TSTP Solution File: KRS051+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KRS051+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n019.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 : Sun May  5 07:19:24 EDT 2024

% Result   : Satisfiable 4.33s 0.98s
% Output   : FiniteModel 4.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KRS051+1 : TPTP v8.1.2. Released v3.1.0.
% 0.15/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 19:52:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.21/0.36  % (1320)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (1324)WARNING: value z3 for option sas not known
% 0.21/0.38  % (1323)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38  % (1324)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38  % (1322)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38  % (1327)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38  % (1329)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.38  % (1330)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.38  % (1328)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.39  TRYING [1]
% 0.21/0.39  TRYING [2]
% 0.21/0.39  TRYING [1]
% 0.21/0.39  TRYING [2]
% 0.21/0.39  TRYING [3]
% 0.21/0.40  TRYING [3]
% 0.21/0.40  TRYING [4]
% 0.21/0.40  TRYING [4]
% 0.21/0.44  TRYING [5]
% 0.21/0.44  TRYING [5]
% 1.43/0.55  TRYING [6]
% 1.43/0.56  TRYING [6]
% 4.33/0.98  Finite Model Found!
% 4.33/0.98  % SZS status Satisfiable for theBenchmark
% 4.33/0.98  % (1327)First to succeed.
% 4.33/0.98  % (1327)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1320"
% 4.33/0.98  % SZS output start FiniteModel for theBenchmark
% 4.33/0.98  tff(declare_$i,type,$i:$tType).
% 4.33/0.98  tff(declare_$i1,type,id:$i).
% 4.33/0.98  tff(declare_$i2,type,fmb_$i_2:$i).
% 4.33/0.98  tff(declare_$i3,type,fmb_$i_3:$i).
% 4.33/0.98  tff(declare_$i4,type,fmb_$i_4:$i).
% 4.33/0.98  tff(declare_$i5,type,fmb_$i_5:$i).
% 4.33/0.98  tff(declare_$i6,type,fmb_$i_6:$i).
% 4.33/0.98  tff(finite_domain,axiom,
% 4.33/0.98        ! [X:$i] : (
% 4.33/0.98           X = id | X = fmb_$i_2 | X = fmb_$i_3 | X = fmb_$i_4 | X = fmb_$i_5 | 
% 4.33/0.98           X = fmb_$i_6
% 4.33/0.98        ) ).
% 4.33/0.98  
% 4.33/0.98  tff(distinct_domain,axiom,
% 4.33/0.98           id != fmb_$i_2 & id != fmb_$i_3 & id != fmb_$i_4 & id != fmb_$i_5 & id != fmb_$i_6 & 
% 4.33/0.98           fmb_$i_2 != fmb_$i_3 & fmb_$i_2 != fmb_$i_4 & fmb_$i_2 != fmb_$i_5 & fmb_$i_2 != fmb_$i_6 & fmb_$i_3 != fmb_$i_4 & 
% 4.33/0.98           fmb_$i_3 != fmb_$i_5 & fmb_$i_3 != fmb_$i_6 & fmb_$i_4 != fmb_$i_5 & fmb_$i_4 != fmb_$i_6 & fmb_$i_5 != fmb_$i_6
% 4.33/0.98  ).
% 4.33/0.98  
% 4.33/0.98  tff(declare_bool,type,$o:$tType).
% 4.33/0.98  tff(declare_bool1,type,fmb_bool_1:$o).
% 4.33/0.98  tff(finite_domain,axiom,
% 4.33/0.98        ! [X:$o] : (
% 4.33/0.98           X = fmb_bool_1
% 4.33/0.98        ) ).
% 4.33/0.98  
% 4.33/0.98  tff(declare_ccardinality_N,type,ccardinality_N: $i > $o ).
% 4.33/0.98  tff(predicate_ccardinality_N,axiom,
% 4.33/0.98             ccardinality_N(id)
% 4.33/0.98           & ccardinality_N(fmb_$i_2)
% 4.33/0.98           & ~ccardinality_N(fmb_$i_3)
% 4.33/0.98           & ~ccardinality_N(fmb_$i_4)
% 4.33/0.98           & ~ccardinality_N(fmb_$i_5)
% 4.33/0.98           & ~ccardinality_N(fmb_$i_6)
% 4.33/0.98  
% 4.33/0.98  ).
% 4.33/0.98  
% 4.33/0.98  tff(declare_ccardinality_N_times_M,type,ccardinality_N_times_M: $i > $o ).
% 4.33/0.98  tff(predicate_ccardinality_N_times_M,axiom,
% 4.33/0.98             ccardinality_N_times_M(id)
% 4.33/0.98           & ccardinality_N_times_M(fmb_$i_2)
% 4.33/0.98           & ccardinality_N_times_M(fmb_$i_3)
% 4.33/0.98           & ccardinality_N_times_M(fmb_$i_4)
% 4.33/0.98           & ccardinality_N_times_M(fmb_$i_5)
% 4.33/0.98           & ccardinality_N_times_M(fmb_$i_6)
% 4.33/0.98  
% 4.33/0.98  ).
% 4.33/0.98  
% 4.33/0.98  tff(declare_conly_d,type,conly_d: $i > $o ).
% 4.33/0.98  tff(predicate_conly_d,axiom,
% 4.33/0.98             conly_d(id)
% 4.33/0.98           & ~conly_d(fmb_$i_2)
% 4.33/0.98           & ~conly_d(fmb_$i_3)
% 4.33/0.98           & ~conly_d(fmb_$i_4)
% 4.33/0.98           & ~conly_d(fmb_$i_5)
% 4.33/0.98           & ~conly_d(fmb_$i_6)
% 4.33/0.98  
% 4.33/0.98  ).
% 4.33/0.98  
% 4.33/0.98  tff(declare_cowlNothing,type,cowlNothing: $i > $o ).
% 4.33/0.98  tff(predicate_cowlNothing,axiom,
% 4.33/0.98             ~cowlNothing(id)
% 4.33/0.98  %         cowlNothing(fmb_$i_2) undefined in model
% 4.33/0.98  %         cowlNothing(fmb_$i_3) undefined in model
% 4.33/0.98  %         cowlNothing(fmb_$i_4) undefined in model
% 4.33/0.98  %         cowlNothing(fmb_$i_5) undefined in model
% 4.33/0.98  %         cowlNothing(fmb_$i_6) undefined in model
% 4.33/0.98  
% 4.33/0.98  ).
% 4.33/0.98  
% 4.33/0.98  tff(declare_cowlThing,type,cowlThing: $i > $o ).
% 4.33/0.98  tff(predicate_cowlThing,axiom,
% 4.33/0.98             ~cowlThing(id)
% 4.33/0.98  %         cowlThing(fmb_$i_2) undefined in model
% 4.33/0.98  %         cowlThing(fmb_$i_3) undefined in model
% 4.33/0.98  %         cowlThing(fmb_$i_4) undefined in model
% 4.33/0.98  %         cowlThing(fmb_$i_5) undefined in model
% 4.33/0.98  %         cowlThing(fmb_$i_6) undefined in model
% 4.33/0.98  
% 4.33/0.98  ).
% 4.33/0.98  
% 4.33/0.98  tff(declare_rinvP_1_to_N,type,rinvP_1_to_N: $i * $i > $o ).
% 4.33/0.98  tff(predicate_rinvP_1_to_N,axiom,
% 4.33/0.98             rinvP_1_to_N(id,id)
% 4.33/0.98           & rinvP_1_to_N(id,fmb_$i_2)
% 4.33/0.98           & ~rinvP_1_to_N(id,fmb_$i_3)
% 4.33/0.98           & ~rinvP_1_to_N(id,fmb_$i_4)
% 4.33/0.98           & ~rinvP_1_to_N(id,fmb_$i_5)
% 4.33/0.98           & ~rinvP_1_to_N(id,fmb_$i_6)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_2,id)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_2,fmb_$i_2)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_2,fmb_$i_3)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_2,fmb_$i_4)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_2,fmb_$i_5)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_2,fmb_$i_6)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_3,id)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_3,fmb_$i_2)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_3,fmb_$i_3)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_3,fmb_$i_4)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_3,fmb_$i_5)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_3,fmb_$i_6)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_4,id)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_4,fmb_$i_2)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_4,fmb_$i_3)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_4,fmb_$i_4)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_4,fmb_$i_5)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_4,fmb_$i_6)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_5,id)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_5,fmb_$i_2)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_5,fmb_$i_3)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_5,fmb_$i_4)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_5,fmb_$i_5)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_5,fmb_$i_6)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_6,id)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_6,fmb_$i_2)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_6,fmb_$i_3)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_6,fmb_$i_4)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_6,fmb_$i_5)
% 4.33/0.98           & ~rinvP_1_to_N(fmb_$i_6,fmb_$i_6)
% 4.33/0.98  
% 4.33/0.98  ).
% 4.33/0.98  
% 4.33/0.98  tff(declare_rinvQ_1_to_M,type,rinvQ_1_to_M: $i * $i > $o ).
% 4.33/0.98  tff(predicate_rinvQ_1_to_M,axiom,
% 4.33/0.98             ~rinvQ_1_to_M(id,id)
% 4.33/0.98           & rinvQ_1_to_M(id,fmb_$i_2)
% 4.33/0.98           & ~rinvQ_1_to_M(id,fmb_$i_3)
% 4.33/0.98           & rinvQ_1_to_M(id,fmb_$i_4)
% 4.33/0.98           & rinvQ_1_to_M(id,fmb_$i_5)
% 4.33/0.98           & ~rinvQ_1_to_M(id,fmb_$i_6)
% 4.33/0.98           & rinvQ_1_to_M(fmb_$i_2,id)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_2,fmb_$i_2)
% 4.33/0.98           & rinvQ_1_to_M(fmb_$i_2,fmb_$i_3)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_2,fmb_$i_4)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_2,fmb_$i_5)
% 4.33/0.98           & rinvQ_1_to_M(fmb_$i_2,fmb_$i_6)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_3,id)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_3,fmb_$i_2)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_3,fmb_$i_3)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_3,fmb_$i_4)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_3,fmb_$i_5)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_3,fmb_$i_6)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_4,id)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_4,fmb_$i_2)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_4,fmb_$i_3)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_4,fmb_$i_4)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_4,fmb_$i_5)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_4,fmb_$i_6)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_5,id)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_5,fmb_$i_2)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_5,fmb_$i_3)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_5,fmb_$i_4)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_5,fmb_$i_5)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_5,fmb_$i_6)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_6,id)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_6,fmb_$i_2)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_6,fmb_$i_3)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_6,fmb_$i_4)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_6,fmb_$i_5)
% 4.33/0.98           & ~rinvQ_1_to_M(fmb_$i_6,fmb_$i_6)
% 4.33/0.98  
% 4.33/0.98  ).
% 4.33/0.98  
% 4.33/0.98  tff(declare_rinvR_N_times_M_to_1,type,rinvR_N_times_M_to_1: $i * $i > $o ).
% 4.33/0.98  tff(predicate_rinvR_N_times_M_to_1,axiom,
% 4.33/0.98             rinvR_N_times_M_to_1(id,id)
% 4.33/0.98           & rinvR_N_times_M_to_1(id,fmb_$i_2)
% 4.33/0.98           & rinvR_N_times_M_to_1(id,fmb_$i_3)
% 4.33/0.98           & rinvR_N_times_M_to_1(id,fmb_$i_4)
% 4.33/0.98           & rinvR_N_times_M_to_1(id,fmb_$i_5)
% 4.33/0.98           & rinvR_N_times_M_to_1(id,fmb_$i_6)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_2,id)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_2,fmb_$i_2)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_2,fmb_$i_3)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_2,fmb_$i_4)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_2,fmb_$i_5)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_2,fmb_$i_6)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_3,id)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_3,fmb_$i_2)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_3,fmb_$i_3)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_3,fmb_$i_4)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_3,fmb_$i_5)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_3,fmb_$i_6)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_4,id)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_4,fmb_$i_2)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_4,fmb_$i_3)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_4,fmb_$i_4)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_4,fmb_$i_5)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_4,fmb_$i_6)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_5,id)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_5,fmb_$i_2)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_5,fmb_$i_3)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_5,fmb_$i_4)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_5,fmb_$i_5)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_5,fmb_$i_6)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_6,id)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_6,fmb_$i_2)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_6,fmb_$i_3)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_6,fmb_$i_4)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_6,fmb_$i_5)
% 4.33/0.98           & ~rinvR_N_times_M_to_1(fmb_$i_6,fmb_$i_6)
% 4.33/0.98  
% 4.33/0.98  ).
% 4.33/0.98  
% 4.33/0.98  tff(declare_rp_N_to_1,type,rp_N_to_1: $i * $i > $o ).
% 4.33/0.98  tff(predicate_rp_N_to_1,axiom,
% 4.33/0.98             rp_N_to_1(id,id)
% 4.33/0.98           & ~rp_N_to_1(id,fmb_$i_2)
% 4.33/0.98           & ~rp_N_to_1(id,fmb_$i_3)
% 4.33/0.98           & ~rp_N_to_1(id,fmb_$i_4)
% 4.33/0.98           & ~rp_N_to_1(id,fmb_$i_5)
% 4.33/0.98           & ~rp_N_to_1(id,fmb_$i_6)
% 4.33/0.98           & rp_N_to_1(fmb_$i_2,id)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_2,fmb_$i_2)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_2,fmb_$i_3)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_2,fmb_$i_4)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_2,fmb_$i_5)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_2,fmb_$i_6)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_3,id)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_3,fmb_$i_2)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_3,fmb_$i_3)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_3,fmb_$i_4)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_3,fmb_$i_5)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_3,fmb_$i_6)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_4,id)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_4,fmb_$i_2)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_4,fmb_$i_3)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_4,fmb_$i_4)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_4,fmb_$i_5)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_4,fmb_$i_6)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_5,id)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_5,fmb_$i_2)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_5,fmb_$i_3)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_5,fmb_$i_4)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_5,fmb_$i_5)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_5,fmb_$i_6)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_6,id)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_6,fmb_$i_2)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_6,fmb_$i_3)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_6,fmb_$i_4)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_6,fmb_$i_5)
% 4.33/0.98           & ~rp_N_to_1(fmb_$i_6,fmb_$i_6)
% 4.33/0.98  
% 4.33/0.98  ).
% 4.33/0.98  
% 4.33/0.98  tff(declare_rq_M_to_1,type,rq_M_to_1: $i * $i > $o ).
% 4.33/0.98  tff(predicate_rq_M_to_1,axiom,
% 4.33/0.98             ~rq_M_to_1(id,id)
% 4.33/0.98           & rq_M_to_1(id,fmb_$i_2)
% 4.33/0.98           & ~rq_M_to_1(id,fmb_$i_3)
% 4.33/0.98           & ~rq_M_to_1(id,fmb_$i_4)
% 4.33/0.98           & ~rq_M_to_1(id,fmb_$i_5)
% 4.33/0.98           & ~rq_M_to_1(id,fmb_$i_6)
% 4.33/0.98           & rq_M_to_1(fmb_$i_2,id)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_2,fmb_$i_2)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_2,fmb_$i_3)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_2,fmb_$i_4)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_2,fmb_$i_5)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_2,fmb_$i_6)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_3,id)
% 4.33/0.98           & rq_M_to_1(fmb_$i_3,fmb_$i_2)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_3,fmb_$i_3)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_3,fmb_$i_4)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_3,fmb_$i_5)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_3,fmb_$i_6)
% 4.33/0.98           & rq_M_to_1(fmb_$i_4,id)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_4,fmb_$i_2)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_4,fmb_$i_3)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_4,fmb_$i_4)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_4,fmb_$i_5)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_4,fmb_$i_6)
% 4.33/0.98           & rq_M_to_1(fmb_$i_5,id)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_5,fmb_$i_2)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_5,fmb_$i_3)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_5,fmb_$i_4)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_5,fmb_$i_5)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_5,fmb_$i_6)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_6,id)
% 4.33/0.98           & rq_M_to_1(fmb_$i_6,fmb_$i_2)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_6,fmb_$i_3)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_6,fmb_$i_4)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_6,fmb_$i_5)
% 4.33/0.98           & ~rq_M_to_1(fmb_$i_6,fmb_$i_6)
% 4.33/0.98  
% 4.33/0.98  ).
% 4.33/0.98  
% 4.33/0.98  tff(declare_rr_N_times_M_to_1,type,rr_N_times_M_to_1: $i * $i > $o ).
% 4.33/0.98  tff(predicate_rr_N_times_M_to_1,axiom,
% 4.33/0.98             rr_N_times_M_to_1(id,id)
% 4.33/0.98           & ~rr_N_times_M_to_1(id,fmb_$i_2)
% 4.33/0.98           & ~rr_N_times_M_to_1(id,fmb_$i_3)
% 4.33/0.98           & ~rr_N_times_M_to_1(id,fmb_$i_4)
% 4.33/0.98           & ~rr_N_times_M_to_1(id,fmb_$i_5)
% 4.33/0.98           & ~rr_N_times_M_to_1(id,fmb_$i_6)
% 4.33/0.98           & rr_N_times_M_to_1(fmb_$i_2,id)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_2,fmb_$i_2)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_2,fmb_$i_3)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_2,fmb_$i_4)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_2,fmb_$i_5)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_2,fmb_$i_6)
% 4.33/0.98           & rr_N_times_M_to_1(fmb_$i_3,id)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_3,fmb_$i_2)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_3,fmb_$i_3)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_3,fmb_$i_4)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_3,fmb_$i_5)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_3,fmb_$i_6)
% 4.33/0.98           & rr_N_times_M_to_1(fmb_$i_4,id)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_4,fmb_$i_2)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_4,fmb_$i_3)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_4,fmb_$i_4)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_4,fmb_$i_5)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_4,fmb_$i_6)
% 4.33/0.98           & rr_N_times_M_to_1(fmb_$i_5,id)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_5,fmb_$i_2)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_5,fmb_$i_3)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_5,fmb_$i_4)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_5,fmb_$i_5)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_5,fmb_$i_6)
% 4.33/0.98           & rr_N_times_M_to_1(fmb_$i_6,id)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_6,fmb_$i_2)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_6,fmb_$i_3)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_6,fmb_$i_4)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_6,fmb_$i_5)
% 4.33/0.98           & ~rr_N_times_M_to_1(fmb_$i_6,fmb_$i_6)
% 4.33/0.98  
% 4.33/0.98  ).
% 4.33/0.98  
% 4.33/0.98  tff(declare_xsd_integer,type,xsd_integer: $i > $o ).
% 4.33/0.98  tff(predicate_xsd_integer,axiom,
% 4.33/0.98             xsd_integer(id)
% 4.33/0.98  %         xsd_integer(fmb_$i_2) undefined in model
% 4.33/0.98  %         xsd_integer(fmb_$i_3) undefined in model
% 4.33/0.98  %         xsd_integer(fmb_$i_4) undefined in model
% 4.33/0.98  %         xsd_integer(fmb_$i_5) undefined in model
% 4.33/0.98  %         xsd_integer(fmb_$i_6) undefined in model
% 4.33/0.98  
% 4.33/0.98  ).
% 4.33/0.98  
% 4.33/0.98  tff(declare_xsd_string,type,xsd_string: $i > $o ).
% 4.33/0.98  tff(predicate_xsd_string,axiom,
% 4.33/0.98             ~xsd_string(id)
% 4.33/0.98  %         xsd_string(fmb_$i_2) undefined in model
% 4.33/0.98  %         xsd_string(fmb_$i_3) undefined in model
% 4.33/0.98  %         xsd_string(fmb_$i_4) undefined in model
% 4.33/0.98  %         xsd_string(fmb_$i_5) undefined in model
% 4.33/0.98  %         xsd_string(fmb_$i_6) undefined in model
% 4.33/0.98  
% 4.33/0.98  ).
% 4.33/0.98  
% 4.33/0.98  % SZS output end FiniteModel for theBenchmark
% 4.33/0.98  % (1327)------------------------------
% 4.33/0.98  % (1327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.33/0.98  % (1327)Termination reason: Satisfiable
% 4.33/0.98  
% 4.33/0.98  % (1327)Memory used [KB]: 9450
% 4.33/0.98  % (1327)Time elapsed: 0.608 s
% 4.33/0.98  % (1327)Instructions burned: 3252 (million)
% 4.33/0.98  % (1320)Success in time 0.624 s
%------------------------------------------------------------------------------