%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SCT097-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 : Sun Sep 27 08:27:46 AM UTC 2026
% Result : Unsatisfiable 63.00s 49.13s
% Output : CNFRefutation 63.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 15 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 17 con; 0-5 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_le__refl_0,axiom,
'c$ulessequals'(X0,X0,'tc$unat') ).
cnf(cls_CHAINED_0,axiom,
( ~ 'c$ulessequals'(X0,'v$un','tc$unat')
| hBOOL(hAPP(hAPP('c$uin'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'c$uPair'('v$ub','v$ua','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'v$uF'(hAPP('c$uCOMBC'(hAPP('c$uCOMBC'('c$uCOMBB'('c$uHOL$uOIf'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),hAPP('c$uCOMBC'('c$uCOMBB'('c$uHOL$uOord$u$uclass$uOless'('tc$unat'),'v$uh','tc$unat','tc$ufun'('tc$unat','tc$ubool'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$unat','tc$ubool'),X0),'tc$ubool','tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'v$uLab'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$uLba')))) ) ).
cnf(cls_CHAINED_1,axiom,
( ~ hBOOL(hAPP(hAPP('c$uin'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'c$uPair'('v$ub','v$ua','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'v$uF'(hAPP('c$uCOMBC'(hAPP('c$uCOMBC'('c$uCOMBB'('c$uHOL$uOIf'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),hAPP('c$uCOMBC'('c$uCOMBB'('c$uHOL$uOord$u$uclass$uOless'('tc$unat'),'v$uh','tc$unat','tc$ufun'('tc$unat','tc$ubool'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$unat','tc$ubool'),'v$un'),'tc$ubool','tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'v$uLab'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$uLba'))))
| hBOOL(hAPP(hAPP('c$uin'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'c$uPair'('v$ue','v$ud','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'v$uF'('c$uCOMBS'('c$uCOMBS'('c$uCOMBB'('c$uHOL$uOIf'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),hAPP('c$uCOMBC'('c$uCOMBB'('c$uHOL$uOord$u$uclass$uOless'('tc$unat'),'v$uh','tc$unat','tc$ufun'('tc$unat','tc$ubool'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$unat','tc$ubool'),'v$un'),'tc$ubool','tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),hAPP('c$uCOMBC'('c$uCOMBB'('c$uArrow$u$uOrder$u$uMirabelle$uOmktop','v$uP','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$ue'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'c$uCOMBS'('c$uCOMBS'('c$uCOMBB'('c$uHOL$uOIf'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),hAPP('c$uCOMBC'('c$uCOMBB'('c$ufequal'('tc$unat'),'v$uh','tc$unat','tc$ufun'('tc$unat','tc$ubool'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$unat','tc$ubool'),'v$un'),'tc$ubool','tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),hAPP('c$uCOMBC'(hAPP('c$uCOMBC'('c$uCOMBB'('c$uArrow$u$uOrder$u$uMirabelle$uOabove','v$uP','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'v$uc'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$ue'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),hAPP('c$uCOMBC'('c$uCOMBB'('c$uArrow$u$uOrder$u$uMirabelle$uOmkbot','v$uP','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$ue'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))))) ) ).
cnf(cls_conjecture_0,negated_conjecture,
~ hBOOL(hAPP(hAPP('c$uin'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'c$uPair'('v$ue','v$ud','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'v$uF'('c$uCOMBS'('c$uCOMBS'('c$uCOMBB'('c$uHOL$uOIf'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),hAPP('c$uCOMBC'('c$uCOMBB'('c$uHOL$uOord$u$uclass$uOless'('tc$unat'),'v$uh','tc$unat','tc$ufun'('tc$unat','tc$ubool'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$unat','tc$ubool'),'v$un'),'tc$ubool','tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),hAPP('c$uCOMBC'('c$uCOMBB'('c$uArrow$u$uOrder$u$uMirabelle$uOmktop','v$uP','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$ue'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'c$uCOMBS'('c$uCOMBS'('c$uCOMBB'('c$uHOL$uOIf'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),hAPP('c$uCOMBC'('c$uCOMBB'('c$ufequal'('tc$unat'),'v$uh','tc$unat','tc$ufun'('tc$unat','tc$ubool'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$unat','tc$ubool'),'v$un'),'tc$ubool','tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),hAPP('c$uCOMBC'(hAPP('c$uCOMBC'('c$uCOMBB'('c$uArrow$u$uOrder$u$uMirabelle$uOabove','v$uP','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'v$uc'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$ue'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),hAPP('c$uCOMBC'('c$uCOMBB'('c$uArrow$u$uOrder$u$uMirabelle$uOmkbot','v$uP','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$ue'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))))) ).
cnf(c561,plain,
'c$ulessequals'(X0,X0,'tc$unat'),
inference(clausification,[status(esa)],[cls_le__refl_0]) ).
cnf(c1271,plain,
( ~ 'c$ulessequals'(X0,'v$un','tc$unat')
| hBOOL(hAPP(hAPP('c$uin'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'c$uPair'('v$ub','v$ua','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'v$uF'(hAPP('c$uCOMBC'(hAPP('c$uCOMBC'('c$uCOMBB'('c$uHOL$uOIf'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),hAPP('c$uCOMBC'('c$uCOMBB'('c$uHOL$uOord$u$uclass$uOless'('tc$unat'),'v$uh','tc$unat','tc$ufun'('tc$unat','tc$ubool'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$unat','tc$ubool'),X0),'tc$ubool','tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'v$uLab'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$uLba')))) ),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c1272,plain,
( ~ hBOOL(hAPP(hAPP('c$uin'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'c$uPair'('v$ub','v$ua','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'v$uF'(hAPP('c$uCOMBC'(hAPP('c$uCOMBC'('c$uCOMBB'('c$uHOL$uOIf'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),hAPP('c$uCOMBC'('c$uCOMBB'('c$uHOL$uOord$u$uclass$uOless'('tc$unat'),'v$uh','tc$unat','tc$ufun'('tc$unat','tc$ubool'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$unat','tc$ubool'),'v$un'),'tc$ubool','tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'v$uLab'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$uLba'))))
| hBOOL(hAPP(hAPP('c$uin'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'c$uPair'('v$ue','v$ud','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'v$uF'('c$uCOMBS'('c$uCOMBS'('c$uCOMBB'('c$uHOL$uOIf'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),hAPP('c$uCOMBC'('c$uCOMBB'('c$uHOL$uOord$u$uclass$uOless'('tc$unat'),'v$uh','tc$unat','tc$ufun'('tc$unat','tc$ubool'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$unat','tc$ubool'),'v$un'),'tc$ubool','tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),hAPP('c$uCOMBC'('c$uCOMBB'('c$uArrow$u$uOrder$u$uMirabelle$uOmktop','v$uP','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$ue'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'c$uCOMBS'('c$uCOMBS'('c$uCOMBB'('c$uHOL$uOIf'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),hAPP('c$uCOMBC'('c$uCOMBB'('c$ufequal'('tc$unat'),'v$uh','tc$unat','tc$ufun'('tc$unat','tc$ubool'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$unat','tc$ubool'),'v$un'),'tc$ubool','tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),hAPP('c$uCOMBC'(hAPP('c$uCOMBC'('c$uCOMBB'('c$uArrow$u$uOrder$u$uMirabelle$uOabove','v$uP','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'v$uc'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$ue'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),hAPP('c$uCOMBC'('c$uCOMBB'('c$uArrow$u$uOrder$u$uMirabelle$uOmkbot','v$uP','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$ue'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))))) ),
inference(clausification,[status(esa)],[cls_CHAINED_1]) ).
cnf(c1274,plain,
~ hBOOL(hAPP(hAPP('c$uin'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'c$uPair'('v$ue','v$ud','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'v$uF'('c$uCOMBS'('c$uCOMBS'('c$uCOMBB'('c$uHOL$uOIf'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),hAPP('c$uCOMBC'('c$uCOMBB'('c$uHOL$uOord$u$uclass$uOless'('tc$unat'),'v$uh','tc$unat','tc$ufun'('tc$unat','tc$ubool'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$unat','tc$ubool'),'v$un'),'tc$ubool','tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),hAPP('c$uCOMBC'('c$uCOMBB'('c$uArrow$u$uOrder$u$uMirabelle$uOmktop','v$uP','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$ue'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'c$uCOMBS'('c$uCOMBS'('c$uCOMBB'('c$uHOL$uOIf'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),hAPP('c$uCOMBC'('c$uCOMBB'('c$ufequal'('tc$unat'),'v$uh','tc$unat','tc$ufun'('tc$unat','tc$ubool'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$unat','tc$ubool'),'v$un'),'tc$ubool','tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),hAPP('c$uCOMBC'(hAPP('c$uCOMBC'('c$uCOMBB'('c$uArrow$u$uOrder$u$uMirabelle$uOabove','v$uP','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'v$uc'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$ue'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),hAPP('c$uCOMBC'('c$uCOMBB'('c$uArrow$u$uOrder$u$uMirabelle$uOmkbot','v$uP','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$ue'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))))),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
~ hBOOL(hAPP(hAPP('c$uin'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'c$uPair'('v$ub','v$ua','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'v$uF'(hAPP('c$uCOMBC'(hAPP('c$uCOMBC'('c$uCOMBB'('c$uHOL$uOIf'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),hAPP('c$uCOMBC'('c$uCOMBB'('c$uHOL$uOord$u$uclass$uOless'('tc$unat'),'v$uh','tc$unat','tc$ufun'('tc$unat','tc$ubool'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$unat','tc$ubool'),'v$un'),'tc$ubool','tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'v$uLab'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$uLba')))),
inference(resolution,[status(thm)],[c1274,c1272]) ).
cnf(d1,plain,
hBOOL(hAPP(hAPP('c$uin'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'c$uPair'('v$ub','v$ua','tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt')),'v$uF'(hAPP('c$uCOMBC'(hAPP('c$uCOMBC'('c$uCOMBB'('c$uHOL$uOIf'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),hAPP('c$uCOMBC'('c$uCOMBB'('c$uHOL$uOord$u$uclass$uOless'('tc$unat'),'v$uh','tc$unat','tc$ufun'('tc$unat','tc$ubool'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$unat','tc$ubool'),'v$un'),'tc$ubool','tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'))),'v$uLab'),'tc$uArrow$u$uOrder$u$uMirabelle$uOindi','tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool'),'tc$ufun'('tc$uprod'('tc$uArrow$u$uOrder$u$uMirabelle$uOalt','tc$uArrow$u$uOrder$u$uMirabelle$uOalt'),'tc$ubool')),'v$uLba')))),
inference(resolution,[status(thm)],[c1271,c561]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT097-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.98 % Computer : n012.cluster.edu
% 0.09/5.98 % Model : x86_64 x86_64
% 0.09/5.98 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.98 % Memory : 8046.5625MB
% 0.09/5.98 % OS : Linux 6.8.0-71-generic
% 0.09/5.98 % CPULimit : 300
% 0.09/5.98 % WCLimit : 300
% 0.09/5.98 % DateTime : Sat Sep 26 06:27:29 UTC 2026
% 0.09/5.99 % CPUTime :
% 0.09/5.99 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 63.00/49.13 % SZS status Unsatisfiable for theBenchmark.p
% 63.00/49.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------