TSTP Solution File: SWV706-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV706-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:19:43 EDT 2024
% Result : Unsatisfiable 50.73s 7.59s
% Output : CNFRefutation 50.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 26 ( 16 unt; 0 nHn; 13 RR)
% Number of literals : 36 ( 23 equ; 15 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-5 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_630,plain,
hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_One__nat__def_0) ).
cnf(c_1592,plain,
hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comp__arith_I115_J_0) ).
cnf(c_1632,plain,
( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat)
| c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),X1,X0) = hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc_Ohyps_0) ).
cnf(c_1714,plain,
( ~ class_Power_Opower(X0)
| hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power__Suc_0) ).
cnf(c_1718,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I7_J_0) ).
cnf(c_1743,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_1744,negated_conjecture,
c_HOL_Ominus__class_Ominus(c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_Complex_Ocomplex,tc_nat),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____)))),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat))),c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat))),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(hAPP(c_FFT__Mirabelle_OFFT(v_ka____,c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____)))),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat))),hAPP(c_FFT__Mirabelle_OFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat))),tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_1780,plain,
class_Power_Opower(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Power_Opower) ).
cnf(c_1844,plain,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
cnf(c_3432,plain,
( ~ class_Power_Opower(X0)
| hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) ),
inference(prop_impl_just,[status(thm)],[c_1714]) ).
cnf(c_3504,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1) ),
inference(prop_impl_just,[status(thm)],[c_1718]) ).
cnf(c_4072,plain,
( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat)
| c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),X1,X0) = hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X1),X0) ),
inference(prop_impl_just,[status(thm)],[c_1632]) ).
cnf(c_15218,plain,
c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat) = hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat)),
inference(light_normalisation,[status(thm)],[c_1592,c_630]) ).
cnf(c_18287,plain,
c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat),
inference(light_normalisation,[status(thm)],[c_1743,c_15218]) ).
cnf(c_20489,plain,
( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat)
| c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),X1,X0) = hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X1),X0) ),
inference(light_normalisation,[status(thm)],[c_4072,c_15218]) ).
cnf(c_22130,plain,
c_HOL_Ominus__class_Ominus(c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),tc_nat,tc_Complex_Ocomplex,tc_nat),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____)))),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat))),c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat))),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(hAPP(c_FFT__Mirabelle_OFFT(v_ka____,c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____)))),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat))),hAPP(c_FFT__Mirabelle_OFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat))),tc_Complex_Ocomplex),
inference(light_normalisation,[status(thm)],[c_1744,c_15218]) ).
cnf(c_26840,plain,
( X0 != tc_nat
| hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(c_Suc,X2)) ),
inference(resolution_lifted,[status(thm)],[c_3432,c_1780]) ).
cnf(c_26841,plain,
hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),X0),X1)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),X0),hAPP(c_Suc,X1)),
inference(unflattening,[status(thm)],[c_26840]) ).
cnf(c_27695,plain,
( X0 != tc_Complex_Ocomplex
| hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1) ),
inference(resolution_lifted,[status(thm)],[c_3504,c_1844]) ).
cnf(c_27696,plain,
hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X0),
inference(unflattening,[status(thm)],[c_27695]) ).
cnf(c_42155,plain,
c_HOL_Ominus__class_Ominus(c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),tc_nat,tc_Complex_Ocomplex,tc_nat),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),hAPP(c_Suc,v_ka____)))),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat))),c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat))),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(hAPP(c_FFT__Mirabelle_OFFT(v_ka____,c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),hAPP(c_Suc,v_ka____)))),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat))),hAPP(c_FFT__Mirabelle_OFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat))),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_22130,c_26841,c_27696]) ).
cnf(c_52989,plain,
( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat)
| c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),X1,X0) = hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X1),X0) ),
inference(prop_impl_just,[status(thm)],[c_20489]) ).
cnf(c_163119,plain,
c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),X0,c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat)) = hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X0),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat)),
inference(superposition,[status(thm)],[c_18287,c_52989]) ).
cnf(c_163311,plain,
c_HOL_Ominus__class_Ominus(hAPP(c_FFT__Mirabelle_OFFT(v_ka____,c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),hAPP(c_Suc,v_ka____)))),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat))),c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat))),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(hAPP(c_FFT__Mirabelle_OFFT(v_ka____,c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),hAPP(c_Suc,v_ka____)))),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat))),hAPP(c_FFT__Mirabelle_OFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat))),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_42155,c_163119]) ).
cnf(c_173843,plain,
c_HOL_Ominus__class_Ominus(hAPP(c_FFT__Mirabelle_OFFT(v_ka____,c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),hAPP(c_Suc,v_ka____)))),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat))),hAPP(c_FFT__Mirabelle_OFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat))),tc_Complex_Ocomplex) != c_HOL_Ominus__class_Ominus(hAPP(c_FFT__Mirabelle_OFFT(v_ka____,c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),hAPP(c_Suc,v_ka____)))),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat))),hAPP(c_FFT__Mirabelle_OFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),c_HOL_Ominus__class_Ominus(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),hAPP(c_Suc,c_HOL_Oone__class_Oone(tc_nat))),v_ka____),tc_nat))),tc_Complex_Ocomplex),
inference(demodulation,[status(thm)],[c_163311,c_163119]) ).
cnf(c_173844,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_173843]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV706-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.09 % Command : run_iprover %s %d THM
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Fri May 3 00:16:53 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 50.73/7.59 % SZS status Started for theBenchmark.p
% 50.73/7.59 % SZS status Unsatisfiable for theBenchmark.p
% 50.73/7.59
% 50.73/7.59 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 50.73/7.59
% 50.73/7.59 ------ iProver source info
% 50.73/7.59
% 50.73/7.59 git: date: 2024-05-02 19:28:25 +0000
% 50.73/7.59 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 50.73/7.59 git: non_committed_changes: false
% 50.73/7.59
% 50.73/7.59 ------ Parsing...successful
% 50.73/7.59
% 50.73/7.59
% 50.73/7.59
% 50.73/7.59 ------ Preprocessing... sup_sim: 191 sf_s rm: 256 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e sup_sim: 228 sf_s rm: 66 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 66 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 66 0s sf_e pe_s pe_e
% 50.73/7.59
% 50.73/7.59 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 50.73/7.59
% 50.73/7.59 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 50.73/7.59 ------ Proving...
% 50.73/7.59 ------ Problem Properties
% 50.73/7.59
% 50.73/7.59
% 50.73/7.59 clauses 1056
% 50.73/7.59 conjectures 0
% 50.73/7.59 EPR 40
% 50.73/7.59 Horn 860
% 50.73/7.59 unary 411
% 50.73/7.59 binary 392
% 50.73/7.59 lits 2002
% 50.73/7.59 lits eq 824
% 50.73/7.59 fd_pure 0
% 50.73/7.59 fd_pseudo 0
% 50.73/7.59 fd_cond 104
% 50.73/7.59 fd_pseudo_cond 59
% 50.73/7.59 AC symbols 0
% 50.73/7.59
% 50.73/7.59 ------ Schedule dynamic 5 is on
% 50.73/7.59
% 50.73/7.59 ------ no conjectures: strip conj schedule
% 50.73/7.59
% 50.73/7.59 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 50.73/7.59
% 50.73/7.59
% 50.73/7.59 ------
% 50.73/7.59 Current options:
% 50.73/7.59 ------
% 50.73/7.59
% 50.73/7.59
% 50.73/7.59
% 50.73/7.59
% 50.73/7.59 ------ Proving...
% 50.73/7.59
% 50.73/7.59
% 50.73/7.59 % SZS status Unsatisfiable for theBenchmark.p
% 50.73/7.59
% 50.73/7.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 50.73/7.59
% 50.73/7.59
%------------------------------------------------------------------------------