%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG206+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 : n013.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 0.12s 0.48s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 67
% Syntax : Number of formulae : 539 ( 125 unt; 62 def)
% Number of atoms : 1794 (1224 equ)
% Maximal formula atoms : 210 ( 3 avg)
% Number of connectives : 1712 ( 457 ~; 682 |; 509 &)
% ( 62 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 126 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 64 ( 62 usr; 63 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(f2,axiom,
( e25 != e26
& e24 != e26
& e24 != e25
& e23 != e26
& e23 != e25
& e23 != e24
& e22 != e26
& e22 != e25
& e22 != e24
& e22 != e23
& e21 != e26
& e21 != e25
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e26
& e20 != e25
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op1(e16,e16) = e16
& op1(e16,e15) = e12
& op1(e16,e14) = e13
& op1(e16,e13) = e11
& op1(e16,e12) = e10
& op1(e16,e11) = e14
& op1(e16,e10) = e15
& op1(e15,e16) = e12
& op1(e15,e15) = e15
& op1(e15,e14) = e11
& op1(e15,e13) = e16
& op1(e15,e12) = e13
& op1(e15,e11) = e10
& op1(e15,e10) = e14
& op1(e14,e16) = e13
& op1(e14,e15) = e11
& op1(e14,e14) = e14
& op1(e14,e13) = e10
& op1(e14,e12) = e15
& op1(e14,e11) = e12
& op1(e14,e10) = e16
& op1(e13,e16) = e11
& op1(e13,e15) = e16
& op1(e13,e14) = e10
& op1(e13,e13) = e13
& op1(e13,e12) = e14
& op1(e13,e11) = e15
& op1(e13,e10) = e12
& op1(e12,e16) = e10
& op1(e12,e15) = e13
& op1(e12,e14) = e15
& op1(e12,e13) = e14
& op1(e12,e12) = e12
& op1(e12,e11) = e16
& op1(e12,e10) = e11
& op1(e11,e16) = e14
& op1(e11,e15) = e10
& op1(e11,e14) = e12
& op1(e11,e13) = e15
& op1(e11,e12) = e16
& op1(e11,e11) = e11
& op1(e11,e10) = e13
& op1(e10,e16) = e15
& op1(e10,e15) = e14
& op1(e10,e14) = e16
& op1(e10,e13) = e12
& op1(e10,e12) = e11
& op1(e10,e11) = e13
& op1(e10,e10) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op2(e26,e26) = e25
& op2(e26,e25) = e20
& op2(e26,e24) = e21
& op2(e26,e23) = e24
& op2(e26,e22) = e22
& op2(e26,e21) = e23
& op2(e26,e20) = e26
& op2(e25,e26) = e20
& op2(e25,e25) = e21
& op2(e25,e24) = e26
& op2(e25,e23) = e23
& op2(e25,e22) = e25
& op2(e25,e21) = e22
& op2(e25,e20) = e24
& op2(e24,e26) = e21
& op2(e24,e25) = e26
& op2(e24,e24) = e24
& op2(e24,e23) = e22
& op2(e24,e22) = e20
& op2(e24,e21) = e25
& op2(e24,e20) = e23
& op2(e23,e26) = e24
& op2(e23,e25) = e23
& op2(e23,e24) = e22
& op2(e23,e23) = e20
& op2(e23,e22) = e26
& op2(e23,e21) = e21
& op2(e23,e20) = e25
& op2(e22,e26) = e22
& op2(e22,e25) = e25
& op2(e22,e24) = e20
& op2(e22,e23) = e26
& op2(e22,e22) = e23
& op2(e22,e21) = e24
& op2(e22,e20) = e21
& op2(e21,e26) = e23
& op2(e21,e25) = e22
& op2(e21,e24) = e25
& op2(e21,e23) = e21
& op2(e21,e22) = e24
& op2(e21,e21) = e26
& op2(e21,e20) = e20
& op2(e20,e26) = e26
& op2(e20,e25) = e24
& op2(e20,e24) = e23
& op2(e20,e23) = e25
& op2(e20,e22) = e21
& op2(e20,e21) = e20
& op2(e20,e20) = e22 ),
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(f14,plain,
e11 != e12,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f20,plain,
e12 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
e13 != e14,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f30,plain,
e20 != e22,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f31,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f33,plain,
e20 != e25,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f38,plain,
e21 != e25,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f39,plain,
e21 != e26,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f40,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
e25 != e26,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f99,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f101,plain,
op1(e10,e12) = e11,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f106,plain,
op1(e11,e10) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f107,plain,
op1(e11,e11) = e11,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f109,plain,
op1(e11,e13) = e15,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f111,plain,
op1(e11,e15) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f114,plain,
op1(e12,e11) = e16,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f115,plain,
op1(e12,e12) = e12,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f123,plain,
op1(e13,e13) = e13,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
op1(e14,e12) = e15,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
op1(e14,e14) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f134,plain,
op1(e15,e10) = e14,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f135,plain,
op1(e15,e11) = e10,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f137,plain,
op1(e15,e13) = e16,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f139,plain,
op1(e15,e15) = e15,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f141,plain,
op1(e16,e10) = e15,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f147,plain,
op1(e16,e16) = e16,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f148,plain,
op2(e20,e20) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f156,plain,
op2(e21,e21) = e26,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f160,plain,
op2(e21,e25) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f161,plain,
op2(e21,e26) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f164,plain,
op2(e22,e22) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f166,plain,
op2(e22,e24) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f171,plain,
op2(e23,e22) = e26,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f172,plain,
op2(e23,e23) = e20,
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) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f189,plain,
op2(e25,e26) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f191,plain,
op2(e26,e21) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f196,plain,
op2(e26,e26) = e25,
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(f199,plain,
( h(e11) = e26
| h(e11) = e25
| h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f200,plain,
( h(e12) = e26
| h(e12) = e25
| h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f203,plain,
( h(e15) = e26
| h(e15) = e25
| h(e15) = e24
| h(e15) = e23
| h(e15) = e22
| h(e15) = e21
| h(e15) = e20 ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f210,plain,
( j(e25) = e16
| j(e25) = e15
| j(e25) = e14
| j(e25) = e13
| j(e25) = e12
| j(e25) = e11
| j(e25) = e10 ),
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(f214,plain,
h(op1(e10,e12)) = op2(h(e10),h(e12)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f219,plain,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f220,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f222,plain,
h(op1(e11,e13)) = op2(h(e11),h(e13)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f224,plain,
h(op1(e11,e15)) = op2(h(e11),h(e15)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f227,plain,
h(op1(e12,e11)) = op2(h(e12),h(e11)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f228,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
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(f242,plain,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
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(f247,plain,
h(op1(e15,e10)) = op2(h(e15),h(e10)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f248,plain,
h(op1(e15,e11)) = op2(h(e15),h(e11)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f250,plain,
h(op1(e15,e13)) = op2(h(e15),h(e13)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f252,plain,
h(op1(e15,e15)) = op2(h(e15),h(e15)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f254,plain,
h(op1(e16,e10)) = op2(h(e16),h(e10)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f260,plain,
h(op1(e16,e16)) = op2(h(e16),h(e16)),
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(f273,plain,
j(op2(e21,e25)) = op1(j(e21),j(e25)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f274,plain,
j(op2(e21,e26)) = op1(j(e21),j(e26)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f284,plain,
j(op2(e23,e22)) = op1(j(e23),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(f301,plain,
j(op2(e25,e25)) = op1(j(e25),j(e25)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f302,plain,
j(op2(e25,e26)) = op1(j(e25),j(e26)),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f304,plain,
j(op2(e26,e21)) = op1(j(e26),j(e21)),
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(f310,plain,
h(j(e20)) = e20,
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f311,plain,
h(j(e21)) = e21,
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f313,plain,
h(j(e23)) = e23,
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f315,plain,
h(j(e25)) = e25,
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f316,plain,
h(j(e26)) = e26,
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f318,plain,
j(h(e11)) = e11,
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(f321,plain,
j(h(e14)) = e14,
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f322,plain,
j(h(e15)) = e15,
inference(cnf_transformation,[status(thm)],[f197]) ).
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(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(f346,definition,
( sQ7_spl
<=> h(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ7_spl
| h(e11) = e20 ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,definition,
( sQ8_spl
<=> h(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ8_spl
| h(e11) = e21 ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,definition,
( sQ9_spl
<=> h(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f353,plain,
( ~ sQ9_spl
| h(e11) = e22 ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,definition,
( sQ10_spl
<=> h(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( ~ sQ10_spl
| h(e11) = e23 ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,definition,
( sQ11_spl
<=> h(e11) = e24 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( ~ sQ11_spl
| h(e11) = e24 ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,definition,
( sQ12_spl
<=> h(e11) = e25 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ12_spl
| h(e11) = e25 ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,definition,
( sQ13_spl
<=> h(e11) = e26 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ13_spl
| h(e11) = e26 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,plain,
( sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f199,f346,f349,f352,f355,f358,f361,f364]) ).
fof(f368,definition,
( sQ14_spl
<=> h(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( ~ sQ14_spl
| h(e12) = e20 ),
inference(component_clause,[status(thm)],[f368]) ).
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(f374,definition,
( sQ16_spl
<=> h(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( ~ sQ16_spl
| h(e12) = e22 ),
inference(component_clause,[status(thm)],[f374]) ).
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(f380,definition,
( sQ18_spl
<=> h(e12) = e24 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ18_spl
| h(e12) = e24 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ19_spl
<=> h(e12) = e25 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ19_spl
| h(e12) = e25 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
( sQ20_spl
<=> h(e12) = e26 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( sQ20_spl
| sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f200,f368,f371,f374,f377,f380,f383,f386]) ).
fof(f390,definition,
( sQ21_spl
<=> h(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f391,plain,
( ~ sQ21_spl
| h(e13) = e20 ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,definition,
( sQ22_spl
<=> h(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( ~ sQ22_spl
| h(e13) = e21 ),
inference(component_clause,[status(thm)],[f393]) ).
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(f402,definition,
( sQ25_spl
<=> h(e13) = e24 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ25_spl
| h(e13) = e24 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f404,plain,
( sQ25_spl
| h(e13) != e24 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f412,definition,
( sQ28_spl
<=> h(e14) = e20 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( ~ sQ28_spl
| h(e14) = e20 ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f418,definition,
( sQ30_spl
<=> h(e14) = e22 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ30_spl
| h(e14) = e22 ),
inference(component_clause,[status(thm)],[f418]) ).
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(f424,definition,
( sQ32_spl
<=> h(e14) = e24 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ32_spl
| h(e14) = e24 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f426,plain,
( sQ32_spl
| h(e14) != e24 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ33_spl
<=> h(e14) = e25 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ33_spl
| h(e14) = e25 ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ34_spl
<=> h(e14) = e26 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ34_spl
| h(e14) = e26 ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f434,definition,
( sQ35_spl
<=> h(e15) = e20 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ35_spl
| h(e15) = e20 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ36_spl
<=> h(e15) = e21 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ36_spl
| h(e15) = e21 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ37_spl
<=> h(e15) = e22 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ37_spl
| h(e15) = e22 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,definition,
( sQ38_spl
<=> h(e15) = e23 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ38_spl
| h(e15) = e23 ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ39_spl
<=> h(e15) = e24 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ39_spl
| h(e15) = e24 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,definition,
( sQ40_spl
<=> h(e15) = e25 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ40_spl
| h(e15) = e25 ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ41_spl
<=> h(e15) = e26 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ41_spl
| h(e15) = e26 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( sQ41_spl
| sQ40_spl
| sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f203,f434,f437,f440,f443,f446,f449,f452]) ).
fof(f456,definition,
( sQ42_spl
<=> h(e16) = e20 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ42_spl
| h(e16) = e20 ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f458,plain,
( sQ42_spl
| h(e16) != e20 ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f462,definition,
( sQ44_spl
<=> h(e16) = e22 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ44_spl
| h(e16) = e22 ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f471,definition,
( sQ47_spl
<=> h(e16) = e25 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ47_spl
| h(e16) = e25 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f481,definition,
( sQ50_spl
<=> j(e20) = e11 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ50_spl
| j(e20) = e11 ),
inference(component_clause,[status(thm)],[f481]) ).
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(f489,plain,
( sQ52_spl
| j(e20) != e13 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ53_spl
<=> j(e20) = e14 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ53_spl
| j(e20) = e14 ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f492,plain,
( sQ53_spl
| j(e20) != e14 ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f500,definition,
( sQ56_spl
<=> j(e21) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ56_spl
| j(e21) = e10 ),
inference(component_clause,[status(thm)],[f500]) ).
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(f534,definition,
( sQ67_spl
<=> j(e22) = e14 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( ~ sQ67_spl
| j(e22) = e14 ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f536,plain,
( sQ67_spl
| j(e22) != e14 ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f547,definition,
( sQ71_spl
<=> j(e23) = e11 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( ~ sQ71_spl
| j(e23) = e11 ),
inference(component_clause,[status(thm)],[f547]) ).
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(f556,definition,
( sQ74_spl
<=> j(e23) = e14 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f557,plain,
( ~ sQ74_spl
| j(e23) = e14 ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f559,definition,
( sQ75_spl
<=> j(e23) = e15 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f560,plain,
( ~ sQ75_spl
| j(e23) = e15 ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f569,definition,
( sQ78_spl
<=> j(e24) = e11 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f570,plain,
( ~ sQ78_spl
| j(e24) = e11 ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,definition,
( sQ79_spl
<=> j(e24) = e12 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( ~ sQ79_spl
| j(e24) = e12 ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,definition,
( sQ80_spl
<=> j(e24) = e13 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( ~ sQ80_spl
| j(e24) = e13 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,definition,
( sQ81_spl
<=> j(e24) = e14 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f579,plain,
( ~ sQ81_spl
| j(e24) = e14 ),
inference(component_clause,[status(thm)],[f578]) ).
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(f591,definition,
( sQ85_spl
<=> j(e25) = e11 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f592,plain,
( ~ sQ85_spl
| j(e25) = e11 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f593,plain,
( sQ85_spl
| j(e25) != e11 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,definition,
( sQ86_spl
<=> j(e25) = e12 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f595,plain,
( ~ sQ86_spl
| j(e25) = e12 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f596,plain,
( sQ86_spl
| j(e25) != e12 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,definition,
( sQ87_spl
<=> j(e25) = e13 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ87_spl
| j(e25) = e13 ),
inference(component_clause,[status(thm)],[f597]) ).
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(f603,definition,
( sQ89_spl
<=> j(e25) = e15 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ89_spl
| j(e25) = e15 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,definition,
( sQ90_spl
<=> j(e25) = e16 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( ~ sQ90_spl
| j(e25) = e16 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,plain,
( sQ90_spl
| sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f210,f588,f591,f594,f597,f600,f603,f606]) ).
fof(f613,definition,
( sQ92_spl
<=> j(e26) = e11 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f614,plain,
( ~ sQ92_spl
| j(e26) = e11 ),
inference(component_clause,[status(thm)],[f613]) ).
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(f622,definition,
( sQ95_spl
<=> j(e26) = e14 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f623,plain,
( ~ sQ95_spl
| j(e26) = e14 ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f632,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[status(thm)],[f99,f212]) ).
fof(f634,plain,
h(e11) = op2(h(e10),h(e12)),
inference(forward_demodulation,[status(thm)],[f101,f214]) ).
fof(f639,plain,
h(e13) = op2(h(e11),h(e10)),
inference(forward_demodulation,[status(thm)],[f106,f219]) ).
fof(f640,plain,
h(e11) = op2(h(e11),h(e11)),
inference(forward_demodulation,[status(thm)],[f107,f220]) ).
fof(f642,plain,
h(e15) = op2(h(e11),h(e13)),
inference(forward_demodulation,[status(thm)],[f109,f222]) ).
fof(f644,plain,
h(e10) = op2(h(e11),h(e15)),
inference(forward_demodulation,[status(thm)],[f111,f224]) ).
fof(f647,plain,
h(e16) = op2(h(e12),h(e11)),
inference(forward_demodulation,[status(thm)],[f114,f227]) ).
fof(f648,plain,
h(e12) = op2(h(e12),h(e12)),
inference(forward_demodulation,[status(thm)],[f115,f228]) ).
fof(f656,plain,
h(e13) = op2(h(e13),h(e13)),
inference(forward_demodulation,[status(thm)],[f123,f236]) ).
fof(f662,plain,
h(e15) = op2(h(e14),h(e12)),
inference(forward_demodulation,[status(thm)],[f129,f242]) ).
fof(f664,plain,
h(e14) = op2(h(e14),h(e14)),
inference(forward_demodulation,[status(thm)],[f131,f244]) ).
fof(f667,plain,
h(e14) = op2(h(e15),h(e10)),
inference(forward_demodulation,[status(thm)],[f134,f247]) ).
fof(f668,plain,
h(e10) = op2(h(e15),h(e11)),
inference(forward_demodulation,[status(thm)],[f135,f248]) ).
fof(f670,plain,
h(e16) = op2(h(e15),h(e13)),
inference(forward_demodulation,[status(thm)],[f137,f250]) ).
fof(f672,plain,
h(e15) = op2(h(e15),h(e15)),
inference(forward_demodulation,[status(thm)],[f139,f252]) ).
fof(f674,plain,
h(e15) = op2(h(e16),h(e10)),
inference(forward_demodulation,[status(thm)],[f141,f254]) ).
fof(f680,plain,
h(e16) = op2(h(e16),h(e16)),
inference(forward_demodulation,[status(thm)],[f147,f260]) ).
fof(f689,plain,
j(e26) = op1(j(e21),j(e21)),
inference(forward_demodulation,[status(thm)],[f156,f269]) ).
fof(f693,plain,
j(e22) = op1(j(e21),j(e25)),
inference(forward_demodulation,[status(thm)],[f160,f273]) ).
fof(f694,plain,
j(e23) = op1(j(e21),j(e26)),
inference(forward_demodulation,[status(thm)],[f161,f274]) ).
fof(f704,plain,
j(e26) = op1(j(e23),j(e22)),
inference(forward_demodulation,[status(thm)],[f171,f284]) ).
fof(f705,plain,
j(e20) = op1(j(e23),j(e23)),
inference(forward_demodulation,[status(thm)],[f172,f285]) ).
fof(f721,plain,
j(e21) = op1(j(e25),j(e25)),
inference(forward_demodulation,[status(thm)],[f188,f301]) ).
fof(f722,plain,
j(e20) = op1(j(e25),j(e26)),
inference(forward_demodulation,[status(thm)],[f189,f302]) ).
fof(f724,plain,
j(e23) = op1(j(e26),j(e21)),
inference(forward_demodulation,[status(thm)],[f191,f304]) ).
fof(f729,plain,
j(e25) = op1(j(e26),j(e26)),
inference(forward_demodulation,[status(thm)],[f196,f309]) ).
fof(f758,plain,
( ~ sQ90_spl
| h(e16) = e25 ),
inference(backward_demodulation,[status(thm)],[f607,f315]) ).
fof(f794,plain,
( ~ sQ80_spl
| ~ sQ81_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f579,f576]) ).
fof(f795,plain,
( ~ sQ80_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f794,f23]) ).
fof(f796,plain,
( ~ sQ80_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f795]) ).
fof(f797,plain,
( ~ sQ78_spl
| ~ sQ79_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f573,f570]) ).
fof(f798,plain,
( ~ sQ78_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f797,f14]) ).
fof(f799,plain,
( ~ sQ78_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f798]) ).
fof(f821,plain,
( ~ sQ66_spl
| ~ sQ67_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f535,f532]) ).
fof(f822,plain,
( ~ sQ66_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f821,f23]) ).
fof(f823,plain,
( ~ sQ66_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f822]) ).
fof(f879,plain,
( ~ sQ41_spl
| h(e15) = op2(h(e15),e26) ),
inference(backward_demodulation,[status(thm)],[f453,f672]) ).
fof(f885,plain,
( ~ sQ41_spl
| e26 = op2(h(e14),h(e12)) ),
inference(backward_demodulation,[status(thm)],[f453,f662]) ).
fof(f909,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| e26 = e25 ),
inference(forward_demodulation,[status(thm)],[f431,f428]) ).
fof(f910,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f909,f49]) ).
fof(f911,plain,
( ~ sQ33_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f910]) ).
fof(f946,plain,
( ~ sQ13_spl
| j(e26) = e11 ),
inference(backward_demodulation,[status(thm)],[f365,f318]) ).
fof(f1017,plain,
( ~ sQ84_spl
| h(e10) = e25 ),
inference(forward_demodulation,[status(thm)],[f589,f315]) ).
fof(f1126,plain,
( ~ sQ56_spl
| h(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f501,f311]) ).
fof(f1147,plain,
( ~ sQ42_spl
| e20 = op2(h(e16),h(e16)) ),
inference(forward_demodulation,[status(thm)],[f457,f680]) ).
fof(f1148,plain,
( ~ sQ42_spl
| e20 = op2(e20,h(e16)) ),
inference(forward_demodulation,[status(thm)],[f457,f1147]) ).
fof(f1149,plain,
( ~ sQ42_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f457,f1148]) ).
fof(f1150,plain,
( ~ sQ42_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f148,f1149]) ).
fof(f1151,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1150,f30]) ).
fof(f1152,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f1151]) ).
fof(f1203,plain,
( ~ sQ35_spl
| e20 = op2(h(e15),h(e15)) ),
inference(forward_demodulation,[status(thm)],[f435,f672]) ).
fof(f1204,plain,
( ~ sQ35_spl
| e20 = op2(e20,h(e15)) ),
inference(forward_demodulation,[status(thm)],[f435,f1203]) ).
fof(f1205,plain,
( ~ sQ35_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f435,f1204]) ).
fof(f1206,plain,
( ~ sQ35_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f148,f1205]) ).
fof(f1207,plain,
( ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1206,f30]) ).
fof(f1208,plain,
~ sQ35_spl,
inference(contradiction_clause,[status(thm)],[f1207]) ).
fof(f1245,plain,
( ~ sQ28_spl
| e20 = op2(h(e14),h(e14)) ),
inference(forward_demodulation,[status(thm)],[f413,f664]) ).
fof(f1246,plain,
( ~ sQ28_spl
| e20 = op2(e20,h(e14)) ),
inference(forward_demodulation,[status(thm)],[f413,f1245]) ).
fof(f1247,plain,
( ~ sQ28_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f413,f1246]) ).
fof(f1248,plain,
( ~ sQ28_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f148,f1247]) ).
fof(f1249,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1248,f30]) ).
fof(f1250,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f1249]) ).
fof(f1258,plain,
( ~ sQ7_spl
| e20 = op2(h(e11),h(e11)) ),
inference(forward_demodulation,[status(thm)],[f347,f640]) ).
fof(f1259,plain,
( ~ sQ7_spl
| e20 = op2(e20,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f347,f1258]) ).
fof(f1260,plain,
( ~ sQ7_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f347,f1259]) ).
fof(f1261,plain,
( ~ sQ7_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f148,f1260]) ).
fof(f1262,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1261,f30]) ).
fof(f1263,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f1262]) ).
fof(f1277,plain,
( ~ sQ84_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f1017,f339,f588]) ).
fof(f1319,plain,
( ~ sQ15_spl
| h(e12) = op2(h(e12),e21) ),
inference(backward_demodulation,[status(thm)],[f372,f648]) ).
fof(f1329,plain,
( ~ sQ22_spl
| h(e13) = op2(h(e13),e21) ),
inference(backward_demodulation,[status(thm)],[f394,f656]) ).
fof(f1330,plain,
( ~ sQ22_spl
| j(e21) = e13 ),
inference(backward_demodulation,[status(thm)],[f394,f320]) ).
fof(f1396,plain,
( ~ sQ47_spl
| e25 = op2(h(e16),h(e16)) ),
inference(forward_demodulation,[status(thm)],[f472,f680]) ).
fof(f1397,plain,
( ~ sQ47_spl
| e25 = op2(e25,h(e16)) ),
inference(forward_demodulation,[status(thm)],[f472,f1396]) ).
fof(f1398,plain,
( ~ sQ47_spl
| e25 = op2(e25,e25) ),
inference(forward_demodulation,[status(thm)],[f472,f1397]) ).
fof(f1399,plain,
( ~ sQ47_spl
| e25 = e21 ),
inference(forward_demodulation,[status(thm)],[f188,f1398]) ).
fof(f1400,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1399,f38]) ).
fof(f1401,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f1400]) ).
fof(f1487,plain,
( ~ sQ85_spl
| h(e11) = e25 ),
inference(backward_demodulation,[status(thm)],[f592,f315]) ).
fof(f1503,plain,
( ~ sQ92_spl
| e11 = op1(j(e23),j(e22)) ),
inference(backward_demodulation,[status(thm)],[f614,f704]) ).
fof(f1522,plain,
( ~ sQ9_spl
| h(e11) = op2(h(e11),e22) ),
inference(backward_demodulation,[status(thm)],[f353,f640]) ).
fof(f1530,plain,
( ~ sQ14_spl
| e20 = op2(h(e12),h(e12)) ),
inference(forward_demodulation,[status(thm)],[f369,f648]) ).
fof(f1531,plain,
( ~ sQ14_spl
| e20 = op2(e20,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f369,f1530]) ).
fof(f1532,plain,
( ~ sQ14_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f369,f1531]) ).
fof(f1533,plain,
( ~ sQ14_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f148,f1532]) ).
fof(f1534,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1533,f30]) ).
fof(f1535,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f1534]) ).
fof(f1548,plain,
( ~ sQ23_spl
| j(e22) = e13 ),
inference(backward_demodulation,[status(thm)],[f397,f320]) ).
fof(f1557,plain,
( ~ sQ30_spl
| h(e14) = op2(h(e14),e22) ),
inference(backward_demodulation,[status(thm)],[f419,f664]) ).
fof(f1576,plain,
( ~ sQ89_spl
| j(e21) = op1(e15,j(e25)) ),
inference(forward_demodulation,[status(thm)],[f604,f721]) ).
fof(f1577,plain,
( ~ sQ89_spl
| j(e21) = op1(e15,e15) ),
inference(forward_demodulation,[status(thm)],[f604,f1576]) ).
fof(f1583,plain,
( ~ sQ89_spl
| h(e15) = e21 ),
inference(backward_demodulation,[status(thm)],[f1586,f311]) ).
fof(f1586,plain,
( ~ sQ89_spl
| j(e21) = e15 ),
inference(forward_demodulation,[status(thm)],[f139,f1577]) ).
fof(f1608,plain,
( ~ sQ67_spl
| ~ sQ65_spl
| e12 = e14 ),
inference(forward_demodulation,[status(thm)],[f529,f535]) ).
fof(f1609,plain,
( ~ sQ67_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1608,f20]) ).
fof(f1610,plain,
( ~ sQ67_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1609]) ).
fof(f1614,plain,
( ~ sQ72_spl
| h(e12) = e23 ),
inference(backward_demodulation,[status(thm)],[f551,f313]) ).
fof(f1647,plain,
( ~ sQ1_spl
| e21 = op2(h(e11),h(e15)) ),
inference(backward_demodulation,[status(thm)],[f328,f644]) ).
fof(f1656,plain,
( ~ sQ1_spl
| h(e10) = op2(h(e10),e21) ),
inference(backward_demodulation,[status(thm)],[f328,f632]) ).
fof(f1685,plain,
( ~ sQ86_spl
| h(e12) = e25 ),
inference(backward_demodulation,[status(thm)],[f595,f315]) ).
fof(f1711,plain,
( ~ sQ10_spl
| h(e11) = op2(h(e11),e23) ),
inference(backward_demodulation,[status(thm)],[f356,f640]) ).
fof(f1759,plain,
( ~ sQ17_spl
| h(e12) = op2(h(e12),e23) ),
inference(backward_demodulation,[status(thm)],[f378,f648]) ).
fof(f1779,plain,
( ~ sQ31_spl
| j(e23) = e14 ),
inference(backward_demodulation,[status(thm)],[f422,f321]) ).
fof(f1817,plain,
( ~ sQ90_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f758,f471,f606]) ).
fof(f1890,plain,
( ~ sQ38_spl
| j(e23) = e15 ),
inference(forward_demodulation,[status(thm)],[f444,f322]) ).
fof(f1896,plain,
( ~ sQ93_spl
| j(e25) = op1(e12,j(e26)) ),
inference(forward_demodulation,[status(thm)],[f617,f729]) ).
fof(f1897,plain,
( ~ sQ93_spl
| j(e25) = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f617,f1896]) ).
fof(f1906,plain,
( ~ sQ93_spl
| j(e25) = e12 ),
inference(forward_demodulation,[status(thm)],[f115,f1897]) ).
fof(f1918,plain,
( sQ86_spl
| ~ sQ93_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f1906,f596]) ).
fof(f1919,plain,
( sQ86_spl
| ~ sQ93_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1918]) ).
fof(f1920,plain,
( sQ86_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f1919]) ).
fof(f1921,plain,
( ~ sQ10_spl
| e23 = op2(h(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f356,f1711]) ).
fof(f1922,plain,
( ~ sQ10_spl
| e23 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f356,f1921]) ).
fof(f1923,plain,
( ~ sQ10_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f172,f1922]) ).
fof(f1924,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1923,f31]) ).
fof(f1925,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f1924]) ).
fof(f1927,plain,
( ~ sQ17_spl
| e23 = op2(h(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f378,f1759]) ).
fof(f1928,plain,
( ~ sQ17_spl
| e23 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f378,f1927]) ).
fof(f1929,plain,
( ~ sQ17_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f172,f1928]) ).
fof(f1930,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1929,f31]) ).
fof(f1931,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f1930]) ).
fof(f1940,plain,
( ~ sQ52_spl
| h(e13) = e20 ),
inference(backward_demodulation,[status(thm)],[f488,f310]) ).
fof(f2010,plain,
( ~ sQ32_spl
| j(e24) = e14 ),
inference(backward_demodulation,[status(thm)],[f425,f321]) ).
fof(f2063,plain,
( ~ sQ56_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f1126,f327,f500]) ).
fof(f2084,plain,
( ~ sQ36_spl
| j(e21) = e15 ),
inference(backward_demodulation,[status(thm)],[f438,f322]) ).
fof(f2158,plain,
( ~ sQ18_spl
| j(e24) = e12 ),
inference(backward_demodulation,[status(thm)],[f381,f319]) ).
fof(f2160,plain,
( ~ sQ72_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1614,f377,f550]) ).
fof(f2254,plain,
( ~ sQ25_spl
| j(e24) = e13 ),
inference(backward_demodulation,[status(thm)],[f403,f320]) ).
fof(f2292,plain,
( ~ sQ1_spl
| e21 = h(e10) ),
inference(forward_demodulation,[status(thm)],[f644,f1647]) ).
fof(f2301,plain,
( ~ sQ1_spl
| e21 = op2(h(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f2292,f1656]) ).
fof(f2302,plain,
( ~ sQ1_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2292,f2301]) ).
fof(f2303,plain,
( ~ sQ1_spl
| e21 = e26 ),
inference(forward_demodulation,[status(thm)],[f156,f2302]) ).
fof(f2304,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2303,f39]) ).
fof(f2305,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f2304]) ).
fof(f2313,plain,
( ~ sQ37_spl
| h(e15) = op2(h(e15),e22) ),
inference(backward_demodulation,[status(thm)],[f441,f672]) ).
fof(f2335,plain,
( ~ sQ87_spl
| j(e20) = op1(e13,j(e26)) ),
inference(forward_demodulation,[status(thm)],[f598,f722]) ).
fof(f2364,plain,
( ~ sQ53_spl
| h(e14) = e20 ),
inference(backward_demodulation,[status(thm)],[f491,f310]) ).
fof(f2388,plain,
( ~ sQ8_spl
| e21 = op2(h(e10),h(e12)) ),
inference(backward_demodulation,[status(thm)],[f350,f634]) ).
fof(f2397,plain,
( ~ sQ8_spl
| h(e11) = op2(h(e11),e21) ),
inference(backward_demodulation,[status(thm)],[f350,f640]) ).
fof(f2416,plain,
( ~ sQ25_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f2254,f575,f402]) ).
fof(f2464,plain,
( ~ sQ87_spl
| j(e21) = op1(e13,j(e25)) ),
inference(forward_demodulation,[status(thm)],[f598,f721]) ).
fof(f2465,plain,
( ~ sQ87_spl
| j(e21) = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f598,f2464]) ).
fof(f2466,plain,
( ~ sQ87_spl
| j(e21) = e13 ),
inference(forward_demodulation,[status(thm)],[f123,f2465]) ).
fof(f2489,plain,
( ~ sQ95_spl
| h(e14) = e26 ),
inference(backward_demodulation,[status(thm)],[f623,f316]) ).
fof(f2505,plain,
( ~ sQ37_spl
| e22 = op2(h(e15),e22) ),
inference(forward_demodulation,[status(thm)],[f441,f2313]) ).
fof(f2506,plain,
( ~ sQ37_spl
| e22 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f441,f2505]) ).
fof(f2507,plain,
( ~ sQ37_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f164,f2506]) ).
fof(f2508,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2507,f40]) ).
fof(f2509,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f2508]) ).
fof(f2510,plain,
( ~ sQ53_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f2364,f412,f490]) ).
fof(f2518,plain,
( ~ sQ30_spl
| h(e14) = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f419,f1557]) ).
fof(f2563,plain,
( ~ sQ71_spl
| h(e11) = e23 ),
inference(backward_demodulation,[status(thm)],[f548,f313]) ).
fof(f2608,plain,
( ~ sQ22_spl
| h(e13) = e21 ),
inference(backward_demodulation,[status(thm)],[f1330,f311]) ).
fof(f2612,plain,
( ~ sQ22_spl
| h(e13) = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f394,f1329]) ).
fof(f2678,plain,
( ~ sQ5_spl
| h(e10) = op2(h(e10),e25) ),
inference(backward_demodulation,[status(thm)],[f340,f632]) ).
fof(f2700,plain,
( ~ sQ38_spl
| h(e15) = op2(h(e15),e23) ),
inference(backward_demodulation,[status(thm)],[f444,f672]) ).
fof(f2711,plain,
( ~ sQ38_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f1890,f559,f443]) ).
fof(f2720,plain,
( ~ sQ31_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f1779,f556,f421]) ).
fof(f2745,plain,
( ~ sQ50_spl
| h(e11) = e20 ),
inference(backward_demodulation,[status(thm)],[f482,f310]) ).
fof(f2882,plain,
( ~ sQ5_spl
| e25 = op2(h(e10),e25) ),
inference(forward_demodulation,[status(thm)],[f340,f2678]) ).
fof(f2883,plain,
( ~ sQ5_spl
| e25 = op2(e25,e25) ),
inference(forward_demodulation,[status(thm)],[f340,f2882]) ).
fof(f2884,plain,
( ~ sQ5_spl
| e25 = e21 ),
inference(forward_demodulation,[status(thm)],[f188,f2883]) ).
fof(f2885,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2884,f38]) ).
fof(f2886,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f2885]) ).
fof(f2888,plain,
( ~ sQ19_spl
| e25 = op2(h(e12),h(e12)) ),
inference(forward_demodulation,[status(thm)],[f384,f648]) ).
fof(f2889,plain,
( ~ sQ19_spl
| e25 = op2(e25,h(e12)) ),
inference(forward_demodulation,[status(thm)],[f384,f2888]) ).
fof(f2890,plain,
( ~ sQ19_spl
| e25 = op2(e25,e25) ),
inference(forward_demodulation,[status(thm)],[f384,f2889]) ).
fof(f2891,plain,
( ~ sQ19_spl
| e25 = e21 ),
inference(forward_demodulation,[status(thm)],[f188,f2890]) ).
fof(f2892,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2891,f38]) ).
fof(f2893,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f2892]) ).
fof(f2918,plain,
( ~ sQ23_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f1548,f531,f396]) ).
fof(f2993,plain,
( ~ sQ36_spl
| j(e26) = op1(e15,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f2084,f689]) ).
fof(f2994,plain,
( ~ sQ36_spl
| j(e26) = op1(e15,e15) ),
inference(forward_demodulation,[status(thm)],[f2084,f2993]) ).
fof(f2998,plain,
( ~ sQ36_spl
| j(e26) = e15 ),
inference(forward_demodulation,[status(thm)],[f139,f2994]) ).
fof(f3002,plain,
( ~ sQ36_spl
| h(e15) = e26 ),
inference(forward_demodulation,[status(thm)],[f2998,f316]) ).
fof(f3003,plain,
( ~ sQ36_spl
| e21 = e26 ),
inference(forward_demodulation,[status(thm)],[f438,f3002]) ).
fof(f3004,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3003,f39]) ).
fof(f3005,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f3004]) ).
fof(f3023,plain,
( ~ sQ74_spl
| j(e20) = op1(e14,j(e23)) ),
inference(forward_demodulation,[status(thm)],[f557,f705]) ).
fof(f3024,plain,
( ~ sQ74_spl
| j(e20) = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f557,f3023]) ).
fof(f3025,plain,
( ~ sQ74_spl
| j(e20) = e14 ),
inference(forward_demodulation,[status(thm)],[f131,f3024]) ).
fof(f3026,plain,
( ~ sQ74_spl
| sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3025,f492]) ).
fof(f3027,plain,
( ~ sQ74_spl
| sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f3026]) ).
fof(f3042,plain,
( ~ sQ51_spl
| h(e12) = e20 ),
inference(backward_demodulation,[status(thm)],[f485,f310]) ).
fof(f3057,plain,
( ~ sQ11_spl
| j(e24) = e11 ),
inference(backward_demodulation,[status(thm)],[f359,f318]) ).
fof(f3115,plain,
( ~ sQ86_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f1685,f383,f594]) ).
fof(f3159,plain,
( ~ sQ16_spl
| h(e16) = op2(e22,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f375,f647]) ).
fof(f3160,plain,
( ~ sQ16_spl
| ~ sQ11_spl
| h(e16) = op2(e22,e24) ),
inference(forward_demodulation,[status(thm)],[f359,f3159]) ).
fof(f3161,plain,
( ~ sQ16_spl
| ~ sQ11_spl
| h(e16) = e20 ),
inference(forward_demodulation,[status(thm)],[f166,f3160]) ).
fof(f3162,plain,
( sQ42_spl
| ~ sQ16_spl
| ~ sQ11_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3161,f458]) ).
fof(f3163,plain,
( sQ42_spl
| ~ sQ16_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3162]) ).
fof(f3164,plain,
( sQ42_spl
| ~ sQ16_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f3163]) ).
fof(f3176,plain,
( ~ sQ21_spl
| h(e13) = op2(h(e13),e20) ),
inference(backward_demodulation,[status(thm)],[f391,f656]) ).
fof(f3217,plain,
( ~ sQ40_spl
| j(e25) = e15 ),
inference(backward_demodulation,[status(thm)],[f450,f322]) ).
fof(f3230,plain,
( ~ sQ32_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f2010,f578,f424]) ).
fof(f3327,plain,
( ~ sQ85_spl
| e25 = op2(h(e11),h(e11)) ),
inference(forward_demodulation,[status(thm)],[f1487,f640]) ).
fof(f3328,plain,
( ~ sQ85_spl
| e25 = op2(e25,h(e11)) ),
inference(forward_demodulation,[status(thm)],[f1487,f3327]) ).
fof(f3329,plain,
( ~ sQ85_spl
| e25 = op2(e25,e25) ),
inference(forward_demodulation,[status(thm)],[f1487,f3328]) ).
fof(f3330,plain,
( ~ sQ85_spl
| e25 = e21 ),
inference(forward_demodulation,[status(thm)],[f188,f3329]) ).
fof(f3331,plain,
( ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3330,f38]) ).
fof(f3332,plain,
~ sQ85_spl,
inference(contradiction_clause,[status(thm)],[f3331]) ).
fof(f3349,plain,
( ~ sQ8_spl
| e21 = h(e11) ),
inference(forward_demodulation,[status(thm)],[f634,f2388]) ).
fof(f3351,plain,
( ~ sQ8_spl
| e21 = op2(h(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f3349,f2397]) ).
fof(f3352,plain,
( ~ sQ8_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f3349,f3351]) ).
fof(f3353,plain,
( ~ sQ8_spl
| e21 = e26 ),
inference(forward_demodulation,[status(thm)],[f156,f3352]) ).
fof(f3354,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3353,f39]) ).
fof(f3355,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f3354]) ).
fof(f3367,plain,
( ~ sQ18_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f2158,f572,f380]) ).
fof(f3407,plain,
( ~ sQ21_spl
| e20 = op2(h(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f391,f3176]) ).
fof(f3408,plain,
( ~ sQ21_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f391,f3407]) ).
fof(f3409,plain,
( ~ sQ21_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f148,f3408]) ).
fof(f3410,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3409,f30]) ).
fof(f3411,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f3410]) ).
fof(f3431,plain,
( ~ sQ52_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1940,f390,f487]) ).
fof(f3481,plain,
( ~ sQ41_spl
| h(e15) = op2(e26,e26) ),
inference(backward_demodulation,[status(thm)],[f3491,f879]) ).
fof(f3485,plain,
( ~ sQ41_spl
| h(e15) = op2(h(e15),e26) ),
inference(backward_demodulation,[status(thm)],[f3491,f672]) ).
fof(f3491,plain,
( ~ sQ41_spl
| e26 = h(e15) ),
inference(forward_demodulation,[status(thm)],[f662,f885]) ).
fof(f3527,plain,
( ~ sQ75_spl
| h(e15) = e23 ),
inference(backward_demodulation,[status(thm)],[f560,f313]) ).
fof(f3569,plain,
( ~ sQ89_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1583,f437,f603]) ).
fof(f3593,plain,
( ~ sQ12_spl
| h(e11) = op2(h(e11),e25) ),
inference(backward_demodulation,[status(thm)],[f362,f640]) ).
fof(f3625,plain,
( ~ sQ15_spl
| e21 = op2(h(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f372,f1319]) ).
fof(f3626,plain,
( ~ sQ15_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f372,f3625]) ).
fof(f3627,plain,
( ~ sQ15_spl
| e21 = e26 ),
inference(forward_demodulation,[status(thm)],[f156,f3626]) ).
fof(f3628,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3627,f39]) ).
fof(f3629,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f3628]) ).
fof(f3630,plain,
( ~ sQ71_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f2563,f355,f547]) ).
fof(f3678,plain,
( ~ sQ44_spl
| e22 = op2(h(e16),h(e16)) ),
inference(forward_demodulation,[status(thm)],[f463,f680]) ).
fof(f3679,plain,
( ~ sQ44_spl
| e22 = op2(e22,h(e16)) ),
inference(forward_demodulation,[status(thm)],[f463,f3678]) ).
fof(f3680,plain,
( ~ sQ44_spl
| e22 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f463,f3679]) ).
fof(f3681,plain,
( ~ sQ44_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f164,f3680]) ).
fof(f3682,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3681,f40]) ).
fof(f3683,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f3682]) ).
fof(f3689,plain,
( ~ sQ40_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f3217,f603,f449]) ).
fof(f3738,plain,
( ~ sQ92_spl
| e11 = j(e26) ),
inference(forward_demodulation,[status(thm)],[f704,f1503]) ).
fof(f3746,plain,
( ~ sQ92_spl
| j(e25) = op1(e11,j(e26)) ),
inference(forward_demodulation,[status(thm)],[f3738,f729]) ).
fof(f3747,plain,
( ~ sQ92_spl
| j(e25) = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f3738,f3746]) ).
fof(f3748,plain,
( ~ sQ92_spl
| j(e25) = e11 ),
inference(forward_demodulation,[status(thm)],[f107,f3747]) ).
fof(f3749,plain,
( ~ sQ92_spl
| sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3748,f593]) ).
fof(f3750,plain,
( ~ sQ92_spl
| sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f3749]) ).
fof(f3809,plain,
( ~ sQ12_spl
| e25 = op2(h(e11),e25) ),
inference(forward_demodulation,[status(thm)],[f362,f3593]) ).
fof(f3810,plain,
( ~ sQ12_spl
| e25 = op2(e25,e25) ),
inference(forward_demodulation,[status(thm)],[f362,f3809]) ).
fof(f3811,plain,
( ~ sQ12_spl
| e25 = e21 ),
inference(forward_demodulation,[status(thm)],[f188,f3810]) ).
fof(f3812,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3811,f38]) ).
fof(f3813,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f3812]) ).
fof(f3878,plain,
( ~ sQ87_spl
| j(e26) = op1(e13,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f2466,f689]) ).
fof(f3879,plain,
( ~ sQ87_spl
| j(e26) = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f2466,f3878]) ).
fof(f3891,plain,
( ~ sQ87_spl
| j(e26) = e13 ),
inference(forward_demodulation,[status(thm)],[f123,f3879]) ).
fof(f3892,plain,
( ~ sQ87_spl
| j(e23) = op1(e13,j(e26)) ),
inference(forward_demodulation,[status(thm)],[f2466,f694]) ).
fof(f3902,plain,
( ~ sQ87_spl
| j(e23) = j(e20) ),
inference(forward_demodulation,[status(thm)],[f2335,f3892]) ).
fof(f3903,plain,
( ~ sQ87_spl
| j(e20) = op1(j(e26),j(e21)) ),
inference(forward_demodulation,[status(thm)],[f3902,f724]) ).
fof(f3904,plain,
( ~ sQ87_spl
| j(e20) = op1(e13,j(e21)) ),
inference(forward_demodulation,[status(thm)],[f3891,f3903]) ).
fof(f3905,plain,
( ~ sQ87_spl
| j(e20) = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f2466,f3904]) ).
fof(f3906,plain,
( ~ sQ87_spl
| j(e20) = e13 ),
inference(forward_demodulation,[status(thm)],[f123,f3905]) ).
fof(f3907,plain,
( ~ sQ87_spl
| sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3906,f489]) ).
fof(f3908,plain,
( ~ sQ87_spl
| sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f3907]) ).
fof(f3936,plain,
( ~ sQ13_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f946,f613,f364]) ).
fof(f3969,plain,
( ~ sQ38_spl
| ~ sQ75_spl
| e23 = op2(h(e15),e23) ),
inference(forward_demodulation,[status(thm)],[f3527,f2700]) ).
fof(f3970,plain,
( ~ sQ38_spl
| ~ sQ75_spl
| e23 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f3527,f3969]) ).
fof(f3971,plain,
( ~ sQ38_spl
| ~ sQ75_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f172,f3970]) ).
fof(f3972,plain,
( ~ sQ38_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3971,f31]) ).
fof(f3973,plain,
( ~ sQ38_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f3972]) ).
fof(f3974,plain,
( ~ sQ9_spl
| e22 = op2(h(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f353,f1522]) ).
fof(f3975,plain,
( ~ sQ9_spl
| e22 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f353,f3974]) ).
fof(f3976,plain,
( ~ sQ9_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f164,f3975]) ).
fof(f3977,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3976,f40]) ).
fof(f3978,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f3977]) ).
fof(f4007,plain,
( ~ sQ51_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f3042,f368,f484]) ).
fof(f4096,plain,
( ~ sQ22_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2608,f2612]) ).
fof(f4097,plain,
( ~ sQ22_spl
| e21 = e26 ),
inference(forward_demodulation,[status(thm)],[f156,f4096]) ).
fof(f4098,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4097,f39]) ).
fof(f4099,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f4098]) ).
fof(f4110,plain,
( ~ sQ88_spl
| h(e14) = e25 ),
inference(backward_demodulation,[status(thm)],[f601,f315]) ).
fof(f4120,plain,
( ~ sQ41_spl
| h(e15) = e25 ),
inference(forward_demodulation,[status(thm)],[f196,f3481]) ).
fof(f4121,plain,
( ~ sQ41_spl
| e25 = op2(h(e15),e26) ),
inference(forward_demodulation,[status(thm)],[f4120,f3485]) ).
fof(f4122,plain,
( ~ sQ41_spl
| e25 = op2(e25,e26) ),
inference(forward_demodulation,[status(thm)],[f4120,f4121]) ).
fof(f4123,plain,
( ~ sQ41_spl
| e25 = e20 ),
inference(forward_demodulation,[status(thm)],[f189,f4122]) ).
fof(f4124,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4123,f33]) ).
fof(f4125,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f4124]) ).
fof(f4126,plain,
( ~ sQ30_spl
| h(e14) = e23 ),
inference(forward_demodulation,[status(thm)],[f164,f2518]) ).
fof(f4127,plain,
( ~ sQ30_spl
| sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4126,f423]) ).
fof(f4128,plain,
( ~ sQ30_spl
| sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f4127]) ).
fof(f4145,plain,
( ~ sQ11_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f3057,f569,f358]) ).
fof(f4171,plain,
( ~ sQ11_spl
| h(e13) = op2(e24,h(e10)) ),
inference(backward_demodulation,[status(thm)],[f359,f639]) ).
fof(f4176,plain,
( ~ sQ11_spl
| h(e10) = op2(h(e15),e24) ),
inference(backward_demodulation,[status(thm)],[f359,f668]) ).
fof(f4179,plain,
( ~ sQ11_spl
| h(e15) = op2(e24,h(e13)) ),
inference(backward_demodulation,[status(thm)],[f359,f642]) ).
fof(f4226,plain,
( ~ sQ50_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f2745,f346,f481]) ).
fof(f4274,plain,
( ~ sQ88_spl
| j(e21) = op1(e14,j(e25)) ),
inference(forward_demodulation,[status(thm)],[f601,f721]) ).
fof(f4275,plain,
( ~ sQ88_spl
| j(e21) = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f601,f4274]) ).
fof(f4286,plain,
( ~ sQ88_spl
| j(e21) = e14 ),
inference(forward_demodulation,[status(thm)],[f131,f4275]) ).
fof(f4296,plain,
( ~ sQ88_spl
| j(e22) = op1(e14,j(e25)) ),
inference(forward_demodulation,[status(thm)],[f4286,f693]) ).
fof(f4297,plain,
( ~ sQ88_spl
| j(e22) = op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f601,f4296]) ).
fof(f4301,plain,
( ~ sQ88_spl
| j(e22) = e14 ),
inference(forward_demodulation,[status(thm)],[f131,f4297]) ).
fof(f4303,plain,
( ~ sQ88_spl
| h(e14) = e21 ),
inference(forward_demodulation,[status(thm)],[f4286,f311]) ).
fof(f4304,plain,
( ~ sQ88_spl
| ~ sQ95_spl
| e26 = e21 ),
inference(forward_demodulation,[status(thm)],[f2489,f4303]) ).
fof(f4305,plain,
( ~ sQ88_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4304,f39]) ).
fof(f4306,plain,
( ~ sQ88_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f4305]) ).
fof(f4328,plain,
( ~ sQ88_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f4110,f427,f600]) ).
fof(f4333,plain,
( sQ67_spl
| ~ sQ88_spl
| e14 != e14 ),
inference(forward_demodulation,[status(thm)],[f4301,f536]) ).
fof(f4334,plain,
( sQ67_spl
| ~ sQ88_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4333]) ).
fof(f4335,plain,
( sQ67_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f4334]) ).
fof(f4340,plain,
( ~ sQ11_spl
| ~ sQ39_spl
| h(e10) = op2(e24,e24) ),
inference(forward_demodulation,[status(thm)],[f447,f4176]) ).
fof(f4345,plain,
( ~ sQ11_spl
| ~ sQ39_spl
| h(e10) = e24 ),
inference(forward_demodulation,[status(thm)],[f180,f4340]) ).
fof(f4349,plain,
( ~ sQ11_spl
| ~ sQ39_spl
| e24 = op2(e24,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f447,f4179]) ).
fof(f4355,plain,
( ~ sQ39_spl
| h(e16) = op2(e24,h(e13)) ),
inference(forward_demodulation,[status(thm)],[f447,f670]) ).
fof(f4366,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| h(e16) = e24 ),
inference(forward_demodulation,[status(thm)],[f4349,f4355]) ).
fof(f4369,plain,
( ~ sQ39_spl
| e24 = op2(h(e16),h(e10)) ),
inference(forward_demodulation,[status(thm)],[f447,f674]) ).
fof(f4370,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| e24 = op2(e24,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f4366,f4369]) ).
fof(f4371,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| e24 = h(e13) ),
inference(forward_demodulation,[status(thm)],[f4171,f4370]) ).
fof(f4372,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4371,f404]) ).
fof(f4373,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f4372]) ).
fof(f4378,plain,
( ~ sQ39_spl
| h(e14) = op2(e24,h(e10)) ),
inference(forward_demodulation,[status(thm)],[f447,f667]) ).
fof(f4379,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| h(e14) = op2(e24,e24) ),
inference(forward_demodulation,[status(thm)],[f4345,f4378]) ).
fof(f4380,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| h(e14) = e24 ),
inference(forward_demodulation,[status(thm)],[f180,f4379]) ).
fof(f4381,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4380,f426]) ).
fof(f4382,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f4381]) ).
fof(f4383,plain,
$false,
inference(sat_refutation,[status(thm)],[f367,f389,f455,f609,f796,f799,f823,f911,f1152,f1208,f1250,f1263,f1277,f1401,f1535,f1610,f1817,f1920,f1925,f1931,f2063,f2160,f2305,f2416,f2509,f2510,f2711,f2720,f2886,f2893,f2918,f3005,f3027,f3115,f3164,f3230,f3332,f3355,f3367,f3411,f3431,f3569,f3629,f3630,f3683,f3689,f3750,f3813,f3908,f3936,f3973,f3978,f4007,f4099,f4125,f4128,f4145,f4226,f4306,f4328,f4335,f4373,f4382]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG206+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n013.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 13:01:06 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 0.12/0.48 % Refutation found
% 0.12/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.53 % Elapsed time: 0.147608 seconds
% 0.12/0.53 % CPU time: 0.742352 seconds
% 0.12/0.53 % Total memory used: 129.702 MB
% 0.12/0.53 % Net memory used: 129.355 MB
%------------------------------------------------------------------------------