%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV706-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 01:26:16 PM UTC 2026
% Result : Unsatisfiable 8.03s 4.09s
% Output : Refutation 8.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 42
% Syntax : Number of formulae : 110 ( 83 unt; 29 def)
% Number of atoms : 140 ( 110 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 16 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 50 ( 50 usr; 36 con; 0-5 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f582,axiom,
! [X0] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le0_0) ).
fof(f724,axiom,
! [X0,X1] :
( ~ class_Divides_Osemiring__div(X0)
| c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__self_0) ).
fof(f725,plain,
! [X0,X1] :
( ~ class_Divides_Osemiring__div(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_Divides_Odiv__class_Omod(X1,X1,X0) ),
inference(reorient_equations,[],[f724]) ).
fof(f829,axiom,
! [X2,X3,X0,X1] :
( ~ c_HOL_Oord__class_Oless(X3,X2,X0)
| c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ c_lessequals(X1,X3,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I7_J_0) ).
fof(f1247,axiom,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| hAPP(c_Suc,c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__diff__1_0) ).
fof(f1491,axiom,
! [X0,X1] :
( ~ c_lessequals(hAPP(c_Suc,X0),X1,tc_nat)
| c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__le__eq_0) ).
fof(f1506,axiom,
! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) != hAPP(c_Suc,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zero__neq__Suc_0) ).
fof(f1509,axiom,
! [X0,X1] :
( c_lessequals(hAPP(c_Suc,X0),X1,tc_nat)
| c_lessequals(X1,X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq__eq_0) ).
fof(f1549,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
| c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__if_0) ).
fof(f2000,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X1,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____),X0,X1) = hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc_Ohyps_0) ).
fof(f2133,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f2134,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f2166,axiom,
class_Divides_Osemiring__div(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Divides_Osemiring__div) ).
fof(f2169,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
fof(f2267,definition,
sF0 = c_HOL_Otimes__class_Otimes(tc_nat),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f2268,plain,
c_HOL_Otimes__class_Otimes(tc_nat) = sF0,
inference(reorient_equations,[],[f2267]) ).
fof(f2269,definition,
sF1 = c_Int_OBit1(c_Int_OPls),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f2270,plain,
c_Int_OBit1(c_Int_OPls) = sF1,
inference(reorient_equations,[],[f2269]) ).
fof(f2271,definition,
sF2 = c_Int_OBit0(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f2272,plain,
c_Int_OBit0(sF1) = sF2,
inference(reorient_equations,[],[f2271]) ).
fof(f2273,definition,
sF3 = c_Int_Onumber__class_Onumber__of(sF2,tc_nat),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f2274,plain,
c_Int_Onumber__class_Onumber__of(sF2,tc_nat) = sF3,
inference(reorient_equations,[],[f2273]) ).
fof(f2275,definition,
sF4 = hAPP(sF0,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f2276,plain,
hAPP(sF0,sF3) = sF4,
inference(reorient_equations,[],[f2275]) ).
fof(f2277,definition,
sF5 = c_Power_Opower__class_Opower(tc_nat),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f2278,plain,
c_Power_Opower__class_Opower(tc_nat) = sF5,
inference(reorient_equations,[],[f2277]) ).
fof(f2279,definition,
sF6 = hAPP(sF5,sF3),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f2280,plain,
hAPP(sF5,sF3) = sF6,
inference(reorient_equations,[],[f2279]) ).
fof(f2281,definition,
sF7 = hAPP(sF6,v_ka____),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f2282,plain,
hAPP(sF6,v_ka____) = sF7,
inference(reorient_equations,[],[f2281]) ).
fof(f2283,definition,
sF8 = hAPP(sF4,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f2284,plain,
hAPP(sF4,sF7) = sF8,
inference(reorient_equations,[],[f2283]) ).
fof(f2286,definition,
sF9 = c_HOL_Ominus__class_Ominus(v_i____,sF7,tc_nat),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f2287,plain,
c_HOL_Ominus__class_Ominus(v_i____,sF7,tc_nat) = sF9,
inference(reorient_equations,[],[f2286]) ).
fof(f2288,plain,
c_HOL_Oord__class_Oless(sF9,sF7,tc_nat),
inference(definition_folding,[],[f2133,f2282,f2280,f2274,f2272,f2270,f2278,f2287,f2282,f2280,f2274,f2272,f2270,f2278]) ).
fof(f2289,definition,
sF10 = c_COMBB(v_a____,sF4,tc_nat,tc_Complex_Ocomplex,tc_nat),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f2290,plain,
c_COMBB(v_a____,sF4,tc_nat,tc_Complex_Ocomplex,tc_nat) = sF10,
inference(reorient_equations,[],[f2289]) ).
fof(f2291,definition,
sF11 = c_FFT__Mirabelle_ODFT(sF7,sF10,sF9),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f2292,plain,
c_FFT__Mirabelle_ODFT(sF7,sF10,sF9) = sF11,
inference(reorient_equations,[],[f2291]) ).
fof(f2293,definition,
sF12 = c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f2294,plain,
c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex) = sF12,
inference(reorient_equations,[],[f2293]) ).
fof(f2295,definition,
sF13 = c_Power_Opower__class_Opower(tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f2296,plain,
c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = sF13,
inference(reorient_equations,[],[f2295]) ).
fof(f2297,definition,
sF14 = c_FFT__Mirabelle_Oroot(sF8),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f2298,plain,
c_FFT__Mirabelle_Oroot(sF8) = sF14,
inference(reorient_equations,[],[f2297]) ).
fof(f2299,definition,
sF15 = hAPP(sF13,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f2300,plain,
hAPP(sF13,sF14) = sF15,
inference(reorient_equations,[],[f2299]) ).
fof(f2301,definition,
sF16 = hAPP(sF15,sF9),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f2302,plain,
hAPP(sF15,sF9) = sF16,
inference(reorient_equations,[],[f2301]) ).
fof(f2303,definition,
sF17 = hAPP(sF12,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f2304,plain,
hAPP(sF12,sF16) = sF17,
inference(reorient_equations,[],[f2303]) ).
fof(f2305,definition,
sF18 = c_COMBB(c_Suc,sF4,tc_nat,tc_nat,tc_nat),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f2306,plain,
c_COMBB(c_Suc,sF4,tc_nat,tc_nat,tc_nat) = sF18,
inference(reorient_equations,[],[f2305]) ).
fof(f2307,definition,
sF19 = c_COMBB(v_a____,sF18,tc_nat,tc_Complex_Ocomplex,tc_nat),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f2308,plain,
c_COMBB(v_a____,sF18,tc_nat,tc_Complex_Ocomplex,tc_nat) = sF19,
inference(reorient_equations,[],[f2307]) ).
fof(f2309,definition,
sF20 = c_FFT__Mirabelle_ODFT(sF7,sF19,sF9),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f2310,plain,
c_FFT__Mirabelle_ODFT(sF7,sF19,sF9) = sF20,
inference(reorient_equations,[],[f2309]) ).
fof(f2311,definition,
sF21 = hAPP(sF17,sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f2312,plain,
hAPP(sF17,sF20) = sF21,
inference(reorient_equations,[],[f2311]) ).
fof(f2313,definition,
sF22 = c_HOL_Ominus__class_Ominus(sF11,sF21,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f2314,plain,
c_HOL_Ominus__class_Ominus(sF11,sF21,tc_Complex_Ocomplex) = sF22,
inference(reorient_equations,[],[f2313]) ).
fof(f2315,definition,
sF23 = c_FFT__Mirabelle_OFFT(v_ka____,sF10),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f2316,plain,
c_FFT__Mirabelle_OFFT(v_ka____,sF10) = sF23,
inference(reorient_equations,[],[f2315]) ).
fof(f2317,definition,
sF24 = hAPP(sF23,sF9),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f2318,plain,
hAPP(sF23,sF9) = sF24,
inference(reorient_equations,[],[f2317]) ).
fof(f2319,definition,
sF25 = c_FFT__Mirabelle_OFFT(v_ka____,sF19),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f2320,plain,
c_FFT__Mirabelle_OFFT(v_ka____,sF19) = sF25,
inference(reorient_equations,[],[f2319]) ).
fof(f2321,definition,
sF26 = hAPP(sF25,sF9),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f2322,plain,
hAPP(sF25,sF9) = sF26,
inference(reorient_equations,[],[f2321]) ).
fof(f2323,definition,
sF27 = hAPP(sF17,sF26),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f2324,plain,
hAPP(sF17,sF26) = sF27,
inference(reorient_equations,[],[f2323]) ).
fof(f2325,definition,
sF28 = c_HOL_Ominus__class_Ominus(sF24,sF27,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f2326,plain,
c_HOL_Ominus__class_Ominus(sF24,sF27,tc_Complex_Ocomplex) = sF28,
inference(reorient_equations,[],[f2325]) ).
fof(f2327,plain,
sF22 != sF28,
inference(definition_folding,[],[f2134,f2326,f2324,f2322,f2287,f2282,f2280,f2274,f2272,f2270,f2278,f2320,f2308,f2306,f2276,f2274,f2272,f2270,f2268,f2304,f2302,f2287,f2282,f2280,f2274,f2272,f2270,f2278,f2300,f2298,f2284,f2282,f2280,f2274,f2272,f2270,f2278,f2276,f2274,f2272,f2270,f2268,f2296,f2294,f2318,f2287,f2282,f2280,f2274,f2272,f2270,f2278,f2316,f2290,f2276,f2274,f2272,f2270,f2268,f2314,f2312,f2310,f2287,f2282,f2280,f2274,f2272,f2270,f2278,f2308,f2306,f2276,f2274,f2272,f2270,f2268,f2282,f2280,f2274,f2272,f2270,f2278,f2304,f2302,f2287,f2282,f2280,f2274,f2272,f2270,f2278,f2300,f2298,f2284,f2282,f2280,f2274,f2272,f2270,f2278,f2276,f2274,f2272,f2270,f2268,f2296,f2294,f2292,f2287,f2282,f2280,f2274,f2272,f2270,f2278,f2290,f2276,f2274,f2272,f2270,f2268,f2282,f2280,f2274,f2272,f2270,f2278]) ).
fof(f2544,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) = c_Divides_Odiv__class_Omod(X0,X0,tc_nat),
inference(resolution,[],[f725,f2166]) ).
fof(f2997,plain,
! [X0,X1] :
( c_lessequals(X0,X1,tc_nat)
| c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
inference(resolution,[],[f1509,f1491]) ).
fof(f8555,plain,
! [X0] :
( c_HOL_Oord__class_Oless(X0,sF7,tc_nat)
| ~ c_lessequals(X0,sF9,tc_nat)
| ~ class_Orderings_Oorder(tc_nat) ),
inference(resolution,[],[f829,f2288]) ).
fof(f8592,plain,
! [X0] :
( ~ c_lessequals(X0,sF9,tc_nat)
| c_HOL_Oord__class_Oless(X0,sF7,tc_nat) ),
inference(forward_subsumption_resolution,[],[f8555,f2169]) ).
fof(f8983,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),sF7,tc_nat),
inference(resolution,[],[f8592,f582]) ).
fof(f8996,plain,
! [X0] :
( c_HOL_Oord__class_Oless(X0,sF7,tc_nat)
| c_HOL_Oord__class_Oless(sF9,X0,tc_nat) ),
inference(resolution,[],[f8592,f2997]) ).
fof(f9986,plain,
sF7 = hAPP(c_Suc,c_HOL_Ominus__class_Ominus(sF7,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),
inference(resolution,[],[f1247,f8983]) ).
fof(f10601,plain,
! [X0] :
( c_HOL_Oord__class_Oless(sF9,X0,tc_nat)
| c_Divides_Odiv__class_Omod(X0,sF7,tc_nat) = X0 ),
inference(resolution,[],[f8996,f1549]) ).
fof(f14610,plain,
c_HOL_Ozero__class_Ozero(tc_nat) != sF7,
inference(superposition,[],[f1506,f9986]) ).
fof(f73405,plain,
! [X0] :
( 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____),X0,sF9) = hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X0),sF9)
| 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_Divides_Odiv__class_Omod(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____),sF7,tc_nat) ),
inference(resolution,[],[f2000,f10601]) ).
fof(f73428,plain,
! [X0] :
( hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X0),sF9) = c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF1),tc_nat)),v_ka____),X0,sF9)
| 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_Divides_Odiv__class_Omod(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____),sF7,tc_nat) ),
inference(forward_demodulation,[],[f73405,f2270]) ).
fof(f73461,plain,
! [X0] :
( hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X0),sF9) = c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(sF2,tc_nat)),v_ka____),X0,sF9)
| 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_Divides_Odiv__class_Omod(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____),sF7,tc_nat) ),
inference(forward_demodulation,[],[f73428,f2272]) ).
fof(f73494,plain,
! [X0] :
( hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X0),sF9) = c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),sF3),v_ka____),X0,sF9)
| 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_Divides_Odiv__class_Omod(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____),sF7,tc_nat) ),
inference(forward_demodulation,[],[f73461,f2274]) ).
fof(f73527,plain,
! [X0] :
( hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X0),sF9) = c_FFT__Mirabelle_ODFT(hAPP(hAPP(sF5,sF3),v_ka____),X0,sF9)
| 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_Divides_Odiv__class_Omod(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____),sF7,tc_nat) ),
inference(forward_demodulation,[],[f73494,f2278]) ).
fof(f73560,plain,
! [X0] :
( hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X0),sF9) = c_FFT__Mirabelle_ODFT(hAPP(sF6,v_ka____),X0,sF9)
| 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_Divides_Odiv__class_Omod(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____),sF7,tc_nat) ),
inference(forward_demodulation,[],[f73527,f2280]) ).
fof(f73593,plain,
! [X0] :
( hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X0),sF9) = c_FFT__Mirabelle_ODFT(sF7,X0,sF9)
| 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_Divides_Odiv__class_Omod(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____),sF7,tc_nat) ),
inference(forward_demodulation,[],[f73560,f2282]) ).
fof(f73626,plain,
! [X0] :
( hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF1),tc_nat)),v_ka____) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF1),tc_nat)),v_ka____),sF7,tc_nat)
| hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X0),sF9) = c_FFT__Mirabelle_ODFT(sF7,X0,sF9) ),
inference(forward_demodulation,[],[f73593,f2270]) ).
fof(f73659,plain,
! [X0] :
( hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(sF2,tc_nat)),v_ka____) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(sF2,tc_nat)),v_ka____),sF7,tc_nat)
| hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X0),sF9) = c_FFT__Mirabelle_ODFT(sF7,X0,sF9) ),
inference(forward_demodulation,[],[f73626,f2272]) ).
fof(f73690,plain,
! [X0] :
( hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),sF3),v_ka____) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),sF3),v_ka____),sF7,tc_nat)
| hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X0),sF9) = c_FFT__Mirabelle_ODFT(sF7,X0,sF9) ),
inference(forward_demodulation,[],[f73659,f2274]) ).
fof(f73715,plain,
! [X0] :
( hAPP(hAPP(sF5,sF3),v_ka____) = c_Divides_Odiv__class_Omod(hAPP(hAPP(sF5,sF3),v_ka____),sF7,tc_nat)
| hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X0),sF9) = c_FFT__Mirabelle_ODFT(sF7,X0,sF9) ),
inference(forward_demodulation,[],[f73690,f2278]) ).
fof(f73738,plain,
! [X0] :
( hAPP(sF6,v_ka____) = c_Divides_Odiv__class_Omod(hAPP(sF6,v_ka____),sF7,tc_nat)
| hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X0),sF9) = c_FFT__Mirabelle_ODFT(sF7,X0,sF9) ),
inference(forward_demodulation,[],[f73715,f2280]) ).
fof(f73758,plain,
! [X0] :
( sF7 = c_Divides_Odiv__class_Omod(sF7,sF7,tc_nat)
| hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X0),sF9) = c_FFT__Mirabelle_ODFT(sF7,X0,sF9) ),
inference(forward_demodulation,[],[f73738,f2282]) ).
fof(f73778,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_nat) = sF7
| hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X0),sF9) = c_FFT__Mirabelle_ODFT(sF7,X0,sF9) ),
inference(forward_demodulation,[],[f73758,f2544]) ).
fof(f73788,plain,
! [X0] : hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X0),sF9) = c_FFT__Mirabelle_ODFT(sF7,X0,sF9),
inference(forward_subsumption_resolution,[],[f73778,f14610]) ).
fof(f76073,plain,
c_FFT__Mirabelle_ODFT(sF7,sF10,sF9) = hAPP(sF23,sF9),
inference(superposition,[],[f73788,f2316]) ).
fof(f76074,plain,
c_FFT__Mirabelle_ODFT(sF7,sF19,sF9) = hAPP(sF25,sF9),
inference(superposition,[],[f73788,f2320]) ).
fof(f76076,plain,
c_FFT__Mirabelle_ODFT(sF7,sF19,sF9) = sF26,
inference(forward_demodulation,[],[f76074,f2322]) ).
fof(f76077,plain,
c_FFT__Mirabelle_ODFT(sF7,sF10,sF9) = sF24,
inference(forward_demodulation,[],[f76073,f2318]) ).
fof(f76078,plain,
sF20 = sF26,
inference(forward_demodulation,[],[f76076,f2310]) ).
fof(f76079,plain,
sF11 = sF24,
inference(forward_demodulation,[],[f76077,f2292]) ).
fof(f76593,plain,
hAPP(sF17,sF20) = sF27,
inference(superposition,[],[f2324,f76078]) ).
fof(f76594,plain,
sF21 = sF27,
inference(forward_demodulation,[],[f76593,f2312]) ).
fof(f76880,plain,
sF28 = c_HOL_Ominus__class_Ominus(sF11,sF27,tc_Complex_Ocomplex),
inference(superposition,[],[f2326,f76079]) ).
fof(f76881,plain,
c_HOL_Ominus__class_Ominus(sF11,sF21,tc_Complex_Ocomplex) = sF28,
inference(forward_demodulation,[],[f76880,f76594]) ).
fof(f76882,plain,
sF22 = sF28,
inference(forward_demodulation,[],[f76881,f2314]) ).
fof(f76883,plain,
$false,
inference(forward_subsumption_resolution,[],[f76882,f2327]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV706-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n003.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 12:20:57 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.25/2.00 % (1550300)Will run a generic schedule for satisfiability detection.
% 9.25/2.00 % (1550310)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1248237915:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 9.25/2.00 % (1550306)% WARNING: option uhcvi not known.
% 9.25/2.00 % (1550305)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3829325373_2999 on theBenchmark for (2999ds/0Mi)
% 9.25/2.00 % (1550306)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=340475743:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 9.25/2.00 % (1550308)dis+10_1_sil=32000:sp=arity:random_seed=798123934:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 9.25/2.00 % (1550309)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=326963697:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 9.25/2.00 % (1550311)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1224960433:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 9.25/2.00 % (1550307)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=953457116:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 9.25/2.00 % (1550310)Instruction limit reached!
% 9.25/2.00 % (1550310)------------------------------
% 9.25/2.00 % (1550310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.25/2.00 % (1550310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/2.00 % (1550310)CaDiCaL version: 2.1.3
% 9.25/2.00 % (1550310)Termination reason: Instruction limit
% 9.25/2.00 % (1550310)Termination phase: Saturation
% 9.25/2.00 % (1550310)Time elapsed: 0.043 s
% 9.25/2.00 % (1550310)Peak memory usage: 15 MB
% 9.25/2.00 % (1550310)Instructions burned: 131 (million)
% 9.25/2.00 % (1550309)Instruction limit reached!
% 9.25/2.00 % (1550309)------------------------------
% 9.25/2.00 % (1550309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.25/2.00 % (1550309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/2.00 % (1550309)CaDiCaL version: 2.1.3
% 9.25/2.00 % (1550309)Termination reason: Instruction limit
% 9.25/2.00 % (1550309)Termination phase: Saturation
% 9.25/2.00 % (1550309)Time elapsed: 0.061 s
% 9.25/2.00 % (1550309)Peak memory usage: 14 MB
% 9.25/2.00 % (1550309)Instructions burned: 116 (million)
% 9.25/2.00 % (1550308)Instruction limit reached!
% 9.25/2.00 % (1550308)------------------------------
% 9.25/2.00 % (1550308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.25/2.00 % (1550308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/2.00 % (1550308)CaDiCaL version: 2.1.3
% 9.25/2.00 % (1550308)Termination reason: Instruction limit
% 9.25/2.00 % (1550308)Termination phase: Saturation
% 9.25/2.00 % (1550308)Time elapsed: 0.062 s
% 9.25/2.00 % (1550308)Peak memory usage: 14 MB
% 9.25/2.00 % (1550308)Instructions burned: 104 (million)
% 9.25/2.00 % (1550319)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3390577092:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 9.25/2.00 % (1550320)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2524368133:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 9.25/2.00 % (1550321)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=82790025:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 9.25/2.00 % (1550311)Instruction limit reached!
% 9.25/2.00 % (1550311)------------------------------
% 9.25/2.00 % (1550311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.25/2.00 % (1550311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/2.00 % (1550311)CaDiCaL version: 2.1.3
% 9.25/2.00 % (1550311)Termination reason: Instruction limit
% 9.25/2.00 % (1550311)Termination phase: Saturation
% 9.25/2.00 % (1550311)Time elapsed: 0.108 s
% 9.25/2.00 % (1550311)Peak memory usage: 15 MB
% 9.25/2.00 % (1550311)Instructions burned: 159 (million)
% 9.25/2.00 % (1550325)ott-21_1_sil=16000:fs=off:random_seed=4068430156:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 9.25/2.00 % (1550320)Instruction limit reached!
% 9.25/2.00 % (1550320)------------------------------
% 9.25/2.00 % (1550320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.25/2.00 % (1550320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/2.00 % (1550320)CaDiCaL version: 2.1.3
% 8.03/4.08 % (1550320)Termination reason: Instruction limit
% 8.03/4.08 % (1550320)Termination phase: Saturation
% 8.03/4.08 % (1550320)Time elapsed: 0.078 s
% 8.03/4.08 % (1550320)Peak memory usage: 14 MB
% 8.03/4.08 % (1550320)Instructions burned: 132 (million)
% 8.03/4.08 % (1550327)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2780084186:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.03/4.08 % (1550325)Instruction limit reached!
% 8.03/4.08 % (1550325)------------------------------
% 8.03/4.08 % (1550325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/4.08 % (1550325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/4.08 % (1550325)CaDiCaL version: 2.1.3
% 8.03/4.08 % (1550325)Termination reason: Instruction limit
% 8.03/4.08 % (1550325)Termination phase: Saturation
% 8.03/4.08 % (1550325)Time elapsed: 0.095 s
% 8.03/4.08 % (1550325)Peak memory usage: 15 MB
% 8.03/4.08 % (1550325)Instructions burned: 181 (million)
% 8.03/4.08 % (1550329)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2018378811:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 8.03/4.08 % (1550319)Instruction limit reached!
% 8.03/4.08 % (1550319)------------------------------
% 8.03/4.08 % (1550319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/4.08 % (1550319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/4.08 % (1550319)CaDiCaL version: 2.1.3
% 8.03/4.08 % (1550319)Termination reason: Instruction limit
% 8.03/4.08 % (1550319)Termination phase: Finite model building preprocessing
% 8.03/4.08 % (1550319)Time elapsed: 0.188 s
% 8.03/4.08 % (1550319)Peak memory usage: 22 MB
% 8.03/4.08 % (1550319)Instructions burned: 718 (million)
% 8.03/4.08 % (1550331)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3452378:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 8.03/4.08 % TRYING [1]
% 8.03/4.08 % TRYING [2]
% 8.03/4.08 % (1550321)Instruction limit reached!
% 8.03/4.08 % (1550321)------------------------------
% 8.03/4.08 % (1550321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/4.08 % (1550321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/4.08 % (1550321)CaDiCaL version: 2.1.3
% 8.03/4.08 % (1550321)Termination reason: Instruction limit
% 8.03/4.08 % (1550321)Termination phase: Saturation
% 8.03/4.08 % (1550321)Time elapsed: 0.400 s
% 8.03/4.08 % (1550321)Peak memory usage: 17 MB
% 8.03/4.08 % (1550321)Instructions burned: 685 (million)
% 8.03/4.08 % (1550327)Instruction limit reached!
% 8.03/4.08 % (1550327)------------------------------
% 8.03/4.08 % (1550327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/4.08 % (1550327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/4.08 % (1550327)CaDiCaL version: 2.1.3
% 8.03/4.08 % (1550327)Termination reason: Instruction limit
% 8.03/4.08 % (1550327)Termination phase: Saturation
% 8.03/4.08 % (1550327)Time elapsed: 0.311 s
% 8.03/4.08 % (1550327)Peak memory usage: 16 MB
% 8.03/4.08 % (1550327)Instructions burned: 477 (million)
% 8.03/4.08 % (1550333)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=245029118:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 8.03/4.08 % (1550334)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2992382491:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 8.03/4.08 % TRYING [3]
% 8.03/4.08 % (1550331)Instruction limit reached!
% 8.03/4.08 % (1550331)------------------------------
% 8.03/4.08 % (1550331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/4.08 % (1550331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/4.08 % (1550331)CaDiCaL version: 2.1.3
% 8.03/4.08 % (1550331)Termination reason: Instruction limit
% 8.03/4.08 % (1550331)Termination phase: Saturation
% 8.03/4.08 % (1550331)Time elapsed: 0.397 s
% 8.03/4.08 % (1550331)Peak memory usage: 23 MB
% 8.03/4.08 % (1550331)Instructions burned: 1179 (million)
% 8.03/4.08 % (1550337)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2555300814:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 8.03/4.08 % (1550329)Instruction limit reached!
% 8.03/4.08 % (1550329)------------------------------
% 8.03/4.08 % (1550329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/4.08 % (1550329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/4.08 % (1550329)CaDiCaL version: 2.1.3
% 8.03/4.08 % (1550329)Termination reason: Instruction limit
% 8.03/4.08 % (1550329)Termination phase: Finite model building preprocessing
% 8.03/4.08 % (1550329)Time elapsed: 0.445 s
% 8.03/4.08 % (1550329)Peak memory usage: 28 MB
% 8.03/4.08 % (1550329)Instructions burned: 865 (million)
% 8.03/4.08 % (1550339)fmb+10_1_sil=64000:random_seed=2091112079:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 8.03/4.08 % (1550334)Instruction limit reached!
% 8.03/4.08 % (1550334)------------------------------
% 8.03/4.08 % (1550334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/4.08 % (1550334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/4.08 % (1550334)CaDiCaL version: 2.1.3
% 8.03/4.08 % (1550334)Termination reason: Instruction limit
% 8.03/4.08 % (1550334)Termination phase: Saturation
% 8.03/4.08 % (1550334)Time elapsed: 0.376 s
% 8.03/4.08 % (1550334)Peak memory usage: 20 MB
% 8.03/4.08 % (1550334)Instructions burned: 692 (million)
% 8.03/4.08 % (1550341)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1250048482:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 8.03/4.09 % (1550337)Instruction limit reached!
% 8.03/4.09 % (1550337)------------------------------
% 8.03/4.09 % (1550337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/4.09 % (1550337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/4.09 % (1550337)CaDiCaL version: 2.1.3
% 8.03/4.09 % (1550337)Termination reason: Instruction limit
% 8.03/4.09 % (1550337)Termination phase: Saturation
% 8.03/4.09 % (1550337)Time elapsed: 0.250 s
% 8.03/4.09 % (1550337)Peak memory usage: 21 MB
% 8.03/4.09 % (1550337)Instructions burned: 880 (million)
% 8.03/4.09 % (1550333)Instruction limit reached!
% 8.03/4.09 % (1550333)------------------------------
% 8.03/4.09 % (1550333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/4.09 % (1550333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/4.09 % (1550333)CaDiCaL version: 2.1.3
% 8.03/4.09 % (1550333)Termination reason: Instruction limit
% 8.03/4.09 % (1550333)Termination phase: Finite model building constraint generation
% 8.03/4.09 % (1550333)Time elapsed: 0.435 s
% 8.03/4.09 % (1550333)Peak memory usage: 36 MB
% 8.03/4.09 % (1550333)Instructions burned: 891 (million)
% 8.03/4.09 % (1550343)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3189043564:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 8.03/4.09 % (1550345)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=849363801:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 8.03/4.09 % TRYING [1]
% 8.03/4.09 % TRYING [8]
% 8.03/4.09 % (1550343)Instruction limit reached!
% 8.03/4.09 % (1550343)------------------------------
% 8.03/4.09 % (1550343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/4.09 % (1550343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/4.09 % (1550343)CaDiCaL version: 2.1.3
% 8.03/4.09 % (1550343)Termination reason: Instruction limit
% 8.03/4.09 % (1550343)Termination phase: Finite model building constraint generation
% 8.03/4.09 % (1550343)Time elapsed: 0.234 s
% 8.03/4.09 % (1550343)Peak memory usage: 32 MB
% 8.03/4.09 % (1550343)Instructions burned: 920 (million)
% 8.03/4.09 % TRYING [2]
% 8.03/4.09 % (1550347)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3883919706:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 8.03/4.09 % (1550341)Cannot represent all propositional literals internally
% 8.03/4.09 % (1550341)Refutation not found, incomplete strategy
% 8.03/4.09 % (1550341)------------------------------
% 8.03/4.09 % (1550341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/4.09 % (1550341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/4.09 % (1550341)CaDiCaL version: 2.1.3
% 8.03/4.09 % (1550341)Termination reason: Refutation not found, incomplete strategy
% 8.03/4.09 % (1550341)Time elapsed: 0.398 s
% 8.03/4.09 % (1550341)Peak memory usage: 25 MB
% 8.03/4.09 % (1550341)Instructions burned: 810 (million)
% 8.03/4.09 % (1550341)------------------------------
% 8.03/4.09 % (1550341)------------------------------
% 8.03/4.09 % (1550349)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2919069528:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 8.03/4.09 % (1550347)Instruction limit reached!
% 8.03/4.09 % (1550347)------------------------------
% 8.03/4.09 % (1550347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/4.09 % (1550347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/4.09 % (1550347)CaDiCaL version: 2.1.3
% 8.03/4.09 % (1550347)Termination reason: Instruction limit
% 8.03/4.09 % (1550347)Termination phase: Saturation
% 8.03/4.09 % (1550347)Time elapsed: 0.468 s
% 8.03/4.09 % (1550347)Peak memory usage: 31 MB
% 8.03/4.09 % (1550347)Instructions burned: 1475 (million)
% 8.03/4.09 % (1550351)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1971406073:fmbsr=2.30978:i=2174_2982 on theBenchmark for (2982ds/2174Mi)
% 8.03/4.09 % (1550349)Cannot represent all propositional literals internally
% 8.03/4.09 % (1550349)Refutation not found, incomplete strategy
% 8.03/4.09 % (1550349)------------------------------
% 8.03/4.09 % (1550349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/4.09 % (1550349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/4.09 % (1550349)CaDiCaL version: 2.1.3
% 8.03/4.09 % (1550349)Termination reason: Refutation not found, incomplete strategy
% 8.03/4.09 % (1550349)Time elapsed: 0.414 s
% 8.03/4.09 % (1550349)Peak memory usage: 26 MB
% 8.03/4.09 % (1550349)Instructions burned: 832 (million)
% 8.03/4.09 % (1550349)------------------------------
% 8.03/4.09 % (1550349)------------------------------
% 8.03/4.09 % (1550353)ott-2_1_sil=16000:newcnf=on:random_seed=2029144000:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2981 on theBenchmark for (2981ds/869Mi)
% 8.03/4.09 % TRYING [4]
% 8.03/4.09 % TRYING [3]
% 8.03/4.09 % (1550351)Instruction limit reached!
% 8.03/4.09 % (1550351)------------------------------
% 8.03/4.09 % (1550351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/4.09 % (1550351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/4.09 % (1550351)CaDiCaL version: 2.1.3
% 8.03/4.09 % (1550351)Termination reason: Instruction limit
% 8.03/4.09 % (1550351)Termination phase: Finite model building preprocessing
% 8.03/4.09 % (1550351)Time elapsed: 0.566 s
% 8.03/4.09 % (1550351)Peak memory usage: 33 MB
% 8.03/4.09 % (1550351)Instructions burned: 2178 (million)
% 8.03/4.09 % (1550355)ott+10_1_sil=32000:tgt=ground:random_seed=1759105062:i=5114:av=off_2976 on theBenchmark for (2976ds/5114Mi)
% 8.03/4.09 % (1550353)Instruction limit reached!
% 8.03/4.09 % (1550353)------------------------------
% 8.03/4.09 % (1550353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/4.09 % (1550353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/4.09 % (1550353)CaDiCaL version: 2.1.3
% 8.03/4.09 % (1550353)Termination reason: Instruction limit
% 8.03/4.09 % (1550353)Termination phase: Saturation
% 8.03/4.09 % (1550353)Time elapsed: 0.518 s
% 8.03/4.09 % (1550353)Peak memory usage: 19 MB
% 8.03/4.09 % (1550353)Instructions burned: 869 (million)
% 8.03/4.09 % (1550357)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=279768820:i=54282_2975 on theBenchmark for (2975ds/54282Mi)
% 8.03/4.09 % TRYING [1]
% 8.03/4.09 % TRYING [2]
% 8.03/4.09 % TRYING [3]
% 8.03/4.09 % (1550355) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1550300-1550355"...
% 8.03/4.09 % (1550355)...printing done.
% 8.03/4.09 % (1550355)Refutation found. Thanks to Tanya!
% 8.03/4.09 % SZS status Unsatisfiable for theBenchmark
% 8.03/4.09 % SZS output start Proof for theBenchmark
% See solution above
% 8.03/4.09 % (1550355)------------------------------
% 8.03/4.09 % (1550355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/4.09 % (1550355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/4.09 % (1550355)CaDiCaL version: 2.1.3
% 8.03/4.09 % (1550355)Termination reason: Refutation
% 8.03/4.09 % (1550355)Time elapsed: 1.424 s
% 8.03/4.09 % (1550355)Peak memory usage: 35 MB
% 8.03/4.09 % (1550355)Instructions burned: 4239 (million)
% 8.03/4.09 % (1550300)Success in time 3.861 s
% 8.03/4.09 % Vampire exiting
%------------------------------------------------------------------------------