TSTP Solution File: SET781-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET781-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 09:18:55 EDT 2024
% Result : Satisfiable 0.14s 0.37s
% Output : FiniteModel 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET781-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 16:20:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (21095)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (21101)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (21096)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (21097)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (21099)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (21098)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)
% 0.14/0.37 % (21100)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (21102)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 Finite Model Found!
% 0.14/0.37 % SZS status Satisfiable for theBenchmark
% 0.14/0.37 TRYING [1,1,1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1,1,1]
% 0.14/0.37 % (21096)First to succeed.
% 0.14/0.37 TRYING [2,1,1]
% 0.14/0.38 % (21096)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21095"
% 0.14/0.38 TRYING [2,1,1]
% 0.14/0.38 Finite Model Found!
% 0.14/0.38 % SZS status Satisfiable for theBenchmark
% 0.14/0.38 % (21102)Also succeeded, but the first one will report.
% 0.14/0.38 Finite Model Found!
% 0.14/0.38 % SZS status Satisfiable for theBenchmark
% 0.14/0.38 Finite Model Found!
% 0.14/0.38 % (21097)Also succeeded, but the first one will report.
% 0.14/0.38 % SZS status Satisfiable for theBenchmark
% 0.14/0.38 % (21099)Also succeeded, but the first one will report.
% 0.14/0.38 % SZS output start FiniteModel for theBenchmark
% 0.14/0.38 tff(declare_$i,type,$i:$tType).
% 0.14/0.38 tff(declare_$i1,type,empty_set:$i).
% 0.14/0.38 tff(declare_$i2,type,fmb_$i_2:$i).
% 0.14/0.38 tff(finite_domain,axiom,
% 0.14/0.38 ! [X:$i] : (
% 0.14/0.38 X = empty_set | X = fmb_$i_2
% 0.14/0.38 ) ).
% 0.14/0.38
% 0.14/0.38 tff(distinct_domain,axiom,
% 0.14/0.38 empty_set != fmb_$i_2
% 0.14/0.38 ).
% 0.14/0.38
% 0.14/0.38 tff(declare_bool,type,$o:$tType).
% 0.14/0.38 tff(declare_bool1,type,fmb_bool_1:$o).
% 0.14/0.38 tff(finite_domain,axiom,
% 0.14/0.38 ! [X:$o] : (
% 0.14/0.38 X = fmb_bool_1
% 0.14/0.38 ) ).
% 0.14/0.38
% 0.14/0.38 tff(declare_member_of_1_not_of_2,type,member_of_1_not_of_2: $i * $i > $i).
% 0.14/0.38 tff(function_member_of_1_not_of_2,axiom,
% 0.14/0.38 member_of_1_not_of_2(empty_set,empty_set) = fmb_$i_2
% 0.14/0.38 & member_of_1_not_of_2(empty_set,fmb_$i_2) = empty_set
% 0.14/0.38 & member_of_1_not_of_2(fmb_$i_2,empty_set) = fmb_$i_2
% 0.14/0.38 & member_of_1_not_of_2(fmb_$i_2,fmb_$i_2) = empty_set
% 0.14/0.38
% 0.14/0.38 ).
% 0.14/0.38
% 0.14/0.38 tff(declare_complement,type,complement: $i > $i).
% 0.14/0.38 tff(function_complement,axiom,
% 0.14/0.38 complement(empty_set) = fmb_$i_2
% 0.14/0.38 & complement(fmb_$i_2) = empty_set
% 0.14/0.38
% 0.14/0.38 ).
% 0.14/0.38
% 0.14/0.38 tff(declare_union,type,union: $i * $i > $i).
% 0.14/0.38 tff(function_union,axiom,
% 0.14/0.38 union(empty_set,empty_set) = empty_set
% 0.14/0.38 & union(empty_set,fmb_$i_2) = fmb_$i_2
% 0.14/0.38 & union(fmb_$i_2,empty_set) = fmb_$i_2
% 0.14/0.38 & union(fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 0.14/0.38
% 0.14/0.38 ).
% 0.14/0.38
% 0.14/0.38 tff(declare_intersection,type,intersection: $i * $i > $i).
% 0.14/0.38 tff(function_intersection,axiom,
% 0.14/0.38 intersection(empty_set,empty_set) = empty_set
% 0.14/0.38 & intersection(empty_set,fmb_$i_2) = empty_set
% 0.14/0.38 & intersection(fmb_$i_2,empty_set) = empty_set
% 0.14/0.38 & intersection(fmb_$i_2,fmb_$i_2) = fmb_$i_2
% 0.14/0.38
% 0.14/0.38 ).
% 0.14/0.38
% 0.14/0.38 tff(declare_member,type,member: $i * $i > $o ).
% 0.14/0.38 tff(predicate_member,axiom,
% 0.14/0.38 ~member(empty_set,empty_set)
% 0.14/0.38 & member(empty_set,fmb_$i_2)
% 0.14/0.38 & ~member(fmb_$i_2,empty_set)
% 0.14/0.38 & member(fmb_$i_2,fmb_$i_2)
% 0.14/0.38
% 0.14/0.38 ).
% 0.14/0.38
% 0.14/0.38 tff(declare_subset,type,subset: $i * $i > $o ).
% 0.14/0.38 tff(predicate_subset,axiom,
% 0.14/0.38 subset(empty_set,empty_set)
% 0.14/0.38 & subset(empty_set,fmb_$i_2)
% 0.14/0.38 & ~subset(fmb_$i_2,empty_set)
% 0.14/0.38 & subset(fmb_$i_2,fmb_$i_2)
% 0.14/0.38
% 0.14/0.38 ).
% 0.14/0.38
% 0.14/0.38 tff(declare_equal_sets,type,equal_sets: $i * $i > $o ).
% 0.14/0.38 tff(predicate_equal_sets,axiom,
% 0.14/0.38 equal_sets(empty_set,empty_set)
% 0.14/0.38 & ~equal_sets(empty_set,fmb_$i_2)
% 0.14/0.38 & ~equal_sets(fmb_$i_2,empty_set)
% 0.14/0.38 & equal_sets(fmb_$i_2,fmb_$i_2)
% 0.14/0.38
% 0.14/0.38 ).
% 0.14/0.38
% 0.14/0.38 tff(declare_equal_elements,type,equal_elements: $i * $i > $o ).
% 0.14/0.38 tff(predicate_equal_elements,axiom,
% 0.14/0.38 equal_elements(empty_set,empty_set)
% 0.14/0.38 % equal_elements(empty_set,fmb_$i_2) undefined in model
% 0.14/0.38 % equal_elements(fmb_$i_2,empty_set) undefined in model
% 0.14/0.38 % equal_elements(fmb_$i_2,fmb_$i_2) undefined in model
% 0.14/0.38
% 0.14/0.38 ).
% 0.14/0.38
% 0.14/0.38 % SZS output end FiniteModel for theBenchmark
% 0.14/0.38 % (21096)------------------------------
% 0.14/0.38 % (21096)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (21096)Termination reason: Satisfiable
% 0.14/0.38
% 0.14/0.38 % (21096)Memory used [KB]: 752
% 0.14/0.38 % (21096)Time elapsed: 0.003 s
% 0.14/0.38 % (21096)Instructions burned: 3 (million)
% 0.14/0.38 % (21095)Success in time 0.019 s
%------------------------------------------------------------------------------