%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR054+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 09:42:22 AM UTC 2026
% Result : Theorem 4.01s 1.46s
% Output : Refutation 4.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 8 unt; 2 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 8 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 4 ( 0 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4371,axiom,
( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
=> tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_4371) ).
fof(f8006,conjecture,
? [X0] :
( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
=> tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query154) ).
fof(f8007,negated_conjecture,
~ ? [X0] :
( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
=> tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X0) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8169,plain,
! [X0] :
( ~ tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X0)
& mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f8175,plain,
( tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170))
| ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
inference(ennf_transformation,[],[f4371]) ).
fof(f8318,plain,
mtvisible(c_currentworlddatacollectormt_nonhomocentric),
inference(cnf_transformation,[],[f8169]) ).
fof(f8319,plain,
! [X0] : ~ tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X0),
inference(cnf_transformation,[],[f8169]) ).
fof(f8328,plain,
( tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170))
| ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
inference(cnf_transformation,[],[f8175]) ).
fof(f8704,definition,
( spl0_24
<=> mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f8705,plain,
( ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric)
| spl0_24 ),
inference(avatar_component_clause,[],[f8704]) ).
fof(f8808,definition,
( spl0_51
<=> tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170)) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f8809,plain,
( tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170))
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f8808]) ).
fof(f8811,plain,
( ~ spl0_24
| spl0_51 ),
inference(avatar_split_clause,[],[f8328,f8808,f8704]) ).
fof(f8812,plain,
( $false
| spl0_24 ),
inference(resolution,[],[f8705,f8318]) ).
fof(f8813,plain,
spl0_24,
inference(avatar_contradiction_clause,[],[f8812]) ).
fof(f8814,plain,
( $false
| ~ spl0_51 ),
inference(resolution,[],[f8809,f8319]) ).
fof(f8815,plain,
~ spl0_51,
inference(avatar_contradiction_clause,[],[f8814]) ).
cnf(s42,plain,
( ~ spl0_24
| spl0_51 ),
inference(sat_conversion,[],[f8811]) ).
cnf(s43,plain,
spl0_24,
inference(sat_conversion,[],[f8813]) ).
cnf(s44,plain,
~ spl0_51,
inference(sat_conversion,[],[f8815]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s42,s44,s43]) ).
fof(f8816,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR054+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:22:32 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.01/1.46 % (3096046)Detected formulas, will run a generic FOF schedule.
% 4.01/1.46 % (3096056)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=306741019:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 4.01/1.46 % (3096051)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4109935603:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 4.01/1.46 % (3096052)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=531617657:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 4.01/1.46 % (3096054)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1282003835:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 4.01/1.46 % (3096053)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3232811998:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 4.01/1.46 % (3096056)Instruction limit reached!
% 4.01/1.46 % (3096056)------------------------------
% 4.01/1.46 % (3096056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.46 % (3096056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.46 % (3096056)CaDiCaL version: 2.1.3
% 4.01/1.46 % (3096056)Termination reason: Instruction limit
% 4.01/1.46 % (3096056)Termination phase: Property scanning
% 4.01/1.46 % (3096056)Time elapsed: 0.045 s
% 4.01/1.46 % (3096056)Peak memory usage: 92 MB
% 4.01/1.46 % (3096056)Instructions burned: 141 (million)
% 4.01/1.46 % (3096057)dis-21_1_sil=8000:lcm=predicate:random_seed=538702038:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 4.01/1.46 % (3096055)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4184845178:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 4.01/1.46 % (3096054)Refutation not found, incomplete strategy
% 4.01/1.46 % (3096054)------------------------------
% 4.01/1.46 % (3096054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.46 % (3096054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.46 % (3096054)CaDiCaL version: 2.1.3
% 4.01/1.46 % (3096054)Termination reason: Refutation not found, incomplete strategy
% 4.01/1.46 % (3096054)Time elapsed: 0.024 s
% 4.01/1.46 % (3096054)Peak memory usage: 92 MB
% 4.01/1.46 % (3096054)Instructions burned: 24 (million)
% 4.01/1.46 % (3096057)First to succeed.
% 4.01/1.46 % (3096057)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3096046"
% 4.01/1.46 % (3096055)Instruction limit reached!
% 4.01/1.46 % (3096055)------------------------------
% 4.01/1.46 % (3096055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.46 % (3096055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.46 % (3096055)CaDiCaL version: 2.1.3
% 4.01/1.46 % (3096055)Termination reason: Instruction limit
% 4.01/1.46 % (3096055)Termination phase: Saturation
% 4.01/1.46 % (3096055)Time elapsed: 0.067 s
% 4.01/1.46 % (3096055)Peak memory usage: 93 MB
% 4.01/1.46 % (3096055)Instructions burned: 120 (million)
% 4.01/1.46 % (3096065)lrs+10_1_sil=8000:sp=occurrence:random_seed=2396780409:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 4.01/1.46 % (3096065)Also succeeded, but the first one will report.
% 4.01/1.46 % (3096066)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3653274913:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 4.01/1.46 % (3096066)Also succeeded, but the first one will report.
% 4.01/1.46 % (3096054)------------------------------
% 4.01/1.46 % (3096054)------------------------------
% 4.01/1.46 % (3096057)Refutation found. Thanks to Tanya!
% 4.01/1.46 % SZS status Theorem for theBenchmark
% 4.01/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 4.01/1.46 % (3096057)------------------------------
% 4.01/1.46 % (3096057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.46 % (3096057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.46 % (3096057)CaDiCaL version: 2.1.3
% 4.01/1.46 % (3096057)Termination reason: Refutation
% 4.01/1.46 % (3096057)Time elapsed: 0.027 s
% 4.01/1.46 % (3096057)Peak memory usage: 95 MB
% 4.01/1.46 % (3096057)Instructions burned: 39 (million)
% 4.01/1.46 % (3096057)------------------------------
% 4.01/1.46 % (3096057)------------------------------
% 4.01/1.46 % (3096046)Success in time 0.603 s
% 4.01/1.46 % Vampire exiting
%------------------------------------------------------------------------------