TSTP Solution File: LCL948_10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL948_10 : 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 : n021.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 00:37:01 EDT 2024
% Result : CounterSatisfiable 0.21s 0.55s
% Output : FiniteModel 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL948_10 : TPTP v8.2.0. Released v8.2.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 01:22:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (9626)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (9628)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (9627)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.38 % (9630)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.38 % (9632)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.38 % (9629)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)
% 0.13/0.38 % (9631)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.38 % (9633)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)
% 0.13/0.40 TRYING [1,1]
% 0.13/0.41 TRYING [2,1]
% 0.13/0.41 TRYING [1,1]
% 0.13/0.41 TRYING [2,1]
% 0.13/0.42 TRYING [1,2]
% 0.13/0.42 TRYING [1,2]
% 0.21/0.43 TRYING [3,1]
% 0.21/0.43 TRYING [1,1]
% 0.21/0.44 TRYING [1,1]
% 0.21/0.44 TRYING [3,1]
% 0.21/0.44 TRYING [2,1]
% 0.21/0.44 TRYING [2,1]
% 0.21/0.45 TRYING [2,2]
% 0.21/0.46 TRYING [1,2]
% 0.21/0.46 TRYING [1,2]
% 0.21/0.46 TRYING [2,2]
% 0.21/0.47 TRYING [3,1]
% 0.21/0.47 TRYING [3,1]
% 0.21/0.51 TRYING [2,2]
% 0.21/0.52 TRYING [2,2]
% 0.21/0.52 TRYING [1,3]
% 0.21/0.53 TRYING [1,3]
% 0.21/0.55 Finite Model Found!
% 0.21/0.55 % SZS status CounterSatisfiable for theBenchmark
% 0.21/0.55 % (9627)First to succeed.
% 0.21/0.55 % (9627)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9626"
% 0.21/0.55 % SZS output start FiniteModel for theBenchmark
% 0.21/0.55 tff(declare_$i,type,$i:$tType).
% 0.21/0.55 tff(declare_$i1,type,empty_set:$i).
% 0.21/0.55 tff(declare_$i2,type,fmb_$i_2:$i).
% 0.21/0.55 tff(declare_$i3,type,fmb_$i_3:$i).
% 0.21/0.55 tff(finite_domain,axiom,
% 0.21/0.55 ! [X:$i] : (
% 0.21/0.55 X = empty_set | X = fmb_$i_2 | X = fmb_$i_3
% 0.21/0.55 ) ).
% 0.21/0.55
% 0.21/0.55 tff(distinct_domain,axiom,
% 0.21/0.55 empty_set != fmb_$i_2 & empty_set != fmb_$i_3 & fmb_$i_2 != fmb_$i_3
% 0.21/0.55 ).
% 0.21/0.55
% 0.21/0.55 tff(declare_bool,type,$o:$tType).
% 0.21/0.55 tff(declare_bool1,type,fmb_bool_1:$o).
% 0.21/0.55 tff(finite_domain,axiom,
% 0.21/0.55 ! [X:$o] : (
% 0.21/0.55 X = fmb_bool_1
% 0.21/0.55 ) ).
% 0.21/0.55
% 0.21/0.55 tff('declare_$ki_world',type,'$ki_world':$tType).
% 0.21/0.55 tff('declare_$ki_world1',type,'$ki_local_world':'$ki_world').
% 0.21/0.55 tff(finite_domain,axiom,
% 0.21/0.55 ! [X:'$ki_world'] : (
% 0.21/0.55 X = '$ki_local_world'
% 0.21/0.55 ) ).
% 0.21/0.55
% 0.21/0.55 tff(declare_singleton,type,singleton: $i > $i).
% 0.21/0.55 tff(function_singleton,axiom,
% 0.21/0.55 singleton(empty_set) = fmb_$i_3
% 0.21/0.55 & singleton(fmb_$i_2) = fmb_$i_2
% 0.21/0.55 & singleton(fmb_$i_3) = fmb_$i_3
% 0.21/0.55
% 0.21/0.55 ).
% 0.21/0.55
% 0.21/0.55 tff(declare_product,type,product: $i > $i).
% 0.21/0.55 tff(function_product,axiom,
% 0.21/0.55 product(empty_set) = fmb_$i_3
% 0.21/0.55 & product(fmb_$i_2) = empty_set
% 0.21/0.55 & product(fmb_$i_3) = fmb_$i_2
% 0.21/0.55
% 0.21/0.55 ).
% 0.21/0.55
% 0.21/0.55 tff(declare_unordered_pair,type,unordered_pair: $i * $i > $i).
% 0.21/0.55 tff(function_unordered_pair,axiom,
% 0.21/0.55 unordered_pair(empty_set,empty_set) = fmb_$i_3
% 0.21/0.55 & unordered_pair(empty_set,fmb_$i_2) = fmb_$i_2
% 0.21/0.55 & unordered_pair(empty_set,fmb_$i_3) = empty_set
% 0.21/0.55 & unordered_pair(fmb_$i_2,empty_set) = fmb_$i_2
% 0.21/0.55 & unordered_pair(fmb_$i_2,fmb_$i_2) = empty_set
% 0.21/0.55 & unordered_pair(fmb_$i_2,fmb_$i_3) = fmb_$i_3
% 0.21/0.55 & unordered_pair(fmb_$i_3,empty_set) = fmb_$i_3
% 0.21/0.55 & unordered_pair(fmb_$i_3,fmb_$i_2) = empty_set
% 0.21/0.55 & unordered_pair(fmb_$i_3,fmb_$i_3) = fmb_$i_2
% 0.21/0.55
% 0.21/0.55 ).
% 0.21/0.55
% 0.21/0.55 tff(declare_intersection,type,intersection: $i * $i > $i).
% 0.21/0.55 tff(function_intersection,axiom,
% 0.21/0.55 intersection(empty_set,empty_set) = empty_set
% 0.21/0.55 & intersection(empty_set,fmb_$i_2) = empty_set
% 0.21/0.55 & intersection(empty_set,fmb_$i_3) = fmb_$i_3
% 0.21/0.55 & intersection(fmb_$i_2,empty_set) = empty_set
% 0.21/0.55 & intersection(fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 0.21/0.55 & intersection(fmb_$i_2,fmb_$i_3) = fmb_$i_2
% 0.21/0.55 & intersection(fmb_$i_3,empty_set) = empty_set
% 0.21/0.55 & intersection(fmb_$i_3,fmb_$i_2) = fmb_$i_2
% 0.21/0.55 & intersection(fmb_$i_3,fmb_$i_3) = fmb_$i_3
% 0.21/0.55
% 0.21/0.55 ).
% 0.21/0.55
% 0.21/0.55 tff(declare_difference,type,difference: $i * $i > $i).
% 0.21/0.55 tff(function_difference,axiom,
% 0.21/0.55 difference(empty_set,empty_set) = empty_set
% 0.21/0.55 & difference(empty_set,fmb_$i_2) = fmb_$i_2
% 0.21/0.55 & difference(empty_set,fmb_$i_3) = empty_set
% 0.21/0.55 & difference(fmb_$i_2,empty_set) = fmb_$i_2
% 0.21/0.55 & difference(fmb_$i_2,fmb_$i_2) = fmb_$i_3
% 0.21/0.55 & difference(fmb_$i_2,fmb_$i_3) = fmb_$i_2
% 0.21/0.55 & difference(fmb_$i_3,empty_set) = fmb_$i_3
% 0.21/0.55 & difference(fmb_$i_3,fmb_$i_2) = fmb_$i_2
% 0.21/0.55 & difference(fmb_$i_3,fmb_$i_3) = fmb_$i_3
% 0.21/0.55
% 0.21/0.55 ).
% 0.21/0.55
% 0.21/0.55 tff(declare_sum,type,sum: $i > $i).
% 0.21/0.55 tff(function_sum,axiom,
% 0.21/0.55 sum(empty_set) = empty_set
% 0.21/0.55 & sum(fmb_$i_2) = fmb_$i_2
% 0.21/0.55 & sum(fmb_$i_3) = fmb_$i_3
% 0.21/0.55
% 0.21/0.55 ).
% 0.21/0.55
% 0.21/0.55 tff(declare_union,type,union: $i * $i > $i).
% 0.21/0.55 tff(function_union,axiom,
% 0.21/0.55 union(empty_set,empty_set) = fmb_$i_2
% 0.21/0.55 & union(empty_set,fmb_$i_2) = fmb_$i_2
% 0.21/0.55 & union(empty_set,fmb_$i_3) = empty_set
% 0.21/0.55 & union(fmb_$i_2,empty_set) = empty_set
% 0.21/0.55 & union(fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 0.21/0.55 & union(fmb_$i_2,fmb_$i_3) = fmb_$i_2
% 0.21/0.55 & union(fmb_$i_3,empty_set) = fmb_$i_3
% 0.21/0.55 & union(fmb_$i_3,fmb_$i_2) = fmb_$i_2
% 0.21/0.55 & union(fmb_$i_3,fmb_$i_3) = fmb_$i_3
% 0.21/0.55
% 0.21/0.55 ).
% 0.21/0.55
% 0.21/0.55 tff(declare_power_set,type,power_set: $i > $i).
% 0.21/0.55 tff(function_power_set,axiom,
% 0.21/0.55 power_set(empty_set) = fmb_$i_3
% 0.21/0.55 & power_set(fmb_$i_2) = fmb_$i_2
% 0.21/0.55 & power_set(fmb_$i_3) = fmb_$i_3
% 0.21/0.55
% 0.21/0.55 ).
% 0.21/0.55
% 0.21/0.55 tff('declare_$ki_accessible',type,'$ki_accessible': '$ki_world' * '$ki_world' > $o ).
% 0.21/0.55 tff('predicate_$ki_accessible',axiom,
% 0.21/0.55 '$ki_accessible'('$ki_local_world','$ki_local_world')
% 0.21/0.55
% 0.21/0.55 ).
% 0.21/0.55
% 0.21/0.55 tff(declare_qmltpeq,type,qmltpeq: '$ki_world' * $i * $i > $o ).
% 0.21/0.55 tff(predicate_qmltpeq,axiom,
% 0.21/0.55 qmltpeq('$ki_local_world',empty_set,empty_set)
% 0.21/0.55 & ~qmltpeq('$ki_local_world',empty_set,fmb_$i_2)
% 0.21/0.55 & ~qmltpeq('$ki_local_world',empty_set,fmb_$i_3)
% 0.21/0.55 & ~qmltpeq('$ki_local_world',fmb_$i_2,empty_set)
% 0.21/0.55 & qmltpeq('$ki_local_world',fmb_$i_2,fmb_$i_2)
% 0.21/0.55 & ~qmltpeq('$ki_local_world',fmb_$i_2,fmb_$i_3)
% 0.21/0.55 & ~qmltpeq('$ki_local_world',fmb_$i_3,empty_set)
% 0.21/0.55 & ~qmltpeq('$ki_local_world',fmb_$i_3,fmb_$i_2)
% 0.21/0.55 & qmltpeq('$ki_local_world',fmb_$i_3,fmb_$i_3)
% 0.21/0.55
% 0.21/0.55 ).
% 0.21/0.55
% 0.21/0.55 tff(declare_equal_set,type,equal_set: '$ki_world' * $i * $i > $o ).
% 0.21/0.55 tff(predicate_equal_set,axiom,
% 0.21/0.55 equal_set('$ki_local_world',empty_set,empty_set)
% 0.21/0.55 & ~equal_set('$ki_local_world',empty_set,fmb_$i_2)
% 0.21/0.55 & ~equal_set('$ki_local_world',empty_set,fmb_$i_3)
% 0.21/0.55 & ~equal_set('$ki_local_world',fmb_$i_2,empty_set)
% 0.21/0.55 & ~equal_set('$ki_local_world',fmb_$i_2,fmb_$i_2)
% 0.21/0.55 & ~equal_set('$ki_local_world',fmb_$i_2,fmb_$i_3)
% 0.21/0.55 & ~equal_set('$ki_local_world',fmb_$i_3,empty_set)
% 0.21/0.55 & ~equal_set('$ki_local_world',fmb_$i_3,fmb_$i_2)
% 0.21/0.55 & ~equal_set('$ki_local_world',fmb_$i_3,fmb_$i_3)
% 0.21/0.55
% 0.21/0.55 ).
% 0.21/0.55
% 0.21/0.55 tff(declare_member,type,member: '$ki_world' * $i * $i > $o ).
% 0.21/0.55 tff(predicate_member,axiom,
% 0.21/0.55 ~member('$ki_local_world',empty_set,empty_set)
% 0.21/0.55 & ~member('$ki_local_world',empty_set,fmb_$i_2)
% 0.21/0.55 & member('$ki_local_world',empty_set,fmb_$i_3)
% 0.21/0.55 & ~member('$ki_local_world',fmb_$i_2,empty_set)
% 0.21/0.55 & ~member('$ki_local_world',fmb_$i_2,fmb_$i_2)
% 0.21/0.55 & ~member('$ki_local_world',fmb_$i_2,fmb_$i_3)
% 0.21/0.55 & ~member('$ki_local_world',fmb_$i_3,empty_set)
% 0.21/0.55 & ~member('$ki_local_world',fmb_$i_3,fmb_$i_2)
% 0.21/0.55 & ~member('$ki_local_world',fmb_$i_3,fmb_$i_3)
% 0.21/0.55
% 0.21/0.55 ).
% 0.21/0.55
% 0.21/0.55 tff(declare_subset,type,subset: '$ki_world' * $i * $i > $o ).
% 0.21/0.55 tff(predicate_subset,axiom,
% 0.21/0.55 subset('$ki_local_world',empty_set,empty_set)
% 0.21/0.55 & ~subset('$ki_local_world',empty_set,fmb_$i_2)
% 0.21/0.55 & ~subset('$ki_local_world',empty_set,fmb_$i_3)
% 0.21/0.55 & ~subset('$ki_local_world',fmb_$i_2,empty_set)
% 0.21/0.55 & ~subset('$ki_local_world',fmb_$i_2,fmb_$i_2)
% 0.21/0.55 & ~subset('$ki_local_world',fmb_$i_2,fmb_$i_3)
% 0.21/0.55 & ~subset('$ki_local_world',fmb_$i_3,empty_set)
% 0.21/0.55 & ~subset('$ki_local_world',fmb_$i_3,fmb_$i_2)
% 0.21/0.55 & ~subset('$ki_local_world',fmb_$i_3,fmb_$i_3)
% 0.21/0.55
% 0.21/0.55 ).
% 0.21/0.55
% 0.21/0.55 tff('declare_$ki_exists_in_world_$i',type,'$ki_exists_in_world_$i': '$ki_world' * $i > $o ).
% 0.21/0.55 tff('predicate_$ki_exists_in_world_$i',axiom,
% 0.21/0.55 '$ki_exists_in_world_$i'('$ki_local_world',empty_set)
% 0.21/0.55 & ~'$ki_exists_in_world_$i'('$ki_local_world',fmb_$i_2)
% 0.21/0.55 & ~'$ki_exists_in_world_$i'('$ki_local_world',fmb_$i_3)
% 0.21/0.55
% 0.21/0.55 ).
% 0.21/0.55
% 0.21/0.55 % SZS output end FiniteModel for theBenchmark
% 0.21/0.55 % (9627)------------------------------
% 0.21/0.55 % (9627)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.55 % (9627)Termination reason: Satisfiable
% 0.21/0.55
% 0.21/0.55 % (9627)Memory used [KB]: 2508
% 0.21/0.55 % (9627)Time elapsed: 0.175 s
% 0.21/0.55 % (9627)Instructions burned: 417 (million)
% 0.21/0.55 % (9626)Success in time 0.196 s
%------------------------------------------------------------------------------