TSTP Solution File: SWW196+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW196+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n004.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 : Tue Aug 22 11:06:49 EDT 2023
% Result : Theorem 32.43s 12.10s
% Output : CNFRefutation 32.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 115
% Syntax : Number of formulae : 131 ( 23 unt; 106 typ; 0 def)
% Number of atoms : 27 ( 22 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 1 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 139 ( 96 >; 43 *; 0 +; 0 <<)
% Number of predicates : 65 ( 63 usr; 2 prp; 0-3 aty)
% Number of functors : 43 ( 43 usr; 9 con; 0-3 aty)
% Number of variables : 21 (; 19 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Rings_Odvd__class_Odvd > c_Orderings_Oord__class_Oless__eq > c_Orderings_Oord__class_Oless > c_Parity_Oeven__odd__class_Oeven > c_Int_Oiszero > hBOOL > class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct > class_Rings_Ozero__neq__one > class_Rings_Osemiring__1 > class_Rings_Osemiring__0 > class_Rings_Osemiring > class_Rings_Oring__no__zero__divisors > class_Rings_Oring__1__no__zero__divisors > class_Rings_Oring__1 > class_Rings_Oring > class_Rings_Oordered__semiring > class_Rings_Oordered__ring > class_Rings_Oordered__comm__semiring > class_Rings_Oordered__cancel__semiring > class_Rings_Ono__zero__divisors > class_Rings_Omult__zero > class_Rings_Olinordered__semiring__strict > class_Rings_Olinordered__semiring__1__strict > class_Rings_Olinordered__semiring__1 > class_Rings_Olinordered__semiring > class_Rings_Olinordered__semidom > class_Rings_Olinordered__ring__strict > class_Rings_Olinordered__ring > class_Rings_Olinordered__idom > class_Rings_Olinordered__comm__semiring__strict > class_Rings_Oidom > class_Rings_Odvd > class_Rings_Ocomm__semiring__1 > class_Rings_Ocomm__semiring > class_Rings_Ocomm__ring__1 > class_Rings_Ocomm__ring > class_RealVector_Oreal__normed__algebra > class_Power_Opower > class_Orderings_Olinorder > class_Int_Oring__char__0 > class_Int_Onumber__ring > class_Int_Onumber > class_Groups_Ozero > class_Groups_Oordered__comm__monoid__add > class_Groups_Oordered__cancel__ab__semigroup__add > class_Groups_Oordered__ab__semigroup__add__imp__le > class_Groups_Oordered__ab__semigroup__add > class_Groups_Oordered__ab__group__add > class_Groups_Oone > class_Groups_Omonoid__mult > class_Groups_Omonoid__add > class_Groups_Olinordered__ab__group__add > class_Groups_Ogroup__add > class_Groups_Ocomm__monoid__mult > class_Groups_Ocomm__monoid__add > class_Groups_Ocancel__semigroup__add > class_Groups_Ocancel__ab__semigroup__add > class_Groups_Oab__semigroup__mult > class_Groups_Oab__semigroup__add > class_Groups_Oab__group__add > class_Divides_Osemiring__div > class_Divides_Oring__div > c_Power_Opower__class_Opower > c_Groups_Otimes__class_Otimes > c_Groups_Oplus__class_Oplus > c_Groups_Ominus__class_Ominus > c_Divides_Odiv__class_Omod > c_Divides_Odiv__class_Odiv > hAPP > c_Int_Onumber__class_Onumber__of > #nlpp > c_Nat_OSuc > c_Int_OBit1 > c_Int_OBit0 > c_Groups_Ozero__class_Ozero > c_Groups_Oone__class_Oone > c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt > v_thesis____ > v_na____ > v_n > tc_RealDef_Oreal > tc_Nat_Onat > tc_Int_Oint > tc_Complex_Ocomplex > c_Int_OPls > c_Int_OMin > #skF_5 > #skF_11 > #skF_17 > #skF_2 > #skF_4 > #skF_18 > #skF_13 > #skF_10 > #skF_19 > #skF_1 > #skF_7 > #skF_20 > #skF_15 > #skF_14 > #skF_3 > #skF_8 > #skF_12 > #skF_16 > #skF_21 > #skF_9 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(class_Groups_Olinordered__ab__group__add,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(class_Rings_Ocomm__semiring__1,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(c_Orderings_Oord__class_Oless__eq,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(class_Int_Oring__char__0,type,
class_Int_Oring__char__0: $i > $o ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(class_Groups_Omonoid__add,type,
class_Groups_Omonoid__add: $i > $o ).
tff(class_Rings_Oordered__ring,type,
class_Rings_Oordered__ring: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(class_Rings_Olinordered__semiring__strict,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(class_Int_Onumber__ring,type,
class_Int_Onumber__ring: $i > $o ).
tff(class_Rings_Osemiring,type,
class_Rings_Osemiring: $i > $o ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i ) > $i ).
tff(c_Parity_Oeven__odd__class_Oeven,type,
c_Parity_Oeven__odd__class_Oeven: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(class_Rings_Ocomm__ring__1,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(class_Groups_Oordered__ab__semigroup__add__imp__le,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(class_Groups_Ogroup__add,type,
class_Groups_Ogroup__add: $i > $o ).
tff(tc_Nat_Onat,type,
tc_Nat_Onat: $i ).
tff(class_Groups_Oone,type,
class_Groups_Oone: $i > $o ).
tff(class_Rings_Olinordered__semiring,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(c_Int_Onumber__class_Onumber__of,type,
c_Int_Onumber__class_Onumber__of: ( $i * $i ) > $i ).
tff(class_Groups_Ocomm__monoid__add,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(v_na____,type,
v_na____: $i ).
tff(class_Groups_Omonoid__mult,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(class_Rings_Ocomm__ring,type,
class_Rings_Ocomm__ring: $i > $o ).
tff(class_Rings_Olinordered__comm__semiring__strict,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i ) > $i ).
tff(class_Groups_Oordered__ab__group__add,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(v_n,type,
v_n: $i ).
tff(class_Rings_Odvd,type,
class_Rings_Odvd: $i > $o ).
tff(c_Groups_Oone__class_Oone,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(tc_Int_Oint,type,
tc_Int_Oint: $i ).
tff(v_thesis____,type,
v_thesis____: $o ).
tff(class_Rings_Olinordered__ring,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(tc_RealDef_Oreal,type,
tc_RealDef_Oreal: $i ).
tff(class_Int_Onumber,type,
class_Int_Onumber: $i > $o ).
tff(class_Groups_Ocomm__monoid__mult,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff(class_Rings_Oordered__comm__semiring,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(class_Rings_Olinordered__semidom,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff(c_Int_OPls,type,
c_Int_OPls: $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff(c_Int_OBit0,type,
c_Int_OBit0: $i > $i ).
tff(class_Rings_Ocomm__semiring,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(class_Groups_Ocancel__semigroup__add,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(class_Rings_Oordered__cancel__semiring,type,
class_Rings_Oordered__cancel__semiring: $i > $o ).
tff(c_Int_OBit1,type,
c_Int_OBit1: $i > $i ).
tff(c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt: $i > $i ).
tff(class_Rings_Olinordered__semiring__1,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(class_Divides_Oring__div,type,
class_Divides_Oring__div: $i > $o ).
tff(class_Groups_Oordered__comm__monoid__add,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
tff(c_Groups_Ominus__class_Ominus,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i ) > $i ).
tff(c_Orderings_Oord__class_Oless,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(c_Divides_Odiv__class_Omod,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(c_Groups_Ozero__class_Ozero,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
tff(class_RealVector_Oreal__normed__algebra,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(class_Rings_Oring__1,type,
class_Rings_Oring__1: $i > $o ).
tff(class_Power_Opower,type,
class_Power_Opower: $i > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(c_Rings_Odvd__class_Odvd,type,
c_Rings_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(class_Rings_Osemiring__0,type,
class_Rings_Osemiring__0: $i > $o ).
tff(class_Rings_Omult__zero,type,
class_Rings_Omult__zero: $i > $o ).
tff(c_Groups_Oplus__class_Oplus,type,
c_Groups_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(class_Groups_Oab__semigroup__add,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(c_Power_Opower__class_Opower,type,
c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).
tff(tc_Complex_Ocomplex,type,
tc_Complex_Ocomplex: $i ).
tff(c_Divides_Odiv__class_Odiv,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff(class_Groups_Ocancel__ab__semigroup__add,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(class_Rings_Oidom,type,
class_Rings_Oidom: $i > $o ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i ) > $i ).
tff(c_Groups_Otimes__class_Otimes,type,
c_Groups_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(class_Groups_Ozero,type,
class_Groups_Ozero: $i > $o ).
tff(class_Rings_Oring__no__zero__divisors,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(class_Rings_Oring,type,
class_Rings_Oring: $i > $o ).
tff(class_Rings_Osemiring__1,type,
class_Rings_Osemiring__1: $i > $o ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff(class_Rings_Olinordered__semiring__1__strict,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff(c_Nat_OSuc,type,
c_Nat_OSuc: $i > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(class_Groups_Oab__semigroup__mult,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(class_Groups_Oordered__cancel__ab__semigroup__add,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(class_Rings_Ozero__neq__one,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(class_Rings_Ono__zero__divisors,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(class_Divides_Osemiring__div,type,
class_Divides_Osemiring__div: $i > $o ).
tff(class_Rings_Oordered__semiring,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(class_Rings_Olinordered__idom,type,
class_Rings_Olinordered__idom: $i > $o ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(class_Groups_Oab__group__add,type,
class_Groups_Oab__group__add: $i > $o ).
tff(class_Rings_Olinordered__ring__strict,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(class_Rings_Oring__1__no__zero__divisors,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
tff('#skF_16',type,
'#skF_16': ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff(class_Groups_Oordered__ab__semigroup__add,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(c_Int_OMin,type,
c_Int_OMin: $i ).
tff(c_Int_Oiszero,type,
c_Int_Oiszero: ( $i * $i ) > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(f_4539,axiom,
! [V_n] : ( c_Nat_OSuc(V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__eq__plus1__left) ).
tff(f_4619,axiom,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__1__add__1) ).
tff(f_297,axiom,
! [V_z] : ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),V_z) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_z,V_z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__mult__2) ).
tff(f_5543,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f_5541,hypothesis,
( ? [B_m] : ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) )
=> v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f_4526,axiom,
! [V_n] : ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__mult__1__right) ).
tff(f_731,axiom,
! [V_n,V_m] : ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_n)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__Suc__right) ).
tff(f_163,axiom,
! [V_n,V_m] : ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_n) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n,V_m) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__mult__commute) ).
tff(f_29,axiom,
? [B_m] : ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096EX_Am_O_An_A_061_A2_A_K_Am_096) ).
tff(c_2563,plain,
! [V_n_2109] : ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2109) = c_Nat_OSuc(V_n_2109) ),
inference(cnfTransformation,[status(thm)],[f_4539]) ).
tff(c_2607,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
inference(cnfTransformation,[status(thm)],[f_4619]) ).
tff(c_3420,plain,
c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(demodulation,[status(thm),theory(equality)],[c_2563,c_2607]) ).
tff(c_192,plain,
! [V_z_147] : ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),V_z_147) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_z_147,V_z_147) ),
inference(cnfTransformation,[status(thm)],[f_297]) ).
tff(c_29846,plain,
! [V_z_3146] : ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_z_3146) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_z_3146,V_z_3146) ),
inference(demodulation,[status(thm),theory(equality)],[c_3420,c_192]) ).
tff(c_3413,plain,
~ v_thesis____,
inference(cnfTransformation,[status(thm)],[f_5543]) ).
tff(c_3411,plain,
! [B_m_2520] :
( v_thesis____
| ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m_2520) != v_na____ ) ),
inference(cnfTransformation,[status(thm)],[f_5541]) ).
tff(c_3414,plain,
! [B_m_2520] : ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m_2520) != v_na____ ),
inference(negUnitSimplification,[status(thm)],[c_3413,c_3411]) ).
tff(c_3421,plain,
! [B_m_2520] : ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oone__class_Oone(tc_Nat_Onat)),B_m_2520) != v_na____ ),
inference(demodulation,[status(thm),theory(equality)],[c_3420,c_3414]) ).
tff(c_30046,plain,
! [V_z_3146] : ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_z_3146,V_z_3146) != v_na____ ),
inference(superposition,[status(thm),theory(equality)],[c_29846,c_3421]) ).
tff(c_2549,plain,
! [V_n_2105] : ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n_2105,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n_2105 ),
inference(cnfTransformation,[status(thm)],[f_4526]) ).
tff(c_411,plain,
! [V_m_325,V_n_324] : ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_325,c_Nat_OSuc(V_n_324)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m_325,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_325,V_n_324)) ),
inference(cnfTransformation,[status(thm)],[f_731]) ).
tff(c_126,plain,
! [V_n_65,V_m_66] : ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n_65,V_m_66) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_66,V_n_65) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_2,plain,
c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),'#skF_1') = v_na____,
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_3817,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,'#skF_1','#skF_1') = v_na____,
inference(demodulation,[status(thm),theory(equality)],[c_2549,c_411,c_126,c_3420,c_2]) ).
tff(c_30163,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30046,c_3817]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW196+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 19:35:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 32.43/12.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.43/12.10
% 32.43/12.10 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 32.75/12.13
% 32.75/12.13 Inference rules
% 32.75/12.13 ----------------------
% 32.75/12.13 #Ref : 10
% 32.75/12.13 #Sup : 5282
% 32.75/12.13 #Fact : 8
% 32.75/12.13 #Define : 0
% 32.75/12.13 #Split : 3
% 32.75/12.13 #Chain : 0
% 32.75/12.13 #Close : 0
% 32.75/12.13
% 32.75/12.13 Ordering : KBO
% 32.75/12.13
% 32.75/12.13 Simplification rules
% 32.75/12.13 ----------------------
% 32.75/12.13 #Subsume : 1315
% 32.75/12.13 #Demod : 5382
% 32.75/12.13 #Tautology : 3503
% 32.75/12.13 #SimpNegUnit : 173
% 32.75/12.13 #BackRed : 12
% 32.75/12.13
% 32.75/12.13 #Partial instantiations: 0
% 32.75/12.13 #Strategies tried : 1
% 32.75/12.13
% 32.75/12.13 Timing (in seconds)
% 32.75/12.13 ----------------------
% 32.75/12.14 Preprocessing : 2.18
% 32.75/12.14 Parsing : 1.23
% 32.75/12.14 CNF conversion : 0.17
% 32.75/12.14 Main loop : 8.84
% 32.75/12.14 Inferencing : 1.22
% 32.75/12.14 Reduction : 4.68
% 32.75/12.14 Demodulation : 3.49
% 32.75/12.14 BG Simplification : 0.23
% 32.75/12.14 Subsumption : 2.04
% 32.75/12.14 Abstraction : 0.12
% 32.75/12.14 MUC search : 0.00
% 32.75/12.14 Cooper : 0.00
% 32.75/12.14 Total : 11.07
% 32.75/12.14 Index Insertion : 0.00
% 32.75/12.14 Index Deletion : 0.00
% 32.75/12.14 Index Matching : 0.00
% 32.75/12.14 BG Taut test : 0.00
%------------------------------------------------------------------------------