%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG077+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 : n010.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 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 23
% Syntax : Number of formulae : 224 ( 67 unt; 18 def)
% Number of atoms : 794 ( 591 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 744 ( 174 ~; 279 |; 271 &)
% ( 18 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op1(e14,e14) = e10
& op1(e14,e13) = 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/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op2(e24,e24) = e21
& op2(e24,e23) = e22
& op2(e24,e22) = e20
& op2(e24,e21) = e23
& op2(e24,e20) = e24
& op2(e23,e24) = e22
& op2(e23,e23) = e21
& op2(e23,e22) = e24
& op2(e23,e21) = e20
& op2(e23,e20) = e23
& op2(e22,e24) = e23
& op2(e22,e23) = e20
& op2(e22,e22) = e21
& op2(e22,e21) = e24
& op2(e22,e20) = e22
& op2(e21,e24) = e20
& op2(e21,e23) = e24
& op2(e21,e22) = e23
& op2(e21,e21) = e22
& op2(e21,e20) = e21
& op2(e20,e24) = e24
& op2(e20,e23) = e23
& op2(e20,e22) = e22
& op2(e20,e21) = e21
& op2(e20,e20) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,conjecture,
( ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ ( ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f10,plain,
e10 != e13,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f16,plain,
e12 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f17,plain,
e13 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f20,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f22,plain,
e21 != e22,
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(f57,plain,
op1(e10,e14) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f59,plain,
op1(e11,e11) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f64,plain,
op1(e12,e11) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f65,plain,
op1(e12,e12) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f67,plain,
op1(e12,e14) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f71,plain,
op1(e13,e13) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f72,plain,
op1(e13,e14) = 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(f85,plain,
op2(e21,e22) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f89,plain,
op2(e22,e21) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f90,plain,
op2(e22,e22) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f94,plain,
op2(e23,e21) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f96,plain,
op2(e23,e23) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f97,plain,
op2(e23,e24) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f99,plain,
op2(e24,e21) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f100,plain,
op2(e24,e22) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f101,plain,
op2(e24,e23) = e22,
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(f112,plain,
( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = 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(f118,plain,
h(op1(e10,e14)) = op2(h(e10),h(e14)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f126,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f128,plain,
h(op1(e12,e14)) = op2(h(e12),h(e14)),
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(f146,plain,
j(op2(e21,e22)) = op1(j(e21),j(e22)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f150,plain,
j(op2(e22,e21)) = op1(j(e22),j(e21)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f151,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f157,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f158,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f160,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f161,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f162,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(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(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(f171,plain,
j(h(e12)) = e12,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f172,plain,
j(h(e13)) = e13,
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f174,definition,
( sQ0_spl
<=> h(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ0_spl
| h(e10) = e20 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,definition,
( sQ1_spl
<=> h(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ1_spl
| h(e10) = e21 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f179,plain,
( sQ1_spl
| h(e10) != e21 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,definition,
( sQ2_spl
<=> h(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ2_spl
| h(e10) = e22 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f182,plain,
( sQ2_spl
| h(e10) != e22 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,definition,
( sQ3_spl
<=> h(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( ~ sQ3_spl
| h(e10) = e23 ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,definition,
( sQ4_spl
<=> h(e10) = e24 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ4_spl
| h(e10) = e24 ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f104,f174,f177,f180,f183,f186]) ).
fof(f206,definition,
( sQ10_spl
<=> h(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ10_spl
| h(e12) = e20 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(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(f224,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(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(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(f256,plain,
( sQ25_spl
| j(e20) != e10 ),
inference(component_clause,[status(thm)],[f254]) ).
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(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(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(f284,plain,
( sQ34_spl
| j(e21) != e14 ),
inference(component_clause,[status(thm)],[f282]) ).
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(f317,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f112,f302,f305,f308,f311,f314]) ).
fof(f334,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[status(thm)],[f53,f114]) ).
fof(f338,plain,
h(e14) = op2(h(e10),h(e14)),
inference(forward_demodulation,[status(thm)],[f57,f118]) ).
fof(f346,plain,
h(e14) = op2(h(e12),h(e12)),
inference(forward_demodulation,[status(thm)],[f65,f126]) ).
fof(f348,plain,
h(e13) = op2(h(e12),h(e14)),
inference(forward_demodulation,[status(thm)],[f67,f128]) ).
fof(f358,plain,
h(e10) = op2(h(e14),h(e14)),
inference(forward_demodulation,[status(thm)],[f77,f138]) ).
fof(f359,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[status(thm)],[f78,f139]) ).
fof(f366,plain,
j(e23) = op1(j(e21),j(e22)),
inference(forward_demodulation,[status(thm)],[f85,f146]) ).
fof(f370,plain,
j(e24) = op1(j(e22),j(e21)),
inference(forward_demodulation,[status(thm)],[f89,f150]) ).
fof(f371,plain,
j(e21) = op1(j(e22),j(e22)),
inference(forward_demodulation,[status(thm)],[f90,f151]) ).
fof(f377,plain,
j(e21) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f96,f157]) ).
fof(f378,plain,
j(e22) = op1(j(e23),j(e24)),
inference(forward_demodulation,[status(thm)],[f97,f158]) ).
fof(f380,plain,
j(e23) = op1(j(e24),j(e21)),
inference(forward_demodulation,[status(thm)],[f99,f160]) ).
fof(f381,plain,
j(e20) = op1(j(e24),j(e22)),
inference(forward_demodulation,[status(thm)],[f100,f161]) ).
fof(f382,plain,
j(e22) = op1(j(e24),j(e23)),
inference(forward_demodulation,[status(thm)],[f101,f162]) ).
fof(f403,plain,
( ~ sQ44_spl
| h(e14) = e23 ),
inference(backward_demodulation,[status(thm)],[f315,f167]) ).
fof(f427,plain,
( ~ sQ34_spl
| h(e14) = e21 ),
inference(backward_demodulation,[status(thm)],[f283,f165]) ).
fof(f537,plain,
( ~ sQ40_spl
| h(e10) = e23 ),
inference(forward_demodulation,[status(thm)],[f303,f167]) ).
fof(f538,plain,
( ~ sQ40_spl
| ~ sQ4_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f187,f537]) ).
fof(f539,plain,
( ~ sQ40_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f538,f27]) ).
fof(f540,plain,
( ~ sQ40_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f539]) ).
fof(f576,plain,
( ~ sQ30_spl
| h(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f271,f165]) ).
fof(f588,plain,
( ~ sQ25_spl
| h(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f255,f164]) ).
fof(f636,plain,
( ~ sQ15_spl
| j(e20) = e13 ),
inference(forward_demodulation,[status(thm)],[f223,f172]) ).
fof(f660,plain,
( ~ sQ10_spl
| j(e20) = e12 ),
inference(forward_demodulation,[status(thm)],[f207,f171]) ).
fof(f697,plain,
( ~ sQ40_spl
| ~ sQ0_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f175,f537]) ).
fof(f698,plain,
( ~ sQ40_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f697,f20]) ).
fof(f699,plain,
( ~ sQ40_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f698]) ).
fof(f729,plain,
( ~ sQ10_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f660,f260,f206]) ).
fof(f761,plain,
( ~ sQ1_spl
| e21 = op2(h(e10),h(e10)) ),
inference(forward_demodulation,[status(thm)],[f178,f334]) ).
fof(f762,plain,
( ~ sQ1_spl
| e21 = op2(e21,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f178,f761]) ).
fof(f763,plain,
( ~ sQ1_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f178,f762]) ).
fof(f764,plain,
( ~ sQ1_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f84,f763]) ).
fof(f765,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f764,f22]) ).
fof(f766,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f765]) ).
fof(f770,plain,
( ~ sQ41_spl
| e11 = op1(j(e24),j(e21)) ),
inference(backward_demodulation,[status(thm)],[f306,f380]) ).
fof(f840,plain,
( ~ sQ17_spl
| j(e22) = e13 ),
inference(backward_demodulation,[status(thm)],[f229,f172]) ).
fof(f849,plain,
( ~ sQ21_spl
| h(e14) = op2(h(e10),e21) ),
inference(backward_demodulation,[status(thm)],[f242,f338]) ).
fof(f851,plain,
( ~ sQ21_spl
| h(e10) = op2(h(e14),e21) ),
inference(backward_demodulation,[status(thm)],[f242,f358]) ).
fof(f894,plain,
( ~ sQ42_spl
| h(e12) = e23 ),
inference(backward_demodulation,[status(thm)],[f309,f167]) ).
fof(f913,plain,
( ~ sQ21_spl
| e21 = op2(h(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f242,f849]) ).
fof(f914,plain,
( ~ sQ21_spl
| ~ sQ2_spl
| e21 = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f181,f913]) ).
fof(f915,plain,
( ~ sQ21_spl
| ~ sQ2_spl
| e21 = e24 ),
inference(forward_demodulation,[status(thm)],[f89,f914]) ).
fof(f916,plain,
( ~ sQ21_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f915,f24]) ).
fof(f917,plain,
( ~ sQ21_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f916]) ).
fof(f957,plain,
( ~ sQ15_spl
| e13 = op1(j(e20),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f636,f359]) ).
fof(f958,plain,
( ~ sQ15_spl
| e13 = op1(e13,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f636,f957]) ).
fof(f959,plain,
( ~ sQ15_spl
| e13 = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f636,f958]) ).
fof(f960,plain,
( ~ sQ15_spl
| e13 = e14 ),
inference(forward_demodulation,[status(thm)],[f71,f959]) ).
fof(f961,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f960,f17]) ).
fof(f962,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f961]) ).
fof(f995,plain,
( ~ sQ41_spl
| e11 = op1(j(e24),j(e21)) ),
inference(backward_demodulation,[status(thm)],[f996,f380]) ).
fof(f996,plain,
( ~ sQ41_spl
| e11 = j(e23) ),
inference(forward_demodulation,[status(thm)],[f380,f770]) ).
fof(f1010,plain,
( ~ sQ25_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f588,f174,f254]) ).
fof(f1133,plain,
( ~ sQ42_spl
| h(e14) = op2(e23,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f894,f346]) ).
fof(f1134,plain,
( ~ sQ42_spl
| h(e14) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f894,f1133]) ).
fof(f1136,plain,
( ~ sQ42_spl
| h(e14) = e21 ),
inference(forward_demodulation,[status(thm)],[f96,f1134]) ).
fof(f1137,plain,
( ~ sQ42_spl
| h(e13) = op2(e23,h(e14)) ),
inference(forward_demodulation,[status(thm)],[f894,f348]) ).
fof(f1138,plain,
( ~ sQ42_spl
| h(e13) = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1136,f1137]) ).
fof(f1139,plain,
( ~ sQ42_spl
| h(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f94,f1138]) ).
fof(f1140,plain,
( ~ sQ42_spl
| sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1139,f224]) ).
fof(f1141,plain,
( ~ sQ42_spl
| sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1140]) ).
fof(f1205,plain,
( ~ sQ17_spl
| e13 = op1(j(e24),j(e23)) ),
inference(backward_demodulation,[status(thm)],[f840,f382]) ).
fof(f1239,plain,
( ~ sQ3_spl
| j(e23) = e10 ),
inference(backward_demodulation,[status(thm)],[f184,f169]) ).
fof(f1257,plain,
( ~ sQ41_spl
| e11 = j(e23) ),
inference(forward_demodulation,[status(thm)],[f380,f995]) ).
fof(f1264,plain,
( ~ sQ41_spl
| j(e21) = op1(e11,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f1257,f377]) ).
fof(f1265,plain,
( ~ sQ41_spl
| j(e21) = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f1257,f1264]) ).
fof(f1266,plain,
( ~ sQ41_spl
| j(e21) = e14 ),
inference(forward_demodulation,[status(thm)],[f59,f1265]) ).
fof(f1267,plain,
( ~ sQ41_spl
| sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1266,f284]) ).
fof(f1268,plain,
( ~ sQ41_spl
| sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1267]) ).
fof(f1355,plain,
( ~ sQ30_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f576,f177,f270]) ).
fof(f1365,plain,
( ~ sQ43_spl
| j(e21) = op1(j(e23),e13) ),
inference(backward_demodulation,[status(thm)],[f312,f377]) ).
fof(f1463,plain,
( ~ sQ43_spl
| j(e21) = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f312,f1365]) ).
fof(f1464,plain,
( ~ sQ43_spl
| j(e21) = e14 ),
inference(forward_demodulation,[status(thm)],[f71,f1463]) ).
fof(f1465,plain,
( ~ sQ43_spl
| sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1464,f284]) ).
fof(f1466,plain,
( ~ sQ43_spl
| sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1465]) ).
fof(f1481,plain,
( ~ sQ21_spl
| h(e10) = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f242,f851]) ).
fof(f1608,plain,
( ~ sQ3_spl
| j(e22) = op1(j(e24),e10) ),
inference(forward_demodulation,[status(thm)],[f1239,f382]) ).
fof(f1620,plain,
( ~ sQ3_spl
| j(e21) = op1(e10,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f1239,f377]) ).
fof(f1621,plain,
( ~ sQ3_spl
| j(e21) = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f1239,f1620]) ).
fof(f1626,plain,
( ~ sQ3_spl
| j(e21) = e10 ),
inference(forward_demodulation,[status(thm)],[f53,f1621]) ).
fof(f1627,plain,
( ~ sQ3_spl
| e10 = op1(j(e24),j(e21)) ),
inference(forward_demodulation,[status(thm)],[f1239,f380]) ).
fof(f1628,plain,
( ~ sQ3_spl
| e10 = op1(j(e24),e10) ),
inference(forward_demodulation,[status(thm)],[f1626,f1627]) ).
fof(f1634,plain,
( ~ sQ3_spl
| e10 = j(e22) ),
inference(forward_demodulation,[status(thm)],[f1608,f1628]) ).
fof(f1642,plain,
( ~ sQ3_spl
| j(e20) = op1(j(e24),e10) ),
inference(forward_demodulation,[status(thm)],[f1634,f381]) ).
fof(f1643,plain,
( ~ sQ3_spl
| j(e20) = j(e22) ),
inference(forward_demodulation,[status(thm)],[f1608,f1642]) ).
fof(f1651,plain,
( ~ sQ3_spl
| j(e20) = e10 ),
inference(forward_demodulation,[status(thm)],[f1634,f1643]) ).
fof(f1653,plain,
( sQ25_spl
| ~ sQ3_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f1651,f256]) ).
fof(f1654,plain,
( sQ25_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1653]) ).
fof(f1655,plain,
( sQ25_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1654]) ).
fof(f1657,plain,
( ~ sQ40_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f537,f183,f302]) ).
fof(f1723,plain,
( ~ sQ27_spl
| e12 = op1(j(e20),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f261,f359]) ).
fof(f1724,plain,
( ~ sQ27_spl
| e12 = op1(e12,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f261,f1723]) ).
fof(f1725,plain,
( ~ sQ27_spl
| e12 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f261,f1724]) ).
fof(f1726,plain,
( ~ sQ27_spl
| e12 = e14 ),
inference(forward_demodulation,[status(thm)],[f65,f1725]) ).
fof(f1727,plain,
( ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1726,f16]) ).
fof(f1728,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f1727]) ).
fof(f1738,plain,
( ~ sQ17_spl
| j(e22) = e13 ),
inference(backward_demodulation,[status(thm)],[f229,f172]) ).
fof(f1742,plain,
( ~ sQ17_spl
| j(e21) = op1(j(e22),e13) ),
inference(backward_demodulation,[status(thm)],[f1754,f371]) ).
fof(f1743,plain,
( ~ sQ17_spl
| j(e24) = op1(e13,j(e21)) ),
inference(backward_demodulation,[status(thm)],[f1754,f370]) ).
fof(f1744,plain,
( ~ sQ17_spl
| j(e23) = op1(j(e21),e13) ),
inference(backward_demodulation,[status(thm)],[f1754,f366]) ).
fof(f1746,plain,
( ~ sQ17_spl
| e13 = op1(j(e23),j(e24)) ),
inference(backward_demodulation,[status(thm)],[f1754,f378]) ).
fof(f1754,plain,
( ~ sQ17_spl
| e13 = j(e22) ),
inference(forward_demodulation,[status(thm)],[f382,f1205]) ).
fof(f1809,plain,
( ~ sQ34_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f427,f241,f282]) ).
fof(f2003,plain,
( ~ sQ44_spl
| h(e10) = op2(e23,h(e14)) ),
inference(forward_demodulation,[status(thm)],[f403,f358]) ).
fof(f2004,plain,
( ~ sQ44_spl
| h(e10) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f403,f2003]) ).
fof(f2011,plain,
( ~ sQ44_spl
| h(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f96,f2004]) ).
fof(f2035,plain,
( sQ1_spl
| ~ sQ44_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2011,f179]) ).
fof(f2036,plain,
( sQ1_spl
| ~ sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2035]) ).
fof(f2037,plain,
( sQ1_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f2036]) ).
fof(f2061,plain,
( ~ sQ17_spl
| j(e21) = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f1738,f1742]) ).
fof(f2065,plain,
( ~ sQ17_spl
| j(e21) = e14 ),
inference(forward_demodulation,[status(thm)],[f71,f2061]) ).
fof(f2066,plain,
( ~ sQ17_spl
| j(e24) = op1(e13,e14) ),
inference(forward_demodulation,[status(thm)],[f2065,f1743]) ).
fof(f2073,plain,
( ~ sQ17_spl
| j(e24) = e11 ),
inference(forward_demodulation,[status(thm)],[f72,f2066]) ).
fof(f2074,plain,
( ~ sQ17_spl
| j(e23) = op1(e14,e13) ),
inference(forward_demodulation,[status(thm)],[f2065,f1744]) ).
fof(f2075,plain,
( ~ sQ17_spl
| j(e23) = e12 ),
inference(forward_demodulation,[status(thm)],[f76,f2074]) ).
fof(f2078,plain,
( ~ sQ17_spl
| e13 = op1(e12,j(e24)) ),
inference(forward_demodulation,[status(thm)],[f2075,f1746]) ).
fof(f2079,plain,
( ~ sQ17_spl
| e13 = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f2073,f2078]) ).
fof(f2080,plain,
( ~ sQ17_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f64,f2079]) ).
fof(f2081,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2080,f10]) ).
fof(f2082,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f2081]) ).
fof(f2085,plain,
( ~ sQ21_spl
| h(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f84,f1481]) ).
fof(f2086,plain,
( ~ sQ21_spl
| sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2085,f182]) ).
fof(f2087,plain,
( ~ sQ21_spl
| sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2086]) ).
fof(f2088,plain,
$false,
inference(sat_refutation,[status(thm)],[f189,f317,f540,f699,f729,f766,f917,f962,f1010,f1141,f1268,f1355,f1466,f1655,f1657,f1728,f1809,f2037,f2082,f2087]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG077+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 12:55:41 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.060280 seconds
% 0.14/0.43 % CPU time: 0.218196 seconds
% 0.14/0.43 % Total memory used: 84.905 MB
% 0.14/0.43 % Net memory used: 84.750 MB
%------------------------------------------------------------------------------