%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG080+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 : n007.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 0.14s 0.47s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 206 ( 63 unt; 16 def)
% Number of atoms : 780 ( 577 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 755 ( 181 ~; 285 |; 271 &)
% ( 16 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 17 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) = e11
& op1(e14,e12) = e10
& op1(e14,e11) = e13
& op1(e14,e10) = e14
& op1(e13,e14) = e10
& op1(e13,e13) = e14
& op1(e13,e12) = e11
& op1(e13,e11) = e12
& op1(e13,e10) = e13
& op1(e12,e14) = e11
& op1(e12,e13) = e10
& op1(e12,e12) = e13
& op1(e12,e11) = e14
& op1(e12,e10) = e12
& op1(e11,e14) = e13
& op1(e11,e13) = e12
& op1(e11,e12) = e14
& op1(e11,e11) = e10
& 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(f8,plain,
e10 != e11,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f22,plain,
e21 != e22,
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(f27,plain,
e23 != e24,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f58,plain,
op1(e11,e10) = e11,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f59,plain,
op1(e11,e11) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f60,plain,
op1(e11,e12) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f61,plain,
op1(e11,e13) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f66,plain,
op1(e12,e13) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f68,plain,
op1(e13,e10) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f73,plain,
op1(e14,e10) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f75,plain,
op1(e14,e12) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f77,plain,
op1(e14,e14) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f78,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f83,plain,
op2(e21,e20) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f84,plain,
op2(e21,e21) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f85,plain,
op2(e21,e22) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f87,plain,
op2(e21,e24) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f90,plain,
op2(e22,e22) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f94,plain,
op2(e23,e21) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f99,plain,
op2(e24,e21) = e23,
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(f105,plain,
( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
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(f114,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f119,plain,
h(op1(e11,e10)) = op2(h(e11),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(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(f129,plain,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f139,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f144,plain,
j(op2(e21,e20)) = op1(j(e21),j(e20)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f145,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f146,plain,
j(op2(e21,e22)) = op1(j(e21),j(e22)),
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(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(f160,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f165,plain,
h(j(e21)) = e21,
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(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(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(f195,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(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(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(f270,definition,
( sQ30_spl
<=> j(e21) = e10 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ30_spl
| j(e21) = e10 ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,definition,
( sQ31_spl
<=> j(e21) = e11 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ31_spl
| j(e21) = e11 ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
( sQ32_spl
<=> j(e21) = e12 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ32_spl
| j(e21) = e12 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,definition,
( sQ33_spl
<=> j(e21) = e13 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ33_spl
| j(e21) = e13 ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
( sQ34_spl
<=> j(e21) = e14 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ34_spl
| j(e21) = e14 ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f110,f270,f273,f276,f279,f282]) ).
fof(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(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(f334,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[status(thm)],[f53,f114]) ).
fof(f339,plain,
h(e11) = op2(h(e11),h(e10)),
inference(forward_demodulation,[status(thm)],[f58,f119]) ).
fof(f340,plain,
h(e10) = op2(h(e11),h(e11)),
inference(forward_demodulation,[status(thm)],[f59,f120]) ).
fof(f346,plain,
h(e13) = op2(h(e12),h(e12)),
inference(forward_demodulation,[status(thm)],[f65,f126]) ).
fof(f347,plain,
h(e10) = op2(h(e12),h(e13)),
inference(forward_demodulation,[status(thm)],[f66,f127]) ).
fof(f349,plain,
h(e13) = op2(h(e13),h(e10)),
inference(forward_demodulation,[status(thm)],[f68,f129]) ).
fof(f359,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[status(thm)],[f78,f139]) ).
fof(f364,plain,
j(e21) = op1(j(e21),j(e20)),
inference(forward_demodulation,[status(thm)],[f83,f144]) ).
fof(f365,plain,
j(e22) = op1(j(e21),j(e21)),
inference(forward_demodulation,[status(thm)],[f84,f145]) ).
fof(f366,plain,
j(e24) = op1(j(e21),j(e22)),
inference(forward_demodulation,[status(thm)],[f85,f146]) ).
fof(f371,plain,
j(e23) = op1(j(e22),j(e22)),
inference(forward_demodulation,[status(thm)],[f90,f151]) ).
fof(f375,plain,
j(e24) = op1(j(e23),j(e21)),
inference(forward_demodulation,[status(thm)],[f94,f155]) ).
fof(f377,plain,
j(e21) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f96,f157]) ).
fof(f380,plain,
j(e23) = op1(j(e24),j(e21)),
inference(forward_demodulation,[status(thm)],[f99,f160]) ).
fof(f428,plain,
( ~ sQ34_spl
| j(e21) = op1(e14,j(e20)) ),
inference(backward_demodulation,[status(thm)],[f283,f364]) ).
fof(f486,plain,
( ~ sQ9_spl
| j(e24) = e11 ),
inference(backward_demodulation,[status(thm)],[f203,f170]) ).
fof(f487,plain,
( ~ sQ9_spl
| h(e10) = op2(h(e11),e24) ),
inference(backward_demodulation,[status(thm)],[f203,f340]) ).
fof(f576,plain,
( ~ sQ30_spl
| h(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f271,f165]) ).
fof(f672,plain,
( ~ sQ5_spl
| j(e20) = e11 ),
inference(forward_demodulation,[status(thm)],[f191,f170]) ).
fof(f690,plain,
( ~ sQ0_spl
| j(e20) = e10 ),
inference(forward_demodulation,[status(thm)],[f175,f169]) ).
fof(f780,plain,
( ~ sQ1_spl
| e21 = op2(h(e10),h(e10)) ),
inference(forward_demodulation,[status(thm)],[f178,f334]) ).
fof(f781,plain,
( ~ sQ1_spl
| e21 = op2(e21,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f178,f780]) ).
fof(f782,plain,
( ~ sQ1_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f178,f781]) ).
fof(f783,plain,
( ~ sQ1_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f84,f782]) ).
fof(f784,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f783,f22]) ).
fof(f785,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f784]) ).
fof(f786,plain,
( ~ sQ36_spl
| j(e23) = op1(e11,j(e22)) ),
inference(forward_demodulation,[status(thm)],[f290,f371]) ).
fof(f787,plain,
( ~ sQ36_spl
| j(e23) = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f290,f786]) ).
fof(f791,plain,
( ~ sQ36_spl
| j(e23) = e10 ),
inference(forward_demodulation,[status(thm)],[f59,f787]) ).
fof(f799,plain,
( sQ40_spl
| ~ sQ36_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f791,f304]) ).
fof(f800,plain,
( sQ40_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f799]) ).
fof(f801,plain,
( sQ40_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f800]) ).
fof(f827,plain,
( ~ sQ5_spl
| e11 = op1(j(e20),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f672,f359]) ).
fof(f828,plain,
( ~ sQ5_spl
| e11 = op1(e11,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f672,f827]) ).
fof(f829,plain,
( ~ sQ5_spl
| e11 = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f672,f828]) ).
fof(f830,plain,
( ~ sQ5_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f59,f829]) ).
fof(f831,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f830,f8]) ).
fof(f832,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f831]) ).
fof(f925,plain,
( ~ sQ40_spl
| j(e21) = op1(e10,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f303,f377]) ).
fof(f926,plain,
( ~ sQ40_spl
| j(e21) = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f303,f925]) ).
fof(f933,plain,
( ~ sQ40_spl
| j(e21) = e10 ),
inference(forward_demodulation,[status(thm)],[f53,f926]) ).
fof(f941,plain,
( ~ sQ30_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f576,f177,f270]) ).
fof(f1143,plain,
( ~ sQ8_spl
| h(e10) = op2(e23,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f200,f340]) ).
fof(f1144,plain,
( ~ sQ8_spl
| h(e10) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f200,f1143]) ).
fof(f1154,plain,
( ~ sQ8_spl
| h(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f96,f1144]) ).
fof(f1155,plain,
( ~ sQ8_spl
| e23 = op2(h(e11),h(e10)) ),
inference(forward_demodulation,[status(thm)],[f200,f339]) ).
fof(f1156,plain,
( ~ sQ8_spl
| e23 = op2(e23,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f200,f1155]) ).
fof(f1157,plain,
( ~ sQ8_spl
| e23 = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1154,f1156]) ).
fof(f1158,plain,
( ~ sQ8_spl
| e23 = e24 ),
inference(forward_demodulation,[status(thm)],[f94,f1157]) ).
fof(f1159,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1158,f27]) ).
fof(f1160,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f1159]) ).
fof(f1211,plain,
( ~ sQ32_spl
| j(e23) = op1(j(e24),e12) ),
inference(forward_demodulation,[status(thm)],[f277,f380]) ).
fof(f1213,plain,
( ~ sQ32_spl
| j(e24) = op1(j(e23),e12) ),
inference(forward_demodulation,[status(thm)],[f277,f375]) ).
fof(f1275,plain,
( ~ sQ9_spl
| h(e10) = op2(e24,e24) ),
inference(backward_demodulation,[status(thm)],[f203,f487]) ).
fof(f1308,plain,
( ~ sQ40_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f933,f270,f302]) ).
fof(f1405,plain,
( ~ sQ6_spl
| h(e10) = op2(e21,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f194,f340]) ).
fof(f1406,plain,
( ~ sQ6_spl
| h(e10) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f194,f1405]) ).
fof(f1413,plain,
( ~ sQ6_spl
| h(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f84,f1406]) ).
fof(f1414,plain,
( ~ sQ6_spl
| e21 = op2(h(e11),h(e10)) ),
inference(forward_demodulation,[status(thm)],[f194,f339]) ).
fof(f1415,plain,
( ~ sQ6_spl
| e21 = op2(e21,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f194,f1414]) ).
fof(f1416,plain,
( ~ sQ6_spl
| e21 = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1413,f1415]) ).
fof(f1417,plain,
( ~ sQ6_spl
| e21 = e24 ),
inference(forward_demodulation,[status(thm)],[f85,f1416]) ).
fof(f1418,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1417,f24]) ).
fof(f1419,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f1418]) ).
fof(f1435,plain,
( ~ sQ0_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f690,f254,f174]) ).
fof(f1491,plain,
( ~ sQ31_spl
| h(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f274,f165]) ).
fof(f1532,plain,
( sQ6_spl
| ~ sQ31_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1491,f195]) ).
fof(f1533,plain,
( sQ6_spl
| ~ sQ31_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1532]) ).
fof(f1534,plain,
( sQ6_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1533]) ).
fof(f1648,plain,
( ~ sQ7_spl
| j(e22) = e11 ),
inference(forward_demodulation,[status(thm)],[f197,f170]) ).
fof(f1649,plain,
( ~ sQ7_spl
| sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1648,f291]) ).
fof(f1650,plain,
( ~ sQ7_spl
| sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1649]) ).
fof(f1662,plain,
( ~ sQ33_spl
| j(e23) = op1(j(e24),e13) ),
inference(backward_demodulation,[status(thm)],[f280,f380]) ).
fof(f1664,plain,
( ~ sQ33_spl
| j(e24) = op1(j(e23),e13) ),
inference(backward_demodulation,[status(thm)],[f280,f375]) ).
fof(f1692,plain,
( ~ sQ13_spl
| h(e13) = op2(e23,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f216,f346]) ).
fof(f1693,plain,
( ~ sQ13_spl
| h(e13) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f216,f1692]) ).
fof(f1694,plain,
( ~ sQ13_spl
| h(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f96,f1693]) ).
fof(f1695,plain,
( ~ sQ13_spl
| h(e10) = op2(e23,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f216,f347]) ).
fof(f1696,plain,
( ~ sQ13_spl
| h(e10) = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1694,f1695]) ).
fof(f1705,plain,
( ~ sQ13_spl
| h(e10) = e24 ),
inference(forward_demodulation,[status(thm)],[f94,f1696]) ).
fof(f1743,plain,
( ~ sQ13_spl
| e21 = op2(h(e13),h(e10)) ),
inference(forward_demodulation,[status(thm)],[f1694,f349]) ).
fof(f1744,plain,
( ~ sQ13_spl
| e21 = op2(e21,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f1694,f1743]) ).
fof(f1745,plain,
( ~ sQ13_spl
| e21 = op2(e21,e24) ),
inference(forward_demodulation,[status(thm)],[f1705,f1744]) ).
fof(f1746,plain,
( ~ sQ13_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f87,f1745]) ).
fof(f1747,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1746,f23]) ).
fof(f1748,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f1747]) ).
fof(f1806,plain,
( ~ sQ9_spl
| h(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f102,f1275]) ).
fof(f1817,plain,
( ~ sQ33_spl
| ~ sQ9_spl
| j(e23) = op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f486,f1662]) ).
fof(f1821,plain,
( ~ sQ33_spl
| ~ sQ9_spl
| j(e23) = e12 ),
inference(forward_demodulation,[status(thm)],[f61,f1817]) ).
fof(f1823,plain,
( ~ sQ33_spl
| ~ sQ9_spl
| e11 = op1(j(e23),e13) ),
inference(forward_demodulation,[status(thm)],[f486,f1664]) ).
fof(f1824,plain,
( ~ sQ33_spl
| ~ sQ9_spl
| e11 = op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f1821,f1823]) ).
fof(f1825,plain,
( ~ sQ33_spl
| ~ sQ9_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f66,f1824]) ).
fof(f1826,plain,
( ~ sQ33_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1825,f8]) ).
fof(f1827,plain,
( ~ sQ33_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1826]) ).
fof(f1884,plain,
( sQ0_spl
| ~ sQ9_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1806,f176]) ).
fof(f1885,plain,
( sQ0_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1884]) ).
fof(f1886,plain,
( sQ0_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1885]) ).
fof(f1910,plain,
( ~ sQ32_spl
| ~ sQ9_spl
| j(e23) = op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f486,f1211]) ).
fof(f1924,plain,
( ~ sQ32_spl
| ~ sQ9_spl
| j(e23) = e14 ),
inference(forward_demodulation,[status(thm)],[f60,f1910]) ).
fof(f1925,plain,
( ~ sQ32_spl
| ~ sQ9_spl
| e11 = op1(j(e23),e12) ),
inference(forward_demodulation,[status(thm)],[f486,f1213]) ).
fof(f1926,plain,
( ~ sQ32_spl
| ~ sQ9_spl
| e11 = op1(e14,e12) ),
inference(forward_demodulation,[status(thm)],[f1924,f1925]) ).
fof(f1927,plain,
( ~ sQ32_spl
| ~ sQ9_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f75,f1926]) ).
fof(f1928,plain,
( ~ sQ32_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1927,f8]) ).
fof(f1929,plain,
( ~ sQ32_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1928]) ).
fof(f1937,plain,
( ~ sQ9_spl
| e11 = op1(j(e21),j(e22)) ),
inference(forward_demodulation,[status(thm)],[f486,f366]) ).
fof(f2091,plain,
( ~ sQ34_spl
| ~ sQ25_spl
| j(e21) = op1(e14,e10) ),
inference(forward_demodulation,[status(thm)],[f255,f428]) ).
fof(f2092,plain,
( ~ sQ34_spl
| ~ sQ25_spl
| j(e21) = e14 ),
inference(forward_demodulation,[status(thm)],[f73,f2091]) ).
fof(f2095,plain,
( ~ sQ34_spl
| ~ sQ25_spl
| j(e22) = op1(e14,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f2092,f365]) ).
fof(f2096,plain,
( ~ sQ34_spl
| ~ sQ25_spl
| j(e22) = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f2092,f2095]) ).
fof(f2098,plain,
( ~ sQ34_spl
| ~ sQ25_spl
| j(e22) = e12 ),
inference(forward_demodulation,[status(thm)],[f77,f2096]) ).
fof(f2099,plain,
( ~ sQ9_spl
| ~ sQ34_spl
| ~ sQ25_spl
| e11 = op1(e14,j(e22)) ),
inference(forward_demodulation,[status(thm)],[f2092,f1937]) ).
fof(f2100,plain,
( ~ sQ9_spl
| ~ sQ34_spl
| ~ sQ25_spl
| e11 = op1(e14,e12) ),
inference(forward_demodulation,[status(thm)],[f2098,f2099]) ).
fof(f2101,plain,
( ~ sQ9_spl
| ~ sQ34_spl
| ~ sQ25_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f75,f2100]) ).
fof(f2102,plain,
( ~ sQ9_spl
| ~ sQ34_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2101,f8]) ).
fof(f2103,plain,
( ~ sQ9_spl
| ~ sQ34_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f2102]) ).
fof(f2104,plain,
$false,
inference(sat_refutation,[status(thm)],[f205,f285,f785,f801,f832,f941,f1160,f1308,f1419,f1435,f1534,f1650,f1748,f1827,f1886,f1929,f2103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG080+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 12:53:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.47 % Refutation found
% 0.14/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.49 % Elapsed time: 0.114056 seconds
% 0.14/0.49 % CPU time: 0.588024 seconds
% 0.14/0.49 % Total memory used: 120.664 MB
% 0.14/0.49 % Net memory used: 120.314 MB
%------------------------------------------------------------------------------