%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ019-1 : TPTP v9.3.1. Bugfixed v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:31:14 PM UTC 2026
% Result : Unsatisfiable 2.69s 1.39s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 70 ( 18 unt; 8 def)
% Number of atoms : 166 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 176 ( 80 ~; 88 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
! [X0] :
( has_job(steve,X0)
| has_job(thelma,X0)
| has_job(pete,X0)
| has_job(roberta,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',every_job_is_used) ).
fof(f64,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ has_job(X0,chef)
| ~ has_job(X1,guard)
| ~ has_job(X2,nurse)
| ~ has_job(X3,operator)
| ~ has_job(X4,police)
| ~ has_job(X5,teacher)
| ~ has_job(X6,actor)
| ~ has_job(X7,boxer) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',find_who_has_each_job) ).
fof(f66,definition,
( spl0_1
<=> ! [X7] : ~ has_job(X7,boxer) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f67,plain,
( ! [X7] : ~ has_job(X7,boxer)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,definition,
( spl0_2
<=> ! [X6] : ~ has_job(X6,actor) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f70,plain,
( ! [X6] : ~ has_job(X6,actor)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,definition,
( spl0_3
<=> ! [X5] : ~ has_job(X5,teacher) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f73,plain,
( ! [X5] : ~ has_job(X5,teacher)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,definition,
( spl0_4
<=> ! [X4] : ~ has_job(X4,police) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f76,plain,
( ! [X4] : ~ has_job(X4,police)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,definition,
( spl0_5
<=> ! [X3] : ~ has_job(X3,operator) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f79,plain,
( ! [X3] : ~ has_job(X3,operator)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,definition,
( spl0_6
<=> ! [X2] : ~ has_job(X2,nurse) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f82,plain,
( ! [X2] : ~ has_job(X2,nurse)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,definition,
( spl0_7
<=> ! [X1] : ~ has_job(X1,guard) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f85,plain,
( ! [X1] : ~ has_job(X1,guard)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,definition,
( spl0_8
<=> ! [X0] : ~ has_job(X0,chef) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f88,plain,
( ! [X0] : ~ has_job(X0,chef)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f89,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f64,f87,f84,f81,f78,f75,f72,f69,f66]) ).
fof(f103,plain,
( has_job(thelma,actor)
| has_job(pete,actor)
| has_job(roberta,actor)
| ~ spl0_2 ),
inference(resolution,[],[f54,f70]) ).
fof(f122,plain,
( has_job(thelma,actor)
| has_job(pete,actor)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f103,f70]) ).
fof(f155,plain,
( has_job(pete,actor)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f122,f70]) ).
fof(f183,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f155,f70]) ).
fof(f184,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f183]) ).
fof(f185,plain,
( has_job(thelma,teacher)
| has_job(pete,teacher)
| has_job(roberta,teacher)
| ~ spl0_3 ),
inference(resolution,[],[f73,f54]) ).
fof(f186,plain,
( has_job(thelma,teacher)
| has_job(pete,teacher)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f185,f73]) ).
fof(f187,plain,
( has_job(pete,teacher)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f186,f73]) ).
fof(f188,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f187,f73]) ).
fof(f189,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f190,plain,
( has_job(thelma,police)
| has_job(pete,police)
| has_job(roberta,police)
| ~ spl0_4 ),
inference(resolution,[],[f76,f54]) ).
fof(f191,plain,
( has_job(thelma,police)
| has_job(pete,police)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f190,f76]) ).
fof(f192,plain,
( has_job(pete,police)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f191,f76]) ).
fof(f193,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f192,f76]) ).
fof(f194,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f195,plain,
( has_job(thelma,operator)
| has_job(pete,operator)
| has_job(roberta,operator)
| ~ spl0_5 ),
inference(resolution,[],[f79,f54]) ).
fof(f196,plain,
( has_job(thelma,operator)
| has_job(pete,operator)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f195,f79]) ).
fof(f197,plain,
( has_job(pete,operator)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f196,f79]) ).
fof(f198,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f197,f79]) ).
fof(f199,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f200,plain,
( has_job(thelma,nurse)
| has_job(pete,nurse)
| has_job(roberta,nurse)
| ~ spl0_6 ),
inference(resolution,[],[f82,f54]) ).
fof(f201,plain,
( has_job(thelma,nurse)
| has_job(pete,nurse)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f200,f82]) ).
fof(f202,plain,
( has_job(pete,nurse)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f201,f82]) ).
fof(f203,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f202,f82]) ).
fof(f204,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f203]) ).
fof(f205,plain,
( has_job(thelma,guard)
| has_job(pete,guard)
| has_job(roberta,guard)
| ~ spl0_7 ),
inference(resolution,[],[f85,f54]) ).
fof(f206,plain,
( has_job(thelma,guard)
| has_job(pete,guard)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f205,f85]) ).
fof(f207,plain,
( has_job(pete,guard)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f206,f85]) ).
fof(f208,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f207,f85]) ).
fof(f209,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f208]) ).
fof(f210,plain,
( has_job(thelma,chef)
| has_job(pete,chef)
| has_job(roberta,chef)
| ~ spl0_8 ),
inference(resolution,[],[f88,f54]) ).
fof(f211,plain,
( has_job(thelma,chef)
| has_job(pete,chef)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f210,f88]) ).
fof(f212,plain,
( has_job(pete,chef)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f211,f88]) ).
fof(f213,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f212,f88]) ).
fof(f214,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f213]) ).
fof(f215,plain,
( has_job(thelma,boxer)
| has_job(pete,boxer)
| has_job(roberta,boxer)
| ~ spl0_1 ),
inference(resolution,[],[f67,f54]) ).
fof(f216,plain,
( has_job(thelma,boxer)
| has_job(pete,boxer)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f215,f67]) ).
fof(f217,plain,
( has_job(pete,boxer)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f216,f67]) ).
fof(f218,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f217,f67]) ).
fof(f219,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f218]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f89]) ).
cnf(s8,plain,
~ spl0_2,
inference(sat_conversion,[],[f184]) ).
cnf(s9,plain,
~ spl0_3,
inference(sat_conversion,[],[f189]) ).
cnf(s10,plain,
~ spl0_4,
inference(sat_conversion,[],[f194]) ).
cnf(s11,plain,
~ spl0_5,
inference(sat_conversion,[],[f199]) ).
cnf(s12,plain,
~ spl0_6,
inference(sat_conversion,[],[f204]) ).
cnf(s13,plain,
~ spl0_7,
inference(sat_conversion,[],[f209]) ).
cnf(s14,plain,
~ spl0_8,
inference(sat_conversion,[],[f214]) ).
cnf(s15,plain,
~ spl0_1,
inference(sat_conversion,[],[f219]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s1,s14,s13,s12,s11,s10,s9,s8,s15]) ).
fof(f220,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ019-1 : TPTP v9.3.1. Bugfixed v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n007.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 22:28:10 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 2.69/1.39 % (1834962)Input is clausal, will run a generic CNF schedule.
% 2.69/1.39 % (1835047)lrs+10_1_sil=8000:sp=occurrence:random_seed=1222593421:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.69/1.39 % (1835047)First to succeed.
% 2.69/1.39 % (1835047)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1834962"
% 2.69/1.39 % (1835048)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4139276095:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.69/1.39 % (1835049)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2237673148:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.69/1.39 % (1835045)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4282567303:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.69/1.39 % (1835046)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=498567934:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.69/1.39 % (1835050)dis-21_1_sil=8000:lcm=predicate:random_seed=1218415069:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.69/1.39 % (1835049)Also succeeded, but the first one will report.
% 2.69/1.39 % (1835048)Also succeeded, but the first one will report.
% 2.69/1.39 % (1835050)Also succeeded, but the first one will report.
% 2.69/1.39 % (1835044)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=191360999:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.69/1.39 % (1835047)Refutation found. Thanks to Tanya!
% 2.69/1.39 % SZS status Unsatisfiable for theBenchmark
% 2.69/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.39 % (1835047)------------------------------
% 2.69/1.39 % (1835047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.39 % (1835047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.39 % (1835047)CaDiCaL version: 2.1.3
% 2.69/1.39 % (1835047)Termination reason: Refutation
% 2.69/1.39 % (1835047)Time elapsed: 0.002 s
% 2.69/1.39 % (1835047)Peak memory usage: 89 MB
% 2.69/1.39 % (1835047)Instructions burned: 4 (million)
% 2.69/1.39 % (1835047)------------------------------
% 2.69/1.39 % (1835047)------------------------------
% 2.69/1.39 % (1834962)Success in time 0.313 s
% 2.69/1.39 % Vampire exiting
%------------------------------------------------------------------------------