%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV633-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:04:29 AM UTC 2026
% Result : Unsatisfiable 46.24s 8.07s
% Output : CNFRefutation 46.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of clauses : 42 ( 40 unt; 0 nHn; 30 RR)
% Number of literals : 44 ( 39 equ; 21 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_number__of__is__id_0,axiom,
'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'(X0,'tc$uInt$uOint') = X0 ).
cnf(cls_Suc__eq__plus1__left_0,axiom,
'c$uSuc'(X0) = 'c$uHOL$uOplus$u$uclass$uOplus'('c$uHOL$uOone$u$uclass$uOone'('tc$unat'),X0,'tc$unat') ).
cnf(cls_nat__1__add__1_0,axiom,
'c$uHOL$uOplus$u$uclass$uOplus'('c$uHOL$uOone$u$uclass$uOone'('tc$unat'),'c$uHOL$uOone$u$uclass$uOone'('tc$unat'),'tc$unat') = 'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat') ).
cnf(cls_numeral__1__eq__1_0,axiom,
( 'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit1'('c$uInt$uOPls'),X0) = 'c$uHOL$uOone$u$uclass$uOone'(X0)
| ~ 'class$uInt$uOnumber$u$uring'(X0) ) ).
cnf(cls_nat__mult__2__right_0,axiom,
'c$uHOL$uOtimes$u$uclass$uOtimes'(X0,'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'tc$unat') = 'c$uHOL$uOplus$u$uclass$uOplus'(X0,X0,'tc$unat') ).
cnf(cls_nat__mult__assoc_0,axiom,
'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uHOL$uOtimes$u$uclass$uOtimes'(X0,X1,'tc$unat'),X2,'tc$unat') = 'c$uHOL$uOtimes$u$uclass$uOtimes'(X0,'c$uHOL$uOtimes$u$uclass$uOtimes'(X1,X2,'tc$unat'),'tc$unat') ).
cnf(cls_nat__mult__commute_0,axiom,
'c$uHOL$uOtimes$u$uclass$uOtimes'(X0,X1,'tc$unat') = 'c$uHOL$uOtimes$u$uclass$uOtimes'(X1,X0,'tc$unat') ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') ).
cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
'class$uInt$uOnumber$u$uring'('tc$uInt$uOint') ).
cnf(c118,plain,
'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'(X0,'tc$uInt$uOint') = X0,
inference(clausification,[status(esa)],[cls_number__of__is__id_0]) ).
cnf(c311,plain,
'c$uSuc'(X0) = 'c$uHOL$uOplus$u$uclass$uOplus'('c$uHOL$uOone$u$uclass$uOone'('tc$unat'),X0,'tc$unat'),
inference(clausification,[status(esa)],[cls_Suc__eq__plus1__left_0]) ).
cnf(c1254,plain,
'c$uHOL$uOplus$u$uclass$uOplus'('c$uHOL$uOone$u$uclass$uOone'('tc$unat'),'c$uHOL$uOone$u$uclass$uOone'('tc$unat'),'tc$unat') = 'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),
inference(clausification,[status(esa)],[cls_nat__1__add__1_0]) ).
cnf(c1284,plain,
( 'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit1'('c$uInt$uOPls'),X0) = 'c$uHOL$uOone$u$uclass$uOone'(X0)
| ~ 'class$uInt$uOnumber$u$uring'(X0) ),
inference(clausification,[status(esa)],[cls_numeral__1__eq__1_0]) ).
cnf(c1305,plain,
'c$uHOL$uOtimes$u$uclass$uOtimes'(X0,'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'tc$unat') = 'c$uHOL$uOplus$u$uclass$uOplus'(X0,X0,'tc$unat'),
inference(clausification,[status(esa)],[cls_nat__mult__2__right_0]) ).
cnf(c1325,plain,
'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uHOL$uOtimes$u$uclass$uOtimes'(X0,X1,'tc$unat'),X2,'tc$unat') = 'c$uHOL$uOtimes$u$uclass$uOtimes'(X0,'c$uHOL$uOtimes$u$uclass$uOtimes'(X1,X2,'tc$unat'),'tc$unat'),
inference(clausification,[status(esa)],[cls_nat__mult__assoc_0]) ).
cnf(c1345,plain,
'c$uHOL$uOtimes$u$uclass$uOtimes'(X0,X1,'tc$unat') = 'c$uHOL$uOtimes$u$uclass$uOtimes'(X1,X0,'tc$unat'),
inference(clausification,[status(esa)],[cls_nat__mult__commute_0]) ).
cnf(c1351,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1444,plain,
'class$uInt$uOnumber$u$uring'('tc$uInt$uOint'),
inference(clausification,[status(esa)],[clsarity_Int__Oint__Int_Onumber__ring]) ).
cnf(d0,plain,
'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit1'('c$uInt$uOPls'),'tc$uInt$uOint') = 'c$uHOL$uOone$u$uclass$uOone'('tc$uInt$uOint'),
inference(resolution,[status(thm)],[c1284,c1444]) ).
cnf(d1,plain,
'c$uInt$uOBit1'('c$uInt$uOPls') = 'c$uHOL$uOone$u$uclass$uOone'('tc$uInt$uOint'),
inference(demodulation,[status(thm)],[d0,c118]) ).
cnf(d2,plain,
'c$uSuc'('c$uHOL$uOone$u$uclass$uOone'('tc$unat')) = 'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),
inference(demodulation,[status(thm)],[c1254,c311]) ).
cnf(d3,plain,
'c$uSuc'('c$uHOL$uOone$u$uclass$uOone'('tc$unat')) = 'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uHOL$uOone$u$uclass$uOone'('tc$uInt$uOint')),'tc$unat'),
inference(demodulation,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
'c$uHOL$uOtimes$u$uclass$uOtimes'(X0,'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uHOL$uOone$u$uclass$uOone'('tc$uInt$uOint')),'tc$unat'),'tc$unat') = 'c$uHOL$uOplus$u$uclass$uOplus'(X0,X0,'tc$unat'),
inference(demodulation,[status(thm)],[c1305,d1]) ).
cnf(d5,plain,
'c$uHOL$uOtimes$u$uclass$uOtimes'(X0,'c$uSuc'('c$uHOL$uOone$u$uclass$uOone'('tc$unat')),'tc$unat') = 'c$uHOL$uOplus$u$uclass$uOplus'(X0,X0,'tc$unat'),
inference(demodulation,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('v$um','c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[c1351,c1345]) ).
cnf(d7,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('v$um','c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uHOL$uOone$u$uclass$uOone'('tc$uInt$uOint')),'tc$unat'),'tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('v$um','c$uSuc'('c$uHOL$uOone$u$uclass$uOone'('tc$unat')),'tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOtimes$u$uclass$uOtimes'('v$uj','c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d9,c1345]) ).
cnf(d11,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOtimes$u$uclass$uOtimes'('v$uj','c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uHOL$uOone$u$uclass$uOone'('tc$uInt$uOint')),'tc$unat'),'tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d10,d1]) ).
cnf(d12,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOtimes$u$uclass$uOtimes'('v$uj','c$uSuc'('c$uHOL$uOone$u$uclass$uOone'('tc$unat')),'tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d11,d3]) ).
cnf(d13,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOplus$u$uclass$uOplus'('v$uj','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d12,d5]) ).
cnf(d14,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOplus$u$uclass$uOplus'('v$uj','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('v$um','c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d13,c1345]) ).
cnf(d15,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOplus$u$uclass$uOplus'('v$uj','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('v$um','c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uHOL$uOone$u$uclass$uOone'('tc$uInt$uOint')),'tc$unat'),'tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d14,d1]) ).
cnf(d16,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOplus$u$uclass$uOplus'('v$uj','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOtimes$u$uclass$uOtimes'('v$um','c$uSuc'('c$uHOL$uOone$u$uclass$uOone'('tc$unat')),'tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d15,d3]) ).
cnf(d17,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOplus$u$uclass$uOplus'('v$uj','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d16,d5]) ).
cnf(d18,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOplus$u$uclass$uOplus'('v$uj','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','v$uj','tc$unat'),'c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d17,c1345]) ).
cnf(d19,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOplus$u$uclass$uOplus'('v$uj','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOtimes$u$uclass$uOtimes'('v$uj','c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uInt$uOBit1'('c$uInt$uOPls')),'tc$unat'),'tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d18,c1325]) ).
cnf(d20,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOplus$u$uclass$uOplus'('v$uj','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOtimes$u$uclass$uOtimes'('v$uj','c$uInt$uOnumber$u$uclass$uOnumber$u$uof'('c$uInt$uOBit0'('c$uHOL$uOone$u$uclass$uOone'('tc$uInt$uOint')),'tc$unat'),'tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d19,d1]) ).
cnf(d21,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOplus$u$uclass$uOplus'('v$uj','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOtimes$u$uclass$uOtimes'('v$uj','c$uSuc'('c$uHOL$uOone$u$uclass$uOone'('tc$unat')),'tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d20,d3]) ).
cnf(d22,plain,
'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOplus$u$uclass$uOplus'('v$uj','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex') != 'c$uPower$uOpower$u$uclass$uOpower'('c$uFFT$u$uMirabelle$uOroot'('c$uHOL$uOplus$u$uclass$uOplus'('v$um','v$um','tc$unat')),'c$uHOL$uOtimes$u$uclass$uOtimes'('v$ui','c$uHOL$uOplus$u$uclass$uOplus'('v$uj','v$uj','tc$unat'),'tc$unat'),'tc$uComplex$uOcomplex'),
inference(demodulation,[status(thm)],[d21,d5]) ).
cnf(d23,plain,
$false,
inference(equality_resolution,[status(thm)],[d22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV633-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.36 % Computer : n013.cluster.edu
% 0.06/0.36 % Model : x86_64 x86_64
% 0.06/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.36 % Memory : 8046.5625MB
% 0.06/0.36 % OS : Linux 6.8.0-71-generic
% 0.06/0.36 % CPULimit : 300
% 0.06/0.36 % WCLimit : 300
% 0.06/0.36 % DateTime : Sat Sep 26 14:38:36 UTC 2026
% 0.06/0.36 % CPUTime :
% 0.06/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.24/8.07 % SZS status Unsatisfiable for theBenchmark.p
% 46.24/8.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------