,f245]) ).
fof(f378,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f377,f22]) ).
fof(f379,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f378]) ).
fof(f381,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| e23 = e24 ),
inference(backward_demodulation,[status(thm)],[f232,f235]) ).
fof(f382,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f27]) ).
fof(f383,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f382]) ).
fof(f393,plain,
h(e12) = op2(h(e12),h(e10)),
inference(forward_demodulation,[status(thm)],[f63,f124]) ).
fof(f394,plain,
( ~ sQ12_spl
| e22 = op2(h(e12),h(e10)) ),
inference(forward_demodulation,[status(thm)],[f213,f393]) ).
fof(f395,plain,
( ~ sQ12_spl
| e22 = op2(e22,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f213,f394]) ).
fof(f396,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f210,f213]) ).
fof(f397,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f396,f22]) ).
fof(f398,plain,
( ~ sQ12_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f397]) ).
fof(f403,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f194,f197]) ).
fof(f404,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f403,f22]) ).
fof(f405,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f404]) ).
fof(f414,plain,
h(e11) = op2(h(e12),h(e12)),
inference(forward_demodulation,[status(thm)],[f65,f126]) ).
fof(f424,plain,
h(e10) = op2(h(e12),h(e13)),
inference(forward_demodulation,[status(thm)],[f66,f127]) ).
fof(f435,plain,
h(e13) = op2(h(e12),h(e14)),
inference(forward_demodulation,[status(thm)],[f67,f128]) ).
fof(f436,plain,
( ~ sQ10_spl
| h(e13) = op2(e20,h(e14)) ),
inference(forward_demodulation,[status(thm)],[f207,f435]) ).
fof(f437,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| h(e13) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f239,f436]) ).
fof(f440,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| h(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f437]) ).
fof(f446,plain,
( ~ sQ3_spl
| e23 = op2(h(e12),h(e13)) ),
inference(forward_demodulation,[status(thm)],[f184,f424]) ).
fof(f447,plain,
( ~ sQ3_spl
| ~ sQ10_spl
| e23 = op2(e20,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f207,f446]) ).
fof(f448,plain,
( ~ sQ3_spl
| ~ sQ10_spl
| ~ sQ20_spl
| e23 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f440,f447]) ).
fof(f449,plain,
( ~ sQ3_spl
| ~ sQ10_spl
| ~ sQ20_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f448]) ).
fof(f450,plain,
( ~ sQ3_spl
| ~ sQ10_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f449,f20]) ).
fof(f451,plain,
( ~ sQ3_spl
| ~ sQ10_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f450]) ).
fof(f460,plain,
h(e14) = op2(h(e13),h(e12)),
inference(forward_demodulation,[status(thm)],[f70,f131]) ).
fof(f464,plain,
h(e11) = op2(h(e13),h(e13)),
inference(forward_demodulation,[status(thm)],[f71,f132]) ).
fof(f470,plain,
h(e12) = op2(h(e13),h(e14)),
inference(forward_demodulation,[status(thm)],[f72,f133]) ).
fof(f471,plain,
( ~ sQ15_spl
| h(e12) = op2(e20,h(e14)) ),
inference(forward_demodulation,[status(thm)],[f223,f470]) ).
fof(f472,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| h(e12) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f239,f471]) ).
fof(f473,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| h(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f472]) ).
fof(f499,plain,
( sQ10_spl
| ~ sQ15_spl
| ~ sQ20_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f473,f208]) ).
fof(f500,plain,
( sQ10_spl
| ~ sQ15_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ10_spl
| ~ sQ15_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f500]) ).
fof(f507,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[status(thm)],[f78,f139]) ).
fof(f532,plain,
j(e22) = op1(j(e21),j(e21)),
inference(forward_demodulation,[status(thm)],[f84,f145]) ).
fof(f572,plain,
( ~ sQ25_spl
| h(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f255,f164]) ).
fof(f573,plain,
( ~ sQ30_spl
| h(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f271,f165]) ).
fof(f574,plain,
( ~ sQ30_spl
| ~ sQ0_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f175,f573]) ).
fof(f575,plain,
( ~ sQ30_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f574,f18]) ).
fof(f576,plain,
( ~ sQ30_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f575]) ).
fof(f581,plain,
( ~ sQ30_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f573,f177,f270]) ).
fof(f582,plain,
( ~ sQ25_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f572,f174,f254]) ).
fof(f616,plain,
j(e21) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f96,f157]) ).
fof(f624,plain,
j(e24) = op1(j(e24),j(e20)),
inference(forward_demodulation,[status(thm)],[f98,f159]) ).
fof(f643,plain,
j(e20) = op1(j(e24),j(e24)),
inference(forward_demodulation,[status(thm)],[f102,f163]) ).
fof(f690,plain,
( ~ sQ40_spl
| j(e21) = op1(e10,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f303,f616]) ).
fof(f691,plain,
( ~ sQ40_spl
| j(e21) = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f303,f690]) ).
fof(f692,plain,
( ~ sQ40_spl
| j(e21) = e10 ),
inference(forward_demodulation,[status(thm)],[f53,f691]) ).
fof(f696,plain,
( ~ sQ45_spl
| h(e10) = e24 ),
inference(forward_demodulation,[status(thm)],[f319,f168]) ).
fof(f700,plain,
( ~ sQ45_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f696,f186,f318]) ).
fof(f709,plain,
( ~ sQ40_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f692,f270,f302]) ).
fof(f711,plain,
( ~ sQ5_spl
| j(e20) = e11 ),
inference(forward_demodulation,[status(thm)],[f191,f170]) ).
fof(f726,plain,
( sQ26_spl
| ~ sQ5_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f711,f259]) ).
fof(f727,plain,
( sQ26_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f726]) ).
fof(f728,plain,
( sQ26_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f727]) ).
fof(f733,plain,
( ~ sQ2_spl
| j(e22) = e10 ),
inference(backward_demodulation,[status(thm)],[f181,f169]) ).
fof(f736,plain,
( ~ sQ2_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f733,f286,f180]) ).
fof(f761,plain,
( ~ sQ17_spl
| j(e22) = e13 ),
inference(backward_demodulation,[status(thm)],[f229,f172]) ).
fof(f764,plain,
( ~ sQ17_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f761,f295,f228]) ).
fof(f772,plain,
( ~ sQ11_spl
| j(e21) = e12 ),
inference(backward_demodulation,[status(thm)],[f210,f171]) ).
fof(f774,plain,
( ~ sQ11_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f772,f276,f209]) ).
fof(f777,plain,
( ~ sQ42_spl
| j(e21) = op1(e12,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f309,f616]) ).
fof(f778,plain,
( ~ sQ42_spl
| j(e21) = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f309,f777]) ).
fof(f785,plain,
( ~ sQ42_spl
| h(e11) = e21 ),
inference(backward_demodulation,[status(thm)],[f786,f165]) ).
fof(f786,plain,
( ~ sQ42_spl
| j(e21) = e11 ),
inference(forward_demodulation,[status(thm)],[f65,f778]) ).
fof(f791,plain,
( ~ sQ42_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f785,f193,f308]) ).
fof(f809,plain,
( ~ sQ27_spl
| j(e20) = op1(j(e20),e12) ),
inference(backward_demodulation,[status(thm)],[f261,f507]) ).
fof(f812,plain,
( ~ sQ27_spl
| e12 = op1(j(e20),e12) ),
inference(forward_demodulation,[status(thm)],[f261,f809]) ).
fof(f813,plain,
( ~ sQ27_spl
| e12 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f261,f812]) ).
fof(f814,plain,
( ~ sQ27_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f65,f813]) ).
fof(f815,plain,
( ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f814,f12]) ).
fof(f816,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f815]) ).
fof(f843,plain,
( ~ sQ47_spl
| j(e20) = op1(e12,j(e24)) ),
inference(forward_demodulation,[status(thm)],[f325,f643]) ).
fof(f844,plain,
( ~ sQ47_spl
| j(e20) = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f325,f843]) ).
fof(f845,plain,
( ~ sQ47_spl
| j(e20) = e11 ),
inference(forward_demodulation,[status(thm)],[f65,f844]) ).
fof(f846,plain,
( ~ sQ47_spl
| e12 = op1(j(e24),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f325,f624]) ).
fof(f847,plain,
( ~ sQ47_spl
| e12 = op1(e12,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f325,f846]) ).
fof(f848,plain,
( ~ sQ47_spl
| e12 = e14 ),
inference(backward_demodulation,[status(thm)],[f849,f64]) ).
fof(f849,plain,
( ~ sQ47_spl
| e12 = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f845,f847]) ).
fof(f850,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f848,f16]) ).
fof(f851,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f850]) ).
fof(f865,plain,
( ~ sQ22_spl
| j(e22) = e14 ),
inference(forward_demodulation,[status(thm)],[f245,f173]) ).
fof(f866,plain,
( ~ sQ22_spl
| ~ sQ35_spl
| e10 = e14 ),
inference(forward_demodulation,[status(thm)],[f287,f865]) ).
fof(f867,plain,
( ~ sQ22_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f866,f11]) ).
fof(f868,plain,
( ~ sQ22_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f867]) ).
fof(f877,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f440,f222,f238,f206]) ).
fof(f910,plain,
( ~ sQ7_spl
| h(e12) = op2(e22,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f197,f358]) ).
fof(f911,plain,
( ~ sQ7_spl
| h(e12) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f197,f910]) ).
fof(f912,plain,
( ~ sQ7_spl
| h(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f90,f911]) ).
fof(f913,plain,
( ~ sQ7_spl
| sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f912,f217]) ).
fof(f914,plain,
( ~ sQ7_spl
| sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f913]) ).
fof(f918,plain,
( ~ sQ32_spl
| j(e22) = op1(e12,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f277,f532]) ).
fof(f919,plain,
( ~ sQ32_spl
| j(e22) = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f277,f918]) ).
fof(f920,plain,
( ~ sQ32_spl
| j(e22) = e11 ),
inference(forward_demodulation,[status(thm)],[f65,f919]) ).
fof(f938,plain,
( ~ sQ41_spl
| j(e21) = op1(e11,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f306,f616]) ).
fof(f939,plain,
( ~ sQ41_spl
| j(e21) = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f306,f938]) ).
fof(f940,plain,
( ~ sQ41_spl
| h(e12) = e21 ),
inference(backward_demodulation,[status(thm)],[f943,f165]) ).
fof(f943,plain,
( ~ sQ41_spl
| j(e21) = e12 ),
inference(forward_demodulation,[status(thm)],[f59,f939]) ).
fof(f944,plain,
( ~ sQ41_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f940,f209,f305]) ).
fof(f955,plain,
( ~ sQ26_spl
| e11 = op1(j(e20),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f258,f507]) ).
fof(f956,plain,
( ~ sQ26_spl
| e11 = op1(e11,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f258,f955]) ).
fof(f957,plain,
( ~ sQ26_spl
| e11 = e12 ),
inference(backward_demodulation,[status(thm)],[f958,f59]) ).
fof(f958,plain,
( ~ sQ26_spl
| e11 = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f258,f956]) ).
fof(f959,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f957,f12]) ).
fof(f960,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f959]) ).
fof(f963,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| e22 = op2(e22,e24) ),
inference(forward_demodulation,[status(thm)],[f187,f395]) ).
fof(f964,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f92,f963]) ).
fof(f965,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f964,f22]) ).
fof(f966,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f965]) ).
fof(f983,plain,
( ~ sQ15_spl
| j(e20) = e13 ),
inference(backward_demodulation,[status(thm)],[f223,f172]) ).
fof(f986,plain,
( ~ sQ15_spl
| h(e14) = op2(e20,h(e12)) ),
inference(backward_demodulation,[status(thm)],[f223,f460]) ).
fof(f990,plain,
( ~ sQ46_spl
| j(e20) = op1(e11,j(e24)) ),
inference(forward_demodulation,[status(thm)],[f322,f643]) ).
fof(f991,plain,
( ~ sQ46_spl
| j(e20) = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f322,f990]) ).
fof(f1020,plain,
( ~ sQ43_spl
| h(e13) = e23 ),
inference(backward_demodulation,[status(thm)],[f312,f167]) ).
fof(f1021,plain,
( ~ sQ43_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1020,f231,f311]) ).
fof(f1022,plain,
( ~ sQ18_spl
| ~ sQ15_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f223,f232]) ).
fof(f1023,plain,
( ~ sQ18_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1022,f20]) ).
fof(f1024,plain,
( ~ sQ18_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1023]) ).
fof(f1042,plain,
( ~ sQ28_spl
| h(e13) = e20 ),
inference(backward_demodulation,[status(thm)],[f264,f164]) ).
fof(f1043,plain,
( ~ sQ28_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1042,f222,f263]) ).
fof(f1045,plain,
( ~ sQ32_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f920,f289,f276]) ).
fof(f1048,plain,
( ~ sQ6_spl
| h(e12) = op2(e21,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f194,f358]) ).
fof(f1049,plain,
( ~ sQ6_spl
| h(e12) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f194,f1048]) ).
fof(f1050,plain,
( ~ sQ6_spl
| h(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f84,f1049]) ).
fof(f1051,plain,
( ~ sQ6_spl
| sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1050,f214]) ).
fof(f1052,plain,
( ~ sQ6_spl
| sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1051]) ).
fof(f1053,plain,
( ~ sQ6_spl
| h(e14) = op2(e21,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f194,f372]) ).
fof(f1147,plain,
( ~ sQ13_spl
| j(e23) = e12 ),
inference(backward_demodulation,[status(thm)],[f216,f171]) ).
fof(f1148,plain,
( ~ sQ13_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1147,f308,f215]) ).
fof(f1170,plain,
( ~ sQ15_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f983,f263,f222]) ).
fof(f1173,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| h(e14) = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f216,f986]) ).
fof(f1174,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| h(e14) = e23 ),
inference(forward_demodulation,[status(thm)],[f81,f1173]) ).
fof(f1175,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1174,f249]) ).
fof(f1176,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1175]) ).
fof(f1199,plain,
( ~ sQ43_spl
| h(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f312,f167]) ).
fof(f1249,plain,
( ~ sQ36_spl
| h(e11) = e22 ),
inference(backward_demodulation,[status(thm)],[f290,f166]) ).
fof(f1253,plain,
( ~ sQ36_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1249,f196,f289]) ).
fof(f1260,plain,
( ~ sQ6_spl
| ~ sQ43_spl
| h(e14) = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1199,f1053]) ).
fof(f1261,plain,
( ~ sQ6_spl
| ~ sQ43_spl
| h(e14) = e20 ),
inference(forward_demodulation,[status(thm)],[f86,f1260]) ).
fof(f1262,plain,
( ~ sQ6_spl
| ~ sQ43_spl
| sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1261,f240]) ).
fof(f1263,plain,
( ~ sQ6_spl
| ~ sQ43_spl
| sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1262]) ).
fof(f1328,plain,
( ~ sQ17_spl
| h(e11) = op2(h(e13),e22) ),
inference(backward_demodulation,[status(thm)],[f229,f464]) ).
fof(f1332,plain,
( ~ sQ17_spl
| h(e11) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f229,f1328]) ).
fof(f1333,plain,
( ~ sQ17_spl
| h(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f90,f1332]) ).
fof(f1360,plain,
( ~ sQ12_spl
| h(e11) = op2(h(e12),e22) ),
inference(backward_demodulation,[status(thm)],[f213,f414]) ).
fof(f1364,plain,
( ~ sQ12_spl
| h(e11) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f213,f1360]) ).
fof(f1365,plain,
( ~ sQ12_spl
| h(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f90,f1364]) ).
fof(f1382,plain,
( ~ sQ40_spl
| h(e10) = e23 ),
inference(forward_demodulation,[status(thm)],[f303,f167]) ).
fof(f1383,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f178,f1382]) ).
fof(f1384,plain,
( ~ sQ40_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1383,f23]) ).
fof(f1385,plain,
( ~ sQ40_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1384]) ).
fof(f1387,plain,
( ~ sQ8_spl
| j(e23) = e11 ),
inference(backward_demodulation,[status(thm)],[f200,f170]) ).
fof(f1388,plain,
( ~ sQ8_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f1387,f305,f199]) ).
fof(f1389,plain,
( ~ sQ12_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1365,f199,f212]) ).
fof(f1390,plain,
( ~ sQ46_spl
| j(e20) = e12 ),
inference(forward_demodulation,[status(thm)],[f59,f991]) ).
fof(f1391,plain,
( ~ sQ46_spl
| sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1390,f262]) ).
fof(f1392,plain,
( ~ sQ46_spl
| sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1391]) ).
fof(f1405,plain,
( ~ sQ17_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1333,f199,f228]) ).
fof(f1457,plain,
( ~ sQ22_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f865,f298,f244]) ).
fof(f1473,plain,
( ~ sQ9_spl
| h(e12) = op2(e24,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f203,f358]) ).
fof(f1474,plain,
( ~ sQ9_spl
| h(e12) = op2(e24,e24) ),
inference(forward_demodulation,[status(thm)],[f203,f1473]) ).
fof(f1475,plain,
( ~ sQ9_spl
| j(e20) = e12 ),
inference(backward_demodulation,[status(thm)],[f1484,f171]) ).
fof(f1484,plain,
( ~ sQ9_spl
| h(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f102,f1474]) ).
fof(f1485,plain,
( ~ sQ9_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f1475,f260,f202]) ).
fof(f1487,plain,
$false,
inference(sat_refutation,[status(thm)],[f189,f205,f237,f269,f333,f336,f342,f348,f353,f368,f376,f379,f383,f398,f405,f451,f501,f576,f581,f582,f700,f709,f728,f736,f764,f774,f791,f816,f851,f868,f877,f914,f944,f960,f966,f1021,f1024,f1043,f1045,f1052,f1148,f1170,f1176,f1253,f1263,f1385,f1388,f1389,f1392,f1405,f1457,f1485]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG081+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n016.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 13:00:22 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.50 % Refutation found
% 0.17/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.57/0.54 % Elapsed time: 0.105050 seconds
% 0.57/0.54 % CPU time: 0.449425 seconds
% 0.57/0.54 % Total memory used: 114.571 MB
% 0.57/0.54 % Net memory used: 114.341 MB
%------------------------------------------------------------------------------