TSTP Solution File: LCL219-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL219-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.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 Apr 30 13:41:04 EDT 2024

% Result   : Satisfiable 2.68s 0.74s
% Output   : FiniteModel 2.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL219-1 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n028.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   : Mon Apr 29 23:16:44 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (7234)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (7238)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [3]
% 0.15/0.37  % (7235)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  % (7237)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37  % (7239)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37  % (7236)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  % (7240)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37  % (7241)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [2]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [4]
% 0.15/0.39  TRYING [4]
% 0.15/0.39  TRYING [4]
% 0.15/0.39  TRYING [4]
% 0.21/0.45  TRYING [5]
% 0.21/0.50  TRYING [5]
% 0.21/0.50  TRYING [5]
% 0.21/0.51  TRYING [5]
% 2.68/0.74  Finite Model Found!
% 2.68/0.74  % SZS status Satisfiable for theBenchmark
% 2.68/0.74  % (7238)First to succeed.
% 2.68/0.74  % SZS output start FiniteModel for theBenchmark
% 2.68/0.74  tff(declare_$i,type,$i:$tType).
% 2.68/0.74  tff(declare_$i1,type,p:$i).
% 2.68/0.74  tff(declare_$i2,type,fmb_$i_2:$i).
% 2.68/0.74  tff(declare_$i3,type,fmb_$i_3:$i).
% 2.68/0.74  tff(declare_$i4,type,fmb_$i_4:$i).
% 2.68/0.74  tff(declare_$i5,type,fmb_$i_5:$i).
% 2.68/0.74  tff(finite_domain,axiom,
% 2.68/0.74        ! [X:$i] : (
% 2.68/0.74           X = p | X = fmb_$i_2 | X = fmb_$i_3 | X = fmb_$i_4 | X = fmb_$i_5
% 2.68/0.74        ) ).
% 2.68/0.74  
% 2.68/0.74  tff(distinct_domain,axiom,
% 2.68/0.74           p != fmb_$i_2 & p != fmb_$i_3 & p != fmb_$i_4 & p != fmb_$i_5 & fmb_$i_2 != fmb_$i_3 & 
% 2.68/0.74           fmb_$i_2 != fmb_$i_4 & fmb_$i_2 != fmb_$i_5 & fmb_$i_3 != fmb_$i_4 & fmb_$i_3 != fmb_$i_5 & fmb_$i_4 != fmb_$i_5
% 2.68/0.74  ).
% 2.68/0.74  
% 2.68/0.74  tff(declare_bool,type,$o:$tType).
% 2.68/0.74  tff(declare_bool1,type,fmb_bool_1:$o).
% 2.68/0.74  tff(finite_domain,axiom,
% 2.68/0.74        ! [X:$o] : (
% 2.68/0.74           X = fmb_bool_1
% 2.68/0.74        ) ).
% 2.68/0.74  
% 2.68/0.74  tff(declare_q,type,q:$i).
% 2.68/0.74  tff(q_definition,axiom,q = p).
% 2.68/0.74  tff(declare_or,type,or: $i * $i > $i).
% 2.68/0.74  tff(function_or,axiom,
% 2.68/0.74             or(p,p) = p
% 2.68/0.74           & or(p,fmb_$i_2) = fmb_$i_2
% 2.68/0.74           & or(p,fmb_$i_3) = fmb_$i_2
% 2.68/0.74           & or(p,fmb_$i_4) = fmb_$i_5
% 2.68/0.74           & or(p,fmb_$i_5) = fmb_$i_5
% 2.68/0.74           & or(fmb_$i_2,p) = fmb_$i_3
% 2.68/0.74           & or(fmb_$i_2,fmb_$i_2) = fmb_$i_3
% 2.68/0.74           & or(fmb_$i_2,fmb_$i_3) = fmb_$i_3
% 2.68/0.74           & or(fmb_$i_2,fmb_$i_4) = fmb_$i_5
% 2.68/0.74           & or(fmb_$i_2,fmb_$i_5) = fmb_$i_5
% 2.68/0.74           & or(fmb_$i_3,p) = fmb_$i_3
% 2.68/0.74           & or(fmb_$i_3,fmb_$i_2) = fmb_$i_3
% 2.68/0.74           & or(fmb_$i_3,fmb_$i_3) = fmb_$i_3
% 2.68/0.74           & or(fmb_$i_3,fmb_$i_4) = fmb_$i_5
% 2.68/0.74           & or(fmb_$i_3,fmb_$i_5) = fmb_$i_5
% 2.68/0.74           & or(fmb_$i_4,p) = fmb_$i_4
% 2.68/0.74           & or(fmb_$i_4,fmb_$i_2) = fmb_$i_5
% 2.68/0.74           & or(fmb_$i_4,fmb_$i_3) = fmb_$i_5
% 2.68/0.74           & or(fmb_$i_4,fmb_$i_4) = fmb_$i_4
% 2.68/0.74           & or(fmb_$i_4,fmb_$i_5) = fmb_$i_5
% 2.68/0.74           & or(fmb_$i_5,p) = fmb_$i_4
% 2.68/0.74           & or(fmb_$i_5,fmb_$i_2) = fmb_$i_5
% 2.68/0.74           & or(fmb_$i_5,fmb_$i_3) = fmb_$i_5
% 2.68/0.74           & or(fmb_$i_5,fmb_$i_4) = fmb_$i_5
% 2.68/0.74           & or(fmb_$i_5,fmb_$i_5) = fmb_$i_5
% 2.68/0.74  
% 2.68/0.74  ).
% 2.68/0.74  
% 2.68/0.74  tff(declare_not,type,not: $i > $i).
% 2.68/0.74  tff(function_not,axiom,
% 2.68/0.74             not(p) = fmb_$i_2
% 2.68/0.74           & not(fmb_$i_2) = fmb_$i_5
% 2.68/0.74           & not(fmb_$i_3) = fmb_$i_4
% 2.68/0.74           & not(fmb_$i_4) = p
% 2.68/0.74           & not(fmb_$i_5) = p
% 2.68/0.74  
% 2.68/0.74  ).
% 2.68/0.74  
% 2.68/0.74  tff(declare_axiom,type,axiom: $i > $o ).
% 2.68/0.74  tff(predicate_axiom,axiom,
% 2.68/0.74             ~axiom(p)
% 2.68/0.74           & ~axiom(fmb_$i_2)
% 2.68/0.74           & axiom(fmb_$i_3)
% 2.68/0.74           & ~axiom(fmb_$i_4)
% 2.68/0.74           & axiom(fmb_$i_5)
% 2.68/0.74  
% 2.68/0.74  ).
% 2.68/0.74  
% 2.68/0.74  tff(declare_theorem,type,theorem: $i > $o ).
% 2.68/0.74  tff(predicate_theorem,axiom,
% 2.68/0.74             ~theorem(p)
% 2.68/0.74           & theorem(fmb_$i_2)
% 2.68/0.74           & theorem(fmb_$i_3)
% 2.68/0.74           & theorem(fmb_$i_4)
% 2.68/0.74           & theorem(fmb_$i_5)
% 2.68/0.74  
% 2.68/0.74  ).
% 2.68/0.74  
% 2.68/0.74  % SZS output end FiniteModel for theBenchmark
% 2.68/0.74  % (7238)------------------------------
% 2.68/0.74  % (7238)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.68/0.74  % (7238)Termination reason: Satisfiable
% 2.68/0.74  
% 2.68/0.74  % (7238)Memory used [KB]: 1400
% 2.68/0.74  % (7238)Time elapsed: 0.373 s
% 2.68/0.74  % (7238)Instructions burned: 1058 (million)
% 2.68/0.74  % (7238)------------------------------
% 2.68/0.74  % (7238)------------------------------
% 2.68/0.74  % (7234)Success in time 0.371 s
%------------------------------------------------------------------------------