TSTP Solution File: SWV824-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV824-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n015.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 11:05:44 EDT 2023
% Result : Unsatisfiable 27.73s 11.33s
% Output : CNFRefutation 27.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 81
% Syntax : Number of formulae : 110 ( 25 unt; 67 typ; 0 def)
% Number of atoms : 65 ( 26 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 29 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 92 ( 59 >; 33 *; 0 +; 0 <<)
% Number of predicates : 48 ( 46 usr; 1 prp; 0-4 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-6 aty)
% Number of variables : 71 (; 71 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_Natural_Oevaln > c_lessequals > c_Natural_Oevalc > c_HOL_Oord__class_Oless > v_fun2 > v_fun1 > class_Ring__and__Field_Osemiring > class_Ring__and__Field_Oring__no__zero__divisors > class_Ring__and__Field_Oring > class_Ring__and__Field_Opordered__semiring > class_Ring__and__Field_Opordered__ring > class_Ring__and__Field_Opordered__cancel__semiring > class_Ring__and__Field_Oordered__semiring__strict > class_Ring__and__Field_Oordered__semiring > class_Ring__and__Field_Oordered__semidom > class_Ring__and__Field_Oordered__ring__strict > class_Ring__and__Field_Oordered__idom > class_Ring__and__Field_Oordered__comm__semiring__strict > class_Ring__and__Field_Ono__zero__divisors > class_Ring__and__Field_Omult__zero > class_Ring__and__Field_Omult__mono1 > class_Ring__and__Field_Omult__mono > class_Ring__and__Field_Oidom > class_Ring__and__Field_Ocomm__semiring__1 > class_Ring__and__Field_Ocomm__semiring > class_Orderings_Opreorder > class_Orderings_Oorder > class_Orderings_Olinorder > class_OrderedGroup_Opordered__comm__monoid__add > class_OrderedGroup_Opordered__cancel__ab__semigroup__add > class_OrderedGroup_Opordered__ab__semigroup__add__imp__le > class_OrderedGroup_Opordered__ab__semigroup__add > class_OrderedGroup_Opordered__ab__group__add > class_OrderedGroup_Omonoid__add > class_OrderedGroup_Olordered__ab__group__add > class_OrderedGroup_Ogroup__add > class_OrderedGroup_Ocomm__monoid__add > class_OrderedGroup_Ocancel__semigroup__add > class_OrderedGroup_Ocancel__ab__semigroup__add > class_OrderedGroup_Oab__semigroup__mult > class_OrderedGroup_Oab__semigroup__idem__mult > class_OrderedGroup_Oab__semigroup__add > class_OrderedGroup_Oab__group__add > class_Int_Onumber__ring > class_Divides_Osemiring__div > class_Divides_Oring__div > c_Natural_Osko__Natural__Xevaln__max2__1__1 > c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 > c_Orderings_Oord__class_Omin > c_Orderings_Oord__class_Omax > c_HOL_Otimes__class_Otimes > c_HOL_Oplus__class_Oplus > c_HOL_Ominus__class_Ominus > c_Divides_Odiv__class_Omod > c_Fun_Oid > c_Com_Ocom_OSemi > #nlpp > c_Suc > c_HOL_Ozero__class_Ozero > c_Com_Ocom_OBODY > v_xb > v_xa > v_x > v_n > v_com > tc_nat > t_a > c_Com_Ocom_OSKIP
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v_x,type,
v_x: $i ).
tff(class_OrderedGroup_Oab__semigroup__idem__mult,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
tff(class_OrderedGroup_Opordered__ab__semigroup__add,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(class_Int_Onumber__ring,type,
class_Int_Onumber__ring: $i > $o ).
tff(c_HOL_Oord__class_Oless,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(class_OrderedGroup_Ocancel__ab__semigroup__add,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(class_Ring__and__Field_Oordered__semiring,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(class_Ring__and__Field_Osemiring,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(v_xa,type,
v_xa: $i ).
tff(class_Ring__and__Field_Ocomm__semiring,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(class_Ring__and__Field_Oring,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(class_OrderedGroup_Oab__semigroup__add,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(v_n,type,
v_n: $i ).
tff(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1,type,
c_Natural_Osko__Natural__Xevaln__elim__cases__6__1: ( $i * $i * $i * $i ) > $i ).
tff(t_a,type,
t_a: $i ).
tff(class_Ring__and__Field_Omult__zero,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(class_OrderedGroup_Olordered__ab__group__add,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
tff(class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
tff(class_OrderedGroup_Oab__semigroup__mult,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(class_Ring__and__Field_Ono__zero__divisors,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(class_Ring__and__Field_Opordered__ring,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(c_Natural_Oevalc,type,
c_Natural_Oevalc: ( $i * $i * $i ) > $o ).
tff(class_Ring__and__Field_Oordered__ring__strict,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(c_Com_Ocom_OSKIP,type,
c_Com_Ocom_OSKIP: $i ).
tff(class_OrderedGroup_Opordered__ab__semigroup__add__imp__le,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(v_com,type,
v_com: $i ).
tff(c_Orderings_Oord__class_Omin,type,
c_Orderings_Oord__class_Omin: ( $i * $i * $i ) > $i ).
tff(c_Suc,type,
c_Suc: $i > $i ).
tff(class_Ring__and__Field_Oordered__comm__semiring__strict,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(class_Divides_Oring__div,type,
class_Divides_Oring__div: $i > $o ).
tff(class_OrderedGroup_Ocancel__semigroup__add,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(c_lessequals,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(tc_nat,type,
tc_nat: $i ).
tff(c_Divides_Odiv__class_Omod,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(class_OrderedGroup_Opordered__cancel__ab__semigroup__add,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(class_OrderedGroup_Ocomm__monoid__add,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(c_Orderings_Oord__class_Omax,type,
c_Orderings_Oord__class_Omax: ( $i * $i * $i ) > $i ).
tff(class_Ring__and__Field_Oring__no__zero__divisors,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(class_Ring__and__Field_Oidom,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(class_OrderedGroup_Omonoid__add,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(c_Com_Ocom_OBODY,type,
c_Com_Ocom_OBODY: $i > $i ).
tff(class_Ring__and__Field_Oordered__semiring__strict,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(class_Ring__and__Field_Opordered__cancel__semiring,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(c_HOL_Oplus__class_Oplus,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(c_HOL_Otimes__class_Otimes,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(c_HOL_Ozero__class_Ozero,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(class_Ring__and__Field_Omult__mono1,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(c_Fun_Oid,type,
c_Fun_Oid: ( $i * $i ) > $i ).
tff(v_fun2,type,
v_fun2: ( $i * $i ) > $o ).
tff(v_fun1,type,
v_fun1: ( $i * $i ) > $o ).
tff(class_OrderedGroup_Ogroup__add,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(class_Divides_Osemiring__div,type,
class_Divides_Osemiring__div: $i > $o ).
tff(class_Ring__and__Field_Omult__mono,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(class_Ring__and__Field_Ocomm__semiring__1,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(c_Com_Ocom_OSemi,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(class_Ring__and__Field_Opordered__semiring,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(class_OrderedGroup_Opordered__comm__monoid__add,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(c_HOL_Ominus__class_Ominus,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(v_xb,type,
v_xb: $i ).
tff(class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(c_Natural_Osko__Natural__Xevaln__max2__1__1,type,
c_Natural_Osko__Natural__Xevaln__max2__1__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Natural_Oevaln,type,
c_Natural_Oevaln: ( $i * $i * $i * $i ) > $o ).
tff(class_Ring__and__Field_Oordered__semidom,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(f_4499,axiom,
~ v_fun2(v_x,v_xb),
file(unknown,unknown) ).
tff(f_4236,axiom,
! [V_n,V_m] :
( c_lessequals(V_n,V_m,tc_nat)
| c_lessequals(V_m,V_n,tc_nat) ),
file(unknown,unknown) ).
tff(f_3120,axiom,
! [V_n,V_i] :
( ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i )
| ~ c_lessequals(V_i,V_n,tc_nat) ),
file(unknown,unknown) ).
tff(f_1961,axiom,
! [V_m,V_n] : c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat),
file(unknown,unknown) ).
tff(f_2249,axiom,
! [V_n,V_m] : ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),V_m,tc_nat) = c_Orderings_Oord__class_Omax(V_n,V_m,tc_nat) ),
file(unknown,unknown) ).
tff(f_2541,axiom,
! [V_m,V_n] :
( ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m )
| ~ c_lessequals(V_n,V_m,tc_nat) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [V_m,V_n] : ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ),
file(unknown,unknown) ).
tff(f_4396,axiom,
! [V_nat_H] : ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ),
file(unknown,unknown) ).
tff(f_4400,axiom,
! [V_m,V_n] : ( c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ),
file(unknown,unknown) ).
tff(f_113,axiom,
! [V_x,V_a] :
( ( V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat) )
| ( V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ),
file(unknown,unknown) ).
tff(f_4497,axiom,
c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
file(unknown,unknown) ).
tff(f_4294,axiom,
! [V_s,V_t,V_c,V_m,V_n] :
( c_Natural_Oevaln(V_c,V_s,V_m,V_t)
| ~ c_lessequals(V_n,V_m,tc_nat)
| ~ c_Natural_Oevaln(V_c,V_s,V_n,V_t) ),
file(unknown,unknown) ).
tff(f_4496,axiom,
v_fun1(v_x,v_xa),
file(unknown,unknown) ).
tff(f_4507,axiom,
! [V_Z,V_s_H,V_s] :
( v_fun2(V_Z,V_s_H)
| ~ c_Natural_Oevaln(v_com,V_s,c_Suc(v_n),V_s_H)
| ~ v_fun1(V_Z,V_s) ),
file(unknown,unknown) ).
tff(c_1346,plain,
~ v_fun2(v_x,v_xb),
inference(cnfTransformation,[status(thm)],[f_4499]) ).
tff(c_1228,plain,
! [V_m_1896,V_n_1895] :
( c_lessequals(V_m_1896,V_n_1895,tc_nat)
| c_lessequals(V_n_1895,V_m_1896,tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_4236]) ).
tff(c_29897,plain,
! [V_i_2759,V_n_2760] :
( ~ c_lessequals(V_i_2759,V_n_2760,tc_nat)
| ( c_HOL_Ominus__class_Ominus(V_n_2760,c_HOL_Ominus__class_Ominus(V_n_2760,V_i_2759,tc_nat),tc_nat) = V_i_2759 ) ),
inference(cnfTransformation,[status(thm)],[f_3120]) ).
tff(c_582,plain,
! [V_m_932,V_n_933] : c_lessequals(c_HOL_Ominus__class_Ominus(V_m_932,V_n_933,tc_nat),V_m_932,tc_nat),
inference(cnfTransformation,[status(thm)],[f_1961]) ).
tff(c_672,plain,
! [V_n_1048,V_m_1049] : ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_n_1048,V_m_1049,tc_nat),V_m_1049,tc_nat) = c_Orderings_Oord__class_Omax(V_n_1048,V_m_1049,tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_2249]) ).
tff(c_750,plain,
! [V_n_1167,V_m_1166] :
( ~ c_lessequals(V_n_1167,V_m_1166,tc_nat)
| ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m_1166,V_n_1167,tc_nat),V_n_1167,tc_nat) = V_m_1166 ) ),
inference(cnfTransformation,[status(thm)],[f_2541]) ).
tff(c_5781,plain,
! [V_n_2288,V_m_2289] :
( ~ c_lessequals(V_n_2288,V_m_2289,tc_nat)
| ( c_Orderings_Oord__class_Omax(V_m_2289,V_n_2288,tc_nat) = V_m_2289 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_672,c_750]) ).
tff(c_5900,plain,
! [V_m_932,V_n_933] : ( c_Orderings_Oord__class_Omax(V_m_932,c_HOL_Ominus__class_Ominus(V_m_932,V_n_933,tc_nat),tc_nat) = V_m_932 ),
inference(resolution,[status(thm)],[c_582,c_5781]) ).
tff(c_24589,plain,
! [V_n_2673,V_m_2674] : ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_n_2673,V_m_2674,tc_nat),V_m_2674,tc_nat) = c_Orderings_Oord__class_Omax(V_n_2673,V_m_2674,tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_2249]) ).
tff(c_14,plain,
! [V_n_17,V_m_16] : ( c_HOL_Oplus__class_Oplus(V_n_17,V_m_16,tc_nat) = c_HOL_Oplus__class_Oplus(V_m_16,V_n_17,tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_1294,plain,
! [V_nat_H_1973] : ( c_Suc(V_nat_H_1973) != c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(cnfTransformation,[status(thm)],[f_4396]) ).
tff(c_11841,plain,
! [V_m_2431,V_n_2432] : ( c_HOL_Oplus__class_Oplus(V_m_2431,c_Suc(V_n_2432),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m_2431,V_n_2432,tc_nat)) ),
inference(cnfTransformation,[status(thm)],[f_4400]) ).
tff(c_32,plain,
! [V_a_40,V_x_39] :
( ( c_HOL_Ozero__class_Ozero(tc_nat) = V_a_40 )
| ( c_HOL_Oplus__class_Oplus(V_x_39,V_a_40,tc_nat) != V_x_39 ) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_11948,plain,
! [V_n_2432,V_m_2431] :
( ( c_Suc(V_n_2432) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ( c_Suc(c_HOL_Oplus__class_Oplus(V_m_2431,V_n_2432,tc_nat)) != V_m_2431 ) ),
inference(superposition,[status(thm),theory(equality)],[c_11841,c_32]) ).
tff(c_12026,plain,
! [V_m_2433,V_n_2434] : ( c_Suc(c_HOL_Oplus__class_Oplus(V_m_2433,V_n_2434,tc_nat)) != V_m_2433 ),
inference(negUnitSimplification,[status(thm)],[c_1294,c_11948]) ).
tff(c_12068,plain,
! [V_n_17,V_m_16] : ( c_Suc(c_HOL_Oplus__class_Oplus(V_n_17,V_m_16,tc_nat)) != V_m_16 ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_12026]) ).
tff(c_24913,plain,
! [V_n_2675,V_m_2676] : ( c_Suc(c_Orderings_Oord__class_Omax(V_n_2675,V_m_2676,tc_nat)) != V_m_2676 ),
inference(superposition,[status(thm),theory(equality)],[c_24589,c_12068]) ).
tff(c_24938,plain,
! [V_m_932,V_n_933] : ( c_HOL_Ominus__class_Ominus(V_m_932,V_n_933,tc_nat) != c_Suc(V_m_932) ),
inference(superposition,[status(thm),theory(equality)],[c_5900,c_24913]) ).
tff(c_30076,plain,
! [V_n_2761,V_i_2762] :
( ( c_Suc(V_n_2761) != V_i_2762 )
| ~ c_lessequals(V_i_2762,V_n_2761,tc_nat) ),
inference(superposition,[status(thm),theory(equality)],[c_29897,c_24938]) ).
tff(c_31200,plain,
! [V_n_1895] : c_lessequals(V_n_1895,c_Suc(V_n_1895),tc_nat),
inference(resolution,[status(thm)],[c_1228,c_30076]) ).
tff(c_1344,plain,
c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
inference(cnfTransformation,[status(thm)],[f_4497]) ).
tff(c_62841,plain,
! [V_c_3195,V_n_3193,V_s_3191,V_t_3192,V_m_3194] :
( ~ c_Natural_Oevaln(V_c_3195,V_s_3191,V_n_3193,V_t_3192)
| ~ c_lessequals(V_n_3193,V_m_3194,tc_nat)
| c_Natural_Oevaln(V_c_3195,V_s_3191,V_m_3194,V_t_3192) ),
inference(cnfTransformation,[status(thm)],[f_4294]) ).
tff(c_62851,plain,
! [V_m_3194] :
( ~ c_lessequals(v_n,V_m_3194,tc_nat)
| c_Natural_Oevaln(v_com,v_xa,V_m_3194,v_xb) ),
inference(resolution,[status(thm)],[c_1344,c_62841]) ).
tff(c_1342,plain,
v_fun1(v_x,v_xa),
inference(cnfTransformation,[status(thm)],[f_4496]) ).
tff(c_35370,plain,
! [V_Z_2826,V_s_2827,V_s_H_2828] :
( ~ v_fun1(V_Z_2826,V_s_2827)
| ~ c_Natural_Oevaln(v_com,V_s_2827,c_Suc(v_n),V_s_H_2828)
| v_fun2(V_Z_2826,V_s_H_2828) ),
inference(cnfTransformation,[status(thm)],[f_4507]) ).
tff(c_65084,plain,
! [V_s_H_3224] :
( ~ c_Natural_Oevaln(v_com,v_xa,c_Suc(v_n),V_s_H_3224)
| v_fun2(v_x,V_s_H_3224) ),
inference(resolution,[status(thm)],[c_1342,c_35370]) ).
tff(c_65088,plain,
( v_fun2(v_x,v_xb)
| ~ c_lessequals(v_n,c_Suc(v_n),tc_nat) ),
inference(resolution,[status(thm)],[c_62851,c_65084]) ).
tff(c_65095,plain,
v_fun2(v_x,v_xb),
inference(demodulation,[status(thm),theory(equality)],[c_31200,c_65088]) ).
tff(c_65097,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1346,c_65095]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV824-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.15 % 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
% 0.15/0.37 % Computer : n015.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 23:02:14 EDT 2023
% 0.15/0.37 % CPUTime :
% 27.73/11.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.73/11.33
% 27.73/11.33 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 27.91/11.40
% 27.91/11.40 Inference rules
% 27.91/11.40 ----------------------
% 27.91/11.40 #Ref : 32
% 27.91/11.40 #Sup : 13836
% 27.91/11.40 #Fact : 10
% 27.91/11.40 #Define : 0
% 27.91/11.40 #Split : 3
% 27.91/11.40 #Chain : 0
% 27.91/11.40 #Close : 0
% 27.91/11.40
% 27.91/11.40 Ordering : KBO
% 27.91/11.40
% 27.91/11.40 Simplification rules
% 27.91/11.40 ----------------------
% 27.91/11.40 #Subsume : 4457
% 27.91/11.40 #Demod : 7797
% 27.91/11.40 #Tautology : 4217
% 27.91/11.40 #SimpNegUnit : 440
% 27.91/11.40 #BackRed : 21
% 27.91/11.40
% 27.91/11.40 #Partial instantiations: 0
% 27.91/11.40 #Strategies tried : 1
% 27.91/11.40
% 27.91/11.40 Timing (in seconds)
% 27.91/11.40 ----------------------
% 27.91/11.41 Preprocessing : 1.45
% 27.91/11.41 Parsing : 0.82
% 27.91/11.41 CNF conversion : 0.12
% 27.91/11.41 Main loop : 8.70
% 27.91/11.41 Inferencing : 1.33
% 27.91/11.41 Reduction : 4.48
% 27.91/11.41 Demodulation : 3.30
% 27.91/11.41 BG Simplification : 0.20
% 27.91/11.41 Subsumption : 2.21
% 27.91/11.41 Abstraction : 0.15
% 28.07/11.41 MUC search : 0.00
% 28.07/11.41 Cooper : 0.00
% 28.07/11.41 Total : 10.25
% 28.07/11.41 Index Insertion : 0.00
% 28.07/11.41 Index Deletion : 0.00
% 28.07/11.41 Index Matching : 0.00
% 28.07/11.41 BG Taut test : 0.00
%------------------------------------------------------------------------------