TSTP Solution File: LCL966_9 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL966_9 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n002.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 May 21 00:37:06 EDT 2024

% Result   : CounterSatisfiable 0.22s 0.45s
% Output   : FiniteModel 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : LCL966_9 : TPTP v8.2.0. Released v8.2.0.
% 0.04/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon May 20 02:16:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  % (7095)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39  % (7098)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)
% 0.22/0.39  % (7102)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)
% 0.22/0.39  % (7099)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.39  % (7101)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.40  % (7100)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.40  TRYING [1,1]
% 0.22/0.40  TRYING [2,1]
% 0.22/0.40  % (7096)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.41  TRYING [1,2]
% 0.22/0.41  % (7097)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.41  TRYING [3,1]
% 0.22/0.41  TRYING [1,1]
% 0.22/0.42  TRYING [2,1]
% 0.22/0.42  TRYING [1,2]
% 0.22/0.42  TRYING [2,2]
% 0.22/0.43  TRYING [1,1]
% 0.22/0.43  TRYING [3,1]
% 0.22/0.43  TRYING [2,1]
% 0.22/0.43  TRYING [1,2]
% 0.22/0.44  TRYING [1,1]
% 0.22/0.44  TRYING [2,1]
% 0.22/0.44  TRYING [2,2]
% 0.22/0.45  TRYING [3,1]
% 0.22/0.45  TRYING [1,2]
% 0.22/0.45  Finite Model Found!
% 0.22/0.45  % SZS status CounterSatisfiable for theBenchmark
% 0.22/0.45  % (7102)First to succeed.
% 0.22/0.45  % (7102)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7095"
% 0.22/0.46  % SZS output start FiniteModel for theBenchmark
% 0.22/0.46  tff(declare_$i,type,$i:$tType).
% 0.22/0.46  tff(declare_$i1,type,fmb_$i_1:$i).
% 0.22/0.46  tff(declare_$i2,type,fmb_$i_2:$i).
% 0.22/0.46  tff(finite_domain,axiom,
% 0.22/0.46        ! [X:$i] : (
% 0.22/0.46           X = fmb_$i_1 | X = fmb_$i_2
% 0.22/0.46        ) ).
% 0.22/0.46  
% 0.22/0.46  tff(distinct_domain,axiom,
% 0.22/0.46           fmb_$i_1 != fmb_$i_2
% 0.22/0.46  ).
% 0.22/0.46  
% 0.22/0.46  tff(declare_bool,type,$o:$tType).
% 0.22/0.46  tff(declare_bool1,type,fmb_bool_1:$o).
% 0.22/0.46  tff(finite_domain,axiom,
% 0.22/0.46        ! [X:$o] : (
% 0.22/0.46           X = fmb_bool_1
% 0.22/0.46        ) ).
% 0.22/0.46  
% 0.22/0.46  tff('declare_$ki_world',type,'$ki_world':$tType).
% 0.22/0.46  tff('declare_$ki_world1',type,'$ki_local_world':'$ki_world').
% 0.22/0.46  tff('declare_$ki_world2',type,fmb_'$ki_world'_2:'$ki_world').
% 0.22/0.46  tff(finite_domain,axiom,
% 0.22/0.46        ! [X:'$ki_world'] : (
% 0.22/0.46           X = '$ki_local_world' | X = fmb_'$ki_world'_2
% 0.22/0.46        ) ).
% 0.22/0.46  
% 0.22/0.46  tff(distinct_domain,axiom,
% 0.22/0.46           '$ki_local_world' != fmb_'$ki_world'_2
% 0.22/0.46  ).
% 0.22/0.46  
% 0.22/0.46  tff(declare_set_intersection2,type,set_intersection2: $i * $i > $i).
% 0.22/0.46  tff(function_set_intersection2,axiom,
% 0.22/0.46             set_intersection2(fmb_$i_1,fmb_$i_1) = fmb_$i_1
% 0.22/0.46           & set_intersection2(fmb_$i_1,fmb_$i_2) = fmb_$i_1
% 0.22/0.46           & set_intersection2(fmb_$i_2,fmb_$i_1) = fmb_$i_2
% 0.22/0.46           & set_intersection2(fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 0.22/0.46  
% 0.22/0.46  ).
% 0.22/0.46  
% 0.22/0.46  tff(declare_singleton,type,singleton: $i > $i).
% 0.22/0.46  tff(function_singleton,axiom,
% 0.22/0.46             singleton(fmb_$i_1) = fmb_$i_2
% 0.22/0.46           & singleton(fmb_$i_2) = fmb_$i_1
% 0.22/0.46  
% 0.22/0.46  ).
% 0.22/0.46  
% 0.22/0.46  tff('declare_$ki_accessible',type,'$ki_accessible': '$ki_world' * '$ki_world' > $o ).
% 0.22/0.46  tff('predicate_$ki_accessible',axiom,
% 0.22/0.46             ~'$ki_accessible'('$ki_local_world','$ki_local_world')
% 0.22/0.46           & '$ki_accessible'('$ki_local_world',fmb_'$ki_world'_2)
% 0.22/0.46           & '$ki_accessible'(fmb_'$ki_world'_2,'$ki_local_world')
% 0.22/0.46           & ~'$ki_accessible'(fmb_'$ki_world'_2,fmb_'$ki_world'_2)
% 0.22/0.46  
% 0.22/0.46  ).
% 0.22/0.46  
% 0.22/0.46  tff(declare_qmltpeq,type,qmltpeq: '$ki_world' * $i * $i > $o ).
% 0.22/0.46  tff(predicate_qmltpeq,axiom,
% 0.22/0.46             ~qmltpeq('$ki_local_world',fmb_$i_1,fmb_$i_1)
% 0.22/0.46           & ~qmltpeq('$ki_local_world',fmb_$i_1,fmb_$i_2)
% 0.22/0.46           & ~qmltpeq('$ki_local_world',fmb_$i_2,fmb_$i_1)
% 0.22/0.46           & ~qmltpeq('$ki_local_world',fmb_$i_2,fmb_$i_2)
% 0.22/0.46           & ~qmltpeq(fmb_'$ki_world'_2,fmb_$i_1,fmb_$i_1)
% 0.22/0.46           & qmltpeq(fmb_'$ki_world'_2,fmb_$i_1,fmb_$i_2)
% 0.22/0.46           & qmltpeq(fmb_'$ki_world'_2,fmb_$i_2,fmb_$i_1)
% 0.22/0.46           & qmltpeq(fmb_'$ki_world'_2,fmb_$i_2,fmb_$i_2)
% 0.22/0.46  
% 0.22/0.46  ).
% 0.22/0.46  
% 0.22/0.46  tff(declare_in,type,in: '$ki_world' * $i * $i > $o ).
% 0.22/0.46  tff(predicate_in,axiom,
% 0.22/0.46             in('$ki_local_world',fmb_$i_1,fmb_$i_1)
% 0.22/0.46           & in('$ki_local_world',fmb_$i_1,fmb_$i_2)
% 0.22/0.46           & in('$ki_local_world',fmb_$i_2,fmb_$i_1)
% 0.22/0.46           & in('$ki_local_world',fmb_$i_2,fmb_$i_2)
% 0.22/0.46           & ~in(fmb_'$ki_world'_2,fmb_$i_1,fmb_$i_1)
% 0.22/0.46           & in(fmb_'$ki_world'_2,fmb_$i_1,fmb_$i_2)
% 0.22/0.46           & ~in(fmb_'$ki_world'_2,fmb_$i_2,fmb_$i_1)
% 0.22/0.46           & ~in(fmb_'$ki_world'_2,fmb_$i_2,fmb_$i_2)
% 0.22/0.46  
% 0.22/0.46  ).
% 0.22/0.46  
% 0.22/0.46  tff(declare_disjoint,type,disjoint: '$ki_world' * $i * $i > $o ).
% 0.22/0.46  tff(predicate_disjoint,axiom,
% 0.22/0.46             ~disjoint('$ki_local_world',fmb_$i_1,fmb_$i_1)
% 0.22/0.46           & ~disjoint('$ki_local_world',fmb_$i_1,fmb_$i_2)
% 0.22/0.46           & disjoint('$ki_local_world',fmb_$i_2,fmb_$i_1)
% 0.22/0.46           & disjoint('$ki_local_world',fmb_$i_2,fmb_$i_2)
% 0.22/0.46           & ~disjoint(fmb_'$ki_world'_2,fmb_$i_1,fmb_$i_1)
% 0.22/0.46           & ~disjoint(fmb_'$ki_world'_2,fmb_$i_1,fmb_$i_2)
% 0.22/0.46           & ~disjoint(fmb_'$ki_world'_2,fmb_$i_2,fmb_$i_1)
% 0.22/0.46           & ~disjoint(fmb_'$ki_world'_2,fmb_$i_2,fmb_$i_2)
% 0.22/0.46  
% 0.22/0.46  ).
% 0.22/0.46  
% 0.22/0.46  tff(declare_empty,type,empty: '$ki_world' * $i > $o ).
% 0.22/0.46  tff(predicate_empty,axiom,
% 0.22/0.46             ~empty('$ki_local_world',fmb_$i_1)
% 0.22/0.46           & ~empty('$ki_local_world',fmb_$i_2)
% 0.22/0.46           & empty(fmb_'$ki_world'_2,fmb_$i_1)
% 0.22/0.46           & ~empty(fmb_'$ki_world'_2,fmb_$i_2)
% 0.22/0.46  
% 0.22/0.46  ).
% 0.22/0.46  
% 0.22/0.46  tff('declare_$ki_exists_in_world_$i',type,'$ki_exists_in_world_$i': '$ki_world' * $i > $o ).
% 0.22/0.46  tff('predicate_$ki_exists_in_world_$i',axiom,
% 0.22/0.46             '$ki_exists_in_world_$i'('$ki_local_world',fmb_$i_1)
% 0.22/0.46           & ~'$ki_exists_in_world_$i'('$ki_local_world',fmb_$i_2)
% 0.22/0.46           & '$ki_exists_in_world_$i'(fmb_'$ki_world'_2,fmb_$i_1)
% 0.22/0.46           & ~'$ki_exists_in_world_$i'(fmb_'$ki_world'_2,fmb_$i_2)
% 0.22/0.46  
% 0.22/0.46  ).
% 0.22/0.46  
% 0.22/0.46  % SZS output end FiniteModel for theBenchmark
% 0.22/0.46  % (7102)------------------------------
% 0.22/0.46  % (7102)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.46  % (7102)Termination reason: Satisfiable
% 0.22/0.46  
% 0.22/0.46  % (7102)Memory used [KB]: 1350
% 0.22/0.46  % (7102)Time elapsed: 0.067 s
% 0.22/0.46  % (7102)Instructions burned: 124 (million)
% 0.22/0.46  % (7095)Success in time 0.085 s
%------------------------------------------------------------------------------