%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP001_20 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:33:51 AM UTC 2026
% Result : Satisfiable 0.15s 0.48s
% Output : FiniteModel 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] : ( X = 'fmb_$i_1' ) ).
tff(declare_del,type,
del: $tType ).
tff(declare_del1,type,
fmb_del_1: del ).
tff(finite_domain_del,axiom,
! [X: del] : ( X = fmb_del_1 ) ).
tff(declare_tp__o,type,
tp__o: $tType ).
tff(declare_tp__o1,type,
fmb_tp__o_1: tp__o ).
tff(finite_domain_tp__o,axiom,
! [X: tp__o] : ( X = fmb_tp__o_1 ) ).
tff(declare_bool,type,
bool: del ).
tff(bool_definition,axiom,
bool = fmb_del_1 ).
tff(declare_ind,type,
ind: del ).
tff(ind_definition,axiom,
ind = fmb_del_1 ).
tff(declare_c_2Ebool_2ET,type,
c_2Ebool_2ET: $i ).
tff(c_2Ebool_2ET_definition,axiom,
c_2Ebool_2ET = 'fmb_$i_1' ).
tff(declare_fo__c_2Ebool_2ET,type,
fo__c_2Ebool_2ET: tp__o ).
tff(fo__c_2Ebool_2ET_definition,axiom,
fo__c_2Ebool_2ET = fmb_tp__o_1 ).
tff(declare_arr,type,
arr: ( del * del ) > del ).
tff(function_arr,axiom,
arr(fmb_del_1,fmb_del_1) = fmb_del_1 ).
tff(declare_ap,type,
ap: ( $i * $i ) > $i ).
tff(function_ap,axiom,
ap('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_k,type,
k: ( del * $i ) > $i ).
tff(function_k,axiom,
k(fmb_del_1,'fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_i,type,
i: del > $i ).
tff(function_i,axiom,
i(fmb_del_1) = 'fmb_$i_1' ).
tff(declare_inj__o,type,
inj__o: tp__o > $i ).
tff(function_inj__o,axiom,
inj__o(fmb_tp__o_1) = 'fmb_$i_1' ).
tff(declare_surj__o,type,
surj__o: $i > tp__o ).
tff(function_surj__o,axiom,
surj__o('fmb_$i_1') = fmb_tp__o_1 ).
tff(declare_c_2Emin_2E_3D,type,
c_2Emin_2E_3D: del > $i ).
tff(function_c_2Emin_2E_3D,axiom,
c_2Emin_2E_3D(fmb_del_1) = 'fmb_$i_1' ).
tff(declare_mem,type,
mem: ( $i * del ) > $o ).
tff(predicate_mem,axiom,
mem('fmb_$i_1',fmb_del_1) ).
tff(declare_p,type,
p: $i > $o ).
tff(predicate_p,axiom,
p('fmb_$i_1') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP001_20 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n008.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 11:47:56 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44 Running first-order model finding
% 0.11/0.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.48 % (1085813)Will run a generic schedule for satisfiability detection.
% 0.15/0.48 % (1085818)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2475052270_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.48 % TRYING [1,1,1]
% 0.15/0.48 % Finite Model Found!
% 0.15/0.48 % SZS status Satisfiable for theBenchmark
% 0.15/0.48 % (1085818) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1085813-1085818"...
% 0.15/0.48 % (1085818)...printing done.
% 0.15/0.48 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.15/0.48 % (1085818)------------------------------
% 0.15/0.48 % (1085818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.48 % (1085818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.48 % (1085818)CaDiCaL version: 2.1.3
% 0.15/0.48 % (1085818)Termination reason: Satisfiable
% 0.15/0.48 % (1085818)Time elapsed: 0.002 s
% 0.15/0.48 % (1085818)Peak memory usage: 11 MB
% 0.15/0.48 % (1085818)Instructions burned: 4 (million)
% 0.15/0.48 % (1085813)Success in time 0.03 s
% 0.15/0.48 % Vampire exiting
%------------------------------------------------------------------------------