%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG204+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 : n018.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 11:48:54 AM UTC 2026
% Result : Theorem 0.15s 5.46s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 27
% Syntax : Number of formulae : 218 ( 55 unt; 23 def)
% Number of atoms : 1133 ( 923 equ)
% Maximal formula atoms : 210 ( 5 avg)
% Number of connectives : 1090 ( 175 ~; 401 |; 489 &)
% ( 23 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 126 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e15 != e16
& e14 != e16
& e14 != e15
& e13 != e16
& e13 != e15
& e13 != e14
& e12 != e16
& e12 != e15
& e12 != e14
& e12 != e13
& e11 != e16
& e11 != e15
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e16
& e10 != e15
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op1(e16,e16) = e10
& op1(e16,e15) = e16
& op1(e16,e14) = e11
& op1(e16,e13) = e13
& op1(e16,e12) = e14
& op1(e16,e11) = e12
& op1(e16,e10) = e15
& op1(e15,e16) = e16
& op1(e15,e15) = e11
& op1(e15,e14) = e15
& op1(e15,e13) = e10
& op1(e15,e12) = e13
& op1(e15,e11) = e14
& op1(e15,e10) = e12
& op1(e14,e16) = e11
& op1(e14,e15) = e15
& op1(e14,e14) = e12
& op1(e14,e13) = e16
& op1(e14,e12) = e10
& op1(e14,e11) = e13
& op1(e14,e10) = e14
& op1(e13,e16) = e13
& op1(e13,e15) = e10
& op1(e13,e14) = e16
& op1(e13,e13) = e14
& op1(e13,e12) = e12
& op1(e13,e11) = e15
& op1(e13,e10) = e11
& op1(e12,e16) = e14
& op1(e12,e15) = e13
& op1(e12,e14) = e10
& op1(e12,e13) = e12
& op1(e12,e12) = e15
& op1(e12,e11) = e11
& op1(e12,e10) = e16
& op1(e11,e16) = e12
& op1(e11,e15) = e14
& op1(e11,e14) = e13
& op1(e11,e13) = e15
& op1(e11,e12) = e11
& op1(e11,e11) = e16
& op1(e11,e10) = e10
& op1(e10,e16) = e15
& op1(e10,e15) = e12
& op1(e10,e14) = e14
& op1(e10,e13) = e11
& op1(e10,e12) = e16
& op1(e10,e11) = e10
& op1(e10,e10) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op2(e26,e26) = e26
& op2(e26,e25) = e22
& op2(e26,e24) = e23
& op2(e26,e23) = e21
& op2(e26,e22) = e20
& op2(e26,e21) = e24
& op2(e26,e20) = e25
& op2(e25,e26) = e22
& op2(e25,e25) = e25
& op2(e25,e24) = e21
& op2(e25,e23) = e26
& op2(e25,e22) = e23
& op2(e25,e21) = e20
& op2(e25,e20) = e24
& op2(e24,e26) = e23
& op2(e24,e25) = e21
& op2(e24,e24) = e24
& op2(e24,e23) = e20
& op2(e24,e22) = e25
& op2(e24,e21) = e22
& op2(e24,e20) = e26
& op2(e23,e26) = e21
& op2(e23,e25) = e26
& op2(e23,e24) = e20
& op2(e23,e23) = e23
& op2(e23,e22) = e24
& op2(e23,e21) = e25
& op2(e23,e20) = e22
& op2(e22,e26) = e20
& op2(e22,e25) = e23
& op2(e22,e24) = e25
& op2(e22,e23) = e24
& op2(e22,e22) = e22
& op2(e22,e21) = e26
& op2(e22,e20) = e21
& op2(e21,e26) = e24
& op2(e21,e25) = e20
& op2(e21,e24) = e22
& op2(e21,e23) = e25
& op2(e21,e22) = e26
& op2(e21,e21) = e21
& op2(e21,e20) = e23
& op2(e20,e26) = e25
& op2(e20,e25) = e24
& op2(e20,e24) = e26
& op2(e20,e23) = e22
& op2(e20,e22) = e21
& op2(e20,e21) = e23
& op2(e20,e20) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,conjecture,
( ( ( j(e26) = e16
| j(e26) = e15
| j(e26) = e14
| j(e26) = e13
| j(e26) = e12
| j(e26) = e11
| j(e26) = e10 )
& ( j(e25) = e16
| j(e25) = e15
| j(e25) = e14
| j(e25) = e13
| j(e25) = e12
| j(e25) = e11
| j(e25) = e10 )
& ( j(e24) = e16
| j(e24) = e15
| j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e16
| j(e23) = e15
| j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e16
| j(e22) = e15
| j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e16
| j(e21) = e15
| j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e16
| j(e20) = e15
| j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e16) = e26
| h(e16) = e25
| h(e16) = e24
| h(e16) = e23
| h(e16) = e22
| h(e16) = e21
| h(e16) = e20 )
& ( h(e15) = e26
| h(e15) = e25
| h(e15) = e24
| h(e15) = e23
| h(e15) = e22
| h(e15) = e21
| h(e15) = e20 )
& ( h(e14) = e26
| h(e14) = e25
| h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e26
| h(e13) = e25
| h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e26
| h(e12) = e25
| h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e26
| h(e11) = e25
| h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e26
| h(e10) = e25
| h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e16)) = e16
& j(h(e15)) = e15
& j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e26)) = e26
& h(j(e25)) = e25
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e26,e26)) = op1(j(e26),j(e26))
& j(op2(e26,e25)) = op1(j(e26),j(e25))
& j(op2(e26,e24)) = op1(j(e26),j(e24))
& j(op2(e26,e23)) = op1(j(e26),j(e23))
& j(op2(e26,e22)) = op1(j(e26),j(e22))
& j(op2(e26,e21)) = op1(j(e26),j(e21))
& j(op2(e26,e20)) = op1(j(e26),j(e20))
& j(op2(e25,e26)) = op1(j(e25),j(e26))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e24,e26)) = op1(j(e24),j(e26))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& 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,e26)) = op1(j(e23),j(e26))
& j(op2(e23,e25)) = op1(j(e23),j(e25))
& 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,e26)) = op1(j(e22),j(e26))
& j(op2(e22,e25)) = op1(j(e22),j(e25))
& 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,e26)) = op1(j(e21),j(e26))
& j(op2(e21,e25)) = op1(j(e21),j(e25))
& 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,e26)) = op1(j(e20),j(e26))
& j(op2(e20,e25)) = op1(j(e20),j(e25))
& 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(e16,e16)) = op2(h(e16),h(e16))
& h(op1(e16,e15)) = op2(h(e16),h(e15))
& h(op1(e16,e14)) = op2(h(e16),h(e14))
& h(op1(e16,e13)) = op2(h(e16),h(e13))
& h(op1(e16,e12)) = op2(h(e16),h(e12))
& h(op1(e16,e11)) = op2(h(e16),h(e11))
& h(op1(e16,e10)) = op2(h(e16),h(e10))
& h(op1(e15,e16)) = op2(h(e15),h(e16))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e14,e16)) = op2(h(e14),h(e16))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& 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,e16)) = op2(h(e13),h(e16))
& h(op1(e13,e15)) = op2(h(e13),h(e15))
& 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,e16)) = op2(h(e12),h(e16))
& h(op1(e12,e15)) = op2(h(e12),h(e15))
& 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,e16)) = op2(h(e11),h(e16))
& h(op1(e11,e15)) = op2(h(e11),h(e15))
& 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,e16)) = op2(h(e10),h(e16))
& h(op1(e10,e15)) = op2(h(e10),h(e15))
& 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(e26) = e16
| j(e26) = e15
| j(e26) = e14
| j(e26) = e13
| j(e26) = e12
| j(e26) = e11
| j(e26) = e10 )
& ( j(e25) = e16
| j(e25) = e15
| j(e25) = e14
| j(e25) = e13
| j(e25) = e12
| j(e25) = e11
| j(e25) = e10 )
& ( j(e24) = e16
| j(e24) = e15
| j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e16
| j(e23) = e15
| j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e16
| j(e22) = e15
| j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e16
| j(e21) = e15
| j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e16
| j(e20) = e15
| j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e16) = e26
| h(e16) = e25
| h(e16) = e24
| h(e16) = e23
| h(e16) = e22
| h(e16) = e21
| h(e16) = e20 )
& ( h(e15) = e26
| h(e15) = e25
| h(e15) = e24
| h(e15) = e23
| h(e15) = e22
| h(e15) = e21
| h(e15) = e20 )
& ( h(e14) = e26
| h(e14) = e25
| h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e26
| h(e13) = e25
| h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e26
| h(e12) = e25
| h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e26
| h(e11) = e25
| h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e26
| h(e10) = e25
| h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e16)) = e16
& j(h(e15)) = e15
& j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e26)) = e26
& h(j(e25)) = e25
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e26,e26)) = op1(j(e26),j(e26))
& j(op2(e26,e25)) = op1(j(e26),j(e25))
& j(op2(e26,e24)) = op1(j(e26),j(e24))
& j(op2(e26,e23)) = op1(j(e26),j(e23))
& j(op2(e26,e22)) = op1(j(e26),j(e22))
& j(op2(e26,e21)) = op1(j(e26),j(e21))
& j(op2(e26,e20)) = op1(j(e26),j(e20))
& j(op2(e25,e26)) = op1(j(e25),j(e26))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e24,e26)) = op1(j(e24),j(e26))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& 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,e26)) = op1(j(e23),j(e26))
& j(op2(e23,e25)) = op1(j(e23),j(e25))
& 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,e26)) = op1(j(e22),j(e26))
& j(op2(e22,e25)) = op1(j(e22),j(e25))
& 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,e26)) = op1(j(e21),j(e26))
& j(op2(e21,e25)) = op1(j(e21),j(e25))
& 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,e26)) = op1(j(e20),j(e26))
& j(op2(e20,e25)) = op1(j(e20),j(e25))
& 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(e16,e16)) = op2(h(e16),h(e16))
& h(op1(e16,e15)) = op2(h(e16),h(e15))
& h(op1(e16,e14)) = op2(h(e16),h(e14))
& h(op1(e16,e13)) = op2(h(e16),h(e13))
& h(op1(e16,e12)) = op2(h(e16),h(e12))
& h(op1(e16,e11)) = op2(h(e16),h(e11))
& h(op1(e16,e10)) = op2(h(e16),h(e10))
& h(op1(e15,e16)) = op2(h(e15),h(e16))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e14,e16)) = op2(h(e14),h(e16))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& 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,e16)) = op2(h(e13),h(e16))
& h(op1(e13,e15)) = op2(h(e13),h(e15))
& 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,e16)) = op2(h(e12),h(e16))
& h(op1(e12,e15)) = op2(h(e12),h(e15))
& 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,e16)) = op2(h(e11),h(e16))
& h(op1(e11,e15)) = op2(h(e11),h(e15))
& 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,e16)) = op2(h(e10),h(e16))
& h(op1(e10,e15)) = op2(h(e10),h(e15))
& 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(f13,plain,
e10 != e16,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f20,plain,
e12 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f21,plain,
e12 != e15,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
e13 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f99,plain,
op1(e10,e10) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f115,plain,
op1(e12,e12) = e15,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f123,plain,
op1(e13,e13) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
op1(e14,e14) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f147,plain,
op1(e16,e16) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f148,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f156,plain,
op2(e21,e21) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f164,plain,
op2(e22,e22) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f172,plain,
op2(e23,e23) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f180,plain,
op2(e24,e24) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f188,plain,
op2(e25,e25) = e25,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f196,plain,
op2(e26,e26) = e26,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f197,plain,
( j(h(e16)) = e16
& j(h(e15)) = e15
& j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e26)) = e26
& h(j(e25)) = e25
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e26,e26)) = op1(j(e26),j(e26))
& j(op2(e26,e25)) = op1(j(e26),j(e25))
& j(op2(e26,e24)) = op1(j(e26),j(e24))
& j(op2(e26,e23)) = op1(j(e26),j(e23))
& j(op2(e26,e22)) = op1(j(e26),j(e22))
& j(op2(e26,e21)) = op1(j(e26),j(e21))
& j(op2(e26,e20)) = op1(j(e26),j(e20))
& j(op2(e25,e26)) = op1(j(e25),j(e26))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e24,e26)) = op1(j(e24),j(e26))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& 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,e26)) = op1(j(e23),j(e26))
& j(op2(e23,e25)) = op1(j(e23),j(e25))
& 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,e26)) = op1(j(e22),j(e26))
& j(op2(e22,e25)) = op1(j(e22),j(e25))
& 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,e26)) = op1(j(e21),j(e26))
& j(op2(e21,e25)) = op1(j(e21),j(e25))
& 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,e26)) = op1(j(e20),j(e26))
& j(op2(e20,e25)) = op1(j(e20),j(e25))
& 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(e16,e16)) = op2(h(e16),h(e16))
& h(op1(e16,e15)) = op2(h(e16),h(e15))
& h(op1(e16,e14)) = op2(h(e16),h(e14))
& h(op1(e16,e13)) = op2(h(e16),h(e13))
& h(op1(e16,e12)) = op2(h(e16),h(e12))
& h(op1(e16,e11)) = op2(h(e16),h(e11))
& h(op1(e16,e10)) = op2(h(e16),h(e10))
& h(op1(e15,e16)) = op2(h(e15),h(e16))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e14,e16)) = op2(h(e14),h(e16))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& 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,e16)) = op2(h(e13),h(e16))
& h(op1(e13,e15)) = op2(h(e13),h(e15))
& 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,e16)) = op2(h(e12),h(e16))
& h(op1(e12,e15)) = op2(h(e12),h(e15))
& 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,e16)) = op2(h(e11),h(e16))
& h(op1(e11,e15)) = op2(h(e11),h(e15))
& 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,e16)) = op2(h(e10),h(e16))
& h(op1(e10,e15)) = op2(h(e10),h(e15))
& 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(e26) = e16
| j(e26) = e15
| j(e26) = e14
| j(e26) = e13
| j(e26) = e12
| j(e26) = e11
| j(e26) = e10 )
& ( j(e25) = e16
| j(e25) = e15
| j(e25) = e14
| j(e25) = e13
| j(e25) = e12
| j(e25) = e11
| j(e25) = e10 )
& ( j(e24) = e16
| j(e24) = e15
| j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e16
| j(e23) = e15
| j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e16
| j(e22) = e15
| j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e16
| j(e21) = e15
| j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e16
| j(e20) = e15
| j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e16) = e26
| h(e16) = e25
| h(e16) = e24
| h(e16) = e23
| h(e16) = e22
| h(e16) = e21
| h(e16) = e20 )
& ( h(e15) = e26
| h(e15) = e25
| h(e15) = e24
| h(e15) = e23
| h(e15) = e22
| h(e15) = e21
| h(e15) = e20 )
& ( h(e14) = e26
| h(e14) = e25
| h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e26
| h(e13) = e25
| h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e26
| h(e12) = e25
| h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e26
| h(e11) = e25
| h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e26
| h(e10) = e25
| h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f198,plain,
( h(e10) = e26
| h(e10) = e25
| h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f212,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f236,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f244,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f261,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f269,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f277,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f285,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f293,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f301,plain,
j(op2(e25,e25)) = op1(j(e25),j(e25)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f309,plain,
j(op2(e26,e26)) = op1(j(e26),j(e26)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f317,plain,
j(h(e10)) = e10,
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f319,plain,
j(h(e12)) = e12,
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f320,plain,
j(h(e13)) = e13,
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f324,definition,
( sQ0_spl
<=> h(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ0_spl
| h(e10) = e20 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,definition,
( sQ1_spl
<=> h(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ1_spl
| h(e10) = e21 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
( sQ2_spl
<=> h(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ2_spl
| h(e10) = e22 ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,definition,
( sQ3_spl
<=> h(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( ~ sQ3_spl
| h(e10) = e23 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,definition,
( sQ4_spl
<=> h(e10) = e24 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ4_spl
| h(e10) = e24 ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,definition,
( sQ5_spl
<=> h(e10) = e25 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( ~ sQ5_spl
| h(e10) = e25 ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,definition,
( sQ6_spl
<=> h(e10) = e26 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( ~ sQ6_spl
| h(e10) = e26 ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,plain,
( sQ6_spl
| sQ5_spl
| sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f198,f324,f327,f330,f333,f336,f339,f342]) ).
fof(f371,definition,
( sQ15_spl
<=> h(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( ~ sQ15_spl
| h(e12) = e21 ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f377,definition,
( sQ17_spl
<=> h(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ17_spl
| h(e12) = e23 ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f379,plain,
( sQ17_spl
| h(e12) != e23 ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f396,definition,
( sQ23_spl
<=> h(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( ~ sQ23_spl
| h(e13) = e22 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f398,plain,
( sQ23_spl
| h(e13) != e22 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f421,definition,
( sQ31_spl
<=> h(e14) = e23 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ31_spl
| h(e14) = e23 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f423,plain,
( sQ31_spl
| h(e14) != e23 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f478,definition,
( sQ49_spl
<=> j(e20) = e10 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( ~ sQ49_spl
| j(e20) = e10 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f484,definition,
( sQ51_spl
<=> j(e20) = e12 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ51_spl
| j(e20) = e12 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ52_spl
<=> j(e20) = e13 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ52_spl
| j(e20) = e13 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f528,definition,
( sQ65_spl
<=> j(e22) = e12 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ65_spl
| j(e22) = e12 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,definition,
( sQ66_spl
<=> j(e22) = e13 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ66_spl
| j(e22) = e13 ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f550,definition,
( sQ72_spl
<=> j(e23) = e12 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( ~ sQ72_spl
| j(e23) = e12 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f562,definition,
( sQ76_spl
<=> j(e23) = e16 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f563,plain,
( ~ sQ76_spl
| j(e23) = e16 ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f566,definition,
( sQ77_spl
<=> j(e24) = e10 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( ~ sQ77_spl
| j(e24) = e10 ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f588,definition,
( sQ84_spl
<=> j(e25) = e10 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( ~ sQ84_spl
| j(e25) = e10 ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f590,plain,
( sQ84_spl
| j(e25) != e10 ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f600,definition,
( sQ88_spl
<=> j(e25) = e14 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ88_spl
| j(e25) = e14 ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f610,definition,
( sQ91_spl
<=> j(e26) = e10 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ91_spl
| j(e26) = e10 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f612,plain,
( sQ91_spl
| j(e26) != e10 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f616,definition,
( sQ93_spl
<=> j(e26) = e12 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ93_spl
| j(e26) = e12 ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f663,plain,
h(e13) = op2(h(e10),h(e10)),
inference(backward_demodulation,[status(thm)],[f99,f212]) ).
fof(f802,plain,
h(e14) = op2(h(e13),h(e13)),
inference(forward_demodulation,[status(thm)],[f123,f236]) ).
fof(f867,plain,
h(e12) = op2(h(e14),h(e14)),
inference(forward_demodulation,[status(thm)],[f131,f244]) ).
fof(f933,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[status(thm)],[f148,f261]) ).
fof(f934,plain,
( ~ sQ49_spl
| e10 = op1(j(e20),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f479,f933]) ).
fof(f935,plain,
( ~ sQ49_spl
| e10 = op1(e10,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f479,f934]) ).
fof(f936,plain,
( ~ sQ49_spl
| e10 = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f479,f935]) ).
fof(f937,plain,
( ~ sQ49_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f99,f936]) ).
fof(f938,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f937,f10]) ).
fof(f939,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f938]) ).
fof(f975,plain,
j(e21) = op1(j(e21),j(e21)),
inference(forward_demodulation,[status(thm)],[f156,f269]) ).
fof(f1027,plain,
j(e22) = op1(j(e22),j(e22)),
inference(forward_demodulation,[status(thm)],[f164,f277]) ).
fof(f1075,plain,
j(e23) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f172,f285]) ).
fof(f1093,plain,
j(e24) = op1(j(e24),j(e24)),
inference(forward_demodulation,[status(thm)],[f180,f293]) ).
fof(f1119,plain,
j(e25) = op1(j(e25),j(e25)),
inference(forward_demodulation,[status(thm)],[f188,f301]) ).
fof(f1139,plain,
j(e26) = op1(j(e26),j(e26)),
inference(forward_demodulation,[status(thm)],[f196,f309]) ).
fof(f1159,plain,
( ~ sQ0_spl
| j(e20) = e10 ),
inference(forward_demodulation,[status(thm)],[f325,f317]) ).
fof(f1168,plain,
( ~ sQ23_spl
| j(e22) = e13 ),
inference(forward_demodulation,[status(thm)],[f397,f320]) ).
fof(f1190,plain,
( ~ sQ84_spl
| j(e25) = op1(j(e25),e10) ),
inference(backward_demodulation,[status(thm)],[f589,f1119]) ).
fof(f1194,plain,
( ~ sQ84_spl
| e10 = op1(j(e25),e10) ),
inference(forward_demodulation,[status(thm)],[f589,f1190]) ).
fof(f1195,plain,
( ~ sQ84_spl
| e10 = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f589,f1194]) ).
fof(f1196,plain,
( ~ sQ84_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f99,f1195]) ).
fof(f1197,plain,
( ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1196,f10]) ).
fof(f1198,plain,
~ sQ84_spl,
inference(contradiction_clause,[status(thm)],[f1197]) ).
fof(f1296,plain,
( ~ sQ15_spl
| j(e21) = e12 ),
inference(backward_demodulation,[status(thm)],[f372,f319]) ).
fof(f1382,plain,
( ~ sQ66_spl
| j(e22) = op1(j(e22),e13) ),
inference(backward_demodulation,[status(thm)],[f532,f1027]) ).
fof(f1384,plain,
( ~ sQ66_spl
| e13 = op1(j(e22),e13) ),
inference(forward_demodulation,[status(thm)],[f532,f1382]) ).
fof(f1385,plain,
( ~ sQ66_spl
| e13 = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f532,f1384]) ).
fof(f1386,plain,
( ~ sQ66_spl
| e13 = e14 ),
inference(forward_demodulation,[status(thm)],[f123,f1385]) ).
fof(f1387,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1386,f23]) ).
fof(f1388,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f1387]) ).
fof(f1389,plain,
( ~ sQ5_spl
| j(e25) = e10 ),
inference(forward_demodulation,[status(thm)],[f340,f317]) ).
fof(f1390,plain,
( ~ sQ5_spl
| sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1389,f590]) ).
fof(f1391,plain,
( ~ sQ5_spl
| sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f1390]) ).
fof(f1596,plain,
( ~ sQ1_spl
| j(e21) = op1(j(e21),e10) ),
inference(backward_demodulation,[status(thm)],[f1603,f975]) ).
fof(f1603,plain,
( ~ sQ1_spl
| j(e21) = e10 ),
inference(forward_demodulation,[status(thm)],[f328,f317]) ).
fof(f1604,plain,
( ~ sQ1_spl
| e10 = op1(j(e21),e10) ),
inference(forward_demodulation,[status(thm)],[f1603,f1596]) ).
fof(f1605,plain,
( ~ sQ1_spl
| e10 = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f1603,f1604]) ).
fof(f1606,plain,
( ~ sQ1_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f99,f1605]) ).
fof(f1607,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1606,f10]) ).
fof(f1608,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f1607]) ).
fof(f1648,plain,
( ~ sQ72_spl
| j(e23) = op1(j(e23),e12) ),
inference(backward_demodulation,[status(thm)],[f551,f1075]) ).
fof(f1649,plain,
( ~ sQ72_spl
| e12 = op1(j(e23),e12) ),
inference(forward_demodulation,[status(thm)],[f551,f1648]) ).
fof(f1650,plain,
( ~ sQ72_spl
| e12 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f551,f1649]) ).
fof(f1651,plain,
( ~ sQ72_spl
| e12 = e15 ),
inference(forward_demodulation,[status(thm)],[f115,f1650]) ).
fof(f1652,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1651,f21]) ).
fof(f1653,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f1652]) ).
fof(f1699,plain,
( ~ sQ17_spl
| j(e23) = e12 ),
inference(backward_demodulation,[status(thm)],[f378,f319]) ).
fof(f1710,plain,
( ~ sQ17_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f1699,f550,f377]) ).
fof(f1821,plain,
( ~ sQ6_spl
| j(e26) = e10 ),
inference(forward_demodulation,[status(thm)],[f343,f317]) ).
fof(f1822,plain,
( ~ sQ6_spl
| sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1821,f612]) ).
fof(f1823,plain,
( ~ sQ6_spl
| sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f1822]) ).
fof(f1860,plain,
( ~ sQ0_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f1159,f478,f324]) ).
fof(f1992,plain,
( ~ sQ91_spl
| j(e26) = op1(j(e26),e10) ),
inference(backward_demodulation,[status(thm)],[f611,f1139]) ).
fof(f1999,plain,
( ~ sQ91_spl
| e10 = op1(j(e26),e10) ),
inference(forward_demodulation,[status(thm)],[f611,f1992]) ).
fof(f2000,plain,
( ~ sQ91_spl
| e10 = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f611,f1999]) ).
fof(f2001,plain,
( ~ sQ91_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f99,f2000]) ).
fof(f2002,plain,
( ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2001,f10]) ).
fof(f2003,plain,
~ sQ91_spl,
inference(contradiction_clause,[status(thm)],[f2002]) ).
fof(f2037,plain,
( ~ sQ4_spl
| j(e24) = e10 ),
inference(backward_demodulation,[status(thm)],[f337,f317]) ).
fof(f2044,plain,
( ~ sQ4_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f2037,f566,f336]) ).
fof(f2183,plain,
( ~ sQ77_spl
| j(e24) = op1(j(e24),e10) ),
inference(backward_demodulation,[status(thm)],[f567,f1093]) ).
fof(f2190,plain,
( ~ sQ77_spl
| e10 = op1(j(e24),e10) ),
inference(forward_demodulation,[status(thm)],[f567,f2183]) ).
fof(f2191,plain,
( ~ sQ77_spl
| e10 = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f567,f2190]) ).
fof(f2192,plain,
( ~ sQ77_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f99,f2191]) ).
fof(f2193,plain,
( ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2192,f10]) ).
fof(f2194,plain,
~ sQ77_spl,
inference(contradiction_clause,[status(thm)],[f2193]) ).
fof(f2222,plain,
( ~ sQ52_spl
| j(e20) = op1(j(e20),e13) ),
inference(backward_demodulation,[status(thm)],[f488,f933]) ).
fof(f2223,plain,
( ~ sQ52_spl
| e13 = op1(j(e20),e13) ),
inference(forward_demodulation,[status(thm)],[f488,f2222]) ).
fof(f2224,plain,
( ~ sQ52_spl
| e13 = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f488,f2223]) ).
fof(f2225,plain,
( ~ sQ52_spl
| e13 = e14 ),
inference(forward_demodulation,[status(thm)],[f123,f2224]) ).
fof(f2226,plain,
( ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2225,f23]) ).
fof(f2227,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f2226]) ).
fof(f2239,plain,
( ~ sQ88_spl
| j(e25) = op1(j(e25),e14) ),
inference(backward_demodulation,[status(thm)],[f601,f1119]) ).
fof(f2242,plain,
( ~ sQ88_spl
| e14 = op1(j(e25),e14) ),
inference(forward_demodulation,[status(thm)],[f601,f2239]) ).
fof(f2243,plain,
( ~ sQ88_spl
| e14 = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f601,f2242]) ).
fof(f2244,plain,
( ~ sQ88_spl
| e14 = e12 ),
inference(forward_demodulation,[status(thm)],[f131,f2243]) ).
fof(f2245,plain,
( ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2244,f20]) ).
fof(f2246,plain,
~ sQ88_spl,
inference(contradiction_clause,[status(thm)],[f2245]) ).
fof(f2264,plain,
( ~ sQ2_spl
| h(e13) = op2(h(e10),e22) ),
inference(backward_demodulation,[status(thm)],[f331,f663]) ).
fof(f2274,plain,
( ~ sQ2_spl
| h(e13) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f331,f2264]) ).
fof(f2275,plain,
( ~ sQ2_spl
| h(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f164,f2274]) ).
fof(f2276,plain,
( ~ sQ2_spl
| sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2275,f398]) ).
fof(f2277,plain,
( ~ sQ2_spl
| sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2276]) ).
fof(f2293,plain,
( ~ sQ93_spl
| j(e26) = op1(j(e26),e12) ),
inference(backward_demodulation,[status(thm)],[f617,f1139]) ).
fof(f2294,plain,
( ~ sQ93_spl
| e12 = op1(j(e26),e12) ),
inference(forward_demodulation,[status(thm)],[f617,f2293]) ).
fof(f2295,plain,
( ~ sQ93_spl
| e12 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f617,f2294]) ).
fof(f2296,plain,
( ~ sQ93_spl
| e12 = e15 ),
inference(forward_demodulation,[status(thm)],[f115,f2295]) ).
fof(f2297,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2296,f21]) ).
fof(f2298,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f2297]) ).
fof(f2306,plain,
( ~ sQ31_spl
| h(e12) = op2(h(e14),e23) ),
inference(backward_demodulation,[status(thm)],[f422,f867]) ).
fof(f2314,plain,
( ~ sQ31_spl
| h(e12) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f422,f2306]) ).
fof(f2315,plain,
( ~ sQ31_spl
| h(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f172,f2314]) ).
fof(f2316,plain,
( ~ sQ31_spl
| sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2315,f379]) ).
fof(f2317,plain,
( ~ sQ31_spl
| sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2316]) ).
fof(f2341,plain,
( ~ sQ15_spl
| j(e21) = op1(j(e21),e12) ),
inference(backward_demodulation,[status(thm)],[f1296,f975]) ).
fof(f2342,plain,
( ~ sQ15_spl
| e12 = op1(j(e21),e12) ),
inference(forward_demodulation,[status(thm)],[f1296,f2341]) ).
fof(f2343,plain,
( ~ sQ15_spl
| e12 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f1296,f2342]) ).
fof(f2344,plain,
( ~ sQ15_spl
| e12 = e15 ),
inference(forward_demodulation,[status(thm)],[f115,f2343]) ).
fof(f2345,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2344,f21]) ).
fof(f2346,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f2345]) ).
fof(f2354,plain,
( ~ sQ65_spl
| j(e22) = op1(j(e22),e12) ),
inference(backward_demodulation,[status(thm)],[f529,f1027]) ).
fof(f2355,plain,
( ~ sQ65_spl
| e12 = op1(j(e22),e12) ),
inference(forward_demodulation,[status(thm)],[f529,f2354]) ).
fof(f2356,plain,
( ~ sQ65_spl
| e12 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f529,f2355]) ).
fof(f2357,plain,
( ~ sQ65_spl
| e12 = e15 ),
inference(forward_demodulation,[status(thm)],[f115,f2356]) ).
fof(f2358,plain,
( ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2357,f21]) ).
fof(f2359,plain,
~ sQ65_spl,
inference(contradiction_clause,[status(thm)],[f2358]) ).
fof(f2377,plain,
( ~ sQ23_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f1168,f531,f396]) ).
fof(f2403,plain,
( ~ sQ76_spl
| j(e23) = op1(j(e23),e16) ),
inference(backward_demodulation,[status(thm)],[f563,f1075]) ).
fof(f2404,plain,
( ~ sQ76_spl
| e16 = op1(j(e23),e16) ),
inference(forward_demodulation,[status(thm)],[f563,f2403]) ).
fof(f2405,plain,
( ~ sQ76_spl
| e16 = op1(e16,e16) ),
inference(forward_demodulation,[status(thm)],[f563,f2404]) ).
fof(f2406,plain,
( ~ sQ76_spl
| e16 = e10 ),
inference(forward_demodulation,[status(thm)],[f147,f2405]) ).
fof(f2407,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2406,f13]) ).
fof(f2408,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f2407]) ).
fof(f2470,plain,
( ~ sQ51_spl
| e12 = op1(j(e20),j(e20)) ),
inference(forward_demodulation,[status(thm)],[f485,f933]) ).
fof(f2471,plain,
( ~ sQ51_spl
| e12 = op1(e12,j(e20)) ),
inference(forward_demodulation,[status(thm)],[f485,f2470]) ).
fof(f2472,plain,
( ~ sQ51_spl
| e12 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f485,f2471]) ).
fof(f2473,plain,
( ~ sQ51_spl
| e12 = e15 ),
inference(forward_demodulation,[status(thm)],[f115,f2472]) ).
fof(f2474,plain,
( ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2473,f21]) ).
fof(f2475,plain,
~ sQ51_spl,
inference(contradiction_clause,[status(thm)],[f2474]) ).
fof(f2502,plain,
( ~ sQ3_spl
| h(e13) = op2(e23,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f334,f663]) ).
fof(f2503,plain,
( ~ sQ3_spl
| h(e13) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f334,f2502]) ).
fof(f2504,plain,
( ~ sQ3_spl
| h(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f172,f2503]) ).
fof(f2535,plain,
( ~ sQ3_spl
| h(e14) = op2(e23,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f2504,f802]) ).
fof(f2536,plain,
( ~ sQ3_spl
| h(e14) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f2504,f2535]) ).
fof(f2537,plain,
( ~ sQ3_spl
| h(e14) = e23 ),
inference(forward_demodulation,[status(thm)],[f172,f2536]) ).
fof(f2538,plain,
( ~ sQ3_spl
| sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2537,f423]) ).
fof(f2539,plain,
( ~ sQ3_spl
| sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2538]) ).
fof(f2540,plain,
$false,
inference(sat_refutation,[status(thm)],[f345,f939,f1198,f1388,f1391,f1608,f1653,f1710,f1823,f1860,f2003,f2044,f2194,f2227,f2246,f2277,f2298,f2317,f2346,f2359,f2377,f2408,f2475,f2539]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG204+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n018.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 13:03:49 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.15/5.40 % Drodi V4.1.1
% 0.15/5.46 % Refutation found
% 0.15/5.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.49 % Elapsed time: 0.094316 seconds
% 0.15/5.49 % CPU time: 0.468571 seconds
% 0.15/5.49 % Total memory used: 127.851 MB
% 0.15/5.49 % Net memory used: 127.617 MB
%------------------------------------------------------------------------------