%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG078+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 11:48:02 AM UTC 2026
% Result : Theorem 0.13s 0.44s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 28
% Syntax : Number of formulae : 219 ( 49 unt; 23 def)
% Number of atoms : 805 ( 582 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 764 ( 178 ~; 290 |; 271 &)
% ( 23 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op1(e14,e14) = e10
& op1(e14,e13) = e12
& op1(e14,e12) = e11
& op1(e14,e11) = e13
& op1(e14,e10) = e14
& op1(e13,e14) = e11
& op1(e13,e13) = e14
& op1(e13,e12) = e10
& op1(e13,e11) = e12
& op1(e13,e10) = e13
& op1(e12,e14) = e13
& op1(e12,e13) = e11
& op1(e12,e12) = e14
& op1(e12,e11) = e10
& op1(e12,e10) = e12
& op1(e11,e14) = e12
& op1(e11,e13) = e10
& op1(e11,e12) = e13
& op1(e11,e11) = e14
& op1(e11,e10) = e11
& op1(e10,e14) = e14
& op1(e10,e13) = e13
& op1(e10,e12) = e12
& op1(e10,e11) = e11
& op1(e10,e10) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op2(e24,e24) = e20
& op2(e24,e23) = e22
& op2(e24,e22) = e21
& op2(e24,e21) = e23
& op2(e24,e20) = e24
& op2(e23,e24) = e22
& op2(e23,e23) = e21
& op2(e23,e22) = e20
& op2(e23,e21) = e24
& op2(e23,e20) = e23
& op2(e22,e24) = e21
& op2(e22,e23) = e24
& op2(e22,e22) = e23
& op2(e22,e21) = e20
& op2(e22,e20) = e22
& op2(e21,e24) = e23
& op2(e21,e23) = e20
& op2(e21,e22) = e24
& op2(e21,e21) = e22
& op2(e21,e20) = e21
& op2(e20,e24) = e24
& op2(e20,e23) = e23
& op2(e20,e22) = e22
& op2(e20,e21) = e21
& op2(e20,e20) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,conjecture,
( ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ ( ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f11,plain,
e10 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f14,plain,
e11 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f20,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f22,plain,
e21 != e22,
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(f65,plain,
op1(e12,e12) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f71,plain,
op1(e13,e13) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f75,plain,
op1(e14,e12) = e11,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f76,plain,
op1(e14,e13) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f77,plain,
op1(e14,e14) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f78,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f84,plain,
op2(e21,e21) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f90,plain,
op2(e22,e22) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f95,plain,
op2(e23,e22) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e21,
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(f109,plain,
( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f111,plain,
( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f126,plain,
h(op1(e12,e12)) = op2(h(e12),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(f136,plain,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f137,plain,
h(op1(e14,e13)) = op2(h(e14),h(e13)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f138,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f139,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f145,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f151,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f156,plain,
j(op2(e23,e22)) = op1(j(e23),j(e22)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f157,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f163,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f164,plain,
h(j(e20)) = e20,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f165,plain,
h(j(e21)) = e21,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f166,plain,
h(j(e22)) = e22,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f167,plain,
h(j(e23)) = e23,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f169,plain,
j(h(e10)) = e10,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f170,plain,
j(h(e11)) = e11,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f172,plain,
j(h(e13)) = e13,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(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(f176,plain,
( sQ0_spl
| h(e10) != e20 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,definition,
( sQ1_spl
<=> h(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ1_spl
| h(e10) = e21 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f179,plain,
( sQ1_spl
| h(e10) != e21 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(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(f190,definition,
( sQ5_spl
<=> h(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( ~ sQ5_spl
| h(e11) = e20 ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f206,definition,
( sQ10_spl
<=> h(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ10_spl
| h(e12) = e20 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f208,plain,
( sQ10_spl
| h(e12) != e20 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(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(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(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(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(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(f266,definition,
( sQ29_spl
<=> j(e20) = e14 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
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(f286,definition,
( sQ35_spl
<=> j(e22) = e10 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ35_spl
| j(e22) = e10 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,definition,
( sQ36_spl
<=> j(e22) = e11 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( ~ sQ36_spl
| j(e22) = e11 ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,definition,
( sQ37_spl
<=> j(e22) = e12 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ37_spl
| j(e22) = e12 ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,definition,
( sQ38_spl
<=> j(e22) = e13 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ38_spl
| j(e22) = e13 ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,definition,
( sQ39_spl
<=> j(e22) = e14 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ39_spl
| j(e22) = e14 ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f111,f286,f289,f292,f295,f298]) ).
fof(f302,definition,
( sQ40_spl
<=> j(e23) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ40_spl
| j(e23) = e10 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( sQ40_spl
| j(e23) != e10 ),
inference(component_clause,[status(thm)],[f302]) ).
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(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(f414,plain,
h(e14) = op2(h(e12),h(e12)),
inference(forward_demodulation,[status(thm)],[f65,f126]) ).
fof(f467,plain,
h(e14) = op2(h(e13),h(e13)),
inference(forward_demodulation,[status(thm)],[f71,f132]) ).
fof(f485,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f175,f184]) ).
fof(f486,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f485,f20]) ).
fof(f487,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f486]) ).
fof(f492,plain,
h(e11) = op2(h(e14),h(e12)),
inference(forward_demodulation,[status(thm)],[f75,f136]) ).
fof(f495,plain,
h(e12) = op2(h(e14),h(e13)),
inference(forward_demodulation,[status(thm)],[f76,f137]) ).
fof(f496,plain,
( ~ sQ20_spl
| h(e12) = op2(e20,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f239,f495]) ).
fof(f497,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| h(e12) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f223,f496]) ).
fof(f499,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| h(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f497]) ).
fof(f500,plain,
h(e10) = op2(h(e14),h(e14)),
inference(forward_demodulation,[status(thm)],[f77,f138]) ).
fof(f512,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[status(thm)],[f78,f139]) ).
fof(f520,plain,
( sQ10_spl
| ~ sQ20_spl
| ~ sQ15_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f499,f208]) ).
fof(f521,plain,
( sQ10_spl
| ~ sQ20_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f520]) ).
fof(f522,plain,
( sQ10_spl
| ~ sQ20_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f521]) ).
fof(f542,plain,
j(e22) = op1(j(e21),j(e21)),
inference(forward_demodulation,[status(thm)],[f84,f145]) ).
fof(f566,plain,
j(e23) = op1(j(e22),j(e22)),
inference(forward_demodulation,[status(thm)],[f90,f151]) ).
fof(f589,plain,
j(e20) = op1(j(e23),j(e22)),
inference(forward_demodulation,[status(thm)],[f95,f156]) ).
fof(f596,plain,
j(e21) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f96,f157]) ).
fof(f610,plain,
( ~ sQ25_spl
| h(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f255,f164]) ).
fof(f614,plain,
( sQ0_spl
| ~ sQ25_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f610,f176]) ).
fof(f615,plain,
( sQ0_spl
| ~ sQ25_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f614]) ).
fof(f616,plain,
( sQ0_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f615]) ).
fof(f651,plain,
j(e20) = op1(j(e24),j(e24)),
inference(forward_demodulation,[status(thm)],[f102,f163]) ).
fof(f652,plain,
( ~ sQ45_spl
| j(e20) = op1(e10,j(e24)) ),
inference(forward_demodulation,[status(thm)],[f319,f651]) ).
fof(f653,plain,
( ~ sQ45_spl
| j(e20) = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f319,f652]) ).
fof(f655,plain,
( ~ sQ45_spl
| j(e20) = e10 ),
inference(forward_demodulation,[status(thm)],[f53,f653]) ).
fof(f658,plain,
( ~ sQ30_spl
| h(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f271,f165]) ).
fof(f659,plain,
( ~ sQ35_spl
| h(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f287,f166]) ).
fof(f660,plain,
( ~ sQ35_spl
| ~ sQ30_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f658,f659]) ).
fof(f661,plain,
( ~ sQ35_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f660,f22]) ).
fof(f662,plain,
( ~ sQ35_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f661]) ).
fof(f669,plain,
( ~ sQ40_spl
| j(e21) = op1(e10,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f303,f596]) ).
fof(f670,plain,
( ~ sQ40_spl
| j(e21) = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f303,f669]) ).
fof(f671,plain,
( ~ sQ40_spl
| j(e21) = e10 ),
inference(forward_demodulation,[status(thm)],[f53,f670]) ).
fof(f679,plain,
( ~ sQ40_spl
| h(e10) = e23 ),
inference(forward_demodulation,[status(thm)],[f303,f167]) ).
fof(f690,plain,
( ~ sQ35_spl
| j(e23) = op1(e10,j(e22)) ),
inference(forward_demodulation,[status(thm)],[f287,f566]) ).
fof(f691,plain,
( ~ sQ35_spl
| j(e23) = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f287,f690]) ).
fof(f692,plain,
( ~ sQ35_spl
| j(e23) = e10 ),
inference(forward_demodulation,[status(thm)],[f53,f691]) ).
fof(f700,plain,
( ~ sQ40_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f671,f270,f302]) ).
fof(f701,plain,
( ~ sQ40_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f679,f183,f302]) ).
fof(f708,plain,
( ~ sQ17_spl
| j(e22) = e13 ),
inference(forward_demodulation,[status(thm)],[f229,f172]) ).
fof(f733,plain,
( ~ sQ10_spl
| h(e11) = op2(h(e14),e20) ),
inference(forward_demodulation,[status(thm)],[f207,f492]) ).
fof(f745,plain,
( ~ sQ1_spl
| j(e21) = e10 ),
inference(backward_demodulation,[status(thm)],[f178,f169]) ).
fof(f748,plain,
( ~ sQ1_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f745,f270,f177]) ).
fof(f758,plain,
( ~ sQ10_spl
| h(e14) = op2(e20,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f207,f414]) ).
fof(f759,plain,
( ~ sQ10_spl
| h(e14) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f207,f758]) ).
fof(f762,plain,
( ~ sQ10_spl
| h(e11) = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f765,f733]) ).
fof(f765,plain,
( ~ sQ10_spl
| h(e14) = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f759]) ).
fof(f767,plain,
( ~ sQ10_spl
| h(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f762]) ).
fof(f803,plain,
( ~ sQ27_spl
| h(e12) = e20 ),
inference(backward_demodulation,[status(thm)],[f261,f164]) ).
fof(f806,plain,
( ~ sQ27_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f803,f206,f260]) ).
fof(f815,plain,
( ~ sQ10_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f767,f190,f206]) ).
fof(f829,plain,
( ~ sQ47_spl
| j(e20) = op1(e12,j(e24)) ),
inference(forward_demodulation,[status(thm)],[f325,f651]) ).
fof(f830,plain,
( ~ sQ47_spl
| j(e20) = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f325,f829]) ).
fof(f902,plain,
( ~ sQ36_spl
| j(e23) = op1(j(e22),e11) ),
inference(backward_demodulation,[status(thm)],[f290,f566]) ).
fof(f903,plain,
( ~ sQ36_spl
| j(e23) = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f290,f902]) ).
fof(f904,plain,
( ~ sQ36_spl
| j(e23) = e14 ),
inference(forward_demodulation,[status(thm)],[f59,f903]) ).
fof(f910,plain,
( ~ sQ15_spl
| h(e14) = op2(h(e13),e20) ),
inference(backward_demodulation,[status(thm)],[f223,f467]) ).
fof(f913,plain,
( ~ sQ15_spl
| h(e14) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f223,f910]) ).
fof(f914,plain,
( ~ sQ15_spl
| h(e14) = e20 ),
inference(forward_demodulation,[status(thm)],[f78,f913]) ).
fof(f957,plain,
( ~ sQ26_spl
| e11 = op1(j(e20),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f258,f512]) ).
fof(f958,plain,
( ~ sQ26_spl
| e11 = op1(e11,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f258,f957]) ).
fof(f959,plain,
( ~ sQ26_spl
| e11 = e14 ),
inference(backward_demodulation,[status(thm)],[f960,f59]) ).
fof(f960,plain,
( ~ sQ26_spl
| e11 = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f258,f958]) ).
fof(f961,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f959,f14]) ).
fof(f962,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f961]) ).
fof(f978,plain,
( ~ sQ17_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f708,f295,f228]) ).
fof(f989,plain,
( ~ sQ36_spl
| h(e14) = e23 ),
inference(backward_demodulation,[status(thm)],[f904,f167]) ).
fof(f993,plain,
( ~ sQ36_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f989,f247,f289]) ).
fof(f1040,plain,
( ~ sQ30_spl
| j(e22) = op1(j(e21),e10) ),
inference(backward_demodulation,[status(thm)],[f271,f542]) ).
fof(f1045,plain,
( ~ sQ30_spl
| j(e22) = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f271,f1040]) ).
fof(f1046,plain,
( ~ sQ30_spl
| j(e22) = e10 ),
inference(forward_demodulation,[status(thm)],[f53,f1045]) ).
fof(f1057,plain,
( ~ sQ28_spl
| h(e13) = e20 ),
inference(backward_demodulation,[status(thm)],[f264,f164]) ).
fof(f1058,plain,
( ~ sQ28_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1057,f222,f263]) ).
fof(f1061,plain,
( ~ sQ15_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f914,f238,f222]) ).
fof(f1065,plain,
( ~ sQ47_spl
| j(e20) = e14 ),
inference(forward_demodulation,[status(thm)],[f65,f830]) ).
fof(f1067,plain,
( ~ sQ35_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f692,f302,f286]) ).
fof(f1070,plain,
( ~ sQ30_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f1046,f286,f270]) ).
fof(f1071,plain,
( ~ sQ45_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f655,f254,f318]) ).
fof(f1122,plain,
( ~ sQ37_spl
| h(e14) = op2(h(e12),e22) ),
inference(backward_demodulation,[status(thm)],[f1124,f414]) ).
fof(f1124,plain,
( ~ sQ37_spl
| h(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f293,f166]) ).
fof(f1125,plain,
( ~ sQ37_spl
| h(e14) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1124,f1122]) ).
fof(f1126,plain,
( ~ sQ37_spl
| h(e14) = e23 ),
inference(forward_demodulation,[status(thm)],[f90,f1125]) ).
fof(f1127,plain,
( ~ sQ37_spl
| sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1126,f249]) ).
fof(f1128,plain,
( ~ sQ37_spl
| sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1127]) ).
fof(f1129,plain,
( ~ sQ37_spl
| j(e23) = op1(e12,j(e22)) ),
inference(forward_demodulation,[status(thm)],[f293,f566]) ).
fof(f1130,plain,
( ~ sQ37_spl
| j(e23) = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f293,f1129]) ).
fof(f1134,plain,
( ~ sQ37_spl
| j(e21) = op1(j(e23),e14) ),
inference(backward_demodulation,[status(thm)],[f1136,f596]) ).
fof(f1136,plain,
( ~ sQ37_spl
| j(e23) = e14 ),
inference(forward_demodulation,[status(thm)],[f65,f1130]) ).
fof(f1137,plain,
( ~ sQ37_spl
| j(e21) = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f1136,f1134]) ).
fof(f1138,plain,
( ~ sQ37_spl
| j(e21) = e10 ),
inference(forward_demodulation,[status(thm)],[f77,f1137]) ).
fof(f1139,plain,
( ~ sQ37_spl
| sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1138,f272]) ).
fof(f1140,plain,
( ~ sQ37_spl
| sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1139]) ).
fof(f1310,plain,
( ~ sQ39_spl
| j(e23) = op1(j(e22),e14) ),
inference(backward_demodulation,[status(thm)],[f299,f566]) ).
fof(f1316,plain,
( ~ sQ39_spl
| j(e23) = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f299,f1310]) ).
fof(f1317,plain,
( ~ sQ39_spl
| j(e23) = e10 ),
inference(forward_demodulation,[status(thm)],[f77,f1316]) ).
fof(f1318,plain,
( ~ sQ39_spl
| sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1317,f304]) ).
fof(f1319,plain,
( ~ sQ39_spl
| sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1318]) ).
fof(f1357,plain,
( ~ sQ47_spl
| e14 = op1(j(e20),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f1065,f512]) ).
fof(f1358,plain,
( ~ sQ47_spl
| e14 = op1(e14,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f1065,f1357]) ).
fof(f1359,plain,
( ~ sQ47_spl
| e14 = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f1065,f1358]) ).
fof(f1360,plain,
( ~ sQ47_spl
| e14 = e10 ),
inference(forward_demodulation,[status(thm)],[f77,f1359]) ).
fof(f1361,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1360,f11]) ).
fof(f1362,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f1361]) ).
fof(f1437,plain,
( ~ sQ38_spl
| j(e23) = op1(e13,j(e22)) ),
inference(forward_demodulation,[status(thm)],[f296,f566]) ).
fof(f1438,plain,
( ~ sQ38_spl
| j(e23) = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f296,f1437]) ).
fof(f1439,plain,
( ~ sQ38_spl
| j(e23) = e14 ),
inference(forward_demodulation,[status(thm)],[f71,f1438]) ).
fof(f1459,plain,
( ~ sQ23_spl
| h(e10) = op2(h(e14),e23) ),
inference(backward_demodulation,[status(thm)],[f248,f500]) ).
fof(f1461,plain,
( ~ sQ23_spl
| h(e10) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f248,f1459]) ).
fof(f1462,plain,
( ~ sQ23_spl
| h(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f96,f1461]) ).
fof(f1463,plain,
( ~ sQ23_spl
| sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1462,f179]) ).
fof(f1464,plain,
( ~ sQ23_spl
| sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1463]) ).
fof(f1479,plain,
( ~ sQ5_spl
| j(e20) = e11 ),
inference(backward_demodulation,[status(thm)],[f191,f170]) ).
fof(f1480,plain,
( ~ sQ5_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1479,f257,f190]) ).
fof(f1487,plain,
( ~ sQ38_spl
| j(e20) = op1(j(e23),e13) ),
inference(forward_demodulation,[status(thm)],[f296,f589]) ).
fof(f1517,plain,
( ~ sQ38_spl
| j(e20) = op1(e14,e13) ),
inference(backward_demodulation,[status(thm)],[f1439,f1487]) ).
fof(f1520,plain,
( ~ sQ38_spl
| j(e20) = e12 ),
inference(forward_demodulation,[status(thm)],[f76,f1517]) ).
fof(f1521,plain,
( ~ sQ38_spl
| sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1520,f262]) ).
fof(f1522,plain,
( ~ sQ38_spl
| sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1521]) ).
fof(f1523,plain,
$false,
inference(sat_refutation,[status(thm)],[f269,f301,f487,f522,f616,f662,f700,f701,f748,f806,f815,f962,f978,f993,f1058,f1061,f1067,f1070,f1071,f1128,f1140,f1319,f1362,f1464,f1480,f1522]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG078+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.34 % Computer : n006.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Mon Sep 21 12:55:42 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.47 % Elapsed time: 0.122737 seconds
% 0.13/0.47 % CPU time: 0.451367 seconds
% 0.13/0.47 % Total memory used: 115.323 MB
% 0.13/0.47 % Net memory used: 115.010 MB
%------------------------------------------------------------------------------