%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP009+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 : Tue Sep 29 11:27:56 AM UTC 2026
% Result : Theorem 24.60s 10.58s
% Output : Refutation 56.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 22
% Syntax : Number of formulae : 157 ( 39 unt; 9 def)
% Number of atoms : 472 ( 61 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 566 ( 251 ~; 259 |; 33 &)
% ( 13 <=>; 9 =>; 0 <=; 1 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 10 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 16 con; 0-4 aty)
% Number of variables : 564 ( 0 sgn 528 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f93,axiom,
! [X0,X1,X2] : s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EIN__DEF) ).
fof(f8671,axiom,
! [X0,X1,X2,X3] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Equotient_2E_3D_3D_3D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27b) ).
fof(f8673,axiom,
! [X0,X1] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Equotient_2Erespects_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Equotient_2Erespects_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Equotient_2Erespects_2E1_2Emono_2EA_27a_20mono_2Etyop_2Emin_2Ebool) ).
fof(f8678,axiom,
! [X0,X1,X2] : s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(X0,X2))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Equotient_2Erespects_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Equotient_2Erespects_2E2_2Emono_2EA_27a_20mono_2Etyop_2Emin_2Ebool) ).
fof(f8685,axiom,
! [X0,X1,X2,X3,X4,X5,X6] : s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X4),s(tyop_2Emin_2Efun(X1,X3),X5),s(tyop_2Emin_2Efun(X0,X1),X6))) = s(tyop_2Emin_2Efun(X2,X3),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)))),c_2Equotient_2E_2D_2D_3E_2E0),s(tyop_2Emin_2Efun(X2,X0),X4))),s(tyop_2Emin_2Efun(X1,X3),X5))),s(tyop_2Emin_2Efun(X0,X1),X6))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq3_2Ec_2Equotient_2E_2D_2D_3E_2E3_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d) ).
fof(f8690,axiom,
! [X0,X1,X2,X3,X4,X5] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X3,X1),X5))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)))),c_2Equotient_2E_2D_2D_3E_2E0),s(tyop_2Emin_2Efun(X0,X2),X4))),s(tyop_2Emin_2Efun(X3,X1),X5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Equotient_2E_2D_2D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27d_20mono_2EA_27c_20mono_2EA_27b) ).
fof(f8694,axiom,
! [X0,X1,X2,X3,X4,X5] : s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X0,X1),X5))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4))),s(tyop_2Emin_2Efun(X0,X1),X5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq4_2Ec_2Equotient_2E_3D_3D_3D_3E_2E4_2Emono_2EA_27a_20mono_2EA_27b) ).
fof(f8706,axiom,
! [X0,X1,X2,X3,X4] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4))))
=> ! [X5,X6] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
<=> ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X5))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6))))
& s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Equotient_2EQUOTIENT__REL) ).
fof(f8714,axiom,
! [X0,X1,X2,X3,X4] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4))))
=> ! [X5,X6] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X5)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Equotient_2EQUOTIENT__SYM) ).
fof(f8720,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X2,X0),X6))))
=> ! [X7,X8,X9] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X3,X1),X9))))
=> p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X3,X1),X9)))))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Equotient_2EFUN__QUOTIENT) ).
fof(f8721,axiom,
! [X0,X1,X2] : s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(X0,X2))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(X0,X2))),s(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Equotient_2ERESPECTS) ).
fof(f8722,axiom,
! [X0,X1,X2] : s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Equotient_2Erespects_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(X0,X2))),s(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Equotient_2EIN__RESPECTS) ).
fof(f8728,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X2,X0),X6))))
=> ! [X7,X8,X9] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X3,X1),X9))))
=> ! [X10,X11] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X0,X1),X11))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X10))))
& p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X11))))
& s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X10))) = s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X11))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Equotient_2EFUN__REL__EQ__REL) ).
fof(f8729,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X2,X0),X6))))
=> ! [X7,X8,X9] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X3,X1),X9))))
=> ! [X10,X11] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X0,X1),X11))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X10))))
& p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X11))))
& s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X10))) = s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X11))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f8728]) ).
fof(f8783,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ? [X7,X8,X9] :
( ? [X10,X11] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X0,X1),X11))))
<~> ( p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X10))))
& p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X11))))
& s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X10))) = s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X11))) ) )
& p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X3,X1),X9)))) )
& p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X2,X0),X6)))) ),
inference(ennf_transformation,[],[f8729]) ).
fof(f9013,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ! [X7,X8,X9] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X3,X1),X9))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X3,X1),X9)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X2,X0),X6)))) ),
inference(ennf_transformation,[],[f8720]) ).
fof(f9016,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X5))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))) ),
inference(ennf_transformation,[],[f8714]) ).
fof(f9022,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
<=> ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X5))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6))))
& s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6))) ) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))) ),
inference(ennf_transformation,[],[f8706]) ).
fof(f9388,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ? [X7,X8,X9] :
( ? [X10,X11] :
( ( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X10))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X11))))
| s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X10))) != s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X11)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X0,X1),X11)))) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X10))))
& p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X11))))
& s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X10))) = s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X11))) )
| p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X0,X1),X11)))) ) )
& p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X3,X1),X9)))) )
& p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X2,X0),X6)))) ),
inference(nnf_transformation,[],[f8783]) ).
fof(f9389,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ? [X7,X8,X9] :
( ? [X10,X11] :
( ( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X10))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X11))))
| s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X10))) != s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X11)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X0,X1),X11)))) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X10))))
& p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(X0,X1),X11))))
& s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X10))) = s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X0,X1),X11))) )
| p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X0,X1),X11)))) ) )
& p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X3,X1),X9)))) )
& p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X2,X0),X6)))) ),
inference(flattening,[],[f9388]) ).
fof(f9390,plain,
( ( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44))),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44))),s(tyop_2Emin_2Efun(sK37,sK38),sK48))))
| s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK47))) != s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK48)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK47),s(tyop_2Emin_2Efun(sK37,sK38),sK48)))) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44))),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
& p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44))),s(tyop_2Emin_2Efun(sK37,sK38),sK48))))
& s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK47))) = s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK48))) )
| p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK47),s(tyop_2Emin_2Efun(sK37,sK38),sK48)))) )
& p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK40,sK38),sK46))))
& p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,sK39),sK42),s(tyop_2Emin_2Efun(sK39,sK37),sK43)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48]),skolemize(X0,sK37),skolemize(X1,sK38),skolemize(X2,sK39),skolemize(X3,sK40),skolemize(X4,sK41),skolemize(X5,sK42),skolemize(X6,sK43),skolemize(X7,sK44),skolemize(X8,sK45),skolemize(X9,sK46),skolemize(X10,sK47),skolemize(X11,sK48)],[f9389]) ).
fof(f9794,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6] :
( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X5))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6))))
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6))) )
& ( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X5))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6))))
& s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6))) )
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6)))) ) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))) ),
inference(nnf_transformation,[],[f9022]) ).
fof(f9795,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6] :
( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X5))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6))))
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6))) )
& ( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X5))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6))))
& s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6))) )
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6)))) ) )
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))) ),
inference(flattening,[],[f9794]) ).
fof(f10348,plain,
p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,sK39),sK42),s(tyop_2Emin_2Efun(sK39,sK37),sK43)))),
inference(cnf_transformation,[],[f9390]) ).
fof(f10349,plain,
p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK40,sK38),sK46)))),
inference(cnf_transformation,[],[f9390]) ).
fof(f10350,plain,
( s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK47))) = s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK48)))
| p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK47),s(tyop_2Emin_2Efun(sK37,sK38),sK48)))) ),
inference(cnf_transformation,[],[f9390]) ).
fof(f10351,plain,
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44))),s(tyop_2Emin_2Efun(sK37,sK38),sK48))))
| p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK47),s(tyop_2Emin_2Efun(sK37,sK38),sK48)))) ),
inference(cnf_transformation,[],[f9390]) ).
fof(f10352,plain,
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44))),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK47),s(tyop_2Emin_2Efun(sK37,sK38),sK48)))) ),
inference(cnf_transformation,[],[f9390]) ).
fof(f10353,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44))),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44))),s(tyop_2Emin_2Efun(sK37,sK38),sK48))))
| s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK47))) != s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK48)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK47),s(tyop_2Emin_2Efun(sK37,sK38),sK48)))) ),
inference(cnf_transformation,[],[f9390]) ).
fof(f11136,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X2,X0),X6),s(tyop_2Emin_2Efun(X1,X3),X8))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X3,X1),X9))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X7),s(tyop_2Emin_2Efun(X1,X3),X8),s(tyop_2Emin_2Efun(X3,X1),X9))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X2,X0),X6)))) ),
inference(cnf_transformation,[],[f9013]) ).
fof(f11140,plain,
! [X2,X3,X0,X1] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),
inference(cnf_transformation,[],[f8671]) ).
fof(f11142,plain,
! [X2,X3,X0,X1,X6,X4,X5] : s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X4),s(tyop_2Emin_2Efun(X1,X3),X5),s(tyop_2Emin_2Efun(X0,X1),X6))) = s(tyop_2Emin_2Efun(X2,X3),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X0),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,X3),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)))),c_2Equotient_2E_2D_2D_3E_2E0),s(tyop_2Emin_2Efun(X2,X0),X4))),s(tyop_2Emin_2Efun(X1,X3),X5))),s(tyop_2Emin_2Efun(X0,X1),X6))),
inference(cnf_transformation,[],[f8685]) ).
fof(f11144,plain,
! [X2,X0,X1] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(X0,X2))),s(X0,X2))) = s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(X0,X2))),
inference(cnf_transformation,[],[f8721]) ).
fof(f11148,plain,
! [X2,X0,X1] : s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(X0,X2))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Equotient_2Erespects_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(X0,X2))),
inference(cnf_transformation,[],[f8678]) ).
fof(f11150,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X5))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))) ),
inference(cnf_transformation,[],[f9016]) ).
fof(f11158,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))) ),
inference(cnf_transformation,[],[f9795]) ).
fof(f11160,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X5))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))) ),
inference(cnf_transformation,[],[f9795]) ).
fof(f11161,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X5))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6))))
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))) ),
inference(cnf_transformation,[],[f9795]) ).
fof(f11179,plain,
! [X2,X3,X0,X1,X4,X5] : s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X0,X1),X5))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4))),s(tyop_2Emin_2Efun(X0,X1),X5))),
inference(cnf_transformation,[],[f8694]) ).
fof(f11303,plain,
! [X2,X3,X0,X1,X4,X5] : s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X3,X1),X5))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X0,X1)))),c_2Equotient_2E_2D_2D_3E_2E0),s(tyop_2Emin_2Efun(X0,X2),X4))),s(tyop_2Emin_2Efun(X3,X1),X5))),
inference(cnf_transformation,[],[f8690]) ).
fof(f11447,plain,
! [X2,X0,X1] : s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,X1))),
inference(cnf_transformation,[],[f93]) ).
fof(f11450,plain,
! [X0,X1] : s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Equotient_2Erespects_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))) = s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Equotient_2Erespects_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),
inference(cnf_transformation,[],[f8673]) ).
fof(f12239,plain,
! [X2,X0,X1] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(X0,X2))),s(X0,X2))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Equotient_2Erespects_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))))),
inference(cnf_transformation,[],[f8722]) ).
fof(f12584,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X5),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Equotient_2Erespects_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))) ),
inference(forward_demodulation,[],[f11160,f12239]) ).
fof(f12585,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X5),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Equotient_2Erespects_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6))))
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))) ),
inference(forward_demodulation,[],[f11161,f12239]) ).
fof(f12588,plain,
! [X2,X0,X1] : s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(X0,X2))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Equotient_2Erespects_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(X0,X2))),
inference(forward_demodulation,[],[f11148,f11450]) ).
fof(f12593,plain,
! [X2,X3,X0,X1,X6,X4,X5] : s(tyop_2Emin_2Efun(X2,X3),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X2,X0),X4),s(tyop_2Emin_2Efun(X1,X3),X5),s(tyop_2Emin_2Efun(X0,X1),X6))) = s(tyop_2Emin_2Efun(X2,X3),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X3)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X2,X0),X4),s(tyop_2Emin_2Efun(X1,X3),X5))),s(tyop_2Emin_2Efun(X0,X1),X6))),
inference(forward_demodulation,[],[f11142,f11303]) ).
fof(f12709,definition,
( spl580_26
<=> p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK47),s(tyop_2Emin_2Efun(sK37,sK38),sK48)))) ),
introduced(definition,[new_symbols(definition,[spl580_26])],[avatar_definition]) ).
fof(f12710,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK47),s(tyop_2Emin_2Efun(sK37,sK38),sK48))))
| spl580_26 ),
inference(avatar_component_clause,[],[f12709]) ).
fof(f12711,plain,
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK47),s(tyop_2Emin_2Efun(sK37,sK38),sK48))))
| ~ spl580_26 ),
inference(avatar_component_clause,[],[f12709]) ).
fof(f12713,definition,
( spl580_27
<=> s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK47))) = s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK48))) ),
introduced(definition,[new_symbols(definition,[spl580_27])],[avatar_definition]) ).
fof(f12714,plain,
( s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK47))) != s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK48)))
| spl580_27 ),
inference(avatar_component_clause,[],[f12713]) ).
fof(f12715,plain,
( s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK47))) = s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK48)))
| ~ spl580_27 ),
inference(avatar_component_clause,[],[f12713]) ).
fof(f12716,plain,
( spl580_26
| spl580_27 ),
inference(avatar_split_clause,[],[f10350,f12713,f12709]) ).
fof(f12718,definition,
( spl580_28
<=> p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44))),s(tyop_2Emin_2Efun(sK37,sK38),sK48)))) ),
introduced(definition,[new_symbols(definition,[spl580_28])],[avatar_definition]) ).
fof(f12719,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44))),s(tyop_2Emin_2Efun(sK37,sK38),sK48))))
| spl580_28 ),
inference(avatar_component_clause,[],[f12718]) ).
fof(f12720,plain,
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44))),s(tyop_2Emin_2Efun(sK37,sK38),sK48))))
| ~ spl580_28 ),
inference(avatar_component_clause,[],[f12718]) ).
fof(f12721,plain,
( spl580_26
| spl580_28 ),
inference(avatar_split_clause,[],[f10351,f12718,f12709]) ).
fof(f12723,definition,
( spl580_29
<=> p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44))),s(tyop_2Emin_2Efun(sK37,sK38),sK47)))) ),
introduced(definition,[new_symbols(definition,[spl580_29])],[avatar_definition]) ).
fof(f12724,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44))),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| spl580_29 ),
inference(avatar_component_clause,[],[f12723]) ).
fof(f12725,plain,
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44))),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| ~ spl580_29 ),
inference(avatar_component_clause,[],[f12723]) ).
fof(f12726,plain,
( spl580_26
| spl580_29 ),
inference(avatar_split_clause,[],[f10352,f12723,f12709]) ).
fof(f12727,plain,
( ~ spl580_26
| ~ spl580_27
| ~ spl580_28
| ~ spl580_29 ),
inference(avatar_split_clause,[],[f10353,f12723,f12718,f12713,f12709]) ).
fof(f12766,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Equotient_2Erespects_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2))),s(X0,X5))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))) ),
inference(forward_demodulation,[],[f12584,f11447]) ).
fof(f12767,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Equotient_2Erespects_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2))),s(X0,X5))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6))))
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))) ),
inference(forward_demodulation,[],[f12585,f11447]) ).
fof(f12799,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
| p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))) ),
inference(forward_demodulation,[],[f12766,f12588]) ).
fof(f12800,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))),s(X0,X6))))
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))) ),
inference(forward_demodulation,[],[f12767,f12588]) ).
fof(f12816,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X0,X6),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Equotient_2Erespects_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))) ),
inference(forward_demodulation,[],[f12800,f12239]) ).
fof(f12824,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Equotient_2Erespects_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2))),s(X0,X6))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))) ),
inference(forward_demodulation,[],[f12816,f11447]) ).
fof(f12830,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X5))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X6)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X0,X6))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(X0,X6))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,X0),X4)))) ),
inference(forward_demodulation,[],[f12824,f12588]) ).
fof(f12929,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5))))
| p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8)))) ),
inference(superposition,[],[f12799,f11179]) ).
fof(f12961,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X5))),s(tyop_2Emin_2Efun(X0,X2),X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8)))) ),
inference(superposition,[],[f11150,f11179]) ).
fof(f12982,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5))))
| s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X4))) = s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X5)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8)))) ),
inference(superposition,[],[f11158,f11179]) ).
fof(f13318,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8)))) ),
inference(forward_demodulation,[],[f12929,f11140]) ).
fof(f13320,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X0,X2),X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)))),c_2Equotient_2E_3D_3D_3D_3E_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8)))) ),
inference(forward_demodulation,[],[f12961,f11179]) ).
fof(f13323,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5))))
| s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X4))) = s(X6,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X0,X2),X5))) ),
inference(forward_demodulation,[],[f12982,f11140]) ).
fof(f13333,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8))))
| p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X2),X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))) ),
inference(forward_demodulation,[],[f13318,f11140]) ).
fof(f13335,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),X6),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X0,X2)),X8))))
| p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X0,X2),X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5)))) ),
inference(forward_demodulation,[],[f13320,f11140]) ).
fof(f13341,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X5),s(tyop_2Emin_2Efun(X0,X2),X4))))
| p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X2,X6),X7),s(tyop_2Emin_2Efun(X6,X2),X8))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X0,X9),X10),s(tyop_2Emin_2Efun(X9,X0),X11)))) ),
inference(resolution,[],[f13335,f11136]) ).
fof(f13347,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X0,X1),X5))))
| p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X1,X6),X7),s(tyop_2Emin_2Efun(X6,X1),X8))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X0,X9),X10),s(tyop_2Emin_2Efun(X9,X0),X11)))) ),
inference(resolution,[],[f13333,f11136]) ).
fof(f13359,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5))))
| s(tyop_2Emin_2Efun(X6,X7),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(X6,X7)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X2,X7),X9))),s(tyop_2Emin_2Efun(X0,X2),X4))) = s(tyop_2Emin_2Efun(X6,X7),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(X6,X7)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X2,X7),X9))),s(tyop_2Emin_2Efun(X0,X2),X5)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X2,X7),X9),s(tyop_2Emin_2Efun(X7,X2),X10))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X0,X6),X11),s(tyop_2Emin_2Efun(X6,X0),X8)))) ),
inference(resolution,[],[f13323,f11136]) ).
fof(f13365,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( s(tyop_2Emin_2Efun(X6,X7),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X2),tyop_2Emin_2Efun(X6,X7)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X2,X7),X9))),s(tyop_2Emin_2Efun(X0,X2),X4))) = s(tyop_2Emin_2Efun(X6,X7),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X2,X7),X9),s(tyop_2Emin_2Efun(X0,X2),X5)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X2,X7),X9),s(tyop_2Emin_2Efun(X7,X2),X10))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X0,X6),X11),s(tyop_2Emin_2Efun(X6,X0),X8)))) ),
inference(forward_demodulation,[],[f13359,f12593]) ).
fof(f13366,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X2),X4),s(tyop_2Emin_2Efun(X0,X2),X5))))
| s(tyop_2Emin_2Efun(X6,X7),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X2,X7),X9),s(tyop_2Emin_2Efun(X0,X2),X5))) = s(tyop_2Emin_2Efun(X6,X7),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X6,X0),X8),s(tyop_2Emin_2Efun(X2,X7),X9),s(tyop_2Emin_2Efun(X0,X2),X4)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X2,X7),X9),s(tyop_2Emin_2Efun(X7,X2),X10))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(X0,X6),X11),s(tyop_2Emin_2Efun(X6,X0),X8)))) ),
inference(forward_demodulation,[],[f13365,f12593]) ).
fof(f13405,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK38,X1),X3),s(tyop_2Emin_2Efun(X1,sK38),X4))))
| s(tyop_2Emin_2Efun(X0,X1),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X0,sK37),X2),s(tyop_2Emin_2Efun(sK38,X1),X3),s(tyop_2Emin_2Efun(sK37,sK38),sK48))) = s(tyop_2Emin_2Efun(X0,X1),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X0,sK37),X2),s(tyop_2Emin_2Efun(sK38,X1),X3),s(tyop_2Emin_2Efun(sK37,sK38),sK47)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,X0),X5),s(tyop_2Emin_2Efun(X0,sK37),X2)))) )
| ~ spl580_26 ),
inference(resolution,[],[f12711,f13366]) ).
fof(f13429,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK48),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK38,X0),X1),s(tyop_2Emin_2Efun(X0,sK38),X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,X3),X4),s(tyop_2Emin_2Efun(X3,sK37),X5)))) )
| ~ spl580_26 ),
inference(resolution,[],[f13341,f12711]) ).
fof(f13439,definition,
( spl580_30
<=> ! [X4,X5,X3] : ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,X3),X4),s(tyop_2Emin_2Efun(X3,sK37),X5)))) ),
introduced(definition,[new_symbols(definition,[spl580_30])],[avatar_definition]) ).
fof(f13440,plain,
( ! [X3,X4,X5] : ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,X3),X4),s(tyop_2Emin_2Efun(X3,sK37),X5))))
| ~ spl580_30 ),
inference(avatar_component_clause,[],[f13439]) ).
fof(f13442,definition,
( spl580_31
<=> ! [X2,X0,X1] : ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK38,X0),X1),s(tyop_2Emin_2Efun(X0,sK38),X2)))) ),
introduced(definition,[new_symbols(definition,[spl580_31])],[avatar_definition]) ).
fof(f13443,plain,
( ! [X2,X0,X1] : ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK38,X0),X1),s(tyop_2Emin_2Efun(X0,sK38),X2))))
| ~ spl580_31 ),
inference(avatar_component_clause,[],[f13442]) ).
fof(f13445,definition,
( spl580_32
<=> p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK48),s(tyop_2Emin_2Efun(sK37,sK38),sK47)))) ),
introduced(definition,[new_symbols(definition,[spl580_32])],[avatar_definition]) ).
fof(f13446,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK48),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| spl580_32 ),
inference(avatar_component_clause,[],[f13445]) ).
fof(f13447,plain,
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK48),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| ~ spl580_32 ),
inference(avatar_component_clause,[],[f13445]) ).
fof(f13448,plain,
( spl580_30
| spl580_31
| spl580_32
| ~ spl580_26 ),
inference(avatar_split_clause,[],[f13429,f12709,f13445,f13442,f13439]) ).
fof(f13449,plain,
( $false
| ~ spl580_30 ),
inference(resolution,[],[f13440,f10348]) ).
fof(f13453,plain,
~ spl580_30,
inference(avatar_contradiction_clause,[],[f13449]) ).
fof(f13454,plain,
( $false
| ~ spl580_31 ),
inference(resolution,[],[f13443,f10349]) ).
fof(f13458,plain,
~ spl580_31,
inference(avatar_contradiction_clause,[],[f13454]) ).
fof(f13459,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK47),s(tyop_2Emin_2Efun(sK37,sK38),sK48))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK38,X0),X1),s(tyop_2Emin_2Efun(X0,sK38),X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,X3),X4),s(tyop_2Emin_2Efun(X3,sK37),X5)))) )
| ~ spl580_32 ),
inference(resolution,[],[f13447,f13341]) ).
fof(f13462,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44))),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK38,X0),X1),s(tyop_2Emin_2Efun(X0,sK38),X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,X3),X4),s(tyop_2Emin_2Efun(X3,sK37),X5)))) )
| ~ spl580_26 ),
inference(resolution,[],[f13347,f12711]) ).
fof(f13463,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44))),s(tyop_2Emin_2Efun(sK37,sK38),sK48))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK38,X0),X1),s(tyop_2Emin_2Efun(X0,sK38),X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,X3),X4),s(tyop_2Emin_2Efun(X3,sK37),X5)))) )
| ~ spl580_32 ),
inference(resolution,[],[f13347,f13447]) ).
fof(f13472,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK38,X0),X1),s(tyop_2Emin_2Efun(X0,sK38),X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,X3),X4),s(tyop_2Emin_2Efun(X3,sK37),X5)))) )
| ~ spl580_26
| spl580_29 ),
inference(forward_subsumption_resolution,[],[f13462,f12724]) ).
fof(f13473,plain,
( spl580_30
| spl580_31
| ~ spl580_26
| spl580_29 ),
inference(avatar_split_clause,[],[f13472,f12723,f12709,f13442,f13439]) ).
fof(f13474,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK38,X0),X1),s(tyop_2Emin_2Efun(X0,sK38),X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,X3),X4),s(tyop_2Emin_2Efun(X3,sK37),X5)))) )
| spl580_28
| ~ spl580_32 ),
inference(forward_subsumption_resolution,[],[f13463,f12719]) ).
fof(f13475,plain,
( spl580_30
| spl580_31
| spl580_28
| ~ spl580_32 ),
inference(avatar_split_clause,[],[f13474,f13445,f12718,f13442,f13439]) ).
fof(f13763,plain,
( ! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,X0),X2),s(tyop_2Emin_2Efun(X0,sK37),X1))))
| s(tyop_2Emin_2Efun(X0,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X0,sK37),X1),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK48))) = s(tyop_2Emin_2Efun(X0,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X0,sK37),X1),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK47))) )
| ~ spl580_26 ),
inference(resolution,[],[f13405,f10349]) ).
fof(f13767,plain,
( s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK47))) = s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK48)))
| ~ spl580_26 ),
inference(resolution,[],[f13763,f10348]) ).
fof(f13771,plain,
( $false
| ~ spl580_26
| spl580_27 ),
inference(forward_subsumption_resolution,[],[f13767,f12714]) ).
fof(f13772,plain,
( ~ spl580_26
| spl580_27 ),
inference(avatar_contradiction_clause,[],[f13771]) ).
fof(f13773,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK38,X0),X1),s(tyop_2Emin_2Efun(X0,sK38),X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,X3),X4),s(tyop_2Emin_2Efun(X3,sK37),X5)))) )
| spl580_26
| ~ spl580_32 ),
inference(forward_subsumption_resolution,[],[f13459,f12710]) ).
fof(f13774,plain,
( spl580_30
| spl580_31
| spl580_26
| ~ spl580_32 ),
inference(avatar_split_clause,[],[f13773,f13445,f12709,f13442,f13439]) ).
fof(f14181,plain,
! [X2,X3,X0,X1,X4,X5] : s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X0,X1),X5))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4))),s(tyop_2Emin_2Efun(X0,X1),X5))),
inference(superposition,[],[f11179,f11140]) ).
fof(f14730,plain,
! [X2,X3,X0,X1,X4] : s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3))),s(tyop_2Emin_2Efun(X0,X1),X4))) = s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X0,X1),X4))),
inference(superposition,[],[f14181,f11144]) ).
fof(f15704,plain,
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK47),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| ~ spl580_29 ),
inference(superposition,[],[f12725,f14730]) ).
fof(f15705,plain,
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK48),s(tyop_2Emin_2Efun(sK37,sK38),sK48))))
| ~ spl580_28 ),
inference(superposition,[],[f12720,f14730]) ).
fof(f29601,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( s(tyop_2Emin_2Efun(X0,X1),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X0,X2),X3),s(tyop_2Emin_2Efun(X4,X1),X5),s(tyop_2Emin_2Efun(X2,X4),X6))) != s(tyop_2Emin_2Efun(X0,X1),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Efun(X0,X1)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X0,X2),X3),s(tyop_2Emin_2Efun(X4,X1),X5))),s(tyop_2Emin_2Efun(X2,X4),X7)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Ebool)),X8),s(tyop_2Emin_2Efun(X2,X4),X7))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Ebool)),X8),s(tyop_2Emin_2Efun(X2,X4),X7))),s(tyop_2Emin_2Efun(X2,X4),X6))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Ebool)),X8),s(tyop_2Emin_2Efun(X2,X4),X6))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Ebool)),X8),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Efun(X0,X1)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X0,X2),X3),s(tyop_2Emin_2Efun(X4,X1),X5))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X4)),X9)))) ),
inference(superposition,[],[f12830,f12593]) ).
fof(f29621,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( s(tyop_2Emin_2Efun(X0,X1),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X0,X2),X3),s(tyop_2Emin_2Efun(X4,X1),X5),s(tyop_2Emin_2Efun(X2,X4),X6))) != s(tyop_2Emin_2Efun(X0,X1),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(X0,X2),X3),s(tyop_2Emin_2Efun(X4,X1),X5),s(tyop_2Emin_2Efun(X2,X4),X7)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Ebool)),X8),s(tyop_2Emin_2Efun(X2,X4),X7))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Ebool)),X8),s(tyop_2Emin_2Efun(X2,X4),X7))),s(tyop_2Emin_2Efun(X2,X4),X6))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Ebool)),X8),s(tyop_2Emin_2Efun(X2,X4),X6))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Ebool)),X8),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X4),tyop_2Emin_2Efun(X0,X1)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(X0,X2),X3),s(tyop_2Emin_2Efun(X4,X1),X5))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X2,X4)),X9)))) ),
inference(forward_demodulation,[],[f29601,f12593]) ).
fof(f29786,plain,
( ! [X2,X0,X1] :
( s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),sK47))) != s(tyop_2Emin_2Efun(sK39,sK40),c_2Equotient_2E_2D_2D_3E_2E3(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK37,sK38),X0)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK37,sK38),sK48))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK37,sK38),sK48))),s(tyop_2Emin_2Efun(sK37,sK38),X0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK37,sK38),X0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(sK39,sK40)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK39,sK40),tyop_2Emin_2Efun(sK37,sK38)),X2)))) )
| ~ spl580_27 ),
inference(superposition,[],[f29621,f12715]) ).
fof(f29885,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(sK39,sK40)),c_2Equotient_2E_2D_2D_3E_2E2(s(tyop_2Emin_2Efun(sK39,sK37),sK43),s(tyop_2Emin_2Efun(sK38,sK40),sK45))),s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK39,sK40),tyop_2Emin_2Efun(sK37,sK38)),X1))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK37,sK38),sK48))),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK37,sK38),sK48)))) )
| ~ spl580_27 ),
inference(equality_resolution,[],[f29786]) ).
fof(f29891,plain,
( ! [X2,X3,X0,X1] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(sK37,sK38),sK48))),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(sK37,sK38),sK48))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK40,sK38),X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK37,sK39),X3),s(tyop_2Emin_2Efun(sK39,sK37),sK43)))) )
| ~ spl580_27 ),
inference(resolution,[],[f29885,f11136]) ).
fof(f29902,plain,
( ! [X2,X3,X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK37,sK38),sK48),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(sK37,sK38),sK48))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK40,sK38),X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK37,sK39),X3),s(tyop_2Emin_2Efun(sK39,sK37),sK43)))) )
| ~ spl580_27 ),
inference(forward_demodulation,[],[f29891,f14181]) ).
fof(f29903,plain,
( ! [X2,X3,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK37,sK38),sK47),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK37,sK38),sK48),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2Erespects_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK37,sK38),tyop_2Emin_2Ebool)),c_2Equotient_2E_3D_3D_3D_3E_2E2(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),X1))),s(tyop_2Emin_2Efun(sK37,sK38),sK48))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK40,sK38),X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK37,sK39),X3),s(tyop_2Emin_2Efun(sK39,sK37),sK43)))) )
| ~ spl580_27 ),
inference(forward_demodulation,[],[f29902,f14730]) ).
fof(f29904,plain,
( ! [X2,X3,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK37,sK38),sK48),s(tyop_2Emin_2Efun(sK37,sK38),sK48))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK37,sK38),sK47),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK37,sK38),sK48),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),X1),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK40,sK38),X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),X0),s(tyop_2Emin_2Efun(sK37,sK39),X3),s(tyop_2Emin_2Efun(sK39,sK37),sK43)))) )
| ~ spl580_27 ),
inference(forward_demodulation,[],[f29903,f14730]) ).
fof(f29905,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK47),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK48),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK40,sK38),X0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,sK39),X1),s(tyop_2Emin_2Efun(sK39,sK37),sK43)))) )
| ~ spl580_27
| ~ spl580_28 ),
inference(resolution,[],[f29904,f15705]) ).
fof(f29916,definition,
( spl580_179
<=> ! [X2] : ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,sK39),X2),s(tyop_2Emin_2Efun(sK39,sK37),sK43)))) ),
introduced(definition,[new_symbols(definition,[spl580_179])],[avatar_definition]) ).
fof(f29917,plain,
( ! [X2] : ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,sK39),X2),s(tyop_2Emin_2Efun(sK39,sK37),sK43))))
| ~ spl580_179 ),
inference(avatar_component_clause,[],[f29916]) ).
fof(f29930,plain,
( ! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,c_2Equotient_2E_3D_3D_3D_3E_2E4(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK37,sK38),sK48),s(tyop_2Emin_2Efun(sK37,sK38),sK47))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK40,sK38),X0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,sK39),X1),s(tyop_2Emin_2Efun(sK39,sK37),sK43)))) )
| ~ spl580_27
| ~ spl580_28
| ~ spl580_29 ),
inference(forward_subsumption_resolution,[],[f29905,f15704]) ).
fof(f29931,plain,
( ! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK40,sK38),X0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK37,tyop_2Emin_2Efun(sK37,tyop_2Emin_2Ebool)),sK41),s(tyop_2Emin_2Efun(sK37,sK39),X1),s(tyop_2Emin_2Efun(sK39,sK37),sK43)))) )
| ~ spl580_27
| ~ spl580_28
| ~ spl580_29
| spl580_32 ),
inference(forward_subsumption_resolution,[],[f29930,f13446]) ).
fof(f29933,definition,
( spl580_183
<=> ! [X0] : ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK40,sK38),X0)))) ),
introduced(definition,[new_symbols(definition,[spl580_183])],[avatar_definition]) ).
fof(f29934,plain,
( ! [X0] : ~ p(s(tyop_2Emin_2Ebool,c_2Equotient_2EQUOTIENT_2E3(s(tyop_2Emin_2Efun(sK38,tyop_2Emin_2Efun(sK38,tyop_2Emin_2Ebool)),sK44),s(tyop_2Emin_2Efun(sK38,sK40),sK45),s(tyop_2Emin_2Efun(sK40,sK38),X0))))
| ~ spl580_183 ),
inference(avatar_component_clause,[],[f29933]) ).
fof(f29935,plain,
( spl580_179
| spl580_183
| ~ spl580_27
| ~ spl580_28
| ~ spl580_29
| spl580_32 ),
inference(avatar_split_clause,[],[f29931,f13445,f12723,f12718,f12713,f29933,f29916]) ).
fof(f29936,plain,
( $false
| ~ spl580_179 ),
inference(resolution,[],[f29917,f10348]) ).
fof(f29941,plain,
~ spl580_179,
inference(avatar_contradiction_clause,[],[f29936]) ).
fof(f29942,plain,
( $false
| ~ spl580_183 ),
inference(resolution,[],[f29934,f10349]) ).
fof(f29947,plain,
~ spl580_183,
inference(avatar_contradiction_clause,[],[f29942]) ).
cnf(s24,plain,
( spl580_26
| spl580_27 ),
inference(sat_conversion,[],[f12716]) ).
cnf(s25,plain,
( spl580_26
| spl580_28 ),
inference(sat_conversion,[],[f12721]) ).
cnf(s26,plain,
( spl580_26
| spl580_29 ),
inference(sat_conversion,[],[f12726]) ).
cnf(s27,plain,
( ~ spl580_26
| ~ spl580_27
| ~ spl580_28
| ~ spl580_29 ),
inference(sat_conversion,[],[f12727]) ).
cnf(s39,plain,
( ~ spl580_26
| spl580_30
| spl580_31
| spl580_32 ),
inference(sat_conversion,[],[f13448]) ).
cnf(s40,plain,
~ spl580_30,
inference(sat_conversion,[],[f13453]) ).
cnf(s41,plain,
~ spl580_31,
inference(sat_conversion,[],[f13458]) ).
cnf(s42,plain,
( ~ spl580_26
| spl580_29
| spl580_30
| spl580_31 ),
inference(sat_conversion,[],[f13473]) ).
cnf(s43,plain,
( spl580_28
| spl580_30
| spl580_31
| ~ spl580_32 ),
inference(sat_conversion,[],[f13475]) ).
cnf(s44,plain,
( ~ spl580_26
| spl580_27 ),
inference(sat_conversion,[],[f13772]) ).
cnf(s45,plain,
( spl580_26
| spl580_30
| spl580_31
| ~ spl580_32 ),
inference(sat_conversion,[],[f13774]) ).
cnf(s189,plain,
( ~ spl580_27
| ~ spl580_28
| ~ spl580_29
| spl580_32
| spl580_179
| spl580_183 ),
inference(sat_conversion,[],[f29935]) ).
cnf(s190,plain,
~ spl580_179,
inference(sat_conversion,[],[f29941]) ).
cnf(s191,plain,
~ spl580_183,
inference(sat_conversion,[],[f29947]) ).
cnf(s192,plain,
( ~ spl580_27
| ~ spl580_28
| ~ spl580_29
| spl580_32 ),
inference(rat,[],[s189,s191,s190]) ).
cnf(s306,plain,
( ~ spl580_26
| spl580_32 ),
inference(rat,[],[s39,s41,s40]) ).
cnf(s317,plain,
~ spl580_26,
inference(rat,[],[s43,s27,s306,s42,s44,s41,s40]) ).
cnf(s318,plain,
~ spl580_32,
inference(rat,[],[s45,s40,s41,s317]) ).
cnf(s319,plain,
spl580_29,
inference(rat,[],[s26,s317]) ).
cnf(s320,plain,
spl580_28,
inference(rat,[],[s25,s317]) ).
cnf(s321,plain,
spl580_27,
inference(rat,[],[s24,s317]) ).
cnf(s326,plain,
$false,
inference(rat,[],[s192,s318,s319,s320,s321]) ).
fof(f29948,plain,
$false,
inference(avatar_sat_refutation,[],[s326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP009+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.58 % Computer : n017.cluster.edu
% 0.09/0.58 % Model : x86_64 x86_64
% 0.09/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.58 % Memory : 8046.5625MB
% 0.09/0.58 % OS : Linux 6.8.0-71-generic
% 0.09/0.58 % CPULimit : 300
% 0.09/0.58 % WCLimit : 300
% 0.09/0.58 % DateTime : Sun Sep 27 11:51:39 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.58 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.61 Running first-order theorem proving
% 0.09/0.61 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.58/4.36 % (2415752)Detected formulas, will run a generic FOF schedule.
% 11.58/4.36 % (2415760)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=243885293:i=109:sd=1:ins=1:gsp=on:ss=axioms_2980 on theBenchmark for (2980ds/109Mi)
% 11.58/4.36 % (2415760)Instruction limit reached!
% 11.58/4.36 % (2415760)------------------------------
% 11.58/4.36 % (2415760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/4.36 % (2415760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/4.36 % (2415760)CaDiCaL version: 2.1.3
% 11.58/4.36 % (2415760)Termination reason: Instruction limit
% 11.58/4.36 % (2415760)Termination phase: SInE selection
% 11.58/4.36 % (2415760)Time elapsed: 0.036 s
% 11.58/4.36 % (2415760)Peak memory usage: 99 MB
% 11.58/4.36 % (2415760)Instructions burned: 112 (million)
% 11.58/4.36 % (2415763)dis-21_1_sil=8000:lcm=predicate:random_seed=2481498986:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2980 on theBenchmark for (2980ds/129Mi)
% 11.58/4.36 % (2415759)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=511301547:i=141695:sd=1:nm=32:gsp=on:ss=included_2980 on theBenchmark for (2980ds/141695Mi)
% 11.58/4.36 % (2415757)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3574114079:i=141193_2980 on theBenchmark for (2980ds/141193Mi)
% 11.58/4.36 % (2415758)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1100076767:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2980 on theBenchmark for (2980ds/134677Mi)
% 11.58/4.36 % (2415762)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=145894963:s2a=on:i=139:gtg=position_2980 on theBenchmark for (2980ds/139Mi)
% 11.58/4.36 % (2415761)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=516277932:i=119:av=off:ss=axioms_2980 on theBenchmark for (2980ds/119Mi)
% 11.58/4.36 % (2415762)Instruction limit reached!
% 11.58/4.36 % (2415762)------------------------------
% 11.58/4.36 % (2415762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/4.36 % (2415762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/4.36 % (2415762)CaDiCaL version: 2.1.3
% 11.58/4.36 % (2415762)Termination reason: Instruction limit
% 11.58/4.36 % (2415762)Termination phase: Property scanning
% 11.58/4.36 % (2415762)Time elapsed: 0.051 s
% 11.58/4.36 % (2415762)Peak memory usage: 100 MB
% 11.58/4.36 % (2415762)Instructions burned: 140 (million)
% 11.58/4.36 % (2415763)Instruction limit reached!
% 11.58/4.36 % (2415763)------------------------------
% 11.58/4.36 % (2415763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/4.36 % (2415763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/4.36 % (2415763)CaDiCaL version: 2.1.3
% 11.58/4.36 % (2415763)Termination reason: Instruction limit
% 11.58/4.36 % (2415763)Termination phase: SInE selection
% 11.58/4.36 % (2415763)Time elapsed: 0.065 s
% 11.58/4.36 % (2415763)Peak memory usage: 99 MB
% 11.58/4.36 % (2415763)Instructions burned: 131 (million)
% 11.58/4.36 % (2415761)Instruction limit reached!
% 11.58/4.36 % (2415761)------------------------------
% 11.58/4.36 % (2415761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/4.36 % (2415761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/4.36 % (2415761)CaDiCaL version: 2.1.3
% 11.58/4.36 % (2415761)Termination reason: Instruction limit
% 11.58/4.36 % (2415761)Termination phase: Preprocessing 1
% 11.58/4.36 % (2415761)Time elapsed: 0.069 s
% 11.58/4.36 % (2415761)Peak memory usage: 100 MB
% 11.58/4.36 % (2415761)Instructions burned: 120 (million)
% 11.58/4.36 % (2415771)lrs+10_1_sil=8000:sp=occurrence:random_seed=2051304013:i=285:sd=3:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/285Mi)
% 11.58/4.36 % (2415772)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2141552374:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/157Mi)
% 11.58/4.36 % (2415771)Instruction limit reached!
% 11.58/4.36 % (2415771)------------------------------
% 11.58/4.36 % (2415771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/4.36 % (2415771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/4.36 % (2415771)CaDiCaL version: 2.1.3
% 11.58/4.36 % (2415771)Termination reason: Instruction limit
% 18.03/5.21 % (2415771)Termination phase: Saturation
% 18.03/5.21 % (2415771)Time elapsed: 0.094 s
% 18.03/5.21 % (2415771)Peak memory usage: 105 MB
% 18.03/5.21 % (2415771)Instructions burned: 289 (million)
% 18.03/5.21 % (2415773)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1960957559:i=325:sd=1:ss=axioms:sgt=32_2978 on theBenchmark for (2978ds/325Mi)
% 18.03/5.21 % (2415774)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1433706414:s2a=on:i=248:s2at=1.23:gtg=position_2978 on theBenchmark for (2978ds/248Mi)
% 18.03/5.21 % (2415772)Instruction limit reached!
% 18.03/5.21 % (2415772)------------------------------
% 18.03/5.21 % (2415772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.03/5.21 % (2415772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.03/5.21 % (2415772)CaDiCaL version: 2.1.3
% 18.03/5.21 % (2415772)Termination reason: Instruction limit
% 18.03/5.21 % (2415772)Termination phase: Property scanning
% 18.03/5.21 % (2415772)Time elapsed: 0.058 s
% 18.03/5.21 % (2415772)Peak memory usage: 100 MB
% 18.03/5.21 % (2415772)Instructions burned: 158 (million)
% 18.03/5.21 % (2415777)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1823401841:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2977 on theBenchmark for (2977ds/294Mi)
% 18.03/5.21 % (2415774)Instruction limit reached!
% 18.03/5.21 % (2415774)------------------------------
% 18.03/5.21 % (2415774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.03/5.21 % (2415774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.03/5.21 % (2415774)CaDiCaL version: 2.1.3
% 18.03/5.21 % (2415774)Termination reason: Instruction limit
% 18.03/5.21 % (2415774)Termination phase: Property scanning
% 18.03/5.21 % (2415774)Time elapsed: 0.091 s
% 18.03/5.21 % (2415774)Peak memory usage: 100 MB
% 18.03/5.21 % (2415774)Instructions burned: 250 (million)
% 18.03/5.21 % (2415777)Instruction limit reached!
% 18.03/5.21 % (2415777)------------------------------
% 18.03/5.21 % (2415777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.03/5.21 % (2415777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.03/5.21 % (2415777)CaDiCaL version: 2.1.3
% 18.03/5.21 % (2415777)Termination reason: Instruction limit
% 18.03/5.21 % (2415777)Termination phase: Saturation
% 18.03/5.21 % (2415777)Time elapsed: 0.083 s
% 18.03/5.21 % (2415777)Peak memory usage: 104 MB
% 18.03/5.21 % (2415777)Instructions burned: 297 (million)
% 18.03/5.21 % (2415780)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3481285784:i=2350_2976 on theBenchmark for (2976ds/2350Mi)
% 18.03/5.21 % (2415773)Instruction limit reached!
% 18.03/5.21 % (2415773)------------------------------
% 18.03/5.21 % (2415773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.03/5.21 % (2415773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.03/5.21 % (2415773)CaDiCaL version: 2.1.3
% 18.03/5.21 % (2415773)Termination reason: Instruction limit
% 18.03/5.21 % (2415773)Termination phase: Saturation
% 18.03/5.21 % (2415773)Time elapsed: 0.189 s
% 18.03/5.21 % (2415773)Peak memory usage: 105 MB
% 18.03/5.21 % (2415773)Instructions burned: 325 (million)
% 18.03/5.21 % (2415782)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2236656345:cts=off:i=113:fsr=off:ss=included:sgt=4_2976 on theBenchmark for (2976ds/113Mi)
% 18.03/5.21 % (2415783)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1551408400:i=127:av=off:fsr=off:sup=off_2975 on theBenchmark for (2975ds/127Mi)
% 18.03/5.21 % (2415782)Instruction limit reached!
% 18.03/5.21 % (2415782)------------------------------
% 18.03/5.21 % (2415782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.03/5.21 % (2415782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.03/5.21 % (2415782)CaDiCaL version: 2.1.3
% 18.03/5.21 % (2415782)Termination reason: Instruction limit
% 18.03/5.21 % (2415782)Termination phase: SInE selection
% 18.03/5.21 % (2415782)Time elapsed: 0.063 s
% 18.03/5.21 % (2415782)Peak memory usage: 99 MB
% 18.03/5.21 % (2415782)Instructions burned: 113 (million)
% 18.03/5.21 % (2415783)Instruction limit reached!
% 18.03/5.21 % (2415783)------------------------------
% 18.03/5.21 % (2415783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.03/5.21 % (2415783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.03/5.21 % (2415783)CaDiCaL version: 2.1.3
% 18.03/5.21 % (2415783)Termination reason: Instruction limit
% 36.23/7.87 % (2415783)Termination phase: Preprocessing 1
% 36.23/7.87 % (2415783)Time elapsed: 0.048 s
% 36.23/7.87 % (2415783)Peak memory usage: 101 MB
% 36.23/7.87 % (2415783)Instructions burned: 129 (million)
% 36.23/7.87 % (2415785)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3233802230:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2975 on theBenchmark for (2975ds/114Mi)
% 36.23/7.87 % (2415785)Instruction limit reached!
% 36.23/7.87 % (2415785)------------------------------
% 36.23/7.87 % (2415785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.23/7.87 % (2415785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.23/7.87 % (2415785)CaDiCaL version: 2.1.3
% 36.23/7.87 % (2415785)Termination reason: Instruction limit
% 36.23/7.87 % (2415785)Termination phase: Property scanning
% 36.23/7.87 % (2415785)Time elapsed: 0.044 s
% 36.23/7.87 % (2415785)Peak memory usage: 100 MB
% 36.23/7.87 % (2415785)Instructions burned: 115 (million)
% 36.23/7.87 % (2415789)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=483435093:i=437:sd=1:aac=none:ss=included_2974 on theBenchmark for (2974ds/437Mi)
% 36.23/7.87 % (2415788)lrs+10_1_sil=8000:sp=occurrence:random_seed=1705008166:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2974 on theBenchmark for (2974ds/907Mi)
% 36.23/7.87 % (2415789)Instruction limit reached!
% 36.23/7.87 % (2415789)------------------------------
% 36.23/7.87 % (2415789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.23/7.87 % (2415789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.23/7.87 % (2415789)CaDiCaL version: 2.1.3
% 36.23/7.87 % (2415789)Termination reason: Instruction limit
% 36.23/7.87 % (2415789)Termination phase: Saturation
% 36.23/7.87 % (2415789)Time elapsed: 0.121 s
% 36.23/7.87 % (2415789)Peak memory usage: 107 MB
% 36.23/7.87 % (2415789)Instructions burned: 438 (million)
% 36.23/7.87 % (2415792)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3469386895:i=5202:ss=axioms:sgt=16_2973 on theBenchmark for (2973ds/5202Mi)
% 36.23/7.87 % (2415794)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=533958550:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2972 on theBenchmark for (2972ds/134Mi)
% 36.23/7.87 % (2415794)Instruction limit reached!
% 36.23/7.87 % (2415794)------------------------------
% 36.23/7.87 % (2415794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.23/7.87 % (2415794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.23/7.87 % (2415794)CaDiCaL version: 2.1.3
% 36.23/7.87 % (2415794)Termination reason: Instruction limit
% 36.23/7.87 % (2415794)Termination phase: Preprocessing 1
% 36.23/7.87 % (2415794)Time elapsed: 0.046 s
% 36.23/7.87 % (2415794)Peak memory usage: 100 MB
% 36.23/7.87 % (2415794)Instructions burned: 135 (million)
% 36.23/7.87 % (2415797)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=940168178:st=8:i=592:sd=3:ep=RST:ss=axioms_2970 on theBenchmark for (2970ds/592Mi)
% 36.23/7.87 % (2415788)Instruction limit reached!
% 36.23/7.87 % (2415788)------------------------------
% 36.23/7.87 % (2415788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.23/7.87 % (2415788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.23/7.87 % (2415788)CaDiCaL version: 2.1.3
% 36.23/7.87 % (2415788)Termination reason: Instruction limit
% 36.23/7.87 % (2415788)Termination phase: Saturation
% 36.23/7.87 % (2415788)Time elapsed: 0.477 s
% 36.23/7.87 % (2415788)Peak memory usage: 112 MB
% 36.23/7.87 % (2415788)Instructions burned: 908 (million)
% 36.23/7.87 % (2415797)Instruction limit reached!
% 36.23/7.87 % (2415797)------------------------------
% 36.23/7.87 % (2415797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.23/7.87 % (2415797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.23/7.87 % (2415797)CaDiCaL version: 2.1.3
% 36.23/7.87 % (2415797)Termination reason: Instruction limit
% 36.23/7.87 % (2415797)Termination phase: Property scanning
% 36.23/7.87 % (2415797)Time elapsed: 0.173 s
% 36.23/7.87 % (2415797)Peak memory usage: 108 MB
% 36.23/7.87 % (2415797)Instructions burned: 597 (million)
% 36.23/7.87 % (2415800)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1541698185:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/125Mi)
% 36.23/7.87 % (2415800)Instruction limit reached!
% 36.23/7.87 % (2415800)------------------------------
% 24.60/10.58 % (2415800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/10.58 % (2415800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/10.58 % (2415800)CaDiCaL version: 2.1.3
% 24.60/10.58 % (2415800)Termination reason: Instruction limit
% 24.60/10.58 % (2415800)Termination phase: Property scanning
% 24.60/10.58 % (2415800)Time elapsed: 0.025 s
% 24.60/10.58 % (2415800)Peak memory usage: 100 MB
% 24.60/10.58 % (2415800)Instructions burned: 129 (million)
% 24.60/10.58 % (2415799)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1192862199:st=3:i=13193:sd=3:ss=axioms_2968 on theBenchmark for (2968ds/13193Mi)
% 24.60/10.58 % (2415802)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3856260474:i=134:gtgl=5:slsql=off:gtg=exists_sym_2966 on theBenchmark for (2966ds/134Mi)
% 24.60/10.58 % (2415802)Instruction limit reached!
% 24.60/10.58 % (2415802)------------------------------
% 24.60/10.58 % (2415802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/10.58 % (2415802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/10.58 % (2415802)CaDiCaL version: 2.1.3
% 24.60/10.58 % (2415802)Termination reason: Instruction limit
% 24.60/10.58 % (2415802)Termination phase: Property scanning
% 24.60/10.58 % (2415802)Time elapsed: 0.027 s
% 24.60/10.58 % (2415802)Peak memory usage: 100 MB
% 24.60/10.58 % (2415802)Instructions burned: 138 (million)
% 24.60/10.58 % (2415805)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3224148701:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/141Mi)
% 24.60/10.58 % (2415780)Instruction limit reached!
% 24.60/10.58 % (2415780)------------------------------
% 24.60/10.58 % (2415780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/10.58 % (2415780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/10.58 % (2415780)CaDiCaL version: 2.1.3
% 24.60/10.58 % (2415780)Termination reason: Instruction limit
% 24.60/10.58 % (2415780)Termination phase: Property scanning
% 24.60/10.58 % (2415780)Time elapsed: 1.109 s
% 24.60/10.58 % (2415780)Peak memory usage: 137 MB
% 24.60/10.58 % (2415780)Instructions burned: 2351 (million)
% 24.60/10.58 % (2415805)Instruction limit reached!
% 24.60/10.58 % (2415805)------------------------------
% 24.60/10.58 % (2415805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/10.58 % (2415805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/10.58 % (2415805)CaDiCaL version: 2.1.3
% 24.60/10.58 % (2415805)Termination reason: Instruction limit
% 24.60/10.58 % (2415805)Termination phase: General splitting
% 24.60/10.58 % (2415805)Time elapsed: 0.047 s
% 24.60/10.58 % (2415805)Peak memory usage: 102 MB
% 24.60/10.58 % (2415805)Instructions burned: 142 (million)
% 24.60/10.58 % (2415807)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=973743457:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2964 on theBenchmark for (2964ds/431Mi)
% 24.60/10.58 % (2415808)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2717161332:i=6060:aac=none:ins=25_2964 on theBenchmark for (2964ds/6060Mi)
% 24.60/10.58 % (2415807)Instruction limit reached!
% 24.60/10.58 % (2415807)------------------------------
% 24.60/10.58 % (2415807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/10.58 % (2415807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/10.58 % (2415807)CaDiCaL version: 2.1.3
% 24.60/10.58 % (2415807)Termination reason: Instruction limit
% 24.60/10.58 % (2415807)Termination phase: Saturation
% 24.60/10.58 % (2415807)Time elapsed: 0.236 s
% 24.60/10.58 % (2415807)Peak memory usage: 107 MB
% 24.60/10.58 % (2415807)Instructions burned: 433 (million)
% 24.60/10.58 % (2415811)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2649593428:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2960 on theBenchmark for (2960ds/150Mi)
% 24.60/10.58 % (2415811)Instruction limit reached!
% 24.60/10.58 % (2415811)------------------------------
% 24.60/10.58 % (2415811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/10.58 % (2415811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/10.58 % (2415811)CaDiCaL version: 2.1.3
% 24.60/10.58 % (2415811)Termination reason: Instruction limit
% 24.60/10.58 % (2415811)Termination phase: Preprocessing 1
% 24.60/10.58 % (2415811)Time elapsed: 0.090 s
% 24.60/10.58 % (2415811)Peak memory usage: 101 MB
% 24.60/10.58 % (2415811)Instructions burned: 152 (million)
% 24.60/10.58 % (2415813)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3657694759:i=14155:bd=all_2958 on theBenchmark for (2958ds/14155Mi)
% 24.60/10.58 % (2415792)Instruction limit reached!
% 24.60/10.58 % (2415792)------------------------------
% 24.60/10.58 % (2415792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/10.58 % (2415792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/10.58 % (2415792)CaDiCaL version: 2.1.3
% 24.60/10.58 % (2415792)Termination reason: Instruction limit
% 24.60/10.58 % (2415792)Termination phase: Saturation
% 24.60/10.58 % (2415792)Time elapsed: 1.997 s
% 24.60/10.58 % (2415792)Peak memory usage: 196 MB
% 24.60/10.58 % (2415792)Instructions burned: 5205 (million)
% 24.60/10.58 % (2415815)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=129812908:i=667:av=off:fsr=off_2951 on theBenchmark for (2951ds/667Mi)
% 24.60/10.58 % (2415815)Instruction limit reached!
% 24.60/10.58 % (2415815)------------------------------
% 24.60/10.58 % (2415815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/10.58 % (2415815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/10.58 % (2415815)CaDiCaL version: 2.1.3
% 24.60/10.58 % (2415815)Termination reason: Instruction limit
% 24.60/10.58 % (2415815)Termination phase: NewCNF
% 24.60/10.58 % (2415815)Time elapsed: 0.218 s
% 24.60/10.58 % (2415815)Peak memory usage: 120 MB
% 24.60/10.58 % (2415815)Instructions burned: 668 (million)
% 24.60/10.58 % (2415817)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=85020520:s2a=on:i=185:s2at=1.8:fdi=4_2948 on theBenchmark for (2948ds/185Mi)
% 24.60/10.58 % (2415817)Instruction limit reached!
% 24.60/10.58 % (2415817)------------------------------
% 24.60/10.58 % (2415817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/10.58 % (2415817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/10.58 % (2415817)CaDiCaL version: 2.1.3
% 24.60/10.58 % (2415817)Termination reason: Instruction limit
% 24.60/10.58 % (2415817)Termination phase: SInE selection
% 24.60/10.58 % (2415817)Time elapsed: 0.055 s
% 24.60/10.58 % (2415817)Peak memory usage: 99 MB
% 24.60/10.58 % (2415817)Instructions burned: 185 (million)
% 24.60/10.58 % (2415819)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=895168784:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2947 on theBenchmark for (2947ds/193Mi)
% 24.60/10.58 % (2415819)Instruction limit reached!
% 24.60/10.58 % (2415819)------------------------------
% 24.60/10.58 % (2415819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/10.58 % (2415819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/10.58 % (2415819)CaDiCaL version: 2.1.3
% 24.60/10.58 % (2415819)Termination reason: Instruction limit
% 24.60/10.58 % (2415819)Termination phase: SInE selection
% 24.60/10.58 % (2415819)Time elapsed: 0.063 s
% 24.60/10.58 % (2415819)Peak memory usage: 99 MB
% 24.60/10.58 % (2415819)Instructions burned: 195 (million)
% 24.60/10.58 % (2415821)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=250708164:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2945 on theBenchmark for (2945ds/4850Mi)
% 24.60/10.58 % (2415808)Instruction limit reached!
% 24.60/10.58 % (2415808)------------------------------
% 24.60/10.58 % (2415808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/10.58 % (2415808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/10.58 % (2415808)CaDiCaL version: 2.1.3
% 24.60/10.58 % (2415808)Termination reason: Instruction limit
% 24.60/10.58 % (2415808)Termination phase: Saturation
% 24.60/10.58 % (2415808)Time elapsed: 2.743 s
% 24.60/10.58 % (2415808)Peak memory usage: 221 MB
% 24.60/10.58 % (2415808)Instructions burned: 6061 (million)
% 24.60/10.58 % (2415823)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2487307904:i=12111:sd=1:ss=included_2935 on theBenchmark for (2935ds/12111Mi)
% 24.60/10.58 % (2415821)Instruction limit reached!
% 24.60/10.58 % (2415821)------------------------------
% 24.60/10.58 % (2415821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/10.58 % (2415821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/10.58 % (2415821)CaDiCaL version: 2.1.3
% 24.60/10.58 % (2415821)Termination reason: Instruction limit
% 24.60/10.58 % (2415821)Termination phase: Saturation
% 24.60/10.58 % (2415821)Time elapsed: 1.272 s
% 24.60/10.58 % (2415821)Peak memory usage: 158 MB
% 24.60/10.58 % (2415821)Instructions burned: 4853 (million)
% 24.60/10.58 % (2415825)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2400959879:i=319:kws=precedence:fsr=off_2931 on theBenchmark for (2931ds/319Mi)
% 24.60/10.58 % (2415825)Instruction limit reached!
% 24.60/10.58 % (2415825)------------------------------
% 24.60/10.58 % (2415825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/10.58 % (2415825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/10.58 % (2415825)CaDiCaL version: 2.1.3
% 24.60/10.58 % (2415825)Termination reason: Instruction limit
% 24.60/10.58 % (2415825)Termination phase: Preprocessing 3
% 24.60/10.58 % (2415825)Time elapsed: 0.115 s
% 24.60/10.58 % (2415825)Peak memory usage: 107 MB
% 24.60/10.58 % (2415825)Instructions burned: 319 (million)
% 24.60/10.58 % (2415827)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1394986631:i=2064:ep=RST_2929 on theBenchmark for (2929ds/2064Mi)
% 24.60/10.58 % (2415827)Instruction limit reached!
% 24.60/10.58 % (2415827)------------------------------
% 24.60/10.58 % (2415827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/10.58 % (2415827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/10.58 % (2415827)CaDiCaL version: 2.1.3
% 24.60/10.58 % (2415827)Termination reason: Instruction limit
% 24.60/10.58 % (2415827)Termination phase: Property scanning
% 24.60/10.58 % (2415827)Time elapsed: 0.572 s
% 24.60/10.58 % (2415827)Peak memory usage: 137 MB
% 24.60/10.58 % (2415827)Instructions burned: 2068 (million)
% 24.60/10.58 % (2415829)dis-1011_128_sil=32000:random_seed=4190476312:i=3706:ep=RST:av=off_2922 on theBenchmark for (2922ds/3706Mi)
% 24.60/10.58 % (2415829)Instruction limit reached!
% 24.60/10.58 % (2415829)------------------------------
% 24.60/10.58 % (2415829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/10.58 % (2415829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/10.58 % (2415829)CaDiCaL version: 2.1.3
% 24.60/10.58 % (2415829)Termination reason: Instruction limit
% 24.60/10.58 % (2415829)Termination phase: Property scanning
% 24.60/10.58 % (2415829)Time elapsed: 0.869 s
% 24.60/10.58 % (2415829)Peak memory usage: 140 MB
% 24.60/10.58 % (2415829)Instructions burned: 3708 (million)
% 24.60/10.58 % (2415831)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=573937981:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2912 on theBenchmark for (2912ds/757Mi)
% 24.60/10.58 % (2415831)Instruction limit reached!
% 24.60/10.58 % (2415831)------------------------------
% 24.60/10.58 % (2415831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.60/10.58 % (2415831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/10.58 % (2415831)CaDiCaL version: 2.1.3
% 24.60/10.58 % (2415831)Termination reason: Instruction limit
% 24.60/10.58 % (2415831)Termination phase: Saturation
% 24.60/10.58 % (2415831)Time elapsed: 0.210 s
% 24.60/10.58 % (2415831)Peak memory usage: 114 MB
% 24.60/10.58 % (2415831)Instructions burned: 760 (million)
% 24.60/10.58 % (2415833)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1040355643:i=13913:ss=axioms:sgt=8_2909 on theBenchmark for (2909ds/13913Mi)
% 24.60/10.58 % (2415799)First to succeed.
% 24.60/10.58 % (2415799)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2415752"
% 24.60/10.58 % (2415799)Refutation found. Thanks to Tanya!
% 24.60/10.58 % SZS status Theorem for theBenchmark
% 24.60/10.58 % SZS output start Proof for theBenchmark
% See solution above
% 56.17/10.82 % (2415799)------------------------------
% 56.17/10.82 % (2415799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.17/10.82 % (2415799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.17/10.82 % (2415799)CaDiCaL version: 2.1.3
% 56.17/10.82 % (2415799)Termination reason: Refutation
% 56.17/10.82 % (2415799)Time elapsed: 5.826 s
% 56.17/10.82 % (2415799)Peak memory usage: 220 MB
% 56.17/10.82 % (2415799)Instructions burned: 9779 (million)
% 56.17/10.82 % (2415799)------------------------------
% 56.17/10.82 % (2415799)------------------------------
% 56.17/10.82 % (2415752)Success in time 9.53 s
% 56.17/10.82 % Vampire exiting
%------------------------------------------------------------------------------